TSTP Solution File: SWW396+1 by CSE---1.7
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%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : SWW396+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:09:17 EDT 2024
% Result : Theorem 164.74s 165.07s
% Output : CNFRefutation 164.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW396+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34 % Computer : n007.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Jun 19 07:42:39 EDT 2024
% 0.13/0.34 % CPUTime :
% 0.57/0.60 start to proof:theBenchmark
% 164.28/164.89 %-------------------------------------------
% 164.28/164.89 % File :CSE---1.7
% 164.28/164.89 % Problem :theBenchmark
% 164.28/164.89 % Transform :cnf
% 164.28/164.89 % Format :tptp:raw
% 164.28/164.89 % Command :java -jar mcs_scs.jar %d %s
% 164.28/164.89
% 164.28/164.89 % Result :Theorem 149.940000s
% 164.28/164.89 % Output :CNFRefutation 149.940000s
% 164.28/164.89 %-------------------------------------------
% 164.28/164.90 %------------------------------------------------------------------------------
% 164.28/164.90 % File : SWW396+1 : TPTP v8.2.0. Released v5.2.0.
% 164.28/164.90 % Domain : Software Verification
% 164.28/164.90 % Problem : Hoare's Logic with Procedures 435839, 5000 axioms selected
% 164.28/164.90 % Version : Especial.
% 164.28/164.90 % English :
% 164.28/164.90
% 164.28/164.90 % Refs : [BN10] Boehme & Nipkow (2010), Sledgehammer: Judgement Day
% 164.28/164.90 % : [Bla11] Blanchette (2011), Email to Geoff Sutcliffe
% 164.28/164.90 % Source : [Bla11]
% 164.28/164.90 % Names : hoare_435839.5000.p [Bla11]
% 164.28/164.90
% 164.28/164.90 % Status : ContradictoryAxioms
% 164.30/164.90 % Rating : 0.81 v8.2.0, 0.75 v8.1.0, 0.81 v7.4.0, 0.90 v7.3.0, 0.83 v7.0.0, 0.87 v6.4.0, 0.85 v6.3.0, 0.83 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
% 164.30/164.90 % Syntax : Number of formulae : 5225 (1698 unt; 0 def)
% 164.30/164.90 % Number of atoms : 12651 (4437 equ)
% 164.30/164.90 % Maximal formula atoms : 13 ( 2 avg)
% 164.30/164.90 % Number of connectives : 8430 (1004 ~; 151 |; 706 &)
% 164.30/164.90 % ( 886 <=>;5683 =>; 0 <=; 0 <~>)
% 164.30/164.90 % Maximal formula depth : 22 ( 6 avg)
% 164.30/164.90 % Maximal term depth : 19 ( 2 avg)
% 164.30/164.90 % Number of predicates : 148 ( 147 usr; 3 prp; 0-6 aty)
% 164.30/164.90 % Number of functors : 399 ( 399 usr; 60 con; 0-10 aty)
% 164.30/164.90 % Number of variables : 16736 (16586 !; 150 ?)
% 164.30/164.90 % SPC : FOF_CAX_RFO_SEQ
% 164.30/164.90
% 164.30/164.90 % Comments : This file was generated by Isabelle (most likely Sledgehammer)
% 164.30/164.90 % 2011-03-01 13:12:15
% 164.30/164.90 %------------------------------------------------------------------------------
% 164.30/164.90 %----Relevant facts (4983)
% 164.30/164.90 fof(fact_ext,axiom,
% 164.30/164.90 ! [V_g_2,V_f_2] :
% 164.30/164.90 ( ! [B_x] : hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x)
% 164.30/164.90 => V_f_2 = V_g_2 ) ).
% 164.30/164.90
% 164.30/164.90 fof(fact_empty,axiom,
% 164.30/164.90 ! [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))) ).
% 164.30/164.90
% 164.30/164.90 fof(fact_trueI,axiom,
% 164.30/164.90 ! [V_ca_2,V_Pa_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)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fTrue)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 164.30/164.90
% 164.30/164.90 fof(fact_falseE,axiom,
% 164.30/164.90 ! [V_Qa_2,V_ca_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)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(c_COMBK(tc_HOL_Obool,tc_Com_Ostate),c_fFalse))),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 164.30/164.90
% 164.30/164.90 fof(fact_hoare__derivs_Oequations_I1_J,axiom,
% 164.30/164.90 ! [V_aa_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_aa_2,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))) ).
% 164.30/164.90
% 164.30/164.90 fof(fact_single__asm,axiom,
% 164.30/164.90 ! [V_t_2,T_b] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 164.30/164.90
% 164.30/164.90 fof(fact_triple_Oinject,axiom,
% 164.30/164.90 ! [V_fun2_H_2,V_com_H_2,V_fun1_H_2,V_fun2_2,V_com_2,V_fun1_2,T_b] :
% 164.30/164.90 ( hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_H_2),V_com_H_2),V_fun2_H_2)
% 164.30/164.90 <=> ( V_fun1_2 = V_fun1_H_2
% 164.30/164.90 & V_com_2 = V_com_H_2
% 164.30/164.90 & V_fun2_2 = V_fun2_H_2 ) ) ).
% 164.30/164.90
% 164.30/164.90 fof(fact_cut,axiom,
% 164.30/164.90 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] :
% 164.30/164.90 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 164.30/164.90 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_G_H_2)
% 164.30/164.90 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 164.30/164.90
% 164.30/164.90 fof(fact_hoare__derivs_Oinsert,axiom,
% 164.30/164.90 ! [V_ts_2,V_t_2,V_Ga_2,T_b] :
% 164.30/164.90 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 164.30/164.90 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2)
% 164.30/164.90 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2)) ) ) ).
% 164.30/164.90
% 164.30/164.90 fof(fact_derivs__insertD,axiom,
% 164.30/164.90 ! [V_ts_2,V_t_2,V_Ga_2,T_b] :
% 164.30/164.90 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),V_ts_2))
% 164.30/164.90 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),V_t_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 164.30/164.90 & c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 164.30/164.90
% 164.30/164.90 fof(fact_disj,axiom,
% 164.30/164.90 ! [V_Q_H_2,V_P_H_2,V_Qa_2,V_ca_2,V_Pa_2,V_Ga_2,T_b] :
% 164.30/164.90 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 164.30/164.90 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_H_2),V_ca_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 164.30/164.90 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(hAPP(c_COMBS(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_fdisj)),V_Pa_2))),V_P_H_2)),V_ca_2),hAPP(hAPP(c_COMBS(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_fdisj)),V_Qa_2))),V_Q_H_2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 164.30/164.90
% 164.30/164.90 fof(fact_hoare__derivs_OLocal,axiom,
% 164.30/164.90 ! [V_aa_2,V_s_H_2,V_X_2,V_Qa_2,V_ca_2,V_Pa_2,V_Ga_2,T_b] :
% 164.30/164.90 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBB(tc_Com_Ostate,tc_HOL_Obool,tc_Com_Ostate)),V_Qa_2)),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Nat_Onat,tc_Com_Ostate),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_Nat_Onat,tc_Com_Ostate)),c_Natural_Oupdate),c_Com_Ovname_OLoc(V_X_2))),c_Natural_Ogetlocs(V_s_H_2,V_X_2))))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 164.30/164.91 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,V_s_H_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBB(tc_Com_Ostate,tc_HOL_Obool,tc_Com_Ostate)),V_Pa_2)),hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_Nat_Onat,tc_Com_Ostate),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_Nat_Onat,tc_Com_Ostate)),c_Natural_Oupdate),c_Com_Ovname_OLoc(V_X_2))),V_aa_2)))),c_Com_Ocom_OLocal(V_X_2,V_aa_2,V_ca_2)),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_bot__fun__def,axiom,
% 164.30/164.91 ! [V_x_2,T_c,T_b] :
% 164.30/164.91 ( class_Orderings_Obot(T_b)
% 164.30/164.91 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_triple_Orecs,axiom,
% 164.30/164.91 ! [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,hAPP(hAPP(hAPP(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) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_triple_Osimps_I2_J,axiom,
% 164.30/164.91 ! [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,hAPP(hAPP(hAPP(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) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_empty__not__insert,axiom,
% 164.30/164.91 ! [V_A_2,V_aa_2,T_b] : c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) != hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_insert__not__empty,axiom,
% 164.30/164.91 ! [V_A_2,V_aa_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_doubleton__eq__iff,axiom,
% 164.30/164.91 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.30/164.91 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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_ca_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_d_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 164.30/164.91 <=> ( ( V_aa_2 = V_ca_2
% 164.30/164.91 & V_b_2 = V_d_2 )
% 164.30/164.91 | ( V_aa_2 = V_d_2
% 164.30/164.91 & V_b_2 = V_ca_2 ) ) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_singleton__inject,axiom,
% 164.30/164.91 ! [V_b_2,V_aa_2,T_b] :
% 164.30/164.91 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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)))
% 164.30/164.91 => V_aa_2 = V_b_2 ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_Ass,axiom,
% 164.30/164.91 ! [V_aa_2,V_X_2,V_Pa_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)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBB(tc_Com_Ostate,tc_HOL_Obool,tc_Com_Ostate)),V_Pa_2)),hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_Nat_Onat,tc_Com_Ostate),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_Nat_Onat,tc_Com_Ostate)),c_Natural_Oupdate),V_X_2)),V_aa_2))),c_Com_Ocom_OAss(V_X_2,V_aa_2)),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_hoare__derivs_Oequations_I8_J,axiom,
% 164.30/164.91 ! [V_a4_2,V_a3_2,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)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBB(tc_Com_Ostate,tc_HOL_Obool,tc_Com_Ostate)),V_a2_2)),hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_Nat_Onat,tc_Com_Ostate),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_Nat_Onat,tc_Com_Ostate)),c_Natural_Oupdate),V_a3_2)),V_a4_2))),c_Com_Ocom_OAss(V_a3_2,V_a4_2)),V_a2_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_bot__apply,axiom,
% 164.30/164.91 ! [V_x_2,T_c,T_b] :
% 164.30/164.91 ( class_Orderings_Obot(T_b)
% 164.30/164.91 => hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Obot__class_Obot(T_b) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_export__s,axiom,
% 164.30/164.91 ! [V_Qa_2,V_ca_2,V_Pa_2,V_Ga_2,T_b] :
% 164.30/164.91 ( ! [B_s_H] : c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,B_s_H)))),V_Pa_2)),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 164.30/164.91 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_insert__code,axiom,
% 164.30/164.91 ! [V_x_2,V_A_2,V_y_2,T_b] :
% 164.30/164.91 ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),V_A_2),V_x_2))
% 164.30/164.91 <=> ( V_y_2 = V_x_2
% 164.30/164.91 | hBOOL(hAPP(V_A_2,V_x_2)) ) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_insert__commute,axiom,
% 164.30/164.91 ! [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)) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_insert__absorb2,axiom,
% 164.30/164.91 ! [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) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_the__elem__eq,axiom,
% 164.30/164.91 ! [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 ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I23_J,axiom,
% 164.30/164.91 ! [V_fun_2,V_vname_2,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_OAss(V_vname_2,V_fun_2) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I22_J,axiom,
% 164.30/164.91 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OLocal(V_loc_H_2,V_fun_H_2,V_com_H_2) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_escape,axiom,
% 164.30/164.91 ! [V_Qa_2,V_ca_2,V_Ga_2,T_b,V_Pa_2] :
% 164.30/164.91 ( ! [B_Z,B_s] :
% 164.30/164.91 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 164.30/164.91 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),hAPP(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_ca_2),hAPP(c_COMBK(tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(V_Qa_2,B_Z)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) )
% 164.30/164.91 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_hoare__derivs_Oequations_I7_J,axiom,
% 164.30/164.91 ! [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)),hAPP(hAPP(hAPP(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)))) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_hoare__derivs_OSkip,axiom,
% 164.30/164.91 ! [V_Pa_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)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OSKIP),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_conseq1,axiom,
% 164.30/164.91 ! [V_Pa_2,V_Qa_2,V_ca_2,V_P_H_2,V_Ga_2,T_b] :
% 164.30/164.91 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_H_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 164.30/164.91 => ( ! [B_Z,B_s] :
% 164.30/164.91 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 164.30/164.91 => hBOOL(hAPP(hAPP(V_P_H_2,B_Z),B_s)) )
% 164.30/164.91 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_conseq2,axiom,
% 164.30/164.91 ! [V_Qa_2,V_Q_H_2,V_ca_2,V_Pa_2,V_Ga_2,T_b] :
% 164.30/164.91 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 164.30/164.91 => ( ! [B_Z,B_s] :
% 164.30/164.91 ( hBOOL(hAPP(hAPP(V_Q_H_2,B_Z),B_s))
% 164.30/164.91 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s)) )
% 164.30/164.91 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_Comp,axiom,
% 164.30/164.91 ! [V_R_2,V_d_2,V_Qa_2,V_ca_2,V_Pa_2,V_Ga_2,T_b] :
% 164.30/164.91 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 164.30/164.91 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Qa_2),V_d_2),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 164.30/164.91 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OSemi(V_ca_2,V_d_2)),V_R_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_LoopF,axiom,
% 164.30/164.91 ! [V_ca_2,V_b_2,V_Pa_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)),hAPP(hAPP(hAPP(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_Pa_2))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate),c_fNot),V_b_2))),c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I2_J,axiom,
% 164.30/164.91 ! [V_com_H_2,V_fun_H_2,V_loc_H_2,V_com_2,V_fun_2,V_loc_2] :
% 164.30/164.91 ( 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)
% 164.30/164.91 <=> ( V_loc_2 = V_loc_H_2
% 164.30/164.91 & V_fun_2 = V_fun_H_2
% 164.30/164.91 & V_com_2 = V_com_H_2 ) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I1_J,axiom,
% 164.30/164.91 ! [V_fun_H_2,V_vname_H_2,V_fun_2,V_vname_2] :
% 164.30/164.91 ( c_Com_Ocom_OAss(V_vname_2,V_fun_2) = c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2)
% 164.30/164.91 <=> ( V_vname_2 = V_vname_H_2
% 164.30/164.91 & V_fun_2 = V_fun_H_2 ) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I5_J,axiom,
% 164.30/164.91 ! [V_com_H_2,V_fun_H_2,V_com_2,V_fun_2] :
% 164.30/164.91 ( c_Com_Ocom_OWhile(V_fun_2,V_com_2) = c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2)
% 164.30/164.91 <=> ( V_fun_2 = V_fun_H_2
% 164.30/164.91 & V_com_2 = V_com_H_2 ) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I3_J,axiom,
% 164.30/164.91 ! [V_com2_H_2,V_com1_H_2,V_com2_2,V_com1_2] :
% 164.30/164.91 ( c_Com_Ocom_OSemi(V_com1_2,V_com2_2) = c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2)
% 164.30/164.91 <=> ( V_com1_2 = V_com1_H_2
% 164.30/164.91 & V_com2_2 = V_com2_H_2 ) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I47_J,axiom,
% 164.30/164.91 ! [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) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I46_J,axiom,
% 164.30/164.91 ! [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) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I17_J,axiom,
% 164.30/164.91 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OSKIP ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I13_J,axiom,
% 164.30/164.91 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSemi(V_com1_H,V_com2_H) != c_Com_Ocom_OSKIP ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I16_J,axiom,
% 164.30/164.91 ! [V_com_H_2,V_fun_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I12_J,axiom,
% 164.30/164.91 ! [V_com2_H,V_com1_H] : c_Com_Ocom_OSKIP != c_Com_Ocom_OSemi(V_com1_H,V_com2_H) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I29_J,axiom,
% 164.30/164.91 ! [V_fun_2,V_vname_2,V_com_H_2,V_fun_H_2] : c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I28_J,axiom,
% 164.30/164.91 ! [V_com_H_2,V_fun_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OWhile(V_fun_H_2,V_com_H_2) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I39_J,axiom,
% 164.30/164.91 ! [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) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I38_J,axiom,
% 164.30/164.91 ! [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) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I25_J,axiom,
% 164.30/164.91 ! [V_fun_2,V_vname_2,V_com2_H_2,V_com1_H_2] : c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) != c_Com_Ocom_OAss(V_vname_2,V_fun_2) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I24_J,axiom,
% 164.30/164.91 ! [V_com2_H_2,V_com1_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OSemi(V_com1_H_2,V_com2_H_2) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I35_J,axiom,
% 164.30/164.91 ! [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) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I34_J,axiom,
% 164.30/164.91 ! [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) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I9_J,axiom,
% 164.30/164.91 ! [V_fun_H_2,V_vname_H_2] : c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) != c_Com_Ocom_OSKIP ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I8_J,axiom,
% 164.30/164.91 ! [V_fun_H_2,V_vname_H_2] : c_Com_Ocom_OSKIP != c_Com_Ocom_OAss(V_vname_H_2,V_fun_H_2) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I10_J,axiom,
% 164.30/164.91 ! [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) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_com_Osimps_I11_J,axiom,
% 164.30/164.91 ! [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 ).
% 164.30/164.91
% 164.30/164.91 fof(fact_vname_Osimps_I2_J,axiom,
% 164.30/164.91 ! [V_loc_H_2,V_loc_2] :
% 164.30/164.91 ( c_Com_Ovname_OLoc(V_loc_2) = c_Com_Ovname_OLoc(V_loc_H_2)
% 164.30/164.91 <=> V_loc_2 = V_loc_H_2 ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_hoare__SkipI,axiom,
% 164.30/164.91 ! [V_Ga_2,T_b,V_Qa_2,V_Pa_2] :
% 164.30/164.91 ( ! [B_Z,B_s] :
% 164.30/164.91 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 164.30/164.91 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s)) )
% 164.30/164.91 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OSKIP),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_the__elem__def,axiom,
% 164.30/164.91 ! [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))))) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_vname_Orecs_I2_J,axiom,
% 164.30/164.91 ! [V_loc_2,V_f2_2,V_f1_2,T_b] : c_Com_Ovname_Ovname__rec(T_b,V_f1_2,V_f2_2,c_Com_Ovname_OLoc(V_loc_2)) = hAPP(V_f2_2,V_loc_2) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_vname_Osimps_I6_J,axiom,
% 164.30/164.91 ! [V_loc_2,V_f2_2,V_f1_2,T_b] : c_Com_Ovname_Ovname__case(T_b,V_f1_2,V_f2_2,c_Com_Ovname_OLoc(V_loc_2)) = hAPP(V_f2_2,V_loc_2) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_evalc_OLocal,axiom,
% 164.30/164.91 ! [V_s1_2,V_aa_2,V_Ya_2,V_s0_2,V_ca_2] :
% 164.30/164.91 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s0_2),c_Com_Ovname_OLoc(V_Ya_2)),hAPP(V_aa_2,V_s0_2))),V_s1_2))
% 164.30/164.91 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(V_Ya_2,V_aa_2,V_ca_2)),V_s0_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s1_2),c_Com_Ovname_OLoc(V_Ya_2)),c_Natural_Ogetlocs(V_s0_2,V_Ya_2)))) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_evaln_OLocal,axiom,
% 164.30/164.91 ! [V_s1_2,V_n_2,V_aa_2,V_Ya_2,V_s0_2,V_ca_2] :
% 164.30/164.91 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s0_2),c_Com_Ovname_OLoc(V_Ya_2)),hAPP(V_aa_2,V_s0_2))),V_n_2),V_s1_2))
% 164.30/164.91 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OLocal(V_Ya_2,V_aa_2,V_ca_2)),V_s0_2),V_n_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s1_2),c_Com_Ovname_OLoc(V_Ya_2)),c_Natural_Ogetlocs(V_s0_2,V_Ya_2)))) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_Loop,axiom,
% 164.30/164.91 ! [V_ca_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 164.30/164.91 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_b_2)),V_ca_2),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 164.30/164.91 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OWhile(V_b_2,V_ca_2)),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_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)))) ) ).
% 164.30/164.91
% 164.30/164.91 fof(fact_evalc_Oequations_I3_J,axiom,
% 164.30/164.91 ! [V_a5_2,V_a2_2,V_a1_2,V_a4_2,V_a3_2] :
% 164.30/164.91 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(V_a3_2,V_a4_2,V_a1_2)),V_a2_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_a5_2),c_Com_Ovname_OLoc(V_a3_2)),c_Natural_Ogetlocs(V_a2_2,V_a3_2))))
% 164.30/164.92 <=> ? [B_s1] :
% 164.30/164.92 ( hAPP(hAPP(hAPP(c_Natural_Oupdate,V_a5_2),c_Com_Ovname_OLoc(V_a3_2)),c_Natural_Ogetlocs(V_a2_2,V_a3_2)) = hAPP(hAPP(hAPP(c_Natural_Oupdate,B_s1),c_Com_Ovname_OLoc(V_a3_2)),c_Natural_Ogetlocs(V_a2_2,V_a3_2))
% 164.30/164.92 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a1_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_a2_2),c_Com_Ovname_OLoc(V_a3_2)),hAPP(V_a4_2,V_a2_2))),B_s1)) ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evaln_Oequations_I3_J,axiom,
% 164.30/164.92 ! [V_a6_2,V_a5_2,V_a2_2,V_a1_2,V_a4_2,V_a3_2] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OLocal(V_a3_2,V_a4_2,V_a1_2)),V_a2_2),V_a5_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_a6_2),c_Com_Ovname_OLoc(V_a3_2)),c_Natural_Ogetlocs(V_a2_2,V_a3_2))))
% 164.30/164.92 <=> ? [B_s1] :
% 164.30/164.92 ( hAPP(hAPP(hAPP(c_Natural_Oupdate,V_a6_2),c_Com_Ovname_OLoc(V_a3_2)),c_Natural_Ogetlocs(V_a2_2,V_a3_2)) = hAPP(hAPP(hAPP(c_Natural_Oupdate,B_s1),c_Com_Ovname_OLoc(V_a3_2)),c_Natural_Ogetlocs(V_a2_2,V_a3_2))
% 164.30/164.92 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a1_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_a2_2),c_Com_Ovname_OLoc(V_a3_2)),hAPP(V_a4_2,V_a2_2))),V_a5_2),B_s1)) ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_hoare__sound,axiom,
% 164.30/164.92 ! [V_ts_2,V_Ga_2,T_b] :
% 164.30/164.92 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2)
% 164.30/164.92 => c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,V_ts_2) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_conseq12,axiom,
% 164.30/164.92 ! [V_Qa_2,V_Pa_2,V_Q_H_2,V_ca_2,V_P_H_2,V_Ga_2,T_b] :
% 164.30/164.92 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_P_H_2),V_ca_2),V_Q_H_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 164.30/164.92 => ( ! [B_Z,B_s] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 164.30/164.92 => ! [B_s_H] :
% 164.30/164.92 ( ! [B_Z_H] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(V_P_H_2,B_Z_H),B_s))
% 164.30/164.92 => hBOOL(hAPP(hAPP(V_Q_H_2,B_Z_H),B_s_H)) )
% 164.30/164.92 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H)) ) )
% 164.30/164.92 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_vname_Osimps_I3_J,axiom,
% 164.30/164.92 ! [V_loc_H,V_glb] : c_Com_Ovname_OGlb(V_glb) != c_Com_Ovname_OLoc(V_loc_H) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evaln_OWhileFalse,axiom,
% 164.30/164.92 ! [V_n_2,V_ca_2,V_s_2,V_b_2] :
% 164.30/164.92 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 164.30/164.92 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s_2),V_n_2),V_s_2)) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evaln_OWhileTrue,axiom,
% 164.30/164.92 ! [V_s2_2,V_s1_2,V_n_2,V_ca_2,V_s0_2,V_b_2] :
% 164.30/164.92 ( hBOOL(hAPP(V_b_2,V_s0_2))
% 164.30/164.92 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),V_s0_2),V_n_2),V_s1_2))
% 164.30/164.92 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s1_2),V_n_2),V_s2_2))
% 164.30/164.92 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s0_2),V_n_2),V_s2_2)) ) ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evalc_OWhileFalse,axiom,
% 164.30/164.92 ! [V_ca_2,V_s_2,V_b_2] :
% 164.30/164.92 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 164.30/164.92 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s_2),V_s_2)) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evalc_OWhileTrue,axiom,
% 164.30/164.92 ! [V_s2_2,V_s1_2,V_ca_2,V_s0_2,V_b_2] :
% 164.30/164.92 ( hBOOL(hAPP(V_b_2,V_s0_2))
% 164.30/164.92 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s0_2),V_s1_2))
% 164.30/164.92 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s1_2),V_s2_2))
% 164.30/164.92 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s0_2),V_s2_2)) ) ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evaln_OSkip,axiom,
% 164.30/164.92 ! [V_n,V_s] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_s),V_n),V_s)) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evaln__elim__cases_I1_J,axiom,
% 164.30/164.92 ! [V_t,V_n,V_s] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_s),V_n),V_t))
% 164.30/164.92 => V_t = V_s ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evaln_OSemi,axiom,
% 164.30/164.92 ! [V_s2,V_c1,V_s1,V_n,V_s0,V_c0] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c0),V_s0),V_n),V_s1))
% 164.30/164.92 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1),V_s1),V_n),V_s2))
% 164.30/164.92 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_n),V_s2)) ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evalc_OSkip,axiom,
% 164.30/164.92 ! [V_s] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_s)) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evalc__elim__cases_I1_J,axiom,
% 164.30/164.92 ! [V_t,V_s] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_s),V_t))
% 164.30/164.92 => V_t = V_s ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evalc_OSemi,axiom,
% 164.30/164.92 ! [V_s2,V_c1,V_s1,V_s0,V_c0] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0),V_s0),V_s1))
% 164.30/164.92 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s1),V_s2))
% 164.30/164.92 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c0,V_c1)),V_s0),V_s2)) ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evaln__elim__cases_I2_J,axiom,
% 164.30/164.92 ! [V_t_2,V_n_2,V_s_2,V_aa_2,V_X_2] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OAss(V_X_2,V_aa_2)),V_s_2),V_n_2),V_t_2))
% 164.30/164.92 => V_t_2 = hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),V_X_2),hAPP(V_aa_2,V_s_2)) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evaln_OAssign,axiom,
% 164.30/164.92 ! [V_n_2,V_s_2,V_aa_2,V_X_2] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OAss(V_X_2,V_aa_2)),V_s_2),V_n_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),V_X_2),hAPP(V_aa_2,V_s_2)))) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evalc__elim__cases_I2_J,axiom,
% 164.30/164.92 ! [V_t_2,V_s_2,V_aa_2,V_X_2] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(V_X_2,V_aa_2)),V_s_2),V_t_2))
% 164.30/164.92 => V_t_2 = hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),V_X_2),hAPP(V_aa_2,V_s_2)) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evalc_OAssign,axiom,
% 164.30/164.92 ! [V_s_2,V_aa_2,V_X_2] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(V_X_2,V_aa_2)),V_s_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),V_X_2),hAPP(V_aa_2,V_s_2)))) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_vname_Osimps_I5_J,axiom,
% 164.30/164.92 ! [V_glb_2,V_f2_2,V_f1_2,T_b] : c_Com_Ovname_Ovname__case(T_b,V_f1_2,V_f2_2,c_Com_Ovname_OGlb(V_glb_2)) = hAPP(V_f1_2,V_glb_2) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_vname_Orecs_I1_J,axiom,
% 164.30/164.92 ! [V_glb_2,V_f2_2,V_f1_2,T_b] : c_Com_Ovname_Ovname__rec(T_b,V_f1_2,V_f2_2,c_Com_Ovname_OGlb(V_glb_2)) = hAPP(V_f1_2,V_glb_2) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_eval__eq,axiom,
% 164.30/164.92 ! [V_t_2,V_s_2,V_ca_2] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s_2),V_t_2))
% 164.30/164.92 <=> ? [B_n] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),V_s_2),B_n),V_t_2)) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_com__det,axiom,
% 164.30/164.92 ! [V_u,V_t,V_s,V_c] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))
% 164.30/164.92 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_u))
% 164.30/164.92 => V_u = V_t ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evaln__evalc,axiom,
% 164.30/164.92 ! [V_t,V_n,V_s,V_c] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_t))
% 164.30/164.92 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t)) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_vname_Osimps_I1_J,axiom,
% 164.30/164.92 ! [V_glb_H_2,V_glb_2] :
% 164.30/164.92 ( c_Com_Ovname_OGlb(V_glb_2) = c_Com_Ovname_OGlb(V_glb_H_2)
% 164.30/164.92 <=> V_glb_2 = V_glb_H_2 ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evaln_Oequations_I7_J,axiom,
% 164.30/164.92 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a4_2),V_a2_2))
% 164.30/164.92 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 164.30/164.92 => ? [B_s1] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),B_s1))
% 164.30/164.92 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a4_2),V_a2_2)) ) ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evaln_Oequations_I8_J,axiom,
% 164.30/164.92 ! [V_a6_2,V_a4_2,V_a2_2,V_a3_2,V_a1_2] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a4_2),V_a6_2))
% 164.30/164.92 <=> ( ( V_a6_2 = V_a2_2
% 164.30/164.92 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 164.30/164.92 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 164.30/164.92 & ? [B_s1] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),B_s1))
% 164.30/164.92 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a4_2),V_a6_2)) ) ) ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evalc_Oequations_I7_J,axiom,
% 164.30/164.92 ! [V_a2_2,V_a3_2,V_a1_2] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a2_2))
% 164.30/164.92 <=> ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 164.30/164.92 => ? [B_s1] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1))
% 164.30/164.92 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a2_2)) ) ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evalc_Oequations_I8_J,axiom,
% 164.30/164.92 ! [V_a5_2,V_a2_2,V_a3_2,V_a1_2] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),V_a2_2),V_a5_2))
% 164.30/164.92 <=> ( ( V_a5_2 = V_a2_2
% 164.30/164.92 & ~ hBOOL(hAPP(V_a1_2,V_a2_2)) )
% 164.30/164.92 | ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 164.30/164.92 & ? [B_s1] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),B_s1))
% 164.30/164.92 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_a1_2,V_a3_2)),B_s1),V_a5_2)) ) ) ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evaln_Oequations_I1_J,axiom,
% 164.30/164.92 ! [V_a2,V_a1] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSKIP),V_a1),V_a2),V_a1)) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evaln_Oequations_I4_J,axiom,
% 164.30/164.92 ! [V_a6_2,V_a3_2,V_a2_2,V_a5_2,V_a1_2] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(V_a1_2,V_a5_2)),V_a2_2),V_a3_2),V_a6_2))
% 164.30/164.92 <=> ? [B_s1] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a1_2),V_a2_2),V_a3_2),B_s1))
% 164.30/164.92 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a5_2),B_s1),V_a3_2),V_a6_2)) ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evalc_Oequations_I1_J,axiom,
% 164.30/164.92 ! [V_a] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSKIP),V_a),V_a)) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evalc_Oequations_I4_J,axiom,
% 164.30/164.92 ! [V_a5_2,V_a2_2,V_a4_2,V_a1_2] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_a1_2,V_a4_2)),V_a2_2),V_a5_2))
% 164.30/164.92 <=> ? [B_s1] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a1_2),V_a2_2),B_s1))
% 164.30/164.92 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a4_2),B_s1),V_a5_2)) ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_peek__and__def,axiom,
% 164.30/164.92 ! [V_s_2,V_Z_2,V_p_2,V_Pa_2,T_b] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_p_2),V_Z_2),V_s_2))
% 164.30/164.92 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_Z_2),V_s_2))
% 164.30/164.92 & hBOOL(hAPP(V_p_2,V_s_2)) ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evaln_Oequations_I2_J,axiom,
% 164.30/164.92 ! [V_a4_2,V_a3_2,V_a2_2,V_a1_2] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OAss(V_a1_2,V_a2_2)),V_a3_2),V_a4_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_a3_2),V_a1_2),hAPP(V_a2_2,V_a3_2)))) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evalc_Oequations_I2_J,axiom,
% 164.30/164.92 ! [V_a3_2,V_a2_2,V_a1_2] : hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OAss(V_a1_2,V_a2_2)),V_a3_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_a3_2),V_a1_2),hAPP(V_a2_2,V_a3_2)))) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_Loop__sound__lemma,axiom,
% 164.30/164.92 ! [V_ca_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 164.30/164.92 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_b_2)),V_ca_2),V_Pa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 164.30/164.92 => c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OWhile(V_b_2,V_ca_2)),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_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)))) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_vname_Osimps_I4_J,axiom,
% 164.30/164.92 ! [V_glb,V_loc_H] : c_Com_Ovname_OLoc(V_loc_H) != c_Com_Ovname_OGlb(V_glb) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_hoare__derivs_OIf,axiom,
% 164.30/164.92 ! [V_d_2,V_Qa_2,V_ca_2,V_b_2,V_Pa_2,V_Ga_2,T_b] :
% 164.30/164.92 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,V_b_2)),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 164.30/164.92 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),c_Hoare__Mirabelle_Opeek__and(T_b,V_Pa_2,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Ostate,c_fNot),V_b_2))),V_d_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool))))
% 164.30/164.92 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),c_Com_Ocom_OCond(V_b_2,V_ca_2,V_d_2)),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)))) ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evalc__elim__cases_I3_J,axiom,
% 164.30/164.92 ! [V_t_2,V_s_2,V_ca_2,V_aa_2,V_Ya_2] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OLocal(V_Ya_2,V_aa_2,V_ca_2)),V_s_2),V_t_2))
% 164.30/164.92 => ~ ! [B_s1] :
% 164.30/164.92 ( V_t_2 = hAPP(hAPP(hAPP(c_Natural_Oupdate,B_s1),c_Com_Ovname_OLoc(V_Ya_2)),c_Natural_Ogetlocs(V_s_2,V_Ya_2))
% 164.30/164.92 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),c_Com_Ovname_OLoc(V_Ya_2)),hAPP(V_aa_2,V_s_2))),B_s1)) ) ) ).
% 164.30/164.92
% 164.30/164.92 fof(fact_evaln__elim__cases_I3_J,axiom,
% 164.30/164.92 ! [V_t_2,V_n_2,V_s_2,V_ca_2,V_aa_2,V_Ya_2] :
% 164.30/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OLocal(V_Ya_2,V_aa_2,V_ca_2)),V_s_2),V_n_2),V_t_2))
% 164.30/164.92 => ~ ! [B_s1] :
% 164.30/164.92 ( V_t_2 = hAPP(hAPP(hAPP(c_Natural_Oupdate,B_s1),c_Com_Ovname_OLoc(V_Ya_2)),c_Natural_Ogetlocs(V_s_2,V_Ya_2))
% 164.34/164.92 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),hAPP(hAPP(hAPP(c_Natural_Oupdate,V_s_2),c_Com_Ovname_OLoc(V_Ya_2)),hAPP(V_aa_2,V_s_2))),V_n_2),B_s1)) ) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_the__sym__eq__trivial,axiom,
% 164.34/164.92 ! [V_x_2,T_b] : c_HOL_OThe(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 164.34/164.92
% 164.34/164.92 fof(fact_the__eq__trivial,axiom,
% 164.34/164.92 ! [V_aa_2,T_b] : c_HOL_OThe(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_aa_2)) = V_aa_2 ).
% 164.34/164.92
% 164.34/164.92 fof(fact_o__def,axiom,
% 164.34/164.92 ! [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)) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_K__record__comp,axiom,
% 164.34/164.92 ! [V_x_2,V_f_2,V_ca_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_ca_2)),V_f_2),V_x_2) = V_ca_2 ).
% 164.34/164.92
% 164.34/164.92 fof(fact_triple__valid__def2,axiom,
% 164.34/164.92 ! [V_Qa_2,V_ca_2,V_Pa_2,V_n_2,T_b] :
% 164.34/164.92 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_Pa_2),V_ca_2),V_Qa_2))
% 164.34/164.92 <=> ! [B_Z,B_s] :
% 164.34/164.92 ( hBOOL(hAPP(hAPP(V_Pa_2,B_Z),B_s))
% 164.34/164.92 => ! [B_s_H] :
% 164.34/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),B_s),V_n_2),B_s_H))
% 164.34/164.92 => hBOOL(hAPP(hAPP(V_Qa_2,B_Z),B_s_H)) ) ) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_evalc__elim__cases_I4_J,axiom,
% 164.34/164.92 ! [V_t,V_s,V_c2,V_c1] :
% 164.34/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_t))
% 164.34/164.92 => ~ ! [B_s1] :
% 164.34/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1),V_s),B_s1))
% 164.34/164.92 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2),B_s1),V_t)) ) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_evaln__elim__cases_I4_J,axiom,
% 164.34/164.92 ! [V_t,V_n,V_s,V_c2,V_c1] :
% 164.34/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OSemi(V_c1,V_c2)),V_s),V_n),V_t))
% 164.34/164.92 => ~ ! [B_s1] :
% 164.34/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1),V_s),V_n),B_s1))
% 164.34/164.92 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c2),B_s1),V_n),V_t)) ) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_o__assoc,axiom,
% 164.34/164.92 ! [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) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_o__apply,axiom,
% 164.34/164.92 ! [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)) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_evaln__elim__cases_I5_J,axiom,
% 164.34/164.92 ! [V_t_2,V_n_2,V_s_2,V_c2_2,V_c1_2,V_b_2] :
% 164.34/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)),V_s_2),V_n_2),V_t_2))
% 164.34/164.92 => ( ( hBOOL(hAPP(V_b_2,V_s_2))
% 164.34/164.92 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1_2),V_s_2),V_n_2),V_t_2)) )
% 164.34/164.92 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 164.34/164.92 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c2_2),V_s_2),V_n_2),V_t_2)) ) ) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_evaln_OIfTrue,axiom,
% 164.34/164.92 ! [V_c1_2,V_s1_2,V_n_2,V_c0_2,V_s_2,V_b_2] :
% 164.34/164.92 ( hBOOL(hAPP(V_b_2,V_s_2))
% 164.34/164.92 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c0_2),V_s_2),V_n_2),V_s1_2))
% 164.34/164.92 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_n_2),V_s1_2)) ) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_evaln_OIfFalse,axiom,
% 164.34/164.92 ! [V_c0_2,V_s1_2,V_n_2,V_c1_2,V_s_2,V_b_2] :
% 164.34/164.92 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 164.34/164.92 => ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c1_2),V_s_2),V_n_2),V_s1_2))
% 164.34/164.92 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_n_2),V_s1_2)) ) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_evalc__elim__cases_I5_J,axiom,
% 164.34/164.92 ! [V_t_2,V_s_2,V_c2_2,V_c1_2,V_b_2] :
% 164.34/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)),V_s_2),V_t_2))
% 164.34/164.92 => ( ( hBOOL(hAPP(V_b_2,V_s_2))
% 164.34/164.92 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_t_2)) )
% 164.34/164.92 => ~ ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 164.34/164.92 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c2_2),V_s_2),V_t_2)) ) ) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_evalc_OIfTrue,axiom,
% 164.34/164.92 ! [V_c1_2,V_s1_2,V_c0_2,V_s_2,V_b_2] :
% 164.34/164.92 ( hBOOL(hAPP(V_b_2,V_s_2))
% 164.34/164.92 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c0_2),V_s_2),V_s1_2))
% 164.34/164.92 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_s1_2)) ) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_evalc_OIfFalse,axiom,
% 164.34/164.92 ! [V_c0_2,V_s1_2,V_c1_2,V_s_2,V_b_2] :
% 164.34/164.92 ( ~ hBOOL(hAPP(V_b_2,V_s_2))
% 164.34/164.92 => ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c1_2),V_s_2),V_s1_2))
% 164.34/164.92 => hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2)),V_s_2),V_s1_2)) ) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_com_Osimps_I4_J,axiom,
% 164.34/164.92 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_com2_2,V_com1_2,V_fun_2] :
% 164.34/164.92 ( 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)
% 164.34/164.92 <=> ( V_fun_2 = V_fun_H_2
% 164.34/164.92 & V_com1_2 = V_com1_H_2
% 164.34/164.92 & V_com2_2 = V_com2_H_2 ) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_evaln_Oequations_I6_J,axiom,
% 164.34/164.92 ! [V_a5_2,V_a4_2,V_a2_2,V_a3_2,V_a6_2,V_a1_2] :
% 164.34/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_a1_2,V_a6_2,V_a3_2)),V_a2_2),V_a4_2),V_a5_2))
% 164.34/164.92 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 164.34/164.92 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a6_2),V_a2_2),V_a4_2),V_a5_2)) )
% 164.34/164.92 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 164.34/164.92 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),V_a5_2)) ) ) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_evaln_Oequations_I5_J,axiom,
% 164.34/164.92 ! [V_a5_2,V_a4_2,V_a2_2,V_a6_2,V_a3_2,V_a1_2] :
% 164.34/164.92 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a6_2)),V_a2_2),V_a4_2),V_a5_2))
% 164.34/164.92 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 164.34/164.92 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a3_2),V_a2_2),V_a4_2),V_a5_2)) )
% 164.34/164.92 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 164.34/164.92 & hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_a6_2),V_a2_2),V_a4_2),V_a5_2)) ) ) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_evalc_Oequations_I6_J,axiom,
% 164.34/164.92 ! [V_a4_2,V_a2_2,V_a3_2,V_a5_2,V_a1_2] :
% 164.34/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a5_2,V_a3_2)),V_a2_2),V_a4_2))
% 164.34/164.92 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 164.34/164.92 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) )
% 164.34/164.92 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 164.34/164.92 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) ) ) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_evalc_Oequations_I5_J,axiom,
% 164.34/164.92 ! [V_a4_2,V_a2_2,V_a5_2,V_a3_2,V_a1_2] :
% 164.34/164.92 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OCond(V_a1_2,V_a3_2,V_a5_2)),V_a2_2),V_a4_2))
% 164.34/164.92 <=> ( ( hBOOL(hAPP(V_a1_2,V_a2_2))
% 164.34/164.92 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a3_2),V_a2_2),V_a4_2)) )
% 164.34/164.92 | ( ~ hBOOL(hAPP(V_a1_2,V_a2_2))
% 164.34/164.92 & hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_a5_2),V_a2_2),V_a4_2)) ) ) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_com_Osimps_I52_J,axiom,
% 164.34/164.92 ! [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) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_com_Osimps_I53_J,axiom,
% 164.34/164.92 ! [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) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_com_Osimps_I27_J,axiom,
% 164.34/164.92 ! [V_fun_2,V_vname_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_OAss(V_vname_2,V_fun_2) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_com_Osimps_I26_J,axiom,
% 164.34/164.92 ! [V_com2_H_2,V_com1_H_2,V_fun_H_2,V_fun_2,V_vname_2] : c_Com_Ocom_OAss(V_vname_2,V_fun_2) != c_Com_Ocom_OCond(V_fun_H_2,V_com1_H_2,V_com2_H_2) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_com_Osimps_I45_J,axiom,
% 164.34/164.92 ! [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) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_com_Osimps_I15_J,axiom,
% 164.34/164.92 ! [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 ).
% 164.34/164.92
% 164.34/164.92 fof(fact_com_Osimps_I44_J,axiom,
% 164.34/164.92 ! [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) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_com_Osimps_I14_J,axiom,
% 164.34/164.92 ! [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) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_com_Osimps_I37_J,axiom,
% 164.34/164.92 ! [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) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_com_Osimps_I36_J,axiom,
% 164.34/164.92 ! [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) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_o__eq__elim,axiom,
% 164.34/164.92 ! [V_d_2,V_ca_2,T_e,V_b_2,V_aa_2,T_b,T_c,T_d] :
% 164.34/164.92 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_aa_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_ca_2),V_d_2)
% 164.34/164.92 => ! [B_v] : hAPP(V_aa_2,hAPP(V_b_2,B_v)) = hAPP(V_ca_2,hAPP(V_d_2,B_v)) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_o__eq__dest,axiom,
% 164.34/164.92 ! [V_v_2,V_d_2,V_ca_2,T_e,V_b_2,V_aa_2,T_b,T_c,T_d] :
% 164.34/164.92 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_aa_2),V_b_2) = hAPP(c_Fun_Ocomp(T_e,T_c,T_b,V_ca_2),V_d_2)
% 164.34/164.92 => hAPP(V_aa_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,hAPP(V_d_2,V_v_2)) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_o__eq__dest__lhs,axiom,
% 164.34/164.92 ! [V_v_2,V_ca_2,V_b_2,V_aa_2,T_b,T_c,T_d] :
% 164.34/164.92 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_aa_2),V_b_2) = V_ca_2
% 164.34/164.92 => hAPP(V_aa_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ).
% 164.34/164.92
% 164.34/164.92 fof(fact_comp__cong,axiom,
% 164.34/164.92 ! [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] :
% 164.34/164.92 ( 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))
% 164.34/164.92 => 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) ) ).
% 164.34/164.92
% 164.34/164.93 fof(fact_override__on__emptyset,axiom,
% 164.34/164.93 ! [V_g_2,V_f_2,T_c,T_b] : c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = V_f_2 ).
% 164.34/164.93
% 164.34/164.93 fof(fact_evalc__WHILE__case,axiom,
% 164.34/164.93 ! [V_t_2,V_s_2,V_ca_2,V_b_2] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s_2),V_t_2))
% 164.34/164.93 => ( ( V_t_2 = V_s_2
% 164.34/164.93 => hBOOL(hAPP(V_b_2,V_s_2)) )
% 164.34/164.93 => ~ ( hBOOL(hAPP(V_b_2,V_s_2))
% 164.34/164.93 => ! [B_s1] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_ca_2),V_s_2),B_s1))
% 164.34/164.93 => ~ hBOOL(hAPP(hAPP(c_Natural_Oevalc(c_Com_Ocom_OWhile(V_b_2,V_ca_2)),B_s1),V_t_2)) ) ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_evaln__WHILE__case,axiom,
% 164.34/164.93 ! [V_t_2,V_n_2,V_s_2,V_ca_2,V_b_2] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),V_s_2),V_n_2),V_t_2))
% 164.34/164.93 => ( ( V_t_2 = V_s_2
% 164.34/164.93 => hBOOL(hAPP(V_b_2,V_s_2)) )
% 164.34/164.93 => ~ ( hBOOL(hAPP(V_b_2,V_s_2))
% 164.34/164.93 => ! [B_s1] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_ca_2),V_s_2),V_n_2),B_s1))
% 164.34/164.93 => ~ hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,c_Com_Ocom_OWhile(V_b_2,V_ca_2)),B_s1),V_n_2),V_t_2)) ) ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_evalc__evaln,axiom,
% 164.34/164.93 ! [V_t,V_s,V_c] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_Natural_Oevalc(V_c),V_s),V_t))
% 164.34/164.93 => ? [B_n] : hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),B_n),V_t)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_hoare__valids__def,axiom,
% 164.34/164.93 ! [V_ts_2,V_Ga_2,T_b] :
% 164.34/164.93 ( c_Hoare__Mirabelle_Ohoare__valids(T_b,V_Ga_2,V_ts_2)
% 164.34/164.93 <=> ! [B_n] :
% 164.34/164.93 ( ! [B_x] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_Ga_2))
% 164.34/164.93 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) )
% 164.34/164.93 => ! [B_x] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2))
% 164.34/164.93 => c_Hoare__Mirabelle_Otriple__valid(T_b,B_n,B_x) ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_the__equality,axiom,
% 164.34/164.93 ! [T_b,V_aa_2,V_Pa_2] :
% 164.34/164.93 ( hBOOL(hAPP(V_Pa_2,V_aa_2))
% 164.34/164.93 => ( ! [B_x] :
% 164.34/164.93 ( hBOOL(hAPP(V_Pa_2,B_x))
% 164.34/164.93 => B_x = V_aa_2 )
% 164.34/164.93 => c_HOL_OThe(T_b,V_Pa_2) = V_aa_2 ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_MGT__def,axiom,
% 164.34/164.93 ! [V_ca_2] : c_Hoare__Mirabelle_OMGT(V_ca_2) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),V_ca_2),c_Natural_Oevalc(V_ca_2)) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_enum__the__def,axiom,
% 164.34/164.93 ! [V_Pa_2,T_b] : c_Enum_Oenum__the(T_b,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_com_Osimps_I67_J,axiom,
% 164.34/164.93 ! [V_com2_2,V_com1_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSemi(V_com1_2,V_com2_2)) = hAPP(hAPP(V_f4_2,V_com1_2),V_com2_2) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_com_Osimps_I64_J,axiom,
% 164.34/164.93 ! [V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OSKIP) = V_f1_2 ).
% 164.34/164.93
% 164.34/164.93 fof(fact_MGF__complete,axiom,
% 164.34/164.93 ! [V_Qa_2,V_Pa_2,V_ca_2] :
% 164.34/164.93 ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 164.34/164.93 => ( c_Hoare__Mirabelle_Ohoare__valids(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_Pa_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 164.34/164.93 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_Pa_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_ball__empty,axiom,
% 164.34/164.93 ! [V_Pa_2,T_b,B_x] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 164.34/164.93 => hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_com_Osimps_I69_J,axiom,
% 164.34/164.93 ! [V_com_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OWhile(V_fun_2,V_com_2)) = hAPP(hAPP(V_f6_2,V_fun_2),V_com_2) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_com_Osimps_I68_J,axiom,
% 164.34/164.93 ! [V_com2_2,V_com1_2,V_fun_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OCond(V_fun_2,V_com1_2,V_com2_2)) = hAPP(hAPP(hAPP(V_f5_2,V_fun_2),V_com1_2),V_com2_2) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_com_Osimps_I65_J,axiom,
% 164.34/164.93 ! [V_fun_2,V_vname_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = hAPP(hAPP(V_f2_2,V_vname_2),V_fun_2) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_com_Osimps_I66_J,axiom,
% 164.34/164.93 ! [V_com_2,V_fun_2,V_loc_2,V_f8_2,V_f7_2,V_f6_2,V_f5_2,V_f4_2,V_f3_2,V_f2_2,V_f1_2,T_b] : c_Com_Ocom_Ocom__case(T_b,V_f1_2,V_f2_2,V_f3_2,V_f4_2,V_f5_2,V_f6_2,V_f7_2,V_f8_2,c_Com_Ocom_OLocal(V_loc_2,V_fun_2,V_com_2)) = hAPP(hAPP(hAPP(V_f3_2,V_loc_2),V_fun_2),V_com_2) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_MGT__alternI,axiom,
% 164.34/164.93 ! [V_ca_2,V_Ga_2] :
% 164.34/164.93 ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 164.34/164.93 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_Com_Ostate),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies)),c_Natural_Oevalc(V_ca_2))))),c_fequal))),V_ca_2),c_fequal)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_triples__valid__Suc,axiom,
% 164.34/164.93 ! [V_n_2,V_ts_2,T_b] :
% 164.34/164.93 ( ! [B_x] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2))
% 164.34/164.93 => c_Hoare__Mirabelle_Otriple__valid(T_b,hAPP(c_Nat_OSuc,V_n_2),B_x) )
% 164.34/164.93 => ! [B_x] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(T_b)),B_x),V_ts_2))
% 164.34/164.93 => c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,B_x) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_MGT__alternD,axiom,
% 164.34/164.93 ! [V_ca_2,V_Ga_2] :
% 164.34/164.93 ( c_Hoare__Mirabelle_Ostate__not__singleton
% 164.34/164.93 => ( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_Com_Ostate),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies)),c_Natural_Oevalc(V_ca_2))))),c_fequal))),V_ca_2),c_fequal)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 164.34/164.93 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_Collect__conv__if,axiom,
% 164.34/164.93 ! [T_b,V_aa_2,V_Pa_2] :
% 164.34/164.93 ( ( hBOOL(hAPP(V_Pa_2,V_aa_2))
% 164.34/164.93 => 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_aa_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 164.34/164.93 & ( ~ hBOOL(hAPP(V_Pa_2,V_aa_2))
% 164.34/164.93 => 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_aa_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_Collect__conv__if2,axiom,
% 164.34/164.93 ! [T_b,V_aa_2,V_Pa_2] :
% 164.34/164.93 ( ( hBOOL(hAPP(V_Pa_2,V_aa_2))
% 164.34/164.93 => 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_aa_2))),V_Pa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) )
% 164.34/164.93 & ( ~ hBOOL(hAPP(V_Pa_2,V_aa_2))
% 164.34/164.93 => 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_aa_2))),V_Pa_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_singleton__conv,axiom,
% 164.34/164.93 ! [V_aa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_aa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_singleton__conv2,axiom,
% 164.34/164.93 ! [V_aa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(c_fequal,V_aa_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_image__constant__conv,axiom,
% 164.34/164.93 ! [V_ca_2,T_c,T_b,V_A_2] :
% 164.34/164.93 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.93 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 164.34/164.93 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.93 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_induct__false__def,axiom,
% 164.34/164.93 ~ c_HOL_Oinduct__false ).
% 164.34/164.93
% 164.34/164.93 fof(fact_subset__singletonD,axiom,
% 164.34/164.93 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.93 ( 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)))))
% 164.34/164.93 => ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.93 | V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_singletonE,axiom,
% 164.34/164.93 ! [V_aa_2,V_b_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 164.34/164.93 => V_b_2 = V_aa_2 ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_order__refl,axiom,
% 164.34/164.93 ! [V_x,T_a] :
% 164.34/164.93 ( class_Orderings_Opreorder(T_a)
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_x)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_equalityCE,axiom,
% 164.34/164.93 ! [V_ca_2,T_b,V_B_2,V_A_2] :
% 164.34/164.93 ( V_A_2 = V_B_2
% 164.34/164.93 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.93 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) )
% 164.34/164.93 => ~ ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_equalityI,axiom,
% 164.34/164.93 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.34/164.93 => V_A_2 = V_B_2 ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_emptyE,axiom,
% 164.34/164.93 ! [V_aa_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_insertE,axiom,
% 164.34/164.93 ! [V_A_2,V_b_2,V_aa_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 164.34/164.93 => ( V_aa_2 != V_b_2
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_insertCI,axiom,
% 164.34/164.93 ! [V_b_2,V_B_2,V_aa_2,T_b] :
% 164.34/164.93 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_B_2))
% 164.34/164.93 => V_aa_2 = V_b_2 )
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_subsetD,axiom,
% 164.34/164.93 ! [V_ca_2,V_B_2,V_A_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_image__eqI,axiom,
% 164.34/164.93 ! [T_b,V_A_2,T_c,V_x_2,V_f_2,V_b_2] :
% 164.34/164.93 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2))) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_empty__subsetI,axiom,
% 164.34/164.93 ! [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)) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_CollectI,axiom,
% 164.34/164.93 ! [T_b,V_aa_2,V_Pa_2] :
% 164.34/164.93 ( hBOOL(hAPP(V_Pa_2,V_aa_2))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(c_Set_OCollect(T_b),V_Pa_2))) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_subset__refl,axiom,
% 164.34/164.93 ! [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)) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_Collect__def,axiom,
% 164.34/164.93 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),V_Pa_2) = V_Pa_2 ).
% 164.34/164.93
% 164.34/164.93 fof(fact_Collect__mem__eq,axiom,
% 164.34/164.93 ! [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 ).
% 164.34/164.93
% 164.34/164.93 fof(fact_le__fun__def,axiom,
% 164.34/164.93 ! [V_g_2,V_f_2,T_b,T_c] :
% 164.34/164.93 ( class_Orderings_Oord(T_c)
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 164.34/164.93 <=> ! [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))) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_mem__def,axiom,
% 164.34/164.93 ! [V_A_2,V_x_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.93 <=> hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_linorder__linear,axiom,
% 164.34/164.93 ! [V_y,V_x,T_a] :
% 164.34/164.93 ( class_Orderings_Olinorder(T_a)
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.34/164.93 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_set__eq__subset,axiom,
% 164.34/164.93 ! [T_b,V_B_2,V_A_2] :
% 164.34/164.93 ( V_A_2 = V_B_2
% 164.34/164.93 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.93 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_order__eq__iff,axiom,
% 164.34/164.93 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.93 ( class_Orderings_Oorder(T_b)
% 164.34/164.93 => ( V_x_2 = V_y_2
% 164.34/164.93 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 164.34/164.93 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_mem__Collect__eq,axiom,
% 164.34/164.93 ! [V_Pa_2,V_aa_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 164.34/164.93 <=> hBOOL(hAPP(V_Pa_2,V_aa_2)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_subset__image__iff,axiom,
% 164.34/164.93 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 164.34/164.93 ( 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)))
% 164.34/164.93 <=> ? [B_AA] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),B_AA),V_A_2))
% 164.34/164.93 & V_B_2 = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),B_AA) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_image__iff,axiom,
% 164.34/164.93 ! [V_A_2,V_f_2,T_c,V_z_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 164.34/164.93 <=> ? [B_x] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 164.34/164.93 & V_z_2 = hAPP(V_f_2,B_x) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_equalityD1,axiom,
% 164.34/164.93 ! [T_b,V_B_2,V_A_2] :
% 164.34/164.93 ( V_A_2 = V_B_2
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_equalityD2,axiom,
% 164.34/164.93 ! [T_b,V_B_2,V_A_2] :
% 164.34/164.93 ( V_A_2 = V_B_2
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_order__eq__refl,axiom,
% 164.34/164.93 ! [V_y,V_x,T_a] :
% 164.34/164.93 ( class_Orderings_Opreorder(T_a)
% 164.34/164.93 => ( V_x = V_y
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_le__funD,axiom,
% 164.34/164.93 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 164.34/164.93 ( class_Orderings_Oord(T_c)
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 164.34/164.93 => 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))) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_imageI,axiom,
% 164.34/164.93 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.93 => 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))) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_eqset__imp__iff,axiom,
% 164.34/164.93 ! [V_x_2,T_b,V_B_2,V_A_2] :
% 164.34/164.93 ( V_A_2 = V_B_2
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.93 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_eqelem__imp__iff,axiom,
% 164.34/164.93 ! [V_A_2,T_b,V_y_2,V_x_2] :
% 164.34/164.93 ( V_x_2 = V_y_2
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.93 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_in__mono,axiom,
% 164.34/164.93 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_image__mono,axiom,
% 164.34/164.93 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.93 => 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))) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_order__antisym__conv,axiom,
% 164.34/164.93 ! [V_x_2,V_y_2,T_b] :
% 164.34/164.93 ( class_Orderings_Oorder(T_b)
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2))
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 164.34/164.93 <=> V_x_2 = V_y_2 ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_eq__mem__trans,axiom,
% 164.34/164.93 ! [V_A_2,T_b,V_b_2,V_aa_2] :
% 164.34/164.93 ( V_aa_2 = V_b_2
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_ord__eq__le__trans,axiom,
% 164.34/164.93 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.93 ( class_Orderings_Oord(T_a)
% 164.34/164.93 => ( V_a = V_b
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_xt1_I3_J,axiom,
% 164.34/164.93 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.93 ( class_Orderings_Oorder(T_a)
% 164.34/164.93 => ( V_a = V_b
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_b))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_set__rev__mp,axiom,
% 164.34/164.93 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_set__mp,axiom,
% 164.34/164.93 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_subset__trans,axiom,
% 164.34/164.93 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_ord__le__eq__trans,axiom,
% 164.34/164.93 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.93 ( class_Orderings_Oord(T_a)
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.34/164.93 => ( V_b = V_c
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c)) ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_xt1_I4_J,axiom,
% 164.34/164.93 ! [V_c,V_a,V_b,T_a] :
% 164.34/164.93 ( class_Orderings_Oorder(T_a)
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 164.34/164.93 => ( V_b = V_c
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_a)) ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_order__antisym,axiom,
% 164.34/164.93 ! [V_y,V_x,T_a] :
% 164.34/164.93 ( class_Orderings_Oorder(T_a)
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 164.34/164.93 => V_x = V_y ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_order__trans,axiom,
% 164.34/164.93 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.93 ( class_Orderings_Opreorder(T_a)
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z)) ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_xt1_I5_J,axiom,
% 164.34/164.93 ! [V_x,V_y,T_a] :
% 164.34/164.93 ( class_Orderings_Oorder(T_a)
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.34/164.93 => V_x = V_y ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_xt1_I6_J,axiom,
% 164.34/164.93 ! [V_z,V_x,V_y,T_a] :
% 164.34/164.93 ( class_Orderings_Oorder(T_a)
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x)) ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_rev__image__eqI,axiom,
% 164.34/164.93 ! [T_c,V_f_2,V_b_2,V_A_2,V_x_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.93 => ( V_b_2 = hAPP(V_f_2,V_x_2)
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2))) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_equalityE,axiom,
% 164.34/164.93 ! [T_b,V_B_2,V_A_2] :
% 164.34/164.93 ( V_A_2 = V_B_2
% 164.34/164.93 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.93 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_le__funE,axiom,
% 164.34/164.93 ! [V_x_2,V_g_2,V_f_2,T_b,T_c] :
% 164.34/164.93 ( class_Orderings_Oord(T_c)
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 164.34/164.93 => 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))) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_CollectD,axiom,
% 164.34/164.93 ! [V_Pa_2,V_aa_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 164.34/164.93 => hBOOL(hAPP(V_Pa_2,V_aa_2)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_CollectE,axiom,
% 164.34/164.93 ! [V_Pa_2,V_aa_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 164.34/164.93 => hBOOL(hAPP(V_Pa_2,V_aa_2)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_linorder__le__cases,axiom,
% 164.34/164.93 ! [V_y,V_x,T_a] :
% 164.34/164.93 ( class_Orderings_Olinorder(T_a)
% 164.34/164.93 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_insert__image,axiom,
% 164.34/164.93 ! [V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.93 => 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) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_image__ident,axiom,
% 164.34/164.93 ! [V_Ya_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_COMBI(T_b)),V_Ya_2) = V_Ya_2 ).
% 164.34/164.93
% 164.34/164.93 fof(fact_image__image,axiom,
% 164.34/164.93 ! [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) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_subset__insert,axiom,
% 164.34/164.93 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 164.34/164.93 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.93 => ( 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)))
% 164.34/164.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_insert__subset,axiom,
% 164.34/164.93 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 164.34/164.93 ( 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))
% 164.34/164.93 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 164.34/164.93 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_insert__compr,axiom,
% 164.34/164.93 ! [V_B_2,V_aa_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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_aa_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_insert__compr__raw,axiom,
% 164.34/164.93 ! [V_B_2,V_aa_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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_aa_2))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_empty__is__image,axiom,
% 164.34/164.93 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.93 ( 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)
% 164.34/164.93 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_image__empty,axiom,
% 164.34/164.93 ! [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)) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_image__is__empty,axiom,
% 164.34/164.93 ! [V_A_2,V_f_2,T_b,T_c] :
% 164.34/164.93 ( 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))
% 164.34/164.93 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_image__insert,axiom,
% 164.34/164.93 ! [V_B_2,V_aa_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_aa_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),hAPP(V_f_2,V_aa_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_B_2)) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_empty__Collect__eq,axiom,
% 164.34/164.93 ! [V_Pa_2,T_b] :
% 164.34/164.93 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_Set_OCollect(T_b),V_Pa_2)
% 164.34/164.93 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_Collect__empty__eq,axiom,
% 164.34/164.93 ! [V_Pa_2,T_b] :
% 164.34/164.93 ( hAPP(c_Set_OCollect(T_b),V_Pa_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.93 <=> ! [B_x] : ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_image__compose,axiom,
% 164.34/164.93 ! [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)) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_image__constant,axiom,
% 164.34/164.93 ! [V_ca_2,T_c,V_A_2,V_x_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.93 => hAPP(c_Set_Oimage(T_b,T_c,hAPP(c_COMBK(T_c,T_b),V_ca_2)),V_A_2) = hAPP(hAPP(c_Set_Oinsert(T_c),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_bot__least,axiom,
% 164.34/164.93 ! [V_x,T_a] :
% 164.34/164.93 ( class_Orderings_Obot(T_a)
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_all__not__in__conv,axiom,
% 164.34/164.93 ! [V_A_2,T_b] :
% 164.34/164.93 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.93 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_ex__in__conv,axiom,
% 164.34/164.93 ! [V_A_2,T_b] :
% 164.34/164.93 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.93 <=> V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_empty__iff,axiom,
% 164.34/164.93 ! [V_ca_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_equals0D,axiom,
% 164.34/164.93 ! [V_aa_2,T_b,V_A_2] :
% 164.34/164.93 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.93 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_subset__empty,axiom,
% 164.34/164.93 ! [V_A_2,T_b] :
% 164.34/164.93 ( 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))))
% 164.34/164.93 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_insertI1,axiom,
% 164.34/164.93 ! [V_B_2,V_aa_2,T_b] : hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_B_2))) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_insert__iff,axiom,
% 164.34/164.93 ! [V_A_2,V_b_2,V_aa_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_A_2)))
% 164.34/164.93 <=> ( V_aa_2 = V_b_2
% 164.34/164.93 | hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_insert__ident,axiom,
% 164.34/164.93 ! [V_B_2,V_A_2,V_x_2,T_b] :
% 164.34/164.93 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.93 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 164.34/164.93 => ( 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)
% 164.34/164.93 <=> V_A_2 = V_B_2 ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_insertI2,axiom,
% 164.34/164.93 ! [V_b_2,V_B_2,V_aa_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_B_2))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_b_2),V_B_2))) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_insert__absorb,axiom,
% 164.34/164.93 ! [V_A_2,V_aa_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.93 => hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2) = V_A_2 ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_subset__insertI,axiom,
% 164.34/164.93 ! [V_aa_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_aa_2),V_B_2))) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_subset__insertI2,axiom,
% 164.34/164.93 ! [V_b_2,V_B_2,V_A_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.93 => 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))) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_insert__mono,axiom,
% 164.34/164.93 ! [V_aa_2,V_D_2,V_C_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_D_2))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_C_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_D_2))) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_evaln__Suc,axiom,
% 164.34/164.93 ! [V_s_H,V_n,V_s,V_c] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_s_H))
% 164.34/164.93 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),hAPP(c_Nat_OSuc,V_n)),V_s_H)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_asm,axiom,
% 164.34/164.93 ! [V_Ga_2,V_ts_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_Ga_2))
% 164.34/164.93 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_weaken,axiom,
% 164.34/164.93 ! [V_ts_2,V_ts_H_2,V_Ga_2,T_b] :
% 164.34/164.93 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_H_2)
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Hoare__Mirabelle_Otriple(T_b),tc_HOL_Obool)),V_ts_2),V_ts_H_2))
% 164.34/164.93 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_thin,axiom,
% 164.34/164.93 ! [V_Ga_2,V_ts_2,V_G_H_2,T_b] :
% 164.34/164.93 ( c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_G_H_2,V_ts_2)
% 164.34/164.93 => ( 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))
% 164.34/164.93 => c_Hoare__Mirabelle_Ohoare__derivs(T_b,V_Ga_2,V_ts_2) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_empty__def,axiom,
% 164.34/164.93 ! [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)) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_insert__Collect,axiom,
% 164.34/164.93 ! [V_Pa_2,V_aa_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),hAPP(c_Set_OCollect(T_b),V_Pa_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_aa_2)))),V_Pa_2)) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_triple__valid__Suc,axiom,
% 164.34/164.93 ! [V_t,V_n,T_a] :
% 164.34/164.93 ( c_Hoare__Mirabelle_Otriple__valid(T_a,hAPP(c_Nat_OSuc,V_n),V_t)
% 164.34/164.93 => c_Hoare__Mirabelle_Otriple__valid(T_a,V_n,V_t) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_triple__valid__def,axiom,
% 164.34/164.93 ! [V_t_2,V_n_2,T_b] :
% 164.34/164.93 ( c_Hoare__Mirabelle_Otriple__valid(T_b,V_n_2,V_t_2)
% 164.34/164.93 <=> hBOOL(c_Hoare__Mirabelle_Otriple_Otriple__case(T_b,tc_HOL_Obool,hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_HOL_Obool),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_HOL_OAll(T_b)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))))),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_COMBS(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_HOL_Obool,tc_Com_Ostate),c_HOL_OAll(tc_Com_Ostate))))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)))),tc_Com_Ocom),c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(tc_Com_Ostate,tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Com_Ostate),c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_Com_Ocom),hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_Com_Ostate),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fimplies))),hAPP(hAPP(c_COMBC(tc_Com_Ocom,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_fun(tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),tc_Com_Ocom),c_COMBC(tc_Com_Ostate,tc_Nat_Onat,tc_fun(tc_Com_Ostate,tc_HOL_Obool))),c_Natural_Oevaln)),V_n_2))))))))),V_t_2)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_override__on__apply__notin,axiom,
% 164.34/164.93 ! [V_g_2,V_f_2,T_c,V_A_2,V_aa_2,T_b] :
% 164.34/164.93 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.93 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_aa_2) = hAPP(V_f_2,V_aa_2) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_override__on__apply__in,axiom,
% 164.34/164.93 ! [V_g_2,V_f_2,T_c,V_A_2,V_aa_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.93 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_aa_2) = hAPP(V_g_2,V_aa_2) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_override__on__def,axiom,
% 164.34/164.93 ! [V_g_2,V_f_2,T_c,V_A_2,V_aa_2,T_b] :
% 164.34/164.93 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.93 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_aa_2) = hAPP(V_g_2,V_aa_2) )
% 164.34/164.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.93 => hAPP(c_Fun_Ooverride__on(T_b,T_c,V_f_2,V_g_2,V_A_2),V_aa_2) = hAPP(V_f_2,V_aa_2) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_singleton__iff,axiom,
% 164.34/164.93 ! [V_aa_2,V_b_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))
% 164.34/164.93 <=> V_b_2 = V_aa_2 ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_pred__subset__eq,axiom,
% 164.34/164.93 ! [V_S_2,V_R_2,T_b] :
% 164.34/164.93 ( 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)))
% 164.34/164.93 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_R_2),V_S_2)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_bot__empty__eq,axiom,
% 164.34/164.93 ! [V_x_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)),V_x_2))
% 164.34/164.93 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_hoare__complete,axiom,
% 164.34/164.93 ! [V_Qa_2,V_Pa_2,V_ca_2] :
% 164.34/164.93 ( c_Hoare__Mirabelle_Ostate__not__singleton
% 164.34/164.93 => ( c_Com_OWT__bodies
% 164.34/164.93 => ( hBOOL(hAPP(c_Com_OWT,V_ca_2))
% 164.34/164.93 => ( c_Hoare__Mirabelle_Ohoare__valids(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_Pa_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
% 164.34/164.93 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),V_Pa_2),V_ca_2),V_Qa_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_order__fun_I1_J,axiom,
% 164.34/164.93 ! [V_g_2,V_f_2,T_b,T_c] :
% 164.34/164.93 ( ( class_Orderings_Oorder(T_c)
% 164.34/164.93 & class_Enum_Oenum(T_b) )
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 164.34/164.93 <=> 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))) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_MGF,axiom,
% 164.34/164.93 ! [V_ca_2] :
% 164.34/164.93 ( c_Hoare__Mirabelle_Ostate__not__singleton
% 164.34/164.93 => ( c_Com_OWT__bodies
% 164.34/164.93 => ( hBOOL(hAPP(c_Com_OWT,V_ca_2))
% 164.34/164.93 => c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(V_ca_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_pred__equals__eq,axiom,
% 164.34/164.93 ! [V_S_2,V_R_2,T_b] :
% 164.34/164.93 ( 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)
% 164.34/164.93 <=> V_R_2 = V_S_2 ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_the__inv__into__def,axiom,
% 164.34/164.93 ! [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))) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_subset__insert__iff,axiom,
% 164.34/164.93 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 164.34/164.93 ( 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)))
% 164.34/164.93 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.93 => 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)) )
% 164.34/164.93 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_diff__single__insert,axiom,
% 164.34/164.93 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 164.34/164.93 ( 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))
% 164.34/164.93 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.93 => 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))) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_imageE,axiom,
% 164.34/164.93 ! [V_A_2,V_f_2,T_c,V_b_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 164.34/164.93 => ~ ! [B_x] :
% 164.34/164.93 ( V_b_2 = hAPP(V_f_2,B_x)
% 164.34/164.93 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_DiffE,axiom,
% 164.34/164.93 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 164.34/164.93 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_DiffI,axiom,
% 164.34/164.93 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 164.34/164.93 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.93 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2))
% 164.34/164.93 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_WTs__elim__cases_I6_J,axiom,
% 164.34/164.93 ! [V_ca_2,V_b_2] :
% 164.34/164.93 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_b_2,V_ca_2)))
% 164.34/164.93 => hBOOL(hAPP(c_Com_OWT,V_ca_2)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_WTs__elim__cases_I5_J,axiom,
% 164.34/164.93 ! [V_c2_2,V_c1_2,V_b_2] :
% 164.34/164.93 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_b_2,V_c1_2,V_c2_2)))
% 164.34/164.93 => ~ ( hBOOL(hAPP(c_Com_OWT,V_c1_2))
% 164.34/164.93 => ~ hBOOL(hAPP(c_Com_OWT,V_c2_2)) ) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_WTs__elim__cases_I3_J,axiom,
% 164.34/164.93 ! [V_ca_2,V_aa_2,V_Ya_2] :
% 164.34/164.93 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_Ya_2,V_aa_2,V_ca_2)))
% 164.34/164.93 => hBOOL(hAPP(c_Com_OWT,V_ca_2)) ) ).
% 164.34/164.93
% 164.34/164.93 fof(fact_WTs__elim__cases_I4_J,axiom,
% 164.34/164.94 ! [V_c2,V_c1] :
% 164.34/164.94 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_c1,V_c2)))
% 164.34/164.94 => ~ ( hBOOL(hAPP(c_Com_OWT,V_c1))
% 164.34/164.94 => ~ hBOOL(hAPP(c_Com_OWT,V_c2)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Diff__idemp,axiom,
% 164.34/164.94 ! [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) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_enum__all,axiom,
% 164.34/164.94 ! [V_Pa_2,T_b] :
% 164.34/164.94 ( class_Enum_Oenum(T_b)
% 164.34/164.94 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2))
% 164.34/164.94 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_all__code,axiom,
% 164.34/164.94 ! [V_Pa_2,T_b] :
% 164.34/164.94 ( class_Enum_Oenum(T_b)
% 164.34/164.94 => ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 164.34/164.94 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(T_b),V_Pa_2)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_DiffD2,axiom,
% 164.34/164.94 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 164.34/164.94 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_DiffD1,axiom,
% 164.34/164.94 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Diff__iff,axiom,
% 164.34/164.94 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 164.34/164.94 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.94 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Diff__cancel,axiom,
% 164.34/164.94 ! [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)) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Diff__empty,axiom,
% 164.34/164.94 ! [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 ).
% 164.34/164.94
% 164.34/164.94 fof(fact_empty__Diff,axiom,
% 164.34/164.94 ! [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)) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_double__diff,axiom,
% 164.34/164.94 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 164.34/164.94 => 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 ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Diff__mono,axiom,
% 164.34/164.94 ! [V_B_2,V_D_2,V_C_2,V_A_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_D_2),V_B_2))
% 164.34/164.94 => 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))) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Diff__subset,axiom,
% 164.34/164.94 ! [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)) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_evaln__nonstrict,axiom,
% 164.34/164.94 ! [V_m,V_t,V_n,V_s,V_c] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_n),V_t))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 164.34/164.94 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Natural_Oevaln,V_c),V_s),V_m),V_t)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_WT_Oequations_I6_J,axiom,
% 164.34/164.94 ! [V_a1_2,V_a2_2] :
% 164.34/164.94 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_a2_2,V_a1_2)))
% 164.34/164.94 <=> hBOOL(hAPP(c_Com_OWT,V_a1_2)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_While,axiom,
% 164.34/164.94 ! [V_b_2,V_ca_2] :
% 164.34/164.94 ( hBOOL(hAPP(c_Com_OWT,V_ca_2))
% 164.34/164.94 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OWhile(V_b_2,V_ca_2))) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_WT_OIf,axiom,
% 164.34/164.94 ! [V_b_2,V_c1_2,V_c0_2] :
% 164.34/164.94 ( hBOOL(hAPP(c_Com_OWT,V_c0_2))
% 164.34/164.94 => ( hBOOL(hAPP(c_Com_OWT,V_c1_2))
% 164.34/164.94 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_b_2,V_c0_2,V_c1_2))) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_WT_Oequations_I5_J,axiom,
% 164.34/164.94 ! [V_a2_2,V_a1_2,V_a3_2] :
% 164.34/164.94 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OCond(V_a3_2,V_a1_2,V_a2_2)))
% 164.34/164.94 <=> ( hBOOL(hAPP(c_Com_OWT,V_a1_2))
% 164.34/164.94 & hBOOL(hAPP(c_Com_OWT,V_a2_2)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_WT_OAssign,axiom,
% 164.34/164.94 ! [V_aa_2,V_X_2] : hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OAss(V_X_2,V_aa_2))) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_WT_Oequations_I2_J,axiom,
% 164.34/164.94 ! [V_a2_2,V_a1_2] : hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OAss(V_a1_2,V_a2_2))) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_WT_OLocal,axiom,
% 164.34/164.94 ! [V_aa_2,V_Ya_2,V_ca_2] :
% 164.34/164.94 ( hBOOL(hAPP(c_Com_OWT,V_ca_2))
% 164.34/164.94 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_Ya_2,V_aa_2,V_ca_2))) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_WT_Oequations_I3_J,axiom,
% 164.34/164.94 ! [V_a1_2,V_a3_2,V_a2_2] :
% 164.34/164.94 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OLocal(V_a2_2,V_a3_2,V_a1_2)))
% 164.34/164.94 <=> hBOOL(hAPP(c_Com_OWT,V_a1_2)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_WT_OSkip,axiom,
% 164.34/164.94 hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_WT_Oequations_I1_J,axiom,
% 164.34/164.94 hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSKIP)) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_WT_Oequations_I4_J,axiom,
% 164.34/164.94 ! [V_a2_2,V_a1_2] :
% 164.34/164.94 ( hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_a1_2,V_a2_2)))
% 164.34/164.94 <=> ( hBOOL(hAPP(c_Com_OWT,V_a1_2))
% 164.34/164.94 & hBOOL(hAPP(c_Com_OWT,V_a2_2)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_WT_OSemi,axiom,
% 164.34/164.94 ! [V_c1,V_c0] :
% 164.34/164.94 ( hBOOL(hAPP(c_Com_OWT,V_c0))
% 164.34/164.94 => ( hBOOL(hAPP(c_Com_OWT,V_c1))
% 164.34/164.94 => hBOOL(hAPP(c_Com_OWT,c_Com_Ocom_OSemi(V_c0,V_c1))) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_insert__Diff__if,axiom,
% 164.34/164.94 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 164.34/164.94 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 164.34/164.94 => 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) )
% 164.34/164.94 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 164.34/164.94 => 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)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_insert__Diff1,axiom,
% 164.34/164.94 ! [V_A_2,V_B_2,V_x_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 164.34/164.94 => 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) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_insert__Diff__single,axiom,
% 164.34/164.94 ! [V_A_2,V_aa_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Diff__insert2,axiom,
% 164.34/164.94 ! [V_B_2,V_aa_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_aa_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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_B_2) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Diff__insert,axiom,
% 164.34/164.94 ! [V_B_2,V_aa_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_aa_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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_image__diff__subset,axiom,
% 164.34/164.94 ! [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)))) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_set__diff__eq,axiom,
% 164.34/164.94 ! [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)))) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_insert__Diff,axiom,
% 164.34/164.94 ! [V_A_2,V_aa_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.94 => hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = V_A_2 ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Diff__insert__absorb,axiom,
% 164.34/164.94 ! [V_A_2,V_x_2,T_b] :
% 164.34/164.94 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.94 => 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 ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_eq__mem,axiom,
% 164.34/164.94 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_fequal,V_y_2)))
% 164.34/164.94 <=> V_x_2 = V_y_2 ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_rev__predicate1D,axiom,
% 164.34/164.94 ! [V_Qa_2,T_b,V_x_2,V_Pa_2] :
% 164.34/164.94 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 164.34/164.94 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_predicate1D,axiom,
% 164.34/164.94 ! [V_x_2,V_Qa_2,V_Pa_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_Pa_2),V_Qa_2))
% 164.34/164.94 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.34/164.94 => hBOOL(hAPP(V_Qa_2,V_x_2)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_fun__diff__def,axiom,
% 164.34/164.94 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 164.34/164.94 ( class_Groups_Ominus(T_b)
% 164.34/164.94 => 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)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_flat__lub__def,axiom,
% 164.34/164.94 ! [V_b_2,V_A_2,T_b] :
% 164.34/164.94 ( ( 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)))))
% 164.34/164.94 => c_Partial__Function_Oflat__lub(T_b,V_b_2,V_A_2) = V_b_2 )
% 164.34/164.94 & ( ~ 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)))))
% 164.34/164.94 => 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)))))) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_minus__apply,axiom,
% 164.34/164.94 ! [V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 164.34/164.94 ( class_Groups_Ominus(T_b)
% 164.34/164.94 => 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)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_diff__eq__diff__less__eq,axiom,
% 164.34/164.94 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.34/164.94 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/164.94 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_aa_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ca_2),V_d_2)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),V_b_2))
% 164.34/164.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_d_2)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_fun__upd__image,axiom,
% 164.34/164.94 ! [V_y_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 164.34/164.94 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.94 => 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)))))) )
% 164.34/164.94 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.94 => 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) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_psubset__insert__iff,axiom,
% 164.34/164.94 ! [V_B_2,V_x_2,V_A_2,T_b] :
% 164.34/164.94 ( 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)))
% 164.34/164.94 <=> ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 164.34/164.94 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_B_2))
% 164.34/164.94 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.94 => 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)) )
% 164.34/164.94 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_fold__graph_H_Ointros_I2_J,axiom,
% 164.34/164.94 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.94 => ( 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)
% 164.34/164.94 => 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)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inj__on__insert,axiom,
% 164.34/164.94 ! [V_A_2,V_aa_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2))
% 164.34/164.94 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.94 & ~ hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_aa_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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Powp__def,axiom,
% 164.34/164.94 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(c_Predicate_OPowp(T_b,V_A_2),V_B_2))
% 164.34/164.94 <=> ! [B_x] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 164.34/164.94 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_the__inv__into__comp,axiom,
% 164.34/164.94 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 164.34/164.94 ( 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))
% 164.34/164.94 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 164.34/164.94 => ( 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))))
% 164.34/164.94 => 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) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_the__inv__into__into,axiom,
% 164.34/164.94 ! [V_B_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.94 => 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)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_fun__upd__triv,axiom,
% 164.34/164.94 ! [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 ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inj__on__empty,axiom,
% 164.34/164.94 ! [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))) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inj__on__strict__subset,axiom,
% 164.34/164.94 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.94 => 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))) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__less__irrefl,axiom,
% 164.34/164.94 ! [V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Opreorder(T_a)
% 164.34/164.94 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_x)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_linorder__neq__iff,axiom,
% 164.34/164.94 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.94 ( class_Orderings_Olinorder(T_b)
% 164.34/164.94 => ( V_x_2 != V_y_2
% 164.34/164.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 164.34/164.94 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_not__less__iff__gr__or__eq,axiom,
% 164.34/164.94 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.94 ( class_Orderings_Olinorder(T_b)
% 164.34/164.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 164.34/164.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 164.34/164.94 | V_x_2 = V_y_2 ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_linorder__less__linear,axiom,
% 164.34/164.94 ! [V_y,V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Olinorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 164.34/164.94 | V_x = V_y
% 164.34/164.94 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_linorder__antisym__conv3,axiom,
% 164.34/164.94 ! [V_x_2,V_y_2,T_b] :
% 164.34/164.94 ( class_Orderings_Olinorder(T_b)
% 164.34/164.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2))
% 164.34/164.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 164.34/164.94 <=> V_x_2 = V_y_2 ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_linorder__neqE,axiom,
% 164.34/164.94 ! [V_y,V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Olinorder(T_a)
% 164.34/164.94 => ( V_x != V_y
% 164.34/164.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_less__imp__neq,axiom,
% 164.34/164.94 ! [V_y,V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Oorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 164.34/164.94 => V_x != V_y ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__less__not__sym,axiom,
% 164.34/164.94 ! [V_y,V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Opreorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 164.34/164.94 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__less__imp__not__less,axiom,
% 164.34/164.94 ! [V_y,V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Opreorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 164.34/164.94 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__less__imp__not__eq,axiom,
% 164.34/164.94 ! [V_y,V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Oorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 164.34/164.94 => V_x != V_y ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__less__imp__not__eq2,axiom,
% 164.34/164.94 ! [V_y,V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Oorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 164.34/164.94 => V_y != V_x ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__less__asym_H,axiom,
% 164.34/164.94 ! [V_b,V_a,T_a] :
% 164.34/164.94 ( class_Orderings_Opreorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.34/164.94 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_xt1_I9_J,axiom,
% 164.34/164.94 ! [V_a,V_b,T_a] :
% 164.34/164.94 ( class_Orderings_Oorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 164.34/164.94 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_ord__eq__less__trans,axiom,
% 164.34/164.94 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.94 ( class_Orderings_Oord(T_a)
% 164.34/164.94 => ( V_a = V_b
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_xt1_I1_J,axiom,
% 164.34/164.94 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.94 ( class_Orderings_Oorder(T_a)
% 164.34/164.94 => ( V_a = V_b
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_b))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_psubset__trans,axiom,
% 164.34/164.94 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_ord__less__eq__trans,axiom,
% 164.34/164.94 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.94 ( class_Orderings_Oord(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.34/164.94 => ( V_b = V_c
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_c)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_xt1_I2_J,axiom,
% 164.34/164.94 ! [V_c,V_a,V_b,T_a] :
% 164.34/164.94 ( class_Orderings_Oorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 164.34/164.94 => ( V_b = V_c
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_a)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__less__trans,axiom,
% 164.34/164.94 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Opreorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_xt1_I10_J,axiom,
% 164.34/164.94 ! [V_z,V_x,V_y,T_a] :
% 164.34/164.94 ( class_Orderings_Oorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__less__asym,axiom,
% 164.34/164.94 ! [V_y,V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Opreorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 164.34/164.94 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_linorder__cases,axiom,
% 164.34/164.94 ! [V_y,V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Olinorder(T_a)
% 164.34/164.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 164.34/164.94 => ( V_x != V_y
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inj__on__def,axiom,
% 164.34/164.94 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.94 <=> ! [B_x] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.94 => ! [B_xa] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 164.34/164.94 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_xa)
% 164.34/164.94 => B_x = B_xa ) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_fun__upd__idem__iff,axiom,
% 164.34/164.94 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2) = V_f_2
% 164.34/164.94 <=> hAPP(V_f_2,V_x_2) = V_y_2 ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_fun__upd__upd,axiom,
% 164.34/164.94 ! [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) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_fun__upd__same,axiom,
% 164.34/164.94 ! [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 ).
% 164.34/164.94
% 164.34/164.94 fof(fact_fun__upd__apply,axiom,
% 164.34/164.94 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 164.34/164.94 ( ( V_z_2 = V_x_2
% 164.34/164.94 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_x_2,V_y_2),V_z_2) = V_y_2 )
% 164.34/164.94 & ( V_z_2 != V_x_2
% 164.34/164.94 => 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) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_fun__upd__twist,axiom,
% 164.34/164.94 ! [V_d_2,V_b_2,V_m_2,T_c,T_b,V_ca_2,V_aa_2] :
% 164.34/164.94 ( V_aa_2 != V_ca_2
% 164.34/164.94 => c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_aa_2,V_b_2),V_ca_2,V_d_2) = c_Fun_Ofun__upd(T_b,T_c,c_Fun_Ofun__upd(T_b,T_c,V_m_2,V_ca_2,V_d_2),V_aa_2,V_b_2) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_fun__upd__other,axiom,
% 164.34/164.94 ! [V_y_2,V_f_2,T_c,T_b,V_x_2,V_z_2] :
% 164.34/164.94 ( V_z_2 != V_x_2
% 164.34/164.94 => 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) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_fun__upd__idem,axiom,
% 164.34/164.94 ! [T_b,T_c,V_y_2,V_x_2,V_f_2] :
% 164.34/164.94 ( hAPP(V_f_2,V_x_2) = V_y_2
% 164.34/164.94 => c_Fun_Ofun__upd(T_c,T_b,V_f_2,V_x_2,V_y_2) = V_f_2 ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inj__on__id2,axiom,
% 164.34/164.94 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_COMBI(T_b),V_A_2) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_diff__eq__diff__less,axiom,
% 164.34/164.94 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.34/164.94 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/164.94 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_aa_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ca_2),V_d_2)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),V_b_2))
% 164.34/164.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_fun__upd__def,axiom,
% 164.34/164.94 ! [V_b_2,V_f_2,T_c,T_b,V_aa_2,V_x_2] :
% 164.34/164.94 ( ( V_x_2 = V_aa_2
% 164.34/164.94 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_aa_2,V_b_2),V_x_2) = V_b_2 )
% 164.34/164.94 & ( V_x_2 != V_aa_2
% 164.34/164.94 => hAPP(c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_aa_2,V_b_2),V_x_2) = hAPP(V_f_2,V_x_2) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inj__on__contraD,axiom,
% 164.34/164.94 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.94 => ( V_x_2 != V_y_2
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 164.34/164.94 => hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2) ) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inj__on__iff,axiom,
% 164.34/164.94 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 164.34/164.94 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 164.34/164.94 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inj__onD,axiom,
% 164.34/164.94 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.94 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 164.34/164.94 => V_x_2 = V_y_2 ) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_subset__inj__on,axiom,
% 164.34/164.94 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.94 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inj__on__fun__updI,axiom,
% 164.34/164.94 ! [V_x_2,V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.94 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 164.34/164.94 => 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) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inj__on__imageI2,axiom,
% 164.34/164.94 ! [V_A_2,V_f_2,V_f_H_2,T_d,T_c,T_b] :
% 164.34/164.94 ( 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)
% 164.34/164.94 => c_Fun_Oinj__on(T_b,T_d,V_f_2,V_A_2) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inj__on__diff,axiom,
% 164.34/164.94 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.94 => 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)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_fold__graph_H_Oequations_I1_J,axiom,
% 164.34/164.94 ! [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) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_fold__graph_H_Ointros_I1_J,axiom,
% 164.34/164.94 ! [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) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_less__fun__def,axiom,
% 164.34/164.94 ! [V_g_2,V_f_2,T_b,T_c] :
% 164.34/164.94 ( class_Orderings_Oord(T_c)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 164.34/164.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 164.34/164.94 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_g_2),V_f_2)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_linorder__not__less,axiom,
% 164.34/164.94 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.94 ( class_Orderings_Olinorder(T_b)
% 164.34/164.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 164.34/164.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_linorder__not__le,axiom,
% 164.34/164.94 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.94 ( class_Orderings_Olinorder(T_b)
% 164.34/164.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 164.34/164.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_x_2)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_linorder__le__less__linear,axiom,
% 164.34/164.94 ! [V_y,V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Olinorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.34/164.94 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__less__le,axiom,
% 164.34/164.94 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.94 ( class_Orderings_Oorder(T_b)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 164.34/164.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 164.34/164.94 & V_x_2 != V_y_2 ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_less__le__not__le,axiom,
% 164.34/164.94 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.94 ( class_Orderings_Opreorder(T_b)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 164.34/164.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 164.34/164.94 & ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__le__less,axiom,
% 164.34/164.94 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.94 ( class_Orderings_Oorder(T_b)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 164.34/164.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 164.34/164.94 | V_x_2 = V_y_2 ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_leI,axiom,
% 164.34/164.94 ! [V_y,V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Olinorder(T_a)
% 164.34/164.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_not__leE,axiom,
% 164.34/164.94 ! [V_x,V_y,T_a] :
% 164.34/164.94 ( class_Orderings_Olinorder(T_a)
% 164.34/164.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_linorder__antisym__conv1,axiom,
% 164.34/164.94 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.94 ( class_Orderings_Olinorder(T_b)
% 164.34/164.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 164.34/164.94 <=> V_x_2 = V_y_2 ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__neq__le__trans,axiom,
% 164.34/164.94 ! [V_b,V_a,T_a] :
% 164.34/164.94 ( class_Orderings_Oorder(T_a)
% 164.34/164.94 => ( V_a != V_b
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_xt1_I12_J,axiom,
% 164.34/164.94 ! [V_b,V_a,T_a] :
% 164.34/164.94 ( class_Orderings_Oorder(T_a)
% 164.34/164.94 => ( V_a != V_b
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_leD,axiom,
% 164.34/164.94 ! [V_x,V_y,T_a] :
% 164.34/164.94 ( class_Orderings_Olinorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 164.34/164.94 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__less__imp__le,axiom,
% 164.34/164.94 ! [V_y,V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Opreorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_linorder__antisym__conv2,axiom,
% 164.34/164.94 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.94 ( class_Orderings_Olinorder(T_b)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 164.34/164.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_y_2))
% 164.34/164.94 <=> V_x_2 = V_y_2 ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__le__imp__less__or__eq,axiom,
% 164.34/164.94 ! [V_y,V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Oorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 164.34/164.94 | V_x = V_y ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__le__neq__trans,axiom,
% 164.34/164.94 ! [V_b,V_a,T_a] :
% 164.34/164.94 ( class_Orderings_Oorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.34/164.94 => ( V_a != V_b
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_xt1_I11_J,axiom,
% 164.34/164.94 ! [V_a,V_b,T_a] :
% 164.34/164.94 ( class_Orderings_Oorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 164.34/164.94 => ( V_a != V_b
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__less__le__trans,axiom,
% 164.34/164.94 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Opreorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_z))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_xt1_I7_J,axiom,
% 164.34/164.94 ! [V_z,V_x,V_y,T_a] :
% 164.34/164.94 ( class_Orderings_Oorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_y))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__le__less__trans,axiom,
% 164.34/164.94 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.94 ( class_Orderings_Opreorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_z))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_z)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_xt1_I8_J,axiom,
% 164.34/164.94 ! [V_z,V_x,V_y,T_a] :
% 164.34/164.94 ( class_Orderings_Oorder(T_a)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_y))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_z),V_x)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_psubsetD,axiom,
% 164.34/164.94 ! [V_ca_2,V_B_2,V_A_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_not__psubset__empty,axiom,
% 164.34/164.94 ! [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)))) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_psubset__eq,axiom,
% 164.34/164.94 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.94 & V_A_2 != V_B_2 ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_subset__iff__psubset__eq,axiom,
% 164.34/164.94 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.94 | V_A_2 = V_B_2 ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_psubset__imp__subset,axiom,
% 164.34/164.94 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_psubset__subset__trans,axiom,
% 164.34/164.94 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_subset__psubset__trans,axiom,
% 164.34/164.94 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_fun__upd__comp,axiom,
% 164.34/164.94 ! [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)) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_comp__inj__on__iff,axiom,
% 164.34/164.94 ! [V_f_H_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.94 => ( 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))
% 164.34/164.94 <=> 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) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_comp__inj__on,axiom,
% 164.34/164.94 ! [V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.94 => ( 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))
% 164.34/164.94 => 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) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inj__on__imageI,axiom,
% 164.34/164.94 ! [V_A_2,V_f_2,V_g_2,T_d,T_c,T_b] :
% 164.34/164.94 ( 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)
% 164.34/164.94 => 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)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_the__inv__into__f__f,axiom,
% 164.34/164.94 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.94 => 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 ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_the__inv__into__f__eq,axiom,
% 164.34/164.94 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.94 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.94 => hAPP(c_Fun_Othe__inv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inj__on__the__inv__into,axiom,
% 164.34/164.94 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.94 => 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)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_the__inv__into__onto,axiom,
% 164.34/164.94 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.94 => 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 ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inj__on__image__set__diff,axiom,
% 164.34/164.94 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 164.34/164.94 => 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)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_f__the__inv__into__f,axiom,
% 164.34/164.94 ! [V_y_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 164.34/164.94 => 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 ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_diff__eq__diff__eq,axiom,
% 164.34/164.94 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.34/164.94 ( class_Groups_Oab__group__add(T_b)
% 164.34/164.94 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_aa_2),V_b_2) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_ca_2),V_d_2)
% 164.34/164.94 => ( V_aa_2 = V_b_2
% 164.34/164.94 <=> V_ca_2 = V_d_2 ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Powp__mono,axiom,
% 164.34/164.94 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.94 => 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))) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inj__on__iff__surj,axiom,
% 164.34/164.94 ! [V_A_H_2,T_c,T_b,V_A_2] :
% 164.34/164.94 ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.94 => ( ? [B_f] :
% 164.34/164.94 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 164.34/164.94 & 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)) )
% 164.34/164.94 <=> ? [B_g] : hAPP(c_Set_Oimage(T_c,T_b,B_g),V_A_H_2) = V_A_2 ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Suc__diff__le,axiom,
% 164.34/164.94 ! [V_m,V_n] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 164.34/164.94 => 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)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Suc__leD,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_le__SucE,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 164.34/164.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 164.34/164.94 => V_m = hAPP(c_Nat_OSuc,V_n) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_le__SucI,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Suc__le__mono,axiom,
% 164.34/164.94 ! [V_m_2,V_n_2] :
% 164.34/164.94 ( 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)))
% 164.34/164.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_le__Suc__eq,axiom,
% 164.34/164.94 ! [V_n_2,V_m_2] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 164.34/164.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/164.94 | V_m_2 = hAPP(c_Nat_OSuc,V_n_2) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_not__less__eq__eq,axiom,
% 164.34/164.94 ! [V_n_2,V_m_2] :
% 164.34/164.94 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/164.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Suc__n__not__le__n,axiom,
% 164.34/164.94 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n)),V_n)) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_fold__graph_H_Oequations_I2_J,axiom,
% 164.34/164.94 ! [V_a5_2,V_a1_2,V_a2_2,V_a4_2,V_a3_2,T_c,T_b] :
% 164.34/164.94 ( 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))
% 164.34/164.94 <=> ( ( V_a2_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.94 & hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = V_a4_2 )
% 164.34/164.94 | ? [B_x,B_y] :
% 164.34/164.94 ( hAPP(hAPP(V_a3_2,V_a1_2),V_a5_2) = hAPP(hAPP(V_a3_2,B_x),B_y)
% 164.34/164.94 & hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a2_2))
% 164.34/164.94 & 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) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_lessI,axiom,
% 164.34/164.94 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_n))) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Suc__mono,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_diff__commute,axiom,
% 164.34/164.94 ! [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) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_less__imp__diff__less,axiom,
% 164.34/164.94 ! [V_n,V_k,V_j] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 164.34/164.94 => 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)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_diff__less__mono2,axiom,
% 164.34/164.94 ! [V_l,V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_l))
% 164.34/164.94 => 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))) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_not__less__eq,axiom,
% 164.34/164.94 ! [V_n_2,V_m_2] :
% 164.34/164.94 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/164.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_less__Suc__eq,axiom,
% 164.34/164.94 ! [V_n_2,V_m_2] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 164.34/164.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/164.94 | V_m_2 = V_n_2 ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Suc__less__eq,axiom,
% 164.34/164.94 ! [V_n_2,V_m_2] :
% 164.34/164.94 ( 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)))
% 164.34/164.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_not__less__less__Suc__eq,axiom,
% 164.34/164.94 ! [V_m_2,V_n_2] :
% 164.34/164.94 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 164.34/164.94 <=> V_n_2 = V_m_2 ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_less__antisym,axiom,
% 164.34/164.94 ! [V_m,V_n] :
% 164.34/164.94 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_OSuc,V_m)))
% 164.34/164.94 => V_m = V_n ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_less__SucI,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Suc__lessI,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.34/164.94 => ( hAPP(c_Nat_OSuc,V_m) != V_n
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_less__trans__Suc,axiom,
% 164.34/164.94 ! [V_k,V_j,V_i] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),V_k))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_i)),V_k)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_less__SucE,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n)))
% 164.34/164.94 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.34/164.94 => V_m = V_n ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Suc__lessD,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Suc__less__SucD,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),hAPP(c_Nat_OSuc,V_n)))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_diff__less__Suc,axiom,
% 164.34/164.94 ! [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))) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_nat__less__le,axiom,
% 164.34/164.94 ! [V_n_2,V_m_2] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/164.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/164.94 & V_m_2 != V_n_2 ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_le__eq__less__or__eq,axiom,
% 164.34/164.94 ! [V_n_2,V_m_2] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/164.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/164.94 | V_m_2 = V_n_2 ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_less__imp__le__nat,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_le__neq__implies__less,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 164.34/164.94 => ( V_m != V_n
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_diff__less__mono,axiom,
% 164.34/164.94 ! [V_c,V_b,V_a] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_a),V_b))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_c),V_a))
% 164.34/164.94 => 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))) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_less__diff__iff,axiom,
% 164.34/164.94 ! [V_n_2,V_m_2,V_k_2] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 164.34/164.94 => ( 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)))
% 164.34/164.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_less__or__eq__imp__le,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.34/164.94 | V_m = V_n )
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_termination__basic__simps_I5_J,axiom,
% 164.34/164.94 ! [V_y,V_x] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Suc__le__lessD,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_le__less__Suc__eq,axiom,
% 164.34/164.94 ! [V_n_2,V_m_2] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_m_2)))
% 164.34/164.94 <=> V_n_2 = V_m_2 ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Suc__leI,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m)),V_n)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_le__imp__less__Suc,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,V_n))) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Suc__le__eq,axiom,
% 164.34/164.94 ! [V_n_2,V_m_2] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 164.34/164.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_less__Suc__eq__le,axiom,
% 164.34/164.94 ! [V_n_2,V_m_2] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 164.34/164.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_less__eq__Suc__le,axiom,
% 164.34/164.94 ! [V_m_2,V_n_2] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 164.34/164.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_less__eq__Suc__le__raw,axiom,
% 164.34/164.94 ! [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)) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_n__not__Suc__n,axiom,
% 164.34/164.94 ! [V_n] : V_n != hAPP(c_Nat_OSuc,V_n) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Suc__n__not__n,axiom,
% 164.34/164.94 ! [V_n] : hAPP(c_Nat_OSuc,V_n) != V_n ).
% 164.34/164.94
% 164.34/164.94 fof(fact_nat_Oinject,axiom,
% 164.34/164.94 ! [V_nat_H_2,V_nat_2] :
% 164.34/164.94 ( hAPP(c_Nat_OSuc,V_nat_2) = hAPP(c_Nat_OSuc,V_nat_H_2)
% 164.34/164.94 <=> V_nat_2 = V_nat_H_2 ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Suc__inject,axiom,
% 164.34/164.94 ! [V_y,V_x] :
% 164.34/164.94 ( hAPP(c_Nat_OSuc,V_x) = hAPP(c_Nat_OSuc,V_y)
% 164.34/164.94 => V_x = V_y ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_diff__Suc__Suc,axiom,
% 164.34/164.94 ! [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) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Suc__diff__diff,axiom,
% 164.34/164.94 ! [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) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inj__Suc,axiom,
% 164.34/164.94 ! [V_N_2] : c_Fun_Oinj__on(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc,V_N_2) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_le__refl,axiom,
% 164.34/164.94 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_n)) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_diff__le__self,axiom,
% 164.34/164.94 ! [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)) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_nat__le__linear,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 164.34/164.94 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_eq__imp__le,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( V_m = V_n
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_diff__le__mono2,axiom,
% 164.34/164.94 ! [V_l,V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 164.34/164.94 => 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))) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_diff__le__mono,axiom,
% 164.34/164.94 ! [V_l,V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 164.34/164.94 => 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))) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_diff__diff__cancel,axiom,
% 164.34/164.94 ! [V_n,V_i] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_n))
% 164.34/164.94 => 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 ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_le__trans,axiom,
% 164.34/164.94 ! [V_k,V_j,V_i] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_k))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_k)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_le__antisym,axiom,
% 164.34/164.94 ! [V_n,V_m] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 164.34/164.94 => V_m = V_n ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_eq__diff__iff,axiom,
% 164.34/164.94 ! [V_n_2,V_m_2,V_k_2] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 164.34/164.94 => ( 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)
% 164.34/164.94 <=> V_m_2 = V_n_2 ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_Nat_Odiff__diff__eq,axiom,
% 164.34/164.94 ! [V_n,V_m,V_k] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_m))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 164.34/164.94 => 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) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_le__diff__iff,axiom,
% 164.34/164.94 ! [V_n_2,V_m_2,V_k_2] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_m_2))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_n_2))
% 164.34/164.94 => ( 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)))
% 164.34/164.94 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_order__fun_I2_J,axiom,
% 164.34/164.94 ! [V_g_2,V_f_2,T_b,T_c] :
% 164.34/164.94 ( ( class_Orderings_Oorder(T_c)
% 164.34/164.94 & class_Enum_Oenum(T_b) )
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 164.34/164.94 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,T_c)),V_f_2),V_g_2))
% 164.34/164.94 & 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)))) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_less__eq__nat_Osimps_I2_J,axiom,
% 164.34/164.94 ! [V_n_2,V_m_2] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_m_2)),V_n_2))
% 164.34/164.94 <=> 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)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_inv__into__comp,axiom,
% 164.34/164.94 ! [V_x_2,V_A_2,V_g_2,T_d,V_f_2,T_c,T_b] :
% 164.34/164.94 ( 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))
% 164.34/164.94 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,V_A_2)
% 164.34/164.94 => ( 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))))
% 164.34/164.94 => 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) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_mk__less__def,axiom,
% 164.34/164.94 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 164.34/164.94 ( c_Partial__Function_Omk__less(T_b,V_R_2,V_x_2,V_y_2)
% 164.34/164.94 <=> ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 164.34/164.94 & ~ hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_psubset__imp__ex__mem,axiom,
% 164.34/164.94 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.94 => ? [B_b] : hBOOL(hAPP(hAPP(c_member(T_b),B_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_image__Pow__mono,axiom,
% 164.34/164.94 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.94 ( 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))
% 164.34/164.94 => 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))) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_lift__Suc__mono__le,axiom,
% 164.34/164.94 ! [V_n_H_2,V_n_2,V_f_2,T_b] :
% 164.34/164.94 ( class_Orderings_Oorder(T_b)
% 164.34/164.94 => ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n))))
% 164.34/164.94 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_n_H_2))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_n_2)),hAPP(V_f_2,V_n_H_2))) ) ) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_image__subsetI,axiom,
% 164.34/164.94 ! [V_B_2,V_f_2,T_c,V_A_2,T_b] :
% 164.34/164.94 ( ! [B_x] :
% 164.34/164.94 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.94 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,B_x)),V_B_2)) )
% 164.34/164.94 => 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)) ) ).
% 164.34/164.94
% 164.34/164.94 fof(fact_quotient__diff1,axiom,
% 164.34/164.94 ! [V_aa_2,V_A_2,V_r_2,T_b] :
% 164.34/164.95 ( 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)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.95 => 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_aa_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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_r_2)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Powp__Pow__eq,axiom,
% 164.34/164.95 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.95 ( 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))
% 164.34/164.95 <=> hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),hAPP(c_Set_OPow(T_b),V_A_2))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_PowI,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_nat__less__cases,axiom,
% 164.34/164.95 ! [V_Pa_2,V_n_2,V_m_2] :
% 164.34/164.95 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/164.95 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 164.34/164.95 => ( ( V_m_2 = V_n_2
% 164.34/164.95 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 164.34/164.95 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 164.34/164.95 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) )
% 164.34/164.95 => hBOOL(hAPP(hAPP(V_Pa_2,V_n_2),V_m_2)) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_less__not__refl3,axiom,
% 164.34/164.95 ! [V_t,V_s] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s),V_t))
% 164.34/164.95 => V_s != V_t ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_less__not__refl2,axiom,
% 164.34/164.95 ! [V_m,V_n] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_m))
% 164.34/164.95 => V_m != V_n ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_less__irrefl__nat,axiom,
% 164.34/164.95 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_linorder__neqE__nat,axiom,
% 164.34/164.95 ! [V_y,V_x] :
% 164.34/164.95 ( V_x != V_y
% 164.34/164.95 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y),V_x)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_nat__neq__iff,axiom,
% 164.34/164.95 ! [V_n_2,V_m_2] :
% 164.34/164.95 ( V_m_2 != V_n_2
% 164.34/164.95 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/164.95 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_less__not__refl,axiom,
% 164.34/164.95 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_n)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Cantors__paradox,axiom,
% 164.34/164.95 ! [V_A_2,T_b] :
% 164.34/164.95 ~ ? [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) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Pow__top,axiom,
% 164.34/164.95 ! [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))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Pow__not__empty,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_exists__code,axiom,
% 164.34/164.95 ! [V_Pa_2,T_b] :
% 164.34/164.95 ( class_Enum_Oenum(T_b)
% 164.34/164.95 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 164.34/164.95 <=> hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_enum__ex,axiom,
% 164.34/164.95 ! [V_Pa_2,T_b] :
% 164.34/164.95 ( class_Enum_Oenum(T_b)
% 164.34/164.95 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(T_b),V_Pa_2))
% 164.34/164.95 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_quotient__empty,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_quotient__is__empty2,axiom,
% 164.34/164.95 ! [V_r_2,V_A_2,T_b] :
% 164.34/164.95 ( 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)
% 164.34/164.95 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_quotient__is__empty,axiom,
% 164.34/164.95 ! [V_r_2,V_A_2,T_b] :
% 164.34/164.95 ( 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))
% 164.34/164.95 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Pow__bottom,axiom,
% 164.34/164.95 ! [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))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Pow__empty,axiom,
% 164.34/164.95 ! [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))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Pow__iff,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 164.34/164.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_PowD,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(c_Set_OPow(T_b),V_B_2)))
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_image__Pow__surj,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,V_f_2,T_b,T_c] :
% 164.34/164.95 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_B_2
% 164.34/164.95 => 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) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Pow__def,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inv__into__injective,axiom,
% 164.34/164.95 ! [V_y_2,V_x_2,V_f_2,V_A_2,T_c,T_b] :
% 164.34/164.95 ( 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)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 164.34/164.95 => V_x_2 = V_y_2 ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inv__into__into,axiom,
% 164.34/164.95 ! [V_A_2,V_f_2,T_c,V_x_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_f__inv__into__f,axiom,
% 164.34/164.95 ! [V_A_2,V_f_2,T_c,V_y_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 164.34/164.95 => 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 ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inv__into__f__f,axiom,
% 164.34/164.95 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.95 => 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 ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inv__into__f__eq,axiom,
% 164.34/164.95 ! [V_y_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.95 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 164.34/164.95 => hAPP(c_Hilbert__Choice_Oinv__into(T_b,T_c,V_A_2,V_f_2),V_y_2) = V_x_2 ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_image__inv__into__cancel,axiom,
% 164.34/164.95 ! [V_B_H_2,V_A_H_2,V_A_2,V_f_2,T_b,T_c] :
% 164.34/164.95 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_H_2),V_A_H_2))
% 164.34/164.95 => 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 ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_nat__case__Suc,axiom,
% 164.34/164.95 ! [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) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Pow__mono,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.95 => 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))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inj__on__inv__into,axiom,
% 164.34/164.95 ! [V_A_2,V_f_2,T_c,V_B_2,T_b] :
% 164.34/164.95 ( 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)))
% 164.34/164.95 => 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) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inv__into__image__cancel,axiom,
% 164.34/164.95 ! [V_S_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_A_2))
% 164.34/164.95 => 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 ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inj__on__diff__nat,axiom,
% 164.34/164.95 ! [V_k_2,V_N_2] :
% 164.34/164.95 ( ! [B_x] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),B_x)) )
% 164.34/164.95 => 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) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_quotientI,axiom,
% 164.34/164.95 ! [V_r_2,V_A_2,V_x_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.95 => 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))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inv__into__def,axiom,
% 164.34/164.95 ! [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))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inj__singleton,axiom,
% 164.34/164.95 ! [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))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inc__induct,axiom,
% 164.34/164.95 ! [V_Pa_2,V_j_2,V_i_2] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 164.34/164.95 => ( hBOOL(hAPP(V_Pa_2,V_j_2))
% 164.34/164.95 => ( ! [B_i] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 164.34/164.95 => ( hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_OSuc,B_i)))
% 164.34/164.95 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 164.34/164.95 => hBOOL(hAPP(V_Pa_2,V_i_2)) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_lift__Suc__mono__less__iff,axiom,
% 164.34/164.95 ! [V_m_2,V_n_2,V_f_2,T_b] :
% 164.34/164.95 ( class_Orderings_Oorder(T_b)
% 164.34/164.95 => ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n))))
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_n_2)),hAPP(V_f_2,V_m_2)))
% 164.34/164.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_lift__Suc__mono__less,axiom,
% 164.34/164.95 ! [V_n_H_2,V_n_2,V_f_2,T_b] :
% 164.34/164.95 ( class_Orderings_Oorder(T_b)
% 164.34/164.95 => ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_n)),hAPP(V_f_2,hAPP(c_Nat_OSuc,B_n))))
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_n_H_2))
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,V_n_2)),hAPP(V_f_2,V_n_H_2))) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Pow__insert,axiom,
% 164.34/164.95 ! [V_A_2,V_aa_2,T_b] : hAPP(c_Set_OPow(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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_aa_2)),hAPP(c_Set_OPow(T_b),V_A_2))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_fun__left__comm__idem__remove,axiom,
% 164.34/164.95 ! [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))))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_o__inv__o__cancel,axiom,
% 164.34/164.95 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => 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 ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_top1I,axiom,
% 164.34/164.95 ! [V_x_2,T_b] : hBOOL(hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_x_2)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup1CI,axiom,
% 164.34/164.95 ! [T_b,V_A_2,V_x_2,V_B_2] :
% 164.34/164.95 ( ( ~ hBOOL(hAPP(V_B_2,V_x_2))
% 164.34/164.95 => hBOOL(hAPP(V_A_2,V_x_2)) )
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup1E,axiom,
% 164.34/164.95 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 164.34/164.95 ( 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))
% 164.34/164.95 => ( ~ hBOOL(hAPP(V_A_2,V_x_2))
% 164.34/164.95 => hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UNIV__I,axiom,
% 164.34/164.95 ! [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)))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UnCI,axiom,
% 164.34/164.95 ! [V_A_2,V_B_2,V_ca_2,T_b] :
% 164.34/164.95 ( ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2))
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) )
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UnE,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 164.34/164.95 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__fun__def,axiom,
% 164.34/164.95 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( class_Lattices_Olattice(T_b)
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__apply,axiom,
% 164.34/164.95 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( class_Lattices_Olattice(T_b)
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__assoc,axiom,
% 164.34/164.95 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inf__sup__aci_I6_J,axiom,
% 164.34/164.95 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Olattice(T_a)
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup_Oassoc,axiom,
% 164.34/164.95 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__left__commute,axiom,
% 164.34/164.95 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inf__sup__aci_I7_J,axiom,
% 164.34/164.95 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Olattice(T_a)
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup_Oleft__commute,axiom,
% 164.34/164.95 ! [V_c,V_a,V_b,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__left__idem,axiom,
% 164.34/164.95 ! [V_y,V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => 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) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inf__sup__aci_I8_J,axiom,
% 164.34/164.95 ! [V_y,V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Olattice(T_a)
% 164.34/164.95 => 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) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup_Oleft__idem,axiom,
% 164.34/164.95 ! [V_b,V_a,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => 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) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__commute,axiom,
% 164.34/164.95 ! [V_y,V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => 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) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inf__sup__aci_I5_J,axiom,
% 164.34/164.95 ! [V_y,V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Olattice(T_a)
% 164.34/164.95 => 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) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup_Ocommute,axiom,
% 164.34/164.95 ! [V_b,V_a,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => 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) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__idem,axiom,
% 164.34/164.95 ! [V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup_Oidem,axiom,
% 164.34/164.95 ! [V_a,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_a),V_a) = V_a ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__top__right,axiom,
% 164.34/164.95 ! [V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Obounded__lattice__top(T_a)
% 164.34/164.95 => 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) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__top__left,axiom,
% 164.34/164.95 ! [V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Obounded__lattice__top(T_a)
% 164.34/164.95 => 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) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_fun__left__comm__idem__sup,axiom,
% 164.34/164.95 ! [T_b] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_b)
% 164.34/164.95 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_fun__left__comm__idem_Ofun__left__idem,axiom,
% 164.34/164.95 ! [V_z_2,V_x_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 164.34/164.95 => 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) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_ball__Un,axiom,
% 164.34/164.95 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 164.34/164.95 ( ! [B_x] :
% 164.34/164.95 ( 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)))
% 164.34/164.95 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.34/164.95 <=> ( ! [B_x] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.95 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.34/164.95 & ! [B_x] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 164.34/164.95 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_bex__Un,axiom,
% 164.34/164.95 ! [V_Pa_2,V_B_2,V_A_2,T_b] :
% 164.34/164.95 ( ? [B_x] :
% 164.34/164.95 ( 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)))
% 164.34/164.95 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.34/164.95 <=> ( ? [B_x] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.95 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.34/164.95 | ? [B_x] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_B_2))
% 164.34/164.95 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__assoc,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__left__commute,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__left__absorb,axiom,
% 164.34/164.95 ! [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) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__commute,axiom,
% 164.34/164.95 ! [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) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__absorb,axiom,
% 164.34/164.95 ! [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 ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__UNIV__right,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__UNIV__left,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_top__apply,axiom,
% 164.34/164.95 ! [V_x_2,T_c,T_b] :
% 164.34/164.95 ( class_Orderings_Otop(T_b)
% 164.34/164.95 => hAPP(c_Orderings_Otop__class_Otop(tc_fun(T_c,T_b)),V_x_2) = c_Orderings_Otop__class_Otop(T_b) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup1I2,axiom,
% 164.34/164.95 ! [V_A_2,T_b,V_x_2,V_B_2] :
% 164.34/164.95 ( hBOOL(hAPP(V_B_2,V_x_2))
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup1I1,axiom,
% 164.34/164.95 ! [V_B_2,T_b,V_x_2,V_A_2] :
% 164.34/164.95 ( hBOOL(hAPP(V_A_2,V_x_2))
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_fun__left__comm__idem_Ofun__left__comm__idem__apply,axiom,
% 164.34/164.95 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_someI,axiom,
% 164.34/164.95 ! [T_b,V_x_2,V_Pa_2] :
% 164.34/164.95 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.34/164.95 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_tfl__some,axiom,
% 164.34/164.95 ! [T_b,B_P] :
% 164.34/164.95 ( ? [B_x] : hBOOL(hAPP(B_P,B_x))
% 164.34/164.95 => hBOOL(hAPP(B_P,c_Hilbert__Choice_OEps(T_b,B_P))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Pow__UNIV,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_fun__left__comm__idem__insert,axiom,
% 164.34/164.95 ! [T_b] : c_Finite__Set_Ofun__left__comm__idem(T_b,tc_fun(T_b,tc_HOL_Obool),c_Set_Oinsert(T_b)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_someI__ex,axiom,
% 164.34/164.95 ! [T_b,V_Pa_2] :
% 164.34/164.95 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 164.34/164.95 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_some__eq__ex,axiom,
% 164.34/164.95 ! [T_b,V_Pa_2] :
% 164.34/164.95 ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OEps(T_b,V_Pa_2)))
% 164.34/164.95 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_some__eq__trivial,axiom,
% 164.34/164.95 ! [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 ).
% 164.34/164.95
% 164.34/164.95 fof(fact_some__sym__eq__trivial,axiom,
% 164.34/164.95 ! [V_x_2,T_b] : c_Hilbert__Choice_OEps(T_b,hAPP(c_fequal,V_x_2)) = V_x_2 ).
% 164.34/164.95
% 164.34/164.95 fof(fact_fun__left__comm__idem_Ofun__comp__idem,axiom,
% 164.34/164.95 ! [V_x_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 164.34/164.95 => 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) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inv__def,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inf__sup__ord_I3_J,axiom,
% 164.34/164.95 ! [V_y,V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Olattice(T_a)
% 164.34/164.95 => 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))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__ge1,axiom,
% 164.34/164.95 ! [V_y,V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => 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))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inf__sup__ord_I4_J,axiom,
% 164.34/164.95 ! [V_x,V_y,T_a] :
% 164.34/164.95 ( class_Lattices_Olattice(T_a)
% 164.34/164.95 => 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))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__ge2,axiom,
% 164.34/164.95 ! [V_x,V_y,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => 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))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_le__iff__sup,axiom,
% 164.34/164.95 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_b)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 164.34/164.95 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_le__sup__iff,axiom,
% 164.34/164.95 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_b)
% 164.34/164.95 => ( 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))
% 164.34/164.95 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 164.34/164.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_le__supI1,axiom,
% 164.34/164.95 ! [V_b,V_a,V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 164.34/164.95 => 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))) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_le__supI2,axiom,
% 164.34/164.95 ! [V_a,V_b,V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 164.34/164.95 => 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))) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__absorb2,axiom,
% 164.34/164.95 ! [V_y,V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.34/164.95 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_y ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__absorb1,axiom,
% 164.34/164.95 ! [V_x,V_y,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 164.34/164.95 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = V_x ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_le__supI,axiom,
% 164.34/164.95 ! [V_b,V_x,V_a,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 164.34/164.95 => 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)) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__least,axiom,
% 164.34/164.95 ! [V_z,V_x,V_y,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 164.34/164.95 => 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)) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__mono,axiom,
% 164.34/164.95 ! [V_d,V_b,V_c,V_a,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 164.34/164.95 => 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))) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_le__supE,axiom,
% 164.34/164.95 ! [V_x,V_b,V_a,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => ( 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))
% 164.34/164.95 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 164.34/164.95 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_less__supI1,axiom,
% 164.34/164.95 ! [V_b,V_a,V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 164.34/164.95 => 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))) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_less__supI2,axiom,
% 164.34/164.95 ! [V_a,V_b,V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Osemilattice__sup(T_a)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 164.34/164.95 => 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))) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__eq__bot__iff,axiom,
% 164.34/164.95 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.95 ( class_Lattices_Obounded__lattice__bot(T_b)
% 164.34/164.95 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_y_2) = c_Orderings_Obot__class_Obot(T_b)
% 164.34/164.95 <=> ( V_x_2 = c_Orderings_Obot__class_Obot(T_b)
% 164.34/164.95 & V_y_2 = c_Orderings_Obot__class_Obot(T_b) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__bot__right,axiom,
% 164.34/164.95 ! [V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Obounded__lattice__bot(T_a)
% 164.34/164.95 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),c_Orderings_Obot__class_Obot(T_a)) = V_x ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__bot__left,axiom,
% 164.34/164.95 ! [V_x,T_a] :
% 164.34/164.95 ( class_Lattices_Obounded__lattice__bot(T_a)
% 164.34/164.95 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),c_Orderings_Obot__class_Obot(T_a)),V_x) = V_x ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UnI2,axiom,
% 164.34/164.95 ! [V_A_2,V_B_2,V_ca_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2))
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UnI1,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__iff,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 164.34/164.95 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.95 | hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__empty,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.95 ( 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))
% 164.34/164.95 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.95 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__empty__right,axiom,
% 164.34/164.95 ! [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 ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__empty__left,axiom,
% 164.34/164.95 ! [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 ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__insert__left,axiom,
% 164.34/164.95 ! [V_C_2,V_B_2,V_aa_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_aa_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__insert__right,axiom,
% 164.34/164.95 ! [V_B_2,V_aa_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_aa_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__mono,axiom,
% 164.34/164.95 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 164.34/164.95 => 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))) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__least,axiom,
% 164.34/164.95 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 164.34/164.95 => 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)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__absorb2,axiom,
% 164.34/164.95 ! [V_A_2,V_B_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.34/164.95 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__absorb1,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.95 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_subset__Un__eq,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.95 <=> hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__upper2,axiom,
% 164.34/164.95 ! [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))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__upper1,axiom,
% 164.34/164.95 ! [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))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_image__Un,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_iso__tuple__UNIV__I,axiom,
% 164.34/164.95 ! [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)))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__Diff,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__Diff__cancel2,axiom,
% 164.34/164.95 ! [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) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__Diff__cancel,axiom,
% 164.34/164.95 ! [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) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UNIV__not__empty,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__Pow__subset,axiom,
% 164.34/164.95 ! [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)))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_subset__UNIV,axiom,
% 164.34/164.95 ! [V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_injD,axiom,
% 164.34/164.95 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 164.34/164.95 => V_x_2 = V_y_2 ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inj__eq,axiom,
% 164.34/164.95 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 164.34/164.95 <=> V_x_2 = V_y_2 ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_sup__Un__eq,axiom,
% 164.34/164.95 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 164.34/164.95 ( 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))
% 164.34/164.95 <=> 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))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Collect__disj__eq,axiom,
% 164.34/164.95 ! [V_Qa_2,V_Pa_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_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UNIV__def,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_range__composition,axiom,
% 164.34/164.95 ! [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)))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_top__greatest,axiom,
% 164.34/164.95 ! [V_x,T_a] :
% 164.34/164.95 ( class_Orderings_Otop(T_a)
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Orderings_Otop__class_Otop(T_a))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_insert__is__Un,axiom,
% 164.34/164.95 ! [V_A_2,V_aa_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_A_2) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Diff__partition,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.95 => 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 ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Diff__subset__conv,axiom,
% 164.34/164.95 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 164.34/164.95 ( 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))
% 164.34/164.95 <=> 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))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inj__on__Un__image__eq__iff,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( 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))
% 164.34/164.95 => ( 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)
% 164.34/164.95 <=> V_A_2 = V_B_2 ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_range__eqI,axiom,
% 164.34/164.95 ! [T_c,T_b,V_x_2,V_f_2,V_b_2] :
% 164.34/164.95 ( V_b_2 = hAPP(V_f_2,V_x_2)
% 164.34/164.95 => 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))))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_rangeI,axiom,
% 164.34/164.95 ! [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))))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Diff__UNIV,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_ball__UNIV,axiom,
% 164.34/164.95 ! [V_Pa_2,T_b] :
% 164.34/164.95 ( ! [B_x] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 164.34/164.95 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.34/164.95 <=> ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_comp__surj,axiom,
% 164.34/164.95 ! [V_g_2,T_d,V_f_2,T_b,T_c] :
% 164.34/164.95 ( 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))
% 164.34/164.95 => ( 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))
% 164.34/164.95 => 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)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inj__image__eq__iff,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => ( 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)
% 164.34/164.95 <=> V_A_2 = V_B_2 ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inj__comp,axiom,
% 164.34/164.95 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => ( c_Fun_Oinj__on(T_d,T_b,V_g_2,c_Orderings_Otop__class_Otop(tc_fun(T_d,tc_HOL_Obool)))
% 164.34/164.95 => 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))) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_image__surj__f__inv__f,axiom,
% 164.34/164.95 ! [V_A_2,V_f_2,T_b,T_c] :
% 164.34/164.95 ( 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))
% 164.34/164.95 => 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 ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_surj__f__inv__f,axiom,
% 164.34/164.95 ! [V_y_2,V_f_2,T_b,T_c] :
% 164.34/164.95 ( 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))
% 164.34/164.95 => 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 ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_surj__iff__all,axiom,
% 164.34/164.95 ! [V_f_2,T_b,T_c] :
% 164.34/164.95 ( 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))
% 164.34/164.95 <=> ! [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 ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inv__f__eq,axiom,
% 164.34/164.95 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => ( hAPP(V_f_2,V_x_2) = V_y_2
% 164.34/164.95 => 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 ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inv__f__f,axiom,
% 164.34/164.95 ! [V_x_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => 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 ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__def,axiom,
% 164.34/164.95 ! [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))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_insert__def,axiom,
% 164.34/164.95 ! [V_B_2,V_aa_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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_aa_2))),V_B_2) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_the__inv__f__f,axiom,
% 164.34/164.95 ! [V_x_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => 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 ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inj__fun,axiom,
% 164.34/164.95 ! [T_d,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => 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))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inj__image__mem__iff,axiom,
% 164.34/164.95 ! [V_A_2,V_aa_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_aa_2)),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 164.34/164.95 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_range__ex1__eq,axiom,
% 164.34/164.95 ! [V_b_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => ( 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)))))
% 164.34/164.95 <=> ? [B_x] :
% 164.34/164.95 ( V_b_2 = hAPP(V_f_2,B_x)
% 164.34/164.95 & ! [B_y] :
% 164.34/164.95 ( V_b_2 = hAPP(V_f_2,B_y)
% 164.34/164.95 => B_y = B_x ) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inj__image__subset__iff,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => ( 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)))
% 164.34/164.95 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_image__set__diff,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_singleton__quotient,axiom,
% 164.34/164.95 ! [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))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_surj__imp__inj__inv,axiom,
% 164.34/164.95 ! [V_f_2,T_b,T_c] :
% 164.34/164.95 ( 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))
% 164.34/164.95 => 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))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inv__image__comp,axiom,
% 164.34/164.95 ! [V_X_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => 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 ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_image__inv__f__f,axiom,
% 164.34/164.95 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => 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 ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inj__imp__surj__inv,axiom,
% 164.34/164.95 ! [V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_LeastM__def,axiom,
% 164.34/164.95 ! [V_Pa_2,V_m_2,T_b,T_c] :
% 164.34/164.95 ( class_Orderings_Oord(T_c)
% 164.34/164.95 => c_Hilbert__Choice_OLeastM(T_b,T_c,V_m_2,V_Pa_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),V_Pa_2)),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),V_Pa_2))),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_Orderings_Oord__class_Oless__eq(T_c)),V_m_2))),V_m_2))))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_GreatestM__def,axiom,
% 164.34/164.95 ! [V_Pa_2,V_m_2,T_b,T_c] :
% 164.34/164.95 ( class_Orderings_Oord(T_c)
% 164.34/164.95 => hAPP(c_Hilbert__Choice_OGreatestM(T_b,T_c,V_m_2),V_Pa_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),V_Pa_2)),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),V_Pa_2))),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_b,tc_HOL_Obool),T_b),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_Orderings_Oord__class_Oless__eq(T_c)),V_m_2))),V_m_2))))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_quotientE,axiom,
% 164.34/164.95 ! [V_r_2,V_A_2,V_X_2,T_b] :
% 164.34/164.95 ( 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)))
% 164.34/164.95 => ~ ! [B_x] :
% 164.34/164.95 ( 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))))
% 164.34/164.95 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Image__Un,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Un__Image,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Image__mono,axiom,
% 164.34/164.95 ! [V_A_2,V_A_H_2,V_r_2,V_r_H_2,T_c,T_b] :
% 164.34/164.95 ( 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))
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_H_2),V_A_2))
% 164.34/164.95 => 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))) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Image__empty,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_quotient__def,axiom,
% 164.34/164.95 ! [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)))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inj__vimage__singleton,axiom,
% 164.34/164.95 ! [V_aa_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => 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_aa_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_aa_2))),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimageI,axiom,
% 164.34/164.95 ! [T_c,V_B_2,T_b,V_b_2,V_aa_2,V_f_2] :
% 164.34/164.95 ( hAPP(V_f_2,V_aa_2) = V_b_2
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_B_2))
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_member(T_c),V_aa_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_B_2))) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_SUP1__I,axiom,
% 164.34/164.95 ! [T_c,V_b_2,V_B_2,V_A_2,V_aa_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(V_B_2,V_aa_2),V_b_2))
% 164.34/164.95 => 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)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_less__by__empty,axiom,
% 164.34/164.95 ! [V_B_2,T_b,V_A_2] :
% 164.34/164.95 ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__ident,axiom,
% 164.34/164.95 ! [V_Ya_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_COMBI(T_b)),V_Ya_2) = V_Ya_2 ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__code,axiom,
% 164.34/164.95 ! [V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2),V_x_2))
% 164.34/164.95 <=> hBOOL(hAPP(V_A_2,hAPP(V_f_2,V_x_2))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_SUP1__iff,axiom,
% 164.34/164.95 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 164.34/164.95 ( 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))
% 164.34/164.95 <=> ? [B_x] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.95 & hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Image__UN,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__o,axiom,
% 164.34/164.95 ! [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) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__eq,axiom,
% 164.34/164.95 ! [V_B_2,V_f_2,T_c,V_aa_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_B_2)))
% 164.34/164.95 <=> hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_aa_2)),V_B_2)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimageD,axiom,
% 164.34/164.95 ! [V_A_2,V_f_2,T_c,V_aa_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(c_Set_Ovimage(T_b,T_c,V_f_2),V_A_2)))
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_f_2,V_aa_2)),V_A_2)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimageI2,axiom,
% 164.34/164.95 ! [T_c,V_A_2,V_aa_2,V_f_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_aa_2)),V_A_2))
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_member(T_c),V_aa_2),hAPP(c_Set_Ovimage(T_c,T_b,V_f_2),V_A_2))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__empty,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__mono,axiom,
% 164.34/164.95 ! [V_f_2,T_c,V_B_2,V_A_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.95 => 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))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__UNIV,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__Un,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__compose,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__Diff,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__Collect__eq,axiom,
% 164.34/164.95 ! [V_Pa_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_Pa_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),V_Pa_2),V_f_2)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_image__vimage__subset,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_surj__image__vimage__eq,axiom,
% 164.34/164.95 ! [V_A_2,V_f_2,T_b,T_c] :
% 164.34/164.95 ( 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))
% 164.34/164.95 => 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 ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_SUP__UN__eq,axiom,
% 164.34/164.95 ! [V_x_2,V_r_2,T_c,T_b] :
% 164.34/164.95 ( 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))
% 164.34/164.95 <=> 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))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Image__eq__UN,axiom,
% 164.34/164.95 ! [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))))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__def,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_LeastM__nat__le,axiom,
% 164.34/164.95 ! [T_b,V_m_2,V_x_2,V_Pa_2] :
% 164.34/164.95 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_m_2,c_Hilbert__Choice_OLeastM(T_b,tc_Nat_Onat,V_m_2,V_Pa_2))),hAPP(V_m_2,V_x_2))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_LeastM__nat__lemma,axiom,
% 164.34/164.95 ! [V_m_2,T_b,V_k_2,V_Pa_2] :
% 164.34/164.95 ( hBOOL(hAPP(V_Pa_2,V_k_2))
% 164.34/164.95 => ( hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OLeastM(T_b,tc_Nat_Onat,V_m_2,V_Pa_2)))
% 164.34/164.95 & ! [B_y] :
% 164.34/164.95 ( hBOOL(hAPP(V_Pa_2,B_y))
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_m_2,c_Hilbert__Choice_OLeastM(T_b,tc_Nat_Onat,V_m_2,V_Pa_2))),hAPP(V_m_2,B_y))) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__singleton__eq,axiom,
% 164.34/164.95 ! [V_b_2,V_f_2,T_c,V_aa_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_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))))))
% 164.34/164.95 <=> hAPP(V_f_2,V_aa_2) = V_b_2 ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__insert,axiom,
% 164.34/164.95 ! [V_B_2,V_aa_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_aa_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_aa_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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__subsetD,axiom,
% 164.34/164.95 ! [V_A_2,V_B_2,V_f_2,T_b,T_c] :
% 164.34/164.95 ( 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))
% 164.34/164.95 => ( 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))
% 164.34/164.95 => 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))) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inj__vimage__image__eq,axiom,
% 164.34/164.95 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => 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 ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__const,axiom,
% 164.34/164.95 ! [T_c,V_A_2,V_ca_2,T_b] :
% 164.34/164.95 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.95 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_ca_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 164.34/164.95 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.95 => hAPP(c_Set_Ovimage(T_c,T_b,hAPP(c_COMBK(T_b,T_c),V_ca_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__subsetI,axiom,
% 164.34/164.95 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => ( 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)))
% 164.34/164.95 => 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)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__I,axiom,
% 164.34/164.95 ! [V_B_2,V_b_2,T_c,V_A_2,V_aa_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_aa_2)))
% 164.34/164.95 => 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))) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__Pow__subset,axiom,
% 164.34/164.95 ! [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)))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__eq__UN,axiom,
% 164.34/164.95 ! [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))))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_image__eq__UN,axiom,
% 164.34/164.95 ! [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)))) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__insert,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,V_aa_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_aa_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_aa_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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__simps_I3_J,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 164.34/164.95 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.95 => 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)) )
% 164.34/164.95 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.95 => 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)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__simps_I2_J,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 164.34/164.95 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.95 => 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)) )
% 164.34/164.95 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.95 => 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) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__extend__simps_I3_J,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 164.34/164.95 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.95 => 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 )
% 164.34/164.95 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.95 => 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)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__extend__simps_I2_J,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 164.34/164.95 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.95 => 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 )
% 164.34/164.95 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.95 => 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)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_LeastM__natI,axiom,
% 164.34/164.95 ! [V_m_2,T_b,V_k_2,V_Pa_2] :
% 164.34/164.95 ( hBOOL(hAPP(V_Pa_2,V_k_2))
% 164.34/164.95 => hBOOL(hAPP(V_Pa_2,c_Hilbert__Choice_OLeastM(T_b,tc_Nat_Onat,V_m_2,V_Pa_2))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_ball__UN,axiom,
% 164.34/164.95 ! [V_Pa_2,V_B_2,V_A_2,T_c,T_b] :
% 164.34/164.95 ( ! [B_x] :
% 164.34/164.95 ( 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)))
% 164.34/164.95 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.34/164.95 <=> ! [B_x] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 164.34/164.95 => ! [B_xa] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(V_B_2,B_x)))
% 164.34/164.95 => hBOOL(hAPP(V_Pa_2,B_xa)) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_SUP__commute,axiom,
% 164.34/164.95 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 164.34/164.95 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.95 => 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))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__UN__flatten,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__simps_I9_J,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__extend__simps_I9_J,axiom,
% 164.34/164.95 ! [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) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_SUP__le__iff,axiom,
% 164.34/164.95 ! [V_u_2,V_M_2,V_A_2,T_c,T_b] :
% 164.34/164.95 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.95 => ( 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))
% 164.34/164.95 <=> ! [B_x] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_M_2,B_x)),V_u_2)) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_less__SUP__iff,axiom,
% 164.34/164.95 ! [V_f_2,V_A_2,T_c,V_aa_2,T_b] :
% 164.34/164.95 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.95 & class_Orderings_Olinorder(T_b) )
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),V_A_2),V_f_2)))
% 164.34/164.95 <=> ? [B_x] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 164.34/164.95 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),hAPP(V_f_2,B_x))) ) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__iff,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 164.34/164.95 ( 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)))
% 164.34/164.95 <=> ? [B_x] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 164.34/164.95 & hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_SUP__const,axiom,
% 164.34/164.95 ! [V_M_2,T_b,V_A_2,T_c] :
% 164.34/164.95 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 164.34/164.95 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.95 => 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 ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UNION__empty__conv_I2_J,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,T_b,T_c] :
% 164.34/164.95 ( 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))
% 164.34/164.95 <=> ! [B_x] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 164.34/164.95 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__constant,axiom,
% 164.34/164.95 ! [V_ca_2,T_c,T_b,V_A_2] :
% 164.34/164.95 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.95 => 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_ca_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 164.34/164.95 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.95 => 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_ca_2)) = V_ca_2 ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__empty2,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UNION__empty__conv_I1_J,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,T_c,T_b] :
% 164.34/164.95 ( 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)
% 164.34/164.95 <=> ! [B_x] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 164.34/164.95 => hAPP(V_B_2,B_x) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__subset__iff,axiom,
% 164.34/164.95 ! [V_B_2,V_A_2,V_I_2,T_c,T_b] :
% 164.34/164.95 ( 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))
% 164.34/164.95 <=> ! [B_x] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 164.34/164.95 => 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)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__extend__simps_I10_J,axiom,
% 164.34/164.95 ! [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) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_image__UN,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__simps_I10_J,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__Un,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__Un__distrib,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_SUPR__apply,axiom,
% 164.34/164.95 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 164.34/164.95 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.95 => 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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__simps_I6_J,axiom,
% 164.34/164.95 ! [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) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__extend__simps_I6_J,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_vimage__UN,axiom,
% 164.34/164.95 ! [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)) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_SUP__subset,axiom,
% 164.34/164.95 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 164.34/164.95 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.95 => 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))) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_le__SUPI,axiom,
% 164.34/164.95 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 164.34/164.95 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 164.34/164.95 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 164.34/164.95 => 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))) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__insert__distrib,axiom,
% 164.34/164.95 ! [V_B_2,V_aa_2,T_c,V_A_2,V_u_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 164.34/164.95 => 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_aa_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_aa_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)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__upper,axiom,
% 164.34/164.95 ! [V_B_2,T_c,V_A_2,V_aa_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.95 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_B_2,V_aa_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))) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__absorb,axiom,
% 164.34/164.95 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 164.34/164.95 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 164.34/164.95 => 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) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__extend__simps_I1_J,axiom,
% 164.34/164.95 ! [V_B_2,V_aa_2,T_c,T_b,V_C_2] :
% 164.34/164.95 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.95 => hAPP(hAPP(c_Set_Oinsert(T_c),V_aa_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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) )
% 164.34/164.95 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.95 => hAPP(hAPP(c_Set_Oinsert(T_c),V_aa_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_aa_2)),V_B_2)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__singleton,axiom,
% 164.34/164.95 ! [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 ).
% 164.34/164.95
% 164.34/164.95 fof(fact_UN__simps_I1_J,axiom,
% 164.34/164.95 ! [V_B_2,V_aa_2,T_c,T_b,V_C_2] :
% 164.34/164.95 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.95 => 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_aa_2)),V_B_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) )
% 164.34/164.95 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.95 => 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_aa_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_aa_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)) ) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_Greatest__def,axiom,
% 164.34/164.95 ! [T_b] :
% 164.34/164.95 ( class_Orderings_Oord(T_b)
% 164.34/164.95 => c_Hilbert__Choice_OGreatest(T_b) = c_Hilbert__Choice_OGreatestM(T_b,T_b,c_COMBI(T_b)) ) ).
% 164.34/164.95
% 164.34/164.95 fof(fact_inj__transfer,axiom,
% 164.34/164.95 ! [V_x_2,V_Pa_2,V_f_2,T_c,T_b] :
% 164.34/164.95 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.95 => ( ! [B_y] :
% 164.34/164.95 ( 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)))))
% 164.34/164.96 => hBOOL(hAPP(V_Pa_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))) )
% 164.34/164.96 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inj__on__Un,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.96 & c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 164.34/164.96 & 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)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_equiv__class__self,axiom,
% 164.34/164.96 ! [V_aa_2,V_r_2,V_A_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Diff1__fold__graph,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.96 => 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))) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inv__o__cancel,axiom,
% 164.34/164.96 ! [V_f_2,T_c,T_b] :
% 164.34/164.96 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.96 => 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) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inj__iff,axiom,
% 164.34/164.96 ! [V_f_2,T_c,T_b] :
% 164.34/164.96 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.96 <=> 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) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Image__singleton,axiom,
% 164.34/164.96 ! [V_aa_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_aa_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_aa_2))),V_r_2)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_surj__iff,axiom,
% 164.34/164.96 ! [V_f_2,T_b,T_c] :
% 164.34/164.96 ( 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))
% 164.34/164.96 <=> 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) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf1I,axiom,
% 164.34/164.96 ! [T_b,V_B_2,V_x_2,V_A_2] :
% 164.34/164.96 ( hBOOL(hAPP(V_A_2,V_x_2))
% 164.34/164.96 => ( hBOOL(hAPP(V_B_2,V_x_2))
% 164.34/164.96 => 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)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf1E,axiom,
% 164.34/164.96 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 => ~ ( hBOOL(hAPP(V_A_2,V_x_2))
% 164.34/164.96 => ~ hBOOL(hAPP(V_B_2,V_x_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_SUP2__I,axiom,
% 164.34/164.96 ! [T_d,T_c,V_ca_2,V_b_2,V_B_2,V_A_2,V_aa_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(hAPP(V_B_2,V_aa_2),V_b_2),V_ca_2))
% 164.34/164.96 => 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_ca_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_IntI,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_IntE,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 164.34/164.96 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.96 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf1D1,axiom,
% 164.34/164.96 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 => hBOOL(hAPP(V_A_2,V_x_2)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf1D2,axiom,
% 164.34/164.96 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 => hBOOL(hAPP(V_B_2,V_x_2)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__absorb,axiom,
% 164.34/164.96 ! [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 ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__commute,axiom,
% 164.34/164.96 ! [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) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__left__absorb,axiom,
% 164.34/164.96 ! [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) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__left__commute,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__assoc,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_id__apply,axiom,
% 164.34/164.96 ! [V_x,T_a] : hAPP(c_Fun_Oid(T_a),V_x) = V_x ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf_Oidem,axiom,
% 164.34/164.96 ! [V_a,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_a),V_a) = V_a ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__idem,axiom,
% 164.34/164.96 ! [V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf_Ocommute,axiom,
% 164.34/164.96 ! [V_b,V_a,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => 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) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__sup__aci_I1_J,axiom,
% 164.34/164.96 ! [V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Olattice(T_a)
% 164.34/164.96 => 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) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__commute,axiom,
% 164.34/164.96 ! [V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => 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) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf_Oleft__idem,axiom,
% 164.34/164.96 ! [V_b,V_a,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => 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) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__sup__aci_I4_J,axiom,
% 164.34/164.96 ! [V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Olattice(T_a)
% 164.34/164.96 => 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) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__left__idem,axiom,
% 164.34/164.96 ! [V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => 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) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf_Oleft__commute,axiom,
% 164.34/164.96 ! [V_c,V_a,V_b,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__sup__aci_I3_J,axiom,
% 164.34/164.96 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Olattice(T_a)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__left__commute,axiom,
% 164.34/164.96 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf_Oassoc,axiom,
% 164.34/164.96 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__sup__aci_I2_J,axiom,
% 164.34/164.96 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Olattice(T_a)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__assoc,axiom,
% 164.34/164.96 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__apply,axiom,
% 164.34/164.96 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 164.34/164.96 ( class_Lattices_Olattice(T_b)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__fun__def,axiom,
% 164.34/164.96 ! [V_x_2,V_g_2,V_f_2,T_c,T_b] :
% 164.34/164.96 ( class_Lattices_Olattice(T_b)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_id__def,axiom,
% 164.34/164.96 ! [V_x_1,T_a] : hAPP(c_Fun_Oid(T_a),V_x_1) = V_x_1 ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Pow__Int__eq,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_pred__equals__eq2,axiom,
% 164.34/164.96 ! [V_S_2,V_R_2,T_c,T_b] :
% 164.34/164.96 ( 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)
% 164.34/164.96 <=> V_R_2 = V_S_2 ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_SUP__UN__eq2,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 <=> 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))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_le__infE,axiom,
% 164.34/164.96 ! [V_b,V_a,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => ( 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)))
% 164.34/164.96 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 164.34/164.96 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__mono,axiom,
% 164.34/164.96 ! [V_d,V_b,V_c,V_a,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 164.34/164.96 => 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))) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__greatest,axiom,
% 164.34/164.96 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 164.34/164.96 => 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))) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_le__infI,axiom,
% 164.34/164.96 ! [V_b,V_a,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 164.34/164.96 => 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))) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__absorb2,axiom,
% 164.34/164.96 ! [V_x,V_y,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 164.34/164.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_y ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__absorb1,axiom,
% 164.34/164.96 ! [V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.34/164.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = V_x ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_le__infI2,axiom,
% 164.34/164.96 ! [V_a,V_x,V_b,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 164.34/164.96 => 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)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_le__infI1,axiom,
% 164.34/164.96 ! [V_b,V_x,V_a,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 164.34/164.96 => 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)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_le__inf__iff,axiom,
% 164.34/164.96 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_b)
% 164.34/164.96 => ( 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)))
% 164.34/164.96 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 164.34/164.96 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_le__iff__inf,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_b)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 164.34/164.96 <=> hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__le2,axiom,
% 164.34/164.96 ! [V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__sup__ord_I2_J,axiom,
% 164.34/164.96 ! [V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Olattice(T_a)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__le1,axiom,
% 164.34/164.96 ! [V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__sup__ord_I1_J,axiom,
% 164.34/164.96 ! [V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Olattice(T_a)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_less__infI2,axiom,
% 164.34/164.96 ! [V_a,V_x,V_b,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 164.34/164.96 => 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)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_less__infI1,axiom,
% 164.34/164.96 ! [V_b,V_x,V_a,T_a] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_a)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 164.34/164.96 => 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)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__bot__left,axiom,
% 164.34/164.96 ! [V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Obounded__lattice__bot(T_a)
% 164.34/164.96 => 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) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__bot__right,axiom,
% 164.34/164.96 ! [V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Obounded__lattice__bot(T_a)
% 164.34/164.96 => 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) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__sup__absorb,axiom,
% 164.34/164.96 ! [V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Olattice(T_a)
% 164.34/164.96 => 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 ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_sup__inf__absorb,axiom,
% 164.34/164.96 ! [V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Olattice(T_a)
% 164.34/164.96 => 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 ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__sup__distrib1,axiom,
% 164.34/164.96 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Odistrib__lattice(T_a)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_sup__inf__distrib1,axiom,
% 164.34/164.96 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Odistrib__lattice(T_a)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__sup__distrib2,axiom,
% 164.34/164.96 ! [V_x,V_z,V_y,T_a] :
% 164.34/164.96 ( class_Lattices_Odistrib__lattice(T_a)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_sup__inf__distrib2,axiom,
% 164.34/164.96 ! [V_x,V_z,V_y,T_a] :
% 164.34/164.96 ( class_Lattices_Odistrib__lattice(T_a)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__top__left,axiom,
% 164.34/164.96 ! [V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Obounded__lattice__top(T_a)
% 164.34/164.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),c_Orderings_Otop__class_Otop(T_a)),V_x) = V_x ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__top__right,axiom,
% 164.34/164.96 ! [V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Obounded__lattice__top(T_a)
% 164.34/164.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),c_Orderings_Otop__class_Otop(T_a)) = V_x ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__eq__top__iff,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.96 ( class_Lattices_Obounded__lattice__top(T_b)
% 164.34/164.96 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_y_2) = c_Orderings_Otop__class_Otop(T_b)
% 164.34/164.96 <=> ( V_x_2 = c_Orderings_Otop__class_Otop(T_b)
% 164.34/164.96 & V_y_2 = c_Orderings_Otop__class_Otop(T_b) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__iff,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 164.34/164.96 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.96 & hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_IntD1,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 164.34/164.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_IntD2,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,V_ca_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 164.34/164.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_B_2)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__empty__left,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__empty__right,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_disjoint__iff__not__equal,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 <=> ! [B_x] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.96 => ! [B_xa] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_B_2))
% 164.34/164.96 => B_x != B_xa ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_insert__inter__insert,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,V_aa_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_aa_2),V_A_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__lower1,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_A_2)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__lower2,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_B_2)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__absorb2,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__absorb1,axiom,
% 164.34/164.96 ! [V_A_2,V_B_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.34/164.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_B_2 ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__greatest,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,V_C_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_B_2))
% 164.34/164.96 => 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))) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__mono,axiom,
% 164.34/164.96 ! [V_D_2,V_B_2,V_C_2,V_A_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_D_2))
% 164.34/164.96 => 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))) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__UNIV__left,axiom,
% 164.34/164.96 ! [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 ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__UNIV__right,axiom,
% 164.34/164.96 ! [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 ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__Un__distrib,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Un__Int__distrib,axiom,
% 164.34/164.96 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Lattices_Osemilattice__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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__Un__distrib2,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Un__Int__distrib2,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Un__Int__crazy,axiom,
% 164.34/164.96 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Diff__Int__distrib,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__Diff,axiom,
% 164.34/164.96 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Lattices_Osemilattice__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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Diff__Int__distrib2,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Diff__Int2,axiom,
% 164.34/164.96 ! [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) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inj__on__Int,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.96 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.96 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 164.34/164.96 => 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)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_image__id,axiom,
% 164.34/164.96 ! [V_Ya_2,T_b] : hAPP(c_Set_Oimage(T_b,T_b,c_Fun_Oid(T_b)),V_Ya_2) = V_Ya_2 ).
% 164.34/164.96
% 164.34/164.96 fof(fact_o__eq__id__dest,axiom,
% 164.34/164.96 ! [V_v_2,V_ca_2,V_b_2,V_aa_2,T_b,T_c,T_d] :
% 164.34/164.96 ( hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_aa_2),V_b_2) = hAPP(c_Fun_Ocomp(T_c,T_c,T_b,c_Fun_Oid(T_c)),V_ca_2)
% 164.34/164.96 => hAPP(V_aa_2,hAPP(V_b_2,V_v_2)) = hAPP(V_ca_2,V_v_2) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_o__id,axiom,
% 164.34/164.96 ! [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 ).
% 164.34/164.96
% 164.34/164.96 fof(fact_id__o,axiom,
% 164.34/164.96 ! [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 ).
% 164.34/164.96
% 164.34/164.96 fof(fact_vimage__Int,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inj__on__id,axiom,
% 164.34/164.96 ! [V_A_2,T_b] : c_Fun_Oinj__on(T_b,T_b,c_Fun_Oid(T_b),V_A_2) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_equiv__class__nondisjoint,axiom,
% 164.34/164.96 ! [V_b_2,V_aa_2,V_x_2,V_r_2,V_A_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.96 => ( 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_aa_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)))))))
% 164.34/164.96 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),V_r_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_vimage__id,axiom,
% 164.34/164.96 ! [V_A_2,T_b] : hAPP(c_Set_Ovimage(T_b,T_b,c_Fun_Oid(T_b)),V_A_2) = V_A_2 ).
% 164.34/164.96
% 164.34/164.96 fof(fact_fun__left__comm__idem__inf,axiom,
% 164.34/164.96 ! [T_b] :
% 164.34/164.96 ( class_Lattices_Osemilattice__inf(T_b)
% 164.34/164.96 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_fold__graph_Oequations_I1_J,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_fold__graph_OemptyI,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_empty__fold__graphE,axiom,
% 164.34/164.96 ! [V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 => V_x_2 = V_z_2 ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__Int__eq,axiom,
% 164.34/164.96 ! [V_x_2,V_S_2,V_R_2,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 <=> 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))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Collect__conj__eq,axiom,
% 164.34/164.96 ! [V_Qa_2,V_Pa_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_Pa_2)),V_Qa_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_UN__simps_I5_J,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_UN__simps_I4_J,axiom,
% 164.34/164.96 ! [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) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_UN__extend__simps_I5_J,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__UN__distrib,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_UN__extend__simps_I4_J,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__UN__distrib2,axiom,
% 164.34/164.96 ! [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))) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_pred__subset__eq2,axiom,
% 164.34/164.96 ! [V_S_2,V_R_2,T_c,T_b] :
% 164.34/164.96 ( 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)))
% 164.34/164.96 <=> 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_bot__empty__eq2,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,T_c,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 <=> 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)))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_equiv__class__eq,axiom,
% 164.34/164.96 ! [V_b_2,V_aa_2,V_r_2,V_A_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),V_r_2))
% 164.34/164.96 => hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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)))) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_sup__Un__eq2,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 <=> 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))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_quotient__eq__iff,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,V_Ya_2,V_X_2,V_r_2,V_A_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.96 => ( 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)))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Ya_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Ya_2))
% 164.34/164.96 => ( V_X_2 = V_Ya_2
% 164.34/164.96 <=> 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)) ) ) ) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_quotient__eqI,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,V_Ya_2,V_X_2,V_r_2,V_A_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.96 => ( 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)))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Ya_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_X_2))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_Ya_2))
% 164.34/164.96 => ( 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))
% 164.34/164.96 => V_X_2 = V_Ya_2 ) ) ) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_quotient__disj,axiom,
% 164.34/164.96 ! [V_Ya_2,V_X_2,V_r_2,V_A_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.96 => ( 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)))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Ya_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 164.34/164.96 => ( V_X_2 = V_Ya_2
% 164.34/164.96 | hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_Ya_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_enum__ex__prod__def,axiom,
% 164.34/164.96 ! [V_Pa_2,T_b,T_c] :
% 164.34/164.96 ( ( class_Enum_Oenum(T_c)
% 164.34/164.96 & class_Enum_Oenum(T_b) )
% 164.34/164.96 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__ex(tc_prod(T_b,T_c)),V_Pa_2))
% 164.34/164.96 <=> 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_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_enum__all__prod__def,axiom,
% 164.34/164.96 ! [V_Pa_2,T_b,T_c] :
% 164.34/164.96 ( ( class_Enum_Oenum(T_c)
% 164.34/164.96 & class_Enum_Oenum(T_b) )
% 164.34/164.96 => ( hBOOL(hAPP(c_Enum_Oenum__class_Oenum__all(tc_prod(T_b,T_c)),V_Pa_2))
% 164.34/164.96 <=> 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_Pa_2)),c_Product__Type_OPair(T_b,T_c))))) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_distrib__inf__le,axiom,
% 164.34/164.96 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Olattice(T_a)
% 164.34/164.96 => 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)))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_distrib__sup__le,axiom,
% 164.34/164.96 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Olattice(T_a)
% 164.34/164.96 => 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)))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__insert__left__if1,axiom,
% 164.34/164.96 ! [V_B_2,V_C_2,V_aa_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_C_2))
% 164.34/164.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__insert__right__if1,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,V_aa_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.96 => 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_aa_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__insert__left__if0,axiom,
% 164.34/164.96 ! [V_B_2,V_C_2,V_aa_2,T_b] :
% 164.34/164.96 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_C_2))
% 164.34/164.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__insert__right__if0,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,V_aa_2,T_b] :
% 164.34/164.96 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.96 => 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_aa_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) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__insert__left,axiom,
% 164.34/164.96 ! [V_B_2,V_C_2,V_aa_2,T_b] :
% 164.34/164.96 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_C_2))
% 164.34/164.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_B_2)),V_C_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2)) )
% 164.34/164.96 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_C_2))
% 164.34/164.96 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__insert__right,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,V_aa_2,T_b] :
% 164.34/164.96 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.96 => 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_aa_2),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) )
% 164.34/164.96 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.96 => 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_aa_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) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_image__Int__subset,axiom,
% 164.34/164.96 ! [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)))) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Diff__triv,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = V_A_2 ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Diff__disjoint,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Un__Int__assoc__eq,axiom,
% 164.34/164.96 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_C_2),V_A_2)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_equiv__class__eq__iff,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.96 => ( 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))
% 164.34/164.96 <=> ( 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))))
% 164.34/164.96 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.96 & hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_eq__equiv__class__iff,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 164.34/164.96 => ( 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))))
% 164.34/164.96 <=> 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)) ) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_eq__equiv__class,axiom,
% 164.34/164.96 ! [V_A_2,V_b_2,V_aa_2,V_r_2,T_b] :
% 164.34/164.96 ( hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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))))
% 164.34/164.96 => ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),V_r_2)) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Diff__Int,axiom,
% 164.34/164.96 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Diff__Un,axiom,
% 164.34/164.96 ! [V_C_2,V_B_2,V_A_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Un__Diff__Int,axiom,
% 164.34/164.96 ! [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 ).
% 164.34/164.96
% 164.34/164.96 fof(fact_equiv__class__subset,axiom,
% 164.34/164.96 ! [V_b_2,V_aa_2,V_r_2,V_A_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),V_r_2))
% 164.34/164.96 => 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_aa_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)))))) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_rev__ImageI,axiom,
% 164.34/164.96 ! [V_r_2,V_b_2,T_c,V_A_2,V_aa_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_b_2)),V_r_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_OImage(T_b,T_c,V_r_2),V_A_2))) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Image__iff,axiom,
% 164.34/164.96 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 164.34/164.96 <=> ? [B_x] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 164.34/164.96 & 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)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_eq__equiv__class__iff2,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 164.34/164.96 => ( 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)
% 164.34/164.96 <=> 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)) ) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Image__Int__subset,axiom,
% 164.34/164.96 ! [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)))) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_surj__id,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inv__id,axiom,
% 164.34/164.96 ! [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) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__def,axiom,
% 164.34/164.96 ! [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))) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__Collect,axiom,
% 164.34/164.96 ! [V_Pa_2,V_A_2,V_x_2,T_b] :
% 164.34/164.96 ( 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_Pa_2))))
% 164.34/164.96 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.96 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_fold__graph_OinsertI,axiom,
% 164.34/164.96 ! [V_y_2,V_z_2,V_f_2,T_c,V_A_2,V_x_2,T_b] :
% 164.34/164.96 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.96 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 164.34/164.96 => 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))) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_subset__equiv__class,axiom,
% 164.34/164.96 ! [V_aa_2,V_b_2,V_r_2,V_A_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.96 => ( 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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),V_r_2)) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inj__on__image__Int,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,V_C_2,V_f_2,T_c,T_b] :
% 164.34/164.96 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_C_2))
% 164.34/164.96 => 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)) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_image__Int,axiom,
% 164.34/164.96 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.96 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_image__vimage__eq,axiom,
% 164.34/164.96 ! [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)))) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_if__image__distrib,axiom,
% 164.34/164.96 ! [V_S_2,V_g_2,V_f_2,V_Pa_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_Pa_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_Pa_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_Pa_2))))) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Image__singleton__iff,axiom,
% 164.34/164.96 ! [V_aa_2,V_r_2,T_c,V_b_2,T_b] :
% 164.34/164.96 ( 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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))))))
% 164.34/164.96 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_aa_2),V_b_2)),V_r_2)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_in__rel__def,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,V_R_2,T_c,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_FunDef_Oin__rel(T_b,T_c,V_R_2),V_x_2),V_y_2))
% 164.34/164.96 <=> 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Nitpick_Orefl_H__def,axiom,
% 164.34/164.96 ! [V_r_2,T_b] :
% 164.34/164.96 ( c_Nitpick_Orefl_H(T_b,V_r_2)
% 164.34/164.96 <=> ! [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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_UN__equiv__class,axiom,
% 164.34/164.96 ! [V_aa_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.96 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.96 => 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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),V_f_2) = hAPP(V_f_2,V_aa_2) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_UN__equiv__class2,axiom,
% 164.34/164.96 ! [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] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 164.34/164.96 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 164.34/164.96 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_a1_2),V_A1_2))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_a2_2),V_A2_2))
% 164.34/164.96 => 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) ) ) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_irrefl__def,axiom,
% 164.34/164.96 ! [V_r_2,T_b] :
% 164.34/164.96 ( c_Relation_Oirrefl(T_b,V_r_2)
% 164.34/164.96 <=> ! [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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_fold1Set_Ointros,axiom,
% 164.34/164.96 ! [V_x_2,V_A_2,V_aa_2,V_f_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,V_aa_2,V_A_2),V_x_2))
% 164.34/164.96 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.96 => hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2)),V_x_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_equivp__equiv,axiom,
% 164.34/164.96 ! [V_A_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_A_2)
% 164.34/164.96 <=> 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_congruent2__implies__congruent__UN,axiom,
% 164.34/164.96 ! [V_aa_2,V_f_2,T_d,V_r2_2,V_A2_2,T_c,V_r1_2,V_A1_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 164.34/164.96 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 164.34/164.96 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_aa_2),V_A2_2))
% 164.34/164.96 => 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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)))))),V_f_2)) ) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_sup2CI,axiom,
% 164.34/164.96 ! [T_c,T_b,V_A_2,V_y_2,V_x_2,V_B_2] :
% 164.34/164.96 ( ( ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) )
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_sup2E,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 => ( ~ hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_bot2E,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_SUP2__iff,axiom,
% 164.34/164.96 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 164.34/164.96 ( 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_ca_2))
% 164.34/164.96 <=> ? [B_x] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.96 & hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_sup2I2,axiom,
% 164.34/164.96 ! [V_A_2,T_c,T_b,V_y_2,V_x_2,V_B_2] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_sup2I1,axiom,
% 164.34/164.96 ! [V_B_2,T_c,T_b,V_y_2,V_x_2,V_A_2] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_rev__predicate2D,axiom,
% 164.34/164.96 ! [V_Qa_2,T_c,T_b,V_y_2,V_x_2,V_Pa_2] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Qa_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_predicate2D,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,V_Qa_2,V_Pa_2,T_c,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),V_Pa_2),V_Qa_2))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(V_Qa_2,V_x_2),V_y_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_equivp__transp,axiom,
% 164.34/164.96 ! [V_z_2,V_y_2,V_x_2,V_R_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_z_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_z_2)) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_equivp__symp,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,V_R_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_y_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(V_R_2,V_y_2),V_x_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_equivp__reflp,axiom,
% 164.34/164.96 ! [V_x_2,V_R_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 164.34/164.96 => hBOOL(hAPP(hAPP(V_R_2,V_x_2),V_x_2)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_equivp__def,axiom,
% 164.34/164.96 ! [V_R_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 164.34/164.96 <=> ! [B_x,B_y] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(V_R_2,B_x),B_y))
% 164.34/164.96 <=> hAPP(V_R_2,B_x) = hAPP(V_R_2,B_y) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_identity__equivp,axiom,
% 164.34/164.96 ! [T_b] : c_Equiv__Relations_Oequivp(T_b,c_fequal) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_fold1Set__nonempty,axiom,
% 164.34/164.96 ! [V_x_2,V_A_2,V_f_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,V_A_2),V_x_2))
% 164.34/164.96 => V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_empty__fold1SetE,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf__Int__eq2,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,V_S_2,V_R_2,T_c,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 <=> 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))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_congruent2__implies__congruent,axiom,
% 164.34/164.96 ! [V_aa_2,V_f_2,V_r2_2,T_d,T_c,V_r1_2,V_A_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r1_2)
% 164.34/164.96 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.96 => c_Equiv__Relations_Ocongruent(T_c,T_d,V_r2_2,hAPP(V_f_2,V_aa_2)) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_fold1Set__sing,axiom,
% 164.34/164.96 ! [V_b_2,V_aa_2,V_f_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),V_b_2))
% 164.34/164.96 <=> V_aa_2 = V_b_2 ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_congruent2D,axiom,
% 164.34/164.96 ! [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] :
% 164.34/164.96 ( c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2)
% 164.34/164.96 => ( 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))
% 164.34/164.96 => ( 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))
% 164.34/164.96 => hAPP(hAPP(V_f_2,V_y1_2),V_y2_2) = hAPP(hAPP(V_f_2,V_z1_2),V_z2_2) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_congruentD,axiom,
% 164.34/164.96 ! [V_z_2,V_y_2,V_f_2,V_r_2,T_c,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 164.34/164.96 => ( 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))
% 164.34/164.96 => hAPP(V_f_2,V_y_2) = hAPP(V_f_2,V_z_2) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_UN__equiv__class__inject,axiom,
% 164.34/164.96 ! [V_Ya_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.96 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 164.34/164.96 => ( 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_Ya_2),V_f_2)
% 164.34/164.96 => ( 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)))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_Ya_2),hAPP(hAPP(c_Equiv__Relations_Oquotient(T_b),V_A_2),V_r_2)))
% 164.34/164.96 => ( ! [B_x] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.96 => ! [B_y] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 164.34/164.96 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 164.34/164.96 => 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)) ) ) )
% 164.34/164.96 => V_X_2 = V_Ya_2 ) ) ) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_UN__equiv__class__type2,axiom,
% 164.34/164.96 ! [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] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A1_2,V_r1_2)
% 164.34/164.96 => ( c_Equiv__Relations_Oequiv(T_c,V_A2_2,V_r2_2)
% 164.34/164.96 => ( c_Equiv__Relations_Ocongruent2(T_b,T_c,tc_fun(T_d,tc_HOL_Obool),V_r1_2,V_r2_2,V_f_2)
% 164.34/164.96 => ( 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)))
% 164.34/164.96 => ( 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)))
% 164.34/164.96 => ( ! [B_x1] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x1),V_A1_2))
% 164.34/164.96 => ! [B_x2] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x2),V_A2_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(V_f_2,B_x1),B_x2)),V_B_2)) ) )
% 164.34/164.96 => 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)) ) ) ) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_UN__equiv__class__type,axiom,
% 164.34/164.96 ! [V_B_2,V_X_2,V_f_2,T_c,V_r_2,V_A_2,T_b] :
% 164.34/164.96 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.96 => ( c_Equiv__Relations_Ocongruent(T_b,tc_fun(T_c,tc_HOL_Obool),V_r_2,V_f_2)
% 164.34/164.96 => ( 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)))
% 164.34/164.96 => ( ! [B_x] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(c_member(tc_fun(T_c,tc_HOL_Obool)),hAPP(V_f_2,B_x)),V_B_2)) )
% 164.34/164.96 => 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)) ) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_ImageE,axiom,
% 164.34/164.96 ! [V_A_2,V_r_2,T_c,V_b_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)))
% 164.34/164.96 => ~ ! [B_x] :
% 164.34/164.96 ( 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))
% 164.34/164.96 => ~ hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Field__insert,axiom,
% 164.34/164.96 ! [V_r_2,V_b_2,V_aa_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_aa_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_aa_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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_insert__fold1SetE,axiom,
% 164.34/164.96 ! [V_x_2,V_X_2,V_aa_2,V_f_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(c_Finite__Set_Ofold1Set(T_b,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_X_2)),V_x_2))
% 164.34/164.96 => ~ ! [B_a,B_A] :
% 164.34/164.96 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_X_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 164.34/164.96 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_x_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_fold1Set_Oequations,axiom,
% 164.34/164.96 ! [V_a3_2,V_a2_2,V_a1_2,V_f_2,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 <=> ? [B_a,B_A] :
% 164.34/164.96 ( hAPP(hAPP(c_Set_Oinsert(T_b),V_a1_2),V_a2_2) = hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_A)
% 164.34/164.96 & hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,V_f_2,B_a,B_A),V_a3_2))
% 164.34/164.96 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Id__on__def,axiom,
% 164.34/164.96 ! [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)))) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf2I,axiom,
% 164.34/164.96 ! [T_c,T_b,V_B_2,V_y_2,V_x_2,V_A_2] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2))
% 164.34/164.96 => 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)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf2E,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 => ~ ( hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2))
% 164.34/164.96 => ~ hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf2D1,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 => hBOOL(hAPP(hAPP(V_A_2,V_x_2),V_y_2)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inf2D2,axiom,
% 164.34/164.96 ! [V_y_2,V_x_2,V_B_2,V_A_2,T_c,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 => hBOOL(hAPP(hAPP(V_B_2,V_x_2),V_y_2)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Id__on__empty,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Image__Id__on,axiom,
% 164.34/164.96 ! [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) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Field__empty,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_mono__Field,axiom,
% 164.34/164.96 ! [V_s_2,V_r_2,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 => 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))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Field__Un,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Id__on__iff,axiom,
% 164.34/164.96 ! [V_A_2,V_y_2,V_x_2,T_b] :
% 164.34/164.96 ( 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)))
% 164.34/164.96 <=> ( V_x_2 = V_y_2
% 164.34/164.96 & hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Id__on__eqI,axiom,
% 164.34/164.96 ! [V_A_2,T_b,V_b_2,V_aa_2] :
% 164.34/164.96 ( V_aa_2 = V_b_2
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),c_Relation_OId__on(T_b,V_A_2))) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Id__onE,axiom,
% 164.34/164.96 ! [V_A_2,V_ca_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_ca_2),c_Relation_OId__on(T_b,V_A_2)))
% 164.34/164.96 => ~ ! [B_x] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.96 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_fold__graph__permute__diff,axiom,
% 164.34/164.96 ! [V_aa_2,V_x_2,V_A_2,V_b_2,T_b] :
% 164.34/164.96 ( class_Groups_Oab__semigroup__mult(T_b)
% 164.34/164.96 => ( 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))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.96 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 164.34/164.96 => hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),V_aa_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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))),V_x_2)) ) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Int__Collect__mono,axiom,
% 164.34/164.96 ! [V_Qa_2,V_Pa_2,V_B_2,V_A_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.96 => ( ! [B_x] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.96 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 164.34/164.96 => hBOOL(hAPP(V_Qa_2,B_x)) ) )
% 164.34/164.96 => 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_Pa_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_Qa_2)))) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_same__fstI,axiom,
% 164.34/164.96 ! [T_b,V_R_2,V_y_2,V_y_H_2,T_c,V_x_2,V_Pa_2] :
% 164.34/164.96 ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.34/164.96 => ( 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)))
% 164.34/164.96 => 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_Pa_2,V_R_2))) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_total__on__def,axiom,
% 164.34/164.96 ! [V_r_2,V_A_2,T_b] :
% 164.34/164.96 ( c_Relation_Ototal__on(T_b,V_A_2,V_r_2)
% 164.34/164.96 <=> ! [B_x] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.96 => ! [B_xa] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 164.34/164.96 => ( B_x != B_xa
% 164.34/164.96 => ( 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))
% 164.34/164.96 | 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)) ) ) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_SUP2__E,axiom,
% 164.34/164.96 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 164.34/164.96 ( 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_ca_2))
% 164.34/164.96 => ~ ! [B_x] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.96 => ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_RangeI,axiom,
% 164.34/164.96 ! [V_r_2,V_b_2,V_aa_2,T_c,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_b_2)),V_r_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_in__measure,axiom,
% 164.34/164.96 ! [V_f_2,V_y_2,V_x_2,T_b] :
% 164.34/164.96 ( 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)))
% 164.34/164.96 <=> 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))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J,axiom,
% 164.34/164.96 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.96 ( class_Groups_Oab__semigroup__mult(T_a)
% 164.34/164.96 => 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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_mult__left__idem,axiom,
% 164.34/164.96 ! [V_b,V_a,T_a] :
% 164.34/164.96 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 164.34/164.96 => 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) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_mult__idem,axiom,
% 164.34/164.96 ! [V_x,T_a] :
% 164.34/164.96 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 164.34/164.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_x),V_x) = V_x ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_times_Oidem,axiom,
% 164.34/164.96 ! [V_a,T_a] :
% 164.34/164.96 ( class_Lattices_Oab__semigroup__idem__mult(T_a)
% 164.34/164.96 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_a) = V_a ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Suc__mult__cancel1,axiom,
% 164.34/164.96 ! [V_n_2,V_m_2,V_k_2] :
% 164.34/164.96 ( 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)
% 164.34/164.96 <=> V_m_2 = V_n_2 ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_le__square,axiom,
% 164.34/164.96 ! [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))) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_le__cube,axiom,
% 164.34/164.96 ! [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)))) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_mult__le__mono1,axiom,
% 164.34/164.96 ! [V_k,V_j,V_i] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 164.34/164.96 => 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))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_mult__le__mono2,axiom,
% 164.34/164.96 ! [V_k,V_j,V_i] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 164.34/164.96 => 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))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_mult__le__mono,axiom,
% 164.34/164.96 ! [V_l,V_k,V_j,V_i] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 164.34/164.96 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 164.34/164.96 => 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))) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_diff__mult__distrib2,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_diff__mult__distrib,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_fun__left__comm__idem,axiom,
% 164.34/164.96 ! [T_b] :
% 164.34/164.96 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 164.34/164.96 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Range__Id__on,axiom,
% 164.34/164.96 ! [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 ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Suc__mult__less__cancel1,axiom,
% 164.34/164.96 ! [V_n_2,V_m_2,V_k_2] :
% 164.34/164.96 ( 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)))
% 164.34/164.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Suc__mult__le__cancel1,axiom,
% 164.34/164.96 ! [V_n_2,V_m_2,V_k_2] :
% 164.34/164.96 ( 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)))
% 164.34/164.96 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Range__Diff__subset,axiom,
% 164.34/164.96 ! [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)))) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Range__empty__iff,axiom,
% 164.34/164.96 ! [V_r_2,T_b,T_c] :
% 164.34/164.96 ( hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.96 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Range__empty,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_total__on__empty,axiom,
% 164.34/164.96 ! [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) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Range__Un__eq,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_fold__graph__insert__swap,axiom,
% 164.34/164.96 ! [V_z_2,V_y_2,V_A_2,V_b_2,T_b] :
% 164.34/164.96 ( class_Groups_Oab__semigroup__mult(T_b)
% 164.34/164.96 => ( 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))
% 164.34/164.96 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),V_A_2))
% 164.34/164.96 => 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))) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Range__iff,axiom,
% 164.34/164.96 ! [V_r_2,T_c,V_aa_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 164.34/164.96 <=> ? [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_aa_2)),V_r_2)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Range__insert,axiom,
% 164.34/164.96 ! [V_r_2,V_b_2,V_aa_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_aa_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)) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_Range__Int__subset,axiom,
% 164.34/164.96 ! [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)))) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_in__lex__prod,axiom,
% 164.34/164.96 ! [V_s_2,V_r_2,V_b_H_2,V_a_H_2,V_b_2,V_aa_2,T_c,T_b] :
% 164.34/164.96 ( 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_aa_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)))
% 164.34/164.96 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_a_H_2)),V_r_2))
% 164.34/164.96 | ( V_aa_2 = V_a_H_2
% 164.34/164.96 & 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)) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_RangeP__Range__eq,axiom,
% 164.34/164.96 ! [V_x_2,V_r_2,T_c,T_b] :
% 164.34/164.96 ( 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))
% 164.34/164.96 <=> hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_mlex__leq,axiom,
% 164.34/164.96 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 164.34/164.96 ( 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)))
% 164.34/164.96 => ( 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))
% 164.34/164.96 => 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))) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_mlex__less,axiom,
% 164.34/164.96 ! [V_R_2,T_b,V_y_2,V_x_2,V_f_2] :
% 164.34/164.96 ( 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)))
% 164.34/164.96 => 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))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_RangeE,axiom,
% 164.34/164.96 ! [V_r_2,T_c,V_b_2,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(c_Relation_ORange(T_c,T_b),V_r_2)))
% 164.34/164.96 => ~ ! [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)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_bij__image__Collect__eq,axiom,
% 164.34/164.96 ! [V_Pa_2,V_f_2,T_c,T_b] :
% 164.34/164.96 ( 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)))
% 164.34/164.96 => hAPP(c_Set_Oimage(T_b,T_c,V_f_2),hAPP(c_Set_OCollect(T_b),V_Pa_2)) = hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),V_Pa_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))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_DomainI,axiom,
% 164.34/164.96 ! [V_r_2,V_b_2,V_aa_2,T_c,T_b] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_b_2)),V_r_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_vimage__if,axiom,
% 164.34/164.96 ! [V_B_2,T_c,V_d_2,V_A_2,V_ca_2,T_b] :
% 164.34/164.96 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.96 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 164.34/164.96 => 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_ca_2)),V_d_2)),V_A_2) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 164.34/164.96 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 164.34/164.96 => 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_ca_2)),V_d_2)),V_A_2) = V_B_2 ) ) )
% 164.34/164.96 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.96 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 164.34/164.96 => 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_ca_2)),V_d_2)),V_A_2) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),V_B_2) )
% 164.34/164.96 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_d_2),V_A_2))
% 164.34/164.96 => 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_ca_2)),V_d_2)),V_A_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_RangeP_Ointros,axiom,
% 164.34/164.96 ! [T_c,T_b,V_b_2,V_aa_2,V_r_2] :
% 164.34/164.96 ( hBOOL(hAPP(hAPP(V_r_2,V_aa_2),V_b_2))
% 164.34/164.96 => hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_b_2)) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_inj__uminus,axiom,
% 164.34/164.96 ! [V_A_2,T_b] :
% 164.34/164.96 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/164.96 => c_Fun_Oinj__on(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b),V_A_2) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_ComplI,axiom,
% 164.34/164.96 ! [V_A_2,V_ca_2,T_b] :
% 164.34/164.96 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2))
% 164.34/164.96 => hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2))) ) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_bij__betw__id,axiom,
% 164.34/164.96 ! [V_A_2,T_b] : c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_A_2) ).
% 164.34/164.96
% 164.34/164.96 fof(fact_nat__mult__assoc,axiom,
% 164.34/164.96 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_nat__mult__commute,axiom,
% 164.34/164.97 ! [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) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_double__complement,axiom,
% 164.34/164.97 ! [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 ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Compl__eq__Compl__iff,axiom,
% 164.34/164.97 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.97 ( 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)
% 164.34/164.97 <=> V_A_2 = V_B_2 ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_minus__minus,axiom,
% 164.34/164.97 ! [V_a,T_a] :
% 164.34/164.97 ( class_Groups_Ogroup__add(T_a)
% 164.34/164.97 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)) = V_a ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_double__compl,axiom,
% 164.34/164.97 ! [V_x,T_a] :
% 164.34/164.97 ( class_Lattices_Oboolean__algebra(T_a)
% 164.34/164.97 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x)) = V_x ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_uminus__apply,axiom,
% 164.34/164.97 ! [V_x_2,V_A_2,T_c,T_b] :
% 164.34/164.97 ( class_Groups_Ouminus(T_b)
% 164.34/164.97 => 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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_equation__minus__iff,axiom,
% 164.34/164.97 ! [V_b_2,V_aa_2,T_b] :
% 164.34/164.97 ( class_Groups_Ogroup__add(T_b)
% 164.34/164.97 => ( V_aa_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 164.34/164.97 <=> V_b_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_minus__equation__iff,axiom,
% 164.34/164.97 ! [V_b_2,V_aa_2,T_b] :
% 164.34/164.97 ( class_Groups_Ogroup__add(T_b)
% 164.34/164.97 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2) = V_b_2
% 164.34/164.97 <=> hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) = V_aa_2 ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_neg__equal__iff__equal,axiom,
% 164.34/164.97 ! [V_b_2,V_aa_2,T_b] :
% 164.34/164.97 ( class_Groups_Ogroup__add(T_b)
% 164.34/164.97 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 164.34/164.97 <=> V_aa_2 = V_b_2 ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_compl__eq__compl__iff,axiom,
% 164.34/164.97 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.97 ( class_Lattices_Oboolean__algebra(T_b)
% 164.34/164.97 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_y_2)
% 164.34/164.97 <=> V_x_2 = V_y_2 ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_fun__Compl__def,axiom,
% 164.34/164.97 ! [V_x_2,V_A_2,T_c,T_b] :
% 164.34/164.97 ( class_Groups_Ouminus(T_b)
% 164.34/164.97 => 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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_RangeP_Oequations,axiom,
% 164.34/164.97 ! [V_a2_2,V_r_2,T_c,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Predicate_ORangeP(T_b,T_c,V_r_2),V_a2_2))
% 164.34/164.97 <=> ? [B_a] : hBOOL(hAPP(hAPP(V_r_2,B_a),V_a2_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__image__Compl__eq,axiom,
% 164.34/164.97 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => 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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_compl__mono,axiom,
% 164.34/164.97 ! [V_y,V_x,T_a] :
% 164.34/164.97 ( class_Lattices_Oboolean__algebra(T_a)
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.34/164.97 => 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))) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_le__imp__neg__le,axiom,
% 164.34/164.97 ! [V_b,V_a,T_a] :
% 164.34/164.97 ( class_Groups_Oordered__ab__group__add(T_a)
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.34/164.97 => 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))) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_compl__le__compl__iff,axiom,
% 164.34/164.97 ! [V_y_2,V_x_2,T_b] :
% 164.34/164.97 ( class_Lattices_Oboolean__algebra(T_b)
% 164.34/164.97 => ( 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)))
% 164.34/164.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_neg__le__iff__le,axiom,
% 164.34/164.97 ! [V_aa_2,V_b_2,T_b] :
% 164.34/164.97 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/164.97 => ( 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_aa_2)))
% 164.34/164.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),V_b_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_minus__le__iff,axiom,
% 164.34/164.97 ! [V_b_2,V_aa_2,T_b] :
% 164.34/164.97 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2)),V_b_2))
% 164.34/164.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_aa_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_le__minus__iff,axiom,
% 164.34/164.97 ! [V_b_2,V_aa_2,T_b] :
% 164.34/164.97 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 164.34/164.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2))) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_neg__less__iff__less,axiom,
% 164.34/164.97 ! [V_aa_2,V_b_2,T_b] :
% 164.34/164.97 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/164.97 => ( 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_aa_2)))
% 164.34/164.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),V_b_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_minus__less__iff,axiom,
% 164.34/164.97 ! [V_b_2,V_aa_2,T_b] :
% 164.34/164.97 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2)),V_b_2))
% 164.34/164.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)),V_aa_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_less__minus__iff,axiom,
% 164.34/164.97 ! [V_b_2,V_aa_2,T_b] :
% 164.34/164.97 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)))
% 164.34/164.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2))) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Compl__iff,axiom,
% 164.34/164.97 ! [V_A_2,V_ca_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 164.34/164.97 <=> ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_ComplD,axiom,
% 164.34/164.97 ! [V_A_2,V_ca_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 164.34/164.97 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_ComplE,axiom,
% 164.34/164.97 ! [V_A_2,V_ca_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 164.34/164.97 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_ca_2),V_A_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_minus__diff__eq,axiom,
% 164.34/164.97 ! [V_b,V_a,T_a] :
% 164.34/164.97 ( class_Groups_Oab__group__add(T_a)
% 164.34/164.97 => 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) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__betw__empty1,axiom,
% 164.34/164.97 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( 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)
% 164.34/164.97 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__betw__empty2,axiom,
% 164.34/164.97 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Compl__subset__Compl__iff,axiom,
% 164.34/164.97 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Compl__anti__mono,axiom,
% 164.34/164.97 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.97 => 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))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__betw__trans,axiom,
% 164.34/164.97 ! [V_C_2,V_g_2,T_d,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 164.34/164.97 => ( c_Fun_Obij__betw(T_c,T_d,V_g_2,V_B_2,V_C_2)
% 164.34/164.97 => 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) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__betw__comp__iff,axiom,
% 164.34/164.97 ! [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] :
% 164.34/164.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 164.34/164.97 => ( c_Fun_Obij__betw(T_c,T_d,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 164.34/164.97 <=> 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) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__betw__imp__inj__on,axiom,
% 164.34/164.97 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 164.34/164.97 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__betw__id__iff,axiom,
% 164.34/164.97 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.97 ( c_Fun_Obij__betw(T_b,T_b,c_Fun_Oid(T_b),V_A_2,V_B_2)
% 164.34/164.97 <=> V_A_2 = V_B_2 ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_vimage__Compl,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__betw__inv__into,axiom,
% 164.34/164.97 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 164.34/164.97 => 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) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__betw__the__inv__into,axiom,
% 164.34/164.97 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 164.34/164.97 => 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) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Collect__neg__eq,axiom,
% 164.34/164.97 ! [V_Pa_2,T_b] : hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2)) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OCollect(T_b),V_Pa_2)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Domain__Id__on,axiom,
% 164.34/164.97 ! [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 ).
% 164.34/164.97
% 164.34/164.97 fof(fact_inf__compl__bot,axiom,
% 164.34/164.97 ! [V_x,T_a] :
% 164.34/164.97 ( class_Lattices_Oboolean__algebra(T_a)
% 164.34/164.97 => 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) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_compl__inf__bot,axiom,
% 164.34/164.97 ! [V_x,T_a] :
% 164.34/164.97 ( class_Lattices_Oboolean__algebra(T_a)
% 164.34/164.97 => 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) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_compl__top__eq,axiom,
% 164.34/164.97 ! [T_a] :
% 164.34/164.97 ( class_Lattices_Oboolean__algebra(T_a)
% 164.34/164.97 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Otop__class_Otop(T_a)) = c_Orderings_Obot__class_Obot(T_a) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_compl__bot__eq,axiom,
% 164.34/164.97 ! [T_a] :
% 164.34/164.97 ( class_Lattices_Oboolean__algebra(T_a)
% 164.34/164.97 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Orderings_Obot__class_Obot(T_a)) = c_Orderings_Otop__class_Otop(T_a) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_diff__eq,axiom,
% 164.34/164.97 ! [V_y,V_x,T_a] :
% 164.34/164.97 ( class_Lattices_Oboolean__algebra(T_a)
% 164.34/164.97 => 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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_compl__inf,axiom,
% 164.34/164.97 ! [V_y,V_x,T_a] :
% 164.34/164.97 ( class_Lattices_Oboolean__algebra(T_a)
% 164.34/164.97 => 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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_compl__sup,axiom,
% 164.34/164.97 ! [V_y,V_x,T_a] :
% 164.34/164.97 ( class_Lattices_Oboolean__algebra(T_a)
% 164.34/164.97 => 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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_sup__compl__top,axiom,
% 164.34/164.97 ! [V_x,T_a] :
% 164.34/164.97 ( class_Lattices_Oboolean__algebra(T_a)
% 164.34/164.97 => 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) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_compl__sup__top,axiom,
% 164.34/164.97 ! [V_x,T_a] :
% 164.34/164.97 ( class_Lattices_Oboolean__algebra(T_a)
% 164.34/164.97 => 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) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_subset__Compl__self__eq,axiom,
% 164.34/164.97 ! [V_A_2,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 <=> V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Compl__empty__eq,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Compl__UNIV__eq,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Compl__disjoint,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Compl__disjoint2,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__betw__subset,axiom,
% 164.34/164.97 ! [V_B_H_2,V_B_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.34/164.97 => ( hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_B_2) = V_B_H_2
% 164.34/164.97 => c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__is__surj,axiom,
% 164.34/164.97 ! [V_f_2,T_c,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => 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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__betw__imp__surj,axiom,
% 164.34/164.97 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => 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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__comp,axiom,
% 164.34/164.97 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => ( 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)))
% 164.34/164.97 => 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))) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Compl__partition,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Compl__partition2,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Compl__Int,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Compl__Un,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Compl__eq__Diff__UNIV,axiom,
% 164.34/164.97 ! [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) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_inj__on__imp__bij__betw,axiom,
% 164.34/164.97 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.97 => 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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__betw__def,axiom,
% 164.34/164.97 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 164.34/164.97 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.97 & hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2) = V_B_2 ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__is__inj,axiom,
% 164.34/164.97 ! [V_f_2,T_c,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Compl__Diff__eq,axiom,
% 164.34/164.97 ! [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) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Diff__eq,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Diff__Compl,axiom,
% 164.34/164.97 ! [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) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__id,axiom,
% 164.34/164.97 ! [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))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_inv__into__inv__into__eq,axiom,
% 164.34/164.97 ! [V_aa_2,V_A_H_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.97 => 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_aa_2) = hAPP(V_f_2,V_aa_2) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_inv__inv__eq,axiom,
% 164.34/164.97 ! [V_f_2,T_c,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => 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 ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__imp__bij__inv,axiom,
% 164.34/164.97 ! [V_f_2,T_c,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => 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))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Compl__eq,axiom,
% 164.34/164.97 ! [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))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Collect__imp__eq,axiom,
% 164.34/164.97 ! [V_Qa_2,V_Pa_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_Pa_2)),V_Qa_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_Pa_2))),hAPP(c_Set_OCollect(T_b),V_Qa_2)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Domain__Diff__subset,axiom,
% 164.34/164.97 ! [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)))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Domain__empty,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Domain__empty__iff,axiom,
% 164.34/164.97 ! [V_r_2,T_c,T_b] :
% 164.34/164.97 ( hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.97 <=> V_r_2 = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Domain__mono,axiom,
% 164.34/164.97 ! [V_s_2,V_r_2,T_c,T_b] :
% 164.34/164.97 ( 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))
% 164.34/164.97 => 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))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Domain__Un__eq,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_disjoint__eq__subset__Compl,axiom,
% 164.34/164.97 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.97 ( 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))
% 164.34/164.97 <=> 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))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__betw__Disj__Un,axiom,
% 164.34/164.97 ! [V_f_2,V_B_H_2,V_A_H_2,T_c,V_B_2,V_A_2,T_b] :
% 164.34/164.97 ( 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))
% 164.34/164.97 => ( 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))
% 164.34/164.97 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_A_H_2)
% 164.34/164.97 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_B_2,V_B_H_2)
% 164.34/164.97 => 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)) ) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__betw__combine,axiom,
% 164.34/164.97 ! [V_D_2,V_C_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 164.34/164.97 => ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_C_2,V_D_2)
% 164.34/164.97 => ( 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))
% 164.34/164.97 => 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)) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_surj__Compl__image__subset,axiom,
% 164.34/164.97 ! [V_A_2,V_f_2,T_b,T_c] :
% 164.34/164.97 ( 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))
% 164.34/164.97 => 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)))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__betw__comp__iff2,axiom,
% 164.34/164.97 ! [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] :
% 164.34/164.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_H_2,V_A_H_2,V_A_H_H_2)
% 164.34/164.97 => ( 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))
% 164.34/164.97 => ( c_Fun_Obij__betw(T_d,T_b,V_f_2,V_A_2,V_A_H_2)
% 164.34/164.97 <=> 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) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bijI,axiom,
% 164.34/164.97 ! [V_f_2,T_c,T_b] :
% 164.34/164.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.97 => ( 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))
% 164.34/164.97 => 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))) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__def,axiom,
% 164.34/164.97 ! [V_f_2,T_c,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 <=> ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.97 & 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)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_o__inv__distrib,axiom,
% 164.34/164.97 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => ( 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)))
% 164.34/164.97 => 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)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Domain__iff,axiom,
% 164.34/164.97 ! [V_r_2,T_c,V_aa_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 164.34/164.97 <=> ? [B_y] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),B_y)),V_r_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Domain__insert,axiom,
% 164.34/164.97 ! [V_r_2,V_b_2,V_aa_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_aa_2),V_b_2)),V_r_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_compl__unique,axiom,
% 164.34/164.97 ! [V_y,V_x,T_a] :
% 164.34/164.97 ( class_Lattices_Oboolean__algebra(T_a)
% 164.34/164.97 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_y) = c_Orderings_Obot__class_Obot(T_a)
% 164.34/164.97 => ( hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_y) = c_Orderings_Otop__class_Otop(T_a)
% 164.34/164.97 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_x) = V_y ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Domain__Int__subset,axiom,
% 164.34/164.97 ! [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)))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_inj__image__Compl__subset,axiom,
% 164.34/164.97 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.97 => 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)))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_vimage__subset__eq,axiom,
% 164.34/164.97 ! [V_A_2,V_B_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => ( 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))
% 164.34/164.97 <=> 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))) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Field__def,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__vimage__eq__inv__image,axiom,
% 164.34/164.97 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => 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) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_DomainP__Domain__eq,axiom,
% 164.34/164.97 ! [V_x_2,V_r_2,T_c,T_b] :
% 164.34/164.97 ( 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))
% 164.34/164.97 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_minus__mult__right,axiom,
% 164.34/164.97 ! [V_b,V_a,T_a] :
% 164.34/164.97 ( class_Rings_Oring(T_a)
% 164.34/164.97 => 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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_minus__mult__left,axiom,
% 164.34/164.97 ! [V_b,V_a,T_a] :
% 164.34/164.97 ( class_Rings_Oring(T_a)
% 164.34/164.97 => 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) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_minus__mult__commute,axiom,
% 164.34/164.97 ! [V_b,V_a,T_a] :
% 164.34/164.97 ( class_Rings_Oring(T_a)
% 164.34/164.97 => 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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_minus__mult__minus,axiom,
% 164.34/164.97 ! [V_b,V_a,T_a] :
% 164.34/164.97 ( class_Rings_Oring(T_a)
% 164.34/164.97 => 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) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_square__eq__iff,axiom,
% 164.34/164.97 ! [V_b_2,V_aa_2,T_b] :
% 164.34/164.97 ( class_Rings_Oidom(T_b)
% 164.34/164.97 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_aa_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_b_2)
% 164.34/164.97 <=> ( V_aa_2 = V_b_2
% 164.34/164.97 | V_aa_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_DomainE,axiom,
% 164.34/164.97 ! [V_r_2,T_c,V_aa_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2)))
% 164.34/164.97 => ~ ! [B_y] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),B_y)),V_r_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__Un,axiom,
% 164.34/164.97 ! [V_s_2,V_r_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.97 => ( c_Wellfounded_Owf(T_b,V_s_2)
% 164.34/164.97 => ( 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))
% 164.34/164.97 => 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)) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_DomainP_Ointros,axiom,
% 164.34/164.97 ! [T_c,T_b,V_b_2,V_aa_2,V_r_2] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(V_r_2,V_aa_2),V_b_2))
% 164.34/164.97 => hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_aa_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__empty,axiom,
% 164.34/164.97 ! [T_b] : c_Wellfounded_Owf(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__lex__prod,axiom,
% 164.34/164.97 ! [V_rb_2,T_c,V_ra_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_ra_2)
% 164.34/164.97 => ( c_Wellfounded_Owf(T_c,V_rb_2)
% 164.34/164.97 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_ra_2,V_rb_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__measure,axiom,
% 164.34/164.97 ! [V_f_2,T_b] : c_Wellfounded_Owf(T_b,hAPP(c_Wellfounded_Omeasure(T_b),V_f_2)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__subset,axiom,
% 164.34/164.97 ! [V_p_2,V_r_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.97 => ( 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))
% 164.34/164.97 => c_Wellfounded_Owf(T_b,V_p_2) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__Int1,axiom,
% 164.34/164.97 ! [V_r_H_2,V_r_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.97 => 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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__Int2,axiom,
% 164.34/164.97 ! [V_r_H_2,V_r_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.97 => 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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__mlex,axiom,
% 164.34/164.97 ! [V_f_2,V_R_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_R_2)
% 164.34/164.97 => c_Wellfounded_Owf(T_b,c_Wellfounded_Omlex__prod(T_b,V_f_2,V_R_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__not__refl,axiom,
% 164.34/164.97 ! [V_aa_2,V_r_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.97 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_aa_2)),V_r_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__not__sym,axiom,
% 164.34/164.97 ! [V_x_2,V_aa_2,V_r_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_x_2)),V_r_2))
% 164.34/164.97 => ~ 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_aa_2)),V_r_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__asym,axiom,
% 164.34/164.97 ! [V_x_2,V_aa_2,V_r_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_x_2)),V_r_2))
% 164.34/164.97 => ~ 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_aa_2)),V_r_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__irrefl,axiom,
% 164.34/164.97 ! [V_aa_2,V_r_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.97 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_aa_2)),V_r_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__iff__no__infinite__down__chain,axiom,
% 164.34/164.97 ! [V_r_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.97 <=> ~ ? [B_f] :
% 164.34/164.97 ! [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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wfE__pf,axiom,
% 164.34/164.97 ! [V_A_2,V_R_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_R_2)
% 164.34/164.97 => ( 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)))
% 164.34/164.97 => V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_linorder__neqE__linordered__idom,axiom,
% 164.34/164.97 ! [V_y,V_x,T_a] :
% 164.34/164.97 ( class_Rings_Olinordered__idom(T_a)
% 164.34/164.97 => ( V_x != V_y
% 164.34/164.97 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 164.34/164.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_x)) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Cantor__Bernstein,axiom,
% 164.34/164.97 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.97 => ( 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))
% 164.34/164.97 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 164.34/164.97 => ( 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))
% 164.34/164.97 => ? [B_h] : c_Fun_Obij__betw(T_b,T_c,B_h,V_A_2,V_B_2) ) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wfI__pf,axiom,
% 164.34/164.97 ! [V_R_2,T_b] :
% 164.34/164.97 ( ! [B_A] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => B_A = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 164.34/164.97 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wfP__wf__eq,axiom,
% 164.34/164.97 ! [V_r_2,T_b] :
% 164.34/164.97 ( 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))
% 164.34/164.97 <=> c_Wellfounded_Owf(T_b,V_r_2) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__no__infinite__down__chainE,axiom,
% 164.34/164.97 ! [V_f_2,V_r_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.97 => ~ ! [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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__eq__minimal,axiom,
% 164.34/164.97 ! [V_r_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.97 <=> ! [B_Q] :
% 164.34/164.97 ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 164.34/164.97 => ? [B_x] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_Q))
% 164.34/164.97 & ! [B_y] :
% 164.34/164.97 ( 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))
% 164.34/164.97 => ~ hBOOL(hAPP(hAPP(c_member(T_b),B_y),B_Q)) ) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Pow__Compl,axiom,
% 164.34/164.97 ! [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))))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__in__rel,axiom,
% 164.34/164.97 ! [V_R_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_R_2)
% 164.34/164.97 => c_Wellfounded_OwfP(T_b,c_FunDef_Oin__rel(T_b,T_b,V_R_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wfP__empty,axiom,
% 164.34/164.97 ! [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))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_exE__some,axiom,
% 164.34/164.97 ! [T_b,V_ca_2,V_Pa_2] :
% 164.34/164.97 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 164.34/164.97 => ( V_ca_2 = c_Hilbert__Choice_OEps(T_b,V_Pa_2)
% 164.34/164.97 => hBOOL(hAPP(V_Pa_2,V_ca_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_DomainP_Oequations,axiom,
% 164.34/164.97 ! [V_a1_2,V_r_2,T_c,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Predicate_ODomainP(T_b,T_c,V_r_2),V_a1_2))
% 164.34/164.97 <=> ? [B_x1] : hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_x1)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wfP__subset,axiom,
% 164.34/164.97 ! [V_p_2,V_r_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 164.34/164.97 => ( 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))
% 164.34/164.97 => c_Wellfounded_OwfP(T_b,V_p_2) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__same__fst,axiom,
% 164.34/164.97 ! [T_b,V_R_2,T_c,V_Pa_2] :
% 164.34/164.97 ( ! [B_x] :
% 164.34/164.97 ( hBOOL(hAPP(V_Pa_2,B_x))
% 164.34/164.97 => c_Wellfounded_Owf(T_c,hAPP(V_R_2,B_x)) )
% 164.34/164.97 => c_Wellfounded_Owf(tc_prod(T_b,T_c),c_Recdef_Osame__fst(T_b,T_c,V_Pa_2,V_R_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wfP__SUP,axiom,
% 164.34/164.97 ! [T_b,V_r_2,T_c] :
% 164.34/164.97 ( ! [B_i] : c_Wellfounded_OwfP(T_c,hAPP(V_r_2,B_i))
% 164.34/164.97 => ( ! [B_i,B_j] :
% 164.34/164.97 ( hAPP(V_r_2,B_i) != hAPP(V_r_2,B_j)
% 164.34/164.97 => 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)) )
% 164.34/164.97 => 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)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_irrefl__diff__Id,axiom,
% 164.34/164.97 ! [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))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Inf__binary,axiom,
% 164.34/164.97 ! [V_b_2,V_aa_2,T_b] :
% 164.34/164.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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_aa_2),V_b_2) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_pair__lessI2,axiom,
% 164.34/164.97 ! [V_t_2,V_s_2,V_b_2,V_aa_2] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_aa_2),V_b_2))
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_s_2),V_t_2))
% 164.34/164.97 => 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_aa_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_congruentI,axiom,
% 164.34/164.97 ! [T_c,V_f_2,V_r_2,T_b] :
% 164.34/164.97 ( ! [B_y,B_z] :
% 164.34/164.97 ( 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))
% 164.34/164.97 => hAPP(V_f_2,B_y) = hAPP(V_f_2,B_z) )
% 164.34/164.97 => c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_congruent2I_H,axiom,
% 164.34/164.97 ! [T_d,V_f_2,V_r2_2,T_c,V_r1_2,T_b] :
% 164.34/164.97 ( ! [B_y1,B_z1] :
% 164.34/164.97 ( 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))
% 164.34/164.97 => ! [B_y2,B_z2] :
% 164.34/164.97 ( 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))
% 164.34/164.97 => hAPP(hAPP(V_f_2,B_y1),B_y2) = hAPP(hAPP(V_f_2,B_z1),B_z2) ) )
% 164.34/164.97 => c_Equiv__Relations_Ocongruent2(T_b,T_c,T_d,V_r1_2,V_r2_2,V_f_2) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_InterD,axiom,
% 164.34/164.97 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 164.34/164.97 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_InterE,axiom,
% 164.34/164.97 ! [V_X_2,V_C_2,V_A_2,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 164.34/164.97 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_IdI,axiom,
% 164.34/164.97 ! [V_aa_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_aa_2),V_aa_2)),c_Relation_OId(T_b))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__pair__less,axiom,
% 164.34/164.97 c_Wellfounded_Owf(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_le__Inf__iff,axiom,
% 164.34/164.97 ! [V_A_2,V_b_2,T_b] :
% 164.34/164.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 => ( 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)))
% 164.34/164.97 <=> ! [B_x] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Inf__less__iff,axiom,
% 164.34/164.97 ! [V_aa_2,V_S_2,T_b] :
% 164.34/164.97 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 & class_Orderings_Olinorder(T_b) )
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Complete__Lattice_OInf__class_OInf(T_b,V_S_2)),V_aa_2))
% 164.34/164.97 <=> ? [B_x] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 164.34/164.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_aa_2)) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Image__Id,axiom,
% 164.34/164.97 ! [V_A_2,T_b] : hAPP(c_Relation_OImage(T_b,T_b,c_Relation_OId(T_b)),V_A_2) = V_A_2 ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Inter__lower,axiom,
% 164.34/164.97 ! [V_A_2,V_B_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.34/164.97 => 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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_pair__lessI1,axiom,
% 164.34/164.97 ! [V_t_2,V_s_2,V_b_2,V_aa_2] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_aa_2),V_b_2))
% 164.34/164.97 => 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_aa_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__less)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Inter__anti__mono,axiom,
% 164.34/164.97 ! [V_A_2,V_B_2,T_b] :
% 164.34/164.97 ( 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))
% 164.34/164.97 => 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))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Inter__empty,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Inter__eq,axiom,
% 164.34/164.97 ! [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)))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Inter__insert,axiom,
% 164.34/164.97 ! [V_B_2,V_aa_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_aa_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_aa_2),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_pair__in__Id__conv,axiom,
% 164.34/164.97 ! [V_b_2,V_aa_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),c_Relation_OId(T_b)))
% 164.34/164.97 <=> V_aa_2 = V_b_2 ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Inter__UNIV,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Inf__lower,axiom,
% 164.34/164.97 ! [V_A_2,V_x_2,T_b] :
% 164.34/164.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.97 => 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)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Inter__Un__distrib,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Domain__Id,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Range__Id,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Inf__singleton,axiom,
% 164.34/164.97 ! [V_aa_2,T_b] :
% 164.34/164.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_aa_2 ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Inf__empty,axiom,
% 164.34/164.97 ! [T_b] :
% 164.34/164.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 => 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) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Inf__UNIV,axiom,
% 164.34/164.97 ! [T_b] :
% 164.34/164.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 => 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) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Inf__insert,axiom,
% 164.34/164.97 ! [V_A_2,V_aa_2,T_b] :
% 164.34/164.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_aa_2),c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Id__def,axiom,
% 164.34/164.97 ! [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))))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_total__on__diff__Id,axiom,
% 164.34/164.97 ! [V_r_2,V_A_2,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Int__eq__Inter,axiom,
% 164.34/164.97 ! [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))))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Inter__Un__subset,axiom,
% 164.34/164.97 ! [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_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)))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_reflcl__set__eq,axiom,
% 164.34/164.97 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 164.34/164.97 ( 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))
% 164.34/164.97 <=> 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)))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_pair__leqI2,axiom,
% 164.34/164.97 ! [V_t_2,V_s_2,V_b_2,V_aa_2] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_aa_2),V_b_2))
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_s_2),V_t_2))
% 164.34/164.97 => 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_aa_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_smin__insertI,axiom,
% 164.34/164.97 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 164.34/164.97 => ( 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))
% 164.34/164.97 => ( 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))
% 164.34/164.97 => 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)) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_smax__insertI,axiom,
% 164.34/164.97 ! [V_X_2,V_x_2,V_Ya_2,V_y_2] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_Ya_2))
% 164.34/164.97 => ( 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))
% 164.34/164.97 => ( 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_Ya_2)),c_FunDef_Omax__strict))
% 164.34/164.97 => 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_Ya_2)),c_FunDef_Omax__strict)) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_pair__leqI1,axiom,
% 164.34/164.97 ! [V_t_2,V_s_2,V_b_2,V_aa_2] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_aa_2),V_b_2))
% 164.34/164.97 => 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_aa_2),V_s_2)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_b_2),V_t_2))),c_FunDef_Opair__leq)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Sup__Inf,axiom,
% 164.34/164.97 ! [V_A_2,T_b] :
% 164.34/164.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 => 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)))))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Inf__Sup,axiom,
% 164.34/164.97 ! [V_A_2,T_b] :
% 164.34/164.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 => 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))))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_UnionI,axiom,
% 164.34/164.97 ! [V_A_2,V_C_2,V_X_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_X_2),V_C_2))
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),V_X_2))
% 164.34/164.97 => 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))) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_smin__emptyI,axiom,
% 164.34/164.97 ! [V_X_2] :
% 164.34/164.97 ( V_X_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 164.34/164.97 => 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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Field__Union,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Union__Pow__eq,axiom,
% 164.34/164.97 ! [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 ).
% 164.34/164.97
% 164.34/164.97 fof(fact_image__Union,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Int__Union,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Int__Union2,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_UN__extend__simps_I8_J,axiom,
% 164.34/164.97 ! [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) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_UN__simps_I8_J,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Sup__le__iff,axiom,
% 164.34/164.97 ! [V_b_2,V_A_2,T_b] :
% 164.34/164.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 => ( 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))
% 164.34/164.97 <=> ! [B_x] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.97 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_less__Sup__iff,axiom,
% 164.34/164.97 ! [V_S_2,V_aa_2,T_b] :
% 164.34/164.97 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 & class_Orderings_Olinorder(T_b) )
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_S_2)))
% 164.34/164.97 <=> ? [B_x] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 164.34/164.97 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),B_x)) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_vimage__Union,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Domain__Union,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Range__Union,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Union__disjoint,axiom,
% 164.34/164.97 ! [V_A_2,V_C_2,T_b] :
% 164.34/164.97 ( 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))
% 164.34/164.97 <=> ! [B_x] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_C_2))
% 164.34/164.97 => 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)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Union__upper,axiom,
% 164.34/164.97 ! [V_A_2,V_B_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.34/164.97 => 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))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Union__empty,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Union__mono,axiom,
% 164.34/164.97 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.97 ( 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))
% 164.34/164.97 => 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))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Union__insert,axiom,
% 164.34/164.97 ! [V_B_2,V_aa_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_aa_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_aa_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_B_2)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Union__quotient,axiom,
% 164.34/164.97 ! [V_r_2,V_A_2,T_b] :
% 164.34/164.97 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.97 => 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 ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_subset__Pow__Union,axiom,
% 164.34/164.97 ! [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)))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Union__UNIV,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Union__Un__distrib,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_UNION__eq__Union__image,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Union__image__eq,axiom,
% 164.34/164.97 ! [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) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Sup__upper,axiom,
% 164.34/164.97 ! [V_A_2,V_x_2,T_b] :
% 164.34/164.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.97 => 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))) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Sup__empty,axiom,
% 164.34/164.97 ! [T_b] :
% 164.34/164.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 => 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) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Sup__singleton,axiom,
% 164.34/164.97 ! [V_aa_2,T_b] :
% 164.34/164.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_aa_2 ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Sup__insert,axiom,
% 164.34/164.97 ! [V_A_2,V_aa_2,T_b] :
% 164.34/164.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_aa_2),c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Sup__UNIV,axiom,
% 164.34/164.97 ! [T_b] :
% 164.34/164.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 => 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) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_pair__leq__def,axiom,
% 164.34/164.97 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))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Un__eq__Union,axiom,
% 164.34/164.97 ! [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))))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Un__Union__image,axiom,
% 164.34/164.97 ! [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))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Union__Int__subset,axiom,
% 164.34/164.97 ! [V_B_2,V_A_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),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)))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Sup__binary,axiom,
% 164.34/164.97 ! [V_b_2,V_aa_2,T_b] :
% 164.34/164.97 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.97 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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_aa_2),V_b_2) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wmax__insertI,axiom,
% 164.34/164.97 ! [V_XS_2,V_x_2,V_YS_2,V_y_2] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_y_2),V_YS_2))
% 164.34/164.97 => ( 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))
% 164.34/164.97 => ( 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))
% 164.34/164.97 => 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)) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wmin__insertI,axiom,
% 164.34/164.97 ! [V_YS_2,V_y_2,V_XS_2,V_x_2] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_x_2),V_XS_2))
% 164.34/164.97 => ( 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))
% 164.34/164.97 => ( 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))
% 164.34/164.97 => 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)) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wmin__emptyI,axiom,
% 164.34/164.97 ! [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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_min__strict__def,axiom,
% 164.34/164.97 c_FunDef_Omin__strict = c_Wellfounded_Omin__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_less__than__iff,axiom,
% 164.34/164.97 ! [V_y_2,V_x_2] :
% 164.34/164.97 ( 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))
% 164.34/164.97 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_max__ext__additive,axiom,
% 164.34/164.97 ! [V_D_2,V_C_2,V_R_2,V_B_2,V_A_2,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => ( 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)))
% 164.34/164.97 => 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))) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_inj__on__Inter,axiom,
% 164.34/164.97 ! [V_f_2,T_c,T_b,V_S_2] :
% 164.34/164.97 ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 164.34/164.97 => ( ! [B_A] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_A),V_S_2))
% 164.34/164.97 => c_Fun_Oinj__on(T_b,T_c,V_f_2,B_A) )
% 164.34/164.97 => 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)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__less__than,axiom,
% 164.34/164.97 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_Union__def,axiom,
% 164.34/164.97 ! [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))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_max__ext__wf,axiom,
% 164.34/164.97 ! [V_r_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.97 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omax__ext(T_b,V_r_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_max__weak__def,axiom,
% 164.34/164.97 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)))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_pair__less__def,axiom,
% 164.34/164.97 c_FunDef_Opair__less = c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_Nat_Onat,c_Wellfounded_Oless__than,c_Wellfounded_Oless__than) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_min__weak__def,axiom,
% 164.34/164.97 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)))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_min__ext__wf,axiom,
% 164.34/164.97 ! [V_r_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.97 => c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Omin__ext(T_b,V_r_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_max__strict__def,axiom,
% 164.34/164.97 c_FunDef_Omax__strict = c_Wellfounded_Omax__ext(tc_prod(tc_Nat_Onat,tc_Nat_Onat),c_FunDef_Opair__less) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_max__extp__max__ext__eq,axiom,
% 164.34/164.97 ! [V_xa_2,V_x_2,V_R_2,T_b] :
% 164.34/164.97 ( 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)
% 164.34/164.97 <=> 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))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_mlex__prod__def,axiom,
% 164.34/164.97 ! [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))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_max__rpair__set,axiom,
% 164.34/164.97 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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_min__rpair__set,axiom,
% 164.34/164.97 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)) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_insert__partition,axiom,
% 164.34/164.97 ! [V_F_2,V_x_2,T_b] :
% 164.34/164.97 ( ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),V_x_2),V_F_2))
% 164.34/164.97 => ( ! [B_x] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => ! [B_xa] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => ( B_x != B_xa
% 164.34/164.97 => 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)) ) ) )
% 164.34/164.97 => 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)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wmax__emptyI,axiom,
% 164.34/164.97 ! [V_X_2] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_X_2))
% 164.34/164.97 => 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)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_smax__emptyI,axiom,
% 164.34/164.97 ! [V_Ya_2] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),V_Ya_2))
% 164.34/164.97 => ( V_Ya_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool))
% 164.34/164.97 => 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_Ya_2)),c_FunDef_Omax__strict)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite_OemptyI,axiom,
% 164.34/164.97 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite_OinsertI,axiom,
% 164.34/164.97 ! [V_aa_2,V_A_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__imageI,axiom,
% 164.34/164.97 ! [V_h_2,T_c,V_F_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_h_2),V_F_2))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Int,axiom,
% 164.34/164.97 ! [V_Ga_2,V_F_2,T_b] :
% 164.34/164.97 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 164.34/164.97 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) )
% 164.34/164.97 => 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))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Diff,axiom,
% 164.34/164.97 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.97 => 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))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Inter,axiom,
% 164.34/164.97 ! [V_M_2,T_b] :
% 164.34/164.97 ( ? [B_x] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_M_2))
% 164.34/164.97 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),V_M_2))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Collect__conjI,axiom,
% 164.34/164.97 ! [V_Qa_2,V_Pa_2,T_b] :
% 164.34/164.97 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 164.34/164.97 | hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) )
% 164.34/164.97 => 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_Pa_2)),V_Qa_2)))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_wf__inv__image,axiom,
% 164.34/164.97 ! [V_f_2,T_c,V_r_2,T_b] :
% 164.34/164.97 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.97 => c_Wellfounded_Owf(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Collect__subsets,axiom,
% 164.34/164.97 ! [V_A_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.97 => 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)))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__UnionD,axiom,
% 164.34/164.97 ! [V_A_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2)))
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Range,axiom,
% 164.34/164.97 ! [V_r_2,T_c,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Relation_ORange(T_b,T_c),V_r_2))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Pow__iff,axiom,
% 164.34/164.97 ! [V_A_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Set_OPow(T_b),V_A_2)))
% 164.34/164.97 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite,axiom,
% 164.34/164.97 ! [V_A_2,T_b] :
% 164.34/164.97 ( class_Finite__Set_Ofinite(T_b)
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__code,axiom,
% 164.34/164.97 ! [V_A_2,T_b] :
% 164.34/164.97 ( class_Finite__Set_Ofinite(T_b)
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Prod__UNIV,axiom,
% 164.34/164.97 ! [T_c,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 164.34/164.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))))
% 164.34/164.97 => 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)))) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Plus__UNIV__iff,axiom,
% 164.34/164.97 ! [T_c,T_b] :
% 164.34/164.97 ( 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))))
% 164.34/164.97 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 164.34/164.97 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__option__UNIV,axiom,
% 164.34/164.97 ! [T_b] :
% 164.34/164.97 ( 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))))
% 164.34/164.97 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Field,axiom,
% 164.34/164.97 ! [V_r_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_OField(T_b),V_r_2))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Domain,axiom,
% 164.34/164.97 ! [V_r_2,T_c,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),V_r_2))
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Relation_ODomain(T_b,T_c),V_r_2))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite_Oequations_I1_J,axiom,
% 164.34/164.97 ! [T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__insert,axiom,
% 164.34/164.97 ! [V_A_2,V_aa_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2)))
% 164.34/164.97 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__fun__UNIVD2,axiom,
% 164.34/164.97 ! [T_c,T_b] :
% 164.34/164.97 ( 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))))
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__subset,axiom,
% 164.34/164.97 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_rev__finite__subset,axiom,
% 164.34/164.97 ! [V_A_2,V_B_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.97 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__UNIV,axiom,
% 164.34/164.97 ! [T_b] :
% 164.34/164.97 ( class_Finite__Set_Ofinite(T_b)
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__UnI,axiom,
% 164.34/164.97 ! [V_Ga_2,V_F_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 164.34/164.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2))
% 164.34/164.97 => 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))) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Un,axiom,
% 164.34/164.97 ! [V_Ga_2,V_F_2,T_b] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 164.34/164.97 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ga_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Diff2,axiom,
% 164.34/164.97 ! [V_A_2,V_B_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.97 => ( 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)))
% 164.34/164.97 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__UN,axiom,
% 164.34/164.97 ! [V_B_2,T_c,V_A_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.97 => ( 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)))
% 164.34/164.97 <=> ! [B_x] :
% 164.34/164.97 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_bij__betw__finite,axiom,
% 164.34/164.97 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 164.34/164.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.97 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_fold__graph__imp__finite,axiom,
% 164.34/164.97 ! [V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_nat__seg__image__imp__finite,axiom,
% 164.34/164.97 ! [V_n_2,V_f_2,T_b,V_A_2] :
% 164.34/164.97 ( 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)))
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Collect__disjI,axiom,
% 164.34/164.97 ! [V_Qa_2,V_Pa_2,T_b] :
% 164.34/164.97 ( 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_Pa_2)),V_Qa_2))))
% 164.34/164.97 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 164.34/164.97 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Qa_2))) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__surj,axiom,
% 164.34/164.97 ! [V_f_2,V_B_2,T_c,V_A_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.97 => ( 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)))
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Diff__insert,axiom,
% 164.34/164.97 ! [V_B_2,V_aa_2,V_A_2,T_b] :
% 164.34/164.97 ( 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_aa_2),V_B_2))))
% 164.34/164.97 <=> 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))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__imageD,axiom,
% 164.34/164.97 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2)))
% 164.34/164.97 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2)
% 164.34/164.97 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2)) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__compl,axiom,
% 164.34/164.97 ! [V_A_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.97 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_A_2)))
% 164.34/164.97 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Collect__bounded__ex,axiom,
% 164.34/164.97 ! [V_Qa_2,T_c,V_Pa_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 164.34/164.97 => ( 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_Pa_2))),V_Qa_2)))))
% 164.34/164.97 <=> ! [B_y] :
% 164.34/164.97 ( hBOOL(hAPP(V_Pa_2,B_y))
% 164.34/164.97 => 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_Qa_2),B_y)))) ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__image__set,axiom,
% 164.34/164.97 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 164.34/164.97 => 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_Pa_2))))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__Collect__not,axiom,
% 164.34/164.97 ! [V_Pa_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),V_Pa_2)))
% 164.34/164.97 => ( 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_Pa_2))))
% 164.34/164.97 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__range__imageI,axiom,
% 164.34/164.97 ! [V_f_2,T_d,V_g_2,T_c,T_b] :
% 164.34/164.97 ( 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)))))
% 164.34/164.97 => 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))))) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_endo__inj__surj,axiom,
% 164.34/164.97 ! [V_f_2,V_A_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.97 => ( 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))
% 164.34/164.97 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2)
% 164.34/164.97 => hAPP(c_Set_Oimage(T_b,T_b,V_f_2),V_A_2) = V_A_2 ) ) ) ).
% 164.34/164.97
% 164.34/164.97 fof(fact_finite__surj__inj,axiom,
% 164.34/164.97 ! [V_f_2,V_A_2,T_b] :
% 164.34/164.97 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( 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)))
% 164.34/164.98 => c_Fun_Oinj__on(T_b,T_b,V_f_2,V_A_2) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_finite__UNIV__inj__surj,axiom,
% 164.34/164.98 ! [V_f_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 164.34/164.98 => ( c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.98 => 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)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_finite__UNIV__surj__inj,axiom,
% 164.34/164.98 ! [V_f_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 164.34/164.98 => ( 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))
% 164.34/164.98 => c_Fun_Oinj__on(T_b,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_finite__vimageD,axiom,
% 164.34/164.98 ! [V_F_2,V_h_2,T_c,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 164.34/164.98 => ( 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))
% 164.34/164.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_finite__vimageI,axiom,
% 164.34/164.98 ! [V_h_2,T_c,V_F_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 164.34/164.98 => ( c_Fun_Oinj__on(T_c,T_b,V_h_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 164.34/164.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Ovimage(T_c,T_b,V_h_2),V_F_2))) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_finite__vimage__iff,axiom,
% 164.34/164.98 ! [V_F_2,V_h_2,T_c,T_b] :
% 164.34/164.98 ( 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)))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_Ovimage(T_b,T_c,V_h_2),V_F_2)))
% 164.34/164.98 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_F_2)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_in__inv__image,axiom,
% 164.34/164.98 ! [V_f_2,V_r_2,T_c,V_y_2,V_x_2,T_b] :
% 164.34/164.98 ( 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)))
% 164.34/164.98 <=> 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)) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_in__finite__psubset,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.98 ( 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)))
% 164.34/164.98 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.98 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding_Oremove,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.98 => 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)) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__one_Oremove,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.98 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => hAPP(V_F_2,V_A_2) = V_x_2 )
% 164.34/164.98 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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)))))) ) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__image__simple_Oremove,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 164.34/164.98 => 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)))))) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__image_Oreindex,axiom,
% 164.34/164.98 ! [V_g_2,V_h_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.34/164.98 => ( c_Fun_Oinj__on(T_c,T_c,V_h_2,V_A_2)
% 164.34/164.98 => 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) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding_Ounion,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding_Oinsert__remove,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => 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)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_finite__Collect__less__nat,axiom,
% 164.34/164.98 ! [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)))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_finite__Collect__le__nat,axiom,
% 164.34/164.98 ! [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)))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding_Ocommute__comps_I1_J,axiom,
% 164.34/164.98 ! [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] :
% 164.34/164.98 ( c_Finite__Set_Ofolding(T_b,T_c,V_fa_2,V_F_2)
% 164.34/164.98 => 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) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding_Ocommute__comp,axiom,
% 164.34/164.98 ! [V_x_2,V_y_2,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => 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)) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding_Ocommute__left__comp,axiom,
% 164.34/164.98 ! [V_g_2,V_x_2,V_y_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => 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)) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__image__simple_Oempty,axiom,
% 164.34/164.98 ! [V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 164.34/164.98 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))) = V_z_2 ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__image_Odistrib,axiom,
% 164.34/164.98 ! [V_h_2,V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.34/164.98 => 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)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding_Ocommute__left__comp_H_H,axiom,
% 164.34/164.98 ! [V_g_2,T_d,V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => 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)) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding_Ocommute__comp_H_H,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => 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)) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding_Ocommute__left__comp_H,axiom,
% 164.34/164.98 ! [V_g_2,V_x_2,T_d,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => 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)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding_Ocommute__comp_H,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => 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)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding_Oempty,axiom,
% 164.34/164.98 ! [V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => hAPP(V_F_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_Fun_Oid(T_c) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__one_Osingleton,axiom,
% 164.34/164.98 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 164.34/164.98 => 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 ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__image__simple_Oinsert,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.34/164.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 164.34/164.98 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__image__simple_Ounion__inter,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 164.34/164.98 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_measure__def,axiom,
% 164.34/164.98 ! [T_b] : c_Wellfounded_Omeasure(T_b) = hAPP(c_Relation_Oinv__image(tc_Nat_Onat,T_b),c_Wellfounded_Oless__than) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_wf__finite__psubset,axiom,
% 164.34/164.98 ! [T_b] : c_Wellfounded_Owf(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding_Oinsert,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.98 => 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)) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding_Ounion__inter,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => 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)) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__one_Oinsert,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__image__simple_Oinsert__remove,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.34/164.98 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_c),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,hAPP(V_g_2,V_x_2)),hAPP(V_F_2,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)))))) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__one_Oinsert__remove,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 164.34/164.98 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__one_Ounion__inter,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => hAPP(hAPP(V_f_2,hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__one_Ounion__disjoint,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__image__simple_Ounion__disjoint,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 164.34/164.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 164.34/164.98 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_finite__M__bounded__by__nat,axiom,
% 164.34/164.98 ! [V_i_2,V_Pa_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_Pa_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))))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_finite__Union,axiom,
% 164.34/164.98 ! [V_A_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_A_2))
% 164.34/164.98 => ( ! [B_M] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_M),V_A_2))
% 164.34/164.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_M)) )
% 164.34/164.98 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2))) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_finite__pointwise,axiom,
% 164.34/164.98 ! [V_Qa_2,V_Pa_2,V_Q_H_2,V_c0_2,V_P_H_2,V_Ga_2,T_c,V_U_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_U_2))
% 164.34/164.98 => ( ! [B_p] :
% 164.34/164.98 ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),hAPP(V_P_H_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Q_H_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool))))
% 164.34/164.98 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_c),hAPP(V_Pa_2,B_p)),hAPP(V_c0_2,B_p)),hAPP(V_Qa_2,B_p))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(T_c),tc_HOL_Obool)))) )
% 164.34/164.98 => ( c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(c_Set_Oimage(T_b,tc_Hoare__Mirabelle_Otriple(T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),T_b),c_Hoare__Mirabelle_Otriple_Otriple(T_c)),V_P_H_2)),V_c0_2)),V_Q_H_2)),V_U_2))
% 164.34/164.98 => c_Hoare__Mirabelle_Ohoare__derivs(T_c,V_Ga_2,hAPP(c_Set_Oimage(T_b,tc_Hoare__Mirabelle_Otriple(T_c),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c)),hAPP(hAPP(c_COMBS(T_b,tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(T_c,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(T_c))),T_b),c_Hoare__Mirabelle_Otriple_Otriple(T_c)),V_Pa_2)),V_c0_2)),V_Qa_2)),V_U_2)) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__idem_Ounion__idem,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__idem_Osubset__comp__idem,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.34/164.98 => 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) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__idem_Oinsert__idem,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => 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)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__one_Oclosed,axiom,
% 164.34/164.98 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(V_f_2,B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 164.34/164.98 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_F_2,V_A_2)),V_A_2)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_infinite__UNIV__nat,axiom,
% 164.34/164.98 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__idem_Oidem__left__comp,axiom,
% 164.34/164.98 ! [V_g_2,V_x_2,T_d,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => 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) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__idem_Oidem__comp,axiom,
% 164.34/164.98 ! [V_x_2,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => 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) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_finite__nat__set__iff__bounded,axiom,
% 164.34/164.98 ! [V_N_2] :
% 164.34/164.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 164.34/164.98 <=> ? [B_m] :
% 164.34/164.98 ! [B_x] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 164.34/164.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_finite__nat__set__iff__bounded__le,axiom,
% 164.34/164.98 ! [V_N_2] :
% 164.34/164.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_N_2))
% 164.34/164.98 <=> ? [B_m] :
% 164.34/164.98 ! [B_x] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),V_N_2))
% 164.34/164.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_x),B_m)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__idem_Oin__comp__idem,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__idem(T_b,T_c,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.98 => 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) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_ord_OgreaterThanAtMost__iff,axiom,
% 164.34/164.98 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 164.34/164.98 ( 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)))
% 164.34/164.98 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 164.34/164.98 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_ord_OatLeastLessThan__iff,axiom,
% 164.34/164.98 ! [V_u_2,V_l_2,V_less_2,V_less__eq_2,V_i_2,T_b] :
% 164.34/164.98 ( 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)))
% 164.34/164.98 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 164.34/164.98 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_ord_OgreaterThanLessThan__iff,axiom,
% 164.34/164.98 ! [V_u_2,V_l_2,V_less_2,V_i_2,T_b] :
% 164.34/164.98 ( 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)))
% 164.34/164.98 <=> ( hBOOL(hAPP(hAPP(V_less_2,V_l_2),V_i_2))
% 164.34/164.98 & hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_u_2)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_ord_OatLeastAtMost__iff,axiom,
% 164.34/164.98 ! [V_u_2,V_l_2,V_less__eq_2,V_i_2,T_b] :
% 164.34/164.98 ( 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)))
% 164.34/164.98 <=> ( hBOOL(hAPP(hAPP(V_less__eq_2,V_l_2),V_i_2))
% 164.34/164.98 & hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_u_2)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_ord_OgreaterThan__iff,axiom,
% 164.34/164.98 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OgreaterThan(T_b,V_less_2,V_k_2)))
% 164.34/164.98 <=> hBOOL(hAPP(hAPP(V_less_2,V_k_2),V_i_2)) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_ord_OlessThan__iff,axiom,
% 164.34/164.98 ! [V_k_2,V_less_2,V_i_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OlessThan(T_b,V_less_2,V_k_2)))
% 164.34/164.98 <=> hBOOL(hAPP(hAPP(V_less_2,V_i_2),V_k_2)) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_ord_OatLeast__iff,axiom,
% 164.34/164.98 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatLeast(T_b,V_less__eq_2,V_k_2)))
% 164.34/164.98 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_k_2),V_i_2)) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_ord_OatMost__iff,axiom,
% 164.34/164.98 ! [V_k_2,V_less__eq_2,V_i_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),c_SetInterval_Oord_OatMost(T_b,V_less__eq_2,V_k_2)))
% 164.34/164.98 <=> hBOOL(hAPP(hAPP(V_less__eq_2,V_i_2),V_k_2)) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_rp__inv__image__rp,axiom,
% 164.34/164.98 ! [V_f_2,T_c,V_Pa_2,T_b] :
% 164.34/164.98 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 164.34/164.98 => c_FunDef_Oreduction__pair(T_c,hAPP(hAPP(c_FunDef_Orp__inv__image(T_b,T_c),V_Pa_2),V_f_2)) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_finite__empty__induct,axiom,
% 164.34/164.98 ! [V_Pa_2,V_A_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(V_Pa_2,V_A_2))
% 164.34/164.98 => ( ! [B_a,B_A] :
% 164.34/164.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_A))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_A))
% 164.34/164.98 => ( hBOOL(hAPP(V_Pa_2,B_A))
% 164.34/164.98 => hBOOL(hAPP(V_Pa_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)))))) ) ) )
% 164.34/164.98 => hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__one__idem_Ounion__idem,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => hAPP(V_F_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(V_f_2,hAPP(V_F_2,V_A_2)),hAPP(V_F_2,V_B_2)) ) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_reduction__pairI,axiom,
% 164.34/164.98 ! [V_S_2,V_R_2,T_b] :
% 164.34/164.98 ( c_Wellfounded_Owf(T_b,V_R_2)
% 164.34/164.98 => ( 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))
% 164.34/164.98 => 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)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__one__idem_Osubset__idem,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,V_F_2,V_f_2,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.34/164.98 => hAPP(hAPP(V_f_2,hAPP(V_F_2,V_B_2)),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_finite__subset__induct,axiom,
% 164.34/164.98 ! [V_Pa_2,V_A_2,V_F_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_F_2),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 164.34/164.98 => ( ! [B_a,B_F] :
% 164.34/164.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 164.34/164.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_a),B_F))
% 164.34/164.98 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 164.34/164.98 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_a),B_F))) ) ) ) )
% 164.34/164.98 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_rel__compI,axiom,
% 164.34/164.98 ! [V_s_2,V_ca_2,T_d,V_r_2,V_b_2,V_aa_2,T_c,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_b_2)),V_r_2))
% 164.34/164.98 => ( 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_ca_2)),V_s_2))
% 164.34/164.98 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),V_aa_2),V_ca_2)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2))) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__one__idem_Oidem,axiom,
% 164.34/164.98 ! [V_x_2,V_F_2,V_f_2,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 164.34/164.98 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_O__assoc,axiom,
% 164.34/164.98 ! [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)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_wf__comp__self,axiom,
% 164.34/164.98 ! [V_R_2,T_b] :
% 164.34/164.98 ( c_Wellfounded_Owf(T_b,V_R_2)
% 164.34/164.98 <=> c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),V_R_2)) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_rel__comp__mono,axiom,
% 164.34/164.98 ! [V_s_2,V_s_H_2,T_d,V_r_2,V_r_H_2,T_c,T_b] :
% 164.34/164.98 ( 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))
% 164.34/164.98 => ( 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))
% 164.34/164.98 => 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))) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_rel__comp__empty2,axiom,
% 164.34/164.98 ! [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)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_rel__comp__empty1,axiom,
% 164.34/164.98 ! [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)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_rel__comp__distrib,axiom,
% 164.34/164.98 ! [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)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_rel__comp__distrib2,axiom,
% 164.34/164.98 ! [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)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Id__O__R,axiom,
% 164.34/164.98 ! [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 ).
% 164.34/164.98
% 164.34/164.98 fof(fact_R__O__Id,axiom,
% 164.34/164.98 ! [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 ).
% 164.34/164.98
% 164.34/164.98 fof(fact_rel__comp__UNION__distrib2,axiom,
% 164.34/164.98 ! [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)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_rel__comp__UNION__distrib,axiom,
% 164.34/164.98 ! [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)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_wf__no__loop,axiom,
% 164.34/164.98 ! [V_R_2,T_b] :
% 164.34/164.98 ( 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))
% 164.34/164.98 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_wf__union__merge,axiom,
% 164.34/164.98 ! [V_S_2,V_R_2,T_b] :
% 164.34/164.98 ( 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))
% 164.34/164.98 <=> 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)) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_union__comp__emptyL,axiom,
% 164.34/164.98 ! [V_B_2,V_C_2,V_A_2,T_b] :
% 164.34/164.98 ( 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))
% 164.34/164.98 => ( 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))
% 164.34/164.98 => 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)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_union__comp__emptyR,axiom,
% 164.34/164.98 ! [V_C_2,V_B_2,V_A_2,T_b] :
% 164.34/164.98 ( 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))
% 164.34/164.98 => ( 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))
% 164.34/164.98 => 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)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_wf__union__compatible,axiom,
% 164.34/164.98 ! [V_S_2,V_R_2,T_b] :
% 164.34/164.98 ( c_Wellfounded_Owf(T_b,V_R_2)
% 164.34/164.98 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 164.34/164.98 => ( 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))
% 164.34/164.98 => 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)) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__one__idem_Oin__idem,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.98 => hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) = hAPP(V_F_2,V_A_2) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_max__ext__compat,axiom,
% 164.34/164.98 ! [V_S_2,V_R_2,T_b] :
% 164.34/164.98 ( 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))
% 164.34/164.98 => 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))) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_min__ext__compat,axiom,
% 164.34/164.98 ! [V_S_2,V_R_2,T_b] :
% 164.34/164.98 ( 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))
% 164.34/164.98 => 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))) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__one__idem_Oinsert__idem,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(V_f_2,V_x_2),hAPP(V_F_2,V_A_2)) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_pred__comp__rel__comp__eq,axiom,
% 164.34/164.98 ! [V_y_2,V_x_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 164.34/164.98 ( 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))
% 164.34/164.98 <=> 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))) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_finite__conv__nat__seg__image,axiom,
% 164.34/164.98 ! [V_A_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 <=> ? [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))) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_rp__inv__image__def,axiom,
% 164.34/164.98 ! [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))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_max__extp_Oequations,axiom,
% 164.34/164.98 ! [V_a2_2,V_a1_2,V_R_2,T_b] :
% 164.34/164.98 ( c_Wellfounded_Omax__extp(T_b,V_R_2,V_a1_2,V_a2_2)
% 164.34/164.98 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 164.34/164.98 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 164.34/164.98 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 & ! [B_x] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 164.34/164.98 => ? [B_xa] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 164.34/164.98 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_max__ext_Ointros,axiom,
% 164.34/164.98 ! [V_R_2,V_Ya_2,V_X_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ya_2))
% 164.34/164.98 => ( V_Ya_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( ! [B_x] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 164.34/164.98 => ? [B_xa] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Ya_2))
% 164.34/164.98 & 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)) ) )
% 164.34/164.98 => 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_Ya_2)),c_Wellfounded_Omax__ext(T_b,V_R_2))) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inter__subset,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.98 ( ! [B_X] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_A_2))
% 164.34/164.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),B_X),V_B_2)) )
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool))
% 164.34/164.98 => 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)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_fold1__Un,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Groups_Oab__semigroup__mult(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_pred__comp_Ointros,axiom,
% 164.34/164.98 ! [T_d,T_c,T_b,V_ca_2,V_s_2,V_b_2,V_aa_2,V_r_2] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(V_r_2,V_aa_2),V_b_2))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(V_s_2,V_b_2),V_ca_2))
% 164.34/164.98 => hBOOL(hAPP(hAPP(c_Predicate_Opred__comp(T_b,T_c,T_d,V_r_2,V_s_2),V_aa_2),V_ca_2)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_pred__comp_Oequations,axiom,
% 164.34/164.98 ! [V_a3_2,V_a1_2,V_s_2,V_r_2,T_d,T_c,T_b] :
% 164.34/164.98 ( 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))
% 164.34/164.98 <=> ? [B_b] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),B_b))
% 164.34/164.98 & hBOOL(hAPP(hAPP(V_s_2,B_b),V_a3_2)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_fold1__singleton__def,axiom,
% 164.34/164.98 ! [V_aa_2,V_f_2,T_b,V_g_2] :
% 164.34/164.98 ( V_g_2 = c_Finite__Set_Ofold1(T_b,V_f_2)
% 164.34/164.98 => hAPP(V_g_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_aa_2 ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_fold1__singleton,axiom,
% 164.34/164.98 ! [V_aa_2,V_f_2,T_b] : hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_aa_2 ).
% 164.34/164.98
% 164.34/164.98 fof(fact_folding__one_Oeq__fold,axiom,
% 164.34/164.98 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 164.34/164.98 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_fold1__def,axiom,
% 164.34/164.98 ! [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)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_fold1__insert__idem,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_fold1__Un2,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_B_2)) ) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_fold1__insert,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Groups_Oab__semigroup__mult(T_b)
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.98 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_pair__imageI,axiom,
% 164.34/164.98 ! [V_f_2,T_d,V_A_2,V_b_2,V_aa_2,T_c,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_b_2)),V_A_2))
% 164.34/164.98 => hBOOL(hAPP(hAPP(c_member(T_d),hAPP(hAPP(V_f_2,V_aa_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))) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_below__fold1__iff,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Osemilattice__inf(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)))
% 164.34/164.98 <=> ! [B_x] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_fold1__belowI,axiom,
% 164.34/164.98 ! [V_aa_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Osemilattice__inf(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.98 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_A_2)),V_aa_2)) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_split__eta,axiom,
% 164.34/164.98 ! [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 ).
% 164.34/164.98
% 164.34/164.98 fof(fact_fold1__in,axiom,
% 164.34/164.98 ! [V_A_2,T_b] :
% 164.34/164.98 ( class_Groups_Oab__semigroup__mult(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( ! [B_x,B_y] : hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),B_x),B_y)),hAPP(hAPP(c_Set_Oinsert(T_b),B_x),hAPP(hAPP(c_Set_Oinsert(T_b),B_y),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))))
% 164.34/164.98 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),V_A_2)),V_A_2)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_prod_Osimps_I2_J,axiom,
% 164.34/164.98 ! [V_b_2,V_aa_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_aa_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_aa_2),V_b_2) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_prod__caseI,axiom,
% 164.34/164.98 ! [T_c,T_b,V_b_2,V_aa_2,V_f1_2] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(V_f1_2,V_aa_2),V_b_2))
% 164.34/164.98 => 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_aa_2),V_b_2))) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_splitI,axiom,
% 164.34/164.98 ! [T_c,T_b,V_b_2,V_aa_2,V_f_2] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(V_f_2,V_aa_2),V_b_2))
% 164.34/164.98 => 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_aa_2),V_b_2))) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_mem__splitI,axiom,
% 164.34/164.98 ! [T_d,T_c,V_b_2,V_aa_2,V_ca_2,V_z_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_ca_2,V_aa_2),V_b_2)))
% 164.34/164.98 => 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_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_aa_2),V_b_2)))) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_split__paired__The,axiom,
% 164.34/164.98 ! [V_Pa_2,T_c,T_b] : c_HOL_OThe(tc_prod(T_b,T_c),V_Pa_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_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_The__split__eq,axiom,
% 164.34/164.98 ! [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) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_splitD_H,axiom,
% 164.34/164.98 ! [V_ca_2,V_b_2,V_aa_2,V_R_2,T_d,T_c,T_b] :
% 164.34/164.98 ( 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_aa_2),V_b_2)),V_ca_2))
% 164.34/164.98 => hBOOL(hAPP(hAPP(hAPP(V_R_2,V_aa_2),V_b_2),V_ca_2)) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_splitD,axiom,
% 164.34/164.98 ! [V_b_2,V_aa_2,V_f_2,T_c,T_b] :
% 164.34/164.98 ( 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_aa_2),V_b_2)))
% 164.34/164.98 => hBOOL(hAPP(hAPP(V_f_2,V_aa_2),V_b_2)) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_split__Pair,axiom,
% 164.34/164.98 ! [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)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_swap__inj__on,axiom,
% 164.34/164.98 ! [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) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_split__paired__Eps,axiom,
% 164.34/164.98 ! [V_Pa_2,T_c,T_b] : c_Hilbert__Choice_OEps(tc_prod(T_b,T_c),V_Pa_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_Pa_2)),c_Product__Type_OPair(T_b,T_c)))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Eps__split__eq,axiom,
% 164.34/164.98 ! [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) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Id__on__def_H,axiom,
% 164.34/164.98 ! [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)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_congruent__def,axiom,
% 164.34/164.98 ! [V_f_2,V_r_2,T_c,T_b] :
% 164.34/164.98 ( c_Equiv__Relations_Ocongruent(T_b,T_c,V_r_2,V_f_2)
% 164.34/164.98 <=> ! [B_x] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 164.34/164.98 => 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)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_wf__less,axiom,
% 164.34/164.98 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)))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_inj__graph,axiom,
% 164.34/164.98 ! [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))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Pair__inject,axiom,
% 164.34/164.98 ! [V_b_H,V_a_H,V_b,V_a,T_b,T_a] :
% 164.34/164.98 ( 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)
% 164.34/164.98 => ~ ( V_a = V_a_H
% 164.34/164.98 => V_b != V_b_H ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Pair__eq,axiom,
% 164.34/164.98 ! [V_b_H_2,V_a_H_2,V_b_2,V_aa_2,T_c,T_b] :
% 164.34/164.98 ( hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_b_2) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_a_H_2),V_b_H_2)
% 164.34/164.98 <=> ( V_aa_2 = V_a_H_2
% 164.34/164.98 & V_b_2 = V_b_H_2 ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_split__paired__All,axiom,
% 164.34/164.98 ! [T_c,T_b,V_Pa_2] :
% 164.34/164.98 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 164.34/164.98 <=> ! [B_a,B_b] : hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b))) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sup__fin_Oidem,axiom,
% 164.34/164.98 ! [V_x,T_a] :
% 164.34/164.98 ( class_Lattices_Olattice(T_a)
% 164.34/164.98 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_a),V_x),V_x) = V_x ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inf__fin_Oidem,axiom,
% 164.34/164.98 ! [V_x,T_a] :
% 164.34/164.98 ( class_Lattices_Olattice(T_a)
% 164.34/164.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_a),V_x),V_x) = V_x ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_wf,axiom,
% 164.34/164.98 ! [T_b] :
% 164.34/164.98 ( class_Orderings_Owellorder(T_b)
% 164.34/164.98 => 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)))) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_split__weak__cong,axiom,
% 164.34/164.98 ! [V_ca_2,T_d,T_c,T_b,V_q_2,V_p_2] :
% 164.34/164.98 ( V_p_2 = V_q_2
% 164.34/164.98 => hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_ca_2),V_p_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_ca_2),V_q_2) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_wfP__def,axiom,
% 164.34/164.98 ! [V_r_2,T_b] :
% 164.34/164.98 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 164.34/164.98 <=> 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))) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_finite__psubset__def,axiom,
% 164.34/164.98 ! [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)))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Domain__Collect__split,axiom,
% 164.34/164.98 ! [V_Pa_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_Pa_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_Pa_2)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Range__Collect__split,axiom,
% 164.34/164.98 ! [V_Pa_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_Pa_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_Pa_2))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_inv__image__def,axiom,
% 164.34/164.98 ! [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))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_split__twice,axiom,
% 164.34/164.98 ! [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) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_rel__comp__def,axiom,
% 164.34/164.98 ! [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))))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_split__conv,axiom,
% 164.34/164.98 ! [V_b_2,V_aa_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_aa_2),V_b_2)) = hAPP(hAPP(V_f_2,V_aa_2),V_b_2) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Nitpick_Oprod__def,axiom,
% 164.34/164.98 ! [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)))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_semilattice__big_OF__eq,axiom,
% 164.34/164.98 ! [V_A_2,V_F_2,V_f_2,T_b] :
% 164.34/164.98 ( c_Big__Operators_Osemilattice__big(T_b,V_f_2,V_F_2)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => hAPP(V_F_2,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,V_f_2),V_A_2) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_prod_Orecs,axiom,
% 164.34/164.98 ! [V_b_2,V_aa_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_aa_2),V_b_2)) = hAPP(hAPP(V_f1_2,V_aa_2),V_b_2) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_inf__Sup1__distrib,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Odistrib__lattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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))))) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_inf__Sup2__distrib,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Odistrib__lattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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))))))) ) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_sup__Inf1__distrib,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Odistrib__lattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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))))) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inf__le__Sup,axiom,
% 164.34/164.98 ! [V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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))) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sup__fin_Osingleton,axiom,
% 164.34/164.98 ! [V_x_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = V_x_2 ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inf__fin_Osingleton,axiom,
% 164.34/164.98 ! [V_x_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => 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 ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_sup__Inf__absorb,axiom,
% 164.34/164.98 ! [V_aa_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.98 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_aa_2),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)) = V_aa_2 ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sup__fin_Oin__idem,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.98 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_inf__Sup__absorb,axiom,
% 164.34/164.98 ! [V_aa_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.98 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_aa_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = V_aa_2 ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inf__fin_Oin__idem,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.98 => 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) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sup__fin__Sup,axiom,
% 164.34/164.98 ! [V_A_2,T_b] :
% 164.34/164.98 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = c_Complete__Lattice_OSup__class_OSup(T_b,V_A_2) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inf__fin__Inf,axiom,
% 164.34/164.98 ! [V_A_2,T_b] :
% 164.34/164.98 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = c_Complete__Lattice_OInf__class_OInf(T_b,V_A_2) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sup__fin_OF__eq,axiom,
% 164.34/164.98 ! [V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(c_Finite__Set_Ofold1(T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_A_2) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inf__fin_OF__eq,axiom,
% 164.34/164.98 ! [V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => 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) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sup__fin_Oinsert__idem,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inf__fin_Oinsert__idem,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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)) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sup__fin_Osubset__idem,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.34/164.98 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) = c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inf__fin_Osubset__idem,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.34/164.98 => 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) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sup__fin_Ounion__idem,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inf__fin_Ounion__idem,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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)) ) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sup__fin_Oinsert,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inf__fin_Oinsert,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sup__fin_Oinsert__remove,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 164.34/164.98 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inf__fin_Oinsert__remove,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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 )
% 164.34/164.98 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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)))))) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sup__fin_Ounion__inter,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sup__fin_Ounion__disjoint,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_B_2)) ) ) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inf__fin_Ounion__disjoint,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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)) ) ) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inf__fin_Ounion__inter,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sup__fin_Oremove,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.98 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = V_x_2 )
% 164.34/164.98 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inf__fin_Oremove,axiom,
% 164.34/164.98 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.98 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2) = V_x_2 )
% 164.34/164.98 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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)))))) ) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_sup__Inf2__distrib,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Odistrib__lattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.98 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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))))))) ) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_pred__nat__def,axiom,
% 164.34/164.98 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))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inf__fin_Oclosed,axiom,
% 164.34/164.98 ! [V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( ! [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))))))
% 164.34/164.98 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OInf__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sup__fin_Oclosed,axiom,
% 164.34/164.98 ! [V_A_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => ( ! [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))))))
% 164.34/164.98 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olattice__class_OSup__fin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_refl__on__def_H,axiom,
% 164.34/164.98 ! [V_r_2,V_A_2,T_b] :
% 164.34/164.98 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 164.34/164.98 <=> ( ! [B_x] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),V_r_2))
% 164.34/164.98 => 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)) )
% 164.34/164.98 & ! [B_x] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.98 => 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)) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Inf__fin_Ohom__commute,axiom,
% 164.34/164.98 ! [V_N_2,V_h_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( ! [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))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 164.34/164.98 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sup__fin_Ohom__commute,axiom,
% 164.34/164.98 ! [V_N_2,V_h_2,T_b] :
% 164.34/164.98 ( class_Lattices_Olattice(T_b)
% 164.34/164.98 => ( ! [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))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 164.34/164.98 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_refl__on__Id__on,axiom,
% 164.34/164.98 ! [V_A_2,T_b] : c_Relation_Orefl__on(T_b,V_A_2,c_Relation_OId__on(T_b,V_A_2)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_refl__on__empty,axiom,
% 164.34/164.98 ! [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))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_refl__on__Un,axiom,
% 164.34/164.98 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 164.34/164.98 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 164.34/164.98 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 164.34/164.98 => 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)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_refl__Id,axiom,
% 164.34/164.98 ! [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)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_refl__on__Int,axiom,
% 164.34/164.98 ! [V_s_2,V_B_2,V_r_2,V_A_2,T_b] :
% 164.34/164.98 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 164.34/164.98 => ( c_Relation_Orefl__on(T_b,V_B_2,V_s_2)
% 164.34/164.98 => 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)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_refl__onD,axiom,
% 164.34/164.98 ! [V_aa_2,V_r_2,V_A_2,T_b] :
% 164.34/164.98 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.98 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_aa_2)),V_r_2)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_refl__onD1,axiom,
% 164.34/164.98 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 164.34/164.98 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 164.34/164.98 => ( 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))
% 164.34/164.98 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_refl__onD2,axiom,
% 164.34/164.98 ! [V_y_2,V_x_2,V_r_2,V_A_2,T_b] :
% 164.34/164.98 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 164.34/164.98 => ( 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))
% 164.34/164.98 => hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_refl__reflcl,axiom,
% 164.34/164.98 ! [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))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_wf__pred__nat,axiom,
% 164.34/164.98 c_Wellfounded_Owf(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_reflp__def,axiom,
% 164.34/164.98 ! [V_r_2,T_b] :
% 164.34/164.98 ( c_Predicate_Oreflp(T_b,V_r_2)
% 164.34/164.98 <=> 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))) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_hom__fold1__commute,axiom,
% 164.34/164.98 ! [V_N_2,V_h_2,T_b] :
% 164.34/164.98 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 164.34/164.98 => ( ! [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))
% 164.34/164.98 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 164.34/164.98 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 => 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)) ) ) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_wfP__acyclicP,axiom,
% 164.34/164.98 ! [V_r_2,T_b] :
% 164.34/164.98 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 164.34/164.98 => 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))) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_wf__if__measure,axiom,
% 164.34/164.98 ! [T_b,V_g_2,V_f_2,V_Pa_2] :
% 164.34/164.98 ( ! [B_x] :
% 164.34/164.98 ( hBOOL(hAPP(V_Pa_2,B_x))
% 164.34/164.98 => 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))) )
% 164.34/164.98 => 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_Pa_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))))) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_image__eq__fold__image,axiom,
% 164.34/164.98 ! [V_f_2,T_c,V_A_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.98 => 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) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_image__split__eq__Sigma,axiom,
% 164.34/164.98 ! [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))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_SigmaI,axiom,
% 164.34/164.98 ! [V_B_2,V_b_2,T_c,V_A_2,V_aa_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.98 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_aa_2)))
% 164.34/164.98 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2))) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_reflpE,axiom,
% 164.34/164.98 ! [V_x_2,V_r_2,T_b] :
% 164.34/164.98 ( c_Predicate_Oreflp(T_b,V_r_2)
% 164.34/164.98 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_x_2)) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_fold__image__empty,axiom,
% 164.34/164.98 ! [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 ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Times__eq__cancel2,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 164.34/164.98 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 164.34/164.98 => ( 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))
% 164.34/164.98 <=> V_A_2 = V_B_2 ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_UN__Times__distrib,axiom,
% 164.34/164.98 ! [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))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sigma__Union,axiom,
% 164.34/164.98 ! [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)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sigma__empty1,axiom,
% 164.34/164.98 ! [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)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_wf__acyclic,axiom,
% 164.34/164.98 ! [V_r_2,T_b] :
% 164.34/164.98 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.98 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_acyclic__subset,axiom,
% 164.34/164.98 ! [V_r_2,V_s_2,T_b] :
% 164.34/164.98 ( c_Wellfounded_Oacyclic(T_b,V_s_2)
% 164.34/164.98 => ( 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))
% 164.34/164.98 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Times__empty,axiom,
% 164.34/164.98 ! [V_B_2,V_A_2,T_c,T_b] :
% 164.34/164.98 ( 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))
% 164.34/164.98 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.98 | V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sigma__empty2,axiom,
% 164.34/164.98 ! [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)) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Compl__Times__UNIV2,axiom,
% 164.34/164.98 ! [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)))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Compl__Times__UNIV1,axiom,
% 164.34/164.98 ! [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))) ).
% 164.34/164.98
% 164.34/164.98 fof(fact_Sigma__Un__distrib1,axiom,
% 164.34/164.98 ! [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)) ).
% 164.34/164.98
% 164.34/164.99 fof(fact_Times__Un__distrib1,axiom,
% 164.34/164.99 ! [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))) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Sigma__Un__distrib2,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_rel__comp__subset__Sigma,axiom,
% 164.34/164.99 ! [V_C_2,V_s_2,T_d,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 164.34/164.99 ( 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))))
% 164.34/164.99 => ( 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))))
% 164.34/164.99 => 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)))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_swap__product,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_finite__cartesian__product,axiom,
% 164.34/164.99 ! [V_B_2,T_c,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 164.34/164.99 => 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)))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_equiv__type,axiom,
% 164.34/164.99 ! [V_r_2,V_A_2,T_b] :
% 164.34/164.99 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.34/164.99 => 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)))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Sigma__Int__distrib1,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Times__Int__distrib1,axiom,
% 164.34/164.99 ! [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))) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Sigma__Int__distrib2,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Id__on__subset__Times,axiom,
% 164.34/164.99 ! [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)))) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Sigma__Diff__distrib2,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Times__Diff__distrib1,axiom,
% 164.34/164.99 ! [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))) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Sigma__Diff__distrib1,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_UNIV__Times__UNIV,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_mem__Sigma__iff,axiom,
% 164.34/164.99 ! [V_B_2,V_A_2,V_b_2,V_aa_2,T_c,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 164.34/164.99 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.99 & hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_aa_2))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_SigmaD1,axiom,
% 164.34/164.99 ! [V_B_2,V_A_2,V_b_2,V_aa_2,T_c,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_SigmaD2,axiom,
% 164.34/164.99 ! [V_B_2,V_A_2,V_b_2,V_aa_2,T_c,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_aa_2))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_SigmaE2,axiom,
% 164.34/164.99 ! [V_B_2,V_A_2,V_b_2,V_aa_2,T_c,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_b_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 164.34/164.99 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.99 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_b_2),hAPP(V_B_2,V_aa_2))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_folding__image__simple_Oeq__fold__g,axiom,
% 164.34/164.99 ! [V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 164.34/164.99 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.34/164.99 => hAPP(V_F_2,V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_folding__image_Oeq__fold,axiom,
% 164.34/164.99 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 164.34/164.99 ( c_Finite__Set_Ofolding__image(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.34/164.99 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Times__subset__cancel2,axiom,
% 164.34/164.99 ! [V_B_2,V_A_2,T_c,V_C_2,V_x_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_C_2))
% 164.34/164.99 => ( 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))))
% 164.34/164.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Image__subset,axiom,
% 164.34/164.99 ! [V_C_2,V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 164.34/164.99 ( 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))))
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_finite__cartesian__productD1,axiom,
% 164.34/164.99 ! [V_B_2,V_A_2,T_c,T_b] :
% 164.34/164.99 ( 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))))
% 164.34/164.99 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool))
% 164.34/164.99 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_finite__cartesian__productD2,axiom,
% 164.34/164.99 ! [V_B_2,V_A_2,T_c,T_b] :
% 164.34/164.99 ( 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))))
% 164.34/164.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.99 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Collect__split,axiom,
% 164.34/164.99 ! [V_Qa_2,V_Pa_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_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_Set_OCollect(T_c),V_Qa_2))) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_SetCompr__Sigma__eq,axiom,
% 164.34/164.99 ! [V_Qa_2,V_Pa_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_Pa_2))),V_Qa_2))) = hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(c_Set_OCollect(T_b),V_Pa_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_Qa_2)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_wf__iff__acyclic__if__finite,axiom,
% 164.34/164.99 ! [V_r_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 164.34/164.99 => ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.99 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_finite__acyclic__wf,axiom,
% 164.34/164.99 ! [V_r_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 164.34/164.99 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 164.34/164.99 => c_Wellfounded_Owf(T_b,V_r_2) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_refl__on__def,axiom,
% 164.34/164.99 ! [V_r_2,V_A_2,T_b] :
% 164.34/164.99 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 164.34/164.99 <=> ( 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))))
% 164.34/164.99 & ! [B_x] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.99 => 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)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_insert__times__insert,axiom,
% 164.34/164.99 ! [V_B_2,V_b_2,V_A_2,V_aa_2,T_c,T_b] : hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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_aa_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_aa_2),V_A_2)),hAPP(c_COMBK(tc_fun(T_c,tc_HOL_Obool),T_b),V_B_2)))) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_finite__equiv__class,axiom,
% 164.34/164.99 ! [V_X_2,V_r_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( 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))))
% 164.34/164.99 => ( 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)))
% 164.34/164.99 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Sigma__def,axiom,
% 164.34/164.99 ! [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))))) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_fold__image__insert,axiom,
% 164.34/164.99 ! [V_z_2,V_g_2,V_aa_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Oab__semigroup__mult(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.99 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),V_z_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_g_2,V_aa_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)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_finite__quotient,axiom,
% 164.34/164.99 ! [V_r_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( 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))))
% 164.34/164.99 => 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))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_fold__image__reindex,axiom,
% 164.34/164.99 ! [V_z_2,V_g_2,V_h_2,T_c,V_A_2,T_b,T_d] :
% 164.34/164.99 ( class_Groups_Oab__semigroup__mult(T_d)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( c_Fun_Oinj__on(T_b,T_c,V_h_2,V_A_2)
% 164.34/164.99 => 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) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Nitpick_Owf_H__def,axiom,
% 164.34/164.99 ! [V_r_2,T_b] :
% 164.34/164.99 ( c_Nitpick_Owf_H(T_b,V_r_2)
% 164.34/164.99 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 164.34/164.99 & ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 164.34/164.99 | c_Nitpick_Ounknown(tc_HOL_Obool) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__monoid__big_OF__eq,axiom,
% 164.34/164.99 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 164.34/164.99 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 164.34/164.99 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.34/164.99 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_b,T_c,V_f_2),V_g_2),V_z_2),V_A_2) )
% 164.34/164.99 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.34/164.99 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Ex__inj__on__UNION__Sigma,axiom,
% 164.34/164.99 ! [V_A_2,V_I_2,T_c,T_b] :
% 164.34/164.99 ? [B_f] :
% 164.34/164.99 ( 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))
% 164.34/164.99 & 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__mult__setsum__if__inj,axiom,
% 164.34/164.99 ! [V_B_2,V_A_2,V_g_2,V_f_2,T_c,T_b,T_d] :
% 164.34/164.99 ( class_Rings_Osemiring__0(T_d)
% 164.34/164.99 => ( 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)))
% 164.34/164.99 => 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))))))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_refl__onI,axiom,
% 164.34/164.99 ! [V_A_2,V_r_2,T_b] :
% 164.34/164.99 ( 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))))
% 164.34/164.99 => ( ! [B_x] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.99 => 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)) )
% 164.34/164.99 => c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_finite__SigmaI,axiom,
% 164.34/164.99 ! [V_B_2,T_c,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( ! [B_a] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 164.34/164.99 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 164.34/164.99 => 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))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__commute,axiom,
% 164.34/164.99 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__cartesian__product,axiom,
% 164.34/164.99 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.34/164.99 => 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__product,axiom,
% 164.34/164.99 ! [V_B_2,V_g_2,T_d,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.99 ( class_Rings_Osemiring__0(T_b)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__left__distrib,axiom,
% 164.34/164.99 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.99 ( class_Rings_Osemiring__0(T_b)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__right__distrib,axiom,
% 164.34/164.99 ! [V_A_2,V_f_2,T_c,V_r_2,T_b] :
% 164.34/164.99 ( class_Rings_Osemiring__0(T_b)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__subtractf,axiom,
% 164.34/164.99 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 164.34/164.99 ( class_Groups_Oab__group__add(T_b)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__negf,axiom,
% 164.34/164.99 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.99 ( class_Groups_Oab__group__add(T_b)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__reindex,axiom,
% 164.34/164.99 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_d)
% 164.34/164.99 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 164.34/164.99 => 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) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__reindex__id,axiom,
% 164.34/164.99 ! [V_B_2,V_f_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/164.99 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 164.34/164.99 => 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)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__setsum__restrict,axiom,
% 164.34/164.99 ! [V_R_2,V_f_2,V_T_2,T_c,V_S_2,T_b,T_d] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_d)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 164.34/164.99 => 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) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__diff,axiom,
% 164.34/164.99 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Oab__group__add(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.34/164.99 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum_Oreindex,axiom,
% 164.34/164.99 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 164.34/164.99 => 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) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__diff__nat,axiom,
% 164.34/164.99 ! [V_f_2,V_A_2,V_B_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.34/164.99 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__image__gen,axiom,
% 164.34/164.99 ! [V_f_2,T_d,V_g_2,V_S_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.34/164.99 => 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)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__diff1__nat,axiom,
% 164.34/164.99 ! [V_f_2,V_A_2,V_aa_2,T_b] :
% 164.34/164.99 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.99 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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_aa_2)) )
% 164.34/164.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.99 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__monoid__big_Oinfinite,axiom,
% 164.34/164.99 ! [V_g_2,V_A_2,V_F_2,V_z_2,V_f_2,T_c,T_b] :
% 164.34/164.99 ( c_Big__Operators_Ocomm__monoid__big(T_b,T_c,V_f_2,V_z_2,V_F_2)
% 164.34/164.99 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.34/164.99 => hAPP(hAPP(V_F_2,V_g_2),V_A_2) = V_z_2 ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__diff1,axiom,
% 164.34/164.99 ! [V_f_2,V_aa_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Oab__group__add(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.99 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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_aa_2)) )
% 164.34/164.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.99 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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) ) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__diff1__ring,axiom,
% 164.34/164.99 ! [V_f_2,V_aa_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Rings_Oring(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.99 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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_aa_2)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_SigmaE,axiom,
% 164.34/164.99 ! [V_B_2,V_A_2,V_ca_2,T_c,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_ca_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)))
% 164.34/164.99 => ~ ! [B_x] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.99 => ! [B_y] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(T_c),B_y),hAPP(V_B_2,B_x)))
% 164.34/164.99 => V_ca_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_map__pair__surj,axiom,
% 164.34/164.99 ! [V_g_2,T_d,T_e,V_f_2,T_b,T_c] :
% 164.34/164.99 ( 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))
% 164.34/164.99 => ( 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))
% 164.34/164.99 => 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)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_fold__Un__disjoint,axiom,
% 164.34/164.99 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.99 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.99 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) ) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__strict__mono,axiom,
% 164.34/164.99 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/164.99 & class_Groups_Oordered__cancel__ab__semigroup__add(T_c) )
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.99 => ( ! [B_x] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2))) ) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__diff1_H,axiom,
% 164.34/164.99 ! [V_f_2,V_aa_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/164.99 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_aa_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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum_Oremove,axiom,
% 164.34/164.99 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.99 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_map__pair__imageI,axiom,
% 164.34/164.99 ! [V_g_2,V_f_2,T_e,T_d,V_R_2,V_b_2,V_aa_2,T_c,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_b_2)),V_R_2))
% 164.34/164.99 => 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_aa_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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_map__pair__ident,axiom,
% 164.34/164.99 ! [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 ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__right__imp__eq,axiom,
% 164.34/164.99 ! [V_c,V_a,V_b,T_a] :
% 164.34/164.99 ( class_Groups_Ocancel__semigroup__add(T_a)
% 164.34/164.99 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_a) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)
% 164.34/164.99 => V_b = V_c ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__imp__eq,axiom,
% 164.34/164.99 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Ocancel__ab__semigroup__add(T_a)
% 164.34/164.99 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)
% 164.34/164.99 => V_b = V_c ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__left__imp__eq,axiom,
% 164.34/164.99 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Ocancel__semigroup__add(T_a)
% 164.34/164.99 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)
% 164.34/164.99 => V_b = V_c ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__right__cancel,axiom,
% 164.34/164.99 ! [V_ca_2,V_aa_2,V_b_2,T_b] :
% 164.34/164.99 ( class_Groups_Ocancel__semigroup__add(T_b)
% 164.34/164.99 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_aa_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_aa_2)
% 164.34/164.99 <=> V_b_2 = V_ca_2 ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__left__cancel,axiom,
% 164.34/164.99 ! [V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.34/164.99 ( class_Groups_Ocancel__semigroup__add(T_b)
% 164.34/164.99 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_aa_2),V_b_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_aa_2),V_ca_2)
% 164.34/164.99 <=> V_b_2 = V_ca_2 ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J,axiom,
% 164.34/164.99 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Oab__semigroup__add(T_a)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_one__reorient,axiom,
% 164.34/164.99 ! [V_x_2,T_b] :
% 164.34/164.99 ( class_Groups_Oone(T_b)
% 164.34/164.99 => ( c_Groups_Oone__class_Oone(T_b) = V_x_2
% 164.34/164.99 <=> V_x_2 = c_Groups_Oone__class_Oone(T_b) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Suc__eq__plus1__left,axiom,
% 164.34/164.99 ! [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) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Suc__eq__plus1,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_less__add__one,axiom,
% 164.34/164.99 ! [V_a,T_a] :
% 164.34/164.99 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/164.99 => 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)))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__le__cancel__right,axiom,
% 164.34/164.99 ! [V_b_2,V_ca_2,V_aa_2,T_b] :
% 164.34/164.99 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_aa_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_ca_2)))
% 164.34/164.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),V_b_2)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__le__cancel__left,axiom,
% 164.34/164.99 ! [V_b_2,V_aa_2,V_ca_2,T_b] :
% 164.34/164.99 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_aa_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_b_2)))
% 164.34/164.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),V_b_2)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__right__mono,axiom,
% 164.34/164.99 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__left__mono,axiom,
% 164.34/164.99 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__mono,axiom,
% 164.34/164.99 ! [V_d,V_c,V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Oordered__ab__semigroup__add(T_a)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__le__imp__le__right,axiom,
% 164.34/164.99 ! [V_b,V_c,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__le__imp__le__left,axiom,
% 164.34/164.99 ! [V_b,V_a,V_c,T_a] :
% 164.34/164.99 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__less__cancel__right,axiom,
% 164.34/164.99 ! [V_b_2,V_ca_2,V_aa_2,T_b] :
% 164.34/164.99 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_aa_2),V_ca_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_ca_2)))
% 164.34/164.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),V_b_2)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__less__cancel__left,axiom,
% 164.34/164.99 ! [V_b_2,V_aa_2,V_ca_2,T_b] :
% 164.34/164.99 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_b)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_aa_2)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_ca_2),V_b_2)))
% 164.34/164.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),V_b_2)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__strict__right__mono,axiom,
% 164.34/164.99 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__strict__left__mono,axiom,
% 164.34/164.99 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__strict__mono,axiom,
% 164.34/164.99 ! [V_d,V_c,V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__less__imp__less__right,axiom,
% 164.34/164.99 ! [V_b,V_c,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_c)))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__less__imp__less__left,axiom,
% 164.34/164.99 ! [V_b,V_a,V_c,T_a] :
% 164.34/164.99 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_a)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_c),V_b)))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__class_Odistrib,axiom,
% 164.34/164.99 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring(T_a)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_combine__common__factor,axiom,
% 164.34/164.99 ! [V_c,V_b,V_e,V_a,T_a] :
% 164.34/164.99 ( class_Rings_Osemiring(T_a)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_diff__add__cancel,axiom,
% 164.34/164.99 ! [V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Ogroup__add(T_a)
% 164.34/164.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_b)),V_b) = V_a ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__diff__cancel,axiom,
% 164.34/164.99 ! [V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Ogroup__add(T_a)
% 164.34/164.99 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b)),V_b) = V_a ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_mult_Ocomm__neutral,axiom,
% 164.34/164.99 ! [V_a,T_a] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__mult(T_a)
% 164.34/164.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_mult__1__right,axiom,
% 164.34/164.99 ! [V_a,T_a] :
% 164.34/164.99 ( class_Groups_Omonoid__mult(T_a)
% 164.34/164.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_mult__1,axiom,
% 164.34/164.99 ! [V_a,T_a] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__mult(T_a)
% 164.34/164.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_mult__1__left,axiom,
% 164.34/164.99 ! [V_a,T_a] :
% 164.34/164.99 ( class_Groups_Omonoid__mult(T_a)
% 164.34/164.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_minus__add__cancel,axiom,
% 164.34/164.99 ! [V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Ogroup__add(T_a)
% 164.34/164.99 => 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 ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__minus__cancel,axiom,
% 164.34/164.99 ! [V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Ogroup__add(T_a)
% 164.34/164.99 => 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 ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_minus__add,axiom,
% 164.34/164.99 ! [V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Ogroup__add(T_a)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_minus__add__distrib,axiom,
% 164.34/164.99 ! [V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Oab__group__add(T_a)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__Suc__right,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__Suc,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__Suc__shift,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_not__add__less1,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_not__add__less2,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__add__left__cancel__less,axiom,
% 164.34/164.99 ! [V_n_2,V_m_2,V_k_2] :
% 164.34/164.99 ( 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)))
% 164.34/164.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_trans__less__add1,axiom,
% 164.34/164.99 ! [V_m,V_j,V_i] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 164.34/164.99 => 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_trans__less__add2,axiom,
% 164.34/164.99 ! [V_m,V_j,V_i] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 164.34/164.99 => 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__less__mono1,axiom,
% 164.34/164.99 ! [V_k,V_j,V_i] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 164.34/164.99 => 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__less__mono,axiom,
% 164.34/164.99 ! [V_l,V_k,V_j,V_i] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 164.34/164.99 => 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))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_less__add__eq__less,axiom,
% 164.34/164.99 ! [V_n,V_m,V_l,V_k] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),V_l))
% 164.34/164.99 => ( 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)
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__lessD1,axiom,
% 164.34/164.99 ! [V_k,V_j,V_i] :
% 164.34/164.99 ( 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))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_k)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_termination__basic__simps_I2_J,axiom,
% 164.34/164.99 ! [V_y,V_z,V_x] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_z))
% 164.34/164.99 => 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_termination__basic__simps_I1_J,axiom,
% 164.34/164.99 ! [V_z,V_y,V_x] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x),V_y))
% 164.34/164.99 => 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_le__add2,axiom,
% 164.34/164.99 ! [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))) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_le__add1,axiom,
% 164.34/164.99 ! [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))) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_le__iff__add,axiom,
% 164.34/164.99 ! [V_n_2,V_m_2] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/164.99 <=> ? [B_k] : V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__add__left__cancel__le,axiom,
% 164.34/164.99 ! [V_n_2,V_m_2,V_k_2] :
% 164.34/164.99 ( 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)))
% 164.34/164.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_trans__le__add1,axiom,
% 164.34/164.99 ! [V_m,V_j,V_i] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 164.34/164.99 => 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_trans__le__add2,axiom,
% 164.34/164.99 ! [V_m,V_j,V_i] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 164.34/164.99 => 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__le__mono1,axiom,
% 164.34/164.99 ! [V_k,V_j,V_i] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 164.34/164.99 => 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__le__mono,axiom,
% 164.34/164.99 ! [V_l,V_k,V_j,V_i] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_l))
% 164.34/164.99 => 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))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__leD2,axiom,
% 164.34/164.99 ! [V_n,V_k,V_m] :
% 164.34/164.99 ( 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))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__leD1,axiom,
% 164.34/164.99 ! [V_n,V_k,V_m] :
% 164.34/164.99 ( 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))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__leE,axiom,
% 164.34/164.99 ! [V_n,V_k,V_m] :
% 164.34/164.99 ( 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))
% 164.34/164.99 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 164.34/164.99 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_termination__basic__simps_I4_J,axiom,
% 164.34/164.99 ! [V_y,V_z,V_x] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_z))
% 164.34/164.99 => 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_termination__basic__simps_I3_J,axiom,
% 164.34/164.99 ! [V_z,V_y,V_x] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x),V_y))
% 164.34/164.99 => 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_diff__add__inverse2,axiom,
% 164.34/164.99 ! [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 ).
% 164.34/164.99
% 164.34/164.99 fof(fact_diff__add__inverse,axiom,
% 164.34/164.99 ! [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 ).
% 164.34/164.99
% 164.34/164.99 fof(fact_diff__diff__left,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_diff__cancel,axiom,
% 164.34/164.99 ! [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) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_diff__cancel2,axiom,
% 164.34/164.99 ! [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) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__mult__distrib2,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__mult__distrib,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__mult__1,axiom,
% 164.34/164.99 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n) = V_n ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__1__eq__mult__iff,axiom,
% 164.34/164.99 ! [V_n_2,V_m_2] :
% 164.34/164.99 ( c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)
% 164.34/164.99 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 164.34/164.99 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__mult__1__right,axiom,
% 164.34/164.99 ! [V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_n ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__mult__eq__1__iff,axiom,
% 164.34/164.99 ! [V_n_2,V_m_2] :
% 164.34/164.99 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 164.34/164.99 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 164.34/164.99 & V_n_2 = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_map__pair__simp,axiom,
% 164.34/164.99 ! [V_b_2,V_aa_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_aa_2),V_b_2)) = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,V_aa_2)),hAPP(V_g_2,V_b_2)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_map__pair_Ocompositionality,axiom,
% 164.34/164.99 ! [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) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_map__pair__compose,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_map__pair_Ocomp,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__addf,axiom,
% 164.34/164.99 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__less__le__mono,axiom,
% 164.34/164.99 ! [V_d,V_c,V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__le__less__mono,axiom,
% 164.34/164.99 ! [V_d,V_c,V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Oordered__cancel__ab__semigroup__add(T_a)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_c)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_b),V_d))) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_eq__add__iff2,axiom,
% 164.34/164.99 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_b] :
% 164.34/164.99 ( class_Rings_Oring(T_b)
% 164.34/164.99 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_e_2)),V_ca_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)
% 164.34/164.99 <=> V_ca_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_aa_2)),V_e_2)),V_d_2) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_eq__add__iff1,axiom,
% 164.34/164.99 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_b] :
% 164.34/164.99 ( class_Rings_Oring(T_b)
% 164.34/164.99 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_e_2)),V_ca_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)
% 164.34/164.99 <=> 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_aa_2),V_b_2)),V_e_2)),V_ca_2) = V_d_2 ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_less__1__mult,axiom,
% 164.34/164.99 ! [V_n,V_m,T_a] :
% 164.34/164.99 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_m))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_n))
% 164.34/164.99 => 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))) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_diff__def,axiom,
% 164.34/164.99 ! [V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Ogroup__add(T_a)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_ab__diff__minus,axiom,
% 164.34/164.99 ! [V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Oab__group__add(T_a)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_diff__minus__eq__add,axiom,
% 164.34/164.99 ! [V_b,V_a,T_a] :
% 164.34/164.99 ( class_Groups_Ogroup__add(T_a)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_square__eq__1__iff,axiom,
% 164.34/164.99 ! [V_x_2,T_b] :
% 164.34/164.99 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 164.34/164.99 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_x_2),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 164.34/164.99 <=> ( V_x_2 = c_Groups_Oone__class_Oone(T_b)
% 164.34/164.99 | V_x_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_less__add__Suc1,axiom,
% 164.34/164.99 ! [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)))) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_less__add__Suc2,axiom,
% 164.34/164.99 ! [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)))) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_less__iff__Suc__add,axiom,
% 164.34/164.99 ! [V_n_2,V_m_2] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/164.99 <=> ? [B_k] : V_n_2 = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),B_k)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_mult__Suc__right,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_mult__Suc,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_less__diff__conv,axiom,
% 164.34/164.99 ! [V_k_2,V_j_2,V_i_2] :
% 164.34/164.99 ( 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)))
% 164.34/164.99 <=> 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__diff__inverse,axiom,
% 164.34/164.99 ! [V_n,V_m] :
% 164.34/164.99 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.34/164.99 => 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 ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_diff__diff__right,axiom,
% 164.34/164.99 ! [V_i,V_j,V_k] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_le__diff__conv,axiom,
% 164.34/164.99 ! [V_i_2,V_k_2,V_j_2] :
% 164.34/164.99 ( 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))
% 164.34/164.99 <=> 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_le__add__diff,axiom,
% 164.34/164.99 ! [V_m,V_n,V_k] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_n))
% 164.34/164.99 => 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_le__add__diff__inverse,axiom,
% 164.34/164.99 ! [V_m,V_n] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 164.34/164.99 => 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 ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__diff__assoc,axiom,
% 164.34/164.99 ! [V_i,V_j,V_k] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_le__diff__conv2,axiom,
% 164.34/164.99 ! [V_i_2,V_j_2,V_k_2] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k_2),V_j_2))
% 164.34/164.99 => ( 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)))
% 164.34/164.99 <=> 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)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_le__add__diff__inverse2,axiom,
% 164.34/164.99 ! [V_m,V_n] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 164.34/164.99 => 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 ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_le__imp__diff__is__add,axiom,
% 164.34/164.99 ! [V_k_2,V_j_2,V_i_2] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 164.34/164.99 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j_2),V_i_2) = V_k_2
% 164.34/164.99 <=> V_j_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_k_2),V_i_2) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_diff__add__assoc,axiom,
% 164.34/164.99 ! [V_i,V_j,V_k] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__diff__assoc2,axiom,
% 164.34/164.99 ! [V_i,V_j,V_k] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_diff__add__assoc2,axiom,
% 164.34/164.99 ! [V_i,V_j,V_k] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_diff__Suc__1,axiom,
% 164.34/164.99 ! [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 ).
% 164.34/164.99
% 164.34/164.99 fof(fact_diff__Suc__eq__diff__pred,axiom,
% 164.34/164.99 ! [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) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_inj__on__add__nat,axiom,
% 164.34/164.99 ! [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) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum_Odistrib,axiom,
% 164.34/164.99 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => 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)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_map__pair_Oidentity,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_le__add__iff2,axiom,
% 164.34/164.99 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_b] :
% 164.34/164.99 ( class_Rings_Oordered__ring(T_b)
% 164.34/164.99 => ( 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_aa_2),V_e_2)),V_ca_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)))
% 164.34/164.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_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_aa_2)),V_e_2)),V_d_2))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_le__add__iff1,axiom,
% 164.34/164.99 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_b] :
% 164.34/164.99 ( class_Rings_Oordered__ring(T_b)
% 164.34/164.99 => ( 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_aa_2),V_e_2)),V_ca_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)))
% 164.34/164.99 <=> 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_aa_2),V_b_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_less__add__iff2,axiom,
% 164.34/164.99 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_b] :
% 164.34/164.99 ( class_Rings_Oordered__ring(T_b)
% 164.34/164.99 => ( 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_aa_2),V_e_2)),V_ca_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)))
% 164.34/164.99 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_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_aa_2)),V_e_2)),V_d_2))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_less__add__iff1,axiom,
% 164.34/164.99 ! [V_d_2,V_b_2,V_ca_2,V_e_2,V_aa_2,T_b] :
% 164.34/164.99 ( class_Rings_Oordered__ring(T_b)
% 164.34/164.99 => ( 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_aa_2),V_e_2)),V_ca_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)))
% 164.34/164.99 <=> 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_aa_2),V_b_2)),V_e_2)),V_ca_2)),V_d_2)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_diff__Suc__diff__eq1,axiom,
% 164.34/164.99 ! [V_m,V_j,V_k] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_diff__Suc__diff__eq2,axiom,
% 164.34/164.99 ! [V_m,V_j,V_k] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_k),V_j))
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_map__pair_Oid,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_map__pair__def,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_fold__image__distrib,axiom,
% 164.34/164.99 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => 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)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum_Oinsert,axiom,
% 164.34/164.99 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.99 => 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)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__insert,axiom,
% 164.34/164.99 ! [V_f_2,V_aa_2,V_F_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 164.34/164.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_F_2))
% 164.34/164.99 => 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_aa_2),V_F_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_aa_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_F_2)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__Un__Int,axiom,
% 164.34/164.99 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__Un__nat,axiom,
% 164.34/164.99 ! [V_f_2,V_B_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.99 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_map__pair__surj__on,axiom,
% 164.34/164.99 ! [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] :
% 164.34/164.99 ( hAPP(c_Set_Oimage(T_c,T_b,V_f_2),V_A_2) = V_A_H_2
% 164.34/164.99 => ( hAPP(c_Set_Oimage(T_e,T_d,V_g_2),V_B_2) = V_B_H_2
% 164.34/164.99 => 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)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum_Oinsert__remove,axiom,
% 164.34/164.99 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_g_2,V_x_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__Un__disjoint,axiom,
% 164.34/164.99 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.99 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.99 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__Un,axiom,
% 164.34/164.99 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Oab__group__add(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.99 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_c),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_fold__image__Un__Int,axiom,
% 164.34/164.99 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_A_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),V_B_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_g_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__cases,axiom,
% 164.34/164.99 ! [V_g_2,V_f_2,V_Pa_2,V_A_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => 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_Pa_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_Pa_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_Pa_2))))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_wf__map__pair__image,axiom,
% 164.34/164.99 ! [V_f_2,T_c,V_r_2,T_b] :
% 164.34/164.99 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/164.99 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.34/164.99 => 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)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_map__pair__inj__on,axiom,
% 164.34/164.99 ! [V_B_2,V_g_2,T_e,T_d,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.99 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.99 => ( c_Fun_Oinj__on(T_d,T_e,V_g_2,V_B_2)
% 164.34/164.99 => 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))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__less__add__iff1,axiom,
% 164.34/164.99 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 164.34/164.99 => ( 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)))
% 164.34/164.99 <=> 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)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__less__add__iff2,axiom,
% 164.34/164.99 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 164.34/164.99 => ( 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)))
% 164.34/164.99 <=> 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))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__le__add__iff1,axiom,
% 164.34/164.99 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 164.34/164.99 => ( 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)))
% 164.34/164.99 <=> 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)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__diff__add__eq1,axiom,
% 164.34/164.99 ! [V_n,V_m,V_u,V_i,V_j] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__eq__add__iff1,axiom,
% 164.34/164.99 ! [V_n_2,V_m_2,V_u_2,V_i_2,V_j_2] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2))
% 164.34/164.99 => ( 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)
% 164.34/164.99 <=> 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 ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__le__add__iff2,axiom,
% 164.34/164.99 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 164.34/164.99 => ( 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)))
% 164.34/164.99 <=> 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))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__add__right__cancel,axiom,
% 164.34/164.99 ! [V_n_2,V_k_2,V_m_2] :
% 164.34/164.99 ( 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)
% 164.34/164.99 <=> V_m_2 = V_n_2 ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__add__left__cancel,axiom,
% 164.34/164.99 ! [V_n_2,V_m_2,V_k_2] :
% 164.34/164.99 ( 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)
% 164.34/164.99 <=> V_m_2 = V_n_2 ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__add__assoc,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__add__left__commute,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__add__commute,axiom,
% 164.34/164.99 ! [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) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_left__add__mult__distrib,axiom,
% 164.34/164.99 ! [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) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__eq__add__iff2,axiom,
% 164.34/164.99 ! [V_n_2,V_m_2,V_u_2,V_j_2,V_i_2] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 164.34/164.99 => ( 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)
% 164.34/164.99 <=> 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) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_nat__diff__add__eq2,axiom,
% 164.34/164.99 ! [V_n,V_m,V_u,V_j,V_i] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,axiom,
% 164.34/164.99 ! [V_x,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__ring__1(T_a)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,axiom,
% 164.34/164.99 ! [V_y,V_x,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__ring__1(T_a)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,axiom,
% 164.34/164.99 ! [V_m,V_a,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,axiom,
% 164.34/164.99 ! [V_a,V_m,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,axiom,
% 164.34/164.99 ! [V_m,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_setsum__Sigma,axiom,
% 164.34/164.99 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__add(T_d)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( ! [B_x] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.99 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 164.34/164.99 => 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)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,axiom,
% 164.34/164.99 ! [V_c,V_a,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,axiom,
% 164.34/164.99 ! [V_d,V_c,V_a,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,axiom,
% 164.34/164.99 ! [V_d,V_c,V_a,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,axiom,
% 164.34/164.99 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,axiom,
% 164.34/164.99 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,axiom,
% 164.34/164.99 ! [V_d,V_c,V_b,V_a,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,axiom,
% 164.34/164.99 ! [V_b,V_a,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,axiom,
% 164.34/164.99 ! [V_ry,V_rx,V_lx,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,axiom,
% 164.34/164.99 ! [V_ry,V_rx,V_lx,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,axiom,
% 164.34/164.99 ! [V_rx,V_ly,V_lx,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,axiom,
% 164.34/164.99 ! [V_rx,V_ly,V_lx,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,axiom,
% 164.34/164.99 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,axiom,
% 164.34/164.99 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,axiom,
% 164.34/164.99 ! [V_ry,V_rx,V_ly,V_lx,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,axiom,
% 164.34/164.99 ! [V_z,V_y,V_x,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_crossproduct__noteq,axiom,
% 164.34/164.99 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.34/164.99 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 164.34/164.99 => ( ( V_aa_2 != V_b_2
% 164.34/164.99 & V_ca_2 != V_d_2 )
% 164.34/164.99 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_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_aa_2),V_d_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_ca_2)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,axiom,
% 164.34/164.99 ! [V_c,V_b,V_a,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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)) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,axiom,
% 164.34/164.99 ! [V_b,V_m,V_a,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_crossproduct__eq,axiom,
% 164.34/164.99 ! [V_z_2,V_x_2,V_y_2,V_w_2,T_b] :
% 164.34/164.99 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 164.34/164.99 => ( 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))
% 164.34/164.99 <=> ( V_w_2 = V_x_2
% 164.34/164.99 | V_y_2 = V_z_2 ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,axiom,
% 164.34/164.99 ! [V_a,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),c_Groups_Oone__class_Oone(T_a)),V_a) = V_a ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,axiom,
% 164.34/164.99 ! [V_a,T_a] :
% 164.34/164.99 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/164.99 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_fold__image__Sigma,axiom,
% 164.34/164.99 ! [V_g_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__mult(T_d)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( ! [B_x] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/164.99 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 164.34/164.99 => 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)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_fold__image__Un__one,axiom,
% 164.34/164.99 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 164.34/164.99 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 164.34/164.99 => ( ! [B_x] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 164.34/164.99 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 164.34/164.99 => hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_S_2)),hAPP(hAPP(hAPP(c_Finite__Set_Ofold__image(T_c,T_b,c_Groups_Otimes__class_Otimes(T_c)),V_f_2),c_Groups_Oone__class_Oone(T_c)),V_T_2)) ) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_prod__fun__imageE,axiom,
% 164.34/164.99 ! [V_R_2,V_g_2,V_f_2,T_e,T_d,V_ca_2,T_c,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_ca_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)))
% 164.34/164.99 => ~ ! [B_x,B_y] :
% 164.34/164.99 ( V_ca_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_y))
% 164.34/164.99 => ~ 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)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__Min__commute,axiom,
% 164.34/164.99 ! [V_k_2,V_N_2,T_b] :
% 164.34/164.99 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 164.34/164.99 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.99 => 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))))) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_add__Max__commute,axiom,
% 164.34/164.99 ! [V_k_2,V_N_2,T_b] :
% 164.34/164.99 ( class_Groups_Olinordered__ab__semigroup__add(T_b)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 164.34/164.99 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.99 => 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))))) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__Diff__singleton__if,axiom,
% 164.34/164.99 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.99 => 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)) )
% 164.34/164.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.99 => 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) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__cartesian__product,axiom,
% 164.34/164.99 ! [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)) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__UNIV__unit,axiom,
% 164.34/164.99 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) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_bij__betw__same__card,axiom,
% 164.34/164.99 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.99 ( c_Fun_Obij__betw(T_b,T_c,V_f_2,V_A_2,V_B_2)
% 164.34/164.99 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__cartesian__product__singleton,axiom,
% 164.34/164.99 ! [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) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__eq__UNIV__imp__eq__UNIV,axiom,
% 164.34/164.99 ! [V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 164.34/164.99 => ( 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)))
% 164.34/164.99 => V_A_2 = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__image,axiom,
% 164.34/164.99 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.99 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.99 => 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) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_BIJ,axiom,
% 164.34/164.99 ! [V_B_2,T_c,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 164.34/164.99 => ( ? [B_f] : c_Fun_Obij__betw(T_b,T_c,B_f,V_A_2,V_B_2)
% 164.34/164.99 <=> hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_minus__Min__eq__Max,axiom,
% 164.34/164.99 ! [V_S_2,T_b] :
% 164.34/164.99 ( class_Groups_Olinordered__ab__group__add(T_b)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.34/164.99 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.99 => 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)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_minus__Max__eq__Min,axiom,
% 164.34/164.99 ! [V_S_2,T_b] :
% 164.34/164.99 ( class_Groups_Olinordered__ab__group__add(T_b)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.34/164.99 => ( V_S_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.99 => 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)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Max_Osingleton,axiom,
% 164.34/164.99 ! [V_x_2,T_b] :
% 164.34/164.99 ( class_Orderings_Olinorder(T_b)
% 164.34/164.99 => 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 ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Min_Osingleton,axiom,
% 164.34/164.99 ! [V_x_2,T_b] :
% 164.34/164.99 ( class_Orderings_Olinorder(T_b)
% 164.34/164.99 => 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 ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__eq__setsum,axiom,
% 164.34/164.99 ! [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) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__insert__le,axiom,
% 164.34/164.99 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => 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)))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__seteq,axiom,
% 164.34/164.99 ! [V_A_2,V_B_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.99 => ( 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)))
% 164.34/164.99 => V_A_2 = V_B_2 ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__mono,axiom,
% 164.34/164.99 ! [V_A_2,V_B_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.99 => 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))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__image__le,axiom,
% 164.34/164.99 ! [V_f_2,T_c,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_inj__on__iff__eq__card,axiom,
% 164.34/164.99 ! [V_f_2,T_c,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.99 <=> 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) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_eq__card__imp__inj__on,axiom,
% 164.34/164.99 ! [V_f_2,T_c,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( 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)
% 164.34/164.99 => c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_pigeonhole,axiom,
% 164.34/164.99 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.99 ( 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)))
% 164.34/164.99 => ~ c_Fun_Oinj__on(T_c,T_b,V_f_2,V_A_2) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__quotient__disjoint,axiom,
% 164.34/164.99 ! [V_r_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( 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)
% 164.34/164.99 => 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) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_psubset__card__mono,axiom,
% 164.34/164.99 ! [V_A_2,V_B_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.99 => 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))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Max__ge,axiom,
% 164.34/164.99 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.99 ( class_Orderings_Olinorder(T_b)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.99 => 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))) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Min__le,axiom,
% 164.34/164.99 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.99 ( class_Orderings_Olinorder(T_b)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.99 => 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)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Max__in,axiom,
% 164.34/164.99 ! [V_A_2,T_b] :
% 164.34/164.99 ( class_Orderings_Olinorder(T_b)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Min__in,axiom,
% 164.34/164.99 ! [V_A_2,T_b] :
% 164.34/164.99 ( class_Orderings_Olinorder(T_b)
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__insert__if,axiom,
% 164.34/164.99 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.99 => 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) )
% 164.34/164.99 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.99 => 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)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__insert__disjoint,axiom,
% 164.34/164.99 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.99 => 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)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card_Ounion__inter,axiom,
% 164.34/164.99 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__Un__Int,axiom,
% 164.34/164.99 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.99 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))),hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__bij__eq,axiom,
% 164.34/164.99 ! [V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.99 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.99 => ( 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))
% 164.34/164.99 => ( c_Fun_Oinj__on(T_c,T_b,V_g_2,V_B_2)
% 164.34/164.99 => ( 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))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 164.34/164.99 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Finite__Set_Ocard(T_c),V_B_2) ) ) ) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__Diff__subset,axiom,
% 164.34/164.99 ! [V_A_2,V_B_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.34/164.99 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),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)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__Diff__subset__Int,axiom,
% 164.34/164.99 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.99 ( 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)))
% 164.34/164.99 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_diff__card__le__card__Diff,axiom,
% 164.34/164.99 ! [V_A_2,V_B_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.99 => 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)))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__psubset,axiom,
% 164.34/164.99 ! [V_A_2,V_B_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/164.99 => ( 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)))
% 164.34/164.99 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Max__mono,axiom,
% 164.34/164.99 ! [V_N_2,V_M_2,T_b] :
% 164.34/164.99 ( class_Orderings_Olinorder(T_b)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 164.34/164.99 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 164.34/164.99 => 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))) ) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_Min__antimono,axiom,
% 164.34/164.99 ! [V_N_2,V_M_2,T_b] :
% 164.34/164.99 ( class_Orderings_Olinorder(T_b)
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_M_2),V_N_2))
% 164.34/164.99 => ( V_M_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 164.34/164.99 => 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))) ) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__insert,axiom,
% 164.34/164.99 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => 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)))))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__Un__disjoint,axiom,
% 164.34/164.99 ! [V_B_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/164.99 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/164.99 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__Diff1__le,axiom,
% 164.34/164.99 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => 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))) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card_Oinsert,axiom,
% 164.34/164.99 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.99 => 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)) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_inj__on__iff__card__le,axiom,
% 164.34/164.99 ! [V_B_2,T_c,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 164.34/164.99 => ( ? [B_f] :
% 164.34/164.99 ( c_Fun_Oinj__on(T_b,T_c,B_f,V_A_2)
% 164.34/164.99 & 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)) )
% 164.34/164.99 <=> 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))) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__inj__on__le,axiom,
% 164.34/164.99 ! [V_B_2,V_A_2,V_f_2,T_c,T_b] :
% 164.34/164.99 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.34/164.99 => ( 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))
% 164.34/164.99 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 164.34/164.99 => 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))) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__Suc__Diff1,axiom,
% 164.34/164.99 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.99 => 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) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__Diff1__less,axiom,
% 164.34/164.99 ! [V_x_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.99 => 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))) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__Diff2__less,axiom,
% 164.34/164.99 ! [V_y_2,V_x_2,V_A_2,T_b] :
% 164.34/164.99 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/164.99 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),V_A_2))
% 164.34/164.99 => 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))) ) ) ) ).
% 164.34/164.99
% 164.34/164.99 fof(fact_card__Diff__insert,axiom,
% 164.34/164.99 ! [V_B_2,V_aa_2,V_A_2,T_b] :
% 164.34/165.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/165.00 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_B_2))
% 164.34/165.00 => 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_aa_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)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card_Oinsert__remove,axiom,
% 164.34/165.00 ! [V_x_2,V_A_2,T_b] :
% 164.34/165.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => 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)))))) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card_Oremove,axiom,
% 164.34/165.00 ! [V_x_2,V_A_2,T_b] :
% 164.34/165.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/165.00 => 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)))))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card__Diff__singleton,axiom,
% 164.34/165.00 ! [V_x_2,V_A_2,T_b] :
% 164.34/165.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/165.00 => 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)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum__multicount,axiom,
% 164.34/165.00 ! [V_k_2,V_R_2,V_T_2,T_c,V_S_2,T_b] :
% 164.34/165.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_T_2))
% 164.34/165.00 => ( ! [B_x] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_T_2))
% 164.34/165.00 => 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 )
% 164.34/165.00 => 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)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_finite__fun__UNIVD1,axiom,
% 164.34/165.00 ! [T_c,T_b] :
% 164.34/165.00 ( 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))))
% 164.34/165.00 => ( 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))
% 164.34/165.00 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum__multicount__gen,axiom,
% 164.34/165.00 ! [V_k_2,V_R_2,V_t_2,T_c,V_s_2,T_b] :
% 164.34/165.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_t_2))
% 164.34/165.00 => ( ! [B_x] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_t_2))
% 164.34/165.00 => 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) )
% 164.34/165.00 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_Nat_Onat,T_b),c_Finite__Set_Ocard(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),c_Set_OCollect(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_t_2)))),V_R_2)))),V_s_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,tc_Nat_Onat),V_k_2),V_t_2) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Min_Oremove,axiom,
% 164.34/165.00 ! [V_x_2,V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/165.00 => ( ( 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))
% 164.34/165.00 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 )
% 164.34/165.00 & ( 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))
% 164.34/165.00 => 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)))))) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card__SigmaI,axiom,
% 164.34/165.00 ! [V_B_2,T_c,V_A_2,T_b] :
% 164.34/165.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( ! [B_x] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/165.00 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 164.34/165.00 => 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) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_less__zeroE,axiom,
% 164.34/165.00 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_le0,axiom,
% 164.34/165.00 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_zero__less__Suc,axiom,
% 164.34/165.00 ! [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))) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Ole__infE,axiom,
% 164.34/165.00 ! [V_b,V_a,V_x,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => ( 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)))
% 164.34/165.00 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 164.34/165.00 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oinf__mono,axiom,
% 164.34/165.00 ! [V_d,V_b,V_c,V_a,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oinf__greatest,axiom,
% 164.34/165.00 ! [V_z,V_y,V_x,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_z))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Ole__infI,axiom,
% 164.34/165.00 ! [V_b,V_a,V_x,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oinf__absorb2,axiom,
% 164.34/165.00 ! [V_x,V_y,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 164.34/165.00 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_y ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oinf__absorb1,axiom,
% 164.34/165.00 ! [V_y,V_x,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.34/165.00 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = V_x ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Ole__infI2,axiom,
% 164.34/165.00 ! [V_a,V_x,V_b,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 164.34/165.00 => 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)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Ole__infI1,axiom,
% 164.34/165.00 ! [V_b,V_x,V_a,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 164.34/165.00 => 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)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Ole__inf__iff,axiom,
% 164.34/165.00 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( 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)))
% 164.34/165.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Ole__iff__inf,axiom,
% 164.34/165.00 ! [V_y_2,V_x_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 164.34/165.00 <=> hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_x_2),V_y_2) = V_x_2 ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oinf__le2,axiom,
% 164.34/165.00 ! [V_y,V_x,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => 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)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oinf__le1,axiom,
% 164.34/165.00 ! [V_y,V_x,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => 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)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__le__iff__disj,axiom,
% 164.34/165.00 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( 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))
% 164.34/165.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 164.34/165.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Min_Oidem,axiom,
% 164.34/165.00 ! [V_x,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_x) = V_x ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oinf__assoc,axiom,
% 164.34/165.00 ! [V_z,V_y,V_x,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)),V_z) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oinf_Oassoc,axiom,
% 164.34/165.00 ! [V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)),V_c) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oinf__left__commute,axiom,
% 164.34/165.00 ! [V_z,V_y,V_x,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_z)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_z)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oinf_Oleft__commute,axiom,
% 164.34/165.00 ! [V_c,V_a,V_b,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_c)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_c)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oinf__left__idem,axiom,
% 164.34/165.00 ! [V_y,V_x,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oinf_Oleft__idem,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oinf__commute,axiom,
% 164.34/165.00 ! [V_y,V_x,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_x),V_y) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_y),V_x) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oinf_Ocommute,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_b) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_b),V_a) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oinf_Oidem,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_a),V_a),V_a) = V_a ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_zero__reorient,axiom,
% 164.34/165.00 ! [V_x_2,T_b] :
% 164.34/165.00 ( class_Groups_Ozero(T_b)
% 164.34/165.00 => ( c_Groups_Ozero__class_Ozero(T_b) = V_x_2
% 164.34/165.00 <=> V_x_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__0R,axiom,
% 164.34/165.00 ! [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) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__0L,axiom,
% 164.34/165.00 ! [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) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__Suc1,axiom,
% 164.34/165.00 ! [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) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__Suc2,axiom,
% 164.34/165.00 ! [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) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_bot__nat__def,axiom,
% 164.34/165.00 c_Orderings_Obot__class_Obot(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oless__infI1,axiom,
% 164.34/165.00 ! [V_b,V_x,V_a,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_x))
% 164.34/165.00 => 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)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Oless__infI2,axiom,
% 164.34/165.00 ! [V_a,V_x,V_b,T_a] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_x))
% 164.34/165.00 => 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)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__less__iff__disj,axiom,
% 164.34/165.00 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( 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))
% 164.34/165.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 164.34/165.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__less__iff__conj,axiom,
% 164.34/165.00 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( 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)))
% 164.34/165.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__add__distrib__left,axiom,
% 164.34/165.00 ! [V_z,V_y,V_x,T_a] :
% 164.34/165.00 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 164.34/165.00 => 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)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__diff__distrib__left,axiom,
% 164.34/165.00 ! [V_z,V_y,V_x,T_a] :
% 164.34/165.00 ( class_Groups_Oordered__ab__group__add(T_a)
% 164.34/165.00 => 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)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_inf__min,axiom,
% 164.34/165.00 ! [T_b] :
% 164.34/165.00 ( ( class_Lattices_Osemilattice__inf(T_b)
% 164.34/165.00 & class_Orderings_Olinorder(T_b) )
% 164.34/165.00 => c_Lattices_Osemilattice__inf__class_Oinf(T_b) = c_Orderings_Oord__class_Omin(T_b) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__Suc__Suc,axiom,
% 164.34/165.00 ! [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)) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__diff,axiom,
% 164.34/165.00 ! [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) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__0__iff,axiom,
% 164.34/165.00 ! [V_aa_2,V_b_2,T_b] :
% 164.34/165.00 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_b)
% 164.34/165.00 => ( V_b_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_b_2),V_aa_2)
% 164.34/165.00 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add_Ocomm__neutral,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Groups_Ocomm__monoid__add(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__0__right,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Groups_Omonoid__add(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_double__zero__sym,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 164.34/165.00 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_aa_2),V_aa_2)
% 164.34/165.00 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__0,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Groups_Ocomm__monoid__add(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__0__left,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Groups_Omonoid__add(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a) = V_a ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/165.00 => 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) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/165.00 => 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) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__zero__left,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Rings_Omult__zero(T_a)
% 164.34/165.00 => 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) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__zero__right,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Rings_Omult__zero(T_a)
% 164.34/165.00 => 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) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__eq__0__iff,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,T_b] :
% 164.34/165.00 ( class_Rings_Oring__no__zero__divisors(T_b)
% 164.34/165.00 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 164.34/165.00 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_b)
% 164.34/165.00 | V_b_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_no__zero__divisors,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Ono__zero__divisors(T_a)
% 164.34/165.00 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.00 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) != c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_divisors__zero,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Ono__zero__divisors(T_a)
% 164.34/165.00 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.00 => ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.00 | V_b = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_diff__0__right,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Groups_Ogroup__add(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_diff__self,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Groups_Ogroup__add(T_a)
% 164.34/165.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_eq__iff__diff__eq__0,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Oab__group__add(T_b)
% 164.34/165.00 => ( V_aa_2 = V_b_2
% 164.34/165.00 <=> hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_aa_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_right__minus__eq,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Ogroup__add(T_b)
% 164.34/165.00 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_aa_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b)
% 164.34/165.00 <=> V_aa_2 = V_b_2 ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_zero__neq__one,axiom,
% 164.34/165.00 ! [T_a] :
% 164.34/165.00 ( class_Rings_Ozero__neq__one(T_a)
% 164.34/165.00 => c_Groups_Ozero__class_Ozero(T_a) != c_Groups_Oone__class_Oone(T_a) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_one__neq__zero,axiom,
% 164.34/165.00 ! [T_a] :
% 164.34/165.00 ( class_Rings_Ozero__neq__one(T_a)
% 164.34/165.00 => c_Groups_Oone__class_Oone(T_a) != c_Groups_Ozero__class_Ozero(T_a) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_neg__equal__zero,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 164.34/165.00 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2) = V_aa_2
% 164.34/165.00 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_neg__equal__0__iff__equal,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Ogroup__add(T_b)
% 164.34/165.00 => ( hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2) = c_Groups_Ozero__class_Ozero(T_b)
% 164.34/165.00 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_equal__neg__zero,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 164.34/165.00 => ( V_aa_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2)
% 164.34/165.00 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_neg__0__equal__iff__equal,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Ogroup__add(T_b)
% 164.34/165.00 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2)
% 164.34/165.00 <=> c_Groups_Ozero__class_Ozero(T_b) = V_aa_2 ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_minus__zero,axiom,
% 164.34/165.00 ! [T_a] :
% 164.34/165.00 ( class_Groups_Ogroup__add(T_a)
% 164.34/165.00 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Zero__not__Suc,axiom,
% 164.34/165.00 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_nat_Osimps_I2_J,axiom,
% 164.34/165.00 ! [V_nat_H] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_nat_H) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Suc__not__Zero,axiom,
% 164.34/165.00 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_nat_Osimps_I3_J,axiom,
% 164.34/165.00 ! [V_nat_H_1] : hAPP(c_Nat_OSuc,V_nat_H_1) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Zero__neq__Suc,axiom,
% 164.34/165.00 ! [V_m] : c_Groups_Ozero__class_Ozero(tc_Nat_Onat) != hAPP(c_Nat_OSuc,V_m) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Suc__neq__Zero,axiom,
% 164.34/165.00 ! [V_m] : hAPP(c_Nat_OSuc,V_m) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_not__less0,axiom,
% 164.34/165.00 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_neq0__conv,axiom,
% 164.34/165.00 ! [V_n_2] :
% 164.34/165.00 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_less__nat__zero__code,axiom,
% 164.34/165.00 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_gr__implies__not0,axiom,
% 164.34/165.00 ! [V_n,V_m] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.34/165.00 => V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_gr0I,axiom,
% 164.34/165.00 ! [V_n] :
% 164.34/165.00 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_plus__nat_Oadd__0,axiom,
% 164.34/165.00 ! [V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Nat_Oadd__0__right,axiom,
% 164.34/165.00 ! [V_m] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__is__0,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2] :
% 164.34/165.00 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__eq__self__zero,axiom,
% 164.34/165.00 ! [V_n,V_m] :
% 164.34/165.00 ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_m
% 164.34/165.00 => V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_less__eq__nat_Osimps_I1_J,axiom,
% 164.34/165.00 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n)) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_le__0__eq,axiom,
% 164.34/165.00 ! [V_n_2] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 164.34/165.00 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_diff__0__eq__0,axiom,
% 164.34/165.00 ! [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) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_minus__nat_Odiff__0,axiom,
% 164.34/165.00 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_m ).
% 164.34/165.00
% 164.34/165.00 fof(fact_diff__self__eq__0,axiom,
% 164.34/165.00 ! [V_m] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_diffs0__imp__equal,axiom,
% 164.34/165.00 ! [V_n,V_m] :
% 164.34/165.00 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 => ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 => V_m = V_n ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__0,axiom,
% 164.34/165.00 ! [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) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__0__right,axiom,
% 164.34/165.00 ! [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) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__is__0,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2] :
% 164.34/165.00 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__cancel1,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2,V_k_2] :
% 164.34/165.00 ( 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)
% 164.34/165.00 <=> ( V_m_2 = V_n_2
% 164.34/165.00 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__cancel2,axiom,
% 164.34/165.00 ! [V_n_2,V_k_2,V_m_2] :
% 164.34/165.00 ( 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)
% 164.34/165.00 <=> ( V_m_2 = V_n_2
% 164.34/165.00 | V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_nat__mult__eq__cancel__disj,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2,V_k_2] :
% 164.34/165.00 ( 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)
% 164.34/165.00 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 | V_m_2 = V_n_2 ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Ofun__left__comm__idem__inf,axiom,
% 164.34/165.00 ! [T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_nat__case__0,axiom,
% 164.34/165.00 ! [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 ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum__0,axiom,
% 164.34/165.00 ! [V_A_2,T_c,T_b] :
% 164.34/165.00 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.34/165.00 => 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) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__nonpos__nonpos,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__increasing2,axiom,
% 164.34/165.00 ! [V_a,V_b,V_c,T_a] :
% 164.34/165.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__increasing,axiom,
% 164.34/165.00 ! [V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__nonneg__eq__0__iff,axiom,
% 164.34/165.00 ! [V_y_2,V_x_2,T_b] :
% 164.34/165.00 ( class_Groups_Oordered__comm__monoid__add(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_x_2))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_y_2))
% 164.34/165.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2) = c_Groups_Ozero__class_Ozero(T_b)
% 164.34/165.00 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 164.34/165.00 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__nonneg__nonneg,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_double__add__le__zero__iff__single__add__le__zero,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_aa_2),V_aa_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_zero__le__double__add__iff__zero__le__single__add,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 164.34/165.00 => ( 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_aa_2),V_aa_2)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_zero__le__square,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__ring(T_a)
% 164.34/165.00 => 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))) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_zero__le__mult__iff,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,T_b] :
% 164.34/165.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 164.34/165.00 => ( 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_aa_2),V_b_2)))
% 164.34/165.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 164.34/165.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__le__0__iff,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,T_b] :
% 164.34/165.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 164.34/165.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 164.34/165.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__nonneg__nonneg,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__nonneg__nonpos,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__nonneg__nonpos2,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__nonpos__nonneg,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__nonpos__nonpos,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Oordered__ring(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__right__mono,axiom,
% 164.34/165.00 ! [V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Oordered__semiring(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__left__mono,axiom,
% 164.34/165.00 ! [V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Oordered__semiring(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_comm__mult__left__mono,axiom,
% 164.34/165.00 ! [V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Oordered__comm__semiring(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__right__mono__neg,axiom,
% 164.34/165.00 ! [V_c,V_a,V_b,T_a] :
% 164.34/165.00 ( class_Rings_Oordered__ring(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__left__mono__neg,axiom,
% 164.34/165.00 ! [V_c,V_a,V_b,T_a] :
% 164.34/165.00 ( class_Rings_Oordered__ring(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__mono_H,axiom,
% 164.34/165.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Oordered__semiring(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => 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))) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__mono,axiom,
% 164.34/165.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Oordered__semiring(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => 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))) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_split__mult__pos__le,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Oordered__ring(T_a)
% 164.34/165.00 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) )
% 164.34/165.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 164.34/165.00 => 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))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_split__mult__neg__le,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Oordered__cancel__semiring(T_a)
% 164.34/165.00 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) )
% 164.34/165.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) )
% 164.34/165.00 => 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))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_zero__less__double__add__iff__zero__less__single__add,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 164.34/165.00 => ( 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_aa_2),V_aa_2)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_double__add__less__zero__iff__single__add__less__zero,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_aa_2),V_aa_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__pos__pos,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__neg__neg,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_pos__add__strict,axiom,
% 164.34/165.00 ! [V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__strict__left__mono__neg,axiom,
% 164.34/165.00 ! [V_c,V_a,V_b,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__ring__strict(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__strict__right__mono__neg,axiom,
% 164.34/165.00 ! [V_c,V_a,V_b,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__ring__strict(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_comm__mult__strict__left__mono,axiom,
% 164.34/165.00 ! [V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__comm__semiring__strict(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__strict__left__mono,axiom,
% 164.34/165.00 ! [V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__strict__right__mono,axiom,
% 164.34/165.00 ! [V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__neg__neg,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__ring__strict(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__neg__pos,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__less__cancel__left__neg,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,V_ca_2,T_b] :
% 164.34/165.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_aa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_aa_2)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_zero__less__mult__pos2,axiom,
% 164.34/165.00 ! [V_a,V_b,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 164.34/165.00 => ( 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)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_zero__less__mult__pos,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 164.34/165.00 => ( 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)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__pos__neg2,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__pos__neg,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__pos__pos,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__less__cancel__left__pos,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,V_ca_2,T_b] :
% 164.34/165.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_aa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),V_b_2)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__less__cancel__left__disj,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,V_ca_2,T_b] :
% 164.34/165.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_aa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2)))
% 164.34/165.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),V_b_2)) )
% 164.34/165.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_aa_2)) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__less__cancel__right__disj,axiom,
% 164.34/165.00 ! [V_b_2,V_ca_2,V_aa_2,T_b] :
% 164.34/165.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_b_2),V_ca_2)))
% 164.34/165.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),V_b_2)) )
% 164.34/165.00 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_aa_2)) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_not__square__less__zero,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__ring(T_a)
% 164.34/165.00 => ~ 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))) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_le__iff__diff__le__0,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),V_b_2))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_aa_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_less__iff__diff__less__0,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),V_b_2))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_aa_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__scale__eq__noteq,axiom,
% 164.34/165.00 ! [V_d,V_c,V_b,V_a,V_r,T_a] :
% 164.34/165.00 ( class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(T_a)
% 164.34/165.00 => ( V_r != c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.00 => ( ( V_a = V_b
% 164.34/165.00 & V_c != V_d )
% 164.34/165.00 => 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)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_sum__squares__eq__zero__iff,axiom,
% 164.34/165.00 ! [V_y_2,V_x_2,T_b] :
% 164.34/165.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 164.34/165.00 => ( 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)
% 164.34/165.00 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 164.34/165.00 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_not__one__le__zero,axiom,
% 164.34/165.00 ! [T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.00 => ~ 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))) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_zero__le__one,axiom,
% 164.34/165.00 ! [T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.00 => 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))) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_not__one__less__zero,axiom,
% 164.34/165.00 ! [T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.00 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),c_Groups_Ozero__class_Ozero(T_a))) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_zero__less__one,axiom,
% 164.34/165.00 ! [T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),c_Groups_Oone__class_Oone(T_a))) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_neg__0__le__iff__le,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/165.00 => ( 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_aa_2)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_le__minus__self__iff,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_neg__le__0__iff__le,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_minus__le__self__iff,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2)),V_aa_2))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_less__minus__self__iff,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Rings_Olinordered__idom(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_neg__less__nonneg,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2)),V_aa_2))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_neg__less__0__iff__less,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_neg__0__less__iff__less,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/165.00 => ( 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_aa_2)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_right__minus,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Groups_Ogroup__add(T_a)
% 164.34/165.00 => 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) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_eq__neg__iff__add__eq__0,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Ogroup__add(T_b)
% 164.34/165.00 => ( V_aa_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_b_2)
% 164.34/165.00 <=> hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_aa_2),V_b_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_left__minus,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Groups_Ogroup__add(T_a)
% 164.34/165.00 => 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) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_ab__left__minus,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Groups_Oab__group__add(T_a)
% 164.34/165.00 => 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) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_minus__unique,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Groups_Ogroup__add(T_a)
% 164.34/165.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_a),V_b) = c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.00 => hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) = V_b ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_diff__0,axiom,
% 164.34/165.00 ! [V_a,T_a] :
% 164.34/165.00 ( class_Groups_Ogroup__add(T_a)
% 164.34/165.00 => 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) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum_Oempty,axiom,
% 164.34/165.00 ! [V_g_2,T_c,T_b] :
% 164.34/165.00 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.34/165.00 => 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) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum__empty,axiom,
% 164.34/165.00 ! [V_f_2,T_c,T_b] :
% 164.34/165.00 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.34/165.00 => 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) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum__infinite,axiom,
% 164.34/165.00 ! [V_f_2,V_A_2,T_b,T_c] :
% 164.34/165.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/165.00 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => 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) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum_Oinfinite,axiom,
% 164.34/165.00 ! [V_g_2,V_A_2,T_b,T_c] :
% 164.34/165.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/165.00 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => 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) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_gr0__conv__Suc,axiom,
% 164.34/165.00 ! [V_n_2] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 164.34/165.00 <=> ? [B_m] : V_n_2 = hAPP(c_Nat_OSuc,B_m) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_less__Suc0,axiom,
% 164.34/165.00 ! [V_n_2] :
% 164.34/165.00 ( 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))))
% 164.34/165.00 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_less__Suc__eq__0__disj,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 164.34/165.00 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 | ? [B_j] :
% 164.34/165.00 ( V_m_2 = hAPP(c_Nat_OSuc,B_j)
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_n_2)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_one__is__add,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2] :
% 164.34/165.00 ( 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)
% 164.34/165.00 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 164.34/165.00 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 164.34/165.00 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__is__1,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2] :
% 164.34/165.00 ( 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))
% 164.34/165.00 <=> ( ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 164.34/165.00 & V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 164.34/165.00 | ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__gr__0,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2] :
% 164.34/165.00 ( 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)))
% 164.34/165.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 164.34/165.00 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card_Oempty,axiom,
% 164.34/165.00 ! [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) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card__infinite,axiom,
% 164.34/165.00 ! [V_A_2,T_b] :
% 164.34/165.00 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__eq__1__iff,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2] :
% 164.34/165.00 ( 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))
% 164.34/165.00 <=> ( V_m_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 164.34/165.00 & V_n_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_zero__less__diff,axiom,
% 164.34/165.00 ! [V_m_2,V_n_2] :
% 164.34/165.00 ( 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)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_diff__less,axiom,
% 164.34/165.00 ! [V_m,V_n] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 164.34/165.00 => 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)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__less__mono2,axiom,
% 164.34/165.00 ! [V_k,V_j,V_i] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 164.34/165.00 => 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))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__less__mono1,axiom,
% 164.34/165.00 ! [V_k,V_j,V_i] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 164.34/165.00 => 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))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__less__cancel2,axiom,
% 164.34/165.00 ! [V_n_2,V_k_2,V_m_2] :
% 164.34/165.00 ( 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)))
% 164.34/165.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__less__cancel1,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2,V_k_2] :
% 164.34/165.00 ( 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)))
% 164.34/165.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_nat__0__less__mult__iff,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2] :
% 164.34/165.00 ( 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)))
% 164.34/165.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m_2))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_nat__mult__eq__cancel1,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2,V_k_2] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 164.34/165.00 => ( 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)
% 164.34/165.00 <=> V_m_2 = V_n_2 ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_nat__mult__less__cancel1,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2,V_k_2] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 164.34/165.00 => ( 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)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_diff__add__0,axiom,
% 164.34/165.00 ! [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) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_diff__is__0__eq,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2] :
% 164.34/165.00 ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m_2),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_diff__is__0__eq_H,axiom,
% 164.34/165.00 ! [V_n,V_m] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 164.34/165.00 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_One__nat__def,axiom,
% 164.34/165.00 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__eq__self__implies__10,axiom,
% 164.34/165.00 ! [V_n,V_m] :
% 164.34/165.00 ( V_m = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)
% 164.34/165.00 => ( V_n = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 164.34/165.00 | V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum__eq__0__iff,axiom,
% 164.34/165.00 ! [V_f_2,V_F_2,T_b] :
% 164.34/165.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 164.34/165.00 => ( 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)
% 164.34/165.00 <=> ! [B_x] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 164.34/165.00 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_diff__Suc,axiom,
% 164.34/165.00 ! [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)) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Min_Oin__idem,axiom,
% 164.34/165.00 ! [V_x_2,V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/165.00 => 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) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__nonpos__neg,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__neg__nonpos,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a)))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__strict__increasing2,axiom,
% 164.34/165.00 ! [V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_c))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__strict__increasing,axiom,
% 164.34/165.00 ! [V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_c))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__nonneg__pos,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__pos__nonneg,axiom,
% 164.34/165.00 ! [V_b,V_a,T_a] :
% 164.34/165.00 ( class_Groups_Oordered__comm__monoid__add(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 164.34/165.00 => 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))) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__left__le__imp__le,axiom,
% 164.34/165.00 ! [V_b,V_a,V_c,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 164.34/165.00 => ( 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)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__right__le__imp__le,axiom,
% 164.34/165.00 ! [V_b,V_c,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 164.34/165.00 => ( 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)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__less__imp__less__left,axiom,
% 164.34/165.00 ! [V_b,V_a,V_c,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 164.34/165.00 => ( 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)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__left__less__imp__less,axiom,
% 164.34/165.00 ! [V_b,V_a,V_c,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring(T_a)
% 164.34/165.00 => ( 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)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__less__imp__less__right,axiom,
% 164.34/165.00 ! [V_b,V_c,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 164.34/165.00 => ( 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)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__right__less__imp__less,axiom,
% 164.34/165.00 ! [V_b,V_c,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring(T_a)
% 164.34/165.00 => ( 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)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__le__less__imp__less,axiom,
% 164.34/165.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => 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))) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__less__le__imp__less,axiom,
% 164.34/165.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),V_d))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => 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))) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__strict__mono_H,axiom,
% 164.34/165.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => 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))) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__strict__mono,axiom,
% 164.34/165.00 ! [V_d,V_c,V_b,V_a,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__strict(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),V_d))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.34/165.00 => 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))) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__le__cancel__left__neg,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,V_ca_2,T_b] :
% 164.34/165.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_aa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_aa_2)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__le__cancel__left__pos,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,V_ca_2,T_b] :
% 164.34/165.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_aa_2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2),V_b_2)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),V_b_2)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_sum__squares__ge__zero,axiom,
% 164.34/165.00 ! [V_y,V_x,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__ring(T_a)
% 164.34/165.00 => 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)))) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_sum__squares__le__zero__iff,axiom,
% 164.34/165.00 ! [V_y_2,V_x_2,T_b] :
% 164.34/165.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 164.34/165.00 => ( 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)))
% 164.34/165.00 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 164.34/165.00 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_not__sum__squares__lt__zero,axiom,
% 164.34/165.00 ! [V_y,V_x,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__ring(T_a)
% 164.34/165.00 => ~ 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))) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_sum__squares__gt__zero__iff,axiom,
% 164.34/165.00 ! [V_y_2,V_x_2,T_b] :
% 164.34/165.00 ( class_Rings_Olinordered__ring__strict(T_b)
% 164.34/165.00 => ( 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))))
% 164.34/165.00 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 164.34/165.00 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__right__le__one__le,axiom,
% 164.34/165.00 ! [V_y,V_x,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__idom(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 164.34/165.00 => 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)) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__left__le__one__le,axiom,
% 164.34/165.00 ! [V_y,V_x,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__idom(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),c_Groups_Oone__class_Oone(T_a)))
% 164.34/165.00 => 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)) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_zero__less__two,axiom,
% 164.34/165.00 ! [T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.00 => 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)))) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Min_OF__eq,axiom,
% 164.34/165.00 ! [V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => 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) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card__eq__0__iff,axiom,
% 164.34/165.00 ! [V_A_2,T_b] :
% 164.34/165.00 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 | ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card__ge__0__finite,axiom,
% 164.34/165.00 ! [V_A_2,T_b] :
% 164.34/165.00 ( 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)))
% 164.34/165.00 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_diff__Suc__less,axiom,
% 164.34/165.00 ! [V_i,V_n] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.34/165.00 => 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)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Suc__pred,axiom,
% 164.34/165.00 ! [V_n] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.34/165.00 => 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 ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_n__less__m__mult__n,axiom,
% 164.34/165.00 ! [V_m,V_n] :
% 164.34/165.00 ( 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))
% 164.34/165.00 => ( 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))
% 164.34/165.00 => 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))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_n__less__n__mult__m,axiom,
% 164.34/165.00 ! [V_m,V_n] :
% 164.34/165.00 ( 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))
% 164.34/165.00 => ( 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))
% 164.34/165.00 => 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))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_one__less__mult,axiom,
% 164.34/165.00 ! [V_m,V_n] :
% 164.34/165.00 ( 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))
% 164.34/165.00 => ( 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))
% 164.34/165.00 => 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))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_nat__diff__split__asm,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,V_Pa_2] :
% 164.34/165.00 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_aa_2),V_b_2)))
% 164.34/165.00 <=> ~ ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_aa_2),V_b_2))
% 164.34/165.00 & ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 164.34/165.00 | ? [B_d] :
% 164.34/165.00 ( V_aa_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 164.34/165.00 & ~ hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_nat__diff__split,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,V_Pa_2] :
% 164.34/165.00 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_aa_2),V_b_2)))
% 164.34/165.00 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_aa_2),V_b_2))
% 164.34/165.00 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 164.34/165.00 & ! [B_d] :
% 164.34/165.00 ( V_aa_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_b_2),B_d)
% 164.34/165.00 => hBOOL(hAPP(V_Pa_2,B_d)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_one__le__mult__iff,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2] :
% 164.34/165.00 ( 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)))
% 164.34/165.00 <=> ( 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))
% 164.34/165.00 & 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)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__le__cancel2,axiom,
% 164.34/165.00 ! [V_n_2,V_k_2,V_m_2] :
% 164.34/165.00 ( 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)))
% 164.34/165.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__le__cancel1,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2,V_k_2] :
% 164.34/165.00 ( 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)))
% 164.34/165.00 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_nat__mult__le__cancel1,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2,V_k_2] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k_2))
% 164.34/165.00 => ( 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)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum__eq__Suc0__iff,axiom,
% 164.34/165.00 ! [V_f_2,V_A_2,T_b] :
% 164.34/165.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( 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))
% 164.34/165.00 <=> ? [B_x] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/165.00 & hAPP(V_f_2,B_x) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 164.34/165.00 & ! [B_xa] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 164.34/165.00 => ( B_x != B_xa
% 164.34/165.00 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum__eq__1__iff,axiom,
% 164.34/165.00 ! [V_f_2,V_A_2,T_b] :
% 164.34/165.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( 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)
% 164.34/165.00 <=> ? [B_x] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/165.00 & hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 164.34/165.00 & ! [B_xa] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_A_2))
% 164.34/165.00 => ( B_x != B_xa
% 164.34/165.00 => hAPP(V_f_2,B_xa) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum__delta,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,V_S_2,T_b,T_c] :
% 164.34/165.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.34/165.00 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_S_2))
% 164.34/165.00 => 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_aa_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_aa_2) )
% 164.34/165.00 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_S_2))
% 164.34/165.00 => 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_aa_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum__delta_H,axiom,
% 164.34/165.00 ! [V_b_2,V_aa_2,V_S_2,T_b,T_c] :
% 164.34/165.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.34/165.00 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_S_2))
% 164.34/165.00 => 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_aa_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = hAPP(V_b_2,V_aa_2) )
% 164.34/165.00 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_S_2))
% 164.34/165.00 => 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_aa_2))),V_b_2)),c_Groups_Ozero__class_Ozero(T_c))),V_S_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Ofold1__belowI,axiom,
% 164.34/165.00 ! [V_aa_2,V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_aa_2)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__max_Obelow__fold1__iff,axiom,
% 164.34/165.00 ! [V_x_2,V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 => ( 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)))
% 164.34/165.00 <=> ! [B_x] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_fold1__below__iff,axiom,
% 164.34/165.00 ! [V_x_2,V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2)),V_x_2))
% 164.34/165.00 <=> ? [B_x] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_fold1__strict__below__iff,axiom,
% 164.34/165.00 ! [V_x_2,V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 => ( 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))
% 164.34/165.00 <=> ? [B_x] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/165.00 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_x_2)) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_strict__below__fold1__iff,axiom,
% 164.34/165.00 ! [V_x_2,V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 => ( 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)))
% 164.34/165.00 <=> ! [B_x] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),B_x)) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Min__insert,axiom,
% 164.34/165.00 ! [V_x_2,V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 => 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)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Min_Osubset__idem,axiom,
% 164.34/165.00 ! [V_B_2,V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.34/165.00 => 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) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Min__Un,axiom,
% 164.34/165.00 ! [V_B_2,V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/165.00 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 => 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)) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card__less__Suc2,axiom,
% 164.34/165.00 ! [V_i_2,V_M_2] :
% 164.34/165.00 ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 164.34/165.00 => 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))))) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card__less,axiom,
% 164.34/165.00 ! [V_i_2,V_M_2] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 164.34/165.00 => 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) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card__less__Suc,axiom,
% 164.34/165.00 ! [V_i_2,V_M_2] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_M_2))
% 164.34/165.00 => 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))))) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_convex__bound__le,axiom,
% 164.34/165.00 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__1(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 164.34/165.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 164.34/165.00 => 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)) ) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card__gt__0__iff,axiom,
% 164.34/165.00 ! [V_A_2,T_b] :
% 164.34/165.00 ( 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)))
% 164.34/165.00 <=> ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_finite__UNIV__card__ge__0,axiom,
% 164.34/165.00 ! [T_b] :
% 164.34/165.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 164.34/165.00 => 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),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum_Oeq__fold,axiom,
% 164.34/165.00 ! [V_g_2,V_A_2,T_b,T_c] :
% 164.34/165.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => 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) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum_OF__eq,axiom,
% 164.34/165.00 ! [V_g_2,V_A_2,T_b,T_c] :
% 164.34/165.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/165.00 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => 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) )
% 164.34/165.00 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => 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) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Suc__diff__1,axiom,
% 164.34/165.00 ! [V_n] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.34/165.00 => 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 ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Suc__pred_H,axiom,
% 164.34/165.00 ! [V_n] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.34/165.00 => 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))) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_add__eq__if,axiom,
% 164.34/165.00 ! [V_n,V_m] :
% 164.34/165.00 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n) = V_n )
% 164.34/165.00 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 => 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)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_mult__eq__if,axiom,
% 164.34/165.00 ! [V_n,V_m] :
% 164.34/165.00 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 164.34/165.00 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 => 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)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum__restrict__set_H,axiom,
% 164.34/165.00 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 164.34/165.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => 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) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum__restrict__set,axiom,
% 164.34/165.00 ! [V_B_2,V_f_2,V_A_2,T_b,T_c] :
% 164.34/165.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => 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) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Min_Oinsert,axiom,
% 164.34/165.00 ! [V_x_2,V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/165.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 => 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)) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_fold1__antimono,axiom,
% 164.34/165.00 ! [V_B_2,V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_B_2)),hAPP(c_Finite__Set_Ofold1(T_b,c_Orderings_Oord__class_Omin(T_b)),V_A_2))) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card__def,axiom,
% 164.34/165.00 ! [V_A_2,T_b] :
% 164.34/165.00 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => 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) )
% 164.34/165.00 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card_Oeq__fold__g,axiom,
% 164.34/165.00 ! [V_A_2,T_b] :
% 164.34/165.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => 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) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Min_Oinsert__remove,axiom,
% 164.34/165.00 ! [V_x_2,V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( ( 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))
% 164.34/165.00 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 164.34/165.00 & ( 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))
% 164.34/165.00 => 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)))))) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Min_Ounion__disjoint,axiom,
% 164.34/165.00 ! [V_B_2,V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/165.00 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 => 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)) ) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Min_Ounion__inter,axiom,
% 164.34/165.00 ! [V_B_2,V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/165.00 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 => 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)) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_convex__bound__lt,axiom,
% 164.34/165.00 ! [V_v,V_u,V_y,V_a,V_x,T_a] :
% 164.34/165.00 ( class_Rings_Olinordered__semiring__1__strict(T_a)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),V_a))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_u))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_v))
% 164.34/165.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_u),V_v) = c_Groups_Oone__class_Oone(T_a)
% 164.34/165.00 => 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_u),V_x)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_v),V_y))),V_a)) ) ) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_triple_Osize_I1_J,axiom,
% 164.34/165.00 ! [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,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_vname_Osize_I1_J,axiom,
% 164.34/165.00 ! [V_glb] : c_Com_Ovname_Ovname__size(c_Com_Ovname_OGlb(V_glb)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_even__less__0__iff,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Rings_Olinordered__idom(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_aa_2),V_aa_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_nat_Osize_I2_J,axiom,
% 164.34/165.00 ! [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))) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_dual__max,axiom,
% 164.34/165.00 ! [T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => 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) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_inf__nat__def,axiom,
% 164.34/165.00 c_Lattices_Osemilattice__inf__class_Oinf(tc_Nat_Onat) = c_Orderings_Oord__class_Omin(tc_Nat_Onat) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_nat_Osize_I1_J,axiom,
% 164.34/165.00 c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_double__eq__0__iff,axiom,
% 164.34/165.00 ! [V_aa_2,T_b] :
% 164.34/165.00 ( class_Groups_Olinordered__ab__group__add(T_b)
% 164.34/165.00 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_aa_2),V_aa_2) = c_Groups_Ozero__class_Ozero(T_b)
% 164.34/165.00 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_vname_Osize_I2_J,axiom,
% 164.34/165.00 ! [V_loc] : c_Com_Ovname_Ovname__size(c_Com_Ovname_OLoc(V_loc)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_triple_Osize_I2_J,axiom,
% 164.34/165.00 ! [V_fun2_2,V_com_2,V_fun1_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Hoare__Mirabelle_Otriple(T_b)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(T_b),V_fun1_2),V_com_2),V_fun2_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card_Ounion__inter__neutral,axiom,
% 164.34/165.00 ! [V_B_2,V_A_2,T_b] :
% 164.34/165.00 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/165.00 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 164.34/165.00 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 164.34/165.00 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)),hAPP(c_Finite__Set_Ocard(T_b),V_B_2)) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum__mono2,axiom,
% 164.34/165.00 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 164.34/165.00 ( class_Groups_Oordered__comm__monoid__add(T_c)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/165.00 => ( ! [B_b] :
% 164.34/165.00 ( 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)))
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_b))) )
% 164.34/165.00 => 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))) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_min__ord__min,axiom,
% 164.34/165.00 ! [T_b] :
% 164.34/165.00 ( class_Orderings_Oord(T_b)
% 164.34/165.00 => c_Orderings_Oord__class_Omin(T_b) = c_Orderings_Oord_Omin(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_vname_Osize_I3_J,axiom,
% 164.34/165.00 ! [V_glb] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ovname),c_Com_Ovname_OGlb(V_glb)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_vname_Osize_I4_J,axiom,
% 164.34/165.00 ! [V_loc] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ovname),c_Com_Ovname_OLoc(V_loc)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_nat_Osize_I4_J,axiom,
% 164.34/165.00 ! [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))) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_Min_Oclosed,axiom,
% 164.34/165.00 ! [V_A_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.00 => ( ! [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))))))
% 164.34/165.00 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_arith__series__nat,axiom,
% 164.34/165.00 ! [V_n_2,V_d_2,V_aa_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_aa_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_aa_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_aa_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)))) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum__Un__zero,axiom,
% 164.34/165.00 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 164.34/165.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 164.34/165.00 => ( ! [B_x] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)))
% 164.34/165.00 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 164.34/165.00 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_S_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_T_2)) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum_Ounion__inter__neutral,axiom,
% 164.34/165.00 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 164.34/165.00 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.00 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/165.00 => ( ! [B_x] :
% 164.34/165.00 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)))
% 164.34/165.00 => hAPP(V_g_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 164.34/165.00 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_g_2),V_B_2)) ) ) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_finite__lessThan,axiom,
% 164.34/165.00 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_k_2))) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_nat__size,axiom,
% 164.34/165.00 ! [V_n] : hAPP(c_Nat_Osize__class_Osize(tc_Nat_Onat),V_n) = V_n ).
% 164.34/165.00
% 164.34/165.00 fof(fact_lessThan__eq__iff,axiom,
% 164.34/165.00 ! [V_y_2,V_x_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_y_2)
% 164.34/165.00 <=> V_x_2 = V_y_2 ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_lessThan__0,axiom,
% 164.34/165.00 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)) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_lessThan__Suc,axiom,
% 164.34/165.00 ! [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)) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card__lessThan,axiom,
% 164.34/165.00 ! [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 ).
% 164.34/165.00
% 164.34/165.00 fof(fact_UN__lessThan__UNIV,axiom,
% 164.34/165.00 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)) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_lessThan__Suc__eq__insert__0,axiom,
% 164.34/165.00 ! [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))) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_setsum__lessThan__Suc,axiom,
% 164.34/165.00 ! [V_n_2,V_f_2,T_b] :
% 164.34/165.00 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.34/165.00 => 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)) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_nat_Osize_I3_J,axiom,
% 164.34/165.00 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) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_lessThan__iff,axiom,
% 164.34/165.00 ! [V_k_2,V_i_2,T_b] :
% 164.34/165.00 ( class_Orderings_Oord(T_b)
% 164.34/165.00 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_i_2),V_k_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_lessThan__subset__iff,axiom,
% 164.34/165.00 ! [V_y_2,V_x_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( 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)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_lessThan__strict__subset__iff,axiom,
% 164.34/165.00 ! [V_n_2,V_m_2,T_b] :
% 164.34/165.00 ( class_Orderings_Olinorder(T_b)
% 164.34/165.00 => ( 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)))
% 164.34/165.00 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_n_2)) ) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_single__Diff__lessThan,axiom,
% 164.34/165.00 ! [V_k_2,T_b] :
% 164.34/165.00 ( class_Orderings_Oorder(T_b)
% 164.34/165.00 => 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))) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_arith__series__general,axiom,
% 164.34/165.00 ! [V_n_2,V_d_2,V_aa_2,T_b] :
% 164.34/165.00 ( class_Rings_Ocomm__semiring__1(T_b)
% 164.34/165.00 => 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_aa_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_aa_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_aa_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)))) ) ).
% 164.34/165.00
% 164.34/165.00 fof(fact_card__Suc__eq,axiom,
% 164.34/165.00 ! [V_k_2,V_A_2,T_b] :
% 164.34/165.00 ( hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = hAPP(c_Nat_OSuc,V_k_2)
% 164.34/165.00 <=> ? [B_b,B_B] :
% 164.34/165.00 ( V_A_2 = hAPP(hAPP(c_Set_Oinsert(T_b),B_b),B_B)
% 164.34/165.00 & ~ hBOOL(hAPP(hAPP(c_member(T_b),B_b),B_B))
% 164.34/165.00 & hAPP(c_Finite__Set_Ocard(T_b),B_B) = V_k_2
% 164.34/165.00 & ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.00 => B_B = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_setsum__mono3,axiom,
% 164.34/165.01 ! [V_f_2,V_A_2,V_B_2,T_b,T_c] :
% 164.34/165.01 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 164.34/165.01 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 164.34/165.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/165.01 => ( ! [B_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2)))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 164.34/165.01 => 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_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_B_2))) ) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_setsum__reindex__nonzero,axiom,
% 164.34/165.01 ! [T_c,V_h_2,V_f_2,V_S_2,T_b,T_d] :
% 164.34/165.01 ( class_Groups_Ocomm__monoid__add(T_d)
% 164.34/165.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.34/165.01 => ( ! [B_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 164.34/165.01 => ! [B_y] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_S_2))
% 164.34/165.01 => ( B_x != B_y
% 164.34/165.01 => ( hAPP(V_f_2,B_x) = hAPP(V_f_2,B_y)
% 164.34/165.01 => hAPP(V_h_2,hAPP(V_f_2,B_x)) = c_Groups_Ozero__class_Ozero(T_d) ) ) ) )
% 164.34/165.01 => 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) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_equiv__intrel__iff,axiom,
% 164.34/165.01 ! [V_y_2,V_x_2] :
% 164.34/165.01 ( 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))))
% 164.34/165.01 <=> 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_negative__zless,axiom,
% 164.34/165.01 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_not__zle__0__negative,axiom,
% 164.34/165.01 ! [V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n))))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__zle__neg,axiom,
% 164.34/165.01 ! [V_m_2,V_n_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2))))
% 164.34/165.01 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.01 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_negative__eq__positive,axiom,
% 164.34/165.01 ! [V_m_2,V_n_2] :
% 164.34/165.01 ( hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2)
% 164.34/165.01 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.01 & V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_negative__zless__0,axiom,
% 164.34/165.01 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Nat_OSuc,V_n)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__0,axiom,
% 164.34/165.01 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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__eq__0__conv,axiom,
% 164.34/165.01 ! [V_n_2] :
% 164.34/165.01 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.34/165.01 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_equiv__intrel,axiom,
% 164.34/165.01 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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__le__0__conv,axiom,
% 164.34/165.01 ! [V_n_2] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zle__int,axiom,
% 164.34/165.01 ! [V_n_2,V_m_2] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zless__int,axiom,
% 164.34/165.01 ! [V_n_2,V_m_2] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zmult__int,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__mult,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zadd__int__left,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zadd__int,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__1,axiom,
% 164.34/165.01 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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__Suc,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zless__iff__Suc__zadd,axiom,
% 164.34/165.01 ! [V_z_2,V_w_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 164.34/165.01 <=> ? [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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__eq__iff,axiom,
% 164.34/165.01 ! [V_n_2,V_m_2,T_b] :
% 164.34/165.01 ( class_Nat_Osemiring__char__0(T_b)
% 164.34/165.01 => ( 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)
% 164.34/165.01 <=> V_m_2 = V_n_2 ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_inj__int,axiom,
% 164.34/165.01 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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__setsum,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__Suc0__eq__1,axiom,
% 164.34/165.01 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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zmult__zless__mono2__lemma,axiom,
% 164.34/165.01 ! [V_k,V_j,V_i] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 164.34/165.01 => 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zero__less__int__conv,axiom,
% 164.34/165.01 ! [V_n_2] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__0__le__iff,axiom,
% 164.34/165.01 ! [V_n,T_a] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.01 => 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zero__le__imp__of__nat,axiom,
% 164.34/165.01 ! [V_m,T_a] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.01 => 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zdiff__int,axiom,
% 164.34/165.01 ! [V_m,V_n] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__less__0__iff,axiom,
% 164.34/165.01 ! [V_m,T_a] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.01 => ~ 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__0,axiom,
% 164.34/165.01 ! [T_a] :
% 164.34/165.01 ( class_Rings_Osemiring__1(T_a)
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__less__iff,axiom,
% 164.34/165.01 ! [V_n_2,V_m_2,T_b] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_b)
% 164.34/165.01 => ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_less__imp__of__nat__less,axiom,
% 164.34/165.01 ! [V_n,V_m,T_a] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.34/165.01 => 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__less__imp__less,axiom,
% 164.34/165.01 ! [V_n,V_m,T_a] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.01 => ( 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)))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__le__iff,axiom,
% 164.34/165.01 ! [V_n_2,V_m_2,T_b] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_b)
% 164.34/165.01 => ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__add,axiom,
% 164.34/165.01 ! [V_n,V_m,T_a] :
% 164.34/165.01 ( class_Rings_Osemiring__1(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__mult,axiom,
% 164.34/165.01 ! [V_n,V_m,T_a] :
% 164.34/165.01 ( class_Rings_Osemiring__1(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__1,axiom,
% 164.34/165.01 ! [T_a] :
% 164.34/165.01 ( class_Rings_Osemiring__1(T_a)
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__setsum,axiom,
% 164.34/165.01 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/165.01 ( class_Rings_Osemiring__1(T_b)
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_inj__of__nat,axiom,
% 164.34/165.01 ! [T_b] :
% 164.34/165.01 ( class_Nat_Osemiring__char__0(T_b)
% 164.34/165.01 => 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__Suc,axiom,
% 164.34/165.01 ! [V_m,T_a] :
% 164.34/165.01 ( class_Rings_Osemiring__1(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__diff,axiom,
% 164.34/165.01 ! [V_m,V_n,T_a] :
% 164.34/165.01 ( class_Rings_Oring__1(T_a)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 164.34/165.01 => 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)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_setsum__constant,axiom,
% 164.34/165.01 ! [V_A_2,V_y_2,T_c,T_b] :
% 164.34/165.01 ( class_Rings_Osemiring__1(T_b)
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__0__less__iff,axiom,
% 164.34/165.01 ! [V_n_2,T_b] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_b)
% 164.34/165.01 => ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_intrel__iff,axiom,
% 164.34/165.01 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 164.34/165.01 ( 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))
% 164.34/165.01 <=> 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_semiring__1__class_Oof__nat__code,axiom,
% 164.34/165.01 ! [V_n_2,T_b] :
% 164.34/165.01 ( class_Rings_Osemiring__1(T_b)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zdiff__int__split,axiom,
% 164.34/165.01 ! [V_y_2,V_x_2,V_Pa_2] :
% 164.34/165.01 ( hBOOL(hAPP(V_Pa_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))))
% 164.34/165.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),V_x_2))
% 164.34/165.01 => hBOOL(hAPP(V_Pa_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)))) )
% 164.34/165.01 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 164.34/165.01 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_One__int__def,axiom,
% 164.34/165.01 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))))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_mult,axiom,
% 164.34/165.01 ! [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))))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_le,axiom,
% 164.34/165.01 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 164.34/165.01 ( 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)))))))
% 164.34/165.01 <=> 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_negative__zle,axiom,
% 164.34/165.01 ! [V_m,V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_negative__zle__0,axiom,
% 164.34/165.01 ! [V_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__less__0__conv,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zero__zle__int,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__int__eq,axiom,
% 164.34/165.01 ! [V_n_2,V_m_2] :
% 164.34/165.01 ( 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)
% 164.34/165.01 <=> V_m_2 = V_n_2 ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_not__int__zless__negative,axiom,
% 164.34/165.01 ! [V_m,V_n] : ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m)))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zle__iff__zadd,axiom,
% 164.34/165.01 ! [V_z_2,V_w_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2))
% 164.34/165.01 <=> ? [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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zminus__zadd__distrib,axiom,
% 164.34/165.01 ! [V_w,V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),V_w)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_diff__int__def__symmetric,axiom,
% 164.34/165.01 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_diff__int__def,axiom,
% 164.34/165.01 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z),V_w) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_w)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zmult__1,axiom,
% 164.34/165.01 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z) = V_z ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zmult__1__right,axiom,
% 164.34/165.01 ! [V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),c_Groups_Oone__class_Oone(tc_Int_Oint)) = V_z ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zadd__zmult__distrib2,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zadd__zmult__distrib,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zadd__strict__right__mono,axiom,
% 164.34/165.01 ! [V_k,V_j,V_i] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 164.34/165.01 => 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zless__add1__eq,axiom,
% 164.34/165.01 ! [V_z_2,V_w_2] :
% 164.34/165.01 ( 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))))
% 164.34/165.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2))
% 164.34/165.01 | V_w_2 = V_z_2 ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zadd__commute,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zadd__left__commute,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zadd__assoc,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zadd__left__mono,axiom,
% 164.34/165.01 ! [V_k,V_j,V_i] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 164.34/165.01 => 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zle__add1__eq__le,axiom,
% 164.34/165.01 ! [V_z_2,V_w_2] :
% 164.34/165.01 ( 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))))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_add1__zle__eq,axiom,
% 164.34/165.01 ! [V_z_2,V_w_2] :
% 164.34/165.01 ( 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))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zless__imp__add1__zle,axiom,
% 164.34/165.01 ! [V_z,V_w] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w),V_z))
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zadd__zless__mono,axiom,
% 164.34/165.01 ! [V_z,V_z_H,V_w,V_w_H] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_H),V_w))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 164.34/165.01 => 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zle__diff1__eq,axiom,
% 164.34/165.01 ! [V_z_2,V_w_2] :
% 164.34/165.01 ( 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))))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zmult__zminus,axiom,
% 164.34/165.01 ! [V_w,V_z] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_w) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z),V_w)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zminus__zminus,axiom,
% 164.34/165.01 ! [V_z] : hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)) = V_z ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zdiff__zmult__distrib2,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zdiff__zmult__distrib,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zmult__commute,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zmult__assoc,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zless__linear,axiom,
% 164.34/165.01 ! [V_y,V_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),V_y))
% 164.34/165.01 | V_x = V_y
% 164.34/165.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_x)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zle__antisym,axiom,
% 164.34/165.01 ! [V_w,V_z] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z))
% 164.34/165.01 => V_z = V_w ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zle__trans,axiom,
% 164.34/165.01 ! [V_k,V_j,V_i] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_j),V_k))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_k)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zle__linear,axiom,
% 164.34/165.01 ! [V_w,V_z] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),V_w))
% 164.34/165.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_z)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zle__refl,axiom,
% 164.34/165.01 ! [V_w] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w),V_w)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zless__le,axiom,
% 164.34/165.01 ! [V_w_2,V_z_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),V_w_2))
% 164.34/165.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),V_w_2))
% 164.34/165.01 & V_z_2 != V_w_2 ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_less__bin__lemma,axiom,
% 164.34/165.01 ! [V_l_2,V_k_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2))
% 164.34/165.01 <=> 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zmult__zless__mono2,axiom,
% 164.34/165.01 ! [V_k,V_j,V_i] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),V_j))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 164.34/165.01 => 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zminus__0,axiom,
% 164.34/165.01 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_le__imp__0__less,axiom,
% 164.34/165.01 ! [V_z] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 164.34/165.01 => 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__one__le__iff__zero__less,axiom,
% 164.34/165.01 ! [V_z_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zadd__0__right,axiom,
% 164.34/165.01 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_z ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zadd__0,axiom,
% 164.34/165.01 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z) = V_z ).
% 164.34/165.01
% 164.34/165.01 fof(fact_odd__nonzero,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__0__neq__1,axiom,
% 164.34/165.01 c_Groups_Ozero__class_Ozero(tc_Int_Oint) != c_Groups_Oone__class_Oone(tc_Int_Oint) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__0__less__1,axiom,
% 164.34/165.01 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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_odd__less__0,axiom,
% 164.34/165.01 ! [V_z_2] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_pos__zmult__eq__1__iff,axiom,
% 164.34/165.01 ! [V_n_2,V_m_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m_2))
% 164.34/165.01 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 164.34/165.01 <=> ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 164.34/165.01 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zadd__zminus__inverse2,axiom,
% 164.34/165.01 ! [V_z] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_z)),V_z) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__aux_Osimps_I1_J,axiom,
% 164.34/165.01 ! [V_i_2,V_inc_2,T_b] :
% 164.34/165.01 ( class_Rings_Osemiring__1(T_b)
% 164.34/165.01 => 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 ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__aux_Osimps_I2_J,axiom,
% 164.34/165.01 ! [V_i_2,V_n_2,V_inc_2,T_b] :
% 164.34/165.01 ( class_Rings_Osemiring__1(T_b)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_minus,axiom,
% 164.34/165.01 ! [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))))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Zero__int__def,axiom,
% 164.34/165.01 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))))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__def,axiom,
% 164.34/165.01 ! [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))))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_add,axiom,
% 164.34/165.01 ! [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))))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_less,axiom,
% 164.34/165.01 ! [V_v_2,V_u_2,V_y_2,V_x_2] :
% 164.34/165.01 ( 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)))))))
% 164.34/165.01 <=> 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_self__quotient__aux1,axiom,
% 164.34/165.01 ! [V_q,V_r,V_a] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.34/165.01 => ( 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))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_a))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_q)) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_self__quotient__aux2,axiom,
% 164.34/165.01 ! [V_q,V_r,V_a] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.34/165.01 => ( 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))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),c_Groups_Oone__class_Oone(tc_Int_Oint))) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zdiv__mono2__neg__lemma,axiom,
% 164.34/165.01 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 164.34/165.01 ( 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)
% 164.34/165.01 => ( 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)))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_unique__quotient__lemma__neg,axiom,
% 164.34/165.01 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r_H))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zdiv__mono2__lemma,axiom,
% 164.34/165.01 ! [V_r_H,V_q_H,V_b_H,V_r,V_q,V_b] :
% 164.34/165.01 ( 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)
% 164.34/165.01 => ( 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)))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q),V_q_H)) ) ) ) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_q__pos__lemma,axiom,
% 164.34/165.01 ! [V_r_H,V_q_H,V_b_H] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b_H))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_q_H)) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_q__neg__lemma,axiom,
% 164.34/165.01 ! [V_r_H,V_q_H,V_b_H] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_unique__quotient__lemma,axiom,
% 164.34/165.01 ! [V_r,V_q,V_r_H,V_q_H,V_b] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_H))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_H),V_b))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_q_H),V_q)) ) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I5_J,axiom,
% 164.34/165.01 ! [V_Pa_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_Pa_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_Pa_2),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_minus__int__def,axiom,
% 164.34/165.01 ! [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))))))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__int__nat__numerals_I2_J,axiom,
% 164.34/165.01 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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I2_J,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Rep__Integ__inject,axiom,
% 164.34/165.01 ! [V_y_2,V_x_2] :
% 164.34/165.01 ( hAPP(c_Int_ORep__Integ,V_x_2) = hAPP(c_Int_ORep__Integ,V_y_2)
% 164.34/165.01 <=> V_x_2 = V_y_2 ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Rep__Integ__inverse,axiom,
% 164.34/165.01 ! [V_x_2] : hAPP(c_Int_OAbs__Integ,hAPP(c_Int_ORep__Integ,V_x_2)) = V_x_2 ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__nat__int__set__relations_I5_J,axiom,
% 164.34/165.01 ! [V_B_2,V_A_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/165.01 <=> 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__nat__int__set__relations_I3_J,axiom,
% 164.34/165.01 ! [V_B_2,V_A_2] :
% 164.34/165.01 ( V_A_2 = V_B_2
% 164.34/165.01 <=> 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__nat__int__set__relations_I4_J,axiom,
% 164.34/165.01 ! [V_B_2,V_A_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/165.01 <=> 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__int__nat__relations_I1_J,axiom,
% 164.34/165.01 ! [V_y_2,V_x_2] :
% 164.34/165.01 ( 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)
% 164.34/165.01 <=> V_x_2 = V_y_2 ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,axiom,
% 164.34/165.01 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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__nat__int__set__relations_I2_J,axiom,
% 164.34/165.01 ! [V_A_2,V_x_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),V_A_2))
% 164.34/165.01 <=> 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I2_J,axiom,
% 164.34/165.01 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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I1_J,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__nat__int__set__relations_I1_J,axiom,
% 164.34/165.01 ! [V_A_2] :
% 164.34/165.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),V_A_2))
% 164.34/165.01 <=> 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__int__nat__numerals_I1_J,axiom,
% 164.34/165.01 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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,axiom,
% 164.34/165.01 ! [V_y,V_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 164.34/165.01 => 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__int__nat__quantifiers_I1_J,axiom,
% 164.34/165.01 ! [V_Pa_2] :
% 164.34/165.01 ( ! [B_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 164.34/165.01 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.34/165.01 <=> ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__int__nat__quantifiers_I2_J,axiom,
% 164.34/165.01 ! [V_Pa_2] :
% 164.34/165.01 ( ? [B_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 164.34/165.01 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.34/165.01 <=> ? [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_x))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I9_J,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,axiom,
% 164.34/165.01 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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,axiom,
% 164.34/165.01 ! [V_y,V_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 164.34/165.01 => 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__int__nat__relations_I2_J,axiom,
% 164.34/165.01 ! [V_y_2,V_x_2] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__int__nat__relations_I3_J,axiom,
% 164.34/165.01 ! [V_y_2,V_x_2] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I1_J,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__ge__less__than2__def,axiom,
% 164.34/165.01 ! [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)))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__ge__less__than__def,axiom,
% 164.34/165.01 ! [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)))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int,axiom,
% 164.34/165.01 ! [V_j_2,V_i_2,T_b] :
% 164.34/165.01 ( class_Rings_Oring__1(T_b)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_divmod__nat__if,axiom,
% 164.34/165.01 ! [V_m_2,V_n_2] :
% 164.34/165.01 ( ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 164.34/165.01 => 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) )
% 164.34/165.01 & ( ~ ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) )
% 164.34/165.01 => 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)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_infinite__UNIV__int,axiom,
% 164.34/165.01 ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),c_Orderings_Otop__class_Otop(tc_fun(tc_Int_Oint,tc_HOL_Obool)))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__eq__iff,axiom,
% 164.34/165.01 ! [V_z_2,V_w_2,T_b] :
% 164.34/165.01 ( class_Int_Oring__char__0(T_b)
% 164.34/165.01 => ( 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)
% 164.34/165.01 <=> V_w_2 = V_z_2 ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_wf__int__ge__less__than2,axiom,
% 164.34/165.01 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than2(V_d_2)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_wf__int__ge__less__than,axiom,
% 164.34/165.01 ! [V_d_2] : c_Wellfounded_Owf(tc_Int_Oint,c_Int_Oint__ge__less__than(V_d_2)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__int__eq,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__0,axiom,
% 164.34/165.01 ! [T_a] :
% 164.34/165.01 ( class_Rings_Oring__1(T_a)
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__0__eq__iff,axiom,
% 164.34/165.01 ! [V_z_2,T_b] :
% 164.34/165.01 ( class_Int_Oring__char__0(T_b)
% 164.34/165.01 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2)
% 164.34/165.01 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__eq__0__iff,axiom,
% 164.34/165.01 ! [V_z_2,T_b] :
% 164.34/165.01 ( class_Int_Oring__char__0(T_b)
% 164.34/165.01 => ( hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_z_2) = c_Groups_Ozero__class_Ozero(T_b)
% 164.34/165.01 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__le__iff,axiom,
% 164.34/165.01 ! [V_z_2,V_w_2,T_b] :
% 164.34/165.01 ( class_Rings_Olinordered__idom(T_b)
% 164.34/165.01 => ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__less__iff,axiom,
% 164.34/165.01 ! [V_z_2,V_w_2,T_b] :
% 164.34/165.01 ( class_Rings_Olinordered__idom(T_b)
% 164.34/165.01 => ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__add,axiom,
% 164.34/165.01 ! [V_z,V_w,T_a] :
% 164.34/165.01 ( class_Rings_Oring__1(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__mult,axiom,
% 164.34/165.01 ! [V_z,V_w,T_a] :
% 164.34/165.01 ( class_Rings_Oring__1(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__1,axiom,
% 164.34/165.01 ! [T_a] :
% 164.34/165.01 ( class_Rings_Oring__1(T_a)
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__diff,axiom,
% 164.34/165.01 ! [V_z,V_w,T_a] :
% 164.34/165.01 ( class_Rings_Oring__1(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__of__nat__eq,axiom,
% 164.34/165.01 ! [V_n,T_a] :
% 164.34/165.01 ( class_Rings_Oring__1(T_a)
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__minus,axiom,
% 164.34/165.01 ! [V_z,T_a] :
% 164.34/165.01 ( class_Rings_Oring__1(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__setsum,axiom,
% 164.34/165.01 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.34/165.01 ( class_Rings_Oring__1(T_b)
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_divmod__nat__zero,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__le__0__iff,axiom,
% 164.34/165.01 ! [V_z_2,T_b] :
% 164.34/165.01 ( class_Rings_Olinordered__idom(T_b)
% 164.34/165.01 => ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__0__le__iff,axiom,
% 164.34/165.01 ! [V_z_2,T_b] :
% 164.34/165.01 ( class_Rings_Olinordered__idom(T_b)
% 164.34/165.01 => ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__less__0__iff,axiom,
% 164.34/165.01 ! [V_z_2,T_b] :
% 164.34/165.01 ( class_Rings_Olinordered__idom(T_b)
% 164.34/165.01 => ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__0__less__iff,axiom,
% 164.34/165.01 ! [V_z_2,T_b] :
% 164.34/165.01 ( class_Rings_Olinordered__idom(T_b)
% 164.34/165.01 => ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_divmod__nat__base,axiom,
% 164.34/165.01 ! [V_n,V_m] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nitpick_OFrac__def,axiom,
% 164.34/165.01 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)))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_divmod__int__rel__def,axiom,
% 164.34/165.01 ! [V_b_2,V_aa_2] : c_Divides_Odivmod__int__rel(V_aa_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_aa_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))))))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_eq__Abs__Integ,axiom,
% 164.34/165.01 ! [V_z_2] :
% 164.34/165.01 ~ ! [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))))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__eq__id,axiom,
% 164.34/165.01 c_Int_Oring__1__class_Oof__int(tc_Int_Oint) = c_Fun_Oid(tc_Int_Oint) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__int,axiom,
% 164.34/165.01 ! [V_n] : hAPP(c_Int_Onat,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n)) = V_n ).
% 164.34/165.01
% 164.34/165.01 fof(fact_unique__remainder,axiom,
% 164.34/165.01 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 => ( 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)))
% 164.34/165.01 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.34/165.01 => V_r = V_r_H ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_unique__quotient,axiom,
% 164.34/165.01 ! [V_r_H,V_q_H,V_r,V_q,V_b,V_a] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 => ( 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)))
% 164.34/165.01 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.34/165.01 => V_q = V_q_H ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_self__remainder,axiom,
% 164.34/165.01 ! [V_r,V_q,V_a] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.34/165.01 => V_r = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_divmod__int__rel__0,axiom,
% 164.34/165.01 ! [V_b] :
% 164.34/165.01 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.34/165.01 => 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)))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__nat__int__numerals_I1_J,axiom,
% 164.34/165.01 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__0,axiom,
% 164.34/165.01 hAPP(c_Int_Onat,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__nat__int__relations_I1_J,axiom,
% 164.34/165.01 ! [V_y_2,V_x_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 164.34/165.01 => ( hAPP(c_Int_Onat,V_x_2) = hAPP(c_Int_Onat,V_y_2)
% 164.34/165.01 <=> V_x_2 = V_y_2 ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_all__nat,axiom,
% 164.34/165.01 ! [V_Pa_2] :
% 164.34/165.01 ( ! [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 164.34/165.01 <=> ! [B_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 164.34/165.01 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_ex__nat,axiom,
% 164.34/165.01 ! [V_Pa_2] :
% 164.34/165.01 ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 164.34/165.01 <=> ? [B_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 164.34/165.01 & hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,B_x))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_eq__nat__nat__iff,axiom,
% 164.34/165.01 ! [V_z_H_2,V_z_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H_2))
% 164.34/165.01 => ( hAPP(c_Int_Onat,V_z_2) = hAPP(c_Int_Onat,V_z_H_2)
% 164.34/165.01 <=> V_z_2 = V_z_H_2 ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__nat__int__numerals_I2_J,axiom,
% 164.34/165.01 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I4_J,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__int__nat__set__return__embed,axiom,
% 164.34/165.01 ! [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 ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I3_J,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_self__quotient,axiom,
% 164.34/165.01 ! [V_r,V_q,V_a] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 => ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.34/165.01 => V_q = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I2_J,axiom,
% 164.34/165.01 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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__0__iff,axiom,
% 164.34/165.01 ! [V_i_2] :
% 164.34/165.01 ( hAPP(c_Int_Onat,V_i_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__le__0,axiom,
% 164.34/165.01 ! [V_z] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.01 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zless__nat__conj,axiom,
% 164.34/165.01 ! [V_z_2,V_w_2] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 164.34/165.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__mono__iff,axiom,
% 164.34/165.01 ! [V_w_2,V_z_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2))
% 164.34/165.01 => ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__nat__int__relations_I3_J,axiom,
% 164.34/165.01 ! [V_y_2,V_x_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 164.34/165.01 => ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__1,axiom,
% 164.34/165.01 hAPP(c_Int_Onat,c_Groups_Oone__class_Oone(tc_Int_Oint)) = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__0__le,axiom,
% 164.34/165.01 ! [V_z] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 164.34/165.01 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__eq__iff,axiom,
% 164.34/165.01 ! [V_z_2,V_m_2] :
% 164.34/165.01 ( hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) = V_z_2
% 164.34/165.01 <=> ( V_m_2 = hAPP(c_Int_Onat,V_z_2)
% 164.34/165.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__nat__eq,axiom,
% 164.34/165.01 ! [V_z] :
% 164.34/165.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 164.34/165.01 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z )
% 164.34/165.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 164.34/165.01 => 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) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zless__nat__eq__int__zless,axiom,
% 164.34/165.01 ! [V_z_2,V_m_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(c_Int_Onat,V_z_2)))
% 164.34/165.01 <=> 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)),V_z_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__zminus__int,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__nat__int__sum__prod_I1_J,axiom,
% 164.34/165.01 ! [V_A_2,V_f_2,T_b] :
% 164.34/165.01 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 164.34/165.01 & class_Groups_Ocomm__monoid__mult(T_b) )
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zero__less__nat__eq,axiom,
% 164.34/165.01 ! [V_z_2] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__nat__int__relations_I2_J,axiom,
% 164.34/165.01 ! [V_y_2,V_x_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y_2))
% 164.34/165.01 => ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__less__eq__zless,axiom,
% 164.34/165.01 ! [V_z_2,V_w_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 164.34/165.01 => ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__eq__iff,axiom,
% 164.34/165.01 ! [V_m_2,V_w_2] :
% 164.34/165.01 ( hAPP(c_Int_Onat,V_w_2) = V_m_2
% 164.34/165.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 164.34/165.01 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 164.34/165.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 164.34/165.01 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__eq__iff2,axiom,
% 164.34/165.01 ! [V_w_2,V_m_2] :
% 164.34/165.01 ( V_m_2 = hAPP(c_Int_Onat,V_w_2)
% 164.34/165.01 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 164.34/165.01 => V_w_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_m_2) )
% 164.34/165.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 164.34/165.01 => V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__le__eq__zle,axiom,
% 164.34/165.01 ! [V_z_2,V_w_2] :
% 164.34/165.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 164.34/165.01 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_2)) )
% 164.34/165.01 => ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_w_2),V_z_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_split__nat,axiom,
% 164.34/165.01 ! [V_i_2,V_Pa_2] :
% 164.34/165.01 ( hBOOL(hAPP(V_Pa_2,hAPP(c_Int_Onat,V_i_2)))
% 164.34/165.01 <=> ( ! [B_n] :
% 164.34/165.01 ( V_i_2 = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n)
% 164.34/165.01 => hBOOL(hAPP(V_Pa_2,B_n)) )
% 164.34/165.01 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.01 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I1_J,axiom,
% 164.34/165.01 ! [V_y,V_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 164.34/165.01 => 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)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__add__distrib,axiom,
% 164.34/165.01 ! [V_z_H,V_z] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 164.34/165.01 => 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)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I2_J,axiom,
% 164.34/165.01 ! [V_y,V_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 164.34/165.01 => 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)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__mult__distrib,axiom,
% 164.34/165.01 ! [V_z_H,V_z] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__diff__distrib,axiom,
% 164.34/165.01 ! [V_z,V_z_H] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z_H))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z_H),V_z))
% 164.34/165.01 => 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)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__nat__int__sum__prod2_I1_J,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__nat__nat,axiom,
% 164.34/165.01 ! [V_z,T_a] :
% 164.34/165.01 ( class_Rings_Oring__1(T_a)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 164.34/165.01 => 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) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_one__less__nat__eq,axiom,
% 164.34/165.01 ! [V_z_2] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_z_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__less__iff,axiom,
% 164.34/165.01 ! [V_m_2,V_w_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_w_2))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onat,V_w_2)),V_m_2))
% 164.34/165.01 <=> 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Suc__nat__eq__nat__zadd1,axiom,
% 164.34/165.01 ! [V_z] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__mult__distrib__neg,axiom,
% 164.34/165.01 ! [V_z_H,V_z] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_z),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.01 => 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__set__functions_I5_J,axiom,
% 164.34/165.01 ! [V_Pa_2] : hAPP(c_Set_OCollect(tc_Nat_Onat),V_Pa_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_Pa_2),c_Int_Onat)))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__def,axiom,
% 164.34/165.01 ! [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)))))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zminus1__lemma,axiom,
% 164.34/165.01 ! [V_r_2,V_q_2,V_b_2,V_aa_2] :
% 164.34/165.01 ( hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_aa_2,V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)))
% 164.34/165.01 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_aa_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))))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__of__nat,axiom,
% 164.34/165.01 ! [V_k,T_a] :
% 164.34/165.01 ( class_Rings_Oring__1(T_a)
% 164.34/165.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.01 => 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)))) )
% 164.34/165.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.01 => 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)) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_divmod__int__relI,axiom,
% 164.34/165.01 ! [V_r,V_q,V_b,V_a] :
% 164.34/165.01 ( 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)
% 164.34/165.01 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 164.34/165.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b)) ) )
% 164.34/165.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 164.34/165.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 164.34/165.01 => 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__aux__def,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__morphism__nat__int,axiom,
% 164.34/165.01 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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I3_J,axiom,
% 164.34/165.01 ! [V_y,V_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 164.34/165.01 => 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)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Integ__def,axiom,
% 164.34/165.01 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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Rep__Integ,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,axiom,
% 164.34/165.01 ! [V_y,V_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 164.34/165.01 => 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_tsub__eq,axiom,
% 164.34/165.01 ! [V_x,V_y] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 164.34/165.01 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I3_J,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_tsub__def,axiom,
% 164.34/165.01 ! [V_x,V_y] :
% 164.34/165.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 164.34/165.01 => c_Nat__Transfer_Otsub(V_x,V_y) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_x),V_y) )
% 164.34/165.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),V_x))
% 164.34/165.01 => c_Nat__Transfer_Otsub(V_x,V_y) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I4_J,axiom,
% 164.34/165.01 ! [V_B_2,V_A_2] :
% 164.34/165.01 ( c_Nat__Transfer_Onat__set(V_A_2)
% 164.34/165.01 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 164.34/165.01 => 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I3_J,axiom,
% 164.34/165.01 ! [V_B_2,V_A_2] :
% 164.34/165.01 ( c_Nat__Transfer_Onat__set(V_A_2)
% 164.34/165.01 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 164.34/165.01 => 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__int__nat__sum__prod_I1_J,axiom,
% 164.34/165.01 ! [V_f_2,V_A_2,T_b] :
% 164.34/165.01 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 164.34/165.01 & class_Groups_Ocomm__monoid__mult(T_b) )
% 164.34/165.01 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 164.34/165.01 => 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)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__int__nat__set__relations_I4_J,axiom,
% 164.34/165.01 ! [V_B_2,V_A_2] :
% 164.34/165.01 ( c_Nat__Transfer_Onat__set(V_A_2)
% 164.34/165.01 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/165.01 <=> 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))) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I1_J,axiom,
% 164.34/165.01 c_Nat__Transfer_Onat__set(c_Orderings_Obot__class_Obot(tc_fun(tc_Int_Oint,tc_HOL_Obool))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I2_J,axiom,
% 164.34/165.01 ! [V_B_2,V_A_2] :
% 164.34/165.01 ( c_Nat__Transfer_Onat__set(V_A_2)
% 164.34/165.01 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 164.34/165.01 => 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)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I3_J,axiom,
% 164.34/165.01 ! [V_B_2,V_A_2] :
% 164.34/165.01 ( c_Nat__Transfer_Onat__set(V_A_2)
% 164.34/165.01 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 164.34/165.01 => 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)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__set__def,axiom,
% 164.34/165.01 ! [V_S_2] :
% 164.34/165.01 ( c_Nat__Transfer_Onat__set(V_S_2)
% 164.34/165.01 <=> ! [B_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),V_S_2))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I5_J,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__int__nat__set__relations_I3_J,axiom,
% 164.34/165.01 ! [V_B_2,V_A_2] :
% 164.34/165.01 ( c_Nat__Transfer_Onat__set(V_A_2)
% 164.34/165.01 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 164.34/165.01 => ( V_A_2 = V_B_2
% 164.34/165.01 <=> 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) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__set__function__closures_I6_J,axiom,
% 164.34/165.01 ! [V_x_2,V_A_2] :
% 164.34/165.01 ( c_Nat__Transfer_Onat__set(V_A_2)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I4_J,axiom,
% 164.34/165.01 ! [V_Pa_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_Pa_2))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__nat__int__set__return__embed,axiom,
% 164.34/165.01 ! [V_A_2] :
% 164.34/165.01 ( c_Nat__Transfer_Onat__set(V_A_2)
% 164.34/165.01 => 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 ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__int__nat__set__relations_I1_J,axiom,
% 164.34/165.01 ! [V_A_2] :
% 164.34/165.01 ( c_Nat__Transfer_Onat__set(V_A_2)
% 164.34/165.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Int_Oint),V_A_2))
% 164.34/165.01 <=> 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__set__functions_I1_J,axiom,
% 164.34/165.01 ! [V_A_2] :
% 164.34/165.01 ( c_Nat__Transfer_Onat__set(V_A_2)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__int__nat__set__relations_I5_J,axiom,
% 164.34/165.01 ! [V_B_2,V_A_2] :
% 164.34/165.01 ( c_Nat__Transfer_Onat__set(V_A_2)
% 164.34/165.01 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_Int_Oint,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.34/165.01 <=> 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))) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__int__nat__set__relations_I2_J,axiom,
% 164.34/165.01 ! [V_A_2,V_x_2] :
% 164.34/165.01 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 164.34/165.01 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 164.34/165.01 <=> 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))) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_setsum__bounded,axiom,
% 164.34/165.01 ! [V_K_2,V_f_2,V_A_2,T_b,T_c] :
% 164.34/165.01 ( ( class_Groups_Oordered__ab__semigroup__add(T_c)
% 164.34/165.01 & class_Rings_Osemiring__1(T_c) )
% 164.34/165.01 => ( ! [B_i] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_A_2))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_i)),V_K_2)) )
% 164.34/165.01 => 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_card__greaterThanLessThan__int,axiom,
% 164.34/165.01 ! [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)))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_image__atLeastZeroLessThan__int,axiom,
% 164.34/165.01 ! [V_u_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_u_2))
% 164.34/165.01 => 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_finite__atLeastLessThan__int,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_finite__greaterThanLessThan__int,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_atLeastLessThan__eq__iff,axiom,
% 164.34/165.01 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.34/165.01 ( class_Orderings_Olinorder(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),V_b_2))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2))
% 164.34/165.01 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_aa_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)
% 164.34/165.01 <=> ( V_aa_2 = V_ca_2
% 164.34/165.01 & V_b_2 = V_d_2 ) ) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_atLeastLessThan__inj_I1_J,axiom,
% 164.34/165.01 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.34/165.01 ( class_Orderings_Olinorder(T_b)
% 164.34/165.01 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_aa_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),V_b_2))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2))
% 164.34/165.01 => V_aa_2 = V_ca_2 ) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_atLeastLessThan__inj_I2_J,axiom,
% 164.34/165.01 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.34/165.01 ( class_Orderings_Olinorder(T_b)
% 164.34/165.01 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_aa_2),V_b_2) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),V_b_2))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_d_2))
% 164.34/165.01 => V_b_2 = V_d_2 ) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_atLeastPlusOneLessThan__greaterThanLessThan__int,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_ivl__disj__int_I9_J,axiom,
% 164.34/165.01 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 164.34/165.01 ( class_Orderings_Oorder(T_b)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I5_J,axiom,
% 164.34/165.01 c_Nat__Transfer_Ois__nat(c_Groups_Ozero__class_Ozero(tc_Int_Oint)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I1_J,axiom,
% 164.34/165.01 ! [V_y,V_x] :
% 164.34/165.01 ( c_Nat__Transfer_Ois__nat(V_x)
% 164.34/165.01 => ( c_Nat__Transfer_Ois__nat(V_y)
% 164.34/165.01 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_x),V_y)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I9_J,axiom,
% 164.34/165.01 ! [V_z] : c_Nat__Transfer_Ois__nat(hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_z)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I6_J,axiom,
% 164.34/165.01 c_Nat__Transfer_Ois__nat(c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I2_J,axiom,
% 164.34/165.01 ! [V_y,V_x] :
% 164.34/165.01 ( c_Nat__Transfer_Ois__nat(V_x)
% 164.34/165.01 => ( c_Nat__Transfer_Ois__nat(V_y)
% 164.34/165.01 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_x),V_y)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_ivl__disj__un_I15_J,axiom,
% 164.34/165.01 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 164.34/165.01 ( class_Orderings_Olinorder(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 164.34/165.01 => 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) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I3_J,axiom,
% 164.34/165.01 ! [V_y,V_x] :
% 164.34/165.01 ( c_Nat__Transfer_Ois__nat(V_x)
% 164.34/165.01 => ( c_Nat__Transfer_Ois__nat(V_y)
% 164.34/165.01 => c_Nat__Transfer_Ois__nat(c_Nat__Transfer_Otsub(V_x,V_y)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_atLeastLessThan__empty,axiom,
% 164.34/165.01 ! [V_aa_2,V_b_2,T_b] :
% 164.34/165.01 ( class_Orderings_Oorder(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_aa_2))
% 164.34/165.01 => hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_aa_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_atLeastLessThan__empty__iff2,axiom,
% 164.34/165.01 ! [V_b_2,V_aa_2,T_b] :
% 164.34/165.01 ( class_Orderings_Oorder(T_b)
% 164.34/165.01 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_aa_2),V_b_2)
% 164.34/165.01 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),V_b_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_atLeastLessThan__empty__iff,axiom,
% 164.34/165.01 ! [V_b_2,V_aa_2,T_b] :
% 164.34/165.01 ( class_Orderings_Oorder(T_b)
% 164.34/165.01 => ( hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_aa_2),V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.01 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),V_b_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_ivl__disj__un_I3_J,axiom,
% 164.34/165.01 ! [V_u_2,V_l_2,T_b] :
% 164.34/165.01 ( class_Orderings_Olinorder(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 164.34/165.01 => 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) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_atLeastLessThan__subset__iff,axiom,
% 164.34/165.01 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.34/165.01 ( class_Orderings_Olinorder(T_b)
% 164.34/165.01 => ( 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_aa_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_aa_2))
% 164.34/165.01 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_aa_2))
% 164.34/165.01 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_ivl__disj__un_I17_J,axiom,
% 164.34/165.01 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 164.34/165.01 ( class_Orderings_Olinorder(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 164.34/165.01 => 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) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_ivl__diff,axiom,
% 164.34/165.01 ! [V_m_2,V_n_2,V_i_2,T_b] :
% 164.34/165.01 ( class_Orderings_Olinorder(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_n_2))
% 164.34/165.01 => 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) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_ivl__disj__int_I11_J,axiom,
% 164.34/165.01 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 164.34/165.01 ( class_Orderings_Oorder(T_b)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_finite__atLeastZeroLessThan__int,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_is__nat__def,axiom,
% 164.34/165.01 ! [V_x_2] :
% 164.34/165.01 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_greaterThanLessThan__empty,axiom,
% 164.34/165.01 ! [V_k_2,V_l_2,T_b] :
% 164.34/165.01 ( class_Orderings_Oorder(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 164.34/165.01 => 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)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_image__uminus__greaterThanLessThan,axiom,
% 164.34/165.01 ! [V_y_2,V_x_2,T_b] :
% 164.34/165.01 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__set__function__closures_I6_J,axiom,
% 164.34/165.01 ! [V_x_2,V_A_2] :
% 164.34/165.01 ( c_Nat__Transfer_Onat__set(V_A_2)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_x_2),V_A_2))
% 164.34/165.01 => c_Nat__Transfer_Ois__nat(V_x_2) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_ivl__disj__un_I8_J,axiom,
% 164.34/165.01 ! [V_u_2,V_l_2,T_b] :
% 164.34/165.01 ( class_Orderings_Olinorder(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 164.34/165.01 => 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) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_ivl__disj__int_I2_J,axiom,
% 164.34/165.01 ! [V_u_2,V_l_2,T_b] :
% 164.34/165.01 ( class_Orderings_Oorder(T_b)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_image__add__int__atLeastLessThan,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_card__atLeastZeroLessThan__int,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_card__atLeastLessThan__int,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_transfer__int__nat__sum__prod2_I1_J,axiom,
% 164.34/165.01 ! [V_f_2,V_A_2,T_b] :
% 164.34/165.01 ( ! [B_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.34/165.01 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_image__minus__const__atLeastLessThan__nat,axiom,
% 164.34/165.01 ! [V_x_2,V_y_2,V_ca_2] :
% 164.34/165.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2))
% 164.34/165.01 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_ca_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_x_2),V_ca_2)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_y_2),V_ca_2)) )
% 164.34/165.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_ca_2),V_y_2))
% 164.34/165.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 164.34/165.01 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_ca_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) )
% 164.34/165.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2))
% 164.34/165.01 => hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),V_ca_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_x_2),V_y_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Ints__odd__less__0,axiom,
% 164.34/165.01 ! [V_aa_2,T_b] :
% 164.34/165.01 ( class_Rings_Olinordered__idom(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),c_Int_Oring__1__class_OInts(T_b)))
% 164.34/165.01 => ( 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_aa_2)),V_aa_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_ivl__disj__un_I4_J,axiom,
% 164.34/165.01 ! [V_u_2,V_l_2,T_b] :
% 164.34/165.01 ( class_Orderings_Olinorder(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 164.34/165.01 => 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) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_finite__greaterThanAtMost,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_finite__greaterThanLessThan,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_finite__greaterThanAtMost__int,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_finite__atLeastLessThan,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_atLeastSucLessThan__greaterThanLessThan,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_atLeastLessThan0,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_atLeast0LessThan,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_card__atLeastLessThan,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_image__Suc__atLeastLessThan,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_setsum__shift__bounds__Suc__ivl,axiom,
% 164.34/165.01 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 164.34/165.01 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_setsum__shift__bounds__nat__ivl,axiom,
% 164.34/165.01 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 164.34/165.01 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_greaterThanAtMost__empty,axiom,
% 164.34/165.01 ! [V_k_2,V_l_2,T_b] :
% 164.34/165.01 ( class_Orderings_Oorder(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_k_2))
% 164.34/165.01 => 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)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_greaterThanAtMost__empty__iff,axiom,
% 164.34/165.01 ! [V_l_2,V_k_2,T_b] :
% 164.34/165.01 ( class_Orderings_Oorder(T_b)
% 164.34/165.01 => ( 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))
% 164.34/165.01 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_greaterThanAtMost__empty__iff2,axiom,
% 164.34/165.01 ! [V_l_2,V_k_2,T_b] :
% 164.34/165.01 ( class_Orderings_Oorder(T_b)
% 164.34/165.01 => ( 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)
% 164.34/165.01 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_l_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_image__add__atLeastLessThan,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_ivl__disj__un_I20_J,axiom,
% 164.34/165.01 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 164.34/165.01 ( class_Orderings_Olinorder(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 164.34/165.01 => 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) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_ivl__disj__int_I14_J,axiom,
% 164.34/165.01 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 164.34/165.01 ( class_Orderings_Oorder(T_b)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Ints__0,axiom,
% 164.34/165.01 ! [T_b] :
% 164.34/165.01 ( class_Rings_Oring__1(T_b)
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Ints__add,axiom,
% 164.34/165.01 ! [V_b_2,V_aa_2,T_b] :
% 164.34/165.01 ( class_Rings_Oring__1(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),c_Int_Oring__1__class_OInts(T_b)))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_aa_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Ints__mult,axiom,
% 164.34/165.01 ! [V_b_2,V_aa_2,T_b] :
% 164.34/165.01 ( class_Rings_Oring__1(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),c_Int_Oring__1__class_OInts(T_b)))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Ints__diff,axiom,
% 164.34/165.01 ! [V_b_2,V_aa_2,T_b] :
% 164.34/165.01 ( class_Rings_Oring__1(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),c_Int_Oring__1__class_OInts(T_b)))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Int_Oring__1__class_OInts(T_b)))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_aa_2),V_b_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Ints__1,axiom,
% 164.34/165.01 ! [T_b] :
% 164.34/165.01 ( class_Rings_Oring__1(T_b)
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Int_Oring__1__class_OInts(T_b))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Ints__minus,axiom,
% 164.34/165.01 ! [V_aa_2,T_b] :
% 164.34/165.01 ( class_Rings_Oring__1(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),c_Int_Oring__1__class_OInts(T_b)))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Ints__of__nat,axiom,
% 164.34/165.01 ! [V_n_2,T_b] :
% 164.34/165.01 ( class_Rings_Oring__1(T_b)
% 164.34/165.01 => 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_setsum__add__nat__ivl,axiom,
% 164.34/165.01 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 164.34/165.01 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 164.34/165.01 => 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)) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_setsum__diff__nat__ivl,axiom,
% 164.34/165.01 ! [V_f_2,V_p_2,V_n_2,V_m_2,T_b] :
% 164.34/165.01 ( class_Groups_Oab__group__add(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_p_2))
% 164.34/165.01 => 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)) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_card__greaterThanAtMost,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Ints__of__int,axiom,
% 164.34/165.01 ! [V_z_2,T_b] :
% 164.34/165.01 ( class_Rings_Oring__1(T_b)
% 164.34/165.01 => 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_atLeastLessThan__singleton,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_UN__UN__finite__eq,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_atLeastLessThan__add__Un,axiom,
% 164.34/165.01 ! [V_k_2,V_j_2,V_i_2] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i_2),V_j_2))
% 164.34/165.01 => 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_subset__card__intvl__is__intvl,axiom,
% 164.34/165.01 ! [V_k_2,V_A_2] :
% 164.34/165.01 ( 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)))))
% 164.34/165.01 => 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_setsum__shift__lb__Suc0__0__upt,axiom,
% 164.34/165.01 ! [V_k_2,V_f_2,T_b] :
% 164.34/165.01 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.34/165.01 => ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(T_b)
% 164.34/165.01 => 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)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_setsum__head__upt__Suc,axiom,
% 164.34/165.01 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 164.34/165.01 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/165.01 => 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Ints__double__eq__0__iff,axiom,
% 164.34/165.01 ! [V_aa_2,T_b] :
% 164.34/165.01 ( class_Int_Oring__char__0(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),c_Int_Oring__1__class_OInts(T_b)))
% 164.34/165.01 => ( hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_aa_2),V_aa_2) = c_Groups_Ozero__class_Ozero(T_b)
% 164.34/165.01 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_image__uminus__greaterThanAtMost,axiom,
% 164.34/165.01 ! [V_y_2,V_x_2,T_b] :
% 164.34/165.01 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_image__uminus__atLeastLessThan,axiom,
% 164.34/165.01 ! [V_y_2,V_x_2,T_b] :
% 164.34/165.01 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_atLeastLessThanSuc,axiom,
% 164.34/165.01 ! [V_n_2,V_m_2] :
% 164.34/165.01 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/165.01 => 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)) )
% 164.34/165.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 164.34/165.01 => 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)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_ivl__disj__int_I10_J,axiom,
% 164.34/165.01 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 164.34/165.01 ( class_Orderings_Oorder(T_b)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_card__greaterThanLessThan,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_card__greaterThanAtMost__int,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_setsum__op__ivl__Suc,axiom,
% 164.34/165.01 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 164.34/165.01 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.34/165.01 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 164.34/165.01 => 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) )
% 164.34/165.01 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2))
% 164.34/165.01 => 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)) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_ivl__disj__un_I16_J,axiom,
% 164.34/165.01 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 164.34/165.01 ( class_Orderings_Olinorder(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 164.34/165.01 => 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) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Ints__odd__nonzero,axiom,
% 164.34/165.01 ! [V_aa_2,T_b] :
% 164.34/165.01 ( class_Int_Oring__char__0(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),c_Int_Oring__1__class_OInts(T_b)))
% 164.34/165.01 => 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_aa_2)),V_aa_2) != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_all__nat__less__eq,axiom,
% 164.34/165.01 ! [V_Pa_2,V_n_2] :
% 164.34/165.01 ( ! [B_m] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 164.34/165.01 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 164.34/165.01 <=> ! [B_x] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_ex__nat__less__eq,axiom,
% 164.34/165.01 ! [V_Pa_2,V_n_2] :
% 164.34/165.01 ( ? [B_m] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_m),V_n_2))
% 164.34/165.01 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 164.34/165.01 <=> ? [B_x] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_UN__finite2__subset,axiom,
% 164.34/165.01 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 164.34/165.01 ( ! [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)))
% 164.34/165.01 => 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_UN__finite2__eq,axiom,
% 164.34/165.01 ! [V_B_2,V_k_2,V_A_2,T_b] :
% 164.34/165.01 ( ! [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)
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_wf__lenlex,axiom,
% 164.34/165.01 ! [V_r_2,T_b] :
% 164.34/165.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/165.01 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olenlex(T_b,V_r_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_UN__finite__subset,axiom,
% 164.34/165.01 ! [V_C_2,V_A_2,T_b] :
% 164.34/165.01 ( ! [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))
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_com_Osize_I4_J,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_com_Osize_I3_J,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_com_Osize_I2_J,axiom,
% 164.34/165.01 ! [V_fun_2,V_vname_2] : c_Com_Ocom_Ocom__size(c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_com_Osize_I1_J,axiom,
% 164.34/165.01 c_Com_Ocom_Ocom__size(c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_com_Osize_I6_J,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_com_Osize_I5_J,axiom,
% 164.34/165.01 ! [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))) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_wf__lex,axiom,
% 164.34/165.01 ! [V_r_2,T_b] :
% 164.34/165.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/165.01 => c_Wellfounded_Owf(tc_List_Olist(T_b),c_List_Olex(T_b,V_r_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_wf__lexn,axiom,
% 164.34/165.01 ! [V_n_2,V_r_2,T_b] :
% 164.34/165.01 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.34/165.01 => c_Wellfounded_Owf(tc_List_Olist(T_b),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_card__Pow,axiom,
% 164.34/165.01 ! [V_A_2,T_b] :
% 164.34/165.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_card__Plus__conv__if,axiom,
% 164.34/165.01 ! [V_B_2,T_c,V_A_2,T_b] :
% 164.34/165.01 ( ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.01 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 164.34/165.01 => 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)) )
% 164.34/165.01 & ( ~ ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.01 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) )
% 164.34/165.01 => 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) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_of__int__power,axiom,
% 164.34/165.01 ! [V_n,V_z,T_a] :
% 164.34/165.01 ( class_Rings_Oring__1(T_a)
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,axiom,
% 164.34/165.01 ! [V_q,V_y,V_x,T_a] :
% 164.34/165.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J,axiom,
% 164.34/165.01 ! [V_x,T_a] :
% 164.34/165.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/165.01 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_x),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_x ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,axiom,
% 164.34/165.01 ! [V_q,V_p,V_x,T_a] :
% 164.34/165.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_lex__def,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,axiom,
% 164.34/165.01 ! [V_q,V_x,T_a] :
% 164.34/165.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,axiom,
% 164.34/165.01 ! [V_q,V_x,T_a] :
% 164.34/165.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,axiom,
% 164.34/165.01 ! [V_q,V_x,T_a] :
% 164.34/165.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,axiom,
% 164.34/165.01 ! [V_x,T_a] :
% 164.34/165.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,axiom,
% 164.34/165.01 ! [V_q,V_p,V_x,T_a] :
% 164.34/165.01 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Ints__power,axiom,
% 164.34/165.01 ! [V_n_2,V_aa_2,T_b] :
% 164.34/165.01 ( class_Rings_Oring__1(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),c_Int_Oring__1__class_OInts(T_b)))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_aa_2),V_n_2)),c_Int_Oring__1__class_OInts(T_b))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_lexn_Osimps_I1_J,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__eq__if,axiom,
% 164.34/165.01 ! [V_p,V_m] :
% 164.34/165.01 ( ( V_m = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.01 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_p),V_m) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 164.34/165.01 & ( V_m != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.01 => 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)))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_finite__PlusD_I2_J,axiom,
% 164.34/165.01 ! [V_B_2,V_A_2,T_c,T_b] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_finite__PlusD_I1_J,axiom,
% 164.34/165.01 ! [V_B_2,V_A_2,T_c,T_b] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_finite__Plus,axiom,
% 164.34/165.01 ! [V_B_2,T_c,V_A_2,T_b] :
% 164.34/165.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 164.34/165.01 => 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_finite__Plus__iff,axiom,
% 164.34/165.01 ! [V_B_2,V_A_2,T_c,T_b] :
% 164.34/165.01 ( 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)))
% 164.34/165.01 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.01 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_card__Plus,axiom,
% 164.34/165.01 ! [V_B_2,T_c,V_A_2,T_b] :
% 164.34/165.01 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.01 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 164.34/165.01 => 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)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__strict__mono,axiom,
% 164.34/165.01 ! [V_n,V_b,V_a,T_a] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.34/165.01 => 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))) ) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_one__less__power,axiom,
% 164.34/165.01 ! [V_n,V_a,T_a] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.34/165.01 => 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))) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__increasing__iff,axiom,
% 164.34/165.01 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 164.34/165.01 => ( 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)))
% 164.34/165.01 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__le__imp__le__exp,axiom,
% 164.34/165.01 ! [V_n,V_m,V_a,T_a] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 164.34/165.01 => ( 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)))
% 164.34/165.01 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zpower__zpower,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I4_J,axiom,
% 164.34/165.01 ! [V_n,V_x] :
% 164.34/165.01 ( c_Nat__Transfer_Ois__nat(V_x)
% 164.34/165.01 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_n)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,axiom,
% 164.34/165.01 ! [V_n,V_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 164.34/165.01 => 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))) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zpower__zadd__distrib,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_int__power,axiom,
% 164.34/165.01 ! [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) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zpower__int,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__int__nat__functions_I4_J,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__power__eq,axiom,
% 164.34/165.01 ! [V_n,V_z] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_z))
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_Nat__Transfer_Otransfer__nat__int__functions_I4_J,axiom,
% 164.34/165.01 ! [V_n,V_x] :
% 164.34/165.01 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_field__power__not__zero,axiom,
% 164.34/165.01 ! [V_n,V_a,T_a] :
% 164.34/165.01 ( class_Rings_Oring__1__no__zero__divisors(T_a)
% 164.34/165.01 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.01 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) != c_Groups_Ozero__class_Ozero(T_a) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__commutes,axiom,
% 164.34/165.01 ! [V_n,V_a,T_a] :
% 164.34/165.01 ( class_Groups_Omonoid__mult(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__mult__distrib,axiom,
% 164.34/165.01 ! [V_n,V_b,V_a,T_a] :
% 164.34/165.01 ( class_Groups_Ocomm__monoid__mult(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__one,axiom,
% 164.34/165.01 ! [V_n,T_a] :
% 164.34/165.01 ( class_Groups_Omonoid__mult(T_a)
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__mult,axiom,
% 164.34/165.01 ! [V_n,V_m,V_a,T_a] :
% 164.34/165.01 ( class_Groups_Omonoid__mult(T_a)
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__one__right,axiom,
% 164.34/165.01 ! [V_a,T_a] :
% 164.34/165.01 ( class_Groups_Omonoid__mult(T_a)
% 164.34/165.01 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)) = V_a ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__mono,axiom,
% 164.34/165.01 ! [V_n,V_b,V_a,T_a] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.01 => 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))) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zero__le__power,axiom,
% 164.34/165.01 ! [V_n,V_a,T_a] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.01 => 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_zero__less__power,axiom,
% 164.34/165.01 ! [V_n,V_a,T_a] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.01 => 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__eq__0__iff,axiom,
% 164.34/165.01 ! [V_n_2,V_aa_2,T_b] :
% 164.34/165.01 ( ( class_Power_Opower(T_b)
% 164.34/165.01 & class_Rings_Omult__zero(T_b)
% 164.34/165.01 & class_Rings_Ono__zero__divisors(T_b)
% 164.34/165.01 & class_Rings_Ozero__neq__one(T_b) )
% 164.34/165.01 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_aa_2),V_n_2) = c_Groups_Ozero__class_Ozero(T_b)
% 164.34/165.01 <=> ( V_aa_2 = c_Groups_Ozero__class_Ozero(T_b)
% 164.34/165.01 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_one__le__power,axiom,
% 164.34/165.01 ! [V_n,V_a,T_a] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 164.34/165.01 => 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))) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__0__Suc,axiom,
% 164.34/165.01 ! [V_n,T_a] :
% 164.34/165.01 ( ( class_Power_Opower(T_a)
% 164.34/165.01 & class_Rings_Osemiring__0(T_a) )
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__inject__exp,axiom,
% 164.34/165.01 ! [V_n_2,V_m_2,V_aa_2,T_b] :
% 164.34/165.01 ( class_Rings_Olinordered__semidom(T_b)
% 164.34/165.01 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_aa_2))
% 164.34/165.01 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_aa_2),V_m_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_aa_2),V_n_2)
% 164.34/165.01 <=> V_m_2 = V_n_2 ) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__Suc2,axiom,
% 164.34/165.01 ! [V_n,V_a,T_a] :
% 164.34/165.01 ( class_Groups_Omonoid__mult(T_a)
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__Suc,axiom,
% 164.34/165.01 ! [V_n,V_a,T_a] :
% 164.34/165.01 ( class_Power_Opower(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__0,axiom,
% 164.34/165.01 ! [V_a,T_a] :
% 164.34/165.01 ( class_Power_Opower(T_a)
% 164.34/165.01 => 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) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__add,axiom,
% 164.34/165.01 ! [V_n,V_m,V_a,T_a] :
% 164.34/165.01 ( class_Groups_Omonoid__mult(T_a)
% 164.34/165.01 => 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)) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__power__eq__Suc__0__iff,axiom,
% 164.34/165.01 ! [V_m_2,V_x_2] :
% 164.34/165.01 ( 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))
% 164.34/165.01 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.01 | V_x_2 = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_power__Suc__0,axiom,
% 164.34/165.01 ! [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)) ).
% 164.34/165.01
% 164.34/165.01 fof(fact_nat__zero__less__power__iff,axiom,
% 164.34/165.02 ! [V_n_2,V_x_2] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_x_2),V_n_2)))
% 164.34/165.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_x_2))
% 164.34/165.02 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_nat__power__less__imp__less,axiom,
% 164.34/165.02 ! [V_n,V_m,V_i] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_i))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n)))
% 164.34/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_of__nat__power,axiom,
% 164.34/165.02 ! [V_n,V_m,T_a] :
% 164.34/165.02 ( class_Rings_Osemiring__1(T_a)
% 164.34/165.02 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_m),V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_a),V_m)),V_n) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__less__imp__less__base,axiom,
% 164.34/165.02 ! [V_b,V_n,V_a,T_a] :
% 164.34/165.02 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 164.34/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b)) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__inject__base,axiom,
% 164.34/165.02 ! [V_b,V_n,V_a,T_a] :
% 164.34/165.02 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.02 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),hAPP(c_Nat_OSuc,V_n))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 164.34/165.02 => V_a = V_b ) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__le__imp__le__base,axiom,
% 164.34/165.02 ! [V_b,V_n,V_a,T_a] :
% 164.34/165.02 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),hAPP(c_Nat_OSuc,V_n))))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 164.34/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__gt1__lemma,axiom,
% 164.34/165.02 ! [V_n,V_a,T_a] :
% 164.34/165.02 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 164.34/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__less__power__Suc,axiom,
% 164.34/165.02 ! [V_n,V_a,T_a] :
% 164.34/165.02 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 164.34/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__0__left,axiom,
% 164.34/165.02 ! [V_n,T_a] :
% 164.34/165.02 ( ( class_Power_Opower(T_a)
% 164.34/165.02 & class_Rings_Osemiring__0(T_a) )
% 164.34/165.02 => ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.02 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Oone__class_Oone(T_a) )
% 164.34/165.02 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.34/165.02 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_n) = c_Groups_Ozero__class_Ozero(T_a) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__gt1,axiom,
% 164.34/165.02 ! [V_n,V_a,T_a] :
% 164.34/165.02 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 164.34/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n)))) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__strict__increasing__iff,axiom,
% 164.34/165.02 ! [V_y_2,V_x_2,V_b_2,T_b] :
% 164.34/165.02 ( class_Rings_Olinordered__semidom(T_b)
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Oone__class_Oone(T_b)),V_b_2))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_x_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_b_2),V_y_2)))
% 164.34/165.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_x_2),V_y_2)) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__less__imp__less__exp,axiom,
% 164.34/165.02 ! [V_n,V_m,V_a,T_a] :
% 164.34/165.02 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_m)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)))
% 164.34/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n)) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__strict__increasing,axiom,
% 164.34/165.02 ! [V_a,V_N,V_n,T_a] :
% 164.34/165.02 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 164.34/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__increasing,axiom,
% 164.34/165.02 ! [V_a,V_N,V_n,T_a] :
% 164.34/165.02 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Oone__class_Oone(T_a)),V_a))
% 164.34/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N))) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__minus,axiom,
% 164.34/165.02 ! [V_n,V_a,T_a] :
% 164.34/165.02 ( class_Rings_Oring__1(T_a)
% 164.34/165.02 => hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_n) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a))),V_n)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n)) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_nat__one__le__power,axiom,
% 164.34/165.02 ! [V_n,V_i] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_i))
% 164.34/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),V_i),V_n))) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__Suc__less,axiom,
% 164.34/165.02 ! [V_n,V_a,T_a] :
% 164.34/165.02 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 164.34/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__eq__imp__eq__base,axiom,
% 164.34/165.02 ! [V_b,V_n,V_a,T_a] :
% 164.34/165.02 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.02 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n) = hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_b),V_n)
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.34/165.02 => V_a = V_b ) ) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__Suc__less__one,axiom,
% 164.34/165.02 ! [V_n,V_a,T_a] :
% 164.34/165.02 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 164.34/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),hAPP(c_Nat_OSuc,V_n))),c_Groups_Oone__class_Oone(T_a))) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__strict__decreasing,axiom,
% 164.34/165.02 ! [V_a,V_N,V_n,T_a] :
% 164.34/165.02 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),V_N))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 164.34/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__decreasing,axiom,
% 164.34/165.02 ! [V_a,V_N,V_n,T_a] :
% 164.34/165.02 ( class_Rings_Olinordered__semidom(T_a)
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_N))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Oone__class_Oone(T_a)))
% 164.34/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_N)),hAPP(hAPP(c_Power_Opower__class_Opower(T_a),V_a),V_n))) ) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_UNIV__Plus__UNIV,axiom,
% 164.34/165.02 ! [T_c,T_b] : c_Sum__Type_OPlus(T_b,T_c,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_sum(T_b,T_c),tc_HOL_Obool)) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_Plus__eq__empty__conv,axiom,
% 164.34/165.02 ! [V_B_2,V_A_2,T_c,T_b] :
% 164.34/165.02 ( 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))
% 164.34/165.02 <=> ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.34/165.02 & V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_c,tc_HOL_Obool)) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power__power__power,axiom,
% 164.34/165.02 ! [T_b] :
% 164.34/165.02 ( class_Power_Opower(T_b)
% 164.34/165.02 => c_Power_Opower__class_Opower(T_b) = c_Power_Opower_Opower(T_b,c_Groups_Oone__class_Oone(T_b),c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_int__power__div__base,axiom,
% 164.34/165.02 ! [V_k,V_m] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 164.34/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),V_m)),V_k) = hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_k),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__0,axiom,
% 164.34/165.02 ! [V_a,T_a] :
% 164.34/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.34/165.02 => 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) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_zdiv__zero,axiom,
% 164.34/165.02 ! [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) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__by__0,axiom,
% 164.34/165.02 ! [V_a,T_a] :
% 164.34/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.34/165.02 => 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) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__by__1,axiom,
% 164.34/165.02 ! [V_a,T_a] :
% 164.34/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.34/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_zdiv__zminus__zminus,axiom,
% 164.34/165.02 ! [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) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_zdiv__zminus2,axiom,
% 164.34/165.02 ! [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) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_Divides_Otransfer__int__nat__function__closures_I1_J,axiom,
% 164.34/165.02 ! [V_y,V_x] :
% 164.34/165.02 ( c_Nat__Transfer_Ois__nat(V_x)
% 164.34/165.02 => ( c_Nat__Transfer_Ois__nat(V_y)
% 164.34/165.02 => c_Nat__Transfer_Ois__nat(hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J,axiom,
% 164.34/165.02 ! [V_y,V_x] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 164.34/165.02 => 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))) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__neg__pos__less0,axiom,
% 164.34/165.02 ! [V_b,V_a] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.34/165.02 => 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))) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_neg__imp__zdiv__neg__iff,axiom,
% 164.34/165.02 ! [V_aa_2,V_b_2] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_aa_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_aa_2)) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_pos__imp__zdiv__neg__iff,axiom,
% 164.34/165.02 ! [V_aa_2,V_b_2] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_aa_2),V_b_2)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_aa_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_zdiv__self,axiom,
% 164.34/165.02 ! [V_a] :
% 164.34/165.02 ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.34/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_a) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__mult__mult1__if,axiom,
% 164.34/165.02 ! [V_b,V_a,V_c,T_a] :
% 164.34/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.34/165.02 => ( ( V_c = c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.02 => 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) )
% 164.34/165.02 & ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.02 => 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) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__mult__self2__is__id,axiom,
% 164.34/165.02 ! [V_a,V_b,T_a] :
% 164.34/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.34/165.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.02 => 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 ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__mult__self1__is__id,axiom,
% 164.34/165.02 ! [V_a,V_b,T_a] :
% 164.34/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.34/165.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.02 => 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 ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__mult__mult2,axiom,
% 164.34/165.02 ! [V_b,V_a,V_c,T_a] :
% 164.34/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.34/165.02 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.02 => 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) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__mult__mult1,axiom,
% 164.34/165.02 ! [V_b,V_a,V_c,T_a] :
% 164.34/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.34/165.02 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.02 => 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) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__self,axiom,
% 164.34/165.02 ! [V_a,T_a] :
% 164.34/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.34/165.02 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_zdiv__eq__0__iff,axiom,
% 164.34/165.02 ! [V_k_2,V_i_2] :
% 164.34/165.02 ( hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_i_2),V_k_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.34/165.02 <=> ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.34/165.02 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i_2))
% 164.34/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i_2),V_k_2)) )
% 164.34/165.02 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_i_2)) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_pos__imp__zdiv__nonneg__iff,axiom,
% 164.34/165.02 ! [V_aa_2,V_b_2] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2))
% 164.34/165.02 => ( 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_aa_2),V_b_2)))
% 164.34/165.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_aa_2)) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_pos__imp__zdiv__pos__iff,axiom,
% 164.34/165.02 ! [V_i_2,V_k_2] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 164.34/165.02 => ( 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)))
% 164.34/165.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_i_2)) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_nonneg1__imp__zdiv__pos__iff,axiom,
% 164.34/165.02 ! [V_b_2,V_aa_2] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_aa_2))
% 164.34/165.02 => ( 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_aa_2),V_b_2)))
% 164.34/165.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),V_aa_2))
% 164.34/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_2)) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_zdiv__mono2,axiom,
% 164.34/165.02 ! [V_b,V_b_H,V_a] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 164.34/165.02 => 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))) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__nonneg__neg__le0,axiom,
% 164.34/165.02 ! [V_b,V_a] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.02 => 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))) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__pos__pos__trivial,axiom,
% 164.34/165.02 ! [V_b,V_a] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 164.34/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_neg__imp__zdiv__nonneg__iff,axiom,
% 164.34/165.02 ! [V_aa_2,V_b_2] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.02 => ( 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_aa_2),V_b_2)))
% 164.34/165.02 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_aa_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__nonpos__pos__le0,axiom,
% 164.34/165.02 ! [V_b,V_a] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.34/165.02 => 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))) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_zdiv__mono2__neg,axiom,
% 164.34/165.02 ! [V_b,V_b_H,V_a] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_H))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_H),V_b))
% 164.34/165.02 => 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))) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__neg__neg__trivial,axiom,
% 164.34/165.02 ! [V_b,V_a] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 164.34/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_zdiv__mono1,axiom,
% 164.34/165.02 ! [V_b,V_a_H,V_a] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.34/165.02 => 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))) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_zdiv__mono1__neg,axiom,
% 164.34/165.02 ! [V_b,V_a_H,V_a] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),V_a_H))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.02 => 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))) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_int__div__less__self,axiom,
% 164.34/165.02 ! [V_k,V_x] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_k))
% 164.34/165.02 => 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)) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_zdiv__zmult2__eq,axiom,
% 164.34/165.02 ! [V_b,V_a,V_c] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 164.34/165.02 => 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) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power_Opower_Opower__0,axiom,
% 164.34/165.02 ! [V_aa_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_aa_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_one_2 ).
% 164.34/165.02
% 164.34/165.02 fof(fact_power_Opower_Opower__Suc,axiom,
% 164.34/165.02 ! [V_n_2,V_aa_2,V_times_2,V_one_2,T_b] : hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_aa_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(V_times_2,V_aa_2),hAPP(hAPP(c_Power_Opower_Opower(T_b,V_one_2,V_times_2),V_aa_2),V_n_2)) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_divmod__int__rel__div,axiom,
% 164.34/165.02 ! [V_r,V_q,V_b,V_a] :
% 164.34/165.02 ( 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)))
% 164.34/165.02 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.34/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a),V_b) = V_q ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__mult__self2,axiom,
% 164.34/165.02 ! [V_c,V_a,V_b,T_a] :
% 164.34/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.34/165.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.02 => 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)) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__mult__self1,axiom,
% 164.34/165.02 ! [V_c,V_a,V_b,T_a] :
% 164.34/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.34/165.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.02 => 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)) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__add__self2,axiom,
% 164.34/165.02 ! [V_a,V_b,T_a] :
% 164.34/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.34/165.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.02 => 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)) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__add__self1,axiom,
% 164.34/165.02 ! [V_a,V_b,T_a] :
% 164.34/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.34/165.02 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 164.34/165.02 => 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)) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_split__zdiv,axiom,
% 164.34/165.02 ! [V_k_2,V_n_2,V_Pa_2] :
% 164.34/165.02 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_n_2),V_k_2)))
% 164.34/165.02 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.34/165.02 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 164.34/165.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 164.34/165.02 => ! [B_i] :
% 164.34/165.02 ( ? [B_j] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 164.34/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 164.34/165.02 & 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) )
% 164.34/165.02 => hBOOL(hAPP(V_Pa_2,B_i)) ) )
% 164.34/165.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.02 => ! [B_i] :
% 164.34/165.02 ( ? [B_j] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 164.34/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.02 & 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) )
% 164.34/165.02 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_divmod__int__rel__div__eq,axiom,
% 164.34/165.02 ! [V_r_1,V_y,V_b_1,V_a_1] :
% 164.34/165.02 ( 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)
% 164.34/165.02 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r_1))
% 164.34/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r_1),V_b_1)) ) )
% 164.34/165.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_r_1))
% 164.34/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r_1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 164.34/165.02 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.34/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_a_1),V_b_1) = V_y ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_norm__frac_Osimps,axiom,
% 164.34/165.02 ! [V_aa_2,V_b_2] :
% 164.34/165.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.02 => c_Nitpick_Onorm__frac(V_aa_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_aa_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) )
% 164.34/165.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.34/165.02 => ( ( ( V_aa_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.34/165.02 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 164.34/165.02 => c_Nitpick_Onorm__frac(V_aa_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)) )
% 164.34/165.02 & ( ~ ( V_aa_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.34/165.02 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 164.34/165.02 => c_Nitpick_Onorm__frac(V_aa_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_aa_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_aa_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_z3div__def,axiom,
% 164.34/165.02 ! [V_k,V_l] :
% 164.34/165.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 164.34/165.02 => c_SMT_Oz3div(V_k,V_l) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_k),V_l) )
% 164.34/165.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 164.34/165.02 => 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))) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_zmult2__lemma,axiom,
% 164.34/165.02 ! [V_c,V_r,V_q,V_b,V_a] :
% 164.34/165.02 ( 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)))
% 164.34/165.02 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 164.34/165.02 => 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)))) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_min__max_OInf__fin_Oremove,axiom,
% 164.34/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.34/165.02 ( class_Orderings_Olinorder(T_b)
% 164.34/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.34/165.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.34/165.02 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 164.34/165.02 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2) = V_x_2 )
% 164.34/165.02 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 164.34/165.02 => 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)))))) ) ) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__mult2__eq,axiom,
% 164.34/165.02 ! [V_c,V_b,V_a] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)),V_c) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__le__dividend,axiom,
% 164.34/165.02 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_div__le__mono,axiom,
% 164.34/165.02 ! [V_k,V_n,V_m] :
% 164.34/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 164.34/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_k)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n),V_k))) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_Divides_Otransfer__int__nat__function__closures_I2_J,axiom,
% 164.34/165.02 ! [V_y,V_x] :
% 164.34/165.02 ( c_Nat__Transfer_Ois__nat(V_x)
% 164.34/165.02 => ( c_Nat__Transfer_Ois__nat(V_y)
% 164.34/165.02 => c_Nat__Transfer_Ois__nat(c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_zdiff__zmod__right,axiom,
% 164.34/165.02 ! [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) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_zdiff__zmod__left,axiom,
% 164.34/165.02 ! [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) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_mod__diff__cong,axiom,
% 164.34/165.02 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 164.34/165.02 ( class_Divides_Oring__div(T_a)
% 164.34/165.02 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 164.34/165.02 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 164.34/165.02 => 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) ) ) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_mod__diff__eq,axiom,
% 164.34/165.02 ! [V_c,V_b,V_a,T_a] :
% 164.34/165.02 ( class_Divides_Oring__div(T_a)
% 164.34/165.02 => 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) ) ).
% 164.34/165.02
% 164.34/165.02 fof(fact_mod__diff__left__eq,axiom,
% 164.34/165.02 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Oring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__diff__right__eq,axiom,
% 164.74/165.02 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Oring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__mult__cong,axiom,
% 164.74/165.02 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 164.74/165.02 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 164.74/165.02 => 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) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__simps_I4_J,axiom,
% 164.74/165.02 ! [V_b,V_c,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__simps_I3_J,axiom,
% 164.74/165.02 ! [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) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__mult__mult2,axiom,
% 164.74/165.02 ! [V_b,V_c,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__mult__mult1,axiom,
% 164.74/165.02 ! [V_b,V_a,V_c,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__mult__eq,axiom,
% 164.74/165.02 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__mult__left__eq,axiom,
% 164.74/165.02 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__zmult1__eq,axiom,
% 164.74/165.02 ! [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) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__mult__right__eq,axiom,
% 164.74/165.02 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__zminus2,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__minus__eq,axiom,
% 164.74/165.02 ! [V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Oring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__zminus__zminus,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zminus__zmod,axiom,
% 164.74/165.02 ! [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) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__minus__cong,axiom,
% 164.74/165.02 ! [V_a_H,V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Oring__div(T_a)
% 164.74/165.02 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_b) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_b)
% 164.74/165.02 => 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) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__add__cong,axiom,
% 164.74/165.02 ! [V_b_H,V_b,V_a_H,V_c,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => ( c_Divides_Odiv__class_Omod(T_a,V_a,V_c) = c_Divides_Odiv__class_Omod(T_a,V_a_H,V_c)
% 164.74/165.02 => ( c_Divides_Odiv__class_Omod(T_a,V_b,V_c) = c_Divides_Odiv__class_Omod(T_a,V_b_H,V_c)
% 164.74/165.02 => 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) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__simps_I1_J,axiom,
% 164.74/165.02 ! [V_b,V_c,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__simps_I2_J,axiom,
% 164.74/165.02 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__add__eq,axiom,
% 164.74/165.02 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__add__left__eq,axiom,
% 164.74/165.02 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__add__right__eq,axiom,
% 164.74/165.02 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__add__self1,axiom,
% 164.74/165.02 ! [V_a,V_b,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__add__self2,axiom,
% 164.74/165.02 ! [V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__self,axiom,
% 164.74/165.02 ! [V_a] : c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_a) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__self,axiom,
% 164.74/165.02 ! [V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => c_Divides_Odiv__class_Omod(T_a,V_a,V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__by__0,axiom,
% 164.74/165.02 ! [V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Ozero__class_Ozero(T_a)) = V_a ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__zero,axiom,
% 164.74/165.02 ! [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) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__0,axiom,
% 164.74/165.02 ! [V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => c_Divides_Odiv__class_Omod(T_a,c_Groups_Ozero__class_Ozero(T_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__mod__trivial,axiom,
% 164.74/165.02 ! [V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zpower__zmod,axiom,
% 164.74/165.02 ! [V_y,V_m,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_m)),V_y),V_m) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_x),V_y),V_m) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__mult__self1__is__0,axiom,
% 164.74/165.02 ! [V_a,V_b,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__mult__self2__is__0,axiom,
% 164.74/165.02 ! [V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__mult__self1,axiom,
% 164.74/165.02 ! [V_b,V_c,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__mult__self2,axiom,
% 164.74/165.02 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__by__1,axiom,
% 164.74/165.02 ! [V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => c_Divides_Odiv__class_Omod(T_a,V_a,c_Groups_Oone__class_Oone(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__div__trivial,axiom,
% 164.74/165.02 ! [V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__1,axiom,
% 164.74/165.02 ! [V_m] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = V_m ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__less,axiom,
% 164.74/165.02 ! [V_n,V_m] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.74/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_nat__mult__div__cancel__disj,axiom,
% 164.74/165.02 ! [V_n,V_m,V_k] :
% 164.74/165.02 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 164.74/165.02 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__le__nonneg__dividend,axiom,
% 164.74/165.02 ! [V_k,V_m] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_m))
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J,axiom,
% 164.74/165.02 ! [V_y,V_x] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 164.74/165.02 => 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))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_pos__mod__bound,axiom,
% 164.74/165.02 ! [V_a,V_b] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_neg__mod__bound,axiom,
% 164.74/165.02 ! [V_a,V_b] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => 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))) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zdiv__int,axiom,
% 164.74/165.02 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_a),V_b)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Divides_Otransfer__int__nat__functions_I1_J,axiom,
% 164.74/165.02 ! [V_y,V_x] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x)),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_x),V_y)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__eq__0__iff,axiom,
% 164.74/165.02 ! [V_d_2,V_m_2] :
% 164.74/165.02 ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_d_2),B_q) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__zminus2__not__zero,axiom,
% 164.74/165.02 ! [V_l,V_k] :
% 164.74/165.02 ( 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)
% 164.74/165.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__zminus1__not__zero,axiom,
% 164.74/165.02 ! [V_l,V_k] :
% 164.74/165.02 ( 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)
% 164.74/165.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) != c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__zdiv__trivial,axiom,
% 164.74/165.02 ! [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) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_DIVISION__BY__ZERO,axiom,
% 164.74/165.02 ! [V_a] :
% 164.74/165.02 ( 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)
% 164.74/165.02 & c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,c_Groups_Ozero__class_Ozero(tc_Int_Oint)) = V_a ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zdiv__zadd1__eq,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__mod__equality,axiom,
% 164.74/165.02 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__mod__equality2,axiom,
% 164.74/165.02 ! [V_c,V_a,V_b,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__div__equality,axiom,
% 164.74/165.02 ! [V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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 ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__div__equality2,axiom,
% 164.74/165.02 ! [V_a,V_b,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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 ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_semiring__div__class_Omod__div__equality_H,axiom,
% 164.74/165.02 ! [V_b,V_a,T_a] :
% 164.74/165.02 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.02 => 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 ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__le__mono2,axiom,
% 164.74/165.02 ! [V_k,V_n,V_m] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m),V_n))
% 164.74/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_n)),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_k),V_m))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_nat__mult__div__cancel1,axiom,
% 164.74/165.02 ! [V_n,V_m,V_k] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_k))
% 164.74/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__mult__self__is__m,axiom,
% 164.74/165.02 ! [V_m,V_n] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.74/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_n)),V_n) = V_m ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__mult__self1__is__m,axiom,
% 164.74/165.02 ! [V_m,V_n] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.74/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)),V_n) = V_m ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__less__dividend,axiom,
% 164.74/165.02 ! [V_m,V_n] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_m))
% 164.74/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n)),V_m)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__neg__neg__trivial,axiom,
% 164.74/165.02 ! [V_b,V_a] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_a))
% 164.74/165.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_neg__mod__conj,axiom,
% 164.74/165.02 ! [V_a,V_b] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => ( 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)))
% 164.74/165.02 & 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))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_neg__mod__sign,axiom,
% 164.74/165.02 ! [V_a,V_b] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => 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))) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__pos__pos__trivial,axiom,
% 164.74/165.02 ! [V_b,V_a] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 164.74/165.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_a ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_pos__mod__conj,axiom,
% 164.74/165.02 ! [V_a,V_b] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.02 => ( 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)))
% 164.74/165.02 & 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)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_pos__mod__sign,axiom,
% 164.74/165.02 ! [V_a,V_b] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.02 => 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))) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__zminus2__eq__if,axiom,
% 164.74/165.02 ! [V_b,V_a] :
% 164.74/165.02 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => 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) )
% 164.74/165.02 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => 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) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__zminus1__eq__if,axiom,
% 164.74/165.02 ! [V_b,V_a] :
% 164.74/165.02 ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => 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) )
% 164.74/165.02 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => 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)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zdiv__zmod__equality2,axiom,
% 164.74/165.02 ! [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) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zdiv__zmod__equality,axiom,
% 164.74/165.02 ! [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) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zdiv__zmult1__eq,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__zdiv__equality,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmult__div__cancel,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__zdiv__equality_H,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__int__rel__mod,axiom,
% 164.74/165.02 ! [V_r,V_q,V_b,V_a] :
% 164.74/165.02 ( 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)))
% 164.74/165.02 => ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = V_r ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OInf__fin_Oin__idem,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.02 => 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) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OInf__fin_Osingleton,axiom,
% 164.74/165.02 ! [V_x_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => 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 ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OInf__fin_OF__eq,axiom,
% 164.74/165.02 ! [V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => 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) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__if,axiom,
% 164.74/165.02 ! [V_m,V_n] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.74/165.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.74/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 164.74/165.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.74/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__geq,axiom,
% 164.74/165.02 ! [V_m,V_n] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.74/165.02 => ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.74/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_split__div,axiom,
% 164.74/165.02 ! [V_k_2,V_n_2,V_Pa_2] :
% 164.74/165.02 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_n_2),V_k_2)))
% 164.74/165.02 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.02 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 164.74/165.02 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.02 => ! [B_i,B_j] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 164.74/165.02 => ( V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j)
% 164.74/165.02 => hBOOL(hAPP(V_Pa_2,B_i)) ) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_nat__div__distrib,axiom,
% 164.74/165.02 ! [V_y,V_x] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 164.74/165.02 => hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Divides_Otransfer__nat__int__functions_I1_J,axiom,
% 164.74/165.02 ! [V_y,V_x] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 164.74/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Int_Onat,V_x)),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_x),V_y)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__pos__neg__trivial,axiom,
% 164.74/165.02 ! [V_b,V_a] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.74/165.02 => ( 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)))
% 164.74/165.02 => 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) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__int__rel__div__mod,axiom,
% 164.74/165.02 ! [V_a,V_b] :
% 164.74/165.02 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => 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)))) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OInf__fin_Oinsert__idem,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OInf__fin_Osubset__idem,axiom,
% 164.74/165.02 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.74/165.02 => 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) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OInf__fin_Ounion__idem,axiom,
% 164.74/165.02 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) ) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_le__div__geq,axiom,
% 164.74/165.02 ! [V_m,V_n] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 164.74/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),V_n)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_split__div__lemma,axiom,
% 164.74/165.02 ! [V_m_2,V_q_2,V_n_2] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 164.74/165.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),V_q_2)),V_m_2))
% 164.74/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,V_q_2)))) )
% 164.74/165.02 <=> V_q_2 = hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_split__div_H,axiom,
% 164.74/165.02 ! [V_n_2,V_m_2,V_Pa_2] :
% 164.74/165.02 ( hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m_2),V_n_2)))
% 164.74/165.02 <=> ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.02 & hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) )
% 164.74/165.02 | ? [B_q] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),B_q)),V_m_2))
% 164.74/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n_2),hAPP(c_Nat_OSuc,B_q))))
% 164.74/165.02 & hBOOL(hAPP(V_Pa_2,B_q)) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__int__rel__mod__eq,axiom,
% 164.74/165.02 ! [V_y,V_q_1,V_b_1,V_a_1] :
% 164.74/165.02 ( 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)
% 164.74/165.02 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 164.74/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_y),V_b_1)) ) )
% 164.74/165.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b_1))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_1),V_y))
% 164.74/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_y),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ) )
% 164.74/165.02 => ( V_b_1 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a_1,V_b_1) = V_y ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmult2__lemma__aux2,axiom,
% 164.74/165.02 ! [V_q,V_r,V_b,V_c] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => 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))) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmult2__lemma__aux1,axiom,
% 164.74/165.02 ! [V_q,V_r,V_b,V_c] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),V_r))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_r),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => 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))) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmult2__lemma__aux4,axiom,
% 164.74/165.02 ! [V_q,V_b,V_r,V_c] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 164.74/165.02 => 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))) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmult2__lemma__aux3,axiom,
% 164.74/165.02 ! [V_q,V_b,V_r,V_c] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_r))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_r),V_b))
% 164.74/165.02 => 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))) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_split__zmod,axiom,
% 164.74/165.02 ! [V_k_2,V_n_2,V_Pa_2] :
% 164.74/165.02 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_n_2,V_k_2)))
% 164.74/165.02 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 164.74/165.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 164.74/165.02 => ! [B_i,B_j] :
% 164.74/165.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 164.74/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 164.74/165.02 & 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) )
% 164.74/165.02 => hBOOL(hAPP(V_Pa_2,B_j)) ) )
% 164.74/165.02 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => ! [B_i,B_j] :
% 164.74/165.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 164.74/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 & 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) )
% 164.74/165.02 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__zmult2__eq,axiom,
% 164.74/165.02 ! [V_b,V_a,V_c] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_c))
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zdiv__zminus2__eq__if,axiom,
% 164.74/165.02 ! [V_a,V_b] :
% 164.74/165.02 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => 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)) )
% 164.74/165.02 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => 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)) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zdiv__zminus1__eq__if,axiom,
% 164.74/165.02 ! [V_a,V_b] :
% 164.74/165.02 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => ( ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => 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)) )
% 164.74/165.02 & ( c_Divides_Odiv__class_Omod(tc_Int_Oint,V_a,V_b) != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => 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)) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zadd1__lemma,axiom,
% 164.74/165.02 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 164.74/165.02 ( 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)))
% 164.74/165.02 => ( 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)))
% 164.74/165.02 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => 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)))) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OInf__fin_Oinsert,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OInf__fin_Oinsert__remove,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 164.74/165.02 => 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 )
% 164.74/165.02 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 164.74/165.02 => 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)))))) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OInf__fin_Ounion__inter,axiom,
% 164.74/165.02 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.02 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OInf__fin_Ounion__disjoint,axiom,
% 164.74/165.02 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) ) ) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_split__neg__lemma,axiom,
% 164.74/165.02 ! [V_n_2,V_Pa_2,V_k_2] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(V_Pa_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)))
% 164.74/165.02 <=> ! [B_i,B_j] :
% 164.74/165.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),B_j))
% 164.74/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_j),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 & 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) )
% 164.74/165.02 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_split__pos__lemma,axiom,
% 164.74/165.02 ! [V_n_2,V_Pa_2,V_k_2] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(V_Pa_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)))
% 164.74/165.02 <=> ! [B_i,B_j] :
% 164.74/165.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_j))
% 164.74/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_j),V_k_2))
% 164.74/165.02 & 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) )
% 164.74/165.02 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmult1__lemma,axiom,
% 164.74/165.02 ! [V_a,V_r,V_q,V_c,V_b] :
% 164.74/165.02 ( 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)))
% 164.74/165.02 => ( V_c != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => 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)))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_z3mod__def,axiom,
% 164.74/165.02 ! [V_k,V_l] :
% 164.74/165.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 164.74/165.02 => c_SMT_Oz3mod(V_k,V_l) = c_Divides_Odiv__class_Omod(tc_Int_Oint,V_k,V_l) )
% 164.74/165.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 164.74/165.02 => 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)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_norm__frac_Opsimps,axiom,
% 164.74/165.02 ! [V_b_2,V_aa_2] :
% 164.74/165.02 ( 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_aa_2),V_b_2)))
% 164.74/165.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => c_Nitpick_Onorm__frac(V_aa_2,V_b_2) = c_Nitpick_Onorm__frac(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_aa_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_b_2)) )
% 164.74/165.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => ( ( ( V_aa_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 164.74/165.02 => c_Nitpick_Onorm__frac(V_aa_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)) )
% 164.74/165.02 & ( ~ ( V_aa_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 | V_b_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 164.74/165.02 => c_Nitpick_Onorm__frac(V_aa_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_aa_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_aa_2))),hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),V_b_2))) ) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OInf__fin_Oclosed,axiom,
% 164.74/165.02 ! [V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( ! [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))))))
% 164.74/165.02 => 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)) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_negDivAlg__div__mod,axiom,
% 164.74/165.02 ! [V_l,V_k] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 164.74/165.02 => 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)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__add1__eq,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__less,axiom,
% 164.74/165.02 ! [V_n,V_m] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.74/165.02 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__less__eq__dividend,axiom,
% 164.74/165.02 ! [V_n,V_m] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_m)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__mult__distrib,axiom,
% 164.74/165.02 ! [V_k,V_n,V_m] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_k) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m),V_k),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_k)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__mult__distrib2,axiom,
% 164.74/165.02 ! [V_n,V_m,V_k] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__Suc__eq__Suc__mod,axiom,
% 164.74/165.02 ! [V_n,V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_accp__downward,axiom,
% 164.74/165.02 ! [V_aa_2,V_b_2,V_r_2,T_b] :
% 164.74/165.02 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_b_2))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(V_r_2,V_aa_2),V_b_2))
% 164.74/165.02 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_aa_2)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_accp_Oequations,axiom,
% 164.74/165.02 ! [V_aa_2,V_r_2,T_b] :
% 164.74/165.02 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_aa_2))
% 164.74/165.02 <=> ! [B_x] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_aa_2))
% 164.74/165.02 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_accp_Osimps,axiom,
% 164.74/165.02 ! [V_aa_2,V_r_2,T_b] :
% 164.74/165.02 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_aa_2))
% 164.74/165.02 <=> ! [B_x] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(V_r_2,B_x),V_aa_2))
% 164.74/165.02 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_accp__wfPD,axiom,
% 164.74/165.02 ! [V_x_2,V_r_2,T_b] :
% 164.74/165.02 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 164.74/165.02 => hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),V_x_2)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_wfP__accp__iff,axiom,
% 164.74/165.02 ! [V_r_2,T_b] :
% 164.74/165.02 ( c_Wellfounded_OwfP(T_b,V_r_2)
% 164.74/165.02 <=> ! [B_x1] : hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,V_r_2),B_x1)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__Suc,axiom,
% 164.74/165.02 ! [V_n,V_m] :
% 164.74/165.02 ( ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) = V_n
% 164.74/165.02 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 164.74/165.02 & ( hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) != V_n
% 164.74/165.02 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) = hAPP(c_Nat_OSuc,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__1,axiom,
% 164.74/165.02 ! [V_m] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__less__divisor,axiom,
% 164.74/165.02 ! [V_m,V_n] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.74/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__eq__0__iff,axiom,
% 164.74/165.02 ! [V_d_2,V_m_2] :
% 164.74/165.02 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m_2,V_d_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.02 <=> ? [B_q] : V_m_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_d_2),B_q) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__if,axiom,
% 164.74/165.02 ! [V_n,V_m] :
% 164.74/165.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.74/165.02 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_m )
% 164.74/165.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.74/165.02 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__geq,axiom,
% 164.74/165.02 ! [V_n,V_m] :
% 164.74/165.02 ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m),V_n))
% 164.74/165.02 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__mult__self3,axiom,
% 164.74/165.02 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__mult1__eq,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__mult2__eq,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_le__mod__geq,axiom,
% 164.74/165.02 ! [V_m,V_n] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 164.74/165.02 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n),V_n) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__mod__equality_H,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mult__div__cancel,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Divides_Omod__div__equality_H,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Divides_Otransfer__int__nat__functions_I2_J,axiom,
% 164.74/165.02 ! [V_y,V_x] : c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_x),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_y)) = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_y)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_zmod__int,axiom,
% 164.74/165.02 ! [V_b,V_a] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_a,V_b)) = c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_a),hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_b)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__nat__div__mod,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__le__divisor,axiom,
% 164.74/165.02 ! [V_m,V_n] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.74/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n)),V_n)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__mult__self4,axiom,
% 164.74/165.02 ! [V_m,V_n,V_k] : c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_n)),V_m)),V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,V_m),V_n) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_accp__subset,axiom,
% 164.74/165.02 ! [V_R2_2,V_R1_2,T_b] :
% 164.74/165.02 ( 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))
% 164.74/165.02 => 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))) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_split__mod,axiom,
% 164.74/165.02 ! [V_k_2,V_n_2,V_Pa_2] :
% 164.74/165.02 ( hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n_2,V_k_2)))
% 164.74/165.02 <=> ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.02 => hBOOL(hAPP(V_Pa_2,V_n_2)) )
% 164.74/165.02 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.02 => ! [B_i,B_j] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),V_k_2))
% 164.74/165.02 => ( V_n_2 = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k_2),B_i)),B_j)
% 164.74/165.02 => hBOOL(hAPP(V_Pa_2,B_j)) ) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__lemma,axiom,
% 164.74/165.02 ! [V_q,V_b,V_r,V_c] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_r),V_b))
% 164.74/165.02 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_q,V_c))),V_r)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_b),V_c))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Suc__times__mod__eq,axiom,
% 164.74/165.02 ! [V_m,V_k] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_k))
% 164.74/165.02 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_k),V_m)),V_k) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Divides_Otransfer__nat__int__functions_I2_J,axiom,
% 164.74/165.02 ! [V_y,V_x] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 164.74/165.02 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) = hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_nat__mod__distrib,axiom,
% 164.74/165.02 ! [V_y,V_x] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_y))
% 164.74/165.02 => hAPP(c_Int_Onat,c_Divides_Odiv__class_Omod(tc_Int_Oint,V_x,V_y)) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Int_Onat,V_x),hAPP(c_Int_Onat,V_y)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_negDivAlg__correct,axiom,
% 164.74/165.02 ! [V_b,V_a] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.02 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OnegDivAlg(V_a,V_b))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__nat__step,axiom,
% 164.74/165.02 ! [V_m,V_n] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 164.74/165.02 => 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)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__nat__rel__mult2__eq,axiom,
% 164.74/165.02 ! [V_c,V_r,V_q,V_b,V_a] :
% 164.74/165.02 ( 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)))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_b))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 164.74/165.02 => 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)))) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__nat__rel__mult1__eq,axiom,
% 164.74/165.02 ! [V_a,V_r,V_q,V_c,V_b] :
% 164.74/165.02 ( 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)))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 164.74/165.02 => 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)))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_norm__frac_Opinduct,axiom,
% 164.74/165.02 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 164.74/165.02 ( 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)))
% 164.74/165.02 => ( ! [B_a,B_b] :
% 164.74/165.02 ( 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)))
% 164.74/165.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_a)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),B_b))) )
% 164.74/165.02 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 164.74/165.02 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__nat__rel__add1__eq,axiom,
% 164.74/165.02 ! [V_br,V_bq,V_b,V_ar,V_aq,V_c,V_a] :
% 164.74/165.02 ( 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)))
% 164.74/165.02 => ( 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)))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_c))
% 164.74/165.02 => 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)))) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__nat__rel__unique,axiom,
% 164.74/165.02 ! [V_qr_H,V_qr,V_n,V_m] :
% 164.74/165.02 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 164.74/165.02 => ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr_H))
% 164.74/165.02 => V_qr = V_qr_H ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__eq,axiom,
% 164.74/165.02 ! [V_r,V_q,V_n,V_m] :
% 164.74/165.02 ( 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)))
% 164.74/165.02 => c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_m,V_n) = V_r ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__nat__rel__divmod__nat,axiom,
% 164.74/165.02 ! [V_n,V_m] : hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),c_Divides_Odivmod__nat(V_m,V_n))) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__nat__eq,axiom,
% 164.74/165.02 ! [V_qr,V_n,V_m] :
% 164.74/165.02 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m,V_n),V_qr))
% 164.74/165.02 => c_Divides_Odivmod__nat(V_m,V_n) = V_qr ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__nat__def,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__eq,axiom,
% 164.74/165.02 ! [V_r,V_q,V_n,V_m] :
% 164.74/165.02 ( 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)))
% 164.74/165.02 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),V_m),V_n) = V_q ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__nat__rel,axiom,
% 164.74/165.02 ! [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)))) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_posDivAlg__div__mod,axiom,
% 164.74/165.02 ! [V_l,V_k] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_l))
% 164.74/165.02 => 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)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup__Inf1__distrib,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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))))) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup__Inf2__distrib,axiom,
% 164.74/165.02 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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))))))) ) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_type__definition__Integ,axiom,
% 164.74/165.02 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) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_max__add__distrib__left,axiom,
% 164.74/165.02 ! [V_z,V_y,V_x,T_a] :
% 164.74/165.02 ( class_Groups_Oordered__ab__semigroup__add__imp__le(T_a)
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_max__diff__distrib__left,axiom,
% 164.74/165.02 ! [V_z,V_y,V_x,T_a] :
% 164.74/165.02 ( class_Groups_Oordered__ab__group__add(T_a)
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_max__0R,axiom,
% 164.74/165.02 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_n ).
% 164.74/165.02
% 164.74/165.02 fof(fact_max__0L,axiom,
% 164.74/165.02 ! [V_n] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n) = V_n ).
% 164.74/165.02
% 164.74/165.02 fof(fact_max__Suc__Suc,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup__inf__absorb,axiom,
% 164.74/165.02 ! [V_y,V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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 ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Oinf__sup__absorb,axiom,
% 164.74/165.02 ! [V_y,V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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 ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup__inf__distrib1,axiom,
% 164.74/165.02 ! [V_z,V_y,V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Oinf__sup__distrib1,axiom,
% 164.74/165.02 ! [V_z,V_y,V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup__inf__distrib2,axiom,
% 164.74/165.02 ! [V_x,V_z,V_y,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Oinf__sup__distrib2,axiom,
% 164.74/165.02 ! [V_x,V_z,V_y,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Max_Oidem,axiom,
% 164.74/165.02 ! [V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_x) = V_x ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup__assoc,axiom,
% 164.74/165.02 ! [V_z,V_y,V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup_Oassoc,axiom,
% 164.74/165.02 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup__left__commute,axiom,
% 164.74/165.02 ! [V_z,V_y,V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup_Oleft__commute,axiom,
% 164.74/165.02 ! [V_c,V_a,V_b,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup__left__idem,axiom,
% 164.74/165.02 ! [V_y,V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup_Oleft__idem,axiom,
% 164.74/165.02 ! [V_b,V_a,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup__commute,axiom,
% 164.74/165.02 ! [V_y,V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup_Ocommute,axiom,
% 164.74/165.02 ! [V_b,V_a,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup_Oidem,axiom,
% 164.74/165.02 ! [V_a,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_a),V_a) = V_a ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Ole__supE,axiom,
% 164.74/165.02 ! [V_x,V_b,V_a,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => ( 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))
% 164.74/165.02 => ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 164.74/165.02 => ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x)) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup__mono,axiom,
% 164.74/165.02 ! [V_d,V_b,V_c,V_a,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_c))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_d))
% 164.74/165.02 => 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))) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup__least,axiom,
% 164.74/165.02 ! [V_z,V_x,V_y,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_z),V_x))
% 164.74/165.02 => 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)) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Ole__supI,axiom,
% 164.74/165.02 ! [V_b,V_x,V_a,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_x))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_x))
% 164.74/165.02 => 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)) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup__absorb1,axiom,
% 164.74/165.02 ! [V_x,V_y,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_y),V_x))
% 164.74/165.02 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_x ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup__absorb2,axiom,
% 164.74/165.02 ! [V_y,V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.74/165.02 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_a),V_x),V_y) = V_y ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Ole__supI2,axiom,
% 164.74/165.02 ! [V_a,V_b,V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_b))
% 164.74/165.02 => 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))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Ole__supI1,axiom,
% 164.74/165.02 ! [V_b,V_a,V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_a))
% 164.74/165.02 => 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))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Ole__sup__iff,axiom,
% 164.74/165.02 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( 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))
% 164.74/165.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_z_2))
% 164.74/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_z_2)) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Ole__iff__sup,axiom,
% 164.74/165.02 ! [V_y_2,V_x_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 164.74/165.02 <=> hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_x_2),V_y_2) = V_y_2 ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_le__maxI2,axiom,
% 164.74/165.02 ! [V_x,V_y,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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))) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_le__maxI1,axiom,
% 164.74/165.02 ! [V_y,V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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))) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_le__max__iff__disj,axiom,
% 164.74/165.02 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( 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)))
% 164.74/165.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_x_2))
% 164.74/165.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_z_2),V_y_2)) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_less__max__iff__disj,axiom,
% 164.74/165.02 ! [V_y_2,V_x_2,V_z_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( 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)))
% 164.74/165.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_x_2))
% 164.74/165.02 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_z_2),V_y_2)) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_max__less__iff__conj,axiom,
% 164.74/165.02 ! [V_z_2,V_y_2,V_x_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( 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))
% 164.74/165.02 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_x_2),V_z_2))
% 164.74/165.02 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_y_2),V_z_2)) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Oless__supI2,axiom,
% 164.74/165.02 ! [V_a,V_b,V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_b))
% 164.74/165.02 => 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))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Oless__supI1,axiom,
% 164.74/165.02 ! [V_b,V_a,V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_a))
% 164.74/165.02 => 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))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_sup__max,axiom,
% 164.74/165.02 ! [T_b] :
% 164.74/165.02 ( ( class_Lattices_Osemilattice__sup(T_b)
% 164.74/165.02 & class_Orderings_Olinorder(T_b) )
% 164.74/165.02 => c_Lattices_Osemilattice__sup__class_Osup(T_b) = c_Orderings_Oord__class_Omax(T_b) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Ofun__left__comm__idem__sup,axiom,
% 164.74/165.02 ! [T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => c_Finite__Set_Ofun__left__comm__idem(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Odistrib__inf__le,axiom,
% 164.74/165.02 ! [V_z,V_y,V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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)))) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Odistrib__sup__le,axiom,
% 164.74/165.02 ! [V_z,V_y,V_x,T_a] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_a)
% 164.74/165.02 => 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)))) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_minus__max__eq__min,axiom,
% 164.74/165.02 ! [V_y,V_x,T_a] :
% 164.74/165.02 ( class_Groups_Olinordered__ab__group__add(T_a)
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_minus__min__eq__max,axiom,
% 164.74/165.02 ! [V_y,V_x,T_a] :
% 164.74/165.02 ( class_Groups_Olinordered__ab__group__add(T_a)
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_nat__minus__add__max,axiom,
% 164.74/165.02 ! [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) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_max__Suc2,axiom,
% 164.74/165.02 ! [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) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_max__Suc1,axiom,
% 164.74/165.02 ! [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) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_max__ord__max,axiom,
% 164.74/165.02 ! [T_b] :
% 164.74/165.02 ( class_Orderings_Oord(T_b)
% 164.74/165.02 => c_Orderings_Oord__class_Omax(T_b) = c_Orderings_Oord_Omax(T_b,c_Orderings_Oord__class_Oless__eq(T_b)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Max_Oin__idem,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.02 => 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) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_posDivAlg__0,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Int__atLeastLessThan,axiom,
% 164.74/165.02 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_aa_2),V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_ca_2),V_d_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_aa_2),V_ca_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Int__greaterThanAtMost,axiom,
% 164.74/165.02 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_aa_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_aa_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Int__greaterThanLessThan,axiom,
% 164.74/165.02 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_aa_2,V_b_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_aa_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Max_OF__eq,axiom,
% 164.74/165.02 ! [V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => 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) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_dual__min,axiom,
% 164.74/165.02 ! [T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => 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) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Max__insert,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Max_Osubset__idem,axiom,
% 164.74/165.02 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.74/165.02 => 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) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Osup__Inf__absorb,axiom,
% 164.74/165.02 ! [V_aa_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.74/165.02 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_aa_2),c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_A_2)) = V_aa_2 ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Max__Un,axiom,
% 164.74/165.02 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) ) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Max_Oinsert,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Max_Oinsert__remove,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 164.74/165.02 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = V_x_2 )
% 164.74/165.02 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 164.74/165.02 => 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)))))) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Max_Ounion__disjoint,axiom,
% 164.74/165.02 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) ) ) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Max_Ounion__inter,axiom,
% 164.74/165.02 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.02 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Max_Oremove,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.02 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 164.74/165.02 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 )
% 164.74/165.02 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 164.74/165.02 => 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)))))) ) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_posDivAlg__correct,axiom,
% 164.74/165.02 ! [V_b,V_a] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.02 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_OposDivAlg(V_a,V_b))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_type__definition_ORep__range,axiom,
% 164.74/165.02 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 164.74/165.02 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 164.74/165.02 => 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 ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_type__definition_OAbs__image,axiom,
% 164.74/165.02 ! [V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 164.74/165.02 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 164.74/165.02 => 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)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Oinf__Sup2__distrib,axiom,
% 164.74/165.02 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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))))))) ) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Oinf__Sup1__distrib,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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))))) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_sup__nat__def,axiom,
% 164.74/165.02 c_Lattices_Osemilattice__sup__class_Osup(tc_Nat_Onat) = c_Orderings_Oord__class_Omax(tc_Nat_Onat) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OSup__fin_Oin__idem,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.02 => 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) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OSup__fin_Osingleton,axiom,
% 164.74/165.02 ! [V_x_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => 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 ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OSup__fin_OF__eq,axiom,
% 164.74/165.02 ! [V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => 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) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_type__definition_ORep__inject,axiom,
% 164.74/165.02 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 164.74/165.02 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 164.74/165.02 => ( hAPP(V_Rep_2,V_x_2) = hAPP(V_Rep_2,V_y_2)
% 164.74/165.02 <=> V_x_2 = V_y_2 ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_type__definition_ORep__inverse,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 164.74/165.02 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 164.74/165.02 => hAPP(V_Abs_2,hAPP(V_Rep_2,V_x_2)) = V_x_2 ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OSup__fin_Oinsert__idem,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OSup__fin_Osubset__idem,axiom,
% 164.74/165.02 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.74/165.02 => 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) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_Oinf__Sup__absorb,axiom,
% 164.74/165.02 ! [V_aa_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.74/165.02 => hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_aa_2),c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2)) = V_aa_2 ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OSup__fin_Ounion__idem,axiom,
% 164.74/165.02 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) ) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OSup__fin_Oinsert,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OSup__fin_Oinsert__remove,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 164.74/165.02 => 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 )
% 164.74/165.02 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 164.74/165.02 => 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)))))) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OSup__fin_Ounion__inter,axiom,
% 164.74/165.02 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.02 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OSup__fin_Ounion__disjoint,axiom,
% 164.74/165.02 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.02 => ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) ) ) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OSup__fin_Oremove,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.02 => ( ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 164.74/165.02 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_A_2) = V_x_2 )
% 164.74/165.02 & ( hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_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))
% 164.74/165.02 => 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)))))) ) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OInf__le__Sup,axiom,
% 164.74/165.02 ! [V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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))) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_type__definition_OAbs__inject,axiom,
% 164.74/165.02 ! [V_y_2,V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 164.74/165.02 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 164.74/165.02 => ( hAPP(V_Abs_2,V_x_2) = hAPP(V_Abs_2,V_y_2)
% 164.74/165.02 <=> V_x_2 = V_y_2 ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_type__definition_OAbs__inverse,axiom,
% 164.74/165.02 ! [V_y_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 164.74/165.02 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),V_A_2))
% 164.74/165.02 => hAPP(V_Rep_2,hAPP(V_Abs_2,V_y_2)) = V_y_2 ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_type__definition_ORep,axiom,
% 164.74/165.02 ! [V_x_2,V_A_2,V_Abs_2,V_Rep_2,T_c,T_b] :
% 164.74/165.02 ( c_Typedef_Otype__definition(T_b,T_c,V_Rep_2,V_Abs_2,V_A_2)
% 164.74/165.02 => hBOOL(hAPP(hAPP(c_member(T_c),hAPP(V_Rep_2,V_x_2)),V_A_2)) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_min__max_OSup__fin_Oclosed,axiom,
% 164.74/165.02 ! [V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( ! [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))))))
% 164.74/165.02 => 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)) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Max_Oclosed,axiom,
% 164.74/165.02 ! [V_A_2,T_b] :
% 164.74/165.02 ( class_Orderings_Olinorder(T_b)
% 164.74/165.02 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.02 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => ( ! [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))))))
% 164.74/165.02 => hBOOL(hAPP(hAPP(c_member(T_b),c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2)),V_A_2)) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__int__def,axiom,
% 164.74/165.02 ! [V_b,V_a] :
% 164.74/165.02 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.74/165.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.02 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OposDivAlg(V_a,V_b) )
% 164.74/165.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.02 => ( ( V_a = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => 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)) )
% 164.74/165.02 & ( V_a != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => 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))) ) ) ) ) )
% 164.74/165.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.74/165.02 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.02 => c_Divides_Odivmod__int(V_a,V_b) = c_Divides_OnegDivAlg(V_a,V_b) )
% 164.74/165.02 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.02 => 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))) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_negateSnd__eq,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__int__rel__neg,axiom,
% 164.74/165.02 ! [V_qr,V_b,V_a] :
% 164.74/165.02 ( 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))
% 164.74/165.02 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),hAPP(c_Divides_OnegateSnd,V_qr))) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__int__correct,axiom,
% 164.74/165.02 ! [V_a,V_b] :
% 164.74/165.02 ( V_b != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.02 => hBOOL(hAPP(c_Divides_Odivmod__int__rel(V_a,V_b),c_Divides_Odivmod__int(V_a,V_b))) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__int__mod__div,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__neg__neg,axiom,
% 164.74/165.02 ! [V_b,V_a] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => 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)))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__neg__neg,axiom,
% 164.74/165.02 ! [V_b,V_a] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => 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)))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__pos__neg,axiom,
% 164.74/165.02 ! [V_b,V_a] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => 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)))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_The__split,axiom,
% 164.74/165.02 ! [V_Pa_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_Pa_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_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_fst__map__pair,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_snd__conv,axiom,
% 164.74/165.02 ! [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 ).
% 164.74/165.02
% 164.74/165.02 fof(fact_snd__eqD,axiom,
% 164.74/165.02 ! [V_a,V_y,V_x,T_a,T_b] :
% 164.74/165.02 ( 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
% 164.74/165.02 => V_y = V_a ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_fst__conv,axiom,
% 164.74/165.02 ! [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 ).
% 164.74/165.02
% 164.74/165.02 fof(fact_fst__eqD,axiom,
% 164.74/165.02 ! [V_a,V_y,V_x,T_b,T_a] :
% 164.74/165.02 ( 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
% 164.74/165.02 => V_x = V_a ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_surjective__pairing,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_pair__collapse,axiom,
% 164.74/165.02 ! [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 ).
% 164.74/165.02
% 164.74/165.02 fof(fact_split__comp,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_prod__case__beta,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_split__beta,axiom,
% 164.74/165.02 ! [V_z_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_Pa_2),V_z_2) = hAPP(hAPP(V_Pa_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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_split__comp__eq,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_split__def,axiom,
% 164.74/165.02 ! [V_p_2,V_ca_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_d,T_b),V_ca_2),V_p_2) = hAPP(hAPP(V_ca_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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Pair__fst__snd__eq,axiom,
% 164.74/165.02 ! [T_c,T_b,V_t_2,V_s_2] :
% 164.74/165.02 ( V_s_2 = V_t_2
% 164.74/165.02 <=> ( hAPP(c_Product__Type_Ofst(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Ofst(T_b,T_c),V_t_2)
% 164.74/165.02 & hAPP(c_Product__Type_Osnd(T_b,T_c),V_s_2) = hAPP(c_Product__Type_Osnd(T_b,T_c),V_t_2) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_prod__eqI,axiom,
% 164.74/165.02 ! [V_q,V_p,T_b,T_a] :
% 164.74/165.02 ( hAPP(c_Product__Type_Ofst(T_a,T_b),V_p) = hAPP(c_Product__Type_Ofst(T_a,T_b),V_q)
% 164.74/165.02 => ( hAPP(c_Product__Type_Osnd(T_a,T_b),V_p) = hAPP(c_Product__Type_Osnd(T_a,T_b),V_q)
% 164.74/165.02 => V_p = V_q ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_snd__prod__fun,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_Eps__split,axiom,
% 164.74/165.02 ! [V_Pa_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_Pa_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_Pa_2),c_Product__Type_Ofst(T_b,T_c))),c_Product__Type_Osnd(T_b,T_c))) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_fst__def,axiom,
% 164.74/165.02 ! [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) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_snd__def,axiom,
% 164.74/165.02 ! [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) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_vimage__Times,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_fst__eq__Domain,axiom,
% 164.74/165.02 ! [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) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__int__def,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__int__def,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_snd__eq__Range,axiom,
% 164.74/165.02 ! [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) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_fst__image__times,axiom,
% 164.74/165.02 ! [V_A_2,T_c,T_b,V_B_2] :
% 164.74/165.02 ( ( V_B_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) )
% 164.74/165.02 & ( V_B_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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 ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_snd__image__times,axiom,
% 164.74/165.02 ! [V_B_2,T_c,T_b,V_A_2] :
% 164.74/165.02 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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)) )
% 164.74/165.02 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.02 => 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 ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_fst__comp__map__pair,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__neg__pos,axiom,
% 164.74/165.02 ! [V_b,V_a] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.02 => 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)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_snd__comp__map__pair,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__neg__pos,axiom,
% 164.74/165.02 ! [V_b,V_a] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.02 => 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)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__pos__pos,axiom,
% 164.74/165.02 ! [V_b,V_a] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.02 => 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)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__pos__pos,axiom,
% 164.74/165.02 ! [V_b,V_a] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.02 => 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)) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__pos__neg,axiom,
% 164.74/165.02 ! [V_b,V_a] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.74/165.02 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.02 => 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)))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_prod__size__simp,axiom,
% 164.74/165.02 ! [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))) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_exI__realizer,axiom,
% 164.74/165.02 ! [T_b,T_c,V_x_2,V_y_2,V_Pa_2] :
% 164.74/165.02 ( hBOOL(hAPP(hAPP(V_Pa_2,V_y_2),V_x_2))
% 164.74/165.02 => hBOOL(hAPP(hAPP(V_Pa_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)))) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_conjI__realizer,axiom,
% 164.74/165.02 ! [T_c,T_b,V_q_2,V_Qa_2,V_p_2,V_Pa_2] :
% 164.74/165.02 ( hBOOL(hAPP(V_Pa_2,V_p_2))
% 164.74/165.02 => ( hBOOL(hAPP(V_Qa_2,V_q_2))
% 164.74/165.02 => ( hBOOL(hAPP(V_Pa_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))))
% 164.74/165.02 & hBOOL(hAPP(V_Qa_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)))) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_reduction__pair__def,axiom,
% 164.74/165.02 ! [V_Pa_2,T_b] :
% 164.74/165.02 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 164.74/165.02 <=> ( 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_Pa_2))
% 164.74/165.02 & 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_Pa_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_Pa_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_Pa_2))) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_reduction__pair__lemma,axiom,
% 164.74/165.02 ! [V_S_2,V_R_2,V_Pa_2,T_b] :
% 164.74/165.02 ( c_FunDef_Oreduction__pair(T_b,V_Pa_2)
% 164.74/165.02 => ( 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_Pa_2)))
% 164.74/165.02 => ( 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_Pa_2)))
% 164.74/165.02 => ( c_Wellfounded_Owf(T_b,V_S_2)
% 164.74/165.02 => 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)) ) ) ) ) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_div__nat__def,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_mod__nat__def,axiom,
% 164.74/165.02 ! [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)) ).
% 164.74/165.02
% 164.74/165.02 fof(fact_divmod__nat__rel__def,axiom,
% 164.74/165.02 ! [V_qr_2,V_n_2,V_m_2] :
% 164.74/165.02 ( hBOOL(hAPP(c_Divides_Odivmod__nat__rel(V_m_2,V_n_2),V_qr_2))
% 164.74/165.02 <=> ( 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))
% 164.74/165.02 & ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.03 => hAPP(c_Product__Type_Ofst(tc_Nat_Onat,tc_Nat_Onat),V_qr_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 164.74/165.03 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)))
% 164.74/165.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),V_n_2)) ) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2))
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)))
% 164.74/165.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Product__Type_Osnd(tc_Nat_Onat,tc_Nat_Onat),V_qr_2)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_div__pos__neg__1__number__of,axiom,
% 164.74/165.03 ! [V_w] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.03 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mod__pos__neg__1__number__of,axiom,
% 164.74/165.03 ! [V_w] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.03 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),hAPP(c_Divides_OnegateSnd,c_Divides_OnegDivAlg(hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_div__pos__pos__1__number__of,axiom,
% 164.74/165.03 ! [V_w] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 164.74/165.03 => hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_of__nat__number__of__lemma,axiom,
% 164.74/165.03 ! [V_v,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => ( ( 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)))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ 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)))
% 164.74/165.03 => 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) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__number__of__int__code,axiom,
% 164.74/165.03 ! [V_l_2,V_k_2] :
% 164.74/165.03 ( 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)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__eq__number__of__int__code,axiom,
% 164.74/165.03 ! [V_l_2,V_k_2] :
% 164.74/165.03 ( 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)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_number__of__is__id,axiom,
% 164.74/165.03 ! [V_k] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_k) = V_k ).
% 164.74/165.03
% 164.74/165.03 fof(fact_number__of__reorient,axiom,
% 164.74/165.03 ! [V_x_2,V_w_2,T_b] :
% 164.74/165.03 ( class_Int_Onumber(T_b)
% 164.74/165.03 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = V_x_2
% 164.74/165.03 <=> V_x_2 = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_eq__number__of,axiom,
% 164.74/165.03 ! [V_y_2,V_x_2,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 & class_Int_Oring__char__0(T_b) )
% 164.74/165.03 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 164.74/165.03 <=> V_x_2 = V_y_2 ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_times__numeral__code_I5_J,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_minus__numeral__code_I5_J,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_plus__numeral__code_I9_J,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_number__of__eq,axiom,
% 164.74/165.03 ! [V_k,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),V_k) = hAPP(c_Int_Oring__1__class_Oof__int(T_a),V_k) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_of__int__number__of__eq,axiom,
% 164.74/165.03 ! [V_v,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_int__number__of__def,axiom,
% 164.74/165.03 ! [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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_le__number__of__eq__not__less,axiom,
% 164.74/165.03 ! [V_w_2,V_v_2,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber(T_b)
% 164.74/165.03 & class_Orderings_Olinorder(T_b) )
% 164.74/165.03 => ( 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)))
% 164.74/165.03 <=> ~ 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))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_left__distrib__number__of,axiom,
% 164.74/165.03 ! [V_v,V_b,V_a,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber(T_b)
% 164.74/165.03 & class_Rings_Osemiring(T_b) )
% 164.74/165.03 => 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))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_right__distrib__number__of,axiom,
% 164.74/165.03 ! [V_c,V_b,V_v,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber(T_b)
% 164.74/165.03 & class_Rings_Osemiring(T_b) )
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_left__diff__distrib__number__of,axiom,
% 164.74/165.03 ! [V_v,V_b,V_a,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber(T_b)
% 164.74/165.03 & class_Rings_Oring(T_b) )
% 164.74/165.03 => 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))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_right__diff__distrib__number__of,axiom,
% 164.74/165.03 ! [V_c,V_b,V_v,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber(T_b)
% 164.74/165.03 & class_Rings_Oring(T_b) )
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_le__number__of,axiom,
% 164.74/165.03 ! [V_y_2,V_x_2,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 & class_Rings_Olinordered__idom(T_b) )
% 164.74/165.03 => ( 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)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__number__of,axiom,
% 164.74/165.03 ! [V_y_2,V_x_2,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 & class_Rings_Olinordered__idom(T_b) )
% 164.74/165.03 => ( 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)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),V_y_2)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_min__number__of,axiom,
% 164.74/165.03 ! [V_v,V_u,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber(T_b)
% 164.74/165.03 & class_Orderings_Oord(T_b) )
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 164.74/165.03 => 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) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_max__number__of,axiom,
% 164.74/165.03 ! [V_v,V_u,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber(T_b)
% 164.74/165.03 & class_Orderings_Oord(T_b) )
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 164.74/165.03 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)))
% 164.74/165.03 => hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v)) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_u) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_number__of__add,axiom,
% 164.74/165.03 ! [V_w,V_v,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__number__of__eq,axiom,
% 164.74/165.03 ! [V_w,V_v,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__number__of__left,axiom,
% 164.74/165.03 ! [V_z,V_w,V_v,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_number__of__mult,axiom,
% 164.74/165.03 ! [V_w,V_v,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_arith__simps_I32_J,axiom,
% 164.74/165.03 ! [V_w,V_v,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mult__number__of__left,axiom,
% 164.74/165.03 ! [V_z,V_w,V_v,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_number__of__diff,axiom,
% 164.74/165.03 ! [V_w,V_v,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_number__of__minus,axiom,
% 164.74/165.03 ! [V_w,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_arith__simps_I30_J,axiom,
% 164.74/165.03 ! [V_w,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Ints__number__of,axiom,
% 164.74/165.03 ! [V_w_2,T_b] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 => 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))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__number__of__diff1,axiom,
% 164.74/165.03 ! [V_c,V_w,V_v,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_minus__number__of__mult,axiom,
% 164.74/165.03 ! [V_z,V_w,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_diff__number__of__eq,axiom,
% 164.74/165.03 ! [V_w,V_v,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_minus__numeral__code_I6_J,axiom,
% 164.74/165.03 ! [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))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__number__of__diff2,axiom,
% 164.74/165.03 ! [V_w,V_c,V_v,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_int__eq__iff__number__of,axiom,
% 164.74/165.03 ! [V_v_2,V_m_2] :
% 164.74/165.03 ( 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)
% 164.74/165.03 <=> ( V_m_2 = hAPP(c_Int_Onat,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2))
% 164.74/165.03 & 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))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mod__pos__pos__1__number__of,axiom,
% 164.74/165.03 ! [V_w] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 164.74/165.03 => c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_one__div__nat__number__of,axiom,
% 164.74/165.03 ! [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))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power__number__of__odd__number__of,axiom,
% 164.74/165.03 ! [V_v_2,V_w_2,T_b] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 164.74/165.03 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)))),c_COMBI(T_b))) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 164.74/165.03 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_com_Osize_I11_J,axiom,
% 164.74/165.03 ! [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))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I51_J,axiom,
% 164.74/165.03 ! [V_l_2,V_k_2] :
% 164.74/165.03 ( c_Int_OBit1(V_k_2) = c_Int_OBit1(V_l_2)
% 164.74/165.03 <=> V_k_2 = V_l_2 ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I34_J,axiom,
% 164.74/165.03 ! [V_l_2,V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__eq__int__code_I16_J,axiom,
% 164.74/165.03 ! [V_k2_2,V_k1_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I17_J,axiom,
% 164.74/165.03 ! [V_l_2,V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit1(V_l_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__int__code_I16_J,axiom,
% 164.74/165.03 ! [V_k2_2,V_k1_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_bin__less__0__simps_I4_J,axiom,
% 164.74/165.03 ! [V_w_2] :
% 164.74/165.03 ( 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)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Bit1__def,axiom,
% 164.74/165.03 ! [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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__number__of__def,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__number__of,axiom,
% 164.74/165.03 ! [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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_number__of__Bit1,axiom,
% 164.74/165.03 ! [V_w,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power__number__of__odd,axiom,
% 164.74/165.03 ! [V_z_2,V_w_2,T_b] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 164.74/165.03 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_z_2))),c_COMBI(T_b))) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 164.74/165.03 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(T_b) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zpower__number__of__odd,axiom,
% 164.74/165.03 ! [V_z_2,V_w_2] :
% 164.74/165.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 164.74/165.03 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_z_2))),c_COMBI(tc_Int_Oint))) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 164.74/165.03 => hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2))) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_com_Osize_I10_J,axiom,
% 164.74/165.03 ! [V_fun_2,V_vname_2] : hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OAss(V_vname_2,V_fun_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_com_Osize_I9_J,axiom,
% 164.74/165.03 hAPP(c_Nat_Osize__class_Osize(tc_Com_Ocom),c_Com_Ocom_OSKIP) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_expand__Suc,axiom,
% 164.74/165.03 ! [V_v] :
% 164.74/165.03 ( 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)))
% 164.74/165.03 => 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))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_com_Osize_I14_J,axiom,
% 164.74/165.03 ! [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))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_com_Osize_I13_J,axiom,
% 164.74/165.03 ! [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))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_com_Osize_I12_J,axiom,
% 164.74/165.03 ! [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))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_one__mod__nat__number__of,axiom,
% 164.74/165.03 ! [V_v_H] :
% 164.74/165.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 164.74/165.03 => 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)) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 164.74/165.03 => 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))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power__nat__number__of__number__of,axiom,
% 164.74/165.03 ! [V_w,V_v] :
% 164.74/165.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => 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)) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => 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))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power__nat__number__of,axiom,
% 164.74/165.03 ! [V_n,V_v] :
% 164.74/165.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => 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)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_not__neg__0,axiom,
% 164.74/165.03 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_not__neg__1,axiom,
% 164.74/165.03 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_not__neg__int,axiom,
% 164.74/165.03 ! [V_n] : ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),V_n))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_not__neg__eq__ge__0,axiom,
% 164.74/165.03 ! [V_x_2] :
% 164.74/165.03 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_x_2))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_neg__def,axiom,
% 164.74/165.03 ! [V_Z_2] :
% 164.74/165.03 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_Z_2))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_Z_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_neg__nat,axiom,
% 164.74/165.03 ! [V_z] :
% 164.74/165.03 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 164.74/165.03 => hAPP(c_Int_Onat,V_z) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_neg__number__of__Bit1,axiom,
% 164.74/165.03 ! [V_w_2] :
% 164.74/165.03 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(V_w_2))))
% 164.74/165.03 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_not__neg__nat,axiom,
% 164.74/165.03 ! [V_z] :
% 164.74/165.03 ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z))
% 164.74/165.03 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_Int_Onat,V_z)) = V_z ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_neg__imp__number__of__eq__0,axiom,
% 164.74/165.03 ! [V_v] :
% 164.74/165.03 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_neg__zminus__int,axiom,
% 164.74/165.03 ! [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))))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_eq__nat__number__of,axiom,
% 164.74/165.03 ! [V_v_H_2,V_v_2] :
% 164.74/165.03 ( 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)
% 164.74/165.03 <=> ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 164.74/165.03 => 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))) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2)))
% 164.74/165.03 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 164.74/165.03 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H_2)))
% 164.74/165.03 => V_v_2 = V_v_H_2 ) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__number__of__add__left,axiom,
% 164.74/165.03 ! [V_k,V_v_H,V_v] :
% 164.74/165.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 164.74/165.03 => 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) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_int__nat__number__of,axiom,
% 164.74/165.03 ! [V_v] :
% 164.74/165.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => 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) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_diff__nat__eq__if,axiom,
% 164.74/165.03 ! [V_z_2,V_z_H_2] :
% 164.74/165.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 164.74/165.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(c_Int_Onat,V_z_2) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,V_z_H_2))
% 164.74/165.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onat,V_z_2)),hAPP(c_Int_Onat,V_z_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_z_2),V_z_H_2)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_of__nat__number__of__eq,axiom,
% 164.74/165.03 ! [V_v,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => 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) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mod__nat__number__of,axiom,
% 164.74/165.03 ! [V_v_H,V_v] :
% 164.74/165.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v_H)))
% 164.74/165.03 => 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))) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_div__nat__number__of,axiom,
% 164.74/165.03 ! [V_v_H,V_v] :
% 164.74/165.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => 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))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__number__of__Bit1,axiom,
% 164.74/165.03 ! [V_w_2] :
% 164.74/165.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 164.74/165.03 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2)))
% 164.74/165.03 => hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(V_w_2)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat)))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Suc__nat__number__of__add,axiom,
% 164.74/165.03 ! [V_n,V_v] :
% 164.74/165.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => 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) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_diff__nat__number__of,axiom,
% 164.74/165.03 ! [V_v_2,V_v_H_2] :
% 164.74/165.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 164.74/165.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H_2),c_Int_OPls))
% 164.74/165.03 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_v_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_v_H_2)))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),c_Int_Onat)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_min__Suc__number__of,axiom,
% 164.74/165.03 ! [V_n_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omin(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__Pls,axiom,
% 164.74/165.03 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OPls),V_k) = V_k ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__Pls__right,axiom,
% 164.74/165.03 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 164.74/165.03
% 164.74/165.03 fof(fact_minus__Pls,axiom,
% 164.74/165.03 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OPls) = c_Int_OPls ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mult__Pls,axiom,
% 164.74/165.03 ! [V_w] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Int_OPls),V_w) = c_Int_OPls ).
% 164.74/165.03
% 164.74/165.03 fof(fact_diff__bin__simps_I1_J,axiom,
% 164.74/165.03 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OPls) = V_k ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Pls__def,axiom,
% 164.74/165.03 c_Int_OPls = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_succ__pred,axiom,
% 164.74/165.03 ! [V_x] : c_Int_Osucc(c_Int_Opred(V_x)) = V_x ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I19_J,axiom,
% 164.74/165.03 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I2_J,axiom,
% 164.74/165.03 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OPls)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_succ__Pls,axiom,
% 164.74/165.03 c_Int_Osucc(c_Int_OPls) = c_Int_OBit1(c_Int_OPls) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I39_J,axiom,
% 164.74/165.03 ! [V_l] : c_Int_OPls != c_Int_OBit1(V_l) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I46_J,axiom,
% 164.74/165.03 ! [V_k] : c_Int_OBit1(V_k) != c_Int_OPls ).
% 164.74/165.03
% 164.74/165.03 fof(fact_semiring__norm_I112_J,axiom,
% 164.74/165.03 ! [T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => c_Groups_Ozero__class_Ozero(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_number__of__Pls,axiom,
% 164.74/165.03 ! [T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__numeral__0__right,axiom,
% 164.74/165.03 ! [V_a,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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 ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__numeral__0,axiom,
% 164.74/165.03 ! [V_a,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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 ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_bin__less__0__simps_I1_J,axiom,
% 164.74/165.03 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__number__of__Pls,axiom,
% 164.74/165.03 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_semiring__norm_I113_J,axiom,
% 164.74/165.03 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OPls) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zero__is__num__zero,axiom,
% 164.74/165.03 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I22_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I12_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Suc__diff__number__of,axiom,
% 164.74/165.03 ! [V_m,V_v] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v))
% 164.74/165.03 => 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))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_not__neg__number__of__Pls,axiom,
% 164.74/165.03 ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OPls))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__number__of__add__1,axiom,
% 164.74/165.03 ! [V_v] :
% 164.74/165.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 164.74/165.03 => 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)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__1__add__number__of,axiom,
% 164.74/165.03 ! [V_v] :
% 164.74/165.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 164.74/165.03 => 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)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_le__iff__pred__less,axiom,
% 164.74/165.03 ! [V_l_2,V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_Opred(V_k_2)),V_l_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_minus__Bit1,axiom,
% 164.74/165.03 ! [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))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_pred__def,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__number__of__diff__1,axiom,
% 164.74/165.03 ! [V_v] :
% 164.74/165.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v),c_Int_OPls))
% 164.74/165.03 => 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)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mult__numeral__1,axiom,
% 164.74/165.03 ! [V_a,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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 ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mult__numeral__1__right,axiom,
% 164.74/165.03 ! [V_a,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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 ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_numeral__1__eq__1,axiom,
% 164.74/165.03 ! [T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_semiring__norm_I110_J,axiom,
% 164.74/165.03 ! [T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => c_Groups_Oone__class_Oone(T_a) = hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_eq__0__number__of,axiom,
% 164.74/165.03 ! [V_v_2] :
% 164.74/165.03 ( c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_eq__number__of__0,axiom,
% 164.74/165.03 ! [V_v_2] :
% 164.74/165.03 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_number__of2,axiom,
% 164.74/165.03 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),c_Int_OPls))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I29_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OPls))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I5_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit1(V_k_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__nat__number__of,axiom,
% 164.74/165.03 ! [V_v_H_2,V_v_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)))
% 164.74/165.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2))
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_H_2)) )
% 164.74/165.03 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_2),V_v_H_2)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_le__nat__number__of,axiom,
% 164.74/165.03 ! [V_v_H_2,V_v_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_H_2)))
% 164.74/165.03 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),V_v_H_2))
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_v_2),c_Int_OPls)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_one__is__num__one,axiom,
% 164.74/165.03 c_Groups_Oone__class_Oone(tc_Int_Oint) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__numeral__1__eq__1,axiom,
% 164.74/165.03 hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Numeral1__eq1__nat,axiom,
% 164.74/165.03 c_Groups_Oone__class_Oone(tc_Nat_Onat) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit1(c_Int_OPls)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I8_J,axiom,
% 164.74/165.03 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_succ__def,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_le__special_I1_J,axiom,
% 164.74/165.03 ! [V_y_2,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 & class_Rings_Olinordered__idom(T_b) )
% 164.74/165.03 => ( 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)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_le__special_I3_J,axiom,
% 164.74/165.03 ! [V_x_2,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 & class_Rings_Olinordered__idom(T_b) )
% 164.74/165.03 => ( 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)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__special_I1_J,axiom,
% 164.74/165.03 ! [V_y_2,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 & class_Rings_Olinordered__idom(T_b) )
% 164.74/165.03 => ( 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)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_y_2)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__special_I3_J,axiom,
% 164.74/165.03 ! [V_x_2,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 & class_Rings_Olinordered__idom(T_b) )
% 164.74/165.03 => ( 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)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OPls)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__0__number__of,axiom,
% 164.74/165.03 ! [V_v_2] :
% 164.74/165.03 ( 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)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_v_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_numeral__1__eq__Suc__0,axiom,
% 164.74/165.03 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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_numeral__3__eq__3,axiom,
% 164.74/165.03 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)))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power3__eq__cube,axiom,
% 164.74/165.03 ! [V_a,T_a] :
% 164.74/165.03 ( class_Groups_Omonoid__mult(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J,axiom,
% 164.74/165.03 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),c_Int_OBit1(c_Int_OBit1(c_Int_OPls))))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Suc3__eq__add__3,axiom,
% 164.74/165.03 ! [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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__nat__number__of,axiom,
% 164.74/165.03 ! [V_v_H,V_v] :
% 164.74/165.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v_H),c_Int_OPls))
% 164.74/165.03 => 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)) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_transfer__int__nat__numerals_I4_J,axiom,
% 164.74/165.03 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)))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_transfer__nat__int__numerals_I4_J,axiom,
% 164.74/165.03 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)))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_number__of__succ,axiom,
% 164.74/165.03 ! [V_k,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_number__of__pred,axiom,
% 164.74/165.03 ! [V_w,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_le__special_I2_J,axiom,
% 164.74/165.03 ! [V_y_2,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 & class_Rings_Olinordered__idom(T_b) )
% 164.74/165.03 => ( 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)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_le__special_I4_J,axiom,
% 164.74/165.03 ! [V_x_2,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 & class_Rings_Olinordered__idom(T_b) )
% 164.74/165.03 => ( 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)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__special_I2_J,axiom,
% 164.74/165.03 ! [V_y_2,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 & class_Rings_Olinordered__idom(T_b) )
% 164.74/165.03 => ( 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)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(c_Int_OPls)),V_y_2)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__special_I4_J,axiom,
% 164.74/165.03 ! [V_x_2,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 & class_Rings_Olinordered__idom(T_b) )
% 164.74/165.03 => ( 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)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x_2),c_Int_OBit1(c_Int_OPls))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__special_I2_J,axiom,
% 164.74/165.03 ! [V_w,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__special_I3_J,axiom,
% 164.74/165.03 ! [V_v,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Suc__diff__eq__diff__pred,axiom,
% 164.74/165.03 ! [V_m,V_n] :
% 164.74/165.03 ( 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))
% 164.74/165.03 => 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)))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mult__nat__number__of,axiom,
% 164.74/165.03 ! [V_v_H,V_v] :
% 164.74/165.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 164.74/165.03 => 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)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__number__of__mult__left,axiom,
% 164.74/165.03 ! [V_k,V_v_H,V_v] :
% 164.74/165.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_v),c_Int_OPls))
% 164.74/165.03 => 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) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_neg__number__of__pred__iff__0,axiom,
% 164.74/165.03 ! [V_v_2] :
% 164.74/165.03 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))))
% 164.74/165.03 <=> hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Suc__mod__eq__add3__mod__number__of,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Suc__mod__eq__add3__mod,axiom,
% 164.74/165.03 ! [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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mod__Suc__eq__mod__add3,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Suc__div__eq__add3__div__number__of,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Suc__div__eq__add3__div,axiom,
% 164.74/165.03 ! [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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_div__Suc__eq__div__add3,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_diff__special_I2_J,axiom,
% 164.74/165.03 ! [V_v,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_diff__special_I1_J,axiom,
% 164.74/165.03 ! [V_w,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Suc__eq__number__of,axiom,
% 164.74/165.03 ! [V_v_2,V_n_2] :
% 164.74/165.03 ( hAPP(c_Nat_OSuc,V_n_2) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_n_2))))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_eq__number__of__Suc,axiom,
% 164.74/165.03 ! [V_n_2,V_v_2] :
% 164.74/165.03 ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2) = hAPP(c_Nat_OSuc,V_n_2)
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_fequal),c_Int_Onat)),V_n_2))))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__case__number__of,axiom,
% 164.74/165.03 ! [V_v_2,V_f_2,V_aa_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_aa_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_aa_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Int_Oint),V_f_2),c_Int_Onat))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__number__of__Suc,axiom,
% 164.74/165.03 ! [V_n_2,V_v_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__Suc__number__of,axiom,
% 164.74/165.03 ! [V_v_2,V_n_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2)),c_Int_Onat))))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_le__number__of__Suc,axiom,
% 164.74/165.03 ! [V_n_2,V_v_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Int_Oint),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_le__Suc__number__of,axiom,
% 164.74/165.03 ! [V_v_2,V_n_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_HOL_Obool),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fimplies),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint),c_fNot),c_Nat__Numeral_Oneg))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2)),c_Int_Onat))))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Suc__nat__number__of,axiom,
% 164.74/165.03 ! [V_v] :
% 164.74/165.03 ( ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = c_Groups_Oone__class_Oone(tc_Nat_Onat) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => 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)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_max__number__of__Suc,axiom,
% 164.74/165.03 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),V_n_2)),c_Int_Onat)))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_max__Suc__number__of,axiom,
% 164.74/165.03 ! [V_n_2,V_v_2] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),hAPP(c_Nat_OSuc,V_n_2))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Int_Oint),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Int_Onat)),V_n_2)))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__case__add__eq__if,axiom,
% 164.74/165.03 ! [V_n_2,V_v_2,V_f_2,V_aa_2,T_b] : c_Nat_Onat_Onat__case(T_b,V_aa_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_aa_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)))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_min__number__of__Suc,axiom,
% 164.74/165.03 ! [V_v_2,V_n_2] : hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_Opred(V_v_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_Int_Oint),c_If(tc_Nat_Onat)),c_Nat__Numeral_Oneg)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),c_Nat_OSuc),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n_2)),c_Int_Onat)))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_of__int__num,axiom,
% 164.74/165.03 ! [V_k_2,T_b] :
% 164.74/165.03 ( class_Rings_Oring__1(T_b)
% 164.74/165.03 => ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.03 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = c_Groups_Ozero__class_Ozero(T_b) )
% 164.74/165.03 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.03 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_k_2))) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.03 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),V_k_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,T_b),T_b),tc_fun(tc_fun(tc_Int_Oint,tc_fun(T_b,T_b)),tc_fun(tc_Int_Oint,T_b)),tc_Int_Oint),c_COMBB(tc_fun(T_b,T_b),T_b,tc_Int_Oint)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_fun(T_b,T_b),T_b),tc_Int_Oint),c_HOL_OLet(T_b,T_b)),c_Int_Oring__1__class_Oof__int(T_b)))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,T_b)),tc_Int_Oint),c_COMBS(T_b,T_b,T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(T_b,T_b)),tc_fun(tc_fun(T_b,T_b),tc_fun(T_b,tc_fun(T_b,T_b))),tc_Int_Oint),c_COMBB(T_b,tc_fun(T_b,T_b),T_b)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_fun(T_b,T_b)),tc_Int_Oint),c_If(T_b)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_HOL_Obool),c_fequal),c_Groups_Ozero__class_Ozero(tc_Int_Oint))))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b))))),hAPP(hAPP(c_COMBC(T_b,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_b),c_Groups_Oplus__class_Oplus(T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Oplus__class_Oplus(T_b)),c_COMBI(T_b)))),c_Groups_Oone__class_Oone(T_b))))),c_Divides_Odivmod__int(V_k_2,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__rec__add__eq__if,axiom,
% 164.74/165.03 ! [V_n_2,V_v_2,V_f_2,V_aa_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_aa_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_aa_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_aa_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))))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_eq__special_I2_J,axiom,
% 164.74/165.03 ! [V_y_2,T_b] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 => ( c_Groups_Oone__class_Oone(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 164.74/165.03 <=> 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)))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I44_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( c_Int_OBit0(V_k_2) = c_Int_OPls
% 164.74/165.03 <=> V_k_2 = c_Int_OPls ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I38_J,axiom,
% 164.74/165.03 ! [V_l_2] :
% 164.74/165.03 ( c_Int_OPls = c_Int_OBit0(V_l_2)
% 164.74/165.03 <=> c_Int_OPls = V_l_2 ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Bit0__Pls,axiom,
% 164.74/165.03 c_Int_OBit0(c_Int_OPls) = c_Int_OPls ).
% 164.74/165.03
% 164.74/165.03 fof(fact_iszero__number__of__Bit0,axiom,
% 164.74/165.03 ! [V_w_2,T_b] :
% 164.74/165.03 ( ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 & class_Int_Oring__char__0(T_b) )
% 164.74/165.03 => ( c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),c_Int_OBit0(V_w_2)))
% 164.74/165.03 <=> c_Int_Oiszero(T_b,hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I50_J,axiom,
% 164.74/165.03 ! [V_l,V_k] : c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I49_J,axiom,
% 164.74/165.03 ! [V_l,V_k] : c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__int__code_I13_J,axiom,
% 164.74/165.03 ! [V_k2_2,V_k1_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I14_J,axiom,
% 164.74/165.03 ! [V_l_2,V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__eq__int__code_I13_J,axiom,
% 164.74/165.03 ! [V_k2_2,V_k1_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I31_J,axiom,
% 164.74/165.03 ! [V_l_2,V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit0(V_l_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I48_J,axiom,
% 164.74/165.03 ! [V_l_2,V_k_2] :
% 164.74/165.03 ( c_Int_OBit0(V_k_2) = c_Int_OBit0(V_l_2)
% 164.74/165.03 <=> V_k_2 = V_l_2 ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_diff__bin__simps_I7_J,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mult__Bit0,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_minus__Bit0,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__Bit0__Bit0,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Bit0__def,axiom,
% 164.74/165.03 ! [V_k] : c_Int_OBit0(V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),V_k) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_iszero__0,axiom,
% 164.74/165.03 ! [T_a] :
% 164.74/165.03 ( class_Rings_Osemiring__1(T_a)
% 164.74/165.03 => c_Int_Oiszero(T_a,c_Groups_Ozero__class_Ozero(T_a)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_iszero__def,axiom,
% 164.74/165.03 ! [V_z_2,T_b] :
% 164.74/165.03 ( class_Rings_Osemiring__1(T_b)
% 164.74/165.03 => ( c_Int_Oiszero(T_b,V_z_2)
% 164.74/165.03 <=> V_z_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_not__iszero__1,axiom,
% 164.74/165.03 ! [T_a] :
% 164.74/165.03 ( class_Rings_Osemiring__1(T_a)
% 164.74/165.03 => ~ c_Int_Oiszero(T_a,c_Groups_Oone__class_Oone(T_a)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_bin__less__0__simps_I3_J,axiom,
% 164.74/165.03 ! [V_w_2] :
% 164.74/165.03 ( 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)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_w_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__rec__0,axiom,
% 164.74/165.03 ! [V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_f1_2 ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__rec__Suc,axiom,
% 164.74/165.03 ! [V_nat_2,V_f2_2,V_f1_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),hAPP(c_Nat_OSuc,V_nat_2)) = hAPP(hAPP(V_f2_2,V_nat_2),hAPP(c_Nat_Onat_Onat__rec(T_b,V_f1_2,V_f2_2),V_nat_2)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I27_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I21_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__eq__int__code_I14_J,axiom,
% 164.74/165.03 ! [V_k2_2,V_k1_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I32_J,axiom,
% 164.74/165.03 ! [V_l_2,V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I10_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OPls))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OPls)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I4_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OBit0(V_k_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),V_k_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__int__code_I15_J,axiom,
% 164.74/165.03 ! [V_k2_2,V_k1_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I16_J,axiom,
% 164.74/165.03 ! [V_l_2,V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__Bit1__Bit0,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__Bit0__Bit1,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_diff__bin__simps_I3_J,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_diff__bin__simps_I9_J,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_diff__bin__simps_I10_J,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zdiv__number__of__Bit0,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_neg__number__of__Bit0,axiom,
% 164.74/165.03 ! [V_w_2] :
% 164.74/165.03 ( hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(V_w_2))))
% 164.74/165.03 <=> hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w_2))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_pred__Bit0,axiom,
% 164.74/165.03 ! [V_k] : c_Int_Opred(c_Int_OBit0(V_k)) = c_Int_OBit1(c_Int_Opred(V_k)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_pred__Bit1,axiom,
% 164.74/165.03 ! [V_k] : c_Int_Opred(c_Int_OBit1(V_k)) = c_Int_OBit0(V_k) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_succ__Bit1,axiom,
% 164.74/165.03 ! [V_k] : c_Int_Osucc(c_Int_OBit1(V_k)) = c_Int_OBit0(c_Int_Osucc(V_k)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_succ__Bit0,axiom,
% 164.74/165.03 ! [V_k] : c_Int_Osucc(c_Int_OBit0(V_k)) = c_Int_OBit1(V_k) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__number__of__Bit0,axiom,
% 164.74/165.03 ! [V_w_2] : hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2)) = hAPP(hAPP(c_HOL_OLet(tc_Nat_Onat,tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_COMBI(tc_Nat_Onat))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_number__of__Bit0,axiom,
% 164.74/165.03 ! [V_w,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I15_J,axiom,
% 164.74/165.03 ! [V_l_2,V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OBit1(V_l_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__int__code_I14_J,axiom,
% 164.74/165.03 ! [V_k2_2,V_k1_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k1_2)),c_Int_OBit1(V_k2_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I33_J,axiom,
% 164.74/165.03 ! [V_l_2,V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OBit0(V_l_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),V_l_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__eq__int__code_I15_J,axiom,
% 164.74/165.03 ! [V_k2_2,V_k1_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k1_2)),c_Int_OBit0(V_k2_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k1_2),V_k2_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_card__UNIV__bool,axiom,
% 164.74/165.03 hAPP(c_Finite__Set_Ocard(tc_HOL_Obool),c_Orderings_Otop__class_Otop(tc_fun(tc_HOL_Obool,tc_HOL_Obool))) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mult__Bit1,axiom,
% 164.74/165.03 ! [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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_diff__bin__simps_I8_J,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__Bit1__Bit1,axiom,
% 164.74/165.03 ! [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))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power__number__of__even,axiom,
% 164.74/165.03 ! [V_w_2,V_z_2,T_b] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zpower__number__of__even,axiom,
% 164.74/165.03 ! [V_w_2,V_z_2] : hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),V_z_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Otimes__class_Otimes(tc_Int_Oint)),c_COMBI(tc_Int_Oint))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_iszero__Numeral0,axiom,
% 164.74/165.03 ! [T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OPls)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_iszero__number__of__Bit1,axiom,
% 164.74/165.03 ! [V_w,T_a] :
% 164.74/165.03 ( ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 & class_Int_Oring__char__0(T_a) )
% 164.74/165.03 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(V_w))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_double__number__of__Bit0,axiom,
% 164.74/165.03 ! [V_w,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_number__of1,axiom,
% 164.74/165.03 ! [V_n] :
% 164.74/165.03 ( 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_n)))
% 164.74/165.03 => ( 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),c_Int_OBit0(V_n))))
% 164.74/165.03 & 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),c_Int_OBit1(V_n)))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Nat__Transfer_Otransfer__int__nat__function__closures_I7_J,axiom,
% 164.74/165.03 c_Nat__Transfer_Ois__nat(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power__number__of__even__number__of,axiom,
% 164.74/165.03 ! [V_w_2,V_v_2,T_b] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 => hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(V_w_2))) = hAPP(hAPP(c_HOL_OLet(T_b,T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_v_2)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_w_2))),hAPP(hAPP(c_COMBS(T_b,T_b,T_b),c_Groups_Otimes__class_Otimes(T_b)),c_COMBI(T_b))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mult__2__right,axiom,
% 164.74/165.03 ! [V_z,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mult__2,axiom,
% 164.74/165.03 ! [V_z,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_one__add__one__is__two,axiom,
% 164.74/165.03 ! [T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zero__power2,axiom,
% 164.74/165.03 ! [T_a] :
% 164.74/165.03 ( class_Rings_Osemiring__1(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zero__eq__power2,axiom,
% 164.74/165.03 ! [V_aa_2,T_b] :
% 164.74/165.03 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 164.74/165.03 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_aa_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)
% 164.74/165.03 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_numeral__2__eq__2,axiom,
% 164.74/165.03 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))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_semiring__norm_I115_J,axiom,
% 164.74/165.03 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))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J,axiom,
% 164.74/165.03 ! [V_x,T_a] :
% 164.74/165.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.74/165.03 => 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)))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power2__eq__square,axiom,
% 164.74/165.03 ! [V_a,T_a] :
% 164.74/165.03 ( class_Groups_Omonoid__mult(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J,axiom,
% 164.74/165.03 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),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__2__eq__Suc,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__2__eq__Suc_H,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_one__power2,axiom,
% 164.74/165.03 ! [T_a] :
% 164.74/165.03 ( class_Rings_Osemiring__1(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power2__minus,axiom,
% 164.74/165.03 ! [V_a,T_a] :
% 164.74/165.03 ( class_Rings_Oring__1(T_a)
% 164.74/165.03 => 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)))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__mult__2__right,axiom,
% 164.74/165.03 ! [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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__mult__2,axiom,
% 164.74/165.03 ! [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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power__even__eq,axiom,
% 164.74/165.03 ! [V_n,V_a,T_a] :
% 164.74/165.03 ( class_Groups_Omonoid__mult(T_a)
% 164.74/165.03 => 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)))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_transfer__int__nat__numerals_I3_J,axiom,
% 164.74/165.03 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)))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_transfer__nat__int__numerals_I3_J,axiom,
% 164.74/165.03 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)))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__1__add__1,axiom,
% 164.74/165.03 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))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mod2__Suc__Suc,axiom,
% 164.74/165.03 ! [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)))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_div2__Suc__Suc,axiom,
% 164.74/165.03 ! [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))))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zmod__number__of__Bit0,axiom,
% 164.74/165.03 ! [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))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__self__div__2,axiom,
% 164.74/165.03 ! [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 ).
% 164.74/165.03
% 164.74/165.03 fof(fact_not__iszero__Numeral1,axiom,
% 164.74/165.03 ! [T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OBit1(c_Int_OPls))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_eq__number__of__eq,axiom,
% 164.74/165.03 ! [V_y_2,V_x_2,T_b] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 164.74/165.03 <=> 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)))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power2__eq__imp__eq,axiom,
% 164.74/165.03 ! [V_y,V_x,T_a] :
% 164.74/165.03 ( class_Rings_Olinordered__semidom(T_a)
% 164.74/165.03 => ( 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))))
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 164.74/165.03 => V_x = V_y ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power2__le__imp__le,axiom,
% 164.74/165.03 ! [V_y,V_x,T_a] :
% 164.74/165.03 ( class_Rings_Olinordered__semidom(T_a)
% 164.74/165.03 => ( 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))))))
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zero__le__power2,axiom,
% 164.74/165.03 ! [V_a,T_a] :
% 164.74/165.03 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.03 => 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)))))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power2__less__0,axiom,
% 164.74/165.03 ! [V_a,T_a] :
% 164.74/165.03 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.03 => ~ 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))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zero__less__power2,axiom,
% 164.74/165.03 ! [V_aa_2,T_b] :
% 164.74/165.03 ( class_Rings_Olinordered__idom(T_b)
% 164.74/165.03 => ( 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_aa_2),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))
% 164.74/165.03 <=> V_aa_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_sum__power2__eq__zero__iff,axiom,
% 164.74/165.03 ! [V_y_2,V_x_2,T_b] :
% 164.74/165.03 ( class_Rings_Olinordered__idom(T_b)
% 164.74/165.03 => ( 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)
% 164.74/165.03 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.03 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power2__eq__square__number__of,axiom,
% 164.74/165.03 ! [V_w,T_b] :
% 164.74/165.03 ( ( class_Groups_Omonoid__mult(T_b)
% 164.74/165.03 & class_Int_Onumber(T_b) )
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__2__cases,axiom,
% 164.74/165.03 ! [V_n] :
% 164.74/165.03 ( 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)))))
% 164.74/165.03 => ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.03 | V_n = hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__2,axiom,
% 164.74/165.03 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))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power2__eq__1__iff,axiom,
% 164.74/165.03 ! [V_aa_2,T_b] :
% 164.74/165.03 ( class_Rings_Oring__1__no__zero__divisors(T_b)
% 164.74/165.03 => ( hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_aa_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)
% 164.74/165.03 <=> ( V_aa_2 = c_Groups_Oone__class_Oone(T_b)
% 164.74/165.03 | V_aa_2 = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b)) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J,axiom,
% 164.74/165.03 ! [V_n,V_x,T_a] :
% 164.74/165.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power__minus__even,axiom,
% 164.74/165.03 ! [V_n,V_a,T_a] :
% 164.74/165.03 ( class_Rings_Oring__1(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power2__less__imp__less,axiom,
% 164.74/165.03 ! [V_y,V_x,T_a] :
% 164.74/165.03 ( class_Rings_Olinordered__semidom(T_a)
% 164.74/165.03 => ( 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))))))
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y)) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_sum__power2__le__zero__iff,axiom,
% 164.74/165.03 ! [V_y_2,V_x_2,T_b] :
% 164.74/165.03 ( class_Rings_Olinordered__idom(T_b)
% 164.74/165.03 => ( 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)))
% 164.74/165.03 <=> ( V_x_2 = c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.03 & V_y_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_sum__power2__ge__zero,axiom,
% 164.74/165.03 ! [V_y,V_x,T_a] :
% 164.74/165.03 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.03 => 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))))))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_not__sum__power2__lt__zero,axiom,
% 164.74/165.03 ! [V_y,V_x,T_a] :
% 164.74/165.03 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.03 => ~ 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))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_sum__power2__gt__zero__iff,axiom,
% 164.74/165.03 ! [V_y_2,V_x_2,T_b] :
% 164.74/165.03 ( class_Rings_Olinordered__idom(T_b)
% 164.74/165.03 => ( 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)))))))
% 164.74/165.03 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.03 | V_y_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power2__sum,axiom,
% 164.74/165.03 ! [V_y,V_x,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zero__le__even__power_H,axiom,
% 164.74/165.03 ! [V_n,V_a,T_a] :
% 164.74/165.03 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.03 => 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)))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J,axiom,
% 164.74/165.03 ! [V_n,V_x,T_a] :
% 164.74/165.03 ( class_Rings_Ocomm__semiring__1(T_a)
% 164.74/165.03 => 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))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power__odd__eq,axiom,
% 164.74/165.03 ! [V_n,V_a,T_a] :
% 164.74/165.03 ( class_Groups_Omonoid__mult(T_a)
% 164.74/165.03 => 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))))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power__minus1__even,axiom,
% 164.74/165.03 ! [V_n,T_a] :
% 164.74/165.03 ( class_Rings_Oring__1(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zdiv__number__of__Bit1,axiom,
% 164.74/165.03 ! [V_v,V_w] :
% 164.74/165.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 164.74/165.03 => 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)) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 164.74/165.03 => 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)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mod2__gr__0,axiom,
% 164.74/165.03 ! [V_m_2] :
% 164.74/165.03 ( 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))))))
% 164.74/165.03 <=> 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_div__2__gt__zero,axiom,
% 164.74/165.03 ! [V_n] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_n))
% 164.74/165.03 => 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)))))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power2__diff,axiom,
% 164.74/165.03 ! [V_y,V_x,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_odd__0__le__power__imp__0__le,axiom,
% 164.74/165.03 ! [V_n,V_a,T_a] :
% 164.74/165.03 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.03 => ( 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)))))
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_odd__power__less__zero,axiom,
% 164.74/165.03 ! [V_n,V_a,T_a] :
% 164.74/165.03 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.03 => 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,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))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power__minus1__odd,axiom,
% 164.74/165.03 ! [V_n,T_a] :
% 164.74/165.03 ( class_Rings_Oring__1(T_a)
% 164.74/165.03 => 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(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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Suc__n__div__2__gt__zero,axiom,
% 164.74/165.03 ! [V_n] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n))
% 164.74/165.03 => 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)))))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_eq__special_I3_J,axiom,
% 164.74/165.03 ! [V_x_2,T_b] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.03 <=> 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)))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_eq__special_I1_J,axiom,
% 164.74/165.03 ! [V_y_2,T_b] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 => ( c_Groups_Ozero__class_Ozero(T_b) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_y_2)
% 164.74/165.03 <=> 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)))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_of__nat__double,axiom,
% 164.74/165.03 ! [V_x,T_a] :
% 164.74/165.03 ( class_Rings_Osemiring__1(T_a)
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x))
% 164.74/165.03 => 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))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_pos__zmod__mult__2,axiom,
% 164.74/165.03 ! [V_b,V_a] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.74/165.03 => 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))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_pos__zdiv__mult__2,axiom,
% 164.74/165.03 ! [V_b,V_a] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_neg__zdiv__mult__2,axiom,
% 164.74/165.03 ! [V_b,V_a] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_arith__series__int,axiom,
% 164.74/165.03 ! [V_n_2,V_d_2,V_aa_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_aa_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_aa_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_aa_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)))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_neg__zmod__mult__2,axiom,
% 164.74/165.03 ! [V_b,V_a] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_a),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zmod__number__of__Bit1,axiom,
% 164.74/165.03 ! [V_v,V_w] :
% 164.74/165.03 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 164.74/165.03 => 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)) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 164.74/165.03 => 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)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__rec__number__of,axiom,
% 164.74/165.03 ! [V_v_2,V_f_2,V_aa_2,T_b] : hAPP(c_Nat_Onat_Onat__rec(T_b,V_aa_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_aa_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_aa_2,V_f_2)),c_Int_Onat)))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_eq__special_I4_J,axiom,
% 164.74/165.03 ! [V_x_2,T_b] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 => ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_x_2) = c_Groups_Oone__class_Oone(T_b)
% 164.74/165.03 <=> 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))))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_adjust__eq,axiom,
% 164.74/165.03 ! [V_r_2,V_q_2,V_b_2] : hAPP(c_Divides_Oadjust(V_b_2),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_q_2),V_r_2)) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_r_2),V_b_2)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_q_2)),V_r_2))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_adjust__def,axiom,
% 164.74/165.03 ! [V_b_2] : c_Divides_Oadjust(V_b_2) = hAPP(c_Product__Type_Oprod_Oprod__case(tc_Int_Oint,tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_fun(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_Int_Oint,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),hAPP(c_COMBS(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_If(tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_HOL_Obool,tc_Int_Oint),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),hAPP(hAPP(c_COMBB(tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_fun(tc_fun(tc_Int_Oint,tc_Int_Oint),tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint))),tc_Int_Oint),c_COMBB(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))))),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint)),V_b_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_prod(tc_Int_Oint,tc_Int_Oint)),tc_Int_Oint),c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint)),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls))))))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_posDivAlg__eqn__1__number__of,axiom,
% 164.74/165.03 ! [V_w] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 164.74/165.03 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),c_Groups_Oone__class_Oone(tc_Int_Oint)) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 164.74/165.03 => c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OposDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_posDivAlg__eqn__number__of,axiom,
% 164.74/165.03 ! [V_w,V_v] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OposDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_posDivAlg__eqn,axiom,
% 164.74/165.03 ! [V_a,V_b] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 164.74/165.03 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 164.74/165.03 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_posDivAlg_Osimps,axiom,
% 164.74/165.03 ! [V_b,V_a] :
% 164.74/165.03 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 164.74/165.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 164.74/165.03 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a) )
% 164.74/165.03 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_a),V_b))
% 164.74/165.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 164.74/165.03 => c_Divides_OposDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OposDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_posDivAlg_Opsimps,axiom,
% 164.74/165.03 ! [V_b_2,V_aa_2] :
% 164.74/165.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_aa_2),V_b_2)))
% 164.74/165.03 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_aa_2),V_b_2))
% 164.74/165.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 164.74/165.03 => c_Divides_OposDivAlg(V_aa_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_aa_2) )
% 164.74/165.03 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_aa_2),V_b_2))
% 164.74/165.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 164.74/165.03 => c_Divides_OposDivAlg(V_aa_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OposDivAlg(V_aa_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))) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_negDivAlg__eqn__1__number__of,axiom,
% 164.74/165.03 ! [V_w] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 164.74/165.03 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w))))
% 164.74/165.03 => c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),c_Divides_OnegDivAlg(c_Groups_Oone__class_Oone(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)))) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_negDivAlg__eqn,axiom,
% 164.74/165.03 ! [V_a,V_b] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 164.74/165.03 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 164.74/165.03 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I37_J,axiom,
% 164.74/165.03 c_Int_OPls != c_Int_OMin ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I40_J,axiom,
% 164.74/165.03 c_Int_OMin != c_Int_OPls ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I47_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( c_Int_OBit1(V_k_2) = c_Int_OMin
% 164.74/165.03 <=> V_k_2 = c_Int_OMin ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I43_J,axiom,
% 164.74/165.03 ! [V_l_2] :
% 164.74/165.03 ( c_Int_OMin = c_Int_OBit1(V_l_2)
% 164.74/165.03 <=> c_Int_OMin = V_l_2 ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Bit1__Min,axiom,
% 164.74/165.03 c_Int_OBit1(c_Int_OMin) = c_Int_OMin ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I7_J,axiom,
% 164.74/165.03 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I24_J,axiom,
% 164.74/165.03 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OMin)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I45_J,axiom,
% 164.74/165.03 ! [V_k] : c_Int_OBit0(V_k) != c_Int_OMin ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I42_J,axiom,
% 164.74/165.03 ! [V_l] : c_Int_OMin != c_Int_OBit0(V_l) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_bin__less__0__simps_I2_J,axiom,
% 164.74/165.03 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I20_J,axiom,
% 164.74/165.03 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I23_J,axiom,
% 164.74/165.03 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I30_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I26_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I3_J,axiom,
% 164.74/165.03 ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OPls),c_Int_OMin)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I6_J,axiom,
% 164.74/165.03 hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OPls)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I13_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit1(V_k_2)),c_Int_OMin))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I9_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit1(V_k_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I28_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I8_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_eq__number__of__Pls__Min,axiom,
% 164.74/165.03 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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Int_OMin__def,axiom,
% 164.74/165.03 c_Int_OMin = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mult__Min,axiom,
% 164.74/165.03 ! [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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_neg__number__of__Min,axiom,
% 164.74/165.03 hBOOL(hAPP(c_Nat__Numeral_Oneg,hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_pred__Pls,axiom,
% 164.74/165.03 c_Int_Opred(c_Int_OPls) = c_Int_OMin ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__Min__right,axiom,
% 164.74/165.03 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Opred(V_k) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__Min,axiom,
% 164.74/165.03 ! [V_k] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),c_Int_OMin),V_k) = c_Int_Opred(V_k) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_pred__Min,axiom,
% 164.74/165.03 c_Int_Opred(c_Int_OMin) = c_Int_OBit0(c_Int_OMin) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nonzero__number__of__Min,axiom,
% 164.74/165.03 ! [T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => ~ c_Int_Oiszero(T_a,hAPP(c_Int_Onumber__class_Onumber__of(T_a),c_Int_OMin)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_succ__Min,axiom,
% 164.74/165.03 c_Int_Osucc(c_Int_OMin) = c_Int_OPls ).
% 164.74/165.03
% 164.74/165.03 fof(fact_diff__bin__simps_I2_J,axiom,
% 164.74/165.03 ! [V_k] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_k),c_Int_OMin) = c_Int_Osucc(V_k) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mult__minus1,axiom,
% 164.74/165.03 ! [V_z,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_mult__minus1__right,axiom,
% 164.74/165.03 ! [V_z,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_arith__simps_I31_J,axiom,
% 164.74/165.03 ! [T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_number__of__Min,axiom,
% 164.74/165.03 ! [T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I25_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OMin),c_Int_OBit0(V_k_2)))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OMin),V_k_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_rel__simps_I11_J,axiom,
% 164.74/165.03 ! [V_k_2] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Int_OBit0(V_k_2)),c_Int_OMin))
% 164.74/165.03 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),c_Int_OMin)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zmod__minus1__right,axiom,
% 164.74/165.03 ! [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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_diff__bin__simps_I4_J,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_minus__Min,axiom,
% 164.74/165.03 hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),c_Int_OMin) = c_Int_OBit1(c_Int_OPls) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_pos__zmult__eq__1__iff__lemma,axiom,
% 164.74/165.03 ! [V_n,V_m] :
% 164.74/165.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m),V_n) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 164.74/165.03 => ( V_m = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 164.74/165.03 | V_m = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zmult__eq__1__iff,axiom,
% 164.74/165.03 ! [V_n_2,V_m_2] :
% 164.74/165.03 ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),V_m_2),V_n_2) = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 164.74/165.03 <=> ( ( V_m_2 = c_Groups_Oone__class_Oone(tc_Int_Oint)
% 164.74/165.03 & V_n_2 = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 164.74/165.03 | ( V_m_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)
% 164.74/165.03 & V_n_2 = hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_diff__bin__simps_I6_J,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_diff__bin__simps_I5_J,axiom,
% 164.74/165.03 ! [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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_of__int__m1,axiom,
% 164.74/165.03 ! [T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zdiv__minus1__right,axiom,
% 164.74/165.03 ! [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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_div__eq__minus1,axiom,
% 164.74/165.03 ! [V_b] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_negDivAlg__minus1,axiom,
% 164.74/165.03 ! [V_b] : c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin),V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_b),c_Groups_Oone__class_Oone(tc_Int_Oint))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_div__pos__neg__trivial,axiom,
% 164.74/165.03 ! [V_b,V_a] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_a))
% 164.74/165.03 => ( 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)))
% 164.74/165.03 => 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) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zmod__minus1,axiom,
% 164.74/165.03 ! [V_b] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_b))
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power__m1__even,axiom,
% 164.74/165.03 ! [V_n,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power__m1__odd,axiom,
% 164.74/165.03 ! [V_n,T_a] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_negDivAlg_Osimps,axiom,
% 164.74/165.03 ! [V_b,V_a] :
% 164.74/165.03 ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 164.74/165.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 164.74/165.03 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)) )
% 164.74/165.03 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_a),V_b)))
% 164.74/165.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 164.74/165.03 => c_Divides_OnegDivAlg(V_a,V_b) = hAPP(c_Divides_Oadjust(V_b),c_Divides_OnegDivAlg(V_a,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),V_b))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_negDivAlg__eqn__number__of,axiom,
% 164.74/165.03 ! [V_w,V_v] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))))
% 164.74/165.03 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OMin)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v))))
% 164.74/165.03 => c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)) = hAPP(c_Divides_Oadjust(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)),c_Divides_OnegDivAlg(hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_w),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),c_Int_OBit0(c_Int_OBit1(c_Int_OPls)))),hAPP(c_Int_Onumber__class_Onumber__of(tc_Int_Oint),V_v)))) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_negDivAlg_Opsimps,axiom,
% 164.74/165.03 ! [V_b_2,V_aa_2] :
% 164.74/165.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_aa_2),V_b_2)))
% 164.74/165.03 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_aa_2),V_b_2)))
% 164.74/165.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 164.74/165.03 => c_Divides_OnegDivAlg(V_aa_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_aa_2),V_b_2)) )
% 164.74/165.03 & ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_aa_2),V_b_2)))
% 164.74/165.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_b_2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 164.74/165.03 => c_Divides_OnegDivAlg(V_aa_2,V_b_2) = hAPP(c_Divides_Oadjust(V_b_2),c_Divides_OnegDivAlg(V_aa_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))) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_posDivAlg_Opinduct,axiom,
% 164.74/165.03 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 164.74/165.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 164.74/165.03 => ( ! [B_a,B_b] :
% 164.74/165.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OposDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 164.74/165.03 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_a),B_b))
% 164.74/165.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 164.74/165.03 => hBOOL(hAPP(hAPP(V_Pa_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))) )
% 164.74/165.03 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 164.74/165.03 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_int__of__code,axiom,
% 164.74/165.03 ! [V_k] :
% 164.74/165.03 ( ( V_k = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 164.74/165.03 => hAPP(c_Code__Numeral_Oint__of,V_k) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 164.74/165.03 & ( V_k != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 164.74/165.03 => ( ( 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)
% 164.74/165.03 => 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)))))) )
% 164.74/165.03 & ( 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)
% 164.74/165.03 => 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)) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_code__numeral__zero__minus__one,axiom,
% 164.74/165.03 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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_zero__code__numeral__code,axiom,
% 164.74/165.03 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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_one__code__numeral__code,axiom,
% 164.74/165.03 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)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_div__mod__code__numeral__def,axiom,
% 164.74/165.03 ! [V_m,V_n] : c_Code__Numeral_Odiv__mod__code__numeral(V_n,V_m) = hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m)),c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_negDivAlg_Opinduct,axiom,
% 164.74/165.03 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 164.74/165.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 164.74/165.03 => ( ! [B_a,B_b] :
% 164.74/165.03 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Divides_OnegDivAlg__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_a),B_b)))
% 164.74/165.03 => ( ( ~ ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_a),B_b)))
% 164.74/165.03 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_b),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) )
% 164.74/165.03 => hBOOL(hAPP(hAPP(V_Pa_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))) )
% 164.74/165.03 => hBOOL(hAPP(hAPP(V_Pa_2,B_a),B_b)) ) )
% 164.74/165.03 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_code__numeral_Osize_I1_J,axiom,
% 164.74/165.03 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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nat__of__aux__code,axiom,
% 164.74/165.03 ! [V_n,V_i] :
% 164.74/165.03 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 164.74/165.03 => c_Code__Numeral_Onat__of__aux(V_i,V_n) = V_n )
% 164.74/165.03 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 164.74/165.03 => 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)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_code__numeral_Osize_I2_J,axiom,
% 164.74/165.03 ! [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))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Nats__number__of,axiom,
% 164.74/165.03 ! [V_w_2,T_b] :
% 164.74/165.03 ( class_Int_Onumber__ring(T_b)
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Int_OPls),V_w_2))
% 164.74/165.03 => 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))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_code__numeral_Oinject,axiom,
% 164.74/165.03 ! [V_code__numeral_H_2,V_code__numeral_2] :
% 164.74/165.03 ( c_Code__Numeral_OSuc__code__numeral(V_code__numeral_2) = c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H_2)
% 164.74/165.03 <=> V_code__numeral_2 = V_code__numeral_H_2 ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_code__numeral_Osimps_I3_J,axiom,
% 164.74/165.03 ! [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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_code__numeral_Osimps_I2_J,axiom,
% 164.74/165.03 ! [V_code__numeral_H] : c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) != c_Code__Numeral_OSuc__code__numeral(V_code__numeral_H) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Nats__0,axiom,
% 164.74/165.03 ! [T_b] :
% 164.74/165.03 ( class_Rings_Osemiring__1(T_b)
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Ozero__class_Ozero(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Nats__add,axiom,
% 164.74/165.03 ! [V_b_2,V_aa_2,T_b] :
% 164.74/165.03 ( class_Rings_Osemiring__1(T_b)
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_aa_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Nats__mult,axiom,
% 164.74/165.03 ! [V_b_2,V_aa_2,T_b] :
% 164.74/165.03 ( class_Rings_Osemiring__1(T_b)
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Nat_Osemiring__1__class_ONats(T_b)))
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_b_2)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Nats__1,axiom,
% 164.74/165.03 ! [T_b] :
% 164.74/165.03 ( class_Rings_Osemiring__1(T_b)
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_member(T_b),c_Groups_Oone__class_Oone(T_b)),c_Nat_Osemiring__1__class_ONats(T_b))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_of__nat__in__Nats,axiom,
% 164.74/165.03 ! [V_n_2,T_b] :
% 164.74/165.03 ( class_Rings_Osemiring__1(T_b)
% 164.74/165.03 => 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))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_Suc__code__numeral__minus__one,axiom,
% 164.74/165.03 ! [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 ).
% 164.74/165.03
% 164.74/165.03 fof(fact_code__numeral_Osize_I4_J,axiom,
% 164.74/165.03 ! [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))) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__gen__delta,axiom,
% 164.74/165.03 ! [V_ca_2,V_b_2,V_aa_2,V_S_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_S_2))
% 164.74/165.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_aa_2))),V_b_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_b_2,V_aa_2)),hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_ca_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)))) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_S_2))
% 164.74/165.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_aa_2))),V_b_2)),V_ca_2)),V_S_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_ca_2),hAPP(c_Finite__Set_Ocard(T_b),V_S_2)) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setsum__nonneg__leq__bound,axiom,
% 164.74/165.03 ! [V_i_2,V_B_2,V_f_2,V_s_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Oordered__ab__group__add(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 164.74/165.03 => ( ! [B_i] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 164.74/165.03 => ( hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),V_s_2) = V_B_2
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_i_2)),V_B_2)) ) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__zero,axiom,
% 164.74/165.03 ! [V_f_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Rings_Ocomm__semiring__1(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => ( ? [B_x] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.03 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 164.74/165.03 => 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) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__zero__iff,axiom,
% 164.74/165.03 ! [V_f_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( ( class_Rings_Ocomm__semiring__1(T_c)
% 164.74/165.03 & class_Rings_Ono__zero__divisors(T_c) )
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => ( 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)
% 164.74/165.03 <=> ? [B_x] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.03 & hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__cartesian__product,axiom,
% 164.74/165.03 ! [V_A_2,V_B_2,V_f_2,T_d,T_c,T_b] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_b)
% 164.74/165.03 => 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))) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_transfer__nat__int__sum__prod_I2_J,axiom,
% 164.74/165.03 ! [V_A_2,V_f_2,T_b] :
% 164.74/165.03 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.03 & class_Groups_Ocomm__monoid__mult(T_b) )
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__timesf,axiom,
% 164.74/165.03 ! [V_A_2,V_g_2,V_f_2,T_c,T_b] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_b)
% 164.74/165.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),V_g_2),V_A_2)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_int__setprod,axiom,
% 164.74/165.03 ! [V_A_2,V_f_2,T_b] : hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_of__nat__setprod,axiom,
% 164.74/165.03 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.74/165.03 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 164.74/165.03 & class_Rings_Osemiring__1(T_b) )
% 164.74/165.03 => hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Nat_Onat),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,T_c),c_Nat_Osemiring__1__class_Oof__nat(T_b)),V_f_2)),V_A_2) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_transfer__nat__int__sum__prod2_I2_J,axiom,
% 164.74/165.03 ! [V_A_2,V_f_2,T_b] : hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Nat_Onat),V_f_2),V_A_2) = hAPP(c_Int_Onat,hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_Int_Oint,T_b),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_f_2)),V_A_2)) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_of__int__setprod,axiom,
% 164.74/165.03 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.74/165.03 ( ( class_Groups_Ocomm__monoid__mult(T_b)
% 164.74/165.03 & class_Rings_Oring__1(T_b) )
% 164.74/165.03 => hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,tc_Int_Oint),V_f_2),V_A_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,T_b,T_c),c_Int_Oring__1__class_Oof__int(T_b)),V_f_2)),V_A_2) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__empty,axiom,
% 164.74/165.03 ! [V_f_2,T_c,T_b] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_b)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod_Oempty,axiom,
% 164.74/165.03 ! [V_g_2,T_c,T_b] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_b)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod_Oinfinite,axiom,
% 164.74/165.03 ! [V_g_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => 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) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__infinite,axiom,
% 164.74/165.03 ! [V_f_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => 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) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__1,axiom,
% 164.74/165.03 ! [V_A_2,T_c,T_b] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_b)
% 164.74/165.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Oone__class_Oone(T_b))),V_A_2) = c_Groups_Oone__class_Oone(T_b) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__eq__1__iff,axiom,
% 164.74/165.03 ! [V_f_2,V_F_2,T_b] :
% 164.74/165.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 164.74/165.03 => ( 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)
% 164.74/165.03 <=> ! [B_x] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_F_2))
% 164.74/165.03 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(tc_Nat_Onat) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_transfer__int__nat__sum__prod_I2_J,axiom,
% 164.74/165.03 ! [V_f_2,V_A_2,T_b] :
% 164.74/165.03 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.03 & class_Groups_Ocomm__monoid__mult(T_b) )
% 164.74/165.03 => ( c_Nat__Transfer_Onat__set(V_A_2)
% 164.74/165.03 => 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)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod_Odistrib,axiom,
% 164.74/165.03 ! [V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Groups_Otimes__class_Otimes(T_c)),V_g_2)),V_h_2)),V_A_2) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_h_2),V_A_2)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__pos__nat__iff,axiom,
% 164.74/165.03 ! [V_f_2,V_S_2,T_b] :
% 164.74/165.03 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.74/165.03 => ( 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)))
% 164.74/165.03 <=> ! [B_x] :
% 164.74/165.03 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 164.74/165.03 => 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))) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__reindex__cong,axiom,
% 164.74/165.03 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_d)
% 164.74/165.03 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.74/165.03 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 164.74/165.03 => ( V_g_2 = hAPP(c_Fun_Ocomp(T_c,T_d,T_b,V_h_2),V_f_2)
% 164.74/165.03 => 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) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__reindex,axiom,
% 164.74/165.03 ! [V_h_2,V_B_2,V_f_2,T_c,T_b,T_d] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_d)
% 164.74/165.03 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 164.74/165.03 => 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) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__reindex__id,axiom,
% 164.74/165.03 ! [V_B_2,V_f_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_B_2)
% 164.74/165.03 => 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)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__delta_H,axiom,
% 164.74/165.03 ! [V_b_2,V_aa_2,V_S_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_S_2))
% 164.74/165.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_aa_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_aa_2) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_S_2))
% 164.74/165.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(c_fequal,V_aa_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__delta,axiom,
% 164.74/165.03 ! [V_b_2,V_aa_2,V_S_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_S_2))
% 164.74/165.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_aa_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = hAPP(V_b_2,V_aa_2) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_S_2))
% 164.74/165.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBC(T_b,T_c,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,tc_fun(T_c,T_c)),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_c,tc_fun(T_c,T_c)),T_b),c_If(T_c)),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_aa_2))),V_b_2)),c_Groups_Oone__class_Oone(T_c))),V_S_2) = c_Groups_Oone__class_Oone(T_c) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__constant,axiom,
% 164.74/165.03 ! [V_y_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(c_COMBK(T_c,T_b),V_y_2)),V_A_2) = hAPP(hAPP(c_Power_Opower__class_Opower(T_c),V_y_2),hAPP(c_Finite__Set_Ocard(T_b),V_A_2)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod_Oinsert,axiom,
% 164.74/165.03 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.03 => 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)) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__insert,axiom,
% 164.74/165.03 ! [V_f_2,V_aa_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.74/165.03 => 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_aa_2),V_A_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_c),hAPP(V_f_2,V_aa_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__Un__Int,axiom,
% 164.74/165.03 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.03 => 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)) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod_Ounion__inter,axiom,
% 164.74/165.03 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.03 => 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)) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod_Oreindex,axiom,
% 164.74/165.03 ! [V_g_2,V_h_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => ( c_Fun_Oinj__on(T_b,T_b,V_h_2,V_A_2)
% 164.74/165.03 => 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) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod_Oeq__fold,axiom,
% 164.74/165.03 ! [V_g_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => 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) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod_OF__eq,axiom,
% 164.74/165.03 ! [V_g_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => 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) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => 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) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod_Oinsert__remove,axiom,
% 164.74/165.03 ! [V_x_2,V_g_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => 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)))))) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__Un__disjoint,axiom,
% 164.74/165.03 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.03 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.03 => 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)) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod_Ounion__disjoint,axiom,
% 164.74/165.03 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.03 => ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.03 => 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)) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod_Oremove,axiom,
% 164.74/165.03 ! [V_g_2,V_x_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.03 => 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)))))) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_code__numeral_Osize_I3_J,axiom,
% 164.74/165.03 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) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__Un__one,axiom,
% 164.74/165.03 ! [V_f_2,V_T_2,V_S_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 164.74/165.03 => ( ! [B_x] :
% 164.74/165.03 ( 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)))
% 164.74/165.03 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 164.74/165.03 => 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)) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod_Ounion__inter__neutral,axiom,
% 164.74/165.03 ! [V_g_2,V_B_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.03 => ( ! [B_x] :
% 164.74/165.03 ( 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)))
% 164.74/165.03 => hAPP(V_g_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 164.74/165.03 => 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)) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__diff1,axiom,
% 164.74/165.03 ! [V_aa_2,V_f_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Fields_Ofield(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => ( hAPP(V_f_2,V_aa_2) != c_Groups_Ozero__class_Ozero(T_c)
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.74/165.03 => 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_aa_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_aa_2)) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.74/165.03 => 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_aa_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) ) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_right__inverse__eq,axiom,
% 164.74/165.03 ! [V_aa_2,V_b_2,T_b] :
% 164.74/165.03 ( class_Rings_Odivision__ring(T_b)
% 164.74/165.03 => ( V_b_2 != c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.03 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_aa_2),V_b_2) = c_Groups_Oone__class_Oone(T_b)
% 164.74/165.03 <=> V_aa_2 = V_b_2 ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_divide__self,axiom,
% 164.74/165.03 ! [V_a,T_a] :
% 164.74/165.03 ( class_Rings_Odivision__ring(T_a)
% 164.74/165.03 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.03 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_divide__self__if,axiom,
% 164.74/165.03 ! [V_a,T_a] :
% 164.74/165.03 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 164.74/165.03 => ( ( V_a = c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.03 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Ozero__class_Ozero(T_a) )
% 164.74/165.03 & ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.03 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_divide__1,axiom,
% 164.74/165.03 ! [V_a,T_a] :
% 164.74/165.03 ( class_Rings_Odivision__ring(T_a)
% 164.74/165.03 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_a),c_Groups_Oone__class_Oone(T_a)) = V_a ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_diff__divide__distrib,axiom,
% 164.74/165.03 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.03 ( class_Rings_Odivision__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power__divide,axiom,
% 164.74/165.03 ! [V_n,V_b,V_a,T_a] :
% 164.74/165.03 ( class_Fields_Ofield__inverse__zero(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_add__divide__distrib,axiom,
% 164.74/165.03 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.03 ( class_Rings_Odivision__ring(T_a)
% 164.74/165.03 => 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)) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_times__divide__eq__right,axiom,
% 164.74/165.03 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.03 ( class_Rings_Odivision__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_minus__divide__left,axiom,
% 164.74/165.03 ! [V_b,V_a,T_a] :
% 164.74/165.03 ( class_Rings_Odivision__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setsum__divide__distrib,axiom,
% 164.74/165.03 ! [V_r_2,V_A_2,V_f_2,T_c,T_b] :
% 164.74/165.03 ( class_Fields_Ofield(T_b)
% 164.74/165.03 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),V_f_2),V_A_2)),V_r_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Rings_Oinverse__class_Odivide(T_b)),V_f_2)),V_r_2)),V_A_2) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nonzero__minus__divide__right,axiom,
% 164.74/165.03 ! [V_a,V_b,T_a] :
% 164.74/165.03 ( class_Rings_Odivision__ring(T_a)
% 164.74/165.03 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.03 => 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)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nonzero__minus__divide__divide,axiom,
% 164.74/165.03 ! [V_a,V_b,T_a] :
% 164.74/165.03 ( class_Rings_Odivision__ring(T_a)
% 164.74/165.03 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.03 => 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) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_divide__zero,axiom,
% 164.74/165.03 ! [V_a,T_a] :
% 164.74/165.03 ( class_Rings_Odivision__ring__inverse__zero(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_divide__zero__left,axiom,
% 164.74/165.03 ! [V_a,T_a] :
% 164.74/165.03 ( class_Rings_Odivision__ring(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_eq__divide__imp,axiom,
% 164.74/165.03 ! [V_b,V_a,V_c,T_a] :
% 164.74/165.03 ( class_Rings_Odivision__ring(T_a)
% 164.74/165.03 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.03 => ( hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c) = V_b
% 164.74/165.03 => V_a = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_divide__eq__imp,axiom,
% 164.74/165.03 ! [V_a,V_b,V_c,T_a] :
% 164.74/165.03 ( class_Rings_Odivision__ring(T_a)
% 164.74/165.03 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.03 => ( V_b = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_a),V_a),V_c)
% 164.74/165.03 => hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_a),V_b),V_c) = V_a ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nonzero__divide__eq__eq,axiom,
% 164.74/165.03 ! [V_aa_2,V_b_2,V_ca_2,T_b] :
% 164.74/165.03 ( class_Rings_Odivision__ring(T_b)
% 164.74/165.03 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.03 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2) = V_aa_2
% 164.74/165.03 <=> V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nonzero__eq__divide__eq,axiom,
% 164.74/165.03 ! [V_b_2,V_aa_2,V_ca_2,T_b] :
% 164.74/165.03 ( class_Rings_Odivision__ring(T_b)
% 164.74/165.03 => ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.03 => ( V_aa_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)
% 164.74/165.03 <=> hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2) = V_b_2 ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_nonzero__power__divide,axiom,
% 164.74/165.03 ! [V_n,V_a,V_b,T_a] :
% 164.74/165.03 ( class_Fields_Ofield(T_a)
% 164.74/165.03 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.03 => 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)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power__one__over,axiom,
% 164.74/165.03 ! [V_n,V_a,T_a] :
% 164.74/165.03 ( class_Fields_Ofield__inverse__zero(T_a)
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_setprod__dividef,axiom,
% 164.74/165.03 ! [V_g_2,V_f_2,V_A_2,T_b,T_c] :
% 164.74/165.03 ( class_Fields_Ofield__inverse__zero(T_c)
% 164.74/165.03 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.03 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),hAPP(hAPP(c_COMBS(T_b,T_c,T_c),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_c,T_c),T_b),c_Rings_Oinverse__class_Odivide(T_c)),V_f_2)),V_g_2)),V_A_2) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_c),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_f_2),V_A_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_c),V_g_2),V_A_2)) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_divide__eq__eq__number__of1,axiom,
% 164.74/165.03 ! [V_aa_2,V_w_2,V_b_2,T_b] :
% 164.74/165.03 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 164.74/165.03 & class_Int_Onumber(T_b) )
% 164.74/165.03 => ( 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_aa_2
% 164.74/165.03 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.03 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) )
% 164.74/165.03 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.03 => V_aa_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_divide__eq__eq__number__of,axiom,
% 164.74/165.03 ! [V_w_2,V_ca_2,V_b_2,T_b] :
% 164.74/165.03 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 164.74/165.03 & class_Int_Onumber(T_b) )
% 164.74/165.03 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2) = hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)
% 164.74/165.03 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.03 => 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_ca_2) )
% 164.74/165.03 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.03 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_eq__divide__eq__number__of,axiom,
% 164.74/165.03 ! [V_ca_2,V_b_2,V_w_2,T_b] :
% 164.74/165.03 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 164.74/165.03 & class_Int_Onumber(T_b) )
% 164.74/165.03 => ( 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_ca_2)
% 164.74/165.03 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)),V_ca_2) = V_b_2 )
% 164.74/165.03 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.03 => hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_eq__divide__eq__number__of1,axiom,
% 164.74/165.03 ! [V_w_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.03 ( ( class_Fields_Ofield__inverse__zero(T_b)
% 164.74/165.03 & class_Int_Onumber(T_b) )
% 164.74/165.03 => ( V_aa_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))
% 164.74/165.03 <=> ( ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) != c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.03 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)) = V_b_2 )
% 164.74/165.03 & ( hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2) = c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.03 => V_aa_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_divide__Numeral0,axiom,
% 164.74/165.03 ! [V_x,T_a] :
% 164.74/165.03 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 164.74/165.03 & class_Int_Onumber__ring(T_a) )
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_divide__Numeral1,axiom,
% 164.74/165.03 ! [V_x,T_a] :
% 164.74/165.03 ( ( class_Fields_Ofield(T_a)
% 164.74/165.03 & class_Int_Onumber__ring(T_a) )
% 164.74/165.03 => 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 ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_divide__numeral__1,axiom,
% 164.74/165.03 ! [V_a,T_a] :
% 164.74/165.03 ( ( class_Fields_Ofield(T_a)
% 164.74/165.03 & class_Int_Onumber__ring(T_a) )
% 164.74/165.03 => 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 ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_divide__minus1,axiom,
% 164.74/165.03 ! [V_x,T_a] :
% 164.74/165.03 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 164.74/165.03 & class_Int_Onumber__ring(T_a) )
% 164.74/165.03 => 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) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_divide__less__eq__number__of1,axiom,
% 164.74/165.03 ! [V_aa_2,V_w_2,V_b_2,T_b] :
% 164.74/165.03 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.03 & class_Int_Onumber(T_b) )
% 164.74/165.03 => ( 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_aa_2))
% 164.74/165.03 <=> ( ( 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)))
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 164.74/165.03 & ( ~ 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)))
% 164.74/165.03 => ( ( 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)))
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 164.74/165.03 & ( ~ 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)))
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2)) ) ) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_divide__less__eq__number__of,axiom,
% 164.74/165.03 ! [V_w_2,V_ca_2,V_b_2,T_b] :
% 164.74/165.03 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.03 & class_Int_Onumber(T_b) )
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 164.74/165.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.03 => 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_ca_2))) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.03 => 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_ca_2)),V_b_2)) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.03 => 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))) ) ) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__divide__eq__number__of,axiom,
% 164.74/165.03 ! [V_ca_2,V_b_2,V_w_2,T_b] :
% 164.74/165.03 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.03 & class_Int_Onumber(T_b) )
% 164.74/165.03 => ( 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_ca_2)))
% 164.74/165.03 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.03 => 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_ca_2)),V_b_2)) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.03 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.03 => 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_ca_2))) )
% 164.74/165.03 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.03 => 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))) ) ) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_less__divide__eq__number__of1,axiom,
% 164.74/165.03 ! [V_w_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.03 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.03 & class_Int_Onumber(T_b) )
% 164.74/165.03 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_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))))
% 164.74/165.03 <=> ( ( 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)))
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 164.74/165.03 & ( ~ 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)))
% 164.74/165.03 => ( ( 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)))
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 164.74/165.03 & ( ~ 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)))
% 164.74/165.03 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 164.74/165.03
% 164.74/165.03 fof(fact_power__diff,axiom,
% 164.74/165.03 ! [V_m,V_n,V_a,T_a] :
% 164.74/165.03 ( class_Fields_Ofield(T_a)
% 164.74/165.04 => ( V_a != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),V_m))
% 164.74/165.04 => 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)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_minus1__divide,axiom,
% 164.74/165.04 ! [V_x,T_a] :
% 164.74/165.04 ( ( class_Fields_Ofield__inverse__zero(T_a)
% 164.74/165.04 & class_Int_Onumber__ring(T_a) )
% 164.74/165.04 => 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_le__divide__eq__number__of1,axiom,
% 164.74/165.04 ! [V_w_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.04 & class_Int_Onumber(T_b) )
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_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))))
% 164.74/165.04 <=> ( ( 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)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 164.74/165.04 & ( ~ 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)))
% 164.74/165.04 => ( ( 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)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 164.74/165.04 & ( ~ 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)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_le__divide__eq__number__of,axiom,
% 164.74/165.04 ! [V_ca_2,V_b_2,V_w_2,T_b] :
% 164.74/165.04 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.04 & class_Int_Onumber(T_b) )
% 164.74/165.04 => ( 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_ca_2)))
% 164.74/165.04 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.04 => 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_ca_2)),V_b_2)) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 => 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_ca_2))) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 => 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))) ) ) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__le__eq__number__of,axiom,
% 164.74/165.04 ! [V_w_2,V_ca_2,V_b_2,T_b] :
% 164.74/165.04 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.04 & class_Int_Onumber(T_b) )
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))
% 164.74/165.04 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.04 => 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_ca_2))) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 => 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_ca_2)),V_b_2)) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 => 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))) ) ) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__le__eq__number__of1,axiom,
% 164.74/165.04 ! [V_aa_2,V_w_2,V_b_2,T_b] :
% 164.74/165.04 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.04 & class_Int_Onumber(T_b) )
% 164.74/165.04 => ( 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_aa_2))
% 164.74/165.04 <=> ( ( 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)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2)))) )
% 164.74/165.04 & ( ~ 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)))
% 164.74/165.04 => ( ( 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)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),hAPP(c_Int_Onumber__class_Onumber__of(T_b),V_w_2))),V_b_2)) )
% 164.74/165.04 & ( ~ 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)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2)) ) ) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_half__gt__zero,axiom,
% 164.74/165.04 ! [V_r,T_a] :
% 164.74/165.04 ( ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 164.74/165.04 & class_Int_Onumber__ring(T_a) )
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_r))
% 164.74/165.04 => 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)))))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_half__gt__zero__iff,axiom,
% 164.74/165.04 ! [V_r_2,T_b] :
% 164.74/165.04 ( ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.04 & class_Int_Onumber__ring(T_b) )
% 164.74/165.04 => ( 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))))))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_r_2)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_geometric__sum,axiom,
% 164.74/165.04 ! [V_n_2,V_x_2,T_b] :
% 164.74/165.04 ( class_Fields_Ofield(T_b)
% 164.74/165.04 => ( V_x_2 != c_Groups_Oone__class_Oone(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_Power_Opower__class_Opower(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_n_2)) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(hAPP(c_Power_Opower__class_Opower(T_b),V_x_2),V_n_2)),c_Groups_Oone__class_Oone(T_b))),hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),V_x_2),c_Groups_Oone__class_Oone(T_b))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_le__divide__eq,axiom,
% 164.74/165.04 ! [V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 164.74/165.04 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2)),V_b_2)) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2))) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__le__eq,axiom,
% 164.74/165.04 ! [V_aa_2,V_ca_2,V_b_2,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_aa_2))
% 164.74/165.04 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2))) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2)),V_b_2)) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2)) ) ) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_pos__le__divide__eq,axiom,
% 164.74/165.04 ! [V_b_2,V_aa_2,V_ca_2,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2)),V_b_2)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_times__divide__times__eq,axiom,
% 164.74/165.04 ! [V_w,V_z,V_y,V_x,T_a] :
% 164.74/165.04 ( class_Fields_Ofield__inverse__zero(T_a)
% 164.74/165.04 => 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_minus__divide__divide,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Fields_Ofield__inverse__zero(T_a)
% 164.74/165.04 => 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) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_minus__divide__right,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Fields_Ofield__inverse__zero(T_a)
% 164.74/165.04 => 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_zero__le__divide__iff,axiom,
% 164.74/165.04 ! [V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.04 => ( 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_aa_2),V_b_2)))
% 164.74/165.04 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2))
% 164.74/165.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 164.74/165.04 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__le__0__iff,axiom,
% 164.74/165.04 ! [V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_aa_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2))
% 164.74/165.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 164.74/165.04 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__right__mono,axiom,
% 164.74/165.04 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.74/165.04 => 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))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__right__mono__neg,axiom,
% 164.74/165.04 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => 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))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_zero__less__divide__iff,axiom,
% 164.74/165.04 ! [V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.04 => ( 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_aa_2),V_b_2)))
% 164.74/165.04 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2))
% 164.74/165.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) )
% 164.74/165.04 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__less__0__iff,axiom,
% 164.74/165.04 ! [V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_aa_2),V_b_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2))
% 164.74/165.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),c_Groups_Ozero__class_Ozero(T_b))) )
% 164.74/165.04 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_b_2)) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__pos__pos,axiom,
% 164.74/165.04 ! [V_y,V_x,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 164.74/165.04 => 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))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__pos__neg,axiom,
% 164.74/165.04 ! [V_y,V_x,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => 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))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__neg__pos,axiom,
% 164.74/165.04 ! [V_y,V_x,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 164.74/165.04 => 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))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__neg__neg,axiom,
% 164.74/165.04 ! [V_y,V_x,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => 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))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__strict__right__mono,axiom,
% 164.74/165.04 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.74/165.04 => 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))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__strict__right__mono__neg,axiom,
% 164.74/165.04 ! [V_c,V_a,V_b,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => 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))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_eq__divide__eq,axiom,
% 164.74/165.04 ! [V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Fields_Ofield__inverse__zero(T_b)
% 164.74/165.04 => ( V_aa_2 = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)
% 164.74/165.04 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2) = V_b_2 )
% 164.74/165.04 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.04 => V_aa_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__eq__eq,axiom,
% 164.74/165.04 ! [V_aa_2,V_ca_2,V_b_2,T_b] :
% 164.74/165.04 ( class_Fields_Ofield__inverse__zero(T_b)
% 164.74/165.04 => ( hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2) = V_aa_2
% 164.74/165.04 <=> ( ( V_ca_2 != c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.04 => V_b_2 = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2) )
% 164.74/165.04 & ( V_ca_2 = c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.04 => V_aa_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_mult__divide__mult__cancel__right,axiom,
% 164.74/165.04 ! [V_b,V_a,V_c,T_a] :
% 164.74/165.04 ( class_Fields_Ofield__inverse__zero(T_a)
% 164.74/165.04 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.04 => 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) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_mult__divide__mult__cancel__left,axiom,
% 164.74/165.04 ! [V_b,V_a,V_c,T_a] :
% 164.74/165.04 ( class_Fields_Ofield__inverse__zero(T_a)
% 164.74/165.04 => ( V_c != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.04 => 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) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_frac__eq__eq,axiom,
% 164.74/165.04 ! [V_w_2,V_x_2,V_z_2,V_y_2,T_b] :
% 164.74/165.04 ( class_Fields_Ofield(T_b)
% 164.74/165.04 => ( V_y_2 != c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.04 => ( V_z_2 != c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.04 => ( 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)
% 164.74/165.04 <=> 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) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__nonpos__neg,axiom,
% 164.74/165.04 ! [V_y,V_x,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => 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))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__nonpos__pos,axiom,
% 164.74/165.04 ! [V_y,V_x,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 164.74/165.04 => 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))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_frac__le,axiom,
% 164.74/165.04 ! [V_z,V_w,V_y,V_x,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 164.74/165.04 => 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))) ) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_frac__less,axiom,
% 164.74/165.04 ! [V_z,V_w,V_y,V_x,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_x),V_y))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_w),V_z))
% 164.74/165.04 => 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))) ) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_frac__less2,axiom,
% 164.74/165.04 ! [V_z,V_w,V_y,V_x,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_w))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_w),V_z))
% 164.74/165.04 => 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))) ) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__nonneg__neg,axiom,
% 164.74/165.04 ! [V_y,V_x,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_y),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => 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))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__nonneg__pos,axiom,
% 164.74/165.04 ! [V_y,V_x,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 164.74/165.04 => 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))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_less__divide__eq,axiom,
% 164.74/165.04 ! [V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 164.74/165.04 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2)),V_b_2)) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2))) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__less__eq,axiom,
% 164.74/165.04 ! [V_aa_2,V_ca_2,V_b_2,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field__inverse__zero(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_aa_2))
% 164.74/165.04 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2))) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2)),V_b_2)) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2)) ) ) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_pos__less__divide__eq,axiom,
% 164.74/165.04 ! [V_b_2,V_aa_2,V_ca_2,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2)),V_b_2)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_pos__divide__less__eq,axiom,
% 164.74/165.04 ! [V_aa_2,V_b_2,V_ca_2,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_aa_2))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_mult__imp__div__pos__less,axiom,
% 164.74/165.04 ! [V_z,V_x,V_y,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 164.74/165.04 => ( 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)))
% 164.74/165.04 => 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)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_mult__imp__less__div__pos,axiom,
% 164.74/165.04 ! [V_x,V_z,V_y,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 164.74/165.04 => ( 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))
% 164.74/165.04 => 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))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_neg__less__divide__eq,axiom,
% 164.74/165.04 ! [V_b_2,V_aa_2,V_ca_2,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_neg__divide__less__eq,axiom,
% 164.74/165.04 ! [V_aa_2,V_b_2,V_ca_2,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_aa_2))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2)),V_b_2)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__strict__left__mono,axiom,
% 164.74/165.04 ! [V_c,V_a,V_b,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_b),V_a))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.74/165.04 => ( 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)))
% 164.74/165.04 => 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))) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__strict__left__mono__neg,axiom,
% 164.74/165.04 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => ( 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)))
% 164.74/165.04 => 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))) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_add__num__frac,axiom,
% 164.74/165.04 ! [V_x,V_z,V_y,T_a] :
% 164.74/165.04 ( class_Fields_Ofield__inverse__zero(T_a)
% 164.74/165.04 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.04 => 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) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_add__divide__eq__iff,axiom,
% 164.74/165.04 ! [V_y,V_x,V_z,T_a] :
% 164.74/165.04 ( class_Fields_Ofield(T_a)
% 164.74/165.04 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.04 => 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) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_add__frac__num,axiom,
% 164.74/165.04 ! [V_z,V_x,V_y,T_a] :
% 164.74/165.04 ( class_Fields_Ofield__inverse__zero(T_a)
% 164.74/165.04 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.04 => 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) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__add__eq__iff,axiom,
% 164.74/165.04 ! [V_y,V_x,V_z,T_a] :
% 164.74/165.04 ( class_Fields_Ofield(T_a)
% 164.74/165.04 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.04 => 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) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_add__frac__eq,axiom,
% 164.74/165.04 ! [V_w,V_x,V_z,V_y,T_a] :
% 164.74/165.04 ( class_Fields_Ofield(T_a)
% 164.74/165.04 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.04 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.04 => 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)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_diff__frac__eq,axiom,
% 164.74/165.04 ! [V_w,V_x,V_z,V_y,T_a] :
% 164.74/165.04 ( class_Fields_Ofield(T_a)
% 164.74/165.04 => ( V_y != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.04 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.04 => 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)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__diff__eq__iff,axiom,
% 164.74/165.04 ! [V_y,V_x,V_z,T_a] :
% 164.74/165.04 ( class_Fields_Ofield(T_a)
% 164.74/165.04 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.04 => 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) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_diff__divide__eq__iff,axiom,
% 164.74/165.04 ! [V_y,V_x,V_z,T_a] :
% 164.74/165.04 ( class_Fields_Ofield(T_a)
% 164.74/165.04 => ( V_z != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.04 => 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) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_less__half__sum,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.74/165.04 => 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))))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_gt__half__sum,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),V_b))
% 164.74/165.04 => 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)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__left__mono__neg,axiom,
% 164.74/165.04 ! [V_c,V_b,V_a,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_c),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => ( 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)))
% 164.74/165.04 => 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))) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divide__left__mono,axiom,
% 164.74/165.04 ! [V_c,V_a,V_b,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),V_a))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_c))
% 164.74/165.04 => ( 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)))
% 164.74/165.04 => 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))) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_neg__divide__le__eq,axiom,
% 164.74/165.04 ! [V_aa_2,V_b_2,V_ca_2,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_aa_2))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2)),V_b_2)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_neg__le__divide__eq,axiom,
% 164.74/165.04 ! [V_b_2,V_aa_2,V_ca_2,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_mult__imp__le__div__pos,axiom,
% 164.74/165.04 ! [V_x,V_z,V_y,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 164.74/165.04 => ( 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))
% 164.74/165.04 => 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))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_mult__imp__div__pos__le,axiom,
% 164.74/165.04 ! [V_z,V_x,V_y,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 164.74/165.04 => ( 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)))
% 164.74/165.04 => 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)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_pos__divide__le__eq,axiom,
% 164.74/165.04 ! [V_aa_2,V_b_2,V_ca_2,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_ca_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),V_b_2),V_ca_2)),V_aa_2))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_aa_2),V_ca_2))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_transfer__int__nat__sum__prod2_I2_J,axiom,
% 164.74/165.04 ! [V_f_2,V_A_2,T_b] :
% 164.74/165.04 ( ! [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.04 => c_Nat__Transfer_Ois__nat(hAPP(V_f_2,B_x)) )
% 164.74/165.04 => 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setprod__Un,axiom,
% 164.74/165.04 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 164.74/165.04 ( class_Fields_Ofield(T_c)
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_B_2))
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => hAPP(V_f_2,B_x) != c_Groups_Ozero__class_Ozero(T_c) )
% 164.74/165.04 => 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))) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setprod__Sigma,axiom,
% 164.74/165.04 ! [V_f_2,V_B_2,T_c,V_A_2,T_b,T_d] :
% 164.74/165.04 ( class_Groups_Ocomm__monoid__mult(T_d)
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_x))) )
% 164.74/165.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_b,T_d),hAPP(hAPP(c_COMBS(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),hAPP(hAPP(c_COMBB(tc_fun(T_c,T_d),tc_fun(tc_fun(T_c,tc_HOL_Obool),T_d),T_b),c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(T_c,T_d)),V_f_2)),V_B_2)),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_prod(T_b,T_c),T_d),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d),V_f_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_c),V_A_2),V_B_2)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setsum__nonneg__0,axiom,
% 164.74/165.04 ! [V_i_2,V_f_2,V_s_2,T_b,T_c] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add(T_c)
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_s_2))
% 164.74/165.04 => ( ! [B_i] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_s_2))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_i))) )
% 164.74/165.04 => ( 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)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_s_2))
% 164.74/165.04 => hAPP(V_f_2,V_i_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_greaterThan__0,axiom,
% 164.74/165.04 hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,c_Nat_OSuc),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_sum__diff__distrib,axiom,
% 164.74/165.04 ! [V_n_2,V_Pa_2,V_Qa_2] :
% 164.74/165.04 ( ! [B_x] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_Qa_2,B_x)),hAPP(V_Pa_2,B_x)))
% 164.74/165.04 => 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_Pa_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_Qa_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_Pa_2)),V_Qa_2)),hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_greaterThan__eq__iff,axiom,
% 164.74/165.04 ! [V_y_2,V_x_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)
% 164.74/165.04 <=> V_x_2 = V_y_2 ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_greaterThan__iff,axiom,
% 164.74/165.04 ! [V_k_2,V_i_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oord(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_k_2),V_i_2)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_greaterThan__subset__iff,axiom,
% 164.74/165.04 ! [V_y_2,V_x_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_y_2)))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__un_I11_J,axiom,
% 164.74/165.04 ! [V_u_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_image__uminus__lessThan,axiom,
% 164.74/165.04 ! [V_x_2,T_b] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.74/165.04 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_image__uminus__greaterThan,axiom,
% 164.74/165.04 ! [V_x_2,T_b] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.74/165.04 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__int_I5_J,axiom,
% 164.74/165.04 ! [V_u_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_greaterThan__Suc,axiom,
% 164.74/165.04 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setsum__natinterval__difff,axiom,
% 164.74/165.04 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 164.74/165.04 ( class_Groups_Oab__group__add(T_b)
% 164.74/165.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 164.74/165.04 => 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)))) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 164.74/165.04 => 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) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_min__max_OSup__fin_Ohom__commute,axiom,
% 164.74/165.04 ! [V_N_2,V_h_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 164.74/165.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.04 => hAPP(V_h_2,c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),V_N_2)) = c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_gauss__sum,axiom,
% 164.74/165.04 ! [V_n_2,T_b] :
% 164.74/165.04 ( class_Rings_Ocomm__semiring__1(T_b)
% 164.74/165.04 => 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))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_finite__atLeastAtMost,axiom,
% 164.74/165.04 ! [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))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_all__nat__less,axiom,
% 164.74/165.04 ! [V_Pa_2,V_n_2] :
% 164.74/165.04 ( ! [B_m] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 164.74/165.04 => hBOOL(hAPP(V_Pa_2,B_m)) )
% 164.74/165.04 <=> ! [B_x] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ex__nat__less,axiom,
% 164.74/165.04 ! [V_Pa_2,V_n_2] :
% 164.74/165.04 ( ? [B_m] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_m),V_n_2))
% 164.74/165.04 & hBOOL(hAPP(V_Pa_2,B_m)) )
% 164.74/165.04 <=> ? [B_x] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeastLessThanSuc__atLeastAtMost,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeastatMost__empty__iff,axiom,
% 164.74/165.04 ! [V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_aa_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.04 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),V_b_2)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeastatMost__empty__iff2,axiom,
% 164.74/165.04 ! [V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_aa_2,V_b_2)
% 164.74/165.04 <=> ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),V_b_2)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeastatMost__empty,axiom,
% 164.74/165.04 ! [V_aa_2,V_b_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_aa_2))
% 164.74/165.04 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_aa_2,V_b_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeastatMost__subset__iff,axiom,
% 164.74/165.04 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_aa_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)))
% 164.74/165.04 <=> ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),V_b_2))
% 164.74/165.04 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_aa_2))
% 164.74/165.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2)) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeastAtMost__singleton_H,axiom,
% 164.74/165.04 ! [V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => ( V_aa_2 = V_b_2
% 164.74/165.04 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_aa_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeastAtMost__singleton__iff,axiom,
% 164.74/165.04 ! [V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => ( c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_aa_2,V_b_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_ca_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))
% 164.74/165.04 <=> ( V_aa_2 = V_b_2
% 164.74/165.04 & V_b_2 = V_ca_2 ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeastAtMost__singleton,axiom,
% 164.74/165.04 ! [V_aa_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_aa_2,V_aa_2) = hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_image__uminus__atLeastAtMost,axiom,
% 164.74/165.04 ! [V_y_2,V_x_2,T_b] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.74/165.04 => 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_image__Suc__atLeastAtMost,axiom,
% 164.74/165.04 ! [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)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setsum__shift__bounds__cl__Suc__ivl,axiom,
% 164.74/165.04 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 164.74/165.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.04 => 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,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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setsum__shift__bounds__cl__nat__ivl,axiom,
% 164.74/165.04 ! [V_n_2,V_k_2,V_m_2,V_f_2,T_b] :
% 164.74/165.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.04 => 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,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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeastSucAtMost__greaterThanAtMost,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_image__add__atLeastAtMost,axiom,
% 164.74/165.04 ! [V_j_2,V_i_2,V_k_2] : hAPP(c_Set_Oimage(tc_Nat_Onat,tc_Nat_Onat,hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),V_k_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j_2),V_k_2)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_card__atLeastAtMost,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeastAtMostSuc__conv,axiom,
% 164.74/165.04 ! [V_n_2,V_m_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_Nat_OSuc,V_n_2)))
% 164.74/165.04 => 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setsum__shift__lb__Suc0__0,axiom,
% 164.74/165.04 ! [V_k_2,V_f_2] :
% 164.74/165.04 ( hAPP(V_f_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.04 => 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__un_I21_J,axiom,
% 164.74/165.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 164.74/165.04 => 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) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__int_I15_J,axiom,
% 164.74/165.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Int__atLeastAtMost,axiom,
% 164.74/165.04 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_aa_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_aa_2),V_ca_2),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeastatMost__psubset__iff,axiom,
% 164.74/165.04 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_aa_2,V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)))
% 164.74/165.04 <=> ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),V_b_2))
% 164.74/165.04 | ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_aa_2))
% 164.74/165.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),V_d_2))
% 164.74/165.04 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_ca_2),V_aa_2))
% 164.74/165.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_b_2),V_d_2)) ) ) )
% 164.74/165.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),V_d_2)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__un_I22_J,axiom,
% 164.74/165.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 164.74/165.04 => 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) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__int_I4_J,axiom,
% 164.74/165.04 ! [V_u_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_l_2)),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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__int_I16_J,axiom,
% 164.74/165.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__int_I12_J,axiom,
% 164.74/165.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__int_I13_J,axiom,
% 164.74/165.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_m_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_m_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__int_I7_J,axiom,
% 164.74/165.04 ! [V_u_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setsum__head__Suc,axiom,
% 164.74/165.04 ! [V_f_2,V_n_2,V_m_2,T_b] :
% 164.74/165.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 164.74/165.04 => 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))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setsum__cl__ivl__Suc,axiom,
% 164.74/165.04 ! [V_f_2,V_m_2,V_n_2,T_b] :
% 164.74/165.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 164.74/165.04 => 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) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2)),V_m_2))
% 164.74/165.04 => 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))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setsum__head,axiom,
% 164.74/165.04 ! [V_Pa_2,V_n_2,V_m_2,T_b] :
% 164.74/165.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 164.74/165.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_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_Pa_2,V_m_2)),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_Pa_2),c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_m_2,V_n_2))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setsum__ub__add__nat,axiom,
% 164.74/165.04 ! [V_p_2,V_f_2,V_n_2,V_m_2,T_b] :
% 164.74/165.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.04 => ( 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))))
% 164.74/165.04 => 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)))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__un_I6_J,axiom,
% 164.74/165.04 ! [V_u_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_u_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__un_I5_J,axiom,
% 164.74/165.04 ! [V_u_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 164.74/165.04 => 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) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__un_I18_J,axiom,
% 164.74/165.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_m_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_m_2),V_u_2))
% 164.74/165.04 => 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) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__un_I19_J,axiom,
% 164.74/165.04 ! [V_u_2,V_m_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_m_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_m_2),V_u_2))
% 164.74/165.04 => 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) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeast__Suc,axiom,
% 164.74/165.04 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),V_k_2)),hAPP(hAPP(c_Set_Oinsert(tc_Nat_Onat),V_k_2),c_Orderings_Obot__class_Obot(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_UN__le__eq__Un0,axiom,
% 164.74/165.04 ! [V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),V_M_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),V_n_2)),V_M_2)),hAPP(V_M_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_min__max_OInf__fin_Ohom__commute,axiom,
% 164.74/165.04 ! [V_N_2,V_h_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 164.74/165.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.04 => hAPP(V_h_2,c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),V_N_2)) = c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_finite__atLeastAtMost__int,axiom,
% 164.74/165.04 ! [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))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_finite__atMost,axiom,
% 164.74/165.04 ! [V_k_2] : hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_k_2))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_image__uminus__atLeast,axiom,
% 164.74/165.04 ! [V_x_2,T_b] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.74/165.04 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_image__uminus__atMost,axiom,
% 164.74/165.04 ! [V_x_2,T_b] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add(T_b)
% 164.74/165.04 => hAPP(c_Set_Oimage(T_b,T_b,c_Groups_Ouminus__class_Ouminus(T_b)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_x_2)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atMost__eq__iff,axiom,
% 164.74/165.04 ! [V_y_2,V_x_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_y_2)
% 164.74/165.04 <=> V_x_2 = V_y_2 ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeast__eq__iff,axiom,
% 164.74/165.04 ! [V_y_2,V_x_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)
% 164.74/165.04 <=> V_x_2 = V_y_2 ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atMost__Int__atLeast,axiom,
% 164.74/165.04 ! [V_n_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_n_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_n_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_n_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I1_J,axiom,
% 164.74/165.04 ! [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))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_SetInterval_Otransfer__int__nat__set__function__closures,axiom,
% 164.74/165.04 ! [V_y_2,V_x_2] :
% 164.74/165.04 ( c_Nat__Transfer_Ois__nat(V_x_2)
% 164.74/165.04 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeast0AtMost,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_lessThan__Suc__atMost,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_card__atMost,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atMost__Suc,axiom,
% 164.74/165.04 ! [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)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeast__iff,axiom,
% 164.74/165.04 ! [V_k_2,V_i_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oord(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_k_2),V_i_2)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atMost__iff,axiom,
% 164.74/165.04 ! [V_k_2,V_i_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oord(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_i_2),V_k_2)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeast__subset__iff,axiom,
% 164.74/165.04 ! [V_y_2,V_x_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_x_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_y_2)))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_y_2),V_x_2)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atMost__subset__iff,axiom,
% 164.74/165.04 ! [V_y_2,V_x_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => ( 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)))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeast__0,axiom,
% 164.74/165.04 hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_SetInterval_Otransfer__nat__int__set__function__closures,axiom,
% 164.74/165.04 ! [V_y_2,V_x_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_x_2))
% 164.74/165.04 => c_Nat__Transfer_Onat__set(c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_x_2,V_y_2)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeastLessThanPlusOne__atLeastAtMost__int,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Compl__lessThan,axiom,
% 164.74/165.04 ! [V_k_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Compl__atLeast,axiom,
% 164.74/165.04 ! [V_k_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OlessThan(T_b),V_k_2) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Compl__atMost,axiom,
% 164.74/165.04 ! [V_k_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Compl__greaterThan,axiom,
% 164.74/165.04 ! [V_k_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_k_2)) = hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_k_2) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeastPlusOneAtMost__greaterThanAtMost__int,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atLeast__Suc__greaterThan,axiom,
% 164.74/165.04 ! [V_k_2] : hAPP(c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_k_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(tc_Nat_Onat),V_k_2) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_UN__atMost__UNIV,axiom,
% 164.74/165.04 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatMost(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_SetInterval_Otransfer__nat__int__set__functions_I2_J,axiom,
% 164.74/165.04 ! [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))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setsum__atMost__Suc,axiom,
% 164.74/165.04 ! [V_n_2,V_f_2,T_b] :
% 164.74/165.04 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2))),hAPP(V_f_2,hAPP(c_Nat_OSuc,V_n_2))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_atMost__0,axiom,
% 164.74/165.04 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))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__un_I14_J,axiom,
% 164.74/165.04 ! [V_u_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_simp__from__to,axiom,
% 164.74/165.04 ! [V_i_2,V_j_2] :
% 164.74/165.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 164.74/165.04 => 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)) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j_2),V_i_2))
% 164.74/165.04 => 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)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__int_I8_J,axiom,
% 164.74/165.04 ! [V_u_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_l_2),V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Int__atLeastAtMostL1,axiom,
% 164.74/165.04 ! [V_d_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_aa_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_aa_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Int__atLeastAtMostR1,axiom,
% 164.74/165.04 ! [V_d_2,V_ca_2,V_b_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_b_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_d_2)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Int__atLeastAtMostL2,axiom,
% 164.74/165.04 ! [V_ca_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_aa_2,V_b_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_ca_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_aa_2),V_ca_2),V_b_2) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Int__atLeastAtMostR2,axiom,
% 164.74/165.04 ! [V_d_2,V_ca_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_aa_2)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_ca_2,V_d_2)) = c_SetInterval_Oord__class_OatLeastAtMost(T_b,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_aa_2),V_ca_2),V_d_2) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_UN__atLeast__UNIV,axiom,
% 164.74/165.04 hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),c_SetInterval_Oord__class_OatLeast(tc_Nat_Onat)) = c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__un_I9_J,axiom,
% 164.74/165.04 ! [V_u_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 164.74/165.04 => 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) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_UN__le__add__shift,axiom,
% 164.74/165.04 ! [V_k_2,V_M_2,V_n_2,T_b] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2)),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool),tc_Nat_Onat),V_M_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_k_2))) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_k_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_k_2))),V_M_2) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__int_I3_J,axiom,
% 164.74/165.04 ! [V_u_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanAtMost(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__int_I6_J,axiom,
% 164.74/165.04 ! [V_u_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__int_I1_J,axiom,
% 164.74/165.04 ! [V_u_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Oorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_SetInterval_Oord__class_OatMost(T_b),V_l_2)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_card__atLeastAtMost__int,axiom,
% 164.74/165.04 ! [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))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_SetInterval_Otransfer__int__nat__set__functions,axiom,
% 164.74/165.04 ! [V_n_2,V_m_2] :
% 164.74/165.04 ( c_Nat__Transfer_Ois__nat(V_m_2)
% 164.74/165.04 => ( c_Nat__Transfer_Ois__nat(V_n_2)
% 164.74/165.04 => 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))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__un_I2_J,axiom,
% 164.74/165.04 ! [V_u_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => 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) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__un_I10_J,axiom,
% 164.74/165.04 ! [V_u_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 164.74/165.04 => 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) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__un_I1_J,axiom,
% 164.74/165.04 ! [V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(T_b),V_l_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__un_I13_J,axiom,
% 164.74/165.04 ! [V_u_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_l_2),V_u_2))
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OatLeastAtMost(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_l_2) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__un_I7_J,axiom,
% 164.74/165.04 ! [V_u_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 164.74/165.04 => 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) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ivl__disj__un_I12_J,axiom,
% 164.74/165.04 ! [V_u_2,V_l_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_l_2),V_u_2))
% 164.74/165.04 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),c_SetInterval_Oord__class_OgreaterThanLessThan(T_b,V_l_2,V_u_2)),hAPP(c_SetInterval_Oord__class_OatLeast(T_b),V_u_2)) = hAPP(c_SetInterval_Oord__class_OgreaterThan(T_b),V_l_2) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_aset_I6_J,axiom,
% 164.74/165.04 ! [V_A_2,V_t_2,V_D_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 164.74/165.04 => ! [B_x] :
% 164.74/165.04 ( ! [B_xa] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => ! [B_xb] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 164.74/165.04 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 164.74/165.04 => 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_t_2)) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_bset_I8_J,axiom,
% 164.74/165.04 ! [V_B_2,V_t_2,V_D_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 164.74/165.04 => ! [B_x] :
% 164.74/165.04 ( ! [B_xa] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => ! [B_xb] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 164.74/165.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_aset_I4_J,axiom,
% 164.74/165.04 ! [V_A_2,V_t_2,V_D_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 164.74/165.04 => ! [B_x] :
% 164.74/165.04 ( ! [B_xa] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => ! [B_xb] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 164.74/165.04 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 164.74/165.04 => ( B_x != V_t_2
% 164.74/165.04 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_bset_I3_J,axiom,
% 164.74/165.04 ! [V_B_2,V_t_2,V_D_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_B_2))
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => ! [B_xa] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_B_2))
% 164.74/165.04 => V_t_2 != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xa),B_x) ) )
% 164.74/165.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_aset_I3_J,axiom,
% 164.74/165.04 ! [V_A_2,V_t_2,V_D_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),V_A_2))
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => ! [B_xa] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xa),V_A_2))
% 164.74/165.04 => V_t_2 != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xa),B_x) ) )
% 164.74/165.04 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_t_2),V_D_2) = V_t_2 ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_aset_I5_J,axiom,
% 164.74/165.04 ! [V_A_2,V_t_2,V_D_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_A_2))
% 164.74/165.04 => ! [B_x] :
% 164.74/165.04 ( ! [B_xa] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => ! [B_xb] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 164.74/165.04 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 164.74/165.04 => 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_t_2)) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_bset_I4_J,axiom,
% 164.74/165.04 ! [V_B_2,V_t_2,V_D_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 164.74/165.04 => ! [B_x] :
% 164.74/165.04 ( ! [B_xa] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => ! [B_xb] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 164.74/165.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 164.74/165.04 => ( B_x != V_t_2
% 164.74/165.04 => hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2) != V_t_2 ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_bset_I7_J,axiom,
% 164.74/165.04 ! [V_B_2,V_t_2,V_D_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),V_t_2),V_B_2))
% 164.74/165.04 => ! [B_x] :
% 164.74/165.04 ( ! [B_xa] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => ! [B_xb] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 164.74/165.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_aset_I8_J,axiom,
% 164.74/165.04 ! [V_t_2,V_A_2,V_D_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 164.74/165.04 => ! [B_x] :
% 164.74/165.04 ( ! [B_xa] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => ! [B_xb] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 164.74/165.04 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),B_x))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_bset_I6_J,axiom,
% 164.74/165.04 ! [V_t_2,V_B_2,V_D_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 164.74/165.04 => ! [B_x] :
% 164.74/165.04 ( ! [B_xa] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => ! [B_xb] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 164.74/165.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_x),V_t_2))
% 164.74/165.04 => 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_t_2)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_periodic__finite__ex,axiom,
% 164.74/165.04 ! [V_Pa_2,V_d_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 164.74/165.04 => ( ! [B_x,B_k] :
% 164.74/165.04 ( hBOOL(hAPP(V_Pa_2,B_x))
% 164.74/165.04 <=> hBOOL(hAPP(V_Pa_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)))) )
% 164.74/165.04 => ( ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1))
% 164.74/165.04 <=> ? [B_x] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_bset_I5_J,axiom,
% 164.74/165.04 ! [V_t_2,V_B_2,V_D_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 164.74/165.04 => ! [B_x] :
% 164.74/165.04 ( ! [B_xa] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => ! [B_xb] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_B_2))
% 164.74/165.04 => B_x != hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_xb),B_xa) ) )
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_x),V_t_2))
% 164.74/165.04 => 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_t_2)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_aset_I7_J,axiom,
% 164.74/165.04 ! [V_t_2,V_A_2,V_D_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_D_2))
% 164.74/165.04 => ! [B_x] :
% 164.74/165.04 ( ! [B_xa] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => ! [B_xb] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_xb),V_A_2))
% 164.74/165.04 => B_x != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_xb),B_xa) ) )
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),B_x))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_t_2),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_D_2))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Max_Ohom__commute,axiom,
% 164.74/165.04 ! [V_N_2,V_h_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 164.74/165.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.04 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMax(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Min_Ohom__commute,axiom,
% 164.74/165.04 ! [V_N_2,V_h_2,T_b] :
% 164.74/165.04 ( class_Orderings_Olinorder(T_b)
% 164.74/165.04 => ( ! [B_x,B_y] : hAPP(V_h_2,hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),B_x),B_y)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),hAPP(V_h_2,B_x)),hAPP(V_h_2,B_y))
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 164.74/165.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.04 => hAPP(V_h_2,c_Big__Operators_Olinorder__class_OMin(T_b,V_N_2)) = c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_Set_Oimage(T_b,T_b,V_h_2),V_N_2)) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_decr__mult__lemma,axiom,
% 164.74/165.04 ! [V_k_2,V_Pa_2,V_d_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(V_Pa_2,B_x))
% 164.74/165.04 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),B_x),V_d_2))) )
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 164.74/165.04 => ! [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(V_Pa_2,B_x))
% 164.74/165.04 => hBOOL(hAPP(V_Pa_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)))) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_negD,axiom,
% 164.74/165.04 ! [V_x] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_x),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.04 => ? [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))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_incr__mult__lemma,axiom,
% 164.74/165.04 ! [V_k_2,V_Pa_2,V_d_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2))
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(V_Pa_2,B_x))
% 164.74/165.04 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_x),V_d_2))) )
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k_2))
% 164.74/165.04 => ! [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(V_Pa_2,B_x))
% 164.74/165.04 => hBOOL(hAPP(V_Pa_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)))) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ex__least__nat__less,axiom,
% 164.74/165.04 ! [V_n_2,V_Pa_2] :
% 164.74/165.04 ( ~ hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))
% 164.74/165.04 => ( hBOOL(hAPP(V_Pa_2,V_n_2))
% 164.74/165.04 => ? [B_k] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_k),V_n_2))
% 164.74/165.04 & ! [B_i] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_k))
% 164.74/165.04 => ~ hBOOL(hAPP(V_Pa_2,B_i)) )
% 164.74/165.04 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),B_k),c_Groups_Oone__class_Oone(tc_Nat_Onat)))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_strong__setprod__reindex__cong,axiom,
% 164.74/165.04 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 164.74/165.04 ( class_Groups_Ocomm__monoid__mult(T_d)
% 164.74/165.04 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.74/165.04 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.04 => 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) )
% 164.74/165.04 => 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) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setprod__mono__one__left,axiom,
% 164.74/165.04 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 164.74/165.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 164.74/165.04 => 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) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setprod__mono__one__right,axiom,
% 164.74/165.04 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 164.74/165.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 164.74/165.04 => 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) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_card__partition,axiom,
% 164.74/165.04 ! [V_k_2,V_C_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_C_2))
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_C_2)))
% 164.74/165.04 => ( ! [B_c] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c),V_C_2))
% 164.74/165.04 => hAPP(c_Finite__Set_Ocard(T_b),B_c) = V_k_2 )
% 164.74/165.04 => ( ! [B_c1] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c1),V_C_2))
% 164.74/165.04 => ! [B_c2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_c2),V_C_2))
% 164.74/165.04 => ( B_c1 != B_c2
% 164.74/165.04 => 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)) ) ) )
% 164.74/165.04 => 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)) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_zero__less__imp__eq__int,axiom,
% 164.74/165.04 ! [V_k] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_k))
% 164.74/165.04 => ? [B_n] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 164.74/165.04 & V_k = hAPP(c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),B_n) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setsum__mono__zero__right,axiom,
% 164.74/165.04 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 164.74/165.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 164.74/165.04 => 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) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setsum__mono__zero__left,axiom,
% 164.74/165.04 ! [V_f_2,V_S_2,V_T_2,T_b,T_c] :
% 164.74/165.04 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_T_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_S_2),V_T_2))
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) )
% 164.74/165.04 => 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) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_field__le__mult__one__interval,axiom,
% 164.74/165.04 ! [V_y,V_x,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 164.74/165.04 => ( ! [B_z] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_z))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),B_z),c_Groups_Oone__class_Oone(T_a)))
% 164.74/165.04 => 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)) ) )
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_transfer__nat__int__sum__prod__cong_I2_J,axiom,
% 164.74/165.04 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 164.74/165.04 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.04 & class_Groups_Ocomm__monoid__mult(T_b) )
% 164.74/165.04 => ( V_A_2 = V_B_2
% 164.74/165.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 164.74/165.04 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 164.74/165.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__mult__class_Osetprod(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_sgn__if,axiom,
% 164.74/165.04 ! [V_x,T_a] :
% 164.74/165.04 ( class_Groups_Osgn__if(T_a)
% 164.74/165.04 => ( ( V_x = c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.04 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Ozero__class_Ozero(T_a) )
% 164.74/165.04 & ( V_x != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 164.74/165.04 => c_Groups_Osgn__class_Osgn(T_a,V_x) = c_Groups_Oone__class_Oone(T_a) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 164.74/165.04 => c_Groups_Osgn__class_Osgn(T_a,V_x) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_sgn__1__neg,axiom,
% 164.74/165.04 ! [V_aa_2,T_b] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_b)
% 164.74/165.04 => ( c_Groups_Osgn__class_Osgn(T_b,V_aa_2) = hAPP(c_Groups_Ouminus__class_Ouminus(T_b),c_Groups_Oone__class_Oone(T_b))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_sgn__0__0,axiom,
% 164.74/165.04 ! [V_aa_2,T_b] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_b)
% 164.74/165.04 => ( c_Groups_Osgn__class_Osgn(T_b,V_aa_2) = c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.04 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_sgn0,axiom,
% 164.74/165.04 ! [T_a] :
% 164.74/165.04 ( class_Groups_Osgn__if(T_a)
% 164.74/165.04 => c_Groups_Osgn__class_Osgn(T_a,c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_sgn__times,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_sgn__sgn,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => 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) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_sgn__less,axiom,
% 164.74/165.04 ! [V_aa_2,T_b] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Osgn__class_Osgn(T_b,V_aa_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),c_Groups_Ozero__class_Ozero(T_b))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_sgn__greater,axiom,
% 164.74/165.04 ! [V_aa_2,T_b] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_b)
% 164.74/165.04 => ( 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_aa_2)))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_sgn__pos,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.74/165.04 => c_Groups_Osgn__class_Osgn(T_a,V_a) = c_Groups_Oone__class_Oone(T_a) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_sgn__1__pos,axiom,
% 164.74/165.04 ! [V_aa_2,T_b] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_b)
% 164.74/165.04 => ( c_Groups_Osgn__class_Osgn(T_b,V_aa_2) = c_Groups_Oone__class_Oone(T_b)
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_aa_2)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_zsgn__def,axiom,
% 164.74/165.04 ! [V_i] :
% 164.74/165.04 ( ( V_i = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.04 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Ozero__class_Ozero(tc_Int_Oint) )
% 164.74/165.04 & ( V_i != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 164.74/165.04 => c_Groups_Osgn__class_Osgn(tc_Int_Oint,V_i) = c_Groups_Oone__class_Oone(tc_Int_Oint) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_i))
% 164.74/165.04 => 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)) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_sgn__neg,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => c_Groups_Osgn__class_Osgn(T_a,V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),c_Groups_Oone__class_Oone(T_a)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_code__numeral_Osimps_I5_J,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_decr__lemma,axiom,
% 164.74/165.04 ! [V_z,V_x,V_d] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 164.74/165.04 => 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_incr__lemma,axiom,
% 164.74/165.04 ! [V_x,V_z,V_d] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d))
% 164.74/165.04 => 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)))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setsum__abs,axiom,
% 164.74/165.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 164.74/165.04 => 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))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setsum__abs__ge__zero,axiom,
% 164.74/165.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 164.74/165.04 => 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))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_mult__sgn__abs,axiom,
% 164.74/165.04 ! [V_x,T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => 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 ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__sgn,axiom,
% 164.74/165.04 ! [V_k,T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__divide,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 164.74/165.04 => 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_nonzero__abs__divide,axiom,
% 164.74/165.04 ! [V_a,V_b,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.04 => ( V_b != c_Groups_Ozero__class_Ozero(T_a)
% 164.74/165.04 => 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)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__one,axiom,
% 164.74/165.04 ! [T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Oone__class_Oone(T_a)) = c_Groups_Oone__class_Oone(T_a) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_power__abs,axiom,
% 164.74/165.04 ! [V_n,V_a,T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => 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) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__int__eq,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__of__nat,axiom,
% 164.74/165.04 ! [V_n,T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => 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) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__minus__cancel,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => 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) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__mult,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__mult__self,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => 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) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__add__abs,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__idempotent,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => 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) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__le__D1,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__ge__self,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__less__iff,axiom,
% 164.74/165.04 ! [V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_aa_2)),V_b_2))
% 164.74/165.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),V_aa_2),V_b_2))
% 164.74/165.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2)),V_b_2)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__le__D2,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__leI,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),V_b))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a)),V_b))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_b)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__le__iff,axiom,
% 164.74/165.04 ! [V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_aa_2)),V_b_2))
% 164.74/165.04 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_aa_2),V_b_2))
% 164.74/165.04 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Ouminus__class_Ouminus(T_b),V_aa_2)),V_b_2)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__ge__minus__self,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => 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))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__mult__less,axiom,
% 164.74/165.04 ! [V_d,V_b,V_c,V_a,T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a)),V_c))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),hAPP(c_Groups_Oabs__class_Oabs(T_a),V_b)),V_d))
% 164.74/165.04 => 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))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__triangle__ineq,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => 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)))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__setsum__abs,axiom,
% 164.74/165.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 164.74/165.04 => 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) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__power__minus,axiom,
% 164.74/165.04 ! [V_n,V_a,T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__of__nonneg,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.74/165.04 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__le__zero__iff,axiom,
% 164.74/165.04 ! [V_aa_2,T_b] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),V_aa_2)),c_Groups_Ozero__class_Ozero(T_b)))
% 164.74/165.04 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__ge__zero,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => 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))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__of__pos,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.74/165.04 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_zero__less__abs__iff,axiom,
% 164.74/165.04 ! [V_aa_2,T_b] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 164.74/165.04 => ( 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_aa_2)))
% 164.74/165.04 <=> V_aa_2 != c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__not__less__zero,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => ~ 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))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__eq__0,axiom,
% 164.74/165.04 ! [V_aa_2,T_b] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 164.74/165.04 => ( hAPP(c_Groups_Oabs__class_Oabs(T_b),V_aa_2) = c_Groups_Ozero__class_Ozero(T_b)
% 164.74/165.04 <=> V_aa_2 = c_Groups_Ozero__class_Ozero(T_b) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__zero,axiom,
% 164.74/165.04 ! [T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => hAPP(c_Groups_Oabs__class_Oabs(T_a),c_Groups_Ozero__class_Ozero(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__setprod,axiom,
% 164.74/165.04 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.74/165.04 ( class_Fields_Olinordered__field(T_b)
% 164.74/165.04 => 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) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__zmult__eq__1,axiom,
% 164.74/165.04 ! [V_n,V_m] :
% 164.74/165.04 ( 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)
% 164.74/165.04 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_m) = c_Groups_Oone__class_Oone(tc_Int_Oint) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__minus__commute,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__triangle__ineq3,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => 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)))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__triangle__ineq2,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => 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)))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__triangle__ineq2__sym,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => 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)))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__eq__mult,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Rings_Oordered__ring__abs(T_a)
% 164.74/165.04 => ( ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_a))
% 164.74/165.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a))) )
% 164.74/165.04 & ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_b))
% 164.74/165.04 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_b),c_Groups_Ozero__class_Ozero(T_a))) ) )
% 164.74/165.04 => 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)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__mult__pos,axiom,
% 164.74/165.04 ! [V_y,V_x,T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_x))
% 164.74/165.04 => 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)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__triangle__ineq4,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => 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)))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__diff__triangle__ineq,axiom,
% 164.74/165.04 ! [V_d,V_c,V_b,V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => 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))))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__of__nonpos,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__minus__le__zero,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => 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))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__if,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oabs__if(T_a)
% 164.74/165.04 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = V_a ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__of__neg,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Groups_Oordered__ab__group__add__abs(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),V_a),c_Groups_Ozero__class_Ozero(T_a)))
% 164.74/165.04 => hAPP(c_Groups_Oabs__class_Oabs(T_a),V_a) = hAPP(c_Groups_Ouminus__class_Ouminus(T_a),V_a) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_zero__le__power__abs,axiom,
% 164.74/165.04 ! [V_n,V_a,T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => 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))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__div__pos,axiom,
% 164.74/165.04 ! [V_x,V_y,T_a] :
% 164.74/165.04 ( class_Fields_Olinordered__field__inverse__zero(T_a)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),V_y))
% 164.74/165.04 => 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)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__minus__one,axiom,
% 164.74/165.04 ! [T_a] :
% 164.74/165.04 ( ( class_Int_Onumber__ring(T_a)
% 164.74/165.04 & class_Rings_Olinordered__idom(T_a) )
% 164.74/165.04 => 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) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_zabs__less__one__iff,axiom,
% 164.74/165.04 ! [V_z_2] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 <=> V_z_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_zabs__def,axiom,
% 164.74/165.04 ! [V_i] :
% 164.74/165.04 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.04 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_i) )
% 164.74/165.04 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_i),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))
% 164.74/165.04 => hAPP(c_Groups_Oabs__class_Oabs(tc_Int_Oint),V_i) = V_i ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_nat__abs__mult__distrib,axiom,
% 164.74/165.04 ! [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))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_zero__le__zpower__abs,axiom,
% 164.74/165.04 ! [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))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__number__of,axiom,
% 164.74/165.04 ! [V_x,T_a] :
% 164.74/165.04 ( ( class_Int_Onumber__ring(T_a)
% 164.74/165.04 & class_Rings_Olinordered__idom(T_a) )
% 164.74/165.04 => ( ( 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)))
% 164.74/165.04 => 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)) )
% 164.74/165.04 & ( ~ 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)))
% 164.74/165.04 => 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) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__power__minus__one,axiom,
% 164.74/165.04 ! [V_n,T_a] :
% 164.74/165.04 ( ( class_Int_Onumber__ring(T_a)
% 164.74/165.04 & class_Rings_Olinordered__idom(T_a) )
% 164.74/165.04 => 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) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_zero__less__zpower__abs__iff,axiom,
% 164.74/165.04 ! [V_n_2,V_x_2] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 <=> ( V_x_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.04 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_power2__abs,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => 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)))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_abs__power2,axiom,
% 164.74/165.04 ! [V_a,T_a] :
% 164.74/165.04 ( class_Rings_Olinordered__idom(T_a)
% 164.74/165.04 => 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)))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_code__numeral_Osimps_I4_J,axiom,
% 164.74/165.04 ! [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 ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divmod__int__pdivmod,axiom,
% 164.74/165.04 ! [V_l_2,V_k_2] :
% 164.74/165.04 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.04 => 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)) )
% 164.74/165.04 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.04 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.04 => 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) )
% 164.74/165.04 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.04 => 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)))) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Nitpick_Oint__gcd__def,axiom,
% 164.74/165.04 ! [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)))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_divmod__int__code,axiom,
% 164.74/165.04 ! [V_l_2,V_k_2] :
% 164.74/165.04 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.04 => 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)) )
% 164.74/165.04 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.04 => ( ( V_l_2 = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.04 => 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) )
% 164.74/165.04 & ( V_l_2 != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.04 => 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)))) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_fst__apsnd,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_apsnd__eq__conv,axiom,
% 164.74/165.04 ! [V_g_2,V_x_2,V_f_2,T_b,T_c,T_d] :
% 164.74/165.04 ( 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)
% 164.74/165.04 <=> 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_snd__apsnd,axiom,
% 164.74/165.04 ! [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)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_apsnd__compose,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_apsnd__conv,axiom,
% 164.74/165.04 ! [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)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_negateSnd__def,axiom,
% 164.74/165.04 c_Divides_OnegateSnd = c_Product__Type_Oapsnd(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_apsnd__def,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_apsnd__id,axiom,
% 164.74/165.04 ! [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)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_nat__gcd_Osimps,axiom,
% 164.74/165.04 ! [V_x,V_y] :
% 164.74/165.04 ( ( V_y = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.04 => c_Nitpick_Onat__gcd(V_x,V_y) = V_x )
% 164.74/165.04 & ( V_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.04 => 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)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_pdivmod__def,axiom,
% 164.74/165.04 ! [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))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_pdivmod__posDivAlg,axiom,
% 164.74/165.04 ! [V_k,V_l] :
% 164.74/165.04 ( ( V_l = c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.04 => 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)) )
% 164.74/165.04 & ( V_l != c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 164.74/165.04 => 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)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_nat__gcd_Opsimps,axiom,
% 164.74/165.04 ! [V_y_2,V_x_2] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => ( ( V_y_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.04 => c_Nitpick_Onat__gcd(V_x_2,V_y_2) = V_x_2 )
% 164.74/165.04 & ( V_y_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.04 => 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)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Nitpick_Onat__lcm__def,axiom,
% 164.74/165.04 ! [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)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Nitpick_Oint__lcm__def,axiom,
% 164.74/165.04 ! [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)))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_nat__gcd_Opinduct,axiom,
% 164.74/165.04 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => ( ! [B_x,B_y] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => ( ( B_y != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.04 => hBOOL(hAPP(hAPP(V_Pa_2,B_y),c_Divides_Odiv__class_Omod(tc_Nat_Onat,B_x,B_y))) )
% 164.74/165.04 => hBOOL(hAPP(hAPP(V_Pa_2,B_x),B_y)) ) )
% 164.74/165.04 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_apfst__apsnd,axiom,
% 164.74/165.04 ! [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))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_apsnd__apfst,axiom,
% 164.74/165.04 ! [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))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_apfst__conv,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_apfst__compose,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_snd__apfst,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_fst__apfst,axiom,
% 164.74/165.04 ! [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)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_apfst__eq__conv,axiom,
% 164.74/165.04 ! [V_g_2,V_x_2,V_f_2,T_c,T_b,T_d] :
% 164.74/165.04 ( 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)
% 164.74/165.04 <=> 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)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_apsnd__apfst__commute,axiom,
% 164.74/165.04 ! [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)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_apfst__def,axiom,
% 164.74/165.04 ! [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)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_apfst__id,axiom,
% 164.74/165.04 ! [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)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_transfer__nat__int__sum__prod__cong_I1_J,axiom,
% 164.74/165.04 ! [V_g_2,V_f_2,V_B_2,V_A_2,T_b] :
% 164.74/165.04 ( ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.04 & class_Groups_Ocomm__monoid__mult(T_b) )
% 164.74/165.04 => ( V_A_2 = V_B_2
% 164.74/165.04 => ( c_Nat__Transfer_Onat__set(V_B_2)
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 164.74/165.04 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) )
% 164.74/165.04 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),V_A_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_g_2),V_B_2) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_accp__acc__eq,axiom,
% 164.74/165.04 ! [V_x_2,V_r_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(c_Wellfounded_Oaccp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),V_x_2))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_acc__wfD,axiom,
% 164.74/165.04 ! [V_x_2,V_r_2,T_b] :
% 164.74/165.04 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_wf__acc__iff,axiom,
% 164.74/165.04 ! [V_r_2,T_b] :
% 164.74/165.04 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.74/165.04 <=> ! [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_acc__subset,axiom,
% 164.74/165.04 ! [V_R2_2,V_R1_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R1_2),V_R2_2))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),c_Wellfounded_Oacc(T_b,V_R2_2)),c_Wellfounded_Oacc(T_b,V_R1_2))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_acc__downward,axiom,
% 164.74/165.04 ! [V_aa_2,V_r_2,V_b_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),V_r_2))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_acc_Osimps,axiom,
% 164.74/165.04 ! [V_r_2,V_aa_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 164.74/165.04 <=> ! [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_aa_2)),V_r_2))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Nitpick_Ozero__frac__def,axiom,
% 164.74/165.04 ! [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))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_int__val__lemma,axiom,
% 164.74/165.04 ! [V_k_2,V_f_2,V_n_2] :
% 164.74/165.04 ( ! [B_i] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 164.74/165.04 => 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))) )
% 164.74/165.04 => ( 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))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 164.74/165.04 => ? [B_i] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 164.74/165.04 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Nitpick_Oone__frac__def,axiom,
% 164.74/165.04 ! [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))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Nitpick_Onumber__of__frac__def,axiom,
% 164.74/165.04 ! [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))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Nitpick_Ofrac__def,axiom,
% 164.74/165.04 ! [V_b,V_a,T_a] : hAPP(hAPP(c_Nitpick_Ofrac(T_a),V_a),V_b) = c_Nitpick_OAbs__Frac(T_a,c_Nitpick_Onorm__frac(V_a,V_b)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_nat0__intermed__int__val,axiom,
% 164.74/165.04 ! [V_k_2,V_f_2,V_n_2] :
% 164.74/165.04 ( ! [B_i] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 164.74/165.04 => 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))) )
% 164.74/165.04 => ( 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))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 164.74/165.04 => ? [B_i] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 164.74/165.04 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setprod__pos__nat,axiom,
% 164.74/165.04 ! [V_f_2,V_S_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 164.74/165.04 => 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))) )
% 164.74/165.04 => 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))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_folding__one__idem_Ohom__commute,axiom,
% 164.74/165.04 ! [V_N_2,V_h_2,V_F_2,V_f_2,T_b] :
% 164.74/165.04 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 164.74/165.04 => ( ! [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))
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_N_2))
% 164.74/165.04 => ( V_N_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.04 => 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)) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Rep__Integ__cases,axiom,
% 164.74/165.04 ! [V_y_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 164.74/165.04 => ~ ! [B_x] : V_y_2 != hAPP(c_Int_ORep__Integ,B_x) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Rep__Integ__induct,axiom,
% 164.74/165.04 ! [V_Pa_2,V_y_2] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),V_y_2),c_Int_OInteg))
% 164.74/165.04 => ( ! [B_x] : hBOOL(hAPP(V_Pa_2,hAPP(c_Int_ORep__Integ,B_x)))
% 164.74/165.04 => hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_folding__image__simple_Ounion__inter__neutral,axiom,
% 164.74/165.04 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 164.74/165.04 ( c_Finite__Set_Ofolding__image__simple(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => hAPP(V_g_2,B_x) = V_z_2 )
% 164.74/165.04 => 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)) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_pigeonhole__infinite,axiom,
% 164.74/165.04 ! [V_f_2,T_c,V_A_2,T_b] :
% 164.74/165.04 ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)))
% 164.74/165.04 => ? [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.04 & ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),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)))))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Abs__Integ__induct,axiom,
% 164.74/165.04 ! [V_x_2,V_Pa_2] :
% 164.74/165.04 ( ! [B_y] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg))
% 164.74/165.04 => hBOOL(hAPP(V_Pa_2,hAPP(c_Int_OAbs__Integ,B_y))) )
% 164.74/165.04 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Abs__Integ__cases,axiom,
% 164.74/165.04 ! [V_x_2] :
% 164.74/165.04 ~ ! [B_y] :
% 164.74/165.04 ( V_x_2 = hAPP(c_Int_OAbs__Integ,B_y)
% 164.74/165.04 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(tc_prod(tc_Nat_Onat,tc_Nat_Onat),tc_HOL_Obool)),B_y),c_Int_OInteg)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_finite__UN__I,axiom,
% 164.74/165.04 ! [V_B_2,T_c,V_A_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.04 => ( ! [B_a] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 164.74/165.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_B_2,B_a))) )
% 164.74/165.04 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ex__bij__betw__nat__finite__1,axiom,
% 164.74/165.04 ! [V_M_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 164.74/165.04 => ? [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) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ex__bij__betw__nat__finite,axiom,
% 164.74/165.04 ! [V_M_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 164.74/165.04 => ? [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) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_mem__splitI2,axiom,
% 164.74/165.04 ! [V_ca_2,V_z_2,T_d,T_c,T_b,V_p_2] :
% 164.74/165.04 ( ! [B_a,B_b] :
% 164.74/165.04 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_a),B_b)
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_member(T_d),V_z_2),hAPP(hAPP(V_ca_2,B_a),B_b))) )
% 164.74/165.04 => 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_ca_2),V_p_2))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_mem__splitE,axiom,
% 164.74/165.04 ! [V_p_2,V_ca_2,T_d,T_c,V_z_2,T_b] :
% 164.74/165.04 ( 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_ca_2),V_p_2)))
% 164.74/165.04 => ~ ! [B_x,B_y] :
% 164.74/165.04 ( V_p_2 = hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),B_x),B_y)
% 164.74/165.04 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_z_2),hAPP(hAPP(V_ca_2,B_x),B_y))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_setsum__SucD,axiom,
% 164.74/165.04 ! [V_n_2,V_A_2,V_f_2,T_b] :
% 164.74/165.04 ( 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)
% 164.74/165.04 => ? [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.04 & 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))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_nat__mod__eq__lemma,axiom,
% 164.74/165.04 ! [V_y,V_n,V_x] :
% 164.74/165.04 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_x,V_n) = c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_y,V_n)
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y),V_x))
% 164.74/165.04 => ? [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)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_ex__bij__betw__finite__nat,axiom,
% 164.74/165.04 ! [V_M_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_M_2))
% 164.74/165.04 => ? [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))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Sigma__mono,axiom,
% 164.74/165.04 ! [V_D_2,V_B_2,T_c,V_C_2,V_A_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_C_2))
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.04 => 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))) )
% 164.74/165.04 => 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))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_acc_OaccI,axiom,
% 164.74/165.04 ! [V_r_2,V_x_2,T_b] :
% 164.74/165.04 ( ! [B_y] :
% 164.74/165.04 ( 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))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_member(T_b),B_y),c_Wellfounded_Oacc(T_b,V_r_2))) )
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_not__acc__down,axiom,
% 164.74/165.04 ! [V_R_2,V_x_2,T_b] :
% 164.74/165.04 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_R_2)))
% 164.74/165.04 => ~ ! [B_z] :
% 164.74/165.04 ( 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))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_member(T_b),B_z),c_Wellfounded_Oacc(T_b,V_R_2))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_fold__image__1,axiom,
% 164.74/165.04 ! [V_f_2,V_S_2,T_b,T_c] :
% 164.74/165.04 ( class_Groups_Ocomm__monoid__mult(T_c)
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_S_2))
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 164.74/165.04 => hAPP(V_f_2,B_x) = c_Groups_Oone__class_Oone(T_c) )
% 164.74/165.04 => 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) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_card_Oneutral,axiom,
% 164.74/165.04 ! [V_A_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.04 => ( ( ? [B_x] : hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.04 => c_Groups_Oone__class_Oone(tc_Nat_Onat) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 164.74/165.04 => hAPP(c_Finite__Set_Ocard(T_b),V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_max__ext_Osimps,axiom,
% 164.74/165.04 ! [V_R_2,V_a2_2,V_a1_2,T_b] :
% 164.74/165.04 ( 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_a1_2),V_a2_2)),c_Wellfounded_Omax__ext(T_b,V_R_2)))
% 164.74/165.04 <=> ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a1_2))
% 164.74/165.04 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_a2_2))
% 164.74/165.04 & V_a2_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.04 & ! [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_a1_2))
% 164.74/165.04 => ? [B_xa] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_a2_2))
% 164.74/165.04 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_xa)),V_R_2)) ) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_mod__induct__0,axiom,
% 164.74/165.04 ! [V_i_2,V_Pa_2,V_p_2] :
% 164.74/165.04 ( ! [B_i] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_p_2))
% 164.74/165.04 => ( hBOOL(hAPP(V_Pa_2,B_i))
% 164.74/165.04 => hBOOL(hAPP(V_Pa_2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Nat_OSuc,B_i),V_p_2))) ) )
% 164.74/165.04 => ( hBOOL(hAPP(V_Pa_2,V_i_2))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_p_2))
% 164.74/165.04 => hBOOL(hAPP(V_Pa_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_InterI,axiom,
% 164.74/165.04 ! [V_A_2,V_C_2,T_b] :
% 164.74/165.04 ( ! [B_X] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X)) )
% 164.74/165.04 => 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))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_fold__image__cong,axiom,
% 164.74/165.04 ! [V_z_2,V_h_2,V_g_2,V_A_2,T_b,T_c] :
% 164.74/165.04 ( class_Groups_Oab__semigroup__mult(T_c)
% 164.74/165.04 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.04 => ( ! [B_x] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.04 => hAPP(V_g_2,B_x) = hAPP(V_h_2,B_x) )
% 164.74/165.04 => 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) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_trancl__subset__Sigma__aux,axiom,
% 164.74/165.04 ! [V_A_2,V_r_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 164.74/165.04 => ( V_aa_2 = V_b_2
% 164.74/165.04 | hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2)) ) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_r__into__rtrancl,axiom,
% 164.74/165.04 ! [V_r_2,V_p_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl_Ortrancl__refl,axiom,
% 164.74/165.04 ! [V_r_2,V_aa_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_aa_2),V_aa_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_refl__rtrancl,axiom,
% 164.74/165.04 ! [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)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl__Un__subset,axiom,
% 164.74/165.04 ! [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)))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Domain__rtrancl,axiom,
% 164.74/165.04 ! [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)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_in__rtrancl__UnI,axiom,
% 164.74/165.04 ! [V_S_2,V_R_2,V_x_2,T_b] :
% 164.74/165.04 ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 164.74/165.04 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_x_2),c_Transitive__Closure_Ortrancl(T_b,V_S_2))) )
% 164.74/165.04 => 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)))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl__Un__rtrancl,axiom,
% 164.74/165.04 ! [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)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl__mono,axiom,
% 164.74/165.04 ! [V_s_2,V_r_2,T_b] :
% 164.74/165.04 ( 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))
% 164.74/165.04 => 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))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl__subset,axiom,
% 164.74/165.04 ! [V_S_2,V_R_2,T_b] :
% 164.74/165.04 ( 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))
% 164.74/165.04 => ( 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)))
% 164.74/165.04 => c_Transitive__Closure_Ortrancl(T_b,V_S_2) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl__subset__rtrancl,axiom,
% 164.74/165.04 ! [V_s_2,V_r_2,T_b] :
% 164.74/165.04 ( 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)))
% 164.74/165.04 => 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))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl__idemp,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl__idemp__self__comp,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_r__comp__rtrancl__eq,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl__trans,axiom,
% 164.74/165.04 ! [V_ca_2,V_r_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 164.74/165.04 => ( 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_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl_Ortrancl__into__rtrancl,axiom,
% 164.74/165.04 ! [V_ca_2,V_r_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 164.74/165.04 => ( 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_ca_2)),V_r_2))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_converse__rtrancl__into__rtrancl,axiom,
% 164.74/165.04 ! [V_ca_2,V_r_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),V_r_2))
% 164.74/165.04 => ( 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_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Image__closed__trancl,axiom,
% 164.74/165.04 ! [V_X_2,V_r_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_b,V_r_2),V_X_2)),V_X_2))
% 164.74/165.04 => hAPP(c_Relation_OImage(T_b,T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)),V_X_2) = V_X_2 ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Range__rtrancl,axiom,
% 164.74/165.04 ! [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)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl__reflcl__absorb,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl__reflcl,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl__empty,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl__r__diff__Id,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl__unfold,axiom,
% 164.74/165.04 ! [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)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_Not__Domain__rtrancl,axiom,
% 164.74/165.04 ! [V_y_2,V_R_2,V_x_2,T_b] :
% 164.74/165.04 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_Relation_ODomain(T_b,T_b),V_R_2)))
% 164.74/165.04 => ( 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_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 164.74/165.04 <=> V_x_2 = V_y_2 ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_acc__downwards,axiom,
% 164.74/165.04 ! [V_b_2,V_r_2,V_aa_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 164.74/165.04 => ( 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_aa_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_acc__downwards__aux,axiom,
% 164.74/165.04 ! [V_r_2,V_aa_2,V_b_2,T_b] :
% 164.74/165.04 ( 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_aa_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 164.74/165.04 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),c_Wellfounded_Oacc(T_b,V_r_2))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_wf__insert,axiom,
% 164.74/165.04 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 164.74/165.04 ( 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))
% 164.74/165.04 <=> ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.74/165.04 & ~ 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_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_acyclic__insert,axiom,
% 164.74/165.04 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 164.74/165.04 ( 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))
% 164.74/165.04 <=> ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 164.74/165.04 & ~ 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_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl__Int__subset,axiom,
% 164.74/165.04 ! [V_r_2,V_s_2,T_b] :
% 164.74/165.04 ( 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))
% 164.74/165.04 => ( 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))
% 164.74/165.04 => 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)) ) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_pred__nat__trancl__eq__le,axiom,
% 164.74/165.04 ! [V_n_2,V_m_2] :
% 164.74/165.04 ( 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_m_2),V_n_2)),c_Transitive__Closure_Ortrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 164.74/165.04 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_trancl__insert,axiom,
% 164.74/165.04 ! [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)))))) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_sequence__trans,axiom,
% 164.74/165.04 ! [V_k_2,V_i_2,V_r_2,V_f_2,T_b] :
% 164.74/165.04 ( ! [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)))
% 164.74/165.04 => 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))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_trancl_Or__into__trancl,axiom,
% 164.74/165.04 ! [V_r_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),V_r_2))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_trancl__into__rtrancl,axiom,
% 164.74/165.04 ! [V_r_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.04 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 164.74/165.04 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_trancl__unfold__left,axiom,
% 164.74/165.04 ! [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)) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_trancl__unfold__right,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_rtrancl__trancl__absorb,axiom,
% 164.74/165.04 ! [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) ).
% 164.74/165.04
% 164.74/165.04 fof(fact_trancl__rtrancl__absorb,axiom,
% 164.74/165.05 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,c_Transitive__Closure_Otrancl(T_b,V_R_2)) = c_Transitive__Closure_Ortrancl(T_b,V_R_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_trancl__trans,axiom,
% 164.74/165.05 ! [V_ca_2,V_r_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Transitive__Closure_Otrancl__into__trancl,axiom,
% 164.74/165.05 ! [V_ca_2,V_r_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),V_r_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_trancl__into__trancl2,axiom,
% 164.74/165.05 ! [V_ca_2,V_r_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),V_r_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_r__r__into__trancl,axiom,
% 164.74/165.05 ! [V_ca_2,V_R_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),V_R_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),V_R_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_wf__trancl,axiom,
% 164.74/165.05 ! [V_r_2,T_b] :
% 164.74/165.05 ( c_Wellfounded_Owf(T_b,V_r_2)
% 164.74/165.05 => c_Wellfounded_Owf(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_finite__trancl,axiom,
% 164.74/165.05 ! [V_r_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 164.74/165.05 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_r__into__trancl_H,axiom,
% 164.74/165.05 ! [V_r_2,V_p_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),V_r_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_trancl__range,axiom,
% 164.74/165.05 ! [V_r_2,T_b] : hAPP(c_Relation_ORange(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ORange(T_b,T_b),V_r_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_trancl__domain,axiom,
% 164.74/165.05 ! [V_r_2,T_b] : hAPP(c_Relation_ODomain(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_trancl__empty,axiom,
% 164.74/165.05 ! [T_b] : c_Transitive__Closure_Otrancl(T_b,c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_trancl__mono,axiom,
% 164.74/165.05 ! [V_s_2,V_r_2,V_p_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_s_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_trancl__unfold,axiom,
% 164.74/165.05 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,V_r_2) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_r_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_trancl__subset__Sigma,axiom,
% 164.74/165.05 ! [V_A_2,V_r_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_less__than__def,axiom,
% 164.74/165.05 c_Wellfounded_Oless__than = c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtrancl__trancl__trancl,axiom,
% 164.74/165.05 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_trancl__rtrancl__trancl,axiom,
% 164.74/165.05 ! [V_ca_2,V_r_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtrancl__into__trancl1,axiom,
% 164.74/165.05 ! [V_ca_2,V_r_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),V_r_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtranclD,axiom,
% 164.74/165.05 ! [V_R_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 164.74/165.05 => ( V_aa_2 = V_b_2
% 164.74/165.05 | ( V_aa_2 != V_b_2
% 164.74/165.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtrancl__into__trancl2,axiom,
% 164.74/165.05 ! [V_ca_2,V_r_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),V_r_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_b_2),V_ca_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_ca_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtrancl__eq__or__trancl,axiom,
% 164.74/165.05 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 164.74/165.05 <=> ( V_x_2 = V_y_2
% 164.74/165.05 | ( V_x_2 != V_y_2
% 164.74/165.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_acyclic__def,axiom,
% 164.74/165.05 ! [V_r_2,T_b] :
% 164.74/165.05 ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 164.74/165.05 <=> ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_reflcl__trancl,axiom,
% 164.74/165.05 ! [V_r_2,T_b] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),c_Relation_OId(T_b)) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_trancl__reflcl,axiom,
% 164.74/165.05 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) = c_Transitive__Closure_Ortrancl(T_b,V_r_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_trancl__Int__subset,axiom,
% 164.74/165.05 ! [V_s_2,V_r_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)),V_r_2)),V_s_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),V_s_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_trancl__subset__Field2,axiom,
% 164.74/165.05 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Transitive__Closure_Otrancl(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),hAPP(c_Relation_OField(T_b),V_r_2)),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_Relation_OField(T_b),V_r_2))))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_less__eq,axiom,
% 164.74/165.05 ! [V_n_2,V_m_2] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_Product__Type_OPair(tc_Nat_Onat,tc_Nat_Onat),V_m_2),V_n_2)),c_Transitive__Closure_Otrancl(tc_Nat_Onat,c_Wellfounded_Opred__nat)))
% 164.74/165.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_irrefl__tranclI,axiom,
% 164.74/165.05 ! [V_x_2,V_r_2,T_b] :
% 164.74/165.05 ( hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Orderings_Obot__class_Obot(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool))
% 164.74/165.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtrancl__imp__UN__rel__pow,axiom,
% 164.74/165.05 ! [V_R_2,V_p_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtrancl__converse,axiom,
% 164.74/165.05 ! [V_r_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_trancl__converse,axiom,
% 164.74/165.05 ! [V_r_2,T_b] : c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_funpow__mult,axiom,
% 164.74/165.05 ! [V_f_2,V_m_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)) = hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_comp__funpow,axiom,
% 164.74/165.05 ! [V_f_2,V_n_2,T_c,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_fun(T_b,T_c),tc_fun(T_b,T_c)),V_n_2),c_Fun_Ocomp(T_c,T_c,T_b,V_f_2)) = c_Fun_Ocomp(T_c,T_c,T_b,hAPP(hAPP(c_Nat_Ocompow(T_c,T_c),V_n_2),V_f_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_total__on__converse,axiom,
% 164.74/165.05 ! [V_r_2,V_A_2,T_b] :
% 164.74/165.05 ( c_Relation_Ototal__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 164.74/165.05 <=> c_Relation_Ototal__on(T_b,V_A_2,V_r_2) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_converse__Un,axiom,
% 164.74/165.05 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_acyclic__converse,axiom,
% 164.74/165.05 ! [V_r_2,T_b] :
% 164.74/165.05 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 164.74/165.05 <=> c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_converse__Id__on,axiom,
% 164.74/165.05 ! [V_A_2,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId__on(T_b,V_A_2)) = c_Relation_OId__on(T_b,V_A_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Field__converse,axiom,
% 164.74/165.05 ! [V_r_2,T_b] : hAPP(c_Relation_OField(T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_OField(T_b),V_r_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_converse__Int,axiom,
% 164.74/165.05 ! [V_s_2,V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_s_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_converse__Id,axiom,
% 164.74/165.05 ! [T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),c_Relation_OId(T_b)) = c_Relation_OId(T_b) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_converse__rel__comp,axiom,
% 164.74/165.05 ! [V_s_2,V_r_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Relation_Orel__comp(T_c,T_d,T_b),V_r_2),V_s_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),hAPP(c_Relation_Oconverse(T_d,T_b),V_s_2)),hAPP(c_Relation_Oconverse(T_c,T_d),V_r_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_funpow__swap1,axiom,
% 164.74/165.05 ! [V_x_2,V_n_2,T_b,V_f_2] : hAPP(V_f_2,hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),V_x_2)) = hAPP(hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2),hAPP(V_f_2,V_x_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_converse__converse,axiom,
% 164.74/165.05 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = V_r_2 ).
% 164.74/165.05
% 164.74/165.05 fof(fact_refl__on__converse,axiom,
% 164.74/165.05 ! [V_r_2,V_A_2,T_b] :
% 164.74/165.05 ( c_Relation_Orefl__on(T_b,V_A_2,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 164.74/165.05 <=> c_Relation_Orefl__on(T_b,V_A_2,V_r_2) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rel__pow__commute,axiom,
% 164.74/165.05 ! [V_n_2,V_R_2,T_b] : hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_R_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_wf__exp,axiom,
% 164.74/165.05 ! [V_R_2,V_n_2,T_b] :
% 164.74/165.05 ( c_Wellfounded_Owf(T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))
% 164.74/165.05 => c_Wellfounded_Owf(T_b,V_R_2) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_finite__converse,axiom,
% 164.74/165.05 ! [V_r_2,T_c,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_c)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 164.74/165.05 <=> hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_c,T_b)),V_r_2)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_converse__inv__image,axiom,
% 164.74/165.05 ! [V_f_2,V_R_2,T_c,T_b] : hAPP(c_Relation_Oconverse(T_b,T_b),hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),V_R_2),V_f_2)) = hAPP(hAPP(c_Relation_Oinv__image(T_c,T_b),hAPP(c_Relation_Oconverse(T_c,T_c),V_R_2)),V_f_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_converse__UNION,axiom,
% 164.74/165.05 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rel__pow__1,axiom,
% 164.74/165.05 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_R_2) = V_R_2 ).
% 164.74/165.05
% 164.74/165.05 fof(fact_converseD,axiom,
% 164.74/165.05 ! [V_r_2,V_b_2,V_aa_2,T_c,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_aa_2)),V_r_2)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_converseI,axiom,
% 164.74/165.05 ! [V_r_2,V_b_2,V_aa_2,T_c,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_b_2)),V_r_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_aa_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_converse__iff,axiom,
% 164.74/165.05 ! [V_r_2,V_b_2,V_aa_2,T_c,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_aa_2),V_b_2)),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 164.74/165.05 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_b_2),V_aa_2)),V_r_2)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_wf__converse__trancl,axiom,
% 164.74/165.05 ! [V_r_2,T_b] :
% 164.74/165.05 ( c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 164.74/165.05 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rel__pow__imp__rtrancl,axiom,
% 164.74/165.05 ! [V_R_2,V_n_2,V_p_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtrancl__power,axiom,
% 164.74/165.05 ! [V_R_2,V_p_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 164.74/165.05 <=> ? [B_n] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_relpow_Osimps_I2_J,axiom,
% 164.74/165.05 ! [V_R_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)),V_R_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_equiv__comp__eq,axiom,
% 164.74/165.05 ! [V_r_2,V_A_2,T_b] :
% 164.74/165.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.74/165.05 => hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2 ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rel__pow__add,axiom,
% 164.74/165.05 ! [V_R_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_R_2) = hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_m_2),V_R_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Range__def,axiom,
% 164.74/165.05 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),V_r_2) = hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Domain__converse,axiom,
% 164.74/165.05 ! [V_r_2,T_c,T_b] : hAPP(c_Relation_ODomain(T_b,T_c),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)) = hAPP(c_Relation_ORange(T_c,T_b),V_r_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Range__converse,axiom,
% 164.74/165.05 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_ORange(T_c,T_b),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2)) = hAPP(c_Relation_ODomain(T_b,T_c),V_r_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_relpow_Osimps_I1_J,axiom,
% 164.74/165.05 ! [V_R_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2) = c_Relation_OId(T_b) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtrancl__converseI,axiom,
% 164.74/165.05 ! [V_r_2,V_x_2,V_y_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtrancl__converseD,axiom,
% 164.74/165.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_x_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_trancl__converseI,axiom,
% 164.74/165.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_trancl__converseD,axiom,
% 164.74/165.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_b),c_Transitive__Closure_Otrancl(T_b,V_r_2)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rel__pow__0__I,axiom,
% 164.74/165.05 ! [V_R_2,V_x_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_x_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rel__pow__0__E,axiom,
% 164.74/165.05 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_R_2)))
% 164.74/165.05 => V_x_2 = V_y_2 ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rel__pow__Suc__I,axiom,
% 164.74/165.05 ! [V_z_2,V_R_2,V_n_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 164.74/165.05 => ( 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))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rel__pow__Suc__I2,axiom,
% 164.74/165.05 ! [V_n_2,V_z_2,V_R_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( 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))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_funpow_Osimps_I2_J,axiom,
% 164.74/165.05 ! [V_f_2,V_n_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(c_Nat_OSuc,V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,V_f_2),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Image__subset__eq,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,V_r_2,T_c,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_r_2),V_A_2)),V_B_2))
% 164.74/165.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_A_2),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)),hAPP(c_Groups_Ouminus__class_Ouminus(tc_fun(T_b,tc_HOL_Obool)),V_B_2))))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_funpow__add,axiom,
% 164.74/165.05 ! [V_f_2,V_n_2,V_m_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)),V_f_2) = hAPP(c_Fun_Ocomp(T_b,T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_m_2),V_f_2)),hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),V_n_2),V_f_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_funpow_Osimps_I1_J,axiom,
% 164.74/165.05 ! [V_f_2,T_b] : hAPP(hAPP(c_Nat_Ocompow(T_b,T_b),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_f_2) = c_Fun_Oid(T_b) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_refl__on__comp__subset,axiom,
% 164.74/165.05 ! [V_r_2,V_A_2,T_b] :
% 164.74/165.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_comp__equivI,axiom,
% 164.74/165.05 ! [V_A_2,V_r_2,T_b] :
% 164.74/165.05 ( hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)),V_r_2) = V_r_2
% 164.74/165.05 => ( hAPP(c_Relation_ODomain(T_b,T_b),V_r_2) = V_A_2
% 164.74/165.05 => c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_finite__acyclic__wf__converse,axiom,
% 164.74/165.05 ! [V_r_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_prod(T_b,T_b)),V_r_2))
% 164.74/165.05 => ( c_Wellfounded_Oacyclic(T_b,V_r_2)
% 164.74/165.05 => c_Wellfounded_Owf(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_trancl__power,axiom,
% 164.74/165.05 ! [V_R_2,V_p_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 164.74/165.05 <=> ? [B_n] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),B_n))
% 164.74/165.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_n),V_R_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_converse__def,axiom,
% 164.74/165.05 ! [V_r_2,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_c,T_b)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_c,T_b),tc_fun(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_c,T_b)))),hAPP(c_COMBC(T_c,T_b,tc_prod(T_c,T_b)),c_Product__Type_OPair(T_c,T_b))))),V_r_2))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtrancl__is__UN__rel__pow,axiom,
% 164.74/165.05 ! [V_R_2,T_b] : c_Transitive__Closure_Ortrancl(T_b,V_R_2) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool)),V_R_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_funpow__code__def,axiom,
% 164.74/165.05 ! [T_b] : c_Nat_Ofunpow(T_b) = c_Nat_Ocompow(T_b,T_b) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rel__pow__E,axiom,
% 164.74/165.05 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 164.74/165.05 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.05 => V_x_2 != V_z_2 )
% 164.74/165.05 => ~ ! [B_y,B_m] :
% 164.74/165.05 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2)))
% 164.74/165.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rel__pow__E2,axiom,
% 164.74/165.05 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 164.74/165.05 => ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.05 => V_x_2 != V_z_2 )
% 164.74/165.05 => ~ ! [B_y,B_m] :
% 164.74/165.05 ( V_n_2 = hAPP(c_Nat_OSuc,B_m)
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 164.74/165.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),B_m),V_R_2))) ) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_acyclicI,axiom,
% 164.74/165.05 ! [V_r_2,T_b] :
% 164.74/165.05 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),c_Transitive__Closure_Otrancl(T_b,V_r_2)))
% 164.74/165.05 => c_Wellfounded_Oacyclic(T_b,V_r_2) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Image__Int__eq,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,V_R_2,T_c,T_b] :
% 164.74/165.05 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_R_2))
% 164.74/165.05 => hAPP(c_Relation_OImage(T_c,T_b,V_R_2),hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_A_2)),hAPP(c_Relation_OImage(T_c,T_b,V_R_2),V_B_2)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtrancl__Un__separatorE,axiom,
% 164.74/165.05 ! [V_Qa_2,V_Pa_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_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_Pa_2),V_Qa_2))))
% 164.74/165.05 => ( ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),B_x)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2)))
% 164.74/165.05 => ! [B_y] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_Qa_2))
% 164.74/165.05 => B_x = B_y ) )
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_single__valued__Id,axiom,
% 164.74/165.05 ! [T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId(T_b)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_single__valued__rel__comp,axiom,
% 164.74/165.05 ! [V_s_2,T_d,V_r_2,T_c,T_b] :
% 164.74/165.05 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 164.74/165.05 => ( c_Relation_Osingle__valued(T_c,T_d,V_s_2)
% 164.74/165.05 => c_Relation_Osingle__valued(T_b,T_d,hAPP(hAPP(c_Relation_Orel__comp(T_b,T_c,T_d),V_r_2),V_s_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_single__valued__subset,axiom,
% 164.74/165.05 ! [V_s_2,V_r_2,T_c,T_b] :
% 164.74/165.05 ( 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))
% 164.74/165.05 => ( c_Relation_Osingle__valued(T_b,T_c,V_s_2)
% 164.74/165.05 => c_Relation_Osingle__valued(T_b,T_c,V_r_2) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_single__valued__Id__on,axiom,
% 164.74/165.05 ! [V_A_2,T_b] : c_Relation_Osingle__valued(T_b,T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_single__valued__rel__pow,axiom,
% 164.74/165.05 ! [V_n_2,V_R_2,T_b] :
% 164.74/165.05 ( c_Relation_Osingle__valued(T_b,T_b,V_R_2)
% 164.74/165.05 => c_Relation_Osingle__valued(T_b,T_b,hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_single__valuedD,axiom,
% 164.74/165.05 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 164.74/165.05 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),V_r_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_z_2)),V_r_2))
% 164.74/165.05 => V_y_2 = V_z_2 ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_single__valued__def,axiom,
% 164.74/165.05 ! [V_r_2,T_c,T_b] :
% 164.74/165.05 ( c_Relation_Osingle__valued(T_b,T_c,V_r_2)
% 164.74/165.05 <=> ! [B_x,B_y] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_y)),V_r_2))
% 164.74/165.05 => ! [B_z] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)),V_r_2))
% 164.74/165.05 => B_y = B_z ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_single__valued__confluent,axiom,
% 164.74/165.05 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 164.74/165.05 ( c_Relation_Osingle__valued(T_b,T_b,V_r_2)
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),V_z_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 164.74/165.05 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_z_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2))) ) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtrancl__Un__separator__converseE,axiom,
% 164.74/165.05 ! [V_Qa_2,V_Pa_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_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_Pa_2),V_Qa_2))))
% 164.74/165.05 => ( ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2)))
% 164.74/165.05 => ! [B_y] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_x)),V_Qa_2))
% 164.74/165.05 => B_y = B_x ) )
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),c_Transitive__Closure_Ortrancl(T_b,V_Pa_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rel__pow__Suc__D2,axiom,
% 164.74/165.05 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 164.74/165.05 => ? [B_y] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 164.74/165.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rel__pow__Suc__E,axiom,
% 164.74/165.05 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 164.74/165.05 => ~ ! [B_y] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2)))
% 164.74/165.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),V_R_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rel__pow__Suc__E2,axiom,
% 164.74/165.05 ! [V_R_2,V_n_2,V_z_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),hAPP(c_Nat_OSuc,V_n_2)),V_R_2)))
% 164.74/165.05 => ~ ! [B_y] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_y)),V_R_2))
% 164.74/165.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),V_z_2)),hAPP(hAPP(c_Nat_Ocompow(tc_prod(T_b,T_b),tc_HOL_Obool),V_n_2),V_R_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_tranclD2,axiom,
% 164.74/165.05 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 164.74/165.05 => ? [B_z] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),c_Transitive__Closure_Ortrancl(T_b,V_R_2)))
% 164.74/165.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),V_R_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_tranclD,axiom,
% 164.74/165.05 ! [V_R_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Otrancl(T_b,V_R_2)))
% 164.74/165.05 => ? [B_z] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),B_z)),V_R_2))
% 164.74/165.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_z),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_R_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Min__eqI,axiom,
% 164.74/165.05 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Orderings_Olinorder(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( ! [B_y] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_y)) )
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.05 => c_Big__Operators_Olinorder__class_OMin(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Max__eqI,axiom,
% 164.74/165.05 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Orderings_Olinorder(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( ! [B_y] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_y),V_x_2)) )
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.05 => c_Big__Operators_Olinorder__class_OMax(T_b,V_A_2) = V_x_2 ) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_setsum__reindex__cong,axiom,
% 164.74/165.05 ! [V_h_2,V_g_2,V_B_2,V_A_2,V_f_2,T_c,T_b,T_d] :
% 164.74/165.05 ( class_Groups_Ocomm__monoid__add(T_d)
% 164.74/165.05 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_A_2)
% 164.74/165.05 => ( V_B_2 = hAPP(c_Set_Oimage(T_b,T_c,V_f_2),V_A_2)
% 164.74/165.05 => ( ! [B_a] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 164.74/165.05 => hAPP(V_g_2,B_a) = hAPP(V_h_2,hAPP(V_f_2,B_a)) )
% 164.74/165.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_c,T_d),V_h_2),V_B_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_d),V_g_2),V_A_2) ) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_scomp__unfold,axiom,
% 164.74/165.05 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(V_g_2,hAPP(c_Product__Type_Ofst(T_d,T_e),hAPP(V_f_2,V_x_2))),hAPP(c_Product__Type_Osnd(T_d,T_e),hAPP(V_f_2,V_x_2))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_scomp__apply,axiom,
% 164.74/165.05 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_scomp__scomp,axiom,
% 164.74/165.05 ! [V_h_2,V_g_2,V_f_2,T_g,T_f,T_c,T_e,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_e,T_c),hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,tc_prod(T_d,T_e)),V_f_2),V_g_2)),V_h_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_f,T_g,T_c),V_f_2),hAPP(hAPP(c_COMBC(T_f,tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_g,tc_prod(T_d,T_e)),tc_fun(tc_fun(T_d,tc_fun(T_e,T_c)),tc_fun(T_g,T_c)),T_f),c_Product__Type_Oscomp(T_g,T_d,T_e,T_c)),V_g_2)),V_h_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_scomp__Pair,axiom,
% 164.74/165.05 ! [V_x_2,T_d,T_c,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_d,tc_prod(T_c,T_d)),V_x_2),c_Product__Type_OPair(T_c,T_d)) = V_x_2 ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Pair__scomp,axiom,
% 164.74/165.05 ! [V_f_2,V_x_2,T_c,T_d,T_b] : hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_d,T_b,T_c),hAPP(c_Product__Type_OPair(T_d,T_b),V_x_2)),V_f_2) = hAPP(V_f_2,V_x_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_scomp__def,axiom,
% 164.74/165.05 ! [V_x_2,V_g_2,V_f_2,T_b,T_e,T_d,T_c] : hAPP(hAPP(hAPP(c_Product__Type_Oscomp(T_c,T_d,T_e,T_b),V_f_2),V_g_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,T_b),V_g_2),hAPP(V_f_2,V_x_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_iterate_Osimps,axiom,
% 164.74/165.05 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 164.74/165.05 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 164.74/165.05 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2) )
% 164.74/165.05 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 164.74/165.05 => hAPP(c_Random_Oiterate(T_c,T_b,V_k_2,V_f_2),V_x_2) = hAPP(hAPP(c_Product__Type_Oscomp(T_b,T_c,T_b,tc_prod(T_c,T_b)),hAPP(V_f_2,V_x_2)),c_Random_Oiterate(T_c,T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_f_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_IdE,axiom,
% 164.74/165.05 ! [V_p_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),V_p_2),c_Relation_OId(T_b)))
% 164.74/165.05 => ~ ! [B_x] : V_p_2 != hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_log_Osimps,axiom,
% 164.74/165.05 ! [V_i,V_b] :
% 164.74/165.05 ( ( ( 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)))
% 164.74/165.05 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 164.74/165.05 => c_Random_Olog(V_b,V_i) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 164.74/165.05 & ( ~ ( 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)))
% 164.74/165.05 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),V_b)) )
% 164.74/165.05 => 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))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_minus__shift__def,axiom,
% 164.74/165.05 ! [V_r,V_l,V_k] :
% 164.74/165.05 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 164.74/165.05 => 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) )
% 164.74/165.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_k),V_l))
% 164.74/165.05 => 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) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_inc__shift__def,axiom,
% 164.74/165.05 ! [V_k,V_v] :
% 164.74/165.05 ( ( V_v = V_k
% 164.74/165.05 => c_Random_Oinc__shift(V_v,V_k) = c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) )
% 164.74/165.05 & ( V_v != V_k
% 164.74/165.05 => 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)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_range,axiom,
% 164.74/165.05 ! [V_s,V_k] :
% 164.74/165.05 ( 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))
% 164.74/165.05 => 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)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_setsum__ivl__cong,axiom,
% 164.74/165.05 ! [V_g_2,V_f_2,V_d_2,V_b_2,V_ca_2,V_aa_2,T_b,T_c] :
% 164.74/165.05 ( ( class_Groups_Ocomm__monoid__add(T_c)
% 164.74/165.05 & class_Orderings_Oord(T_b) )
% 164.74/165.05 => ( V_aa_2 = V_ca_2
% 164.74/165.05 => ( V_b_2 = V_d_2
% 164.74/165.05 => ( ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_ca_2),B_x))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),B_x),V_d_2))
% 164.74/165.05 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) )
% 164.74/165.05 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(T_b,V_aa_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_ca_2),V_d_2)) ) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_nat__intermed__int__val,axiom,
% 164.74/165.05 ! [V_k_2,V_f_2,V_n_2,V_m_2] :
% 164.74/165.05 ( ! [B_i] :
% 164.74/165.05 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 164.74/165.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2)) )
% 164.74/165.05 => 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))) )
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_m_2),V_n_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(V_f_2,V_m_2)),V_k_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_k_2),hAPP(V_f_2,V_n_2)))
% 164.74/165.05 => ? [B_i] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),B_i))
% 164.74/165.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),V_n_2))
% 164.74/165.05 & hAPP(V_f_2,B_i) = V_k_2 ) ) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_mod__div__decomp,axiom,
% 164.74/165.05 ! [V_b,V_a,T_a] :
% 164.74/165.05 ( class_Divides_Osemiring__div(T_a)
% 164.74/165.05 => 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)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_min__max_OSup__fin_Oeq__fold_H,axiom,
% 164.74/165.05 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Orderings_Olinorder(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.05 => 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) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fold__image__def,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fold__empty,axiom,
% 164.74/165.05 ! [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 ).
% 164.74/165.05
% 164.74/165.05 fof(fact_folding_Oeq__fold,axiom,
% 164.74/165.05 ! [V_s_2,V_A_2,V_F_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofolding(T_b,T_c,V_f_2,V_F_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => hAPP(hAPP(V_F_2,V_A_2),V_s_2) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_s_2),V_A_2) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fold__def,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_union__fold__insert,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fold__sup__insert,axiom,
% 164.74/165.05 ! [V_aa_2,V_b_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Lattices_Osemilattice__sup(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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_aa_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_aa_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)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fold__inf__insert,axiom,
% 164.74/165.05 ! [V_aa_2,V_b_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Lattices_Osemilattice__inf(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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_aa_2),V_A_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_aa_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)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_min__max_Ofold__inf__insert,axiom,
% 164.74/165.05 ! [V_aa_2,V_b_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Orderings_Olinorder(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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_aa_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_aa_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_min__max_Ofold__sup__insert,axiom,
% 164.74/165.05 ! [V_aa_2,V_b_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Orderings_Olinorder(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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_aa_2),V_A_2)) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_aa_2),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_b_2),V_A_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_sup__Sup__fold__sup,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_inf__Inf__fold__inf,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fun__left__comm__idem_Ofold__insert__idem,axiom,
% 164.74/165.05 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fun__left__comm__idem_Ofold__insert__idem2,axiom,
% 164.74/165.05 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_sup__SUPR__fold__sup,axiom,
% 164.74/165.05 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 164.74/165.05 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_folding__one__idem_Oeq__fold__idem_H,axiom,
% 164.74/165.05 ! [V_aa_2,V_A_2,V_F_2,V_f_2,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofolding__one__idem(T_b,V_f_2,V_F_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => hAPP(V_F_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,V_f_2),V_aa_2),V_A_2) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_sup__le__fold__sup,axiom,
% 164.74/165.05 ! [V_b_2,V_aa_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Lattices_Osemilattice__sup(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_aa_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))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fold__inf__le__inf,axiom,
% 164.74/165.05 ! [V_b_2,V_aa_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Lattices_Osemilattice__inf(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.74/165.05 => 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_aa_2),V_b_2))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_min__max_Ofold__inf__le__inf,axiom,
% 164.74/165.05 ! [V_b_2,V_aa_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Orderings_Olinorder(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_b_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_aa_2),V_b_2))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_min__max_Osup__le__fold__sup,axiom,
% 164.74/165.05 ! [V_b_2,V_aa_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Orderings_Olinorder(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_aa_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))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Sup__fold__sup,axiom,
% 164.74/165.05 ! [V_A_2,T_b] :
% 164.74/165.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Inf__fold__inf,axiom,
% 164.74/165.05 ! [V_A_2,T_b] :
% 164.74/165.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fold1__eq__fold__idem,axiom,
% 164.74/165.05 ! [V_aa_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_aa_2),V_A_2) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Sup__fin_Oeq__fold__idem_H,axiom,
% 164.74/165.05 ! [V_aa_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Lattices_Olattice(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_aa_2),V_A_2) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Inf__fin_Oeq__fold__idem_H,axiom,
% 164.74/165.05 ! [V_aa_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Lattices_Olattice(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_aa_2),V_A_2) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Min_Oeq__fold__idem_H,axiom,
% 164.74/165.05 ! [V_aa_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Orderings_Olinorder(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_aa_2),V_A_2) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Max_Oeq__fold__idem_H,axiom,
% 164.74/165.05 ! [V_aa_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Orderings_Olinorder(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_aa_2),V_A_2) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_min__max_OInf__fin_Oeq__fold__idem_H,axiom,
% 164.74/165.05 ! [V_aa_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Orderings_Olinorder(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_aa_2),V_A_2) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_min__max_OSup__fin_Oeq__fold__idem_H,axiom,
% 164.74/165.05 ! [V_aa_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Orderings_Olinorder(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_aa_2),V_A_2) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_minus__fold__remove,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_folding__one_Oeq__fold_H,axiom,
% 164.74/165.05 ! [V_x_2,V_A_2,V_F_2,V_f_2,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofolding__one(T_b,V_f_2,V_F_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.05 => 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) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_SUPR__fold__sup,axiom,
% 164.74/165.05 ! [V_f_2,V_A_2,T_b,T_c] :
% 164.74/165.05 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fold1__eq__fold,axiom,
% 164.74/165.05 ! [V_aa_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Groups_Oab__semigroup__mult(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.74/165.05 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_2),V_A_2)) = hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)),V_aa_2),V_A_2) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Sup__fin_Oeq__fold_H,axiom,
% 164.74/165.05 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Lattices_Olattice(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.05 => 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) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Inf__fin_Oeq__fold_H,axiom,
% 164.74/165.05 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Lattices_Olattice(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.05 => 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) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Min_Oeq__fold_H,axiom,
% 164.74/165.05 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Orderings_Olinorder(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.05 => 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) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Max_Oeq__fold_H,axiom,
% 164.74/165.05 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Orderings_Olinorder(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.05 => 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) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_min__max_OInf__fin_Oeq__fold_H,axiom,
% 164.74/165.05 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Orderings_Olinorder(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.05 => 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) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fun__left__comm_Ofold__rec,axiom,
% 164.74/165.05 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.05 => 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)))))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fun__left__comm_Ofold__insert__remove,axiom,
% 164.74/165.05 ! [V_x_2,V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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)))))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fun__left__comm_Ofold__graph__determ,axiom,
% 164.74/165.05 ! [V_y_2,V_x_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_x_2))
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 164.74/165.05 => V_y_2 = V_x_2 ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fun__left__comm_Ofun__comp__comm,axiom,
% 164.74/165.05 ! [V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 164.74/165.05 => hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)) = hAPP(c_Fun_Ocomp(T_c,T_c,T_c,hAPP(V_f_2,V_y_2)),hAPP(V_f_2,V_x_2)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fun__left__comm_Ofun__left__comm,axiom,
% 164.74/165.05 ! [V_z_2,V_y_2,V_x_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 164.74/165.05 => 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)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fun__left__comm_Ofun__left__comm__apply,axiom,
% 164.74/165.05 ! [V_g_2,T_d,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 164.74/165.05 => 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)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fun__left__comm,axiom,
% 164.74/165.05 ! [T_b] :
% 164.74/165.05 ( class_Groups_Oab__semigroup__mult(T_b)
% 164.74/165.05 => c_Finite__Set_Ofun__left__comm(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fun__left__comm_Ofold__fun__comm,axiom,
% 164.74/165.05 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fun__left__comm_Ofold__equality,axiom,
% 164.74/165.05 ! [V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 164.74/165.05 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_z_2),V_A_2) = V_y_2 ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fun__left__comm_Ofold__graph__fold,axiom,
% 164.74/165.05 ! [V_z_2,V_A_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fun__left__comm_Ofold__insert,axiom,
% 164.74/165.05 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.05 => 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)) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fun__left__comm_Ofold__insert2,axiom,
% 164.74/165.05 ! [V_z_2,V_x_2,V_A_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.05 => 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) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fun__left__comm_Ofold__graph__insertE__aux,axiom,
% 164.74/165.05 ! [V_aa_2,V_y_2,V_A_2,V_z_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),V_y_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.74/165.05 => ? [B_y_H] :
% 164.74/165.05 ( V_y_2 = hAPP(hAPP(V_f_2,V_aa_2),B_y_H)
% 164.74/165.05 & 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_aa_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))),B_y_H)) ) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INFI__fold__inf,axiom,
% 164.74/165.05 ! [V_f_2,V_A_2,T_b,T_c] :
% 164.74/165.05 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INF2__E,axiom,
% 164.74/165.05 ! [V_aa_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 164.74/165.05 ( 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_ca_2))
% 164.74/165.05 => ( ~ hBOOL(hAPP(hAPP(hAPP(V_B_2,V_aa_2),V_b_2),V_ca_2))
% 164.74/165.05 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INF2__D,axiom,
% 164.74/165.05 ! [V_aa_2,V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 164.74/165.05 ( 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_ca_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(hAPP(V_B_2,V_aa_2),V_b_2),V_ca_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INF1__E,axiom,
% 164.74/165.05 ! [V_aa_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 164.74/165.05 ( 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))
% 164.74/165.05 => ( ~ hBOOL(hAPP(hAPP(V_B_2,V_aa_2),V_b_2))
% 164.74/165.05 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INF1__D,axiom,
% 164.74/165.05 ! [V_aa_2,V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 164.74/165.05 ( 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))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(V_B_2,V_aa_2),V_b_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__E,axiom,
% 164.74/165.05 ! [V_aa_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 164.74/165.05 ( 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)))
% 164.74/165.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_aa_2)))
% 164.74/165.05 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_aa_2),V_A_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__D,axiom,
% 164.74/165.05 ! [V_aa_2,V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 164.74/165.05 ( 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)))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_aa_2),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,V_aa_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_finite__INT,axiom,
% 164.74/165.05 ! [V_A_2,T_c,V_I_2,T_b] :
% 164.74/165.05 ( ? [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_I_2))
% 164.74/165.05 & hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(V_A_2,B_x))) )
% 164.74/165.05 => 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))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Image__INT__subset,axiom,
% 164.74/165.05 ! [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)))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__lower,axiom,
% 164.74/165.05 ! [V_B_2,T_c,V_A_2,V_aa_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),V_A_2))
% 164.74/165.05 => 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_aa_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__subset__iff,axiom,
% 164.74/165.05 ! [V_A_2,V_I_2,T_c,V_B_2,T_b] :
% 164.74/165.05 ( 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)))
% 164.74/165.05 <=> ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_I_2))
% 164.74/165.05 => 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))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INF__less__iff,axiom,
% 164.74/165.05 ! [V_aa_2,V_f_2,V_A_2,T_c,T_b] :
% 164.74/165.05 ( ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.74/165.05 & class_Orderings_Olinorder(T_b) )
% 164.74/165.05 => ( 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_aa_2))
% 164.74/165.05 <=> ? [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 164.74/165.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_b),hAPP(V_f_2,B_x)),V_aa_2)) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_le__INF__iff,axiom,
% 164.74/165.05 ! [V_M_2,V_A_2,T_c,V_u_2,T_b] :
% 164.74/165.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.74/165.05 => ( 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)))
% 164.74/165.05 <=> ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_u_2),hAPP(V_M_2,B_x))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_converse__INTER,axiom,
% 164.74/165.05 ! [V_r_2,V_S_2,T_d,T_b,T_c] : hAPP(c_Relation_Oconverse(T_c,T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool)),V_S_2),V_r_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool)),V_S_2),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_c,T_b),tc_HOL_Obool),tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),T_d),c_Relation_Oconverse(T_c,T_b)),V_r_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__simps_I9_J,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__extend__simps_I9_J,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_UN__simps_I7_J,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_UN__extend__simps_I7_J,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Compl__INT,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Compl__UN,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__insert,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,V_aa_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_aa_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_aa_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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__extend__simps_I2_J,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 164.74/165.05 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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 )
% 164.74/165.05 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__extend__simps_I1_J,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 164.74/165.05 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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 )
% 164.74/165.05 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INF__INT__eq2,axiom,
% 164.74/165.05 ! [V_y_2,V_x_2,V_r_2,T_d,T_c,T_b] :
% 164.74/165.05 ( 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))
% 164.74/165.05 <=> 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))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INFI__bool__eq,axiom,
% 164.74/165.05 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_HOL_Obool) = c_Set_OBall(T_b) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Inter__def,axiom,
% 164.74/165.05 ! [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))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__simps_I10_J,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__extend__simps_I10_J,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__iff,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_c,V_b_2,T_b] :
% 164.74/165.05 ( 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)))
% 164.74/165.05 <=> ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_b_2),hAPP(V_B_2,B_x))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INFI__apply,axiom,
% 164.74/165.05 ! [V_x_2,V_f_2,V_A_2,T_d,T_c,T_b] :
% 164.74/165.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.74/165.05 => 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)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Pow__INT__eq,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__extend__simps_I8_J,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__simps_I8_J,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INF__commute,axiom,
% 164.74/165.05 ! [V_f_2,V_B_2,T_d,V_A_2,T_c,T_b] :
% 164.74/165.05 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.74/165.05 => 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))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__Int__distrib,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Un__INT__distrib2,axiom,
% 164.74/165.05 ! [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))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__extend__simps_I6_J,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Un__INT__distrib,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__extend__simps_I7_J,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__simps_I6_J,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__simps_I7_J,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_vimage__INT,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INTER__UNIV__conv_I2_J,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_b,T_c] :
% 164.74/165.05 ( 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))
% 164.74/165.05 <=> ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 164.74/165.05 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INTER__UNIV__conv_I1_J,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_c,T_b] :
% 164.74/165.05 ( 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)
% 164.74/165.05 <=> ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),V_A_2))
% 164.74/165.05 => hAPP(V_B_2,B_x) = c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__constant,axiom,
% 164.74/165.05 ! [V_ca_2,T_c,T_b,V_A_2] :
% 164.74/165.05 ( ( V_A_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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_ca_2)) = c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)) )
% 164.74/165.05 & ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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_ca_2)) = V_ca_2 ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__empty,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INF__const,axiom,
% 164.74/165.05 ! [V_M_2,T_b,V_A_2,T_c] :
% 164.74/165.05 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 164.74/165.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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 ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__absorb,axiom,
% 164.74/165.05 ! [V_A_2,T_c,V_I_2,V_k_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_k_2),V_I_2))
% 164.74/165.05 => 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) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INF__INT__eq,axiom,
% 164.74/165.05 ! [V_x_2,V_r_2,T_c,T_b] :
% 164.74/165.05 ( 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))
% 164.74/165.05 <=> 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))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__insert__distrib,axiom,
% 164.74/165.05 ! [V_B_2,V_aa_2,T_c,V_A_2,V_u_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_u_2),V_A_2))
% 164.74/165.05 => 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_aa_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_c),V_aa_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)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__extend__simps_I5_J,axiom,
% 164.74/165.05 ! [V_B_2,V_C_2,T_c,V_aa_2,T_b] : hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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_aa_2)),V_B_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__simps_I5_J,axiom,
% 164.74/165.05 ! [V_B_2,V_aa_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_aa_2)),V_B_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_aa_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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Collect__ball__eq,axiom,
% 164.74/165.05 ! [V_Pa_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_Pa_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_Pa_2))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__Un,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Un__Inter,axiom,
% 164.74/165.05 ! [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),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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INTER__eq__Inter__image,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = 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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Inter__image__eq,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INF__subset,axiom,
% 164.74/165.05 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 164.74/165.05 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.74/165.05 => 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))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INTER__def,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OAll(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),T_b),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fimplies),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_member(T_b))),V_B_2)))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__simps_I1_J,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 164.74/165.05 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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)) )
% 164.74/165.05 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__simps_I2_J,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 164.74/165.05 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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)) )
% 164.74/165.05 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Collect__all__eq,axiom,
% 164.74/165.05 ! [V_Pa_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)),V_Pa_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool))),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_Pa_2))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__simps_I3_J,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 164.74/165.05 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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)) )
% 164.74/165.05 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__extend__simps_I3_J,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 164.74/165.05 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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) )
% 164.74/165.05 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__extend__simps_I4_J,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 164.74/165.05 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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 )
% 164.74/165.05 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_bij__image__INT,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_d,V_f_2,T_c,T_b] :
% 164.74/165.05 ( 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)))
% 164.74/165.05 => 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)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INF__leI,axiom,
% 164.74/165.05 ! [V_M_2,V_A_2,V_i_2,T_b,T_c] :
% 164.74/165.05 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_i_2),V_A_2))
% 164.74/165.05 => 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))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Int__Inter__image,axiom,
% 164.74/165.05 ! [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))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__greaterThan__UNIV,axiom,
% 164.74/165.05 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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INT__simps_I4_J,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_c,T_b,V_C_2] :
% 164.74/165.05 ( ( V_C_2 = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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)) )
% 164.74/165.05 & ( V_C_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => 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)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Image__INT__eq,axiom,
% 164.74/165.05 ! [V_B_2,T_d,V_A_2,V_r_2,T_c,T_b] :
% 164.74/165.05 ( c_Relation_Osingle__valued(T_b,T_c,hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2))
% 164.74/165.05 => ( V_A_2 != c_Orderings_Obot__class_Obot(tc_fun(T_d,tc_HOL_Obool))
% 164.74/165.05 => hAPP(c_Relation_OImage(T_c,T_b,V_r_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_c,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_d,tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_d),c_Relation_OImage(T_c,T_b,V_r_2)),V_B_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_inf__INFI__fold__inf,axiom,
% 164.74/165.05 ! [V_f_2,V_B_2,V_A_2,T_b,T_c] :
% 164.74/165.05 ( class_Complete__Lattice_Ocomplete__lattice(T_c)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => 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) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fun__left__comm_Ofold__graph__insertE,axiom,
% 164.74/165.05 ! [V_v_2,V_A_2,V_x_2,V_z_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 164.74/165.05 => ( 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))
% 164.74/165.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.05 => ~ ! [B_y] :
% 164.74/165.05 ( V_v_2 = hAPP(hAPP(V_f_2,V_x_2),B_y)
% 164.74/165.05 => ~ hBOOL(hAPP(c_Finite__Set_Ofold__graph(T_b,T_c,V_f_2,V_z_2,V_A_2),B_y)) ) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_image__INT,axiom,
% 164.74/165.05 ! [V_j_2,V_B_2,V_A_2,T_d,V_C_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,V_C_2)
% 164.74/165.05 => ( ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_d),B_x),V_A_2))
% 164.74/165.05 => 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)) )
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(T_d),V_j_2),V_A_2))
% 164.74/165.05 => 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)) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INF1__iff,axiom,
% 164.74/165.05 ! [V_b_2,V_B_2,V_A_2,T_c,T_b] :
% 164.74/165.05 ( 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))
% 164.74/165.05 <=> ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(V_B_2,B_x),V_b_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_INF2__iff,axiom,
% 164.74/165.05 ! [V_ca_2,V_b_2,V_B_2,V_A_2,T_d,T_c,T_b] :
% 164.74/165.05 ( 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_ca_2))
% 164.74/165.05 <=> ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_inj__on__INTER,axiom,
% 164.74/165.05 ! [V_A_2,V_f_2,T_d,T_c,T_b,V_I_2] :
% 164.74/165.05 ( V_I_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 => ( ! [B_i] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_i),V_I_2))
% 164.74/165.05 => c_Fun_Oinj__on(T_c,T_d,V_f_2,hAPP(V_A_2,B_i)) )
% 164.74/165.05 => 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)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_min__max_Ofold__sup__le__sup,axiom,
% 164.74/165.05 ! [V_ca_2,V_b_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Orderings_Olinorder(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omax(T_b)),V_ca_2),V_A_2)),hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),V_b_2),V_ca_2))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_min__max_Oinf__le__fold__inf,axiom,
% 164.74/165.05 ! [V_ca_2,V_b_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Orderings_Olinorder(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(T_b),V_b_2),V_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Orderings_Oord__class_Omin(T_b)),V_ca_2),V_A_2))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_inf__le__fold__inf,axiom,
% 164.74/165.05 ! [V_ca_2,V_b_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Lattices_Osemilattice__inf(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_b_2),B_x)) )
% 164.74/165.05 => 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_ca_2)),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_ca_2),V_A_2))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_fold__sup__le__sup,axiom,
% 164.74/165.05 ! [V_ca_2,V_b_2,V_A_2,T_b] :
% 164.74/165.05 ( class_Lattices_Osemilattice__sup(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => ( ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),V_b_2)) )
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_ca_2),V_A_2)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(T_b),V_b_2),V_ca_2))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_folding__image__simple__idem_Ounion__idem,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_B_2))
% 164.74/165.05 => 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)) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_folding__image__simple__idem_Oidem,axiom,
% 164.74/165.05 ! [V_x_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 164.74/165.05 => hAPP(hAPP(V_f_2,V_x_2),V_x_2) = V_x_2 ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_folding__image__simple__idem_Oin__idem,axiom,
% 164.74/165.05 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(T_c),V_x_2),V_A_2))
% 164.74/165.05 => 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) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_folding__image__simple__idem_Oinsert__idem,axiom,
% 164.74/165.05 ! [V_x_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.74/165.05 => 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)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_folding__image__simple__idem_Osubset__idem,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,V_F_2,V_g_2,V_z_2,V_f_2,T_c,T_b] :
% 164.74/165.05 ( c_Finite__Set_Ofolding__image__simple__idem(T_b,T_c,V_f_2,V_z_2,V_g_2,V_F_2)
% 164.74/165.05 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),V_A_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_c,tc_HOL_Obool)),V_B_2),V_A_2))
% 164.74/165.05 => 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) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_transfer__nat__int__set__cong,axiom,
% 164.74/165.05 ! [V_P_H_2,V_Pa_2] :
% 164.74/165.05 ( ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),B_x))
% 164.74/165.05 => ( hBOOL(hAPP(V_Pa_2,B_x))
% 164.74/165.05 <=> hBOOL(hAPP(V_P_H_2,B_x)) ) )
% 164.74/165.05 => hAPP(c_Set_OCollect(tc_Int_Oint),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Int_Oint),c_fconj),hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))),V_Pa_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)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_UnionE,axiom,
% 164.74/165.05 ! [V_C_2,V_A_2,T_b] :
% 164.74/165.05 ( 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)))
% 164.74/165.05 => ~ ! [B_X] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_A_2),B_X))
% 164.74/165.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_X),V_C_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_converseE,axiom,
% 164.74/165.05 ! [V_r_2,V_yx_2,T_c,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_yx_2),hAPP(c_Relation_Oconverse(T_c,T_b),V_r_2)))
% 164.74/165.05 => ~ ! [B_x,B_y] :
% 164.74/165.05 ( V_yx_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_y),B_x)
% 164.74/165.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),B_x),B_y)),V_r_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rel__compE,axiom,
% 164.74/165.05 ! [V_s_2,V_r_2,T_d,V_xz_2,T_c,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),V_xz_2),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_d,T_c),V_r_2),V_s_2)))
% 164.74/165.05 => ~ ! [B_x,B_y,B_z] :
% 164.74/165.05 ( V_xz_2 = hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),B_x),B_z)
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_d)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_d),B_x),B_y)),V_r_2))
% 164.74/165.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_d,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_d,T_c),B_y),B_z)),V_s_2)) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Nitpick_Oplus__frac__def,axiom,
% 164.74/165.05 ! [V_r_2,V_q_2,T_b] : c_Nitpick_Oplus__frac(T_b,V_q_2,V_r_2) = hAPP(hAPP(c_HOL_OLet(tc_Int_Oint,T_b),c_Nitpick_Oint__lcm(hAPP(c_Nitpick_Odenom(T_b),V_q_2),hAPP(c_Nitpick_Odenom(T_b),V_r_2))),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,T_b),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,T_b),tc_Int_Oint),c_Nitpick_Ofrac(T_b)),hAPP(hAPP(c_COMBS(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_fun(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint)),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_q_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_q_2))))),hAPP(hAPP(c_COMBB(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),V_r_2))),hAPP(hAPP(c_COMBC(tc_Int_Oint,tc_Int_Oint,tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint)),hAPP(c_Nitpick_Odenom(T_b),V_r_2)))))),c_COMBI(tc_Int_Oint))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_setprod__pos,axiom,
% 164.74/165.05 ! [V_f_2,V_A_2,T_b,T_c] :
% 164.74/165.05 ( class_Rings_Olinordered__semidom(T_c)
% 164.74/165.05 => ( ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 164.74/165.05 => 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))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Nitpick_Otimes__frac__def,axiom,
% 164.74/165.05 ! [V_r,V_q,T_a] : c_Nitpick_Otimes__frac(T_a,V_q,V_r) = hAPP(hAPP(c_Nitpick_Ofrac(T_a),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q)),hAPP(c_Nitpick_Onum(T_a),V_r))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(c_Nitpick_Odenom(T_a),V_q)),hAPP(c_Nitpick_Odenom(T_a),V_r))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Nitpick_Oof__frac__def,axiom,
% 164.74/165.05 ! [V_q,T_a,T_b] :
% 164.74/165.05 ( ( class_Rings_Oinverse(T_b)
% 164.74/165.05 & class_Rings_Oring__1(T_b) )
% 164.74/165.05 => c_Nitpick_Oof__frac(T_a,T_b,V_q) = hAPP(hAPP(c_Rings_Oinverse__class_Odivide(T_b),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Nitpick_Onum(T_a),V_q))),hAPP(c_Int_Oring__1__class_Oof__int(T_b),hAPP(c_Nitpick_Odenom(T_a),V_q))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Nitpick_Oinverse__frac__def,axiom,
% 164.74/165.05 ! [V_q,T_a] : c_Nitpick_Oinverse__frac(T_a,V_q) = hAPP(hAPP(c_Nitpick_Ofrac(T_a),hAPP(c_Nitpick_Odenom(T_a),V_q)),hAPP(c_Nitpick_Onum(T_a),V_q)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Nitpick_Ouminus__frac__def,axiom,
% 164.74/165.05 ! [V_q,T_a] : c_Nitpick_Ouminus__frac(T_a,V_q) = c_Nitpick_OAbs__Frac(T_a,hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_a),V_q))),hAPP(c_Nitpick_Odenom(T_a),V_q))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Nitpick_Oless__frac__def,axiom,
% 164.74/165.05 ! [V_r_2,V_q_2,T_b] :
% 164.74/165.05 ( c_Nitpick_Oless__frac(T_b,V_q_2,V_r_2)
% 164.74/165.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Nitpick_Oless__eq__frac__def,axiom,
% 164.74/165.05 ! [V_r_2,V_q_2,T_b] :
% 164.74/165.05 ( c_Nitpick_Oless__eq__frac(T_b,V_q_2,V_r_2)
% 164.74/165.05 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),hAPP(c_Nitpick_Onum(T_b),c_Nitpick_Oplus__frac(T_b,V_q_2,c_Nitpick_Ouminus__frac(T_b,V_r_2)))),c_Groups_Ozero__class_Ozero(tc_Int_Oint))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Nitpick_Odenom__def,axiom,
% 164.74/165.05 ! [T_b] : c_Nitpick_Odenom(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Osnd(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Nitpick_Onum__def,axiom,
% 164.74/165.05 ! [T_b] : c_Nitpick_Onum(T_b) = hAPP(c_Fun_Ocomp(tc_prod(tc_Int_Oint,tc_Int_Oint),tc_Int_Oint,T_b,c_Product__Type_Ofst(tc_Int_Oint,tc_Int_Oint)),c_Nitpick_ORep__Frac(T_b)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_internal__split__def,axiom,
% 164.74/165.05 ! [T_d,T_c,T_b] : c_Product__Type_Ointernal__split(T_b,T_c,T_d) = c_Product__Type_Oprod_Oprod__case(T_b,T_c,T_d) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_setprod__nonneg,axiom,
% 164.74/165.05 ! [V_f_2,V_A_2,T_b,T_c] :
% 164.74/165.05 ( class_Rings_Olinordered__semidom(T_c)
% 164.74/165.05 => ( ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),c_Groups_Ozero__class_Ozero(T_c)),hAPP(V_f_2,B_x))) )
% 164.74/165.05 => 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))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_internal__split__conv,axiom,
% 164.74/165.05 ! [V_b_2,V_aa_2,V_ca_2,T_b,T_d,T_c] : hAPP(hAPP(c_Product__Type_Ointernal__split(T_c,T_d,T_b),V_ca_2),hAPP(hAPP(c_Product__Type_OPair(T_c,T_d),V_aa_2),V_b_2)) = hAPP(hAPP(V_ca_2,V_aa_2),V_b_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_bool_Osize_I2_J,axiom,
% 164.74/165.05 c_HOL_Obool_Obool__size(c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_bool_Osize_I1_J,axiom,
% 164.74/165.05 c_HOL_Obool_Obool__size(c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_finite__less__ub,axiom,
% 164.74/165.05 ! [V_u_2,V_f_2] :
% 164.74/165.05 ( ! [B_n] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_n),hAPP(V_f_2,B_n)))
% 164.74/165.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_Nat_Onat),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),V_f_2)),V_u_2)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lenlex__def,axiom,
% 164.74/165.05 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_prod(tc_Nat_Onat,tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Wellfounded_Olex__prod(tc_Nat_Onat,tc_List_Olist(T_b),c_Wellfounded_Oless__than,c_List_Olex(T_b,V_r_2))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_List_Olist(T_b),tc_prod(tc_Nat_Onat,tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_Nat_Onat,tc_List_Olist(T_b))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_COMBI(tc_List_Olist(T_b)))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_neq__if__length__neq,axiom,
% 164.74/165.05 ! [V_ys,V_xs,T_a] :
% 164.74/165.05 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) != hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)
% 164.74/165.05 => V_xs != V_ys ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lexn__length,axiom,
% 164.74/165.05 ! [V_n_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))
% 164.74/165.05 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = V_n_2
% 164.74/165.05 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lenlex__conv,axiom,
% 164.74/165.05 ! [V_r_2,T_b] : c_List_Olenlex(T_b,V_r_2) = hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fdisj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBC(tc_List_Olist(T_b),tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(tc_List_Olist(T_b),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool)),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b))))),c_List_Olex(T_b,V_r_2)))))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_length__sublists,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_length__sublist,axiom,
% 164.74/165.05 ! [V_I_2,V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2)))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lexn_Osimps_I2_J,axiom,
% 164.74/165.05 ! [V_n_2,V_r_2,T_b] : hAPP(c_List_Olexn(T_b,V_r_2),hAPP(c_Nat_OSuc,V_n_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_prod(tc_prod(T_b,tc_List_Olist(T_b)),tc_prod(T_b,tc_List_Olist(T_b))),tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_Product__Type_Omap__pair(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),c_Wellfounded_Olex__prod(T_b,tc_List_Olist(T_b),V_r_2,hAPP(c_List_Olexn(T_b,V_r_2),V_n_2)))),hAPP(c_Set_OCollect(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2))))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),hAPP(c_Nat_OSuc,V_n_2)))))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lexord__lex,axiom,
% 164.74/165.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olex(T_b,V_r_2)))
% 164.74/165.05 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 164.74/165.05 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_impossible__Cons,axiom,
% 164.74/165.05 ! [V_x,V_ys,V_xs,T_a] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)))
% 164.74/165.05 => V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lexord__cons__cons,axiom,
% 164.74/165.05 ! [V_r_2,V_y_2,V_b_2,V_x_2,V_aa_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_aa_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)))
% 164.74/165.05 <=> ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),V_r_2))
% 164.74/165.05 | ( V_aa_2 = V_b_2
% 164.74/165.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list_Oinject,axiom,
% 164.74/165.05 ! [V_list_H_2,V_a_H_2,V_list_2,V_aa_2,T_b] :
% 164.74/165.05 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_aa_2),V_list_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_a_H_2),V_list_H_2)
% 164.74/165.05 <=> ( V_aa_2 = V_a_H_2
% 164.74/165.05 & V_list_2 = V_list_H_2 ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_not__Cons__self2,axiom,
% 164.74/165.05 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) != V_xs ).
% 164.74/165.05
% 164.74/165.05 fof(fact_not__Cons__self,axiom,
% 164.74/165.05 ! [V_x,T_a,V_xs] : V_xs != hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list_Osize_I4_J,axiom,
% 164.74/165.05 ! [V_list,V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),V_list)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_list)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Cons__in__lex,axiom,
% 164.74/165.05 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olex(T_b,V_r_2)))
% 164.74/165.05 <=> ( ( 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))
% 164.74/165.05 & hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) )
% 164.74/165.05 | ( V_x_2 = V_y_2
% 164.74/165.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olex(T_b,V_r_2))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__Cons__def,axiom,
% 164.74/165.05 ! [V_XS_2,V_A_2,T_b] : c_List_Oset__Cons(T_b,V_A_2,V_XS_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_List_Olist(T_b)),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_List_Olist(T_b)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBS(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_fun(T_b,tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool))),tc_List_Olist(T_b)),hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_fun(tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b))),tc_fun(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))),tc_List_Olist(T_b)),c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_List_Olist(T_b),tc_HOL_Obool,tc_List_Olist(T_b))),c_fequal))),c_List_Olist_OCons(T_b)))))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),T_b),c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),V_XS_2)))))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_pick_Osimps,axiom,
% 164.74/165.05 ! [V_xs,V_x,T_a,V_i] :
% 164.74/165.05 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x)))
% 164.74/165.05 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),V_x),V_xs)),V_i) = hAPP(c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_a),V_x) )
% 164.74/165.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x)))
% 164.74/165.05 => hAPP(c_Random_Opick(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_a)),V_x),V_xs)),V_i) = hAPP(c_Random_Opick(T_a,V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i),hAPP(c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_a),V_x))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_select__weight__cons__zero,axiom,
% 164.74/165.05 ! [V_xs_2,V_x_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),V_x_2)),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtrancl__listrel1__ConsI2,axiom,
% 164.74/165.05 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(T_b,V_r_2)))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Cons__acc__listrel1I,axiom,
% 164.74/165.05 ! [V_xs_2,V_r_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),c_Wellfounded_Oacc(T_b,V_r_2)))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel1__rtrancl__subset__rtrancl__listrel1,axiom,
% 164.74/165.05 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel1__mono,axiom,
% 164.74/165.05 ! [V_s_2,V_r_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel1(T_b,V_s_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel1__converse,axiom,
% 164.74/165.05 ! [V_r_2,T_b] : c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2)) = hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel1I2,axiom,
% 164.74/165.05 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtrancl__listrel1__ConsI1,axiom,
% 164.74/165.05 ! [V_x_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_ys_2))),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtrancl__listrel1__eq__len,axiom,
% 164.74/165.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 164.74/165.05 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel1__eq__len,axiom,
% 164.74/165.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 164.74/165.05 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_in__listrel1__converse,axiom,
% 164.74/165.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olistrel1(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))))
% 164.74/165.05 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel1I1,axiom,
% 164.74/165.05 ! [V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( 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))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_xs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Cons__listrel1__Cons,axiom,
% 164.74/165.05 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel1(T_b,V_r_2)))
% 164.74/165.05 <=> ( ( 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))
% 164.74/165.05 & V_xs_2 = V_ys_2 )
% 164.74/165.05 | ( V_x_2 = V_y_2
% 164.74/165.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list_Osize_I2_J,axiom,
% 164.74/165.05 ! [V_list_2,V_aa_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_aa_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_aa_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))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__Cons,axiom,
% 164.74/165.05 ! [V_xs_2,V_x_2,V_r_2,T_b] : hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) = c_List_Oset__Cons(T_b,hAPP(c_Relation_OImage(T_b,T_b,V_r_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))),hAPP(c_Relation_OImage(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Set_Oinsert(tc_List_Olist(T_b)),V_xs_2),c_Orderings_Obot__class_Obot(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__rtrancl__refl,axiom,
% 164.74/165.05 ! [V_r_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_xs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__mono,axiom,
% 164.74/165.05 ! [V_s_2,V_r_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_List_Olistrel(T_b,V_s_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__subset__rtrancl__listrel1,axiom,
% 164.74/165.05 ! [V_r_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__eq__len,axiom,
% 164.74/165.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 164.74/165.05 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__rtrancl__trans,axiom,
% 164.74/165.05 ! [V_zs_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_zs_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__rtrancl__eq__rtrancl__listrel1,axiom,
% 164.74/165.05 ! [V_r_2,T_b] : c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) = c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__reflcl__if__listrel1,axiom,
% 164.74/165.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel1__subset__listrel,axiom,
% 164.74/165.05 ! [V_r_H_2,V_r_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_r_H_2))
% 164.74/165.05 => ( c_Relation_Orefl__on(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)),V_r_H_2)
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel1(T_b,V_r_2)),c_List_Olistrel(T_b,V_r_H_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_rtrancl__listrel1__if__listrel,axiom,
% 164.74/165.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_Transitive__Closure_Ortrancl(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel_OCons,axiom,
% 164.74/165.05 ! [V_ys_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( 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))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrelp__listrel__eq,axiom,
% 164.74/165.05 ! [V_xa_2,V_x_2,V_r_2,T_b] :
% 164.74/165.05 ( c_List_Olistrelp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2),V_x_2,V_xa_2)
% 164.74/165.05 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_xa_2)),c_List_Olistrel(T_b,V_r_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__Cons2,axiom,
% 164.74/165.05 ! [V_r_2,V_ys_2,V_y_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))),c_List_Olistrel(T_b,V_r_2)))
% 164.74/165.05 => ~ ! [B_x,B_xs] :
% 164.74/165.05 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),V_y_2)),V_r_2))
% 164.74/165.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),B_xs),V_ys_2)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrelp_OCons,axiom,
% 164.74/165.05 ! [V_ys_2,V_xs_2,T_b,V_y_2,V_x_2,V_r_2] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 164.74/165.05 => ( c_List_Olistrelp(T_b,V_r_2,V_xs_2,V_ys_2)
% 164.74/165.05 => c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrelp_Oequations_I2_J,axiom,
% 164.74/165.05 ! [V_a4_2,V_a2_2,V_a3_2,V_a1_2,V_r_2,T_b] :
% 164.74/165.05 ( c_List_Olistrelp(T_b,V_r_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a3_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a4_2))
% 164.74/165.05 <=> ( hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2))
% 164.74/165.05 & c_List_Olistrelp(T_b,V_r_2,V_a3_2,V_a4_2) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__Cons1,axiom,
% 164.74/165.05 ! [V_r_2,V_xs_2,V_ys_2,V_y_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 164.74/165.05 => ~ ! [B_y,B_ys] :
% 164.74/165.05 ( V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_ys)
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_y_2),B_y)),V_r_2))
% 164.74/165.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_ys_2),B_ys)),c_List_Olistrel(T_b,V_r_2))) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__subset,axiom,
% 164.74/165.05 ! [V_A_2,V_r_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),hAPP(hAPP(c_Product__Type_OSigma(T_b,T_b),V_A_2),hAPP(c_COMBK(tc_fun(T_b,tc_HOL_Obool),T_b),V_A_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_HOL_Obool)),c_List_Olistrel(T_b,V_r_2)),hAPP(hAPP(c_Product__Type_OSigma(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_List_Olist(T_b)),c_List_Olists(T_b,V_A_2))))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lists__UNIV,axiom,
% 164.74/165.05 ! [T_b] : c_List_Olists(T_b,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) = c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lists__mono,axiom,
% 164.74/165.05 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olists(T_b,V_A_2)),c_List_Olists(T_b,V_B_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_equiv__listrel,axiom,
% 164.74/165.05 ! [V_r_2,V_A_2,T_b] :
% 164.74/165.05 ( c_Equiv__Relations_Oequiv(T_b,V_A_2,V_r_2)
% 164.74/165.05 => c_Equiv__Relations_Oequiv(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__refl__on,axiom,
% 164.74/165.05 ! [V_r_2,V_A_2,T_b] :
% 164.74/165.05 ( c_Relation_Orefl__on(T_b,V_A_2,V_r_2)
% 164.74/165.05 => c_Relation_Orefl__on(tc_List_Olist(T_b),c_List_Olists(T_b,V_A_2),c_List_Olistrel(T_b,V_r_2)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Cons__in__lists__iff,axiom,
% 164.74/165.05 ! [V_A_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),c_List_Olists(T_b,V_A_2)))
% 164.74/165.05 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.05 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lists__accI,axiom,
% 164.74/165.05 ! [V_r_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lists__accD,axiom,
% 164.74/165.05 ! [V_r_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,c_Wellfounded_Oacc(T_b,V_r_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_Wellfounded_Oacc(tc_List_Olist(T_b),c_List_Olistrel1(T_b,V_r_2)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__iff__nth,axiom,
% 164.74/165.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 164.74/165.05 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 164.74/165.05 & ! [B_n] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_n))),V_r_2)) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lexord__irreflexive,axiom,
% 164.74/165.05 ! [V_y_2,V_r_2,T_b] :
% 164.74/165.05 ( ! [B_x] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_x)),V_r_2))
% 164.74/165.05 => ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_y_2)),c_List_Olexord(T_b,V_r_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_nth__Cons__Suc,axiom,
% 164.74/165.05 ! [V_n,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_nth_Osimps,axiom,
% 164.74/165.05 ! [V_n_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_n_2) = c_Nat_Onat_Onat__case(T_b,V_x_2,hAPP(c_List_Onth(T_b),V_xs_2),V_n_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_nth__Cons__0,axiom,
% 164.74/165.05 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = V_x ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list__eq__iff__nth__eq,axiom,
% 164.74/165.05 ! [T_b,V_ys_2,V_xs_2] :
% 164.74/165.05 ( V_xs_2 = V_ys_2
% 164.74/165.05 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 164.74/165.05 & ! [B_i] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.05 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = hAPP(hAPP(c_List_Onth(T_b),V_ys_2),B_i) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_infinite__UNIV__listI,axiom,
% 164.74/165.05 ! [T_b] : ~ hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_nth__Cons_H,axiom,
% 164.74/165.05 ! [V_xs,V_x,T_a,V_n] :
% 164.74/165.05 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.05 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = V_x )
% 164.74/165.05 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.05 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_nth__Cons__number__of,axiom,
% 164.74/165.05 ! [V_xs,V_x,T_a,V_v] :
% 164.74/165.05 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.05 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = V_x )
% 164.74/165.05 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.05 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lexord__take__index__conv,axiom,
% 164.74/165.05 ! [V_r_2,V_y_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 164.74/165.05 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2)))
% 164.74/165.05 & hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),V_y_2) = V_x_2 )
% 164.74/165.05 | ? [B_i] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_x_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_y_2))))
% 164.74/165.05 & hAPP(hAPP(c_List_Otake(T_b),B_i),V_x_2) = hAPP(hAPP(c_List_Otake(T_b),B_i),V_y_2)
% 164.74/165.05 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_x_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_y_2),B_i))),V_r_2)) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lexord__linear,axiom,
% 164.74/165.05 ! [V_y_2,V_x_2,V_r_2,T_b] :
% 164.74/165.05 ( ! [B_a,B_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_b)),V_r_2))
% 164.74/165.05 | B_a = B_b
% 164.74/165.05 | hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_b),B_a)),V_r_2)) )
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 164.74/165.05 | V_x_2 = V_y_2
% 164.74/165.05 | hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_x_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_take__all,axiom,
% 164.74/165.05 ! [V_n,V_xs,T_a] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n))
% 164.74/165.05 => hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) = V_xs ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_nth__take,axiom,
% 164.74/165.05 ! [V_xs,T_a,V_n,V_i] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 164.74/165.05 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_take__take,axiom,
% 164.74/165.05 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_n),V_m)),V_xs) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_sublist__upt__eq__take,axiom,
% 164.74/165.05 ! [V_n_2,V_l_2,T_b] : c_List_Osublist(T_b,V_l_2,hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2)) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_l_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_length__take,axiom,
% 164.74/165.05 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_take__Suc__Cons,axiom,
% 164.74/165.05 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_finite__lists__length__le,axiom,
% 164.74/165.05 ! [V_n_2,V_A_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__sublist,axiom,
% 164.74/165.05 ! [V_I_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),c_member(tc_Nat_Onat)),V_I_2))))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_finite__set,axiom,
% 164.74/165.05 ! [V_xs_2,T_b] : hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__take__subset,axiom,
% 164.74/165.05 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_in__set__takeD,axiom,
% 164.74/165.05 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_List_Oset_Osimps_I2_J,axiom,
% 164.74/165.05 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__ConsD,axiom,
% 164.74/165.05 ! [V_xs_2,V_x_2,V_y_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))))
% 164.74/165.05 => ( V_y_2 = V_x_2
% 164.74/165.05 | hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_in__set__sublistD,axiom,
% 164.74/165.05 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_notin__set__sublistI,axiom,
% 164.74/165.05 ! [V_I_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.05 => ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_sublists__powset,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__subset__Cons,axiom,
% 164.74/165.05 ! [V_x_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__sublist__subset,axiom,
% 164.74/165.05 ! [V_I_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_card__length,axiom,
% 164.74/165.05 ! [V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_all__set__conv__all__nth,axiom,
% 164.74/165.05 ! [V_Pa_2,V_xs_2,T_b] :
% 164.74/165.05 ( ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.05 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.74/165.05 <=> ! [B_i] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.05 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__take__subset__set__take,axiom,
% 164.74/165.05 ! [V_xs_2,T_b,V_n_2,V_m_2] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list__size__estimation,axiom,
% 164.74/165.05 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list__size__estimation_H,axiom,
% 164.74/165.05 ! [V_f_2,V_y_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),hAPP(V_f_2,V_x_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_y_2),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_in__lists__conv__set,axiom,
% 164.74/165.05 ! [V_A_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 164.74/165.05 <=> ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_length__pos__if__in__set,axiom,
% 164.74/165.05 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_in__set__conv__nth,axiom,
% 164.74/165.05 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.05 <=> ? [B_i] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.05 & hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) = V_x_2 ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_nth__mem,axiom,
% 164.74/165.05 ! [V_xs_2,T_b,V_n_2] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lists__eq__set,axiom,
% 164.74/165.05 ! [V_A_2,T_b] : c_List_Olists(T_b,V_A_2) = hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__conv__nth,axiom,
% 164.74/165.05 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(c_List_Onth(T_b),V_xs_2))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_finite__lists__length__eq,axiom,
% 164.74/165.05 ! [V_n_2,V_A_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),hAPP(c_Set_OCollect(tc_List_Olist(T_b)),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool))),c_List_Oset(T_b))),V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_n_2))))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_WT__bodies__def,axiom,
% 164.74/165.05 ( c_Com_OWT__bodies
% 164.74/165.05 <=> ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_Com_Opname,tc_Com_Ocom)),B_x),hAPP(c_List_Oset(tc_prod(tc_Com_Opname,tc_Com_Ocom)),c_Com_Obodies)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_Com_Opname,tc_Com_Ocom,tc_HOL_Obool),hAPP(c_COMBK(tc_fun(tc_Com_Ocom,tc_HOL_Obool),tc_Com_Opname),c_Com_OWT)),B_x)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__iff__zip,axiom,
% 164.74/165.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel(T_b,V_r_2)))
% 164.74/165.05 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 164.74/165.05 & ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),T_b),c_COMBC(T_b,tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_prod(T_b,T_b)),tc_fun(T_b,tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_b),tc_fun(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool),tc_HOL_Obool),T_b),c_member(tc_prod(T_b,T_b)))),c_Product__Type_OPair(T_b,T_b)))),V_r_2)),B_x)) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_length__zip,axiom,
% 164.74/165.05 ! [V_ys,V_xs,T_b,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_prod(T_a,T_b))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_take__zip,axiom,
% 164.74/165.05 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Otake(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_b),V_n),V_ys)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_zip__Cons__Cons,axiom,
% 164.74/165.05 ! [V_ys,V_y,V_xs,V_x,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(tc_prod(T_a,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list__eq__iff__zip__eq,axiom,
% 164.74/165.05 ! [T_b,V_ys_2,V_xs_2] :
% 164.74/165.05 ( V_xs_2 = V_ys_2
% 164.74/165.05 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2)
% 164.74/165.05 & ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_b)),hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_ys_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_fequal),B_x)) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_zip__same,axiom,
% 164.74/165.05 ! [V_xs_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_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))))
% 164.74/165.05 <=> ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.05 & V_aa_2 = V_b_2 ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__zip__leftD,axiom,
% 164.74/165.05 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__zip__rightD,axiom,
% 164.74/165.05 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_in__set__zipE,axiom,
% 164.74/165.05 ! [V_ys_2,V_xs_2,V_y_2,V_x_2,T_c,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2),V_y_2)),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 164.74/165.05 => ~ ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.05 => ~ hBOOL(hAPP(hAPP(c_member(T_c),V_y_2),hAPP(c_List_Oset(T_c),V_ys_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_nth__zip,axiom,
% 164.74/165.05 ! [V_ys,T_b,V_xs,T_a,V_i] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)))
% 164.74/165.05 => hAPP(hAPP(c_List_Onth(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i) = hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_b),V_ys),V_i)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__zip,axiom,
% 164.74/165.05 ! [V_ys_2,V_xs_2,T_c,T_b] : hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = hAPP(c_Set_OCollect(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool,tc_prod(T_b,T_c)),c_HOL_OEx(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_Nat_Onat,tc_fun(tc_HOL_Obool,tc_HOL_Obool)),tc_prod(T_b,T_c)),hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj)),hAPP(hAPP(c_COMBC(tc_prod(T_b,T_c),tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(tc_fun(tc_Nat_Onat,tc_prod(T_b,T_c)),tc_fun(tc_Nat_Onat,tc_HOL_Obool)),tc_prod(T_b,T_c)),c_COMBB(tc_prod(T_b,T_c),tc_HOL_Obool,tc_Nat_Onat)),c_fequal)),hAPP(hAPP(c_COMBS(tc_Nat_Onat,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),tc_Nat_Onat),c_Product__Type_OPair(T_b,T_c)),hAPP(c_List_Onth(T_b),V_xs_2))),hAPP(c_List_Onth(T_c),V_ys_2)))))),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__n__lists,axiom,
% 164.74/165.05 ! [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)))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_product__list__set,axiom,
% 164.74/165.05 ! [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))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_length__n__lists,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_length__n__lists__elem,axiom,
% 164.74/165.05 ! [V_xs_2,V_n_2,V_ys_2,T_b] :
% 164.74/165.05 ( 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))))
% 164.74/165.05 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_2) = V_n_2 ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_greaterThanLessThan__upto,axiom,
% 164.74/165.05 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_j_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listsum__setsum__nth,axiom,
% 164.74/165.05 ! [V_xs_2,T_b] :
% 164.74/165.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.05 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listsum__simps_I2_J,axiom,
% 164.74/165.05 ! [V_xs,V_x,T_a] :
% 164.74/165.05 ( class_Groups_Omonoid__add(T_a)
% 164.74/165.05 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),V_x),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_elem__le__listsum__nat,axiom,
% 164.74/165.05 ! [V_ns,V_k] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),V_ns)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),V_ns),V_k)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_atLeastAtMost__upto,axiom,
% 164.74/165.05 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__upto,axiom,
% 164.74/165.05 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2)) = c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listsum__eq__0__nat__iff__nat,axiom,
% 164.74/165.05 ! [V_ns_2] :
% 164.74/165.05 ( hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.05 <=> ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 164.74/165.05 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_atLeastLessThan__upto,axiom,
% 164.74/165.05 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Int_Oint,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_j_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_greaterThanAtMost__upto,axiom,
% 164.74/165.05 ! [V_j_2,V_i_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Int_Oint,V_i_2,V_j_2) = hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)),V_j_2)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_nat__list__def,axiom,
% 164.74/165.05 ! [V_l_2] :
% 164.74/165.05 ( c_List_Onat__list(V_l_2)
% 164.74/165.05 <=> c_Nat__Transfer_Onat__set(hAPP(c_List_Oset(tc_Int_Oint),V_l_2)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list__size__pointwise,axiom,
% 164.74/165.05 ! [V_g_2,V_f_2,V_xs_2,T_b] :
% 164.74/165.05 ( ! [B_x] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2)),c_List_Olist_Olist__size(T_b,V_g_2,V_xs_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listsum__update__nat,axiom,
% 164.74/165.05 ! [V_n,V_ns,V_k] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),V_ns)))
% 164.74/165.05 => hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Olist__update(tc_Nat_Onat,V_ns),V_k),V_n)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),V_ns)),V_n)),hAPP(hAPP(c_List_Onth(tc_Nat_Onat),V_ns),V_k)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_butlast__take,axiom,
% 164.74/165.05 ! [V_xs,T_a,V_n] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.05 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_in__set__butlastD,axiom,
% 164.74/165.05 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list__update__beyond,axiom,
% 164.74/165.05 ! [V_x,V_i,V_xs,T_a] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i))
% 164.74/165.05 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x) = V_xs ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_nth__list__update__neq,axiom,
% 164.74/165.05 ! [V_x,V_xs,T_a,V_j,V_i] :
% 164.74/165.05 ( V_i != V_j
% 164.74/165.05 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list__update__id,axiom,
% 164.74/165.05 ! [V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)) = V_xs ).
% 164.74/165.05
% 164.74/165.05 fof(fact_butlast__list__update,axiom,
% 164.74/165.05 ! [V_x,V_xs,T_a,V_k] :
% 164.74/165.05 ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 164.74/165.05 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Obutlast(T_a,V_xs) )
% 164.74/165.05 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 164.74/165.05 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = hAPP(hAPP(c_List_Olist__update(T_a,c_List_Obutlast(T_a,V_xs)),V_k),V_x) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_length__list__update,axiom,
% 164.74/165.05 ! [V_x,V_i,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list__update__code_I3_J,axiom,
% 164.74/165.05 ! [V_y,V_i,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),hAPP(c_Nat_OSuc,V_i)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list__update_Osimps_I2_J,axiom,
% 164.74/165.05 ! [V_v_2,V_i_2,V_xs_2,V_x_2,T_b] : hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_i_2),V_v_2) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_v_2),V_xs_2),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_Nat_Onat),hAPP(c_List_Olist_OCons(T_b),V_x_2)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,T_b,tc_List_Olist(T_b)),c_List_Olist__update(T_b,V_xs_2)),V_v_2)),V_i_2) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list__update__code_I2_J,axiom,
% 164.74/165.05 ! [V_y,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_y) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list__update__overwrite,axiom,
% 164.74/165.05 ! [V_y,V_x,V_i,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i),V_y) = hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_y) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list__update__swap,axiom,
% 164.74/165.05 ! [V_x_H,V_x,V_xs,T_a,V_i_H,V_i] :
% 164.74/165.05 ( V_i != V_i_H
% 164.74/165.05 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i_H),V_x_H) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i_H),V_x_H)),V_i),V_x) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_update__zip,axiom,
% 164.74/165.05 ! [V_xy,V_i,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),V_xy) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),hAPP(c_Product__Type_Ofst(T_a,T_b),V_xy))),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),hAPP(c_Product__Type_Osnd(T_a,T_b),V_xy))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_zip__update,axiom,
% 164.74/165.05 ! [V_y,V_ys,V_x,V_i,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),hAPP(hAPP(c_List_Olist__update(T_b,V_ys),V_i),V_y)) = hAPP(hAPP(c_List_Olist__update(tc_prod(T_a,T_b),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)),V_i),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__update__subsetI,axiom,
% 164.74/165.05 ! [V_i_2,V_x_2,V_A_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),V_A_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),V_A_2))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),V_A_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__update__subset__insert,axiom,
% 164.74/165.05 ! [V_x_2,V_i_2,V_xs_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2))),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_nth__list__update__eq,axiom,
% 164.74/165.05 ! [V_x,V_xs,T_a,V_i] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.05 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_i) = V_x ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list__update__same__conv,axiom,
% 164.74/165.05 ! [V_x_2,V_xs_2,T_b,V_i_2] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.05 => ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_x_2) = V_xs_2
% 164.74/165.05 <=> hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = V_x_2 ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_nth__list__update,axiom,
% 164.74/165.05 ! [V_x,V_j,V_xs,T_a,V_i] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.05 => ( ( V_i = V_j
% 164.74/165.05 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = V_x )
% 164.74/165.05 & ( V_i != V_j
% 164.74/165.05 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_j) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_take__butlast,axiom,
% 164.74/165.05 ! [V_xs,T_a,V_n] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.05 => hAPP(hAPP(c_List_Otake(T_a),V_n),c_List_Obutlast(T_a,V_xs)) = hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_length__butlast,axiom,
% 164.74/165.05 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Obutlast(T_a,V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__update__memI,axiom,
% 164.74/165.05 ! [V_x_2,V_xs_2,T_b,V_n_2] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.05 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_n_2),V_x_2)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_butlast__conv__take,axiom,
% 164.74/165.05 ! [V_xs,T_a] : c_List_Obutlast(T_a,V_xs) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel1__iff__update,axiom,
% 164.74/165.05 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 164.74/165.05 <=> ? [B_y,B_n] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n)),B_y)),V_r_2))
% 164.74/165.05 & hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.05 & V_ys_2 = hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),B_n),B_y) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_distinct__list__update,axiom,
% 164.74/165.05 ! [V_i_2,V_aa_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.05 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_aa_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))))))
% 164.74/165.05 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_i_2),V_aa_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_distinct__upto,axiom,
% 164.74/165.05 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Int_Oint),c_List_Oupto(V_i,V_j))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_distinct__zipI1,axiom,
% 164.74/165.05 ! [V_ys,T_b,V_xs,T_a] :
% 164.74/165.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 164.74/165.05 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_distinct__zipI2,axiom,
% 164.74/165.05 ! [V_xs,T_b,V_ys,T_a] :
% 164.74/165.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_ys))
% 164.74/165.05 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_b,T_a)),hAPP(hAPP(c_List_Ozip(T_b,T_a),V_xs),V_ys))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_distinct__sublistI,axiom,
% 164.74/165.05 ! [V_I_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.05 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Osublist(T_b,V_xs_2,V_I_2))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_distinct__n__lists,axiom,
% 164.74/165.05 ! [V_n,V_xs,T_a] :
% 164.74/165.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 164.74/165.05 => hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_a)),c_Enum_On__lists(T_a,V_n,V_xs))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_distinct__product,axiom,
% 164.74/165.05 ! [V_ys,T_b,V_xs,T_a] :
% 164.74/165.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 164.74/165.05 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys))
% 164.74/165.05 => hBOOL(hAPP(c_List_Odistinct(tc_prod(T_a,T_b)),c_Enum_Oproduct(T_a,T_b,V_xs,V_ys))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_distinct__take,axiom,
% 164.74/165.05 ! [V_i,V_xs,T_a] :
% 164.74/165.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 164.74/165.05 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_distinct_Osimps_I2_J,axiom,
% 164.74/165.05 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)))
% 164.74/165.05 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.05 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_card__distinct,axiom,
% 164.74/165.05 ! [V_xs_2,T_b] :
% 164.74/165.05 ( hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 164.74/165.05 => hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_distinct__card,axiom,
% 164.74/165.05 ! [V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.05 => hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_nth__eq__iff__index__eq,axiom,
% 164.74/165.05 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.05 => ( hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_i_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2)
% 164.74/165.05 <=> V_i_2 = V_j_2 ) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_distinct__conv__nth,axiom,
% 164.74/165.05 ! [V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.05 <=> ! [B_i] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.05 => ! [B_j] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.05 => ( B_i != B_j
% 164.74/165.05 => hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i) != hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j) ) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_distinct__listsum__conv__Setsum,axiom,
% 164.74/165.05 ! [V_xs_2,T_b] :
% 164.74/165.05 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.05 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.05 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_b),c_COMBI(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Nitpick_Ocard_H__def,axiom,
% 164.74/165.05 ! [V_A_2,T_b] :
% 164.74/165.05 ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => c_Nitpick_Ocard_H(T_b,V_A_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b)))) )
% 164.74/165.05 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.05 => c_Nitpick_Ocard_H(T_b,V_A_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_nth__take__lemma,axiom,
% 164.74/165.05 ! [V_ys,V_xs,T_a,V_k] :
% 164.74/165.05 ( 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)))
% 164.74/165.05 => ( 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)))
% 164.74/165.05 => ( ! [B_i] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_k))
% 164.74/165.05 => hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i) = hAPP(hAPP(c_List_Onth(T_a),V_ys),B_i) )
% 164.74/165.05 => hAPP(hAPP(c_List_Otake(T_a),V_k),V_xs) = hAPP(hAPP(c_List_Otake(T_a),V_k),V_ys) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__remove1__eq,axiom,
% 164.74/165.05 ! [V_x_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.05 => 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)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_take__Cons__number__of,axiom,
% 164.74/165.05 ! [V_xs,V_x,T_a,V_v] :
% 164.74/165.05 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.05 => 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) )
% 164.74/165.05 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.05 => 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)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lists_ONil,axiom,
% 164.74/165.05 ! [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))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__Nil2,axiom,
% 164.74/165.05 ! [V_r_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel(T_b,V_r_2)))
% 164.74/165.05 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__Nil1,axiom,
% 164.74/165.05 ! [V_r_2,V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel(T_b,V_r_2)))
% 164.74/165.05 => V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_distinct__butlast,axiom,
% 164.74/165.05 ! [T_a,V_xs] :
% 164.74/165.05 ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.05 => ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 164.74/165.05 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Obutlast(T_a,V_xs))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_distinct__remove1,axiom,
% 164.74/165.05 ! [V_x,V_xs,T_a] :
% 164.74/165.05 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 164.74/165.05 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremove1(T_a,V_x,V_xs))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_distinct_Osimps_I1_J,axiom,
% 164.74/165.05 ! [T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Olist_ONil(T_a))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_butlast_Osimps_I2_J,axiom,
% 164.74/165.05 ! [V_x,T_a,V_xs] :
% 164.74/165.05 ( ( V_xs = c_List_Olist_ONil(T_a)
% 164.74/165.05 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olist_ONil(T_a) )
% 164.74/165.05 & ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.05 => 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)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_butlast_Osimps_I1_J,axiom,
% 164.74/165.05 ! [T_a] : c_List_Obutlast(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_upto__empty,axiom,
% 164.74/165.05 ! [V_i,V_j] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_j),V_i))
% 164.74/165.05 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_zip__Nil,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_zip_Osimps_I1_J,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_sublist__empty,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list_Osize_I1_J,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_sublist__nil,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_remove1__commute,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_remove1_Osimps_I1_J,axiom,
% 164.74/165.05 ! [V_x,T_a] : c_List_Oremove1(T_a,V_x,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrelp_Oequations_I1_J,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrelp_ONil,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_product_Osimps_I1_J,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_n__lists_Osimps_I1_J,axiom,
% 164.74/165.05 ! [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))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_n__lists__Nil,axiom,
% 164.74/165.05 ! [T_a,V_n] :
% 164.74/165.05 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.05 => 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))) )
% 164.74/165.05 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.05 => c_Enum_On__lists(T_a,V_n,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(tc_List_Olist(T_a)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list_Osimps_I2_J,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list_Osimps_I3_J,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_remove1_Osimps_I2_J,axiom,
% 164.74/165.05 ! [V_xs,T_a,V_y,V_x] :
% 164.74/165.05 ( ( V_x = V_y
% 164.74/165.05 => c_List_Oremove1(T_a,V_x,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = V_xs )
% 164.74/165.05 & ( V_x != V_y
% 164.74/165.05 => 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)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_sublists_Osimps_I1_J,axiom,
% 164.74/165.05 ! [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))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_take__Nil,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_take__eq__Nil,axiom,
% 164.74/165.05 ! [V_xs_2,V_n_2,T_b] :
% 164.74/165.05 ( hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 164.74/165.05 <=> ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.05 | V_xs_2 = c_List_Olist_ONil(T_b) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_take__0,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_length__0__conv,axiom,
% 164.74/165.05 ! [V_xs_2,T_b] :
% 164.74/165.05 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.05 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list_Osize_I3_J,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__empty,axiom,
% 164.74/165.05 ! [V_xs_2,T_b] :
% 164.74/165.05 ( hAPP(c_List_Oset(T_b),V_xs_2) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.05 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__empty2,axiom,
% 164.74/165.05 ! [V_xs_2,T_b] :
% 164.74/165.05 ( c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) = hAPP(c_List_Oset(T_b),V_xs_2)
% 164.74/165.05 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_List_Oset_Osimps_I1_J,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_remove1__idem,axiom,
% 164.74/165.05 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.05 => c_List_Oremove1(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_notin__set__remove1,axiom,
% 164.74/165.05 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.05 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.05 => ~ 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)))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_in__set__remove1,axiom,
% 164.74/165.05 ! [V_xs_2,T_b,V_b_2,V_aa_2] :
% 164.74/165.05 ( V_aa_2 != V_b_2
% 164.74/165.05 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(c_List_Oset(T_b),c_List_Oremove1(T_b,V_b_2,V_xs_2))))
% 164.74/165.05 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listsum__simps_I1_J,axiom,
% 164.74/165.05 ! [T_a] :
% 164.74/165.05 ( class_Groups_Omonoid__add(T_a)
% 164.74/165.05 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),c_List_Olist_ONil(T_a)) = c_Groups_Ozero__class_Ozero(T_a) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__remove1__subset,axiom,
% 164.74/165.05 ! [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))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list__update__code_I1_J,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list__update_Osimps_I1_J,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_list__update__nonempty,axiom,
% 164.74/165.05 ! [V_x_2,V_k_2,V_xs_2,T_b] :
% 164.74/165.05 ( hAPP(hAPP(c_List_Olist__update(T_b,V_xs_2),V_k_2),V_x_2) = c_List_Olist_ONil(T_b)
% 164.74/165.05 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_length__greater__0__conv,axiom,
% 164.74/165.05 ! [V_xs_2,T_b] :
% 164.74/165.05 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.05 <=> V_xs_2 != c_List_Olist_ONil(T_b) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_take__1__Cons,axiom,
% 164.74/165.05 ! [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)) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_not__Nil__listrel1,axiom,
% 164.74/165.05 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xs_2)),c_List_Olistrel1(T_b,V_r_2))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_not__listrel1__Nil,axiom,
% 164.74/165.05 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olistrel1(T_b,V_r_2))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel_ONil,axiom,
% 164.74/165.05 ! [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))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lexord__Nil__right,axiom,
% 164.74/165.05 ! [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))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Nil2__notin__lex,axiom,
% 164.74/165.05 ! [V_r_2,V_xs_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),c_List_Olist_ONil(T_b))),c_List_Olex(T_b,V_r_2))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_Nil__notin__lex,axiom,
% 164.74/165.05 ! [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))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_take__Cons,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_upto_Osimps,axiom,
% 164.74/165.05 ! [V_j,V_i] :
% 164.74/165.05 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 164.74/165.05 => 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)) )
% 164.74/165.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i),V_j))
% 164.74/165.05 => c_List_Oupto(V_i,V_j) = c_List_Olist_ONil(tc_Int_Oint) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_sublist__singleton,axiom,
% 164.74/165.05 ! [V_x_2,T_b,V_A_2] :
% 164.74/165.05 ( ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 164.74/165.05 => 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)) )
% 164.74/165.05 & ( ~ hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2))
% 164.74/165.05 => 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) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_lists__empty,axiom,
% 164.74/165.05 ! [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))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_take__Cons_H,axiom,
% 164.74/165.05 ! [V_xs,V_x,T_a,V_n] :
% 164.74/165.05 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.05 => 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) )
% 164.74/165.05 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.05 => 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)) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_upto__rec__number__of,axiom,
% 164.74/165.05 ! [V_n,V_m] :
% 164.74/165.05 ( ( 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)))
% 164.74/165.05 => 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))) )
% 164.74/165.05 & ( ~ 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)))
% 164.74/165.05 => 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) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listrel__Nil,axiom,
% 164.74/165.05 ! [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))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_set__Cons__sing__Nil,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_length__remove1,axiom,
% 164.74/165.05 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.05 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.05 => 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)) )
% 164.74/165.05 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.05 => 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) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_upto_Opsimps,axiom,
% 164.74/165.05 ! [V_j_2,V_i_2] :
% 164.74/165.05 ( 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)))
% 164.74/165.05 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 164.74/165.05 => 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)) )
% 164.74/165.05 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),V_i_2),V_j_2))
% 164.74/165.05 => c_List_Oupto(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Int_Oint) ) ) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_select,axiom,
% 164.74/165.05 ! [V_s_2,T_b,V_xs_2] :
% 164.74/165.05 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 164.74/165.05 => 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))) ) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_listset_Osimps_I1_J,axiom,
% 164.74/165.05 ! [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))) ).
% 164.74/165.05
% 164.74/165.05 fof(fact_zip__Cons1,axiom,
% 164.74/165.05 ! [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) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list_Osimps_I5_J,axiom,
% 164.74/165.06 ! [V_list_2,V_aa_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_aa_2),V_list_2)) = hAPP(hAPP(V_f2_2,V_aa_2),V_list_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list_Osimps_I4_J,axiom,
% 164.74/165.06 ! [V_f2_2,V_f1_2,T_c,T_b] : hAPP(c_List_Olist_Olist__case(T_b,T_c,V_f1_2,V_f2_2),c_List_Olist_ONil(T_c)) = V_f1_2 ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listset_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_As_2,V_A_2,T_b] : c_List_Olistset(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_As_2)) = c_List_Oset__Cons(T_b,V_A_2,c_List_Olistset(T_b,V_As_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_zip__Cons,axiom,
% 164.74/165.06 ! [V_ys_2,V_y_2,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(tc_prod(T_b,T_c)),T_b,c_List_Olist_ONil(tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c))),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_prod(T_b,T_c)))),T_b),c_COMBB(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_List_Olist(tc_prod(T_b,T_c)),tc_List_Olist(tc_prod(T_b,T_c))),T_b),c_List_Olist_OCons(tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBC(T_b,T_c,tc_prod(T_b,T_c)),c_Product__Type_OPair(T_b,T_c)),V_y_2)))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_c),tc_List_Olist(tc_prod(T_b,T_c))),c_List_Ozip(T_b,T_c)),V_ys_2))),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__list__of__set__remove,axiom,
% 164.74/165.06 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.06 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))) = c_List_Oremove1(T_b,V_x_2,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_upto_Opinduct,axiom,
% 164.74/165.06 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 164.74/165.06 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 164.74/165.06 => ( ! [B_i,B_j] :
% 164.74/165.06 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_List_Oupto__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_i),B_j)))
% 164.74/165.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint),B_i),B_j))
% 164.74/165.06 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint))),B_j)) )
% 164.74/165.06 => hBOOL(hAPP(hAPP(V_Pa_2,B_i),B_j)) ) )
% 164.74/165.06 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__list__of__set__empty,axiom,
% 164.74/165.06 ! [T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => c_List_Olinorder__class_Osorted__list__of__set(T_b,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_anamorph_Osimps,axiom,
% 164.74/165.06 ! [V_x_2,V_f_2,T_b,T_c,V_k_2] :
% 164.74/165.06 ( ( V_k_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 164.74/165.06 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2) )
% 164.74/165.06 & ( V_k_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 164.74/165.06 => hAPP(hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),V_k_2),V_x_2) = c_Option_Ooption_Ooption__case(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(T_b,T_c),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),T_c),c_List_Olist_ONil(T_b)),V_x_2),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_prod(tc_List_Olist(T_b),T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),c_COMBB(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c),T_c)),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),tc_fun(tc_prod(tc_List_Olist(T_b),T_c),tc_prod(tc_List_Olist(T_b),T_c)),T_b),c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),T_c,tc_prod(tc_List_Olist(T_b),T_c))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(T_c,tc_prod(tc_List_Olist(T_b),T_c)),tc_List_Olist(T_b)),c_Product__Type_OPair(tc_List_Olist(T_b),T_c))),c_List_Olist_OCons(T_b))))),hAPP(c_Lazy__Sequence_Oanamorph(T_c,T_b,V_f_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_k_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))))),hAPP(V_f_2,V_x_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sublist__Cons,axiom,
% 164.74/165.06 ! [V_A_2,V_l_2,V_x_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_l_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(hAPP(c_If(tc_List_Olist(T_b)),hAPP(hAPP(c_member(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_A_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))),c_List_Olist_ONil(T_b))),c_List_Osublist(T_b,V_l_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),c_Nat_OSuc)),V_A_2)))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__eq__Cons__conv,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,V_zs_2,V_ys_2,T_b] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 164.74/165.06 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 164.74/165.06 & V_zs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) )
% 164.74/165.06 | ? [B_ys_H] :
% 164.74/165.06 ( V_ys_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H)
% 164.74/165.06 & hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) = V_xs_2 ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Cons__eq__append__conv,axiom,
% 164.74/165.06 ! [V_zs_2,V_ys_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_zs_2)
% 164.74/165.06 <=> ( ( V_ys_2 = c_List_Olist_ONil(T_b)
% 164.74/165.06 & hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = V_zs_2 )
% 164.74/165.06 | ? [B_ys_H] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),B_ys_H) = V_ys_2
% 164.74/165.06 & V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_ys_H),V_zs_2) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append1__eq__conv,axiom,
% 164.74/165.06 ! [V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b)))
% 164.74/165.06 <=> ( V_xs_2 = V_ys_2
% 164.74/165.06 & V_x_2 = V_y_2 ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__Cons,axiom,
% 164.74/165.06 ! [V_ys,V_xs,V_x,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)),V_ys) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Cons__eq__appendI,axiom,
% 164.74/165.06 ! [V_zs,V_xs,V_ys,V_xs1,V_x,T_a] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs1) = V_ys
% 164.74/165.06 => ( V_xs = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_zs)
% 164.74/165.06 => hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__in__lists__conv,axiom,
% 164.74/165.06 ! [V_A_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)),c_List_Olists(T_b,V_A_2)))
% 164.74/165.06 <=> ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_xs_2),c_List_Olists(T_b,V_A_2)))
% 164.74/165.06 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_ys_2),c_List_Olists(T_b,V_A_2))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__eq__appendI,axiom,
% 164.74/165.06 ! [V_us,V_ys,V_zs,V_xs1,V_xs,T_a] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_xs1) = V_zs
% 164.74/165.06 => ( V_ys = hAPP(hAPP(c_List_Oappend(T_a),V_xs1),V_us)
% 164.74/165.06 => hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys) = hAPP(hAPP(c_List_Oappend(T_a),V_zs),V_us) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__same__eq,axiom,
% 164.74/165.06 ! [V_zs_2,V_xs_2,V_ys_2,T_b] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_xs_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_xs_2)
% 164.74/165.06 <=> V_ys_2 = V_zs_2 ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_same__append__eq,axiom,
% 164.74/165.06 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_zs_2)
% 164.74/165.06 <=> V_ys_2 = V_zs_2 ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__eq__append__conv2,axiom,
% 164.74/165.06 ! [V_ts_2,V_zs_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),V_ts_2)
% 164.74/165.06 <=> ? [B_us] :
% 164.74/165.06 ( ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_zs_2),B_us)
% 164.74/165.06 & hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ys_2) = V_ts_2 )
% 164.74/165.06 | ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),B_us) = V_zs_2
% 164.74/165.06 & V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),V_ts_2) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__assoc,axiom,
% 164.74/165.06 ! [V_zs,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Oappend(T_a),V_ys),V_zs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_zip__append,axiom,
% 164.74/165.06 ! [V_vs,V_ys,V_us,T_b,V_xs,T_a] :
% 164.74/165.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_us)
% 164.74/165.06 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_vs)
% 164.74/165.06 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_List_Oappend(T_b),V_us),V_vs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_us)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),V_vs)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__append,axiom,
% 164.74/165.06 ! [V_ys,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__append,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsum__append,axiom,
% 164.74/165.06 ! [V_ys,V_xs,T_a] :
% 164.74/165.06 ( class_Groups_Omonoid__add(T_a)
% 164.74/165.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_a),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs)),hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_ys)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__Nil,axiom,
% 164.74/165.06 ! [V_ys,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) = V_ys ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Nil__is__append__conv,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 164.74/165.06 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 164.74/165.06 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__Nil2,axiom,
% 164.74/165.06 ! [V_xs,T_a] : hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Olist_ONil(T_a)) = V_xs ).
% 164.74/165.06
% 164.74/165.06 fof(fact_self__append__conv,axiom,
% 164.74/165.06 ! [V_ys_2,T_b,V_xs_2] :
% 164.74/165.06 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 164.74/165.06 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_self__append__conv2,axiom,
% 164.74/165.06 ! [V_xs_2,T_b,V_ys_2] :
% 164.74/165.06 ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)
% 164.74/165.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__is__Nil__conv,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = c_List_Olist_ONil(T_b)
% 164.74/165.06 <=> ( V_xs_2 = c_List_Olist_ONil(T_b)
% 164.74/165.06 & V_ys_2 = c_List_Olist_ONil(T_b) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__self__conv,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_xs_2
% 164.74/165.06 <=> V_ys_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__self__conv2,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_ys_2
% 164.74/165.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_eq__Nil__appendI,axiom,
% 164.74/165.06 ! [T_a,V_ys,V_xs] :
% 164.74/165.06 ( V_xs = V_ys
% 164.74/165.06 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),c_List_Olist_ONil(T_a)),V_ys) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_butlast__append,axiom,
% 164.74/165.06 ! [V_xs,T_a,V_ys] :
% 164.74/165.06 ( ( V_ys = c_List_Olist_ONil(T_a)
% 164.74/165.06 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Obutlast(T_a,V_xs) )
% 164.74/165.06 & ( V_ys != c_List_Olist_ONil(T_a)
% 164.74/165.06 => c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),c_List_Obutlast(T_a,V_ys)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nth__append__length,axiom,
% 164.74/165.06 ! [V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = V_x ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nth__append__length__plus,axiom,
% 164.74/165.06 ! [V_n,V_ys,V_xs,T_a] : hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n)) = hAPP(hAPP(c_List_Onth(T_a),V_ys),V_n) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_take__append,axiom,
% 164.74/165.06 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__update__append1,axiom,
% 164.74/165.06 ! [V_x,V_ys,V_xs,T_a,V_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_i),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_x)),V_ys) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__update__length,axiom,
% 164.74/165.06 ! [V_y,V_ys,V_x,V_xs,T_a] : hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_ys))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_y) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_remove1__append,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Oremove1(T_b,V_x_2,V_xs_2)),V_ys_2) )
% 164.74/165.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oremove1(T_b,V_x_2,V_ys_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_in__set__butlast__appendI,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_xs_2))))
% 164.74/165.06 | hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,V_ys_2)))) )
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Obutlast(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_butlast__snoc,axiom,
% 164.74/165.06 ! [V_x,V_xs,T_a] : c_List_Obutlast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_xs ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__listrel1I,axiom,
% 164.74/165.06 ! [V_vs_2,V_us_2,V_r_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 164.74/165.06 & V_us_2 = V_vs_2 )
% 164.74/165.06 | ( V_xs_2 = V_ys_2
% 164.74/165.06 & hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_us_2),V_vs_2)),c_List_Olistrel1(T_b,V_r_2))) ) )
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_us_2)),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),V_vs_2))),c_List_Olistrel1(T_b,V_r_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_lexord__append__leftI,axiom,
% 164.74/165.06 ! [V_x_2,V_r_2,V_v_2,V_u_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__append,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 164.74/165.06 <=> ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.06 & hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 164.74/165.06 & hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nth__append,axiom,
% 164.74/165.06 ! [V_ys,V_xs,T_a,V_n] :
% 164.74/165.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) )
% 164.74/165.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__update__append,axiom,
% 164.74/165.06 ! [V_x,V_ys,V_xs,T_a,V_n] :
% 164.74/165.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_n),V_x)),V_ys) )
% 164.74/165.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hAPP(hAPP(c_List_Olist__update(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_n),V_x) = hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist__update(T_a,V_ys),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_x)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sublist__append,axiom,
% 164.74/165.06 ! [V_A_2,V_l_H_2,V_l_2,T_b] : c_List_Osublist(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_l_2),V_l_H_2),V_A_2) = hAPP(hAPP(c_List_Oappend(T_b),c_List_Osublist(T_b,V_l_2,V_A_2)),c_List_Osublist(T_b,V_l_H_2,hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_Nat_Onat),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_l_2)))),V_A_2)))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listrel1I,axiom,
% 164.74/165.06 ! [V_ys_2,V_vs_2,V_us_2,V_xs_2,V_r_2,V_y_2,V_x_2,T_b] :
% 164.74/165.06 ( 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))
% 164.74/165.06 => ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_vs_2))
% 164.74/165.06 => ( V_ys_2 = hAPP(hAPP(c_List_Oappend(T_b),V_us_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_vs_2))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2))) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_lexord__append__left__rightI,axiom,
% 164.74/165.06 ! [V_y_2,V_x_2,V_u_2,V_r_2,V_b_2,V_aa_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),V_r_2))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_u_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_aa_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))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_take__Suc__conv__app__nth,axiom,
% 164.74/165.06 ! [V_xs,T_a,V_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),c_List_Olist_ONil(T_a))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_snoc__listrel1__snoc__iff,axiom,
% 164.74/165.06 ! [V_r_2,V_y_2,V_ys_2,V_x_2,V_xs_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)))),hAPP(hAPP(c_List_Oappend(T_b),V_ys_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))))),c_List_Olistrel1(T_b,V_r_2)))
% 164.74/165.06 <=> ( ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 164.74/165.06 & V_x_2 = V_y_2 )
% 164.74/165.06 | ( V_xs_2 = V_ys_2
% 164.74/165.06 & 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)) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listrel1E,axiom,
% 164.74/165.06 ! [V_r_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2)),c_List_Olistrel1(T_b,V_r_2)))
% 164.74/165.06 => ~ ! [B_x,B_y] :
% 164.74/165.06 ( 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))
% 164.74/165.06 => ! [B_us,B_vs] :
% 164.74/165.06 ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_vs))
% 164.74/165.06 => V_ys_2 != hAPP(hAPP(c_List_Oappend(T_b),B_us),hAPP(hAPP(c_List_Olist_OCons(T_b),B_y),B_vs)) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_lexord__append__leftD,axiom,
% 164.74/165.06 ! [V_r_2,V_v_2,V_u_2,V_x_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_u_2)),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_v_2))),c_List_Olexord(T_b,V_r_2)))
% 164.74/165.06 => ( ! [B_a] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_a),B_a)),V_r_2))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_u_2),V_v_2)),c_List_Olexord(T_b,V_r_2))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate1__def,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : hAPP(c_List_Orotate1(T_b),V_xs_2) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)))),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_upd__conv__take__nth__drop,axiom,
% 164.74/165.06 ! [V_a,V_xs,T_a,V_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_i),V_a) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_a),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__take__drop__id,axiom,
% 164.74/165.06 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = V_xs ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__Suc__Cons,axiom,
% 164.74/165.06 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__1__Cons,axiom,
% 164.74/165.06 ! [V_xs,V_x,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nth__via__drop,axiom,
% 164.74/165.06 ! [V_ys,V_y,V_xs,V_n,T_a] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)
% 164.74/165.06 => hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) = V_y ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__drop,axiom,
% 164.74/165.06 ! [V_i,V_xs,T_a] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 164.74/165.06 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct1__rotate,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)))
% 164.74/165.06 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_butlast__drop,axiom,
% 164.74/165.06 ! [V_xs,V_n,T_a] : c_List_Obutlast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Obutlast(T_a,V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__butlast,axiom,
% 164.74/165.06 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Obutlast(T_a,V_xs)) = c_List_Obutlast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__zip,axiom,
% 164.74/165.06 ! [V_ys,V_xs,V_n,T_b,T_a] : hAPP(hAPP(c_List_Odrop(tc_prod(T_a,T_b)),V_n),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) = hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_b),V_n),V_ys)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__drop,axiom,
% 164.74/165.06 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__0,axiom,
% 164.74/165.06 ! [V_xs,T_a] : hAPP(hAPP(c_List_Odrop(T_a),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_xs) = V_xs ).
% 164.74/165.06
% 164.74/165.06 fof(fact_take__drop,axiom,
% 164.74/165.06 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(hAPP(c_List_Odrop(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_m),hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)),V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__take,axiom,
% 164.74/165.06 ! [V_xs,V_m,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Otake(T_a),V_m),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_m),V_n)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__rotate1,axiom,
% 164.74/165.06 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orotate1(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__drop,axiom,
% 164.74/165.06 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_in__set__dropD,axiom,
% 164.74/165.06 ! [V_xs_2,V_n_2,V_x_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__rotate1,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate1(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__drop__subset,axiom,
% 164.74/165.06 ! [V_xs_2,V_n_2,T_b] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__Nil,axiom,
% 164.74/165.06 ! [V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate1__is__Nil__conv,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(c_List_Orotate1(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 164.74/165.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__drop__subset__set__drop,axiom,
% 164.74/165.06 ! [V_xs_2,T_b,V_m_2,V_n_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_m_2),V_xs_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2)))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__all,axiom,
% 164.74/165.06 ! [V_n,V_xs,T_a] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_n))
% 164.74/165.06 => hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs) = c_List_Olist_ONil(T_a) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__eq__Nil,axiom,
% 164.74/165.06 ! [V_xs_2,V_n_2,T_b] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Odrop(T_b),V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 164.74/165.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_n_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__append,axiom,
% 164.74/165.06 ! [V_ys,V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_ys)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__eq__conv__conj,axiom,
% 164.74/165.06 ! [V_zs_2,V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2) = V_zs_2
% 164.74/165.06 <=> ( V_xs_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2)
% 164.74/165.06 & V_ys_2 = hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),V_zs_2) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__Cons,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_Nat_Onat_Onat__case(tc_List_Olist(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Odrop(T_b)),V_xs_2),V_n_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__Cons_H,axiom,
% 164.74/165.06 ! [V_xs,V_x,T_a,V_n] :
% 164.74/165.06 ( ( V_n = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.06 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) )
% 164.74/165.06 & ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.06 => hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nth__drop,axiom,
% 164.74/165.06 ! [V_xs,T_a,V_i,V_n] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hAPP(hAPP(c_List_Onth(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)),V_i) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_i)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__eq__append__conv__if,axiom,
% 164.74/165.06 ! [V_ys_092_060_094isub_0622_2,V_ys_092_060_094isub_0621_2,V_xs_092_060_094isub_0622_2,V_xs_092_060_094isub_0621_2,T_b] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_092_060_094isub_0621_2),V_xs_092_060_094isub_0622_2) = hAPP(hAPP(c_List_Oappend(T_b),V_ys_092_060_094isub_0621_2),V_ys_092_060_094isub_0622_2)
% 164.74/165.06 <=> ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 164.74/165.06 => ( V_xs_092_060_094isub_0621_2 = hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)
% 164.74/165.06 & V_xs_092_060_094isub_0622_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),V_ys_092_060_094isub_0621_2)),V_ys_092_060_094isub_0622_2) ) )
% 164.74/165.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_092_060_094isub_0621_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)))
% 164.74/165.06 => ( hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2) = V_ys_092_060_094isub_0621_2
% 164.74/165.06 & hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys_092_060_094isub_0621_2)),V_xs_092_060_094isub_0621_2)),V_xs_092_060_094isub_0622_2) = V_ys_092_060_094isub_0622_2 ) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nth__drop_H,axiom,
% 164.74/165.06 ! [V_xs,T_a,V_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate__simps,axiom,
% 164.74/165.06 ! [V_xs,V_x,T_b,T_a] :
% 164.74/165.06 ( hAPP(c_List_Orotate1(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a)
% 164.74/165.06 & hAPP(c_List_Orotate1(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_b),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x),c_List_Olist_ONil(T_b))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__Cons__number__of,axiom,
% 164.74/165.06 ! [V_xs,V_x,T_a,V_v] :
% 164.74/165.06 ( ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.06 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs) )
% 164.74/165.06 & ( hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v) != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.06 => hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_v)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_xs) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_take__add,axiom,
% 164.74/165.06 ! [V_xs,T_a,V_j,V_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_j)),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_j),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate1__length01,axiom,
% 164.74/165.06 ! [V_xs,T_a] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 164.74/165.06 => hAPP(c_List_Orotate1(T_a),V_xs) = V_xs ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_zip__append1,axiom,
% 164.74/165.06 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)),V_zs) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Otake(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_ys),hAPP(hAPP(c_List_Odrop(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_zs))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_zip__append2,axiom,
% 164.74/165.06 ! [V_zs,V_ys,V_xs,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),hAPP(hAPP(c_List_Oappend(T_b),V_ys),V_zs)) = hAPP(hAPP(c_List_Oappend(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_ys)),hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)),V_xs)),V_zs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_id__take__nth__drop,axiom,
% 164.74/165.06 ! [V_xs,T_a,V_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => V_xs = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_i)),V_xs))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_take__hd__drop,axiom,
% 164.74/165.06 ! [V_xs,T_a,V_n] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs))),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_hd__drop__conv__nth,axiom,
% 164.74/165.06 ! [V_n,T_a,V_xs] :
% 164.74/165.06 ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),V_n) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_hd_Osimps,axiom,
% 164.74/165.06 ! [V_xs,V_x,T_a] : hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ).
% 164.74/165.06
% 164.74/165.06 fof(fact_hd__append2,axiom,
% 164.74/165.06 ! [V_ys,T_a,V_xs] :
% 164.74/165.06 ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.06 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_hd__append,axiom,
% 164.74/165.06 ! [V_ys,T_a,V_xs] :
% 164.74/165.06 ( ( V_xs = c_List_Olist_ONil(T_a)
% 164.74/165.06 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_ys) )
% 164.74/165.06 & ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.06 => hAPP(c_List_Ohd(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(c_List_Ohd(T_a),V_xs) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_hd__in__set,axiom,
% 164.74/165.06 ! [T_b,V_xs_2] :
% 164.74/165.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_hd__conv__nth,axiom,
% 164.74/165.06 ! [T_a,V_xs] :
% 164.74/165.06 ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.06 => hAPP(c_List_Ohd(T_a),V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate1__hd__tl,axiom,
% 164.74/165.06 ! [T_a,V_xs] :
% 164.74/165.06 ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.06 => hAPP(c_List_Orotate1(T_a),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),c_List_Olist_ONil(T_a))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_hd__rotate__conv__nth,axiom,
% 164.74/165.06 ! [V_n,T_a,V_xs] :
% 164.74/165.06 ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.06 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(hAPP(c_List_Onth(T_a),V_xs),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__tl,axiom,
% 164.74/165.06 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_tl__drop,axiom,
% 164.74/165.06 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_tl__append2,axiom,
% 164.74/165.06 ! [V_ys,T_a,V_xs] :
% 164.74/165.06 ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.06 => hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Otl(T_a),V_xs)),V_ys) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_tl_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_xs,V_x,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_xs ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__tl,axiom,
% 164.74/165.06 ! [V_xs,T_a] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 164.74/165.06 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__rotate,axiom,
% 164.74/165.06 ! [V_xs_2,V_n_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)))
% 164.74/165.06 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate__add,axiom,
% 164.74/165.06 ! [V_n_2,V_m_2,T_b] : c_List_Orotate(T_b,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_n_2)) = hAPP(c_Fun_Ocomp(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orotate(T_b,V_m_2)),c_List_Orotate(T_b,V_n_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate__rotate,axiom,
% 164.74/165.06 ! [V_xs,V_n,V_m,T_a] : hAPP(c_List_Orotate(T_a,V_m),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m),V_n)),V_xs) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate0,axiom,
% 164.74/165.06 ! [T_b] : c_List_Orotate(T_b,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__rotate,axiom,
% 164.74/165.06 ! [V_xs,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__rotate,axiom,
% 164.74/165.06 ! [V_xs_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_tl_Osimps_I1_J,axiom,
% 164.74/165.06 ! [T_a] : hAPP(c_List_Otl(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate__is__Nil__conv,axiom,
% 164.74/165.06 ! [V_xs_2,V_n_2,T_b] :
% 164.74/165.06 ( hAPP(c_List_Orotate(T_b,V_n_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 164.74/165.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate__def,axiom,
% 164.74/165.06 ! [V_n_2,T_b] : c_List_Orotate(T_b,V_n_2) = hAPP(hAPP(c_Nat_Ocompow(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_n_2),c_List_Orotate1(T_b)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate1__rotate__swap,axiom,
% 164.74/165.06 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) = hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orotate1(T_a),V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_take__tl,axiom,
% 164.74/165.06 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate__conv__mod,axiom,
% 164.74/165.06 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(c_List_Orotate(T_a,c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__Suc,axiom,
% 164.74/165.06 ! [V_xs,V_n,T_a] : hAPP(hAPP(c_List_Odrop(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Odrop(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate__Suc,axiom,
% 164.74/165.06 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(c_List_Orotate1(T_a),hAPP(c_List_Orotate(T_a,V_n),V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_tl__append,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,T_b] : hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = hAPP(c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,hAPP(c_List_Otl(T_b),V_ys_2),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Oappend(T_b)),V_ys_2))),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate__id,axiom,
% 164.74/165.06 ! [V_xs,T_a,V_n] :
% 164.74/165.06 ( c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.06 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate__length01,axiom,
% 164.74/165.06 ! [V_n,V_xs,T_a] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))
% 164.74/165.06 => hAPP(c_List_Orotate(T_a,V_n),V_xs) = V_xs ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__tl,axiom,
% 164.74/165.06 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Otl(T_a),V_xs)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_tl__take,axiom,
% 164.74/165.06 ! [V_xs,V_n,T_a] : hAPP(c_List_Otl(T_a),hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_List_Otl(T_a),V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_take__Suc,axiom,
% 164.74/165.06 ! [V_n,T_a,V_xs] :
% 164.74/165.06 ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.06 => hAPP(hAPP(c_List_Otake(T_a),hAPP(c_Nat_OSuc,V_n)),V_xs) = hAPP(hAPP(c_List_Olist_OCons(T_a),hAPP(c_List_Ohd(T_a),V_xs)),hAPP(hAPP(c_List_Otake(T_a),V_n),hAPP(c_List_Otl(T_a),V_xs))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate__drop__take,axiom,
% 164.74/165.06 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),V_xs) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(hAPP(c_List_Odrop(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)),hAPP(hAPP(c_List_Otake(T_a),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))),V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_fold1__set,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( class_Lattices_Oab__semigroup__idem__mult(T_b)
% 164.74/165.06 => ( V_xs_2 != c_List_Olist_ONil(T_b)
% 164.74/165.06 => hAPP(c_Finite__Set_Ofold1(T_b,c_Groups_Otimes__class_Otimes(T_b)),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Otimes__class_Otimes(T_b),hAPP(c_List_Ohd(T_b),V_xs_2)),hAPP(c_List_Otl(T_b),V_xs_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_lexord__append__rightI,axiom,
% 164.74/165.06 ! [V_r_2,V_x_2,T_b,V_y_2] :
% 164.74/165.06 ( ? [B_b,B_z] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_b),B_z)
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),hAPP(hAPP(c_List_Oappend(T_b),V_x_2),V_y_2))),c_List_Olexord(T_b,V_r_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldl__Nil,axiom,
% 164.74/165.06 ! [V_aa_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_aa_2),c_List_Olist_ONil(T_c)) = V_aa_2 ).
% 164.74/165.06
% 164.74/165.06 fof(fact_start__le__sum,axiom,
% 164.74/165.06 ! [V_ns_2,V_n_2,V_m_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),V_n_2))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_m_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n_2),V_ns_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldl__absorb0,axiom,
% 164.74/165.06 ! [V_zs_2,V_x_2,T_b] :
% 164.74/165.06 ( class_Groups_Omonoid__add(T_b)
% 164.74/165.06 => hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_zs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_zs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldl__assoc,axiom,
% 164.74/165.06 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 164.74/165.06 ( class_Groups_Osemigroup__add(T_b)
% 164.74/165.06 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),V_y_2)),V_zs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_x_2),hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_y_2),V_zs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldl__Cons,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,V_aa_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_aa_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_aa_2),V_x_2)),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldl__append,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_aa_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_aa_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_aa_2),V_xs_2)),V_ys_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsum__foldl,axiom,
% 164.74/165.06 ! [T_b] :
% 164.74/165.06 ( class_Groups_Omonoid__add(T_b)
% 164.74/165.06 => c_List_Omonoid__add__class_Olistsum(T_b) = c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sum__eq__0__conv,axiom,
% 164.74/165.06 ! [V_ns_2,V_m_2] :
% 164.74/165.06 ( hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_ns_2) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.06 <=> ( V_m_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.06 & ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),B_x),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 164.74/165.06 => B_x = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_fun__left__comm__idem_Ofold__set,axiom,
% 164.74/165.06 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( c_Finite__Set_Ofun__left__comm__idem(T_b,T_c,V_f_2)
% 164.74/165.06 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Sup__set__fold,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.74/165.06 => c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Inf__set__fold,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.74/165.06 => c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Sup__fin__set__fold,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( class_Lattices_Olattice(T_b)
% 164.74/165.06 => c_Big__Operators_Olattice__class_OSup__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__sup__class_Osup(T_b),V_x_2),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Inf__fin__set__fold,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( class_Lattices_Olattice(T_b)
% 164.74/165.06 => c_Big__Operators_Olattice__class_OInf__fin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Lattices_Osemilattice__inf__class_Oinf(T_b),V_x_2),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Min__fin__set__fold,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => c_Big__Operators_Olinorder__class_OMin(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Max__fin__set__fold,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => c_Big__Operators_Olinorder__class_OMax(T_b,hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_min__max_OInf__fin__set__fold,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => c_Big__Operators_Olattice_OInf__fin(T_b,c_Orderings_Oord__class_Omin(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omin(T_b),V_x_2),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_min__max_OSup__fin__set__fold,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => c_Big__Operators_Olattice_OSup__fin(T_b,c_Orderings_Oord__class_Omax(T_b),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))) = hAPP(c_List_Ofoldl(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_x_2),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_SUPR__set__fold,axiom,
% 164.74/165.06 ! [V_f_2,V_xs_2,T_c,T_b] :
% 164.74/165.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.74/165.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__sup__class_Osup(T_b)),V_f_2)),c_Orderings_Obot__class_Obot(T_b)),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_INFI__set__fold,axiom,
% 164.74/165.06 ! [V_f_2,V_xs_2,T_c,T_b] :
% 164.74/165.06 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.74/165.06 => hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,T_b),hAPP(c_List_Oset(T_c),V_xs_2)),V_f_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Lattices_Osemilattice__inf__class_Oinf(T_b)),V_f_2)),c_Orderings_Otop__class_Otop(T_b)),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_elem__le__sum,axiom,
% 164.74/165.06 ! [V_ns_2,V_n_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_n_2),hAPP(c_List_Oset(tc_Nat_Onat),V_ns_2)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),hAPP(c_List_Ofoldl(tc_Nat_Onat,tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),V_ns_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__list__of__set__insert,axiom,
% 164.74/165.06 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.06 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),V_A_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),V_A_2),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_lexord__Nil__left,axiom,
% 164.74/165.06 ! [V_r_2,V_y_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_y_2)),c_List_Olexord(T_b,V_r_2)))
% 164.74/165.06 <=> ? [B_a,B_x] : V_y_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_x) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_insort__key_Osimps_I1_J,axiom,
% 164.74/165.06 ! [V_x_2,V_f_2,T_b,T_c] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_c)
% 164.74/165.06 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_insort__key_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_ys_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 164.74/165.06 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) )
% 164.74/165.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 164.74/165.06 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),V_ys_2)) = hAPP(hAPP(c_List_Olist_OCons(T_c),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_ys_2)) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_fun__left__comm__insort,axiom,
% 164.74/165.06 ! [T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => c_Finite__Set_Ofun__left__comm(T_b,tc_List_Olist(T_b),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_insort__left__comm,axiom,
% 164.74/165.06 ! [V_xs_2,V_y_2,V_x_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_insort__key__left__comm,axiom,
% 164.74/165.06 ! [V_xs_2,T_c,V_y_2,V_x_2,V_f_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( hAPP(V_f_2,V_x_2) != hAPP(V_f_2,V_y_2)
% 164.74/165.06 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_y_2),V_xs_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__insort,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_c)
% 164.74/165.06 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__insort,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_c)
% 164.74/165.06 => hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_remove1__insort,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => c_List_Oremove1(T_b,V_x_2,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2)) = V_xs_2 ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_insort__not__Nil,axiom,
% 164.74/165.06 ! [V_xs_2,V_aa_2,V_f_2,T_b,T_c] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_c)
% 164.74/165.06 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_aa_2),V_xs_2) != c_List_Olist_ONil(T_b) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__insort,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_c)
% 164.74/165.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),V_xs_2)))
% 164.74/165.06 <=> ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 & hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_insort__insert__insort__key,axiom,
% 164.74/165.06 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 164.74/165.06 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_insort__insert__insort,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__insort__insert,axiom,
% 164.74/165.06 ! [V_x_2,V_f_2,V_xs_2,T_b,T_c] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_c)
% 164.74/165.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.06 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_c,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_insort__insert__triv,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__insort__insert,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_insort__insert__key__triv,axiom,
% 164.74/165.06 ! [V_xs_2,T_c,V_x_2,V_f_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),hAPP(V_f_2,V_x_2)),hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2))))
% 164.74/165.06 => c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2) = V_xs_2 ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_last__list__update,axiom,
% 164.74/165.06 ! [V_x,V_k,T_a,V_xs] :
% 164.74/165.06 ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.06 => ( ( V_k = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 164.74/165.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = V_x )
% 164.74/165.06 & ( V_k != hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))
% 164.74/165.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_x)) = c_List_Olast(T_a,V_xs) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_last__conv__nth,axiom,
% 164.74/165.06 ! [T_a,V_xs] :
% 164.74/165.06 ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.06 => c_List_Olast(T_a,V_xs) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Groups_Oone__class_Oone(tc_Nat_Onat))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_last__appendL,axiom,
% 164.74/165.06 ! [V_xs,T_a,V_ys] :
% 164.74/165.06 ( V_ys = c_List_Olist_ONil(T_a)
% 164.74/165.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_last__appendR,axiom,
% 164.74/165.06 ! [V_xs,T_a,V_ys] :
% 164.74/165.06 ( V_ys != c_List_Olist_ONil(T_a)
% 164.74/165.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_last__append,axiom,
% 164.74/165.06 ! [V_xs,T_a,V_ys] :
% 164.74/165.06 ( ( V_ys = c_List_Olist_ONil(T_a)
% 164.74/165.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_xs) )
% 164.74/165.06 & ( V_ys != c_List_Olist_ONil(T_a)
% 164.74/165.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = c_List_Olast(T_a,V_ys) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_last__ConsL,axiom,
% 164.74/165.06 ! [V_x,T_a,V_xs] :
% 164.74/165.06 ( V_xs = c_List_Olist_ONil(T_a)
% 164.74/165.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_last__ConsR,axiom,
% 164.74/165.06 ! [V_x,T_a,V_xs] :
% 164.74/165.06 ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_last_Osimps,axiom,
% 164.74/165.06 ! [V_x,T_a,V_xs] :
% 164.74/165.06 ( ( V_xs = c_List_Olist_ONil(T_a)
% 164.74/165.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = V_x )
% 164.74/165.06 & ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = c_List_Olast(T_a,V_xs) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_last__in__set,axiom,
% 164.74/165.06 ! [T_b,V_as_2] :
% 164.74/165.06 ( V_as_2 != c_List_Olist_ONil(T_b)
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_member(T_b),c_List_Olast(T_b,V_as_2)),hAPP(c_List_Oset(T_b),V_as_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_last__snoc,axiom,
% 164.74/165.06 ! [V_x,V_xs,T_a] : c_List_Olast(T_a,hAPP(hAPP(c_List_Oappend(T_a),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)))) = V_x ).
% 164.74/165.06
% 164.74/165.06 fof(fact_last__drop,axiom,
% 164.74/165.06 ! [V_xs,T_a,V_n] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => c_List_Olast(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__butlast__last__id,axiom,
% 164.74/165.06 ! [T_a,V_xs] :
% 164.74/165.06 ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.06 => hAPP(hAPP(c_List_Oappend(T_a),c_List_Obutlast(T_a,V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),c_List_Olast(T_a,V_xs)),c_List_Olist_ONil(T_a))) = V_xs ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_snoc__eq__iff__butlast,axiom,
% 164.74/165.06 ! [V_ys_2,V_x_2,V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))) = V_ys_2
% 164.74/165.06 <=> ( V_ys_2 != c_List_Olist_ONil(T_b)
% 164.74/165.06 & c_List_Obutlast(T_b,V_ys_2) = V_xs_2
% 164.74/165.06 & c_List_Olast(T_b,V_ys_2) = V_x_2 ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_lists_Osimps,axiom,
% 164.74/165.06 ! [V_A_2,V_aa_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_aa_2),c_List_Olists(T_b,V_A_2)))
% 164.74/165.06 <=> ( V_aa_2 = c_List_Olist_ONil(T_b)
% 164.74/165.06 | ? [B_a,B_l] :
% 164.74/165.06 ( V_aa_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_a),B_l)
% 164.74/165.06 & hBOOL(hAPP(hAPP(c_member(T_b),B_a),V_A_2))
% 164.74/165.06 & hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_l),c_List_Olists(T_b,V_A_2))) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_select__weigth__select,axiom,
% 164.74/165.06 ! [T_b,V_xs_2] :
% 164.74/165.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 164.74/165.06 => c_Random_Oselect__weight(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)) = c_Random_Oselect(T_b,V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_inj__mapI,axiom,
% 164.74/165.06 ! [V_f_2,T_c,T_b] :
% 164.74/165.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.74/165.06 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_last__map,axiom,
% 164.74/165.06 ! [V_f_2,T_c,T_b,V_xs_2] :
% 164.74/165.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 164.74/165.06 => c_List_Olast(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,c_List_Olast(T_b,V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldl__map,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_d,V_aa_2,V_g_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_g_2,V_aa_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_aa_2),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate__map,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(c_List_Orotate(T_b,V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orotate(T_c,V_n_2),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__tl,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Otl(T_c),V_xs_2)) = hAPP(c_List_Otl(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_zip__same__conv__map,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_b),V_xs_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,tc_prod(T_b,T_b)),hAPP(hAPP(c_COMBS(T_b,T_b,tc_prod(T_b,T_b)),c_Product__Type_OPair(T_b,T_b)),c_COMBI(T_b))),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_zip__map2,axiom,
% 164.74/165.06 ! [V_ys_2,V_f_2,T_d,V_xs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_d),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_d,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_prod(T_b,T_c))),T_b),c_COMBB(T_c,tc_prod(T_b,T_c),T_d)),c_Product__Type_OPair(T_b,T_c))),V_f_2))),hAPP(hAPP(c_List_Ozip(T_b,T_d),V_xs_2),V_ys_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__zip__map2,axiom,
% 164.74/165.06 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),V_xs_2),hAPP(hAPP(c_List_Omap(T_e,T_d),V_g_2),V_ys_2))) = hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_e),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_e,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_e,tc_prod(T_c,T_d)),tc_fun(T_e,T_b),T_c),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_e),V_f_2)),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(tc_fun(T_e,T_d),tc_fun(T_e,tc_prod(T_c,T_d))),T_c),c_COMBB(T_d,tc_prod(T_c,T_d),T_e)),c_Product__Type_OPair(T_c,T_d))),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_c,T_e),V_xs_2),V_ys_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__zip__map,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_g_2,T_e,V_f_2,T_b,T_d,T_c] : hAPP(hAPP(c_List_Omap(tc_prod(T_c,T_d),T_b),V_f_2),hAPP(hAPP(c_List_Ozip(T_c,T_d),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_xs_2)),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_e,T_d),T_b),hAPP(c_Product__Type_Oprod_Oprod__case(T_e,T_d,T_b),hAPP(hAPP(c_COMBB(tc_fun(T_d,tc_prod(T_c,T_d)),tc_fun(T_d,T_b),T_e),hAPP(c_COMBB(tc_prod(T_c,T_d),T_b,T_d),V_f_2)),hAPP(hAPP(c_COMBB(T_c,tc_fun(T_d,tc_prod(T_c,T_d)),T_e),c_Product__Type_OPair(T_c,T_d)),V_g_2)))),hAPP(hAPP(c_List_Ozip(T_e,T_d),V_xs_2),V_ys_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_zip__map1,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),V_ys_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_c),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_c,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),hAPP(hAPP(c_List_Ozip(T_d,T_c),V_xs_2),V_ys_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_zip__map__map,axiom,
% 164.74/165.06 ! [V_ys_2,V_g_2,T_e,V_xs_2,V_f_2,T_d,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_e,T_c),V_g_2),V_ys_2)) = hAPP(hAPP(c_List_Omap(tc_prod(T_d,T_e),tc_prod(T_b,T_c)),hAPP(c_Product__Type_Oprod_Oprod__case(T_d,T_e,tc_prod(T_b,T_c)),hAPP(hAPP(c_COMBC(T_d,tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(tc_fun(T_e,T_c),tc_fun(T_e,tc_prod(T_b,T_c))),T_d),c_COMBB(T_c,tc_prod(T_b,T_c),T_e)),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_prod(T_b,T_c)),T_d),c_Product__Type_OPair(T_b,T_c)),V_f_2))),V_g_2))),hAPP(hAPP(c_List_Ozip(T_d,T_e),V_xs_2),V_ys_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__is__Nil__conv,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_b,T_c] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 164.74/165.06 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map_Osimps_I1_J,axiom,
% 164.74/165.06 ! [V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Nil__is__map__conv,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist_ONil(T_b) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)
% 164.74/165.06 <=> V_xs_2 = c_List_Olist_ONil(T_c) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__update,axiom,
% 164.74/165.06 ! [V_y_2,V_k_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist__update(T_c,V_xs_2),V_k_2),V_y_2)) = hAPP(hAPP(c_List_Olist__update(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),V_k_2),hAPP(V_f_2,V_y_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsum__subtractf,axiom,
% 164.74/165.06 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( class_Groups_Oab__group__add(T_b)
% 164.74/165.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Ominus__class_Ominus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsum__0,axiom,
% 164.74/165.06 ! [V_xs_2,T_c,T_b] :
% 164.74/165.06 ( class_Groups_Omonoid__add(T_b)
% 164.74/165.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),c_Groups_Ozero__class_Ozero(T_b))),V_xs_2)) = c_Groups_Ozero__class_Ozero(T_b) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsum__const__mult,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,V_ca_2,T_c,T_b] :
% 164.74/165.06 ( class_Rings_Osemiring__0(T_b)
% 164.74/165.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,T_b,T_c),hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_2)),V_f_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),V_ca_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))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsum__mult__const,axiom,
% 164.74/165.06 ! [V_xs_2,V_ca_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( class_Rings_Osemiring__0(T_b)
% 164.74/165.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBC(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Otimes__class_Otimes(T_b)),V_f_2)),V_ca_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_ca_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsum__addf,axiom,
% 164.74/165.06 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(hAPP(c_COMBS(T_c,T_b,T_b),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,T_b),T_c),c_Groups_Oplus__class_Oplus(T_b)),V_f_2)),V_g_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__eq__conv,axiom,
% 164.74/165.06 ! [V_g_2,V_xs_2,V_f_2,T_b,T_c] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)
% 164.74/165.06 <=> ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_c),B_x),hAPP(c_List_Oset(T_c),V_xs_2)))
% 164.74/165.06 => hAPP(V_f_2,B_x) = hAPP(V_g_2,B_x) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__map,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__eq__imp__length__eq,axiom,
% 164.74/165.06 ! [V_ys_2,V_g_2,T_d,V_xs_2,V_f_2,T_b,T_c] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_d,T_b),V_g_2),V_ys_2)
% 164.74/165.06 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_d)),V_ys_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_take__map,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Otake(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Otake(T_c),V_n_2),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__injective,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 164.74/165.06 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_c,tc_HOL_Obool)))
% 164.74/165.06 => V_xs_2 = V_ys_2 ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_inj__map__eq__map,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.74/165.06 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 164.74/165.06 <=> V_xs_2 = V_ys_2 ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__ident,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)),V_xs_2) = V_xs_2 ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__butlast,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Obutlast(T_c,V_xs_2)) = c_List_Obutlast(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__map,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(c_Set_Oimage(T_c,T_b,V_f_2),hAPP(c_List_Oset(T_c),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__fun__upd,axiom,
% 164.74/165.06 ! [V_v_2,V_f_2,T_c,V_xs_2,V_y_2,T_b] :
% 164.74/165.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => hAPP(hAPP(c_List_Omap(T_b,T_c),c_Fun_Ofun__upd(T_b,T_c,V_f_2,V_y_2,V_v_2)),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nth__map,axiom,
% 164.74/165.06 ! [V_f_2,T_c,V_xs_2,T_b,V_n_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.06 => hAPP(hAPP(c_List_Onth(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)),V_n_2) = hAPP(V_f_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_inj__on__map__eq__map,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 164.74/165.06 => ( hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)
% 164.74/165.06 <=> V_xs_2 = V_ys_2 ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__inj__on,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)
% 164.74/165.06 => ( c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_HOL_Obool)),hAPP(c_List_Oset(T_c),V_xs_2)),hAPP(c_List_Oset(T_c),V_ys_2)))
% 164.74/165.06 => V_xs_2 = V_ys_2 ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__append,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Oappend(T_c),V_xs_2),V_ys_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_ys_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsum__abs,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( class_Groups_Oordered__ab__group__add__abs(T_b)
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(c_Groups_Oabs__class_Oabs(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_b,T_b),c_Groups_Oabs__class_Oabs(T_b)),V_xs_2)))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__map,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 164.74/165.06 <=> ( hBOOL(hAPP(c_List_Odistinct(T_c),V_xs_2))
% 164.74/165.06 & c_Fun_Oinj__on(T_c,T_b,V_f_2,hAPP(c_List_Oset(T_c),V_xs_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_hd__map,axiom,
% 164.74/165.06 ! [V_f_2,T_c,T_b,V_xs_2] :
% 164.74/165.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 164.74/165.06 => hAPP(c_List_Ohd(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(V_f_2,hAPP(c_List_Ohd(T_b),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__map,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,V_n_2,T_b] : hAPP(hAPP(c_List_Odrop(T_b),V_n_2),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Odrop(T_c),V_n_2),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_uminus__listsum__map,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( class_Groups_Oab__group__add(T_b)
% 164.74/165.06 => hAPP(c_Groups_Ouminus__class_Ouminus(T_b),hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_Fun_Ocomp(T_b,T_b,T_c,c_Groups_Ouminus__class_Ouminus(T_b)),V_f_2)),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__size__map,axiom,
% 164.74/165.06 ! [V_xs_2,V_g_2,T_c,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,hAPP(hAPP(c_List_Omap(T_c,T_b),V_g_2),V_xs_2)) = c_List_Olist_Olist__size(T_c,hAPP(c_Fun_Ocomp(T_b,tc_Nat_Onat,T_c,V_f_2),V_g_2),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__map,axiom,
% 164.74/165.06 ! [V_xs_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_List_Omap_Ocompositionality,axiom,
% 164.74/165.06 ! [V_list_2,V_g_2,T_d,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Omap(T_d,T_c),V_g_2),V_list_2)) = hAPP(hAPP(c_List_Omap(T_d,T_b),hAPP(c_Fun_Ocomp(T_c,T_b,T_d,V_f_2),V_g_2)),V_list_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__comp__map,axiom,
% 164.74/165.06 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_List_Omap_Ocomp,axiom,
% 164.74/165.06 ! [V_g_2,V_f_2,T_b,T_c,T_d] : hAPP(c_Fun_Ocomp(tc_List_Olist(T_d),tc_List_Olist(T_c),tc_List_Olist(T_b),hAPP(c_List_Omap(T_d,T_c),V_f_2)),hAPP(c_List_Omap(T_b,T_d),V_g_2)) = hAPP(c_List_Omap(T_b,T_c),hAPP(c_Fun_Ocomp(T_d,T_c,T_b,V_f_2),V_g_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_List_Omap_Oid,axiom,
% 164.74/165.06 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_Fun_Oid(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_List_Omap_Oidentity,axiom,
% 164.74/165.06 ! [T_b] : hAPP(c_List_Omap(T_b,T_b),c_COMBI(T_b)) = c_Fun_Oid(tc_List_Olist(T_b)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_inj__map,axiom,
% 164.74/165.06 ! [V_f_2,T_c,T_b] :
% 164.74/165.06 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 164.74/165.06 <=> c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_inj__mapD,axiom,
% 164.74/165.06 ! [V_f_2,T_c,T_b] :
% 164.74/165.06 ( c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Orderings_Otop__class_Otop(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)))
% 164.74/165.06 => c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsum__distinct__conv__setsum__set,axiom,
% 164.74/165.06 ! [V_f_2,V_xs_2,T_b,T_c] :
% 164.74/165.06 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.74/165.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),hAPP(c_List_Oset(T_b),V_xs_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsum__triv,axiom,
% 164.74/165.06 ! [V_xs_2,V_r_2,T_c,T_b] :
% 164.74/165.06 ( class_Rings_Osemiring__1(T_b)
% 164.74/165.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_r_2)),V_xs_2)) = hAPP(hAPP(c_Groups_Otimes__class_Otimes(T_b),hAPP(c_Nat_Osemiring__1__class_Oof__nat(T_b),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_xs_2))),V_r_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_product_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_x_2,T_c,T_b] : c_Enum_Oproduct(T_b,T_c,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2),V_ys_2) = hAPP(hAPP(c_List_Oappend(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Omap(T_c,tc_prod(T_b,T_c)),hAPP(c_Product__Type_OPair(T_b,T_c),V_x_2)),V_ys_2)),c_Enum_Oproduct(T_b,T_c,V_xs_2,V_ys_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsum__map__remove1,axiom,
% 164.74/165.06 ! [V_f_2,V_xs_2,V_x_2,T_b,T_c] :
% 164.74/165.06 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_c),hAPP(V_f_2,V_x_2)),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_List_Oremove1(T_b,V_x_2,V_xs_2)))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_inj__on__mapI,axiom,
% 164.74/165.06 ! [V_A_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_Oimage(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),c_List_Oset(T_b)),V_A_2)))
% 164.74/165.06 => c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_c),hAPP(c_List_Omap(T_b,T_c),V_f_2),V_A_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Nitpick_Osetsum_H__def,axiom,
% 164.74/165.06 ! [V_f_2,V_A_2,T_b,T_c] :
% 164.74/165.06 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.74/165.06 => ( ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.06 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),c_Hilbert__Choice_OEps(tc_List_Olist(T_b),hAPP(hAPP(c_COMBS(tc_List_Olist(T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_List_Olist(T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_List_Oset(T_b))),V_A_2))),c_List_Odistinct(T_b))))) )
% 164.74/165.06 & ( ~ hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.06 => c_Nitpick_Osetsum_H(T_b,T_c,V_f_2,V_A_2) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_pick__same,axiom,
% 164.74/165.06 ! [V_xs_2,T_b,V_l_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_l_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.06 => hAPP(c_Random_Opick(T_b,hAPP(hAPP(c_List_Omap(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,T_b)),hAPP(c_Product__Type_OPair(tc_Code__Numeral_Ocode__numeral,T_b),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),V_xs_2)),hAPP(c_Code__Numeral_Oof__nat,V_l_2)) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_l_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__fst__zip,axiom,
% 164.74/165.06 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 164.74/165.06 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_xs_2 ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sublists_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] : c_Enum_Osublists(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_HOL_OLet(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_Enum_Osublists(T_b,V_xs_2)),hAPP(hAPP(c_COMBS(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_List_Olist(tc_List_Olist(T_b)),tc_fun(tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(tc_List_Olist(T_b))),c_List_Oappend(tc_List_Olist(T_b))),hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Olist_OCons(T_b),V_x_2)))),c_COMBI(tc_List_Olist(tc_List_Olist(T_b))))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__snd__zip,axiom,
% 164.74/165.06 ! [V_ys_2,T_c,V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 164.74/165.06 => hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) = V_ys_2 ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_number__of__code__numeral__def,axiom,
% 164.74/165.06 c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Code__Numeral_Ocode__numeral,tc_Int_Oint,c_Code__Numeral_Oof__nat),c_Int_Onat) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_less__code__numeral__code,axiom,
% 164.74/165.06 ! [V_m_2,V_n_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 164.74/165.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_code__numeral_Oof__nat__inject,axiom,
% 164.74/165.06 ! [V_y_2,V_x_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_x_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 164.74/165.06 => ( hAPP(c_Code__Numeral_Oof__nat,V_x_2) = hAPP(c_Code__Numeral_Oof__nat,V_y_2)
% 164.74/165.06 <=> V_x_2 = V_y_2 ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_one__code__numeral__def,axiom,
% 164.74/165.06 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Oone__class_Oone(tc_Nat_Onat)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Code__Numeral_Oof__nat__inject,axiom,
% 164.74/165.06 ! [V_m_2,V_n_2] :
% 164.74/165.06 ( hAPP(c_Code__Numeral_Oof__nat,V_n_2) = hAPP(c_Code__Numeral_Oof__nat,V_m_2)
% 164.74/165.06 <=> V_n_2 = V_m_2 ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_times__code__numeral__code,axiom,
% 164.74/165.06 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),V_n),V_m)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Code__Numeral_Oof__nat__code,axiom,
% 164.74/165.06 c_Code__Numeral_Oof__nat = c_Nat_Osemiring__1__class_Oof__nat(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_zero__code__numeral__def,axiom,
% 164.74/165.06 c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_zip__map__fst__snd,axiom,
% 164.74/165.06 ! [V_zs_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2)),hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2)) = V_zs_2 ).
% 164.74/165.06
% 164.74/165.06 fof(fact_plus__code__numeral__code,axiom,
% 164.74/165.06 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_less__eq__code__numeral__code,axiom,
% 164.74/165.06 ! [V_m_2,V_n_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),hAPP(c_Code__Numeral_Oof__nat,V_n_2)),hAPP(c_Code__Numeral_Oof__nat,V_m_2)))
% 164.74/165.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_n_2),V_m_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__set__sublists,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.06 => hBOOL(hAPP(c_List_Odistinct(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),c_List_Oset(T_b)),c_Enum_Osublists(T_b,V_xs_2)))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_pick__member,axiom,
% 164.74/165.06 ! [V_xs_2,T_b,V_i_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_i_2),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Random_Opick(T_b,V_xs_2),V_i_2)),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_zip__eq__conv,axiom,
% 164.74/165.06 ! [V_zs_2,V_ys_2,T_c,V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 164.74/165.06 => ( hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2) = V_zs_2
% 164.74/165.06 <=> ( hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_b),c_Product__Type_Ofst(T_b,T_c)),V_zs_2) = V_xs_2
% 164.74/165.06 & hAPP(hAPP(c_List_Omap(tc_prod(T_b,T_c),T_c),c_Product__Type_Osnd(T_b,T_c)),V_zs_2) = V_ys_2 ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__size__conv__listsum,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_b] : c_List_Olist_Olist__size(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(T_b,tc_Nat_Onat),V_f_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_code__numeral__not__eq__zero,axiom,
% 164.74/165.06 ! [V_i_2] :
% 164.74/165.06 ( V_i_2 != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 164.74/165.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_i_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_interv__listsum__conv__setsum__set__int,axiom,
% 164.74/165.06 ! [V_l_2,V_k_2,V_f_2,T_b] :
% 164.74/165.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_k_2,V_l_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_k_2,V_l_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_setsum__set__upto__conv__listsum__int,axiom,
% 164.74/165.06 ! [V_j_2,V_i_2,V_f_2,T_b] :
% 164.74/165.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Int_Oint,T_b),V_f_2),hAPP(c_List_Oset(tc_Int_Oint),c_List_Oupto(V_i_2,V_j_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Int_Oint,T_b),V_f_2),c_List_Oupto(V_i_2,V_j_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_select__weight__member,axiom,
% 164.74/165.06 ! [V_s_2,V_xs_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)),hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2))))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_member(T_b),hAPP(c_Product__Type_Ofst(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_Random_Oselect__weight(T_b,V_xs_2),V_s_2))),hAPP(c_List_Oset(T_b),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),T_b),c_Product__Type_Osnd(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_select__weight__def,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_List_Omonoid__add__class_Olistsum(tc_Code__Numeral_Ocode__numeral),hAPP(hAPP(c_List_Omap(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),tc_Code__Numeral_Ocode__numeral),c_Product__Type_Ofst(tc_Code__Numeral_Ocode__numeral,T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Opick(T_b,V_xs_2))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_select__def,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : c_Random_Oselect(T_b,V_xs_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_Code__Numeral_Ocode__numeral,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random_Orange(hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_Code__Numeral_Ocode__numeral),c_Product__Type_OPair(T_b,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,T_b,tc_Code__Numeral_Ocode__numeral),hAPP(c_List_Onth(T_b),V_xs_2)),c_Code__Numeral_Onat__of))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_subtract__code__numeral__code,axiom,
% 164.74/165.06 ! [V_m,V_n] : hAPP(hAPP(c_Code__Numeral_Osubtract__code__numeral,hAPP(c_Code__Numeral_Oof__nat,V_n)),hAPP(c_Code__Numeral_Oof__nat,V_m)) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),V_m)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nat__of__inverse,axiom,
% 164.74/165.06 ! [V_x] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_x)) = V_x ).
% 164.74/165.06
% 164.74/165.06 fof(fact_of__nat__nat__of,axiom,
% 164.74/165.06 ! [V_k] : hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Code__Numeral_Onat__of,V_k)) = V_k ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nat__of__of__nat,axiom,
% 164.74/165.06 ! [V_n] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_n)) = V_n ).
% 164.74/165.06
% 164.74/165.06 fof(fact_times__code__numeral__def,axiom,
% 164.74/165.06 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_type__definition__code__numeral,axiom,
% 164.74/165.06 c_Typedef_Otype__definition(tc_Code__Numeral_Ocode__numeral,tc_Nat_Onat,c_Code__Numeral_Onat__of,c_Code__Numeral_Oof__nat,c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nat__of,axiom,
% 164.74/165.06 ! [V_x_2] : hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_x_2)),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool)))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_less__code__numeral__def,axiom,
% 164.74/165.06 ! [V_m_2,V_n_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 164.74/165.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Code__Numeral_Onat__of__inject,axiom,
% 164.74/165.06 ! [V_l_2,V_k_2] :
% 164.74/165.06 ( hAPP(c_Code__Numeral_Onat__of,V_k_2) = hAPP(c_Code__Numeral_Onat__of,V_l_2)
% 164.74/165.06 <=> V_k_2 = V_l_2 ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_code__numeral_Onat__of__inject,axiom,
% 164.74/165.06 ! [V_y_2,V_x_2] :
% 164.74/165.06 ( hAPP(c_Code__Numeral_Onat__of,V_x_2) = hAPP(c_Code__Numeral_Onat__of,V_y_2)
% 164.74/165.06 <=> V_x_2 = V_y_2 ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nat__of__number,axiom,
% 164.74/165.06 ! [V_k] : hAPP(c_Code__Numeral_Onat__of,hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),V_k)) = hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_k) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_int__of__def,axiom,
% 164.74/165.06 c_Code__Numeral_Oint__of = hAPP(c_Fun_Ocomp(tc_Nat_Onat,tc_Int_Oint,tc_Code__Numeral_Ocode__numeral,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),c_Code__Numeral_Onat__of) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_less__eq__code__numeral__def,axiom,
% 164.74/165.06 ! [V_m_2,V_n_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_n_2),V_m_2))
% 164.74/165.06 <=> hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n_2)),hAPP(c_Code__Numeral_Onat__of,V_m_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nat__of__code,axiom,
% 164.74/165.06 ! [V_i] : hAPP(c_Code__Numeral_Onat__of,V_i) = c_Code__Numeral_Onat__of__aux(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nat__of__aux__def,axiom,
% 164.74/165.06 ! [V_n,V_i] : c_Code__Numeral_Onat__of__aux(V_i,V_n) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_i)),V_n) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Suc__code__numeral__def,axiom,
% 164.74/165.06 ! [V_k] : c_Code__Numeral_OSuc__code__numeral(V_k) = hAPP(c_Code__Numeral_Oof__nat,hAPP(c_Nat_OSuc,hAPP(c_Code__Numeral_Onat__of,V_k))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_minus__code__numeral__def,axiom,
% 164.74/165.06 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_of__nat__inverse,axiom,
% 164.74/165.06 ! [V_y_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_Nat_Onat),V_y_2),c_Orderings_Otop__class_Otop(tc_fun(tc_Nat_Onat,tc_HOL_Obool))))
% 164.74/165.06 => hAPP(c_Code__Numeral_Onat__of,hAPP(c_Code__Numeral_Oof__nat,V_y_2)) = V_y_2 ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_plus__code__numeral__def,axiom,
% 164.74/165.06 ! [V_m,V_n] : hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_div__code__numeral__def,axiom,
% 164.74/165.06 ! [V_m,V_n] : hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Code__Numeral_Ocode__numeral),V_n),V_m) = hAPP(c_Code__Numeral_Oof__nat,hAPP(hAPP(c_Divides_Odiv__class_Odiv(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_n)),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_subtract__code__numeral__def,axiom,
% 164.74/165.06 c_Code__Numeral_Osubtract__code__numeral = c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_minus__code__numeral__code,axiom,
% 164.74/165.06 ! [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) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_mod__code__numeral__def,axiom,
% 164.74/165.06 ! [V_m,V_n] : c_Divides_Odiv__class_Omod(tc_Code__Numeral_Ocode__numeral,V_n,V_m) = hAPP(c_Code__Numeral_Oof__nat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(c_Code__Numeral_Onat__of,V_n),hAPP(c_Code__Numeral_Onat__of,V_m))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_code__numeral__decr,axiom,
% 164.74/165.06 ! [V_k] :
% 164.74/165.06 ( V_k != hAPP(c_Code__Numeral_Oof__nat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Code__Numeral_Onat__of,V_k)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_Code__Numeral_Onat__of,V_k))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsum__mono,axiom,
% 164.74/165.06 ! [V_g_2,V_f_2,V_xs_2,T_b,T_c] :
% 164.74/165.06 ( ( class_Groups_Omonoid__add(T_c)
% 164.74/165.06 & class_Groups_Oordered__ab__semigroup__add(T_c) )
% 164.74/165.06 => ( ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,B_x)),hAPP(V_g_2,B_x))) )
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))),hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_g_2),V_xs_2)))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_New__DSequence_Opos__not__seq__def,axiom,
% 164.74/165.06 ! [V_i_2,V_xq_2] : hAPP(c_New__DSequence_Opos__not__seq(V_xq_2),V_i_2) = c_Lazy__Sequence_Ohb__not__seq(hAPP(V_xq_2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Code__Numeral_Ocode__numeral),hAPP(c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral),c_Int_OBit1(c_Int_OBit1(c_Int_OPls)))),V_i_2))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_partition__set,axiom,
% 164.74/165.06 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 164.74/165.06 ( c_List_Opartition(T_b,V_Pa_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)
% 164.74/165.06 => hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_yes_2)),hAPP(c_List_Oset(T_b),V_no_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_lists__Int__eq,axiom,
% 164.74/165.06 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_A_2))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_List_Olist(T_b))),c_List_Olists(T_b,V_B_2))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsp_ONil,axiom,
% 164.74/165.06 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsp_Oequations_I1_J,axiom,
% 164.74/165.06 ! [V_A_2,T_b] : hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),c_List_Olist_ONil(T_b))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_in__listsp__conv__set,axiom,
% 164.74/165.06 ! [V_xs_2,V_A_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 164.74/165.06 <=> ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => hBOOL(hAPP(V_A_2,B_x)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsp__inf__eq,axiom,
% 164.74/165.06 ! [V_B_2,V_A_2,T_b] : c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsp__infI,axiom,
% 164.74/165.06 ! [V_B_2,V_l_2,V_A_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_l_2))
% 164.74/165.06 => ( hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_l_2))
% 164.74/165.06 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2)),V_l_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsp__conj__eq,axiom,
% 164.74/165.06 ! [V_x_2,V_B_2,V_A_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),V_A_2)),V_B_2)),V_x_2))
% 164.74/165.06 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_x_2))
% 164.74/165.06 & hBOOL(hAPP(c_List_Olistsp(T_b,V_B_2),V_x_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsp_Oequations_I2_J,axiom,
% 164.74/165.06 ! [V_a2_2,V_a1_2,V_A_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_a1_2),V_a2_2)))
% 164.74/165.06 <=> ( hBOOL(hAPP(V_A_2,V_a1_2))
% 164.74/165.06 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_a2_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_append__in__listsp__conv,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_A_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)))
% 164.74/165.06 <=> ( hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_xs_2))
% 164.74/165.06 & hBOOL(hAPP(c_List_Olistsp(T_b,V_A_2),V_ys_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsp__mono,axiom,
% 164.74/165.06 ! [V_B_2,V_A_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),c_List_Olistsp(T_b,V_A_2)),c_List_Olistsp(T_b,V_B_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_partition__P,axiom,
% 164.74/165.06 ! [V_no_2,V_yes_2,V_xs_2,V_Pa_2,T_b] :
% 164.74/165.06 ( c_List_Opartition(T_b,V_Pa_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)
% 164.74/165.06 => ( ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_yes_2)))
% 164.74/165.06 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.74/165.06 & ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_no_2)))
% 164.74/165.06 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_partition_Osimps_I1_J,axiom,
% 164.74/165.06 ! [V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_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)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsp__lists__eq,axiom,
% 164.74/165.06 ! [V_x_2,V_A_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),V_x_2))
% 164.74/165.06 <=> hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_x_2),c_List_Olists(T_b,V_A_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_partition_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,V_Pa_2,T_b] : c_List_Opartition(T_b,V_Pa_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_Pa_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_Pa_2,V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_lists__IntI,axiom,
% 164.74/165.06 ! [V_B_2,V_A_2,V_l_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_A_2)))
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),V_l_2),c_List_Olists(T_b,V_B_2)))
% 164.74/165.06 => hBOOL(hAPP(c_List_Olistsp(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_B_2))),V_l_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__def,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 164.74/165.06 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 164.74/165.06 & ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_all__nth__imp__all__set,axiom,
% 164.74/165.06 ! [V_x_2,V_Pa_2,V_xs_2,T_b] :
% 164.74/165.06 ( ! [B_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.06 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__map1,axiom,
% 164.74/165.06 ! [V_bs_2,V_as_2,V_f_2,T_d,V_Pa_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Omap(T_d,T_b),V_f_2),V_as_2),V_bs_2)
% 164.74/165.06 <=> c_List_Olist__all2(T_d,T_c,hAPP(hAPP(c_COMBB(T_b,tc_fun(T_c,tc_HOL_Obool),T_d),V_Pa_2),V_f_2),V_as_2,V_bs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__map2,axiom,
% 164.74/165.06 ! [V_bs_2,V_f_2,T_d,V_as_2,V_Pa_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,hAPP(hAPP(c_List_Omap(T_d,T_c),V_f_2),V_bs_2))
% 164.74/165.06 <=> c_List_Olist__all2(T_b,T_d,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(tc_fun(T_d,T_c),tc_fun(T_d,tc_HOL_Obool)),T_b),c_COMBB(T_c,tc_HOL_Obool,T_d)),V_Pa_2)),V_f_2),V_as_2,V_bs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__append,axiom,
% 164.74/165.06 ! [V_vs_2,V_us_2,V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 164.74/165.06 => ( c_List_Olist__all2(T_b,T_c,V_Pa_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))
% 164.74/165.06 <=> ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 164.74/165.06 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_us_2,V_vs_2) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__appendI,axiom,
% 164.74/165.06 ! [V_d_2,V_ca_2,V_b_2,V_aa_2,V_Pa_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_aa_2,V_b_2)
% 164.74/165.06 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_ca_2,V_d_2)
% 164.74/165.06 => c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_aa_2),V_ca_2),hAPP(hAPP(c_List_Oappend(T_c),V_b_2),V_d_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__dropI,axiom,
% 164.74/165.06 ! [V_n_2,V_bs_2,V_as_2,V_Pa_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_as_2,V_bs_2)
% 164.74/165.06 => c_List_Olist__all2(T_b,T_c,V_Pa_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)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__Cons,axiom,
% 164.74/165.06 ! [V_ys_2,V_y_2,V_xs_2,V_x_2,V_Pa_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_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))
% 164.74/165.06 <=> ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 164.74/165.06 & c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__eq,axiom,
% 164.74/165.06 ! [T_b,V_ys_2,V_xs_2] :
% 164.74/165.06 ( V_xs_2 = V_ys_2
% 164.74/165.06 <=> c_List_Olist__all2(T_b,T_b,c_fequal,V_xs_2,V_ys_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__takeI,axiom,
% 164.74/165.06 ! [V_n_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 164.74/165.06 => c_List_Olist__all2(T_b,T_c,V_Pa_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)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__lengthD,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 164.74/165.06 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__Nil,axiom,
% 164.74/165.06 ! [V_ys_2,V_Pa_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,c_List_Olist_ONil(T_b),V_ys_2)
% 164.74/165.06 <=> V_ys_2 = c_List_Olist_ONil(T_c) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__Nil2,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,c_List_Olist_ONil(T_c))
% 164.74/165.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__nthD2,axiom,
% 164.74/165.06 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(V_Pa_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))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__nthD,axiom,
% 164.74/165.06 ! [V_p_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_p_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(V_Pa_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))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__conv__all__nth,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 164.74/165.06 <=> ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)
% 164.74/165.06 & ! [B_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(V_Pa_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))) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__update__cong2,axiom,
% 164.74/165.06 ! [V_i_2,V_y_2,V_x_2,V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2)))
% 164.74/165.06 => c_List_Olist__all2(T_b,T_c,V_Pa_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)) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__update__cong,axiom,
% 164.74/165.06 ! [V_y_2,V_x_2,V_ys_2,V_Pa_2,T_c,V_xs_2,T_b,V_i_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.06 => ( c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2)
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(V_Pa_2,V_x_2),V_y_2))
% 164.74/165.06 => c_List_Olist__all2(T_b,T_c,V_Pa_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)) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2I,axiom,
% 164.74/165.06 ! [V_Pa_2,V_b_2,V_aa_2,T_c,T_b] :
% 164.74/165.06 ( ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_c)),B_x),hAPP(c_List_Oset(tc_prod(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_aa_2),V_b_2))))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_c,tc_HOL_Obool),V_Pa_2),B_x)) )
% 164.74/165.06 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_aa_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2)
% 164.74/165.06 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_aa_2,V_b_2) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_fun__left__comm_Ofold__set__remdups,axiom,
% 164.74/165.06 ! [V_xs_2,V_y_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( c_Finite__Set_Ofun__left__comm(T_b,T_c,V_f_2)
% 164.74/165.06 => hAPP(hAPP(c_Finite__Set_Ofold(T_b,T_c,V_f_2),V_y_2),hAPP(c_List_Oset(T_b),V_xs_2)) = hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_f_2),V_y_2),c_List_Oremdups(T_b,V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__remdups,axiom,
% 164.74/165.06 ! [V_xs,T_a] : hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oremdups(T_a,V_xs))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__remdups__leq,axiom,
% 164.74/165.06 ! [V_xs,T_a] : hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oremdups(T_a,V_xs))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_remdups__eq__nil__iff,axiom,
% 164.74/165.06 ! [V_x_2,T_b] :
% 164.74/165.06 ( c_List_Oremdups(T_b,V_x_2) = c_List_Olist_ONil(T_b)
% 164.74/165.06 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_remdups__eq__nil__right__iff,axiom,
% 164.74/165.06 ! [V_x_2,T_b] :
% 164.74/165.06 ( c_List_Olist_ONil(T_b) = c_List_Oremdups(T_b,V_x_2)
% 164.74/165.06 <=> V_x_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_remdups_Osimps_I1_J,axiom,
% 164.74/165.06 ! [T_a] : c_List_Oremdups(T_a,c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__remdups,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__remdups__eq,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)
% 164.74/165.06 <=> c_List_Oremdups(T_b,V_xs_2) = V_xs_2 ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_remdups__remdups,axiom,
% 164.74/165.06 ! [V_xs,T_a] : c_List_Oremdups(T_a,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,V_xs) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__remdups__id,axiom,
% 164.74/165.06 ! [V_xs,T_a] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 164.74/165.06 => c_List_Oremdups(T_a,V_xs) = V_xs ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_remdups__id__iff__distinct,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( c_List_Oremdups(T_b,V_xs_2) = V_xs_2
% 164.74/165.06 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_remove1__remdups,axiom,
% 164.74/165.06 ! [V_x,V_xs,T_a] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 164.74/165.06 => c_List_Oremove1(T_a,V_x,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,c_List_Oremove1(T_a,V_x,V_xs)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_remdups__map__remdups,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremdups(T_c,V_xs_2))) = c_List_Oremdups(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_remdups_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Oremdups(T_b,V_xs_2) )
% 164.74/165.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => c_List_Oremdups(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oremdups(T_b,V_xs_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__remdups__card__conv,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,V_xs_2)) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__remdups__concat,axiom,
% 164.74/165.06 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oremdups(T_b,c_List_Oconcat(T_b,V_xss_2))) = hAPP(c_Finite__Set_Ocard(T_b),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)),c_List_Oset(T_b))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__list__of__set__sort__remdups,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => c_List_Olinorder__class_Osorted__list__of__set(T_b,hAPP(c_List_Oset(T_b),V_xs_2)) = c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),c_List_Oremdups(T_b,V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__concat,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oconcat(T_c,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_concat_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_xs,V_x,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),V_x),c_List_Oconcat(T_a,V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_concat__conv__foldl,axiom,
% 164.74/165.06 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,V_xss_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),c_List_Olist_ONil(T_b)),V_xss_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldl__conv__concat,axiom,
% 164.74/165.06 ! [V_xss_2,V_xs_2,T_b] : hAPP(c_List_Ofoldl(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Oappend(T_b),V_xs_2),V_xss_2) = hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),c_List_Oconcat(T_b,V_xss_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__sort,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_b,T_c] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_c)
% 164.74/165.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)))
% 164.74/165.06 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Nil__eq__concat__conv,axiom,
% 164.74/165.06 ! [V_xss_2,T_b] :
% 164.74/165.06 ( c_List_Olist_ONil(T_b) = c_List_Oconcat(T_b,V_xss_2)
% 164.74/165.06 <=> ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 164.74/165.06 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_concat__eq__Nil__conv,axiom,
% 164.74/165.06 ! [V_xss_2,T_b] :
% 164.74/165.06 ( c_List_Oconcat(T_b,V_xss_2) = c_List_Olist_ONil(T_b)
% 164.74/165.06 <=> ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xss_2)))
% 164.74/165.06 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_concat_Osimps_I1_J,axiom,
% 164.74/165.06 ! [T_a] : c_List_Oconcat(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(T_a) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__sort,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_b,T_c] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_c)
% 164.74/165.06 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__sort,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_b,T_c] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_c)
% 164.74/165.06 => hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sort__key__simps_I1_J,axiom,
% 164.74/165.06 ! [V_f_2,T_b,T_c] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_c)
% 164.74/165.06 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__concat,axiom,
% 164.74/165.06 ! [V_xss_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_Oconcat(T_b,V_xss_2)) = hAPP(c_List_Omonoid__add__class_Olistsum(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xss_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__concat,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oconcat(T_b,V_xs_2)) = hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(tc_List_Olist(T_b),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)),c_List_Oset(T_b)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sort__key__simps_I2_J,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_c)
% 164.74/165.06 => c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_x_2),c_List_Olinorder__class_Osort__key(T_b,T_c,V_f_2,V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_concat__append,axiom,
% 164.74/165.06 ! [V_ys,V_xs,T_a] : c_List_Oconcat(T_a,hAPP(hAPP(c_List_Oappend(tc_List_Olist(T_a)),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oconcat(T_a,V_xs)),c_List_Oconcat(T_a,V_ys)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sort__foldl__insort,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b))),c_List_Olist_ONil(T_b)),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_concat__injective,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 164.74/165.06 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 164.74/165.06 => ( ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 164.74/165.06 => V_xs_2 = V_ys_2 ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_concat__eq__concat__iff,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),B_x),hAPP(c_List_Oset(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_List_Ozip(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_xs_2),V_ys_2))))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_fun(tc_fun(tc_List_Olist(T_b),tc_Nat_Onat),tc_fun(tc_List_Olist(T_b),tc_HOL_Obool)),tc_List_Olist(T_b)),c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_List_Olist(T_b)),c_fequal),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))))),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),B_x)) )
% 164.74/165.06 => ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_ys_2)
% 164.74/165.06 => ( c_List_Oconcat(T_b,V_xs_2) = c_List_Oconcat(T_b,V_ys_2)
% 164.74/165.06 <=> V_xs_2 = V_ys_2 ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_concat__map__singleton,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(T_c,tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_c),c_List_Olist_OCons(T_b)),V_f_2)),c_List_Olist_ONil(T_b))),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_n__lists_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_xs_2,V_n_2,T_b] : c_Enum_On__lists(T_b,hAPP(c_Nat_OSuc,V_n_2),V_xs_2) = c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),tc_List_Olist(T_b)),c_List_Omap(T_b,tc_List_Olist(T_b))),hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)))),V_xs_2)),c_Enum_On__lists(T_b,V_n_2,V_xs_2))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transpose_Osimps_I3_J,axiom,
% 164.74/165.06 ! [V_xss_2,V_xs_2,V_x_2,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transpose__aux__filter__head,axiom,
% 164.74/165.06 ! [V_xss_2,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),c_List_Ohd(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_filter__concat,axiom,
% 164.74/165.06 ! [V_xs_2,V_p_2,T_b] : hAPP(c_List_Ofilter(T_b,V_p_2),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Ofilter(T_b,V_p_2)),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_filter__sort,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,V_Pa_2,T_b,T_c] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_c)
% 164.74/165.06 => hAPP(c_List_Ofilter(T_b,V_Pa_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_Pa_2),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_filter__map,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_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_Pa_2),V_f_2)),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_filter__insort__triv,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_b,V_x_2,V_Pa_2,T_c] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_c)
% 164.74/165.06 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.06 => hAPP(c_List_Ofilter(T_b,V_Pa_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_Pa_2),V_xs_2) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_filter_Osimps_I1_J,axiom,
% 164.74/165.06 ! [V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transpose_Osimps_I1_J,axiom,
% 164.74/165.06 ! [T_a] : c_List_Otranspose(T_a,c_List_Olist_ONil(tc_List_Olist(T_a))) = c_List_Olist_ONil(tc_List_Olist(T_a)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_filter__empty__conv,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.06 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = c_List_Olist_ONil(T_b)
% 164.74/165.06 <=> ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => ~ hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_remove1__filter__not,axiom,
% 164.74/165.06 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 164.74/165.06 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.06 => c_List_Oremove1(T_b,V_x_2,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_filter__remove1,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,V_Qa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Qa_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_Qa_2),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_filter__is__subset,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_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_Pa_2),V_xs_2))),hAPP(c_List_Oset(T_b),V_xs_2))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_filter__id__conv,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.06 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) = V_xs_2
% 164.74/165.06 <=> ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__filter__le,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_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_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sum__length__filter__compl,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_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_Pa_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_Pa_2)),V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_filter__filter,axiom,
% 164.74/165.06 ! [V_xs_2,V_Qa_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Ofilter(T_b,V_Qa_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_Qa_2)),V_Pa_2)),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_filter_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 164.74/165.06 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.06 => hAPP(c_List_Ofilter(T_b,V_Pa_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_Pa_2),V_xs_2)) )
% 164.74/165.06 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.06 => hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_filter__append,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Ofilter(T_b,V_Pa_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_Pa_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__filter,axiom,
% 164.74/165.06 ! [V_Pa_2,V_xs_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.06 => hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_partition__filter1,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Ofst(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_2,V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_partition__filter2,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_Product__Type_Osnd(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Opartition(T_b,V_Pa_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_Pa_2)),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_remdups__filter,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b] : c_List_Oremdups(T_b,hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oremdups(T_b,V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transpose_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_xss,T_a] : c_List_Otranspose(T_a,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_a)),c_List_Olist_ONil(T_a)),V_xss)) = c_List_Otranspose(T_a,V_xss) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nth__transpose,axiom,
% 164.74/165.06 ! [V_xs_2,T_b,V_i_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 164.74/165.06 => hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transpose__map__map,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Otranspose(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),V_xs_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_c),tc_List_Olist(T_b)),hAPP(c_List_Omap(T_c,T_b),V_f_2)),c_List_Otranspose(T_c,V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__filter,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_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_Pa_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__filter__map,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_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_Pa_2),V_f_2)),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__filter__less,axiom,
% 164.74/165.06 ! [V_Pa_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_partition__filter__conv,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_b] : c_List_Opartition(T_b,V_f_2,V_xs_2) = hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_f_2),V_xs_2)),hAPP(c_List_Ofilter(T_b,hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,T_b,c_fNot),V_f_2)),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__minus__filter__out,axiom,
% 164.74/165.06 ! [V_y_2,V_xs_2,T_b] : hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_y_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) = hAPP(c_List_Oset(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_y_2))),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_filter__in__sublist,axiom,
% 164.74/165.06 ! [V_s_2,V_xs_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.06 => hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),hAPP(c_List_Oset(T_b),c_List_Osublist(T_b,V_xs_2,V_s_2)))),V_xs_2) = c_List_Osublist(T_b,V_xs_2,V_s_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transpose__empty,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( c_List_Otranspose(T_b,V_xs_2) = c_List_Olist_ONil(tc_List_Olist(T_b))
% 164.74/165.06 <=> ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.06 => B_x = c_List_Olist_ONil(T_b) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__filter__conv__card,axiom,
% 164.74/165.06 ! [V_xs_2,V_p_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,V_p_2),V_xs_2)) = hAPP(c_Finite__Set_Ocard(tc_Nat_Onat),hAPP(c_Set_OCollect(tc_Nat_Onat),hAPP(hAPP(c_COMBS(tc_Nat_Onat,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Nat_Onat),c_fconj),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,tc_HOL_Obool),c_Orderings_Oord__class_Oless(tc_Nat_Onat)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))),hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,tc_Nat_Onat),V_p_2),hAPP(c_List_Onth(T_b),V_xs_2))))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transpose__aux__filter__tail,axiom,
% 164.74/165.06 ! [V_xss_2,T_b] : c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2)) = hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Otl(T_b)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xss_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transpose_Opsimps_I3_J,axiom,
% 164.74/165.06 ! [V_xss_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)))
% 164.74/165.06 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_xss_2)) = hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_Olist__case(tc_List_Olist(T_b),T_b,c_List_Olist_ONil(T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),T_b),c_COMBK(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b))))),V_xss_2)))),c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),V_xs_2),c_List_Oconcat(tc_List_Olist(T_b),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_Olist__case(tc_List_Olist(tc_List_Olist(T_b)),T_b,c_List_Olist_ONil(tc_List_Olist(T_b)),hAPP(c_COMBK(tc_fun(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b))),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(tc_List_Olist(T_b)),tc_List_Olist(tc_List_Olist(T_b))),c_List_Olist_OCons(tc_List_Olist(T_b))),c_List_Olist_ONil(tc_List_Olist(T_b)))))),V_xss_2))))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transpose_Opsimps_I2_J,axiom,
% 164.74/165.06 ! [V_xss_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)))
% 164.74/165.06 => c_List_Otranspose(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),V_xss_2)) = c_List_Otranspose(T_b,V_xss_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sublist__shift__lemma__Suc,axiom,
% 164.74/165.06 ! [V_is_2,V_xs_2,V_Pa_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_Pa_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_Pa_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)))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_select__weigth__drop__zero,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : c_Random_Oselect__weight(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Oselect__weight(T_b,V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_pick__drop__zero,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : c_Random_Opick(T_b,hAPP(c_List_Ofilter(tc_prod(tc_Code__Numeral_Ocode__numeral,T_b),hAPP(c_Product__Type_Oprod_Oprod__case(tc_Code__Numeral_Ocode__numeral,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool),tc_Code__Numeral_Ocode__numeral),c_COMBK(tc_HOL_Obool,T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Code__Numeral_Ocode__numeral),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral))))),V_xs_2)) = c_Random_Opick(T_b,V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transpose_Opsimps_I1_J,axiom,
% 164.74/165.06 ! [T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_List_Olist(tc_List_Olist(T_b)),c_List_Otranspose__rel(T_b)),c_List_Olist_ONil(tc_List_Olist(T_b))))
% 164.74/165.06 => c_List_Otranspose(T_b,c_List_Olist_ONil(tc_List_Olist(T_b))) = c_List_Olist_ONil(tc_List_Olist(T_b)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transpose__max__length,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b)))),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transpose__aux__max,axiom,
% 164.74/165.06 ! [V_xss_2,T_c,V_xs_2,T_b] : hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_OSuc,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c))),V_xss_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) = hAPP(c_Nat_OSuc,hAPP(hAPP(c_Orderings_Oord__class_Omax(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),c_List_Ofoldr(tc_List_Olist(T_c),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_c)),c_Groups_Ominus__class_Ominus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_c)))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(c_List_Ofilter(tc_List_Olist(T_c),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_c)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_c),tc_List_Olist(T_c),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_c)))),V_xss_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldr__conv__foldl,axiom,
% 164.74/165.06 ! [V_aa_2,V_xs_2,T_b] :
% 164.74/165.06 ( class_Groups_Oab__semigroup__add(T_b)
% 164.74/165.06 => c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,V_aa_2) = hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_aa_2),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldr_Osimps_I1_J,axiom,
% 164.74/165.06 ! [V_aa_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_aa_2) = V_aa_2 ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldr_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_aa_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_aa_2) = hAPP(hAPP(V_f_2,V_x_2),c_List_Ofoldr(T_c,T_b,V_f_2,V_xs_2,V_aa_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldr__append,axiom,
% 164.74/165.06 ! [V_aa_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_aa_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_aa_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldr__map,axiom,
% 164.74/165.06 ! [V_aa_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_aa_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_aa_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldl__foldr1__lemma,axiom,
% 164.74/165.06 ! [V_xs_2,V_aa_2,T_b] :
% 164.74/165.06 ( class_Groups_Omonoid__add(T_b)
% 164.74/165.06 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_aa_2),V_xs_2) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(T_b),V_aa_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))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldl__foldr1,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( class_Groups_Omonoid__add(T_b)
% 164.74/165.06 => hAPP(c_List_Ofoldl(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),c_Groups_Ozero__class_Ozero(T_b)),V_xs_2) = c_List_Ofoldr(T_b,T_b,c_Groups_Oplus__class_Oplus(T_b),V_xs_2,c_Groups_Ozero__class_Ozero(T_b)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__transpose,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_List_Ofoldr(tc_List_Olist(T_b),tc_Nat_Onat,hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_List_Olist(T_b)),c_Orderings_Oord__class_Omax(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sublist__def,axiom,
% 164.74/165.06 ! [V_A_2,V_xs_2,T_b] : c_List_Osublist(T_b,V_xs_2,V_A_2) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sublist__shift__lemma,axiom,
% 164.74/165.06 ! [V_i_2,V_xs_2,V_A_2,T_b] : hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(V_i_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))))) = hAPP(hAPP(c_List_Omap(tc_prod(T_b,tc_Nat_Onat),T_b),c_Product__Type_Ofst(T_b,tc_Nat_Onat)),hAPP(c_List_Ofilter(tc_prod(T_b,tc_Nat_Onat),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_fun(tc_Nat_Onat,tc_HOL_Obool),tc_HOL_Obool),tc_prod(T_b,tc_Nat_Onat)),c_member(tc_Nat_Onat)),hAPP(hAPP(c_COMBC(tc_prod(T_b,tc_Nat_Onat),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_prod(T_b,tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Product__Type_Osnd(T_b,tc_Nat_Onat))),V_i_2))),V_A_2)),hAPP(hAPP(c_List_Ozip(T_b,tc_Nat_Onat),V_xs_2),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__upt,axiom,
% 164.74/165.06 ! [V_j_2,V_i_2] : hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) = hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_atLeastLessThan__upt,axiom,
% 164.74/165.06 ! [V_j_2,V_i_2] : hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_i_2),V_j_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_i_2,V_j_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__upt,axiom,
% 164.74/165.06 ! [V_j,V_i] : hBOOL(hAPP(c_List_Odistinct(tc_Nat_Onat),c_List_Oupt(V_i,V_j))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_upt__add__eq__append,axiom,
% 164.74/165.06 ! [V_k,V_j,V_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 164.74/165.06 => c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),c_List_Oupt(V_j,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_j),V_k))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_upt__Suc__append,axiom,
% 164.74/165.06 ! [V_j,V_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 164.74/165.06 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_upt__Suc,axiom,
% 164.74/165.06 ! [V_j,V_i] :
% 164.74/165.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 164.74/165.06 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_j),c_List_Olist_ONil(tc_Nat_Onat))) )
% 164.74/165.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 164.74/165.06 => c_List_Oupt(V_i,hAPP(c_Nat_OSuc,V_j)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_drop__upt,axiom,
% 164.74/165.06 ! [V_j,V_i,V_m] : hAPP(hAPP(c_List_Odrop(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_j)) = c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m),V_j) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_hd__upt,axiom,
% 164.74/165.06 ! [V_j,V_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 164.74/165.06 => hAPP(c_List_Ohd(tc_Nat_Onat),c_List_Oupt(V_i,V_j)) = V_i ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_upt__rec,axiom,
% 164.74/165.06 ! [V_j,V_i] :
% 164.74/165.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 164.74/165.06 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) )
% 164.74/165.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 164.74/165.06 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__list__of__set__range,axiom,
% 164.74/165.06 ! [V_n_2,V_m_2] : c_List_Olinorder__class_Osorted__list__of__set(tc_Nat_Onat,hAPP(c_SetInterval_Oord__class_OatLeastLessThan(tc_Nat_Onat,V_m_2),V_n_2)) = c_List_Oupt(V_m_2,V_n_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_upt__conv__Cons,axiom,
% 164.74/165.06 ! [V_j,V_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 164.74/165.06 => c_List_Oupt(V_i,V_j) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_i),c_List_Oupt(hAPP(c_Nat_OSuc,V_i),V_j)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_take__upt,axiom,
% 164.74/165.06 ! [V_n,V_m,V_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)),V_n))
% 164.74/165.06 => hAPP(hAPP(c_List_Otake(tc_Nat_Onat),V_m),c_List_Oupt(V_i,V_n)) = c_List_Oupt(V_i,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_m)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_upt__conv__Nil,axiom,
% 164.74/165.06 ! [V_i,V_j] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j),V_i))
% 164.74/165.06 => c_List_Oupt(V_i,V_j) = c_List_Olist_ONil(tc_Nat_Onat) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_upt__eq__Nil__conv,axiom,
% 164.74/165.06 ! [V_j_2,V_i_2] :
% 164.74/165.06 ( c_List_Oupt(V_i_2,V_j_2) = c_List_Olist_ONil(tc_Nat_Onat)
% 164.74/165.06 <=> ( V_j_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.06 | hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),V_i_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_upt__0,axiom,
% 164.74/165.06 ! [V_i] : c_List_Oupt(V_i,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)) = c_List_Olist_ONil(tc_Nat_Onat) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__upt,axiom,
% 164.74/165.06 ! [V_j,V_i] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_Nat_Onat)),c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),V_i) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_upt__rec__number__of,axiom,
% 164.74/165.06 ! [V_n,V_m] :
% 164.74/165.06 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)))
% 164.74/165.06 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),c_List_Oupt(hAPP(c_Nat_OSuc,hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n))) )
% 164.74/165.06 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m)),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)))
% 164.74/165.06 => c_List_Oupt(hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_m),hAPP(c_Int_Onumber__class_Onumber__of(tc_Nat_Onat),V_n)) = c_List_Olist_ONil(tc_Nat_Onat) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_upt__eq__Cons__conv,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,V_j_2,V_i_2] :
% 164.74/165.06 ( c_List_Oupt(V_i_2,V_j_2) = hAPP(hAPP(c_List_Olist_OCons(tc_Nat_Onat),V_x_2),V_xs_2)
% 164.74/165.06 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),V_j_2))
% 164.74/165.06 & V_i_2 = V_x_2
% 164.74/165.06 & c_List_Oupt(hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i_2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_j_2) = V_xs_2 ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_last__upt,axiom,
% 164.74/165.06 ! [V_j,V_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_j))
% 164.74/165.06 => c_List_Olast(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_j),c_Groups_Oone__class_Oone(tc_Nat_Onat)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__Suc__upt,axiom,
% 164.74/165.06 ! [V_n_2,V_m_2] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Nat_Onat),c_Nat_OSuc),c_List_Oupt(V_m_2,V_n_2)) = c_List_Oupt(hAPP(c_Nat_OSuc,V_m_2),hAPP(c_Nat_OSuc,V_n_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_atLeastAtMost__upt,axiom,
% 164.74/165.06 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OatLeastAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_n_2,hAPP(c_Nat_OSuc,V_m_2))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_atLeast__upt,axiom,
% 164.74/165.06 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OlessThan(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nth__upt,axiom,
% 164.74/165.06 ! [V_j,V_k,V_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k)),V_j))
% 164.74/165.06 => hAPP(hAPP(c_List_Onth(tc_Nat_Onat),c_List_Oupt(V_i,V_j)),V_k) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_i),V_k) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_greaterThanAtMost__upt,axiom,
% 164.74/165.06 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanAtMost(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),hAPP(c_Nat_OSuc,V_m_2))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_greaterThanLessThan__upt,axiom,
% 164.74/165.06 ! [V_m_2,V_n_2] : c_SetInterval_Oord__class_OgreaterThanLessThan(tc_Nat_Onat,V_n_2,V_m_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(hAPP(c_Nat_OSuc,V_n_2),V_m_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_atMost__upto,axiom,
% 164.74/165.06 ! [V_n_2] : hAPP(c_SetInterval_Oord__class_OatMost(tc_Nat_Onat),V_n_2) = hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_OSuc,V_n_2))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__nth,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_List_Onth(T_b),V_xs_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) = V_xs_2 ).
% 164.74/165.06
% 164.74/165.06 fof(fact_setsum__set__upt__conv__listsum__nat,axiom,
% 164.74/165.06 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 164.74/165.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.06 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) = hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_interv__listsum__conv__setsum__set__nat,axiom,
% 164.74/165.06 ! [V_n_2,V_m_2,V_f_2,T_b] :
% 164.74/165.06 ( class_Groups_Ocomm__monoid__add(T_b)
% 164.74/165.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_Nat_Onat,T_b),V_f_2),hAPP(c_List_Oset(tc_Nat_Onat),c_List_Oupt(V_m_2,V_n_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nth__map__upt,axiom,
% 164.74/165.06 ! [V_f_2,T_b,V_m_2,V_n_2,V_i_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n_2),V_m_2)))
% 164.74/165.06 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),V_f_2),c_List_Oupt(V_m_2,V_n_2))),V_i_2) = hAPP(V_f_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_m_2),V_i_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transpose__rectangle,axiom,
% 164.74/165.06 ! [V_n_2,T_b,V_xs_2] :
% 164.74/165.06 ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 164.74/165.06 => V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 164.74/165.06 => ( ! [B_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 164.74/165.06 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),B_i)) = V_n_2 )
% 164.74/165.06 => c_List_Otranspose(T_b,V_xs_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_List_Olist(T_b)),hAPP(hAPP(c_COMBC(tc_Nat_Onat,tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,T_b),tc_fun(tc_List_Olist(tc_Nat_Onat),tc_List_Olist(T_b)),tc_Nat_Onat),c_List_Omap(tc_Nat_Onat,T_b)),hAPP(c_COMBC(tc_Nat_Onat,tc_Nat_Onat,T_b),hAPP(hAPP(c_COMBB(tc_List_Olist(T_b),tc_fun(tc_Nat_Onat,T_b),tc_Nat_Onat),c_List_Onth(T_b)),hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2))))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_n_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_insort__key__remove1,axiom,
% 164.74/165.06 ! [V_f_2,V_xs_2,V_aa_2,T_b,T_c] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_c)
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 164.74/165.06 => ( hAPP(c_List_Ohd(T_b),hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(T_c,tc_HOL_Obool,T_b),hAPP(c_fequal,hAPP(V_f_2,V_aa_2))),V_f_2)),V_xs_2)) = V_aa_2
% 164.74/165.06 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_aa_2),c_List_Oremove1(T_b,V_aa_2,V_xs_2)) = V_xs_2 ) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted_ONil,axiom,
% 164.74/165.06 ! [T_a] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_a)
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__single,axiom,
% 164.74/165.06 ! [V_x,T_a] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_a)
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__upt,axiom,
% 164.74/165.06 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,c_List_Oupt(V_i,V_j)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__sort,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osort__key(T_b,T_b,c_COMBI(T_b),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__insort,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_x_2),V_xs_2))
% 164.74/165.06 <=> c_List_Olinorder__class_Osorted(T_b,V_xs_2) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__tl,axiom,
% 164.74/165.06 ! [V_xs,T_a] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_a)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Otl(T_a),V_xs)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__butlast,axiom,
% 164.74/165.06 ! [V_xs,T_a] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_a)
% 164.74/165.06 => ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_a,c_List_Obutlast(T_a,V_xs)) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted_Oequations_I1_J,axiom,
% 164.74/165.06 ! [T_a] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_a)
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_a,c_List_Olist_ONil(T_a)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__remove1,axiom,
% 164.74/165.06 ! [V_a,V_xs,T_a] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_a)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremove1(T_a,V_a,V_xs)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__take,axiom,
% 164.74/165.06 ! [V_n,V_xs,T_a] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_a)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Otake(T_a),V_n),V_xs)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__upto,axiom,
% 164.74/165.06 ! [V_j,V_i] : c_List_Olinorder__class_Osorted(tc_Int_Oint,c_List_Oupto(V_i,V_j)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__many,axiom,
% 164.74/165.06 ! [V_zs,V_y,V_x,T_a] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_a)
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y))
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_zs))) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__many__eq,axiom,
% 164.74/165.06 ! [V_zs_2,V_y_2,V_x_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)))
% 164.74/165.06 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),V_y_2))
% 164.74/165.06 & c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_zs_2)) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__drop,axiom,
% 164.74/165.06 ! [V_n,V_xs,T_a] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_a)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_a,hAPP(hAPP(c_List_Odrop(T_a),V_n),V_xs)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__insort__insert,axiom,
% 164.74/165.06 ! [V_x_2,V_xs_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Oinsort__insert__key(T_b,T_b,c_COMBI(T_b),V_x_2,V_xs_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__remdups,axiom,
% 164.74/165.06 ! [V_l,T_a] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_a)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_a,V_l)
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_a,c_List_Oremdups(T_a,V_l)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__distinct__set__unique,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 164.74/165.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 164.74/165.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_ys_2))
% 164.74/165.06 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 164.74/165.06 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__sort__key,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Osort__key(T_c,T_b,V_f_2,V_xs_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__insort__insert__key,axiom,
% 164.74/165.06 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Olinorder__class_Oinsort__insert__key(T_c,T_b,V_f_2,V_x_2,V_xs_2))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__map__remove1,axiom,
% 164.74/165.06 ! [V_x_2,V_xs_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oremove1(T_c,V_x_2,V_xs_2))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__insort__key,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_c,T_b,V_f_2),V_x_2),V_xs_2)))
% 164.74/165.06 <=> c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__filter,axiom,
% 164.74/165.06 ! [V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,V_Pa_2),V_xs_2))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__map__same,axiom,
% 164.74/165.06 ! [V_xs_2,V_g_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBC(T_c,T_b,tc_HOL_Obool),hAPP(hAPP(c_COMBB(T_b,tc_fun(T_b,tc_HOL_Obool),T_c),c_fequal),V_f_2)),hAPP(V_g_2,V_xs_2))),V_xs_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__same,axiom,
% 164.74/165.06 ! [V_xs_2,V_g_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Ofilter(T_b,hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),hAPP(V_g_2,V_xs_2))),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__Cons,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 164.74/165.06 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 164.74/165.06 & ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) ) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__append,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 164.74/165.06 <=> ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 164.74/165.06 & c_List_Olinorder__class_Osorted(T_b,V_ys_2)
% 164.74/165.06 & ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => ! [B_xa] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),V_ys_2)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) ) ) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_filter__insort,axiom,
% 164.74/165.06 ! [V_x_2,V_Pa_2,V_xs_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2))
% 164.74/165.06 => ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.06 => hAPP(c_List_Ofilter(T_c,V_Pa_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_Pa_2),V_xs_2)) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted_Oequations_I2_J,axiom,
% 164.74/165.06 ! [V_a1_2,V_a2_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_a2_2),V_a1_2))
% 164.74/165.06 <=> ( ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_a1_2)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_a2_2),B_x)) )
% 164.74/165.06 & c_List_Olinorder__class_Osorted(T_b,V_a1_2) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__list__of__set,axiom,
% 164.74/165.06 ! [V_A_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.06 => ( hAPP(c_List_Oset(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2)) = V_A_2
% 164.74/165.06 & c_List_Olinorder__class_Osorted(T_b,c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))
% 164.74/165.06 & hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Olinorder__class_Osorted__list__of__set(T_b,V_A_2))) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_insort__remove1,axiom,
% 164.74/165.06 ! [V_xs_2,V_aa_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_aa_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 164.74/165.06 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_b,c_COMBI(T_b)),V_aa_2),c_List_Oremove1(T_b,V_aa_2,V_xs_2)) = V_xs_2 ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__equals__nth__mono,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 164.74/165.06 <=> ! [B_j] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.06 => ! [B_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i)),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_j))) ) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__nth__mono,axiom,
% 164.74/165.06 ! [V_j,V_i,V_xs,T_a] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_a)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_a,V_xs)
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j))) ) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__sorted__distinct__set__unique,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_f_2,T_b,T_c] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_c)
% 164.74/165.06 => ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(c_List_Oset(T_b),V_ys_2)))
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2))
% 164.74/165.06 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)))
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_c,hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2))
% 164.74/165.06 => ( hBOOL(hAPP(c_List_Odistinct(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_ys_2)))
% 164.74/165.06 => ( hAPP(c_List_Oset(T_b),V_xs_2) = hAPP(c_List_Oset(T_b),V_ys_2)
% 164.74/165.06 => V_xs_2 = V_ys_2 ) ) ) ) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transpose__column,axiom,
% 164.74/165.06 ! [V_i_2,V_xs_2,T_b] :
% 164.74/165.06 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 164.74/165.06 => hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),T_b),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_Nat_Onat,T_b),c_List_Onth(T_b)),V_i_2)),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nth__nth__transpose__sorted,axiom,
% 164.74/165.06 ! [V_j_2,V_i_2,V_xs_2,T_b] :
% 164.74/165.06 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2))))
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),V_xs_2))))
% 164.74/165.06 => hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),c_List_Otranspose(T_b,V_xs_2)),V_i_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_j_2)),V_i_2) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_inj__on__rev,axiom,
% 164.74/165.06 ! [V_A_2,T_b] : c_Fun_Oinj__on(tc_List_Olist(T_b),tc_List_Olist(T_b),c_List_Orev(T_b),V_A_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev__is__Nil__conv,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(c_List_Orev(T_b),V_xs_2) = c_List_Olist_ONil(T_b)
% 164.74/165.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_Nil__is__rev__conv,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( c_List_Olist_ONil(T_b) = hAPP(c_List_Orev(T_b),V_xs_2)
% 164.74/165.06 <=> V_xs_2 = c_List_Olist_ONil(T_b) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev_Osimps_I1_J,axiom,
% 164.74/165.06 ! [T_a] : hAPP(c_List_Orev(T_a),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_singleton__rev__conv,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) = hAPP(c_List_Orev(T_b),V_xs_2)
% 164.74/165.06 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev__singleton__conv,axiom,
% 164.74/165.06 ! [V_x_2,V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b))
% 164.74/165.06 <=> V_xs_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),c_List_Olist_ONil(T_b)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev__append,axiom,
% 164.74/165.06 ! [V_ys,V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_ys)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__rev,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),hAPP(c_List_Orev(T_b),V_xs_2)))
% 164.74/165.06 <=> hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev__concat,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),c_List_Oconcat(T_b,V_xs_2)) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Orev(T_b)),hAPP(c_List_Orev(tc_List_Olist(T_b)),V_xs_2))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev__map,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,T_b] : hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)) = hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev__eq__Cons__iff,axiom,
% 164.74/165.06 ! [V_ys_2,V_y_2,V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 164.74/165.06 <=> V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),hAPP(c_List_Orev(T_b),V_ys_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),c_List_Olist_ONil(T_b))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_xs,V_x,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev__filter,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b] : hAPP(c_List_Orev(T_b),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),hAPP(c_List_Orev(T_b),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_zip__rev,axiom,
% 164.74/165.06 ! [V_ys,T_b,V_xs,T_a] :
% 164.74/165.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_ys)
% 164.74/165.06 => hAPP(hAPP(c_List_Ozip(T_a,T_b),hAPP(c_List_Orev(T_a),V_xs)),hAPP(c_List_Orev(T_b),V_ys)) = hAPP(c_List_Orev(tc_prod(T_a,T_b)),hAPP(hAPP(c_List_Ozip(T_a,T_b),V_xs),V_ys)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__rev,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Oset(T_b),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsum__rev,axiom,
% 164.74/165.06 ! [V_xs,T_a] :
% 164.74/165.06 ( class_Groups_Ocomm__monoid__add(T_a)
% 164.74/165.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_a),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Omonoid__add__class_Olistsum(T_a),V_xs) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev__is__rev__conv,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Orev(T_b),V_ys_2)
% 164.74/165.06 <=> V_xs_2 = V_ys_2 ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev__swap,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,T_b] :
% 164.74/165.06 ( hAPP(c_List_Orev(T_b),V_xs_2) = V_ys_2
% 164.74/165.06 <=> V_xs_2 = hAPP(c_List_Orev(T_b),V_ys_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev__rev__ident,axiom,
% 164.74/165.06 ! [V_xs,T_a] : hAPP(c_List_Orev(T_a),hAPP(c_List_Orev(T_a),V_xs)) = V_xs ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__rev,axiom,
% 164.74/165.06 ! [V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__rev1,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),V_ys_2)
% 164.74/165.06 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,hAPP(c_List_Orev(T_c),V_ys_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__rev,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] :
% 164.74/165.06 ( c_List_Olist__all2(T_b,T_c,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2),hAPP(c_List_Orev(T_c),V_ys_2))
% 164.74/165.06 <=> c_List_Olist__all2(T_b,T_c,V_Pa_2,V_xs_2,V_ys_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldl__foldr,axiom,
% 164.74/165.06 ! [V_xs_2,V_aa_2,V_f_2,T_c,T_b] : hAPP(c_List_Ofoldl(T_b,T_c,V_f_2,V_aa_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_aa_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldr__foldl,axiom,
% 164.74/165.06 ! [V_aa_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_aa_2) = hAPP(c_List_Ofoldl(T_b,T_c,hAPP(c_COMBC(T_c,T_b,T_b),V_f_2),V_aa_2),hAPP(c_List_Orev(T_c),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_last__rev,axiom,
% 164.74/165.06 ! [T_a,V_xs] :
% 164.74/165.06 ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.06 => c_List_Olast(T_a,hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Ohd(T_a),V_xs) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_hd__rev,axiom,
% 164.74/165.06 ! [T_a,V_xs] :
% 164.74/165.06 ( V_xs != c_List_Olist_ONil(T_a)
% 164.74/165.06 => hAPP(c_List_Ohd(T_a),hAPP(c_List_Orev(T_a),V_xs)) = c_List_Olast(T_a,V_xs) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__transpose,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev__foldl__cons,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] : hAPP(c_List_Orev(T_b),V_xs_2) = hAPP(c_List_Ofoldl(tc_List_Olist(T_b),T_b,hAPP(c_COMBC(T_b,tc_List_Olist(T_b),tc_List_Olist(T_b)),c_List_Olist_OCons(T_b)),c_List_Olist_ONil(T_b)),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev__drop,axiom,
% 164.74/165.06 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Odrop(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Otake(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev__take,axiom,
% 164.74/165.06 ! [V_xs,V_i,T_a] : hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Otake(T_a),V_i),V_xs)) = hAPP(hAPP(c_List_Odrop(T_a),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_i)),hAPP(c_List_Orev(T_a),V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rotate__rev,axiom,
% 164.74/165.06 ! [V_xs,V_n,T_a] : hAPP(c_List_Orotate(T_a,V_n),hAPP(c_List_Orev(T_a),V_xs)) = hAPP(c_List_Orev(T_a),hAPP(c_List_Orotate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,V_n,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))),V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev__nth,axiom,
% 164.74/165.06 ! [V_xs,T_a,V_n] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hAPP(hAPP(c_List_Onth(T_a),hAPP(c_List_Orev(T_a),V_xs)),V_n) = hAPP(hAPP(c_List_Onth(T_a),V_xs),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_OSuc,V_n))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_rev__update,axiom,
% 164.74/165.06 ! [V_y,V_xs,T_a,V_k] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_k),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hAPP(c_List_Orev(T_a),hAPP(hAPP(c_List_Olist__update(T_a,V_xs),V_k),V_y)) = hAPP(hAPP(c_List_Olist__update(T_a,hAPP(c_List_Orev(T_a),V_xs)),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),V_k)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),V_y) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__rev__nth__mono,axiom,
% 164.74/165.06 ! [V_j,V_i,V_xs,T_a] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_a)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_a,hAPP(c_List_Orev(T_a),V_xs))
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_i),V_j))
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_j)),hAPP(hAPP(c_List_Onth(T_a),V_xs),V_i))) ) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldr__max__sorted,axiom,
% 164.74/165.06 ! [V_y_2,V_xs_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),V_xs_2))
% 164.74/165.06 => ( ( V_xs_2 = c_List_Olist_ONil(T_b)
% 164.74/165.06 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = V_y_2 )
% 164.74/165.06 & ( V_xs_2 != c_List_Olist_ONil(T_b)
% 164.74/165.06 => c_List_Ofoldr(T_b,T_b,c_Orderings_Oord__class_Omax(T_b),V_xs_2,V_y_2) = hAPP(hAPP(c_Orderings_Oord__class_Omax(T_b),hAPP(hAPP(c_List_Onth(T_b),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),V_y_2) ) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__transpose__sorted,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 164.74/165.06 => ( ( V_xs_2 = c_List_Olist_ONil(tc_List_Olist(T_b))
% 164.74/165.06 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) )
% 164.74/165.06 & ( V_xs_2 != c_List_Olist_ONil(tc_List_Olist(T_b))
% 164.74/165.06 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),c_List_Otranspose(T_b,V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transpose__column__length,axiom,
% 164.74/165.06 ! [V_i_2,V_xs_2,T_b] :
% 164.74/165.06 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),V_xs_2)))
% 164.74/165.06 => hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(tc_List_Olist(T_b))),hAPP(c_List_Ofilter(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_HOL_Obool,tc_List_Olist(T_b)),hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i_2)),c_Nat_Osize__class_Osize(tc_List_Olist(T_b)))),c_List_Otranspose(T_b,V_xs_2))) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Onth(tc_List_Olist(T_b)),V_xs_2),V_i_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transpose__transpose,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( c_List_Olinorder__class_Osorted(tc_Nat_Onat,hAPP(c_List_Orev(tc_Nat_Onat),hAPP(hAPP(c_List_Omap(tc_List_Olist(T_b),tc_Nat_Onat),c_Nat_Osize__class_Osize(tc_List_Olist(T_b))),V_xs_2)))
% 164.74/165.06 => c_List_Otranspose(T_b,c_List_Otranspose(T_b,V_xs_2)) = c_List_OtakeWhile(tc_List_Olist(T_b),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_List_Olist(T_b)),c_fNot),hAPP(hAPP(c_COMBC(tc_List_Olist(T_b),tc_List_Olist(T_b),tc_HOL_Obool),c_fequal),c_List_Olist_ONil(T_b))),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transfer__nat__int__list__functions_I2_J,axiom,
% 164.74/165.06 c_List_Olist_ONil(tc_Nat_Onat) = c_List_Oreturn__list(c_List_Olist_ONil(tc_Int_Oint)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__takeWhile,axiom,
% 164.74/165.06 ! [V_Pa_2,V_xs_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_b,c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__takeWhile__le,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_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_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__takeWhileD,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,V_x_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 & hBOOL(hAPP(V_Pa_2,V_x_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_takeWhile__eq__all__conv,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.06 ( c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = V_xs_2
% 164.74/165.06 <=> ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_zip__takeWhile__fst,axiom,
% 164.74/165.06 ! [V_ys_2,V_xs_2,V_Pa_2,T_c,T_b] : hAPP(hAPP(c_List_Ozip(T_b,T_c),c_List_OtakeWhile(T_b,V_Pa_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_Pa_2),c_Product__Type_Ofst(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_zip__takeWhile__snd,axiom,
% 164.74/165.06 ! [V_ys_2,V_Pa_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_Pa_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_Pa_2),c_Product__Type_Osnd(T_b,T_c)),hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_takeWhile__map,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_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_Pa_2),V_f_2),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__takeWhile,axiom,
% 164.74/165.06 ! [V_Pa_2,V_xs_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.06 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_takeWhile__tail,axiom,
% 164.74/165.06 ! [V_l_2,V_xs_2,T_b,V_x_2,V_Pa_2] :
% 164.74/165.06 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.06 => c_List_OtakeWhile(T_b,V_Pa_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_Pa_2,V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_takeWhile_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 164.74/165.06 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.06 => c_List_OtakeWhile(T_b,V_Pa_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_Pa_2,V_xs_2)) )
% 164.74/165.06 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.06 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_takeWhile__eq__take,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_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_Pa_2,V_xs_2))),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_takeWhile_Osimps_I1_J,axiom,
% 164.74/165.06 ! [V_Pa_2,T_b] : c_List_OtakeWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_return__list__def,axiom,
% 164.74/165.06 ! [V_l_2] : c_List_Oreturn__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Int_Oint,tc_Nat_Onat),c_Int_Onat),V_l_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_takeWhile__append1,axiom,
% 164.74/165.06 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.06 => c_List_OtakeWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_takeWhile__nth,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))))
% 164.74/165.06 => hAPP(hAPP(c_List_Onth(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),V_j_2) = hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_j_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_nth__length__takeWhile,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.06 => ~ hBOOL(hAPP(V_Pa_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_Pa_2,V_xs_2))))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_takeWhile__not__last,axiom,
% 164.74/165.06 ! [T_b,V_xs_2] :
% 164.74/165.06 ( V_xs_2 != c_List_Olist_ONil(T_b)
% 164.74/165.06 => ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.06 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),c_List_Olast(T_b,V_xs_2))),V_xs_2) = c_List_Obutlast(T_b,V_xs_2) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_filter__equals__takeWhile__sorted__rev,axiom,
% 164.74/165.06 ! [V_t_2,V_xs_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,hAPP(c_List_Orev(T_b),hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),V_xs_2)))
% 164.74/165.06 => hAPP(c_List_Ofilter(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2)),V_xs_2) = c_List_OtakeWhile(T_c,hAPP(hAPP(c_COMBB(T_b,tc_HOL_Obool,T_c),hAPP(c_Orderings_Oord__class_Oless(T_b),V_t_2)),V_f_2),V_xs_2) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transfer__nat__int__list__return__embed,axiom,
% 164.74/165.06 ! [V_l] :
% 164.74/165.06 ( c_List_Onat__list(V_l)
% 164.74/165.06 => c_List_Oembed__list(c_List_Oreturn__list(V_l)) = V_l ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_transfer__nat__int__list__functions_I1_J,axiom,
% 164.74/165.06 ! [V_m,V_l] : hAPP(hAPP(c_List_Oappend(tc_Nat_Onat),V_l),V_m) = c_List_Oreturn__list(hAPP(hAPP(c_List_Oappend(tc_Int_Oint),c_List_Oembed__list(V_l)),c_List_Oembed__list(V_m))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_embed__list__def,axiom,
% 164.74/165.06 ! [V_l_2] : c_List_Oembed__list(V_l_2) = hAPP(hAPP(c_List_Omap(tc_Nat_Onat,tc_Int_Oint),c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint)),V_l_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_takeWhile__neq__rev,axiom,
% 164.74/165.06 ! [V_x_2,V_xs_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(c_List_Orev(T_b),hAPP(c_List_Otl(T_b),c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_dropWhile__neq__rev,axiom,
% 164.74/165.06 ! [V_x_2,V_xs_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => c_List_OdropWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),hAPP(c_List_Orev(T_b),V_xs_2)) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),hAPP(c_List_Orev(T_b),c_List_OtakeWhile(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(hAPP(c_COMBC(T_b,T_b,tc_HOL_Obool),c_fequal),V_x_2)),V_xs_2))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_takeWhile__dropWhile__id,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b] : hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) = V_xs_2 ).
% 164.74/165.06
% 164.74/165.06 fof(fact_dropWhile__map,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_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_Pa_2),V_f_2),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__dropWhile,axiom,
% 164.74/165.06 ! [V_Pa_2,V_xs_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_b,c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__dropWhile__le,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_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_Pa_2,V_xs_2))),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_dropWhile__eq__Nil__conv,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.06 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = c_List_Olist_ONil(T_b)
% 164.74/165.06 <=> ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_hd__dropWhile,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.06 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) != c_List_Olist_ONil(T_b)
% 164.74/165.06 => ~ hBOOL(hAPP(V_Pa_2,hAPP(c_List_Ohd(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2)))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__dropWhile,axiom,
% 164.74/165.06 ! [V_Pa_2,V_xs_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_b),V_xs_2))
% 164.74/165.06 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_dropWhile_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 164.74/165.06 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.06 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) )
% 164.74/165.06 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.06 => c_List_OdropWhile(T_b,V_Pa_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) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_dropWhile_Osimps_I1_J,axiom,
% 164.74/165.06 ! [V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) = c_List_Olist_ONil(T_b) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_dropWhile__append1,axiom,
% 164.74/165.06 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.06 => c_List_OdropWhile(T_b,V_Pa_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_Pa_2,V_xs_2)),V_ys_2) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_dropWhile__eq__Cons__conv,axiom,
% 164.74/165.06 ! [V_ys_2,V_y_2,V_xs_2,V_Pa_2,T_b] :
% 164.74/165.06 ( c_List_OdropWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2)
% 164.74/165.06 <=> ( V_xs_2 = hAPP(hAPP(c_List_Oappend(T_b),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)),hAPP(hAPP(c_List_Olist_OCons(T_b),V_y_2),V_ys_2))
% 164.74/165.06 & ~ hBOOL(hAPP(V_Pa_2,V_y_2)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_dropWhile__eq__drop,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b] : c_List_OdropWhile(T_b,V_Pa_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_Pa_2,V_xs_2))),V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_dropWhile__nth,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b,V_j_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))))
% 164.74/165.06 => hAPP(hAPP(c_List_Onth(T_b),c_List_OdropWhile(T_b,V_Pa_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_Pa_2,V_xs_2)))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_listsum__map__filter,axiom,
% 164.74/165.06 ! [V_f_2,V_Pa_2,V_xs_2,T_b,T_c] :
% 164.74/165.06 ( class_Groups_Omonoid__add(T_c)
% 164.74/165.06 => ( ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => ( ~ hBOOL(hAPP(V_Pa_2,B_x))
% 164.74/165.06 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) )
% 164.74/165.06 => hAPP(c_List_Omonoid__add__class_Olistsum(T_c),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_Ofilter(T_b,V_Pa_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)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted__nth__monoI,axiom,
% 164.74/165.06 ! [V_xs,T_a] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_a)
% 164.74/165.06 => ( ! [B_i,B_j] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),B_i),B_j))
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_j),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),hAPP(hAPP(c_List_Onth(T_a),V_xs),B_i)),hAPP(hAPP(c_List_Onth(T_a),V_xs),B_j))) ) )
% 164.74/165.06 => c_List_Olinorder__class_Osorted(T_a,V_xs) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_takeWhile__eq__filter,axiom,
% 164.74/165.06 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.06 ( ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_OdropWhile(T_b,V_Pa_2,V_xs_2))))
% 164.74/165.06 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.74/165.06 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_takeWhile__eq__take__P__nth,axiom,
% 164.74/165.06 ! [V_Pa_2,V_xs_2,T_b,V_n_2] :
% 164.74/165.06 ( ! [B_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_n_2))
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.06 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) ) )
% 164.74/165.06 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_n_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.06 => ~ hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) )
% 164.74/165.06 => c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2) = hAPP(hAPP(c_List_Otake(T_b),V_n_2),V_xs_2) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_length__takeWhile__less__P__nth,axiom,
% 164.74/165.06 ! [V_xs_2,T_b,V_Pa_2,V_j_2] :
% 164.74/165.06 ( ! [B_i] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_i),V_j_2))
% 164.74/165.06 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_i))) )
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),V_j_2),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),c_List_OtakeWhile(T_b,V_Pa_2,V_xs_2)))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_sorted_Osimps,axiom,
% 164.74/165.06 ! [V_aa_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( c_List_Olinorder__class_Osorted(T_b,V_aa_2)
% 164.74/165.06 <=> ( V_aa_2 = c_List_Olist_ONil(T_b)
% 164.74/165.06 | ? [B_xs,B_x] :
% 164.74/165.06 ( V_aa_2 = hAPP(hAPP(c_List_Olist_OCons(T_b),B_x),B_xs)
% 164.74/165.06 & ! [B_xa] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),hAPP(c_List_Oset(T_b),B_xs)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),B_x),B_xa)) )
% 164.74/165.06 & c_List_Olinorder__class_Osorted(T_b,B_xs) ) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__removeAll__inj__on,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_List_Oinsert__def,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 )
% 164.74/165.06 & ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_removeAll__append,axiom,
% 164.74/165.06 ! [V_ys,V_xs,V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Oappend(T_a),V_xs),V_ys)) = hAPP(hAPP(c_List_Oappend(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs)),hAPP(c_List_OremoveAll(T_a,V_x),V_ys)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_insert__remdups,axiom,
% 164.74/165.06 ! [V_xs,V_x,T_a] : c_List_Oinsert(T_a,V_x,c_List_Oremdups(T_a,V_xs)) = c_List_Oremdups(T_a,c_List_Oinsert(T_a,V_x,V_xs)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_removeAll__id,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2) = V_xs_2 ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_removeAll__filter__not__eq,axiom,
% 164.74/165.06 ! [V_x_2,T_b] : c_List_OremoveAll(T_b,V_x_2) = c_List_Ofilter(T_b,hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),hAPP(c_fequal,V_x_2))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_removeAll__filter__not,axiom,
% 164.74/165.06 ! [V_xs_2,T_b,V_x_2,V_Pa_2] :
% 164.74/165.06 ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.06 => hAPP(c_List_OremoveAll(T_b,V_x_2),hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2)) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__insert,axiom,
% 164.74/165.06 ! [V_x,V_xs,T_a] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 164.74/165.06 => hBOOL(hAPP(c_List_Odistinct(T_a),c_List_Oinsert(T_a,V_x,V_xs))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__removeAll,axiom,
% 164.74/165.06 ! [V_x,V_xs,T_a] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 164.74/165.06 => hBOOL(hAPP(c_List_Odistinct(T_a),hAPP(c_List_OremoveAll(T_a,V_x),V_xs))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_removeAll_Osimps_I2_J,axiom,
% 164.74/165.06 ! [V_xs,T_a,V_y,V_x] :
% 164.74/165.06 ( ( V_x = V_y
% 164.74/165.06 => hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) )
% 164.74/165.06 & ( V_x != V_y
% 164.74/165.06 => hAPP(c_List_OremoveAll(T_a,V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),hAPP(c_List_OremoveAll(T_a,V_x),V_xs)) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_removeAll_Osimps_I1_J,axiom,
% 164.74/165.06 ! [V_x,T_a] : hAPP(c_List_OremoveAll(T_a,V_x),c_List_Olist_ONil(T_a)) = c_List_Olist_ONil(T_a) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__remove1__removeAll,axiom,
% 164.74/165.06 ! [V_x,V_xs,T_a] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(T_a),V_xs))
% 164.74/165.06 => c_List_Oremove1(T_a,V_x,V_xs) = hAPP(c_List_OremoveAll(T_a,V_x),V_xs) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_in__set__insert,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = V_xs_2 ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_List_Oset__insert,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oinsert(T_b,V_x_2,V_xs_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_insert__Nil,axiom,
% 164.74/165.06 ! [V_x,T_a] : c_List_Oinsert(T_a,V_x,c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_map__removeAll__inj,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,V_f_2,T_c,T_b] :
% 164.74/165.06 ( c_Fun_Oinj__on(T_b,T_c,V_f_2,c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool)))
% 164.74/165.06 => hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(c_List_OremoveAll(T_c,hAPP(V_f_2,V_x_2)),hAPP(hAPP(c_List_Omap(T_b,T_c),V_f_2),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_set__removeAll,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] : hAPP(c_List_Oset(T_b),hAPP(c_List_OremoveAll(T_b,V_x_2),V_xs_2)) = hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),V_xs_2)),hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_not__in__set__insert,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.06 ( ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => c_List_Oinsert(T_b,V_x_2,V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_maps__def,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) = c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_concat__map__maps,axiom,
% 164.74/165.06 ! [V_xs_2,V_f_2,T_c,T_b] : c_List_Oconcat(T_b,hAPP(hAPP(c_List_Omap(T_c,tc_List_Olist(T_b)),V_f_2),V_xs_2)) = c_List_Omaps(T_c,T_b,V_f_2,V_xs_2) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_maps__simps_I2_J,axiom,
% 164.74/165.06 ! [V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,c_List_Olist_ONil(T_c)) = c_List_Olist_ONil(T_b) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_maps__simps_I1_J,axiom,
% 164.74/165.06 ! [V_xs_2,V_x_2,V_f_2,T_b,T_c] : c_List_Omaps(T_c,T_b,V_f_2,hAPP(hAPP(c_List_Olist_OCons(T_c),V_x_2),V_xs_2)) = hAPP(hAPP(c_List_Oappend(T_b),hAPP(V_f_2,V_x_2)),c_List_Omaps(T_c,T_b,V_f_2,V_xs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_distinct__concat,axiom,
% 164.74/165.06 ! [V_xs_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(c_List_Odistinct(tc_List_Olist(T_b)),V_xs_2))
% 164.74/165.06 => ( ! [B_ys] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.06 => hBOOL(hAPP(c_List_Odistinct(T_b),B_ys)) )
% 164.74/165.06 => ( ! [B_ys] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_ys),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.06 => ! [B_zs] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_zs),hAPP(c_List_Oset(tc_List_Olist(T_b)),V_xs_2)))
% 164.74/165.06 => ( B_ys != B_zs
% 164.74/165.06 => hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_HOL_Obool)),hAPP(c_List_Oset(T_b),B_ys)),hAPP(c_List_Oset(T_b),B_zs)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) ) ) )
% 164.74/165.06 => hBOOL(hAPP(c_List_Odistinct(T_b),c_List_Oconcat(T_b,V_xs_2))) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_measures__lesseq,axiom,
% 164.74/165.06 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 164.74/165.06 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_wf__measures,axiom,
% 164.74/165.06 ! [V_fs_2,T_b] : c_Wellfounded_Owf(T_b,c_List_Omeasures(T_b,V_fs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_in__measures_I1_J,axiom,
% 164.74/165.06 ! [V_y_2,V_x_2,T_b] : ~ hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,c_List_Olist_ONil(tc_fun(T_b,tc_Nat_Onat))))) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_measures__def,axiom,
% 164.74/165.06 ! [V_fs_2,T_b] : c_List_Omeasures(T_b,V_fs_2) = hAPP(hAPP(c_Relation_Oinv__image(tc_List_Olist(tc_Nat_Onat),T_b),c_List_Olex(tc_Nat_Onat,c_Wellfounded_Oless__than)),hAPP(hAPP(c_COMBC(T_b,tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat),tc_fun(tc_List_Olist(tc_fun(T_b,tc_Nat_Onat)),tc_List_Olist(tc_Nat_Onat)),T_b),c_List_Omap(tc_fun(T_b,tc_Nat_Onat),tc_Nat_Onat)),hAPP(c_COMBC(tc_fun(T_b,tc_Nat_Onat),T_b,tc_Nat_Onat),c_COMBI(tc_fun(T_b,tc_Nat_Onat))))),V_fs_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_measures__less,axiom,
% 164.74/165.06 ! [V_fs_2,T_b,V_y_2,V_x_2,V_f_2] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2)))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_in__measures_I2_J,axiom,
% 164.74/165.06 ! [V_fs_2,V_f_2,V_y_2,V_x_2,T_b] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,hAPP(hAPP(c_List_Olist_OCons(tc_fun(T_b,tc_Nat_Onat)),V_f_2),V_fs_2))))
% 164.74/165.06 <=> ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(V_f_2,V_x_2)),hAPP(V_f_2,V_y_2)))
% 164.74/165.06 | ( hAPP(V_f_2,V_x_2) = hAPP(V_f_2,V_y_2)
% 164.74/165.06 & hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_x_2),V_y_2)),c_List_Omeasures(T_b,V_fs_2))) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_foldl__apply,axiom,
% 164.74/165.06 ! [V_s_2,V_g_2,V_h_2,V_f_2,T_c,T_d,V_xs_2,T_b] :
% 164.74/165.06 ( ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => hAPP(c_Fun_Ocomp(T_d,T_d,T_c,hAPP(V_f_2,B_x)),V_h_2) = hAPP(c_Fun_Ocomp(T_c,T_d,T_c,V_h_2),hAPP(V_g_2,B_x)) )
% 164.74/165.06 => hAPP(c_List_Ofoldl(T_d,T_b,hAPP(c_COMBC(T_b,T_d,T_d),V_f_2),hAPP(V_h_2,V_s_2)),V_xs_2) = hAPP(V_h_2,hAPP(c_List_Ofoldl(T_c,T_b,hAPP(c_COMBC(T_b,T_c,T_c),V_g_2),V_s_2),V_xs_2)) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_zip__obtain__same__length,axiom,
% 164.74/165.06 ! [V_Pa_2,V_ys_2,T_c,V_xs_2,T_b] :
% 164.74/165.06 ( ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(hAPP(c_List_Otake(T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_xs_2)) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),hAPP(hAPP(c_List_Otake(T_c),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_xs_2)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_ys_2))),V_ys_2))
% 164.74/165.06 => hBOOL(hAPP(V_Pa_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)))) )
% 164.74/165.06 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Ozip(T_b,T_c),V_xs_2),V_ys_2))) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_pos__not__random__dseq__def,axiom,
% 164.74/165.06 ! [V_seed_2,V_size_2,V_nrandom_2,V_R_2] : c_New__Random__Sequence_Opos__not__random__dseq(V_R_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__not__seq(hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2)) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_dropWhile__append2,axiom,
% 164.74/165.06 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 164.74/165.06 ( ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.74/165.06 => c_List_OdropWhile(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2)) = c_List_OdropWhile(T_b,V_Pa_2,V_ys_2) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_list__all2__all__nthI,axiom,
% 164.74/165.06 ! [V_Pa_2,V_b_2,T_c,V_aa_2,T_b] :
% 164.74/165.06 ( hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_aa_2) = hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_b_2)
% 164.74/165.06 => ( ! [B_n] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),B_n),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),V_aa_2)))
% 164.74/165.06 => hBOOL(hAPP(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_aa_2),B_n)),hAPP(hAPP(c_List_Onth(T_c),V_b_2),B_n))) )
% 164.74/165.06 => c_List_Olist__all2(T_b,T_c,V_Pa_2,V_aa_2,V_b_2) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_finite__sorted__distinct__unique,axiom,
% 164.74/165.06 ! [V_A_2,T_b] :
% 164.74/165.06 ( class_Orderings_Olinorder(T_b)
% 164.74/165.06 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.06 => ? [B_x] :
% 164.74/165.06 ( hAPP(c_List_Oset(T_b),B_x) = V_A_2
% 164.74/165.06 & c_List_Olinorder__class_Osorted(T_b,B_x)
% 164.74/165.06 & hBOOL(hAPP(c_List_Odistinct(T_b),B_x))
% 164.74/165.06 & ! [B_y] :
% 164.74/165.06 ( ( hAPP(c_List_Oset(T_b),B_y) = V_A_2
% 164.74/165.06 & c_List_Olinorder__class_Osorted(T_b,B_y)
% 164.74/165.06 & hBOOL(hAPP(c_List_Odistinct(T_b),B_y)) )
% 164.74/165.06 => B_y = B_x ) ) ) ) ).
% 164.74/165.06
% 164.74/165.06 fof(fact_takeWhile__append2,axiom,
% 164.74/165.06 ! [V_ys_2,V_Pa_2,V_xs_2,T_b] :
% 164.74/165.06 ( ! [B_x] :
% 164.74/165.06 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.06 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.74/165.06 => c_List_OtakeWhile(T_b,V_Pa_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_Pa_2,V_ys_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_insort__is__Cons,axiom,
% 164.74/165.07 ! [V_aa_2,V_f_2,V_xs_2,T_b,T_c] :
% 164.74/165.07 ( class_Orderings_Olinorder(T_c)
% 164.74/165.07 => ( ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_c),hAPP(V_f_2,V_aa_2)),hAPP(V_f_2,B_x))) )
% 164.74/165.07 => hAPP(hAPP(c_List_Olinorder__class_Oinsort__key(T_b,T_c,V_f_2),V_aa_2),V_xs_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_aa_2),V_xs_2) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_filter__eq__Cons__iff,axiom,
% 164.74/165.07 ! [V_xs_2,V_x_2,V_ys_2,V_Pa_2,T_b] :
% 164.74/165.07 ( hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2) = hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)
% 164.74/165.07 <=> ? [B_us,B_vs] :
% 164.74/165.07 ( 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))
% 164.74/165.07 & ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 164.74/165.07 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.74/165.07 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.07 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_Cons__eq__filter__iff,axiom,
% 164.74/165.07 ! [V_ys_2,V_Pa_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.07 ( hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2) = hAPP(c_List_Ofilter(T_b,V_Pa_2),V_ys_2)
% 164.74/165.07 <=> ? [B_us,B_vs] :
% 164.74/165.07 ( 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))
% 164.74/165.07 & ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),B_us)))
% 164.74/165.07 => ~ hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.74/165.07 & hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.07 & V_xs_2 = hAPP(c_List_Ofilter(T_b,V_Pa_2),B_vs) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__ball__nth,axiom,
% 164.74/165.07 ! [V_Pa_2,V_xs_2,T_b,V_n_2] :
% 164.74/165.07 ( 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)))
% 164.74/165.07 => ( ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.74/165.07 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),V_n_2))) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_sorted_OCons,axiom,
% 164.74/165.07 ! [V_x_2,V_xs_2,T_b] :
% 164.74/165.07 ( class_Orderings_Olinorder(T_b)
% 164.74/165.07 => ( ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_b),V_x_2),B_x)) )
% 164.74/165.07 => ( c_List_Olinorder__class_Osorted(T_b,V_xs_2)
% 164.74/165.07 => c_List_Olinorder__class_Osorted(T_b,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)) ) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__ex__length,axiom,
% 164.74/165.07 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.07 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 164.74/165.07 <=> ? [B_n] :
% 164.74/165.07 ( 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)))
% 164.74/165.07 & hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_in__set__conv__decomp,axiom,
% 164.74/165.07 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 <=> ? [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)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__ex__simps_I1_J,axiom,
% 164.74/165.07 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 164.74/165.07 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 164.74/165.07 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.07 | c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__ex__rev,axiom,
% 164.74/165.07 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.07 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 164.74/165.07 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__ex__iff,axiom,
% 164.74/165.07 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.07 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 164.74/165.07 <=> ? [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__ex__append,axiom,
% 164.74/165.07 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 164.74/165.07 ( c_List_Olist__ex(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 164.74/165.07 <=> ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 164.74/165.07 | c_List_Olist__ex(T_b,V_Pa_2,V_ys_2) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__ex__simps_I2_J,axiom,
% 164.74/165.07 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_in__set__conv__decomp__first,axiom,
% 164.74/165.07 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 <=> ? [B_ys] :
% 164.74/165.07 ( ? [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))
% 164.74/165.07 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_ys))) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_in__set__conv__decomp__last,axiom,
% 164.74/165.07 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 <=> ? [B_ys,B_zs] :
% 164.74/165.07 ( 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))
% 164.74/165.07 & ~ hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),B_zs))) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__all__length,axiom,
% 164.74/165.07 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.07 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 164.74/165.07 <=> ! [B_n] :
% 164.74/165.07 ( 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)))
% 164.74/165.07 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_List_Onth(T_b),V_xs_2),B_n))) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_measure__function__int,axiom,
% 164.74/165.07 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))) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__all__simps_I1_J,axiom,
% 164.74/165.07 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 164.74/165.07 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 164.74/165.07 <=> ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.07 & c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__all__rev,axiom,
% 164.74/165.07 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.07 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(c_List_Orev(T_b),V_xs_2))
% 164.74/165.07 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_measure__fst,axiom,
% 164.74/165.07 ! [T_c,V_f_2,T_b] :
% 164.74/165.07 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 164.74/165.07 => c_FunDef_Ois__measure(tc_prod(T_b,T_c),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_b,T_c)),V_f_2),c_Product__Type_Ofst(T_b,T_c))) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_measure__snd,axiom,
% 164.74/165.07 ! [T_c,V_f_2,T_b] :
% 164.74/165.07 ( c_FunDef_Ois__measure(T_b,V_f_2)
% 164.74/165.07 => c_FunDef_Ois__measure(tc_prod(T_c,T_b),hAPP(hAPP(c_COMBB(T_b,tc_Nat_Onat,tc_prod(T_c,T_b)),V_f_2),c_Product__Type_Osnd(T_c,T_b))) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__all__iff,axiom,
% 164.74/165.07 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.07 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 164.74/165.07 <=> ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_measure__size,axiom,
% 164.74/165.07 ! [T_b] :
% 164.74/165.07 ( class_Nat_Osize(T_b)
% 164.74/165.07 => c_FunDef_Ois__measure(T_b,c_Nat_Osize__class_Osize(T_b)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_is__measure_Osimps,axiom,
% 164.74/165.07 ! [V_aa_2,T_b] : c_FunDef_Ois__measure(T_b,V_aa_2) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_is__measure_Oequations,axiom,
% 164.74/165.07 ! [V_aa_2,T_b] : c_FunDef_Ois__measure(T_b,V_aa_2) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_is__measure_Ointros,axiom,
% 164.74/165.07 ! [V_f_2,T_b] : c_FunDef_Ois__measure(T_b,V_f_2) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__all__append,axiom,
% 164.74/165.07 ! [V_ys_2,V_xs_2,V_Pa_2,T_b] :
% 164.74/165.07 ( c_List_Olist__all(T_b,V_Pa_2,hAPP(hAPP(c_List_Oappend(T_b),V_xs_2),V_ys_2))
% 164.74/165.07 <=> ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 164.74/165.07 & c_List_Olist__all(T_b,V_Pa_2,V_ys_2) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_Ball__set__list__all,axiom,
% 164.74/165.07 ! [V_Pa_2,V_xs_2,T_b] :
% 164.74/165.07 ( ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.74/165.07 <=> c_List_Olist__all(T_b,V_Pa_2,V_xs_2) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__all__simps_I2_J,axiom,
% 164.74/165.07 ! [V_Pa_2,T_b] : c_List_Olist__all(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__all__iff__raw,axiom,
% 164.74/165.07 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.07 ( c_List_Olist__all(T_b,V_Pa_2,V_xs_2)
% 164.74/165.07 <=> ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__ex1__simps_I2_J,axiom,
% 164.74/165.07 ! [V_xs_2,V_x_2,V_Pa_2,T_b] :
% 164.74/165.07 ( c_List_Olist__ex1(T_b,V_Pa_2,hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2))
% 164.74/165.07 <=> ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.07 => c_List_Olist__all(T_b,hAPP(hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fdisj),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot),V_Pa_2))),hAPP(c_fequal,V_x_2)),V_xs_2) )
% 164.74/165.07 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.07 => c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2) ) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_finite__induct,axiom,
% 164.74/165.07 ! [V_Pa_2,V_F_2,T_b] :
% 164.74/165.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_F_2))
% 164.74/165.07 => ( hBOOL(hAPP(V_Pa_2,c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 164.74/165.07 => ( ! [B_x,B_F] :
% 164.74/165.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_F))
% 164.74/165.07 => ( ~ hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_F))
% 164.74/165.07 => ( hBOOL(hAPP(V_Pa_2,B_F))
% 164.74/165.07 => hBOOL(hAPP(V_Pa_2,hAPP(hAPP(c_Set_Oinsert(T_b),B_x),B_F))) ) ) )
% 164.74/165.07 => hBOOL(hAPP(V_Pa_2,V_F_2)) ) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__ex1__simps_I1_J,axiom,
% 164.74/165.07 ! [V_Pa_2,T_b] : ~ c_List_Olist__ex1(T_b,V_Pa_2,c_List_Olist_ONil(T_b)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_bool_Osize_I3_J,axiom,
% 164.74/165.07 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fTrue) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_bool_Osize_I4_J,axiom,
% 164.74/165.07 hAPP(c_Nat_Osize__class_Osize(tc_HOL_Obool),c_fFalse) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__ex1__iff,axiom,
% 164.74/165.07 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.07 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 164.74/165.07 <=> ? [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 & hBOOL(hAPP(V_Pa_2,B_x))
% 164.74/165.07 & ! [B_y] :
% 164.74/165.07 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 164.74/165.07 => B_y = B_x ) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_transfer__morphism__int__nat,axiom,
% 164.74/165.07 c_Nat__Transfer_Otransfer__morphism(tc_Nat_Onat,tc_Int_Oint,c_Nat_Osemiring__1__class_Oof__nat(tc_Int_Oint),hAPP(c_COMBK(tc_HOL_Obool,tc_Nat_Onat),c_fTrue)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_New__DSequence_Oneg__decr__bind__def,axiom,
% 164.74/165.07 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 164.74/165.07 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 164.74/165.07 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohit__bound(T_b) )
% 164.74/165.07 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 164.74/165.07 => hAPP(c_New__DSequence_Oneg__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_New__Random__Sequence_Oneg__decr__bind__def,axiom,
% 164.74/165.07 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Oneg__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Oneg__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_New__DSequence_Oneg__bind__def,axiom,
% 164.74/165.07 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Oneg__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Ohb__bind(T_c,T_b,hAPP(V_x_2,V_i_2),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))),V_f_2),V_i_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_neg__bind__def,axiom,
% 164.74/165.07 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b))))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(tc_Option_Ooption(T_b)))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_New__DSequence_Opos__decr__bind__def,axiom,
% 164.74/165.07 ! [V_f_2,V_x_2,T_b,T_c,V_i_2] :
% 164.74/165.07 ( ( V_i_2 = c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 164.74/165.07 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = c_Lazy__Sequence_Oempty(T_b) )
% 164.74/165.07 & ( V_i_2 != c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)
% 164.74/165.07 => hAPP(c_New__DSequence_Opos__decr__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_i_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_New__Random__Sequence_Opos__decr__bind__def,axiom,
% 164.74/165.07 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : c_New__Random__Sequence_Opos__decr__bind(T_c,T_b,V_R_2,V_f_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__decr__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_New__DSequence_Opos__empty__def,axiom,
% 164.74/165.07 ! [V_i_1,T_a] : hAPP(c_New__DSequence_Opos__empty(T_a),V_i_1) = c_Lazy__Sequence_Oempty(T_a) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_pos__empty__def,axiom,
% 164.74/165.07 ! [V_seed_2,V_size_2,V_nrandom_2,T_b] : c_New__Random__Sequence_Opos__empty(T_b,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__empty(T_b) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_New__DSequence_Opos__bind__def,axiom,
% 164.74/165.07 ! [V_i_2,V_f_2,V_x_2,T_b,T_c] : hAPP(c_New__DSequence_Opos__bind(T_c,T_b,V_x_2,V_f_2),V_i_2) = hAPP(c_Lazy__Sequence_Obind(T_c,T_b,hAPP(V_x_2,V_i_2)),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)),V_f_2),V_i_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_pos__bind__def,axiom,
% 164.74/165.07 ! [V_seed_2,V_size_2,V_nrandom_2,V_f_2,V_R_2,T_b,T_c] : hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__bind(T_c,T_b,V_R_2,V_f_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__bind(T_c,T_b,hAPP(hAPP(hAPP(V_R_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(c_COMBC(T_c,tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b)))),hAPP(hAPP(c_COMBC(T_c,tc_Code__Numeral_Ocode__numeral,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_Lazy__Sequence_Olazy__sequence(T_b))))),V_f_2),V_nrandom_2)),V_size_2)),V_seed_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_neg__map__def,axiom,
% 164.74/165.07 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Oneg__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Oneg__bind(T_c,T_b,V_Pa_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)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_neg__single__def,axiom,
% 164.74/165.07 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Oneg__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Oneg__single(T_b,V_x_2) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_pos__map__def,axiom,
% 164.74/165.07 ! [V_Pa_2,V_f_2,T_b,T_c] : c_New__Random__Sequence_Opos__map(T_c,T_b,V_f_2,V_Pa_2) = c_New__Random__Sequence_Opos__bind(T_c,T_b,V_Pa_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)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_New__DSequence_Oneg__single__def,axiom,
% 164.74/165.07 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Oneg__single(T_a,V_x),V_i_1) = c_Lazy__Sequence_Ohb__single(T_a,V_x) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_pos__single__def,axiom,
% 164.74/165.07 ! [V_seed_2,V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(hAPP(c_New__Random__Sequence_Opos__single(T_b),V_x_2),V_nrandom_2),V_size_2),V_seed_2) = c_New__DSequence_Opos__single(T_b,V_x_2) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_New__DSequence_Opos__single__def,axiom,
% 164.74/165.07 ! [V_i_1,V_x,T_a] : hAPP(c_New__DSequence_Opos__single(T_a,V_x),V_i_1) = hAPP(c_Lazy__Sequence_Osingle(T_a),V_x) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_length__splice,axiom,
% 164.74/165.07 ! [V_ys,V_xs,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Osplice(T_a,V_xs,V_ys)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_xs)),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),V_ys)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_splice_Osimps_I3_J,axiom,
% 164.74/165.07 ! [V_ys,V_y,V_xs,V_x,T_a] : c_List_Osplice(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),V_ys)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Olist_OCons(T_a),V_y),c_List_Osplice(T_a,V_xs,V_ys))) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_splice__Nil2,axiom,
% 164.74/165.07 ! [V_xs,T_a] : c_List_Osplice(T_a,V_xs,c_List_Olist_ONil(T_a)) = V_xs ).
% 164.74/165.07
% 164.74/165.07 fof(fact_splice_Osimps_I1_J,axiom,
% 164.74/165.07 ! [V_ys,T_a] : c_List_Osplice(T_a,c_List_Olist_ONil(T_a),V_ys) = V_ys ).
% 164.74/165.07
% 164.74/165.07 fof(fact_splice_Osimps_I2_J,axiom,
% 164.74/165.07 ! [V_va,V_v,T_a] : c_List_Osplice(T_a,hAPP(hAPP(c_List_Olist_OCons(T_a),V_v),V_va),c_List_Olist_ONil(T_a)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_v),V_va) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_,axiom,
% 164.74/165.07 ! [V_s2_2,V_s1_2,T_c,T_b] : c_Lazy__Sequence_Oproduct(T_b,T_c,V_s1_2,V_s2_2) = hAPP(c_Lazy__Sequence_Obind(T_b,tc_prod(T_b,T_c),V_s1_2),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_b),c_Lazy__Sequence_Obind(T_c,tc_prod(T_b,T_c),V_s2_2)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c))),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_Lazy__Sequence_Olazy__sequence(tc_prod(T_b,T_c)),T_c),c_Lazy__Sequence_Osingle(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_acyclicP__converse,axiom,
% 164.74/165.07 ! [V_r_2,T_b] :
% 164.74/165.07 ( c_Wellfounded_Oacyclic(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),c_Predicate_Oconversep(T_b,T_b,V_r_2))))
% 164.74/165.07 <=> 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))) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_converse__pred__comp,axiom,
% 164.74/165.07 ! [V_s_2,V_r_2,T_d,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Opred__comp(T_c,T_d,T_b,V_r_2,V_s_2)) = c_Predicate_Opred__comp(T_b,T_d,T_c,c_Predicate_Oconversep(T_d,T_b,V_s_2),c_Predicate_Oconversep(T_c,T_d,V_r_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_conversep__eq,axiom,
% 164.74/165.07 ! [T_b] : c_Predicate_Oconversep(T_b,T_b,c_fequal) = c_fequal ).
% 164.74/165.07
% 164.74/165.07 fof(fact_conversep__conversep,axiom,
% 164.74/165.07 ! [V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,c_Predicate_Oconversep(T_b,T_c,V_r_2)) = V_r_2 ).
% 164.74/165.07
% 164.74/165.07 fof(fact_conversep__iff,axiom,
% 164.74/165.07 ! [V_b_2,V_aa_2,V_r_2,T_c,T_b] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_aa_2),V_b_2))
% 164.74/165.07 <=> hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_aa_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_conversep_Oequations,axiom,
% 164.74/165.07 ! [V_a1_2,V_a2_2,V_r_2,T_c,T_b] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_a2_2),V_a1_2))
% 164.74/165.07 <=> hBOOL(hAPP(hAPP(V_r_2,V_a1_2),V_a2_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_conversep_Ointros,axiom,
% 164.74/165.07 ! [T_c,T_b,V_b_2,V_aa_2,V_r_2] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(V_r_2,V_aa_2),V_b_2))
% 164.74/165.07 => hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_b_2),V_aa_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_conversepD,axiom,
% 164.74/165.07 ! [V_b_2,V_aa_2,V_r_2,T_c,T_b] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,V_r_2),V_aa_2),V_b_2))
% 164.74/165.07 => hBOOL(hAPP(hAPP(V_r_2,V_b_2),V_aa_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_conversep__noteq,axiom,
% 164.74/165.07 ! [V_y_2,V_x_2,T_b] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_b,hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_b),hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,T_b),c_fNot)),c_fequal)),V_x_2),V_y_2))
% 164.74/165.07 <=> V_x_2 != V_y_2 ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_converse__join,axiom,
% 164.74/165.07 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_converse__meet,axiom,
% 164.74/165.07 ! [V_s_2,V_r_2,T_b,T_c] : c_Predicate_Oconversep(T_c,T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool))),V_r_2),V_s_2)) = hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(T_b,tc_fun(T_c,tc_HOL_Obool))),c_Predicate_Oconversep(T_c,T_b,V_r_2)),c_Predicate_Oconversep(T_c,T_b,V_s_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_conversep__converse__eq,axiom,
% 164.74/165.07 ! [V_y_2,V_x_2,V_r_2,T_c,T_b] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_Predicate_Oconversep(T_b,T_c,hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool)),T_b),c_COMBC(T_c,tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_prod(T_b,T_c)),tc_fun(T_c,tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool)),T_b),hAPP(c_COMBB(tc_prod(T_b,T_c),tc_fun(tc_fun(tc_prod(T_b,T_c),tc_HOL_Obool),tc_HOL_Obool),T_c),c_member(tc_prod(T_b,T_c)))),c_Product__Type_OPair(T_b,T_c)))),V_r_2)),V_x_2),V_y_2))
% 164.74/165.07 <=> hBOOL(hAPP(hAPP(c_member(tc_prod(T_c,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_c,T_b),V_x_2),V_y_2)),hAPP(c_Relation_Oconverse(T_b,T_c),V_r_2))) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_small__lazy__list_Osimps,axiom,
% 164.74/165.07 ! [V_d_2,T_b] :
% 164.74/165.07 ( class_Lazy__Sequence_Osmall__lazy(T_b)
% 164.74/165.07 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),V_d_2) = c_Lazy__Sequence_Oappend(tc_List_Olist(T_b),hAPP(c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)),c_List_Olist_ONil(T_b)),hAPP(hAPP(hAPP(c_If(tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),c_Groups_Ozero__class_Ozero(tc_Int_Oint)),V_d_2)),hAPP(c_Lazy__Sequence_Obind(tc_prod(T_b,tc_List_Olist(T_b)),tc_List_Olist(T_b),c_Lazy__Sequence_Oproduct(T_b,tc_List_Olist(T_b),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_List_Olist(T_b),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Int_Oint),V_d_2),c_Groups_Oone__class_Oone(tc_Int_Oint))))),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_List_Olist(T_b),tc_List_Olist(T_b)),tc_fun(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b))),T_b),hAPP(c_COMBB(tc_List_Olist(T_b),tc_Lazy__Sequence_Olazy__sequence(tc_List_Olist(T_b)),tc_List_Olist(T_b)),c_Lazy__Sequence_Osingle(tc_List_Olist(T_b)))),c_List_Olist_OCons(T_b))))),c_Lazy__Sequence_Oempty(tc_List_Olist(T_b)))) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_tl__replicate,axiom,
% 164.74/165.07 ! [V_x,T_a,V_n] :
% 164.74/165.07 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.07 => hAPP(c_List_Otl(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_n),c_Groups_Oone__class_Oone(tc_Nat_Onat)),V_x) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_small__lazy__prod__def,axiom,
% 164.74/165.07 ! [V_d,T_b,T_a] :
% 164.74/165.07 ( ( class_Lazy__Sequence_Osmall__lazy(T_a)
% 164.74/165.07 & class_Lazy__Sequence_Osmall__lazy(T_b) )
% 164.74/165.07 => c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_prod(T_a,T_b),V_d) = c_Lazy__Sequence_Oproduct(T_a,T_b,c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_a,V_d),c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(T_b,V_d)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_replicate__app__Cons__same,axiom,
% 164.74/165.07 ! [V_xs,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),V_xs)) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_xs)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_replicate__Suc,axiom,
% 164.74/165.07 ! [V_x,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(c_Nat_OSuc,V_n),V_x) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_n,V_x)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_in__set__replicate,axiom,
% 164.74/165.07 ! [V_y_2,V_n_2,V_x_2,T_b] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_y_2))))
% 164.74/165.07 <=> ( V_x_2 = V_y_2
% 164.74/165.07 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_rev__replicate,axiom,
% 164.74/165.07 ! [V_x,V_n,T_a] : hAPP(c_List_Orev(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = c_List_Oreplicate(T_a,V_n,V_x) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_last__replicate,axiom,
% 164.74/165.07 ! [V_x,T_a,V_n] :
% 164.74/165.07 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.07 => c_List_Olast(T_a,c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_take__replicate,axiom,
% 164.74/165.07 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Otake(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_k),V_x) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_hd__replicate,axiom,
% 164.74/165.07 ! [V_x,T_a,V_n] :
% 164.74/165.07 ( V_n != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.07 => hAPP(c_List_Ohd(T_a),c_List_Oreplicate(T_a,V_n,V_x)) = V_x ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_drop__replicate,axiom,
% 164.74/165.07 ! [V_x,V_k,V_i,T_a] : hAPP(hAPP(c_List_Odrop(T_a),V_i),c_List_Oreplicate(T_a,V_k,V_x)) = c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Nat_Onat),V_k),V_i),V_x) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_zip__replicate,axiom,
% 164.74/165.07 ! [V_y,V_j,V_x,V_i,T_b,T_a] : hAPP(hAPP(c_List_Ozip(T_a,T_b),c_List_Oreplicate(T_a,V_i,V_x)),c_List_Oreplicate(T_b,V_j,V_y)) = c_List_Oreplicate(tc_prod(T_a,T_b),hAPP(hAPP(c_Orderings_Oord__class_Omin(tc_Nat_Onat),V_i),V_j),hAPP(hAPP(c_Product__Type_OPair(T_a,T_b),V_x),V_y)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_Bex__set__replicate,axiom,
% 164.74/165.07 ! [V_Pa_2,V_aa_2,V_n_2,T_b] :
% 164.74/165.07 ( ? [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_aa_2))))
% 164.74/165.07 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.74/165.07 <=> ( hBOOL(hAPP(V_Pa_2,V_aa_2))
% 164.74/165.07 & V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_Ball__set__replicate,axiom,
% 164.74/165.07 ! [V_Pa_2,V_aa_2,V_n_2,T_b] :
% 164.74/165.07 ( ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_aa_2))))
% 164.74/165.07 => hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.74/165.07 <=> ( hBOOL(hAPP(V_Pa_2,V_aa_2))
% 164.74/165.07 | V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_replicate__eq__replicate,axiom,
% 164.74/165.07 ! [V_y_2,V_n_2,V_x_2,V_m_2,T_b] :
% 164.74/165.07 ( c_List_Oreplicate(T_b,V_m_2,V_x_2) = c_List_Oreplicate(T_b,V_n_2,V_y_2)
% 164.74/165.07 <=> ( V_m_2 = V_n_2
% 164.74/165.07 & ( V_m_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.07 => V_x_2 = V_y_2 ) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_nth__replicate,axiom,
% 164.74/165.07 ! [V_x,T_a,V_n,V_i] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),V_i),V_n))
% 164.74/165.07 => hAPP(hAPP(c_List_Onth(T_a),c_List_Oreplicate(T_a,V_n,V_x)),V_i) = V_x ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_append__replicate__commute,axiom,
% 164.74/165.07 ! [V_k,V_x,V_n,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_k,V_x)) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_k,V_x)),c_List_Oreplicate(T_a,V_n,V_x)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_replicate__add,axiom,
% 164.74/165.07 ! [V_x,V_m,V_n,T_a] : c_List_Oreplicate(T_a,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),V_n),V_m),V_x) = hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_n,V_x)),c_List_Oreplicate(T_a,V_m,V_x)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_filter__replicate,axiom,
% 164.74/165.07 ! [V_n_2,T_b,V_x_2,V_Pa_2] :
% 164.74/165.07 ( ( hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.07 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,V_x_2) )
% 164.74/165.07 & ( ~ hBOOL(hAPP(V_Pa_2,V_x_2))
% 164.74/165.07 => hAPP(c_List_Ofilter(T_b,V_Pa_2),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_List_Olist_ONil(T_b) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_concat__replicate__trivial,axiom,
% 164.74/165.07 ! [V_i,T_a] : c_List_Oconcat(T_a,c_List_Oreplicate(tc_List_Olist(T_a),V_i,c_List_Olist_ONil(T_a))) = c_List_Olist_ONil(T_a) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_replicate__0,axiom,
% 164.74/165.07 ! [V_x,T_a] : c_List_Oreplicate(T_a,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_x) = c_List_Olist_ONil(T_a) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_empty__replicate,axiom,
% 164.74/165.07 ! [V_x_2,V_n_2,T_b] :
% 164.74/165.07 ( c_List_Olist_ONil(T_b) = c_List_Oreplicate(T_b,V_n_2,V_x_2)
% 164.74/165.07 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_replicate__empty,axiom,
% 164.74/165.07 ! [V_x_2,V_n_2,T_b] :
% 164.74/165.07 ( c_List_Oreplicate(T_b,V_n_2,V_x_2) = c_List_Olist_ONil(T_b)
% 164.74/165.07 <=> V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_map__replicate,axiom,
% 164.74/165.07 ! [V_x_2,V_n_2,V_f_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),V_f_2),c_List_Oreplicate(T_c,V_n_2,V_x_2)) = c_List_Oreplicate(T_b,V_n_2,hAPP(V_f_2,V_x_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_replicate__length__filter,axiom,
% 164.74/165.07 ! [V_xs_2,V_x_2,T_b] : c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2)),V_x_2) = hAPP(c_List_Ofilter(T_b,hAPP(c_fequal,V_x_2)),V_xs_2) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_length__replicate,axiom,
% 164.74/165.07 ! [V_x,V_n,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_a)),c_List_Oreplicate(T_a,V_n,V_x)) = V_n ).
% 164.74/165.07
% 164.74/165.07 fof(fact_map__replicate__const,axiom,
% 164.74/165.07 ! [V_lst_2,V_k_2,T_b,T_c] : hAPP(hAPP(c_List_Omap(T_c,T_b),hAPP(c_COMBK(T_b,T_c),V_k_2)),V_lst_2) = c_List_Oreplicate(T_b,hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_c)),V_lst_2),V_k_2) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_replicate__append__same,axiom,
% 164.74/165.07 ! [V_x,V_i,T_a] : hAPP(hAPP(c_List_Oappend(T_a),c_List_Oreplicate(T_a,V_i,V_x)),hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Olist_ONil(T_a))) = hAPP(hAPP(c_List_Olist_OCons(T_a),V_x),c_List_Oreplicate(T_a,V_i,V_x)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_map__replicate__trivial,axiom,
% 164.74/165.07 ! [V_i_2,V_x_2,T_b] : hAPP(hAPP(c_List_Omap(tc_Nat_Onat,T_b),hAPP(c_COMBK(T_b,tc_Nat_Onat),V_x_2)),c_List_Oupt(c_Groups_Ozero__class_Ozero(tc_Nat_Onat),V_i_2)) = c_List_Oreplicate(T_b,V_i_2,V_x_2) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_set__replicate__conv__if,axiom,
% 164.74/165.07 ! [V_x_2,T_b,V_n_2] :
% 164.74/165.07 ( ( V_n_2 = c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.07 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool)) )
% 164.74/165.07 & ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.07 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_set__replicate,axiom,
% 164.74/165.07 ! [V_x_2,T_b,V_n_2] :
% 164.74/165.07 ( V_n_2 != c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 164.74/165.07 => hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,V_n_2,V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_set__replicate__Suc,axiom,
% 164.74/165.07 ! [V_x_2,V_n_2,T_b] : hAPP(c_List_Oset(T_b),c_List_Oreplicate(T_b,hAPP(c_Nat_OSuc,V_n_2),V_x_2)) = hAPP(hAPP(c_Set_Oinsert(T_b),V_x_2),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_New__DSequence_Opos__union__def,axiom,
% 164.74/165.07 ! [V_i_2,V_yq_2,V_xq_2,T_b] : hAPP(c_New__DSequence_Opos__union(T_b,V_xq_2,V_yq_2),V_i_2) = c_Lazy__Sequence_Oappend(T_b,hAPP(V_xq_2,V_i_2),hAPP(V_yq_2,V_i_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_eq__comp__r,axiom,
% 164.74/165.07 ! [V_R_2,T_b] : c_Predicate_Opred__comp(T_b,T_b,T_b,c_fequal,c_Predicate_Opred__comp(T_b,T_b,T_b,V_R_2,c_fequal)) = V_R_2 ).
% 164.74/165.07
% 164.74/165.07 fof(fact_pos__union__def,axiom,
% 164.74/165.07 ! [V_seed_2,V_size_2,V_nrandom_2,V_R2_2,V_R1_2,T_b] : c_New__Random__Sequence_Opos__union(T_b,V_R1_2,V_R2_2,V_nrandom_2,V_size_2,V_seed_2) = c_New__DSequence_Opos__union(T_b,hAPP(hAPP(hAPP(V_R1_2,V_nrandom_2),V_size_2),V_seed_2),hAPP(hAPP(hAPP(V_R2_2,V_nrandom_2),V_size_2),V_seed_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_small__lazy_H_Osimps,axiom,
% 164.74/165.07 ! [V_i,V_d] :
% 164.74/165.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 164.74/165.07 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 164.74/165.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d),V_i))
% 164.74/165.07 => c_Lazy__Sequence_Osmall__lazy_H(V_d,V_i) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i),c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_small__lazy__int__def,axiom,
% 164.74/165.07 ! [V_d] : c_Lazy__Sequence_Osmall__lazy__class_Osmall__lazy(tc_Int_Oint,V_d) = c_Lazy__Sequence_Osmall__lazy_H(V_d,hAPP(c_Groups_Ouminus__class_Ouminus(tc_Int_Oint),V_d)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_small__lazy_H_Opsimps,axiom,
% 164.74/165.07 ! [V_i_2,V_d_2] :
% 164.74/165.07 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_d_2),V_i_2)))
% 164.74/165.07 => ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 164.74/165.07 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oempty(tc_Int_Oint) )
% 164.74/165.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),V_d_2),V_i_2))
% 164.74/165.07 => c_Lazy__Sequence_Osmall__lazy_H(V_d_2,V_i_2) = c_Lazy__Sequence_Oappend(tc_Int_Oint,hAPP(c_Lazy__Sequence_Osingle(tc_Int_Oint),V_i_2),c_Lazy__Sequence_Osmall__lazy_H(V_d_2,hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),V_i_2),c_Groups_Oone__class_Oone(tc_Int_Oint)))) ) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_field__le__epsilon,axiom,
% 164.74/165.07 ! [V_y,V_x,T_a] :
% 164.74/165.07 ( class_Fields_Olinordered__field(T_a)
% 164.74/165.07 => ( ! [B_e] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(T_a),c_Groups_Ozero__class_Ozero(T_a)),B_e))
% 164.74/165.07 => 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))) )
% 164.74/165.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(T_a),V_x),V_y)) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_small__lazy_H_Opinduct,axiom,
% 164.74/165.07 ! [V_Pa_2,V_a1_2,V_a0_2] :
% 164.74/165.07 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),V_a0_2),V_a1_2)))
% 164.74/165.07 => ( ! [B_d,B_i] :
% 164.74/165.07 ( hBOOL(hAPP(c_Wellfounded_Oaccp(tc_prod(tc_Int_Oint,tc_Int_Oint),c_Lazy__Sequence_Osmall__lazy_H__rel),hAPP(hAPP(c_Product__Type_OPair(tc_Int_Oint,tc_Int_Oint),B_d),B_i)))
% 164.74/165.07 => ( ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Int_Oint),B_d),B_i))
% 164.74/165.07 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Int_Oint),B_i),c_Groups_Oone__class_Oone(tc_Int_Oint)))) )
% 164.74/165.07 => hBOOL(hAPP(hAPP(V_Pa_2,B_d),B_i)) ) )
% 164.74/165.07 => hBOOL(hAPP(hAPP(V_Pa_2,V_a0_2),V_a1_2)) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_lazy__sequence_Osize_I4_J,axiom,
% 164.74/165.07 ! [V_lazy__sequence,V_a,T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a,V_lazy__sequence)) = hAPP(hAPP(c_Groups_Oplus__class_Oplus(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),V_lazy__sequence)),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_lazy__sequence_Oinject,axiom,
% 164.74/165.07 ! [V_lazy__sequence_H_2,V_a_H_2,V_lazy__sequence_2,V_aa_2,T_b] :
% 164.74/165.07 ( c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_aa_2,V_lazy__sequence_2) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_b,V_a_H_2,V_lazy__sequence_H_2)
% 164.74/165.07 <=> ( V_aa_2 = V_a_H_2
% 164.74/165.07 & V_lazy__sequence_2 = V_lazy__sequence_H_2 ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_2,axiom,
% 164.74/165.07 ! [V_yq,V_xq,V_x,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,V_xq),V_yq) = c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_x,c_Lazy__Sequence_Oappend(T_a,V_xq,V_yq)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_lazy__sequence_Osize_I2_J,axiom,
% 164.74/165.07 ! [V_lazy__sequence_2,V_aa_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_aa_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_aa_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))) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_size__code,axiom,
% 164.74/165.07 ! [V_xq_2,T_b] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(c_COMBK(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),T_b),hAPP(hAPP(c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_b)))),c_Groups_Oone__class_Oone(tc_Nat_Onat)))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_lazy__sequence__size__code,axiom,
% 164.74/165.07 ! [V_xq_2,V_s_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2),V_xq_2) = c_Option_Ooption_Ooption__case(tc_Nat_Onat,tc_prod(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),hAPP(hAPP(c_COMBC(T_b,tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),tc_fun(tc_Nat_Onat,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBC(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat,tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_fun(tc_Nat_Onat,tc_Nat_Onat)),T_b),hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_Lazy__Sequence_Olazy__sequence(T_b)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),hAPP(hAPP(c_COMBB(tc_fun(tc_Nat_Onat,tc_Nat_Onat),tc_fun(tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat),tc_fun(tc_Lazy__Sequence_Olazy__sequence(T_b),tc_Nat_Onat)),T_b),c_COMBB(tc_Nat_Onat,tc_Nat_Onat,tc_Lazy__Sequence_Olazy__sequence(T_b))),hAPP(hAPP(c_COMBB(tc_Nat_Onat,tc_fun(tc_Nat_Onat,tc_Nat_Onat),T_b),c_Groups_Oplus__class_Oplus(tc_Nat_Onat)),V_s_2))),c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_s_2))))),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(c_Lazy__Sequence_Oyield(T_b),V_xq_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_seq__case,axiom,
% 164.74/165.07 ! [V_xq_2,V_g_2,V_f_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f_2,V_g_2,V_xq_2) = c_Option_Ooption_Ooption__case(T_b,tc_prod(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c)),V_f_2,hAPP(c_Product__Type_Oprod_Oprod__case(T_c,tc_Lazy__Sequence_Olazy__sequence(T_c),T_b),V_g_2),hAPP(c_Lazy__Sequence_Oyield(T_c),V_xq_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_yieldn__def,axiom,
% 164.74/165.07 ! [T_b] : c_Lazy__Sequence_Oyieldn(T_b) = c_Lazy__Sequence_Oanamorph(tc_Lazy__Sequence_Olazy__sequence(T_b),T_b,c_Lazy__Sequence_Oyield(T_b)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_lazy__sequence_Osimps_I5_J,axiom,
% 164.74/165.07 ! [V_lazy__sequence_2,V_aa_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_aa_2,V_lazy__sequence_2)) = hAPP(hAPP(V_f2_2,V_aa_2),V_lazy__sequence_2) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_refl__on__INTER,axiom,
% 164.74/165.07 ! [V_r_2,V_A_2,T_c,V_S_2,T_b] :
% 164.74/165.07 ( ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_S_2))
% 164.74/165.07 => c_Relation_Orefl__on(T_c,hAPP(V_A_2,B_x),hAPP(V_r_2,B_x)) )
% 164.74/165.07 => c_Relation_Orefl__on(T_c,hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_HOL_Obool)),V_S_2),V_A_2),hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(tc_prod(T_c,T_c),tc_HOL_Obool)),V_S_2),V_r_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_in__set__member,axiom,
% 164.74/165.07 ! [V_xs_2,V_x_2,T_b] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 <=> hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_member__rec_I2_J,axiom,
% 164.74/165.07 ! [V_y,T_a] : ~ hBOOL(hAPP(hAPP(c_List_Omember(T_a),c_List_Olist_ONil(T_a)),V_y)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_member__set,axiom,
% 164.74/165.07 ! [T_b] : c_List_Omember(T_b) = c_List_Oset(T_b) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_member__rec_I1_J,axiom,
% 164.74/165.07 ! [V_y_2,V_xs_2,V_x_2,T_b] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),hAPP(hAPP(c_List_Olist_OCons(T_b),V_x_2),V_xs_2)),V_y_2))
% 164.74/165.07 <=> ( V_x_2 = V_y_2
% 164.74/165.07 | hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_y_2)) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_List_Omember__def,axiom,
% 164.74/165.07 ! [V_x_2,V_xs_2,T_b] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_List_Omember(T_b),V_xs_2),V_x_2))
% 164.74/165.07 <=> hBOOL(hAPP(hAPP(c_member(T_b),V_x_2),hAPP(c_List_Oset(T_b),V_xs_2))) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_pair__box_Osize_I1_J,axiom,
% 164.74/165.07 ! [V_b_2,V_aa_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_aa_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_aa_2)),hAPP(V_fb_2,V_b_2))),hAPP(c_Nat_OSuc,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__ex1__iff__raw,axiom,
% 164.74/165.07 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.07 ( c_List_Olist__ex1(T_b,V_Pa_2,V_xs_2)
% 164.74/165.07 <=> ? [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 & hBOOL(hAPP(V_Pa_2,B_x))
% 164.74/165.07 & ! [B_y] :
% 164.74/165.07 ( ( hBOOL(hAPP(hAPP(c_member(T_b),B_y),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 & hBOOL(hAPP(V_Pa_2,B_y)) )
% 164.74/165.07 => B_y = B_x ) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_pair__box_Oinject,axiom,
% 164.74/165.07 ! [V_b_H_2,V_a_H_2,V_b_2,V_aa_2,T_c,T_b] :
% 164.74/165.07 ( c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_aa_2,V_b_2) = c_Nitpick_Opair__box_OPairBox(T_b,T_c,V_a_H_2,V_b_H_2)
% 164.74/165.07 <=> ( V_aa_2 = V_a_H_2
% 164.74/165.07 & V_b_2 = V_b_H_2 ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_pair__box_Osize_I2_J,axiom,
% 164.74/165.07 ! [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) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_pair__box_Osimps_I2_J,axiom,
% 164.74/165.07 ! [V_b_2,V_aa_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_aa_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_aa_2),V_b_2) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_pair__box_Orecs,axiom,
% 164.74/165.07 ! [V_b_2,V_aa_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_aa_2,V_b_2)) = hAPP(hAPP(V_f1_2,V_aa_2),V_b_2) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_THE__default__def,axiom,
% 164.74/165.07 ! [V_d_2,T_b,V_Pa_2] :
% 164.74/165.07 ( ( ? [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(V_Pa_2,B_x))
% 164.74/165.07 & ! [B_y] :
% 164.74/165.07 ( hBOOL(hAPP(V_Pa_2,B_y))
% 164.74/165.07 => B_y = B_x ) )
% 164.74/165.07 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = c_HOL_OThe(T_b,V_Pa_2) )
% 164.74/165.07 & ( ~ ? [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(V_Pa_2,B_x))
% 164.74/165.07 & ! [B_y] :
% 164.74/165.07 ( hBOOL(hAPP(V_Pa_2,B_y))
% 164.74/165.07 => B_y = B_x ) )
% 164.74/165.07 => c_FunDef_OTHE__default(T_b,V_d_2,V_Pa_2) = V_d_2 ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_setsum__UNION__zero,axiom,
% 164.74/165.07 ! [V_f_2,V_S_2,T_b,T_c] :
% 164.74/165.07 ( class_Groups_Ocomm__monoid__add(T_c)
% 164.74/165.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_fun(T_b,tc_HOL_Obool)),V_S_2))
% 164.74/165.07 => ( ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_x),V_S_2))
% 164.74/165.07 => hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),B_x)) )
% 164.74/165.07 => ( ! [B_T1] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T1),V_S_2))
% 164.74/165.07 => ! [B_T2] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(tc_fun(T_b,tc_HOL_Obool)),B_T2),V_S_2))
% 164.74/165.07 => ( B_T1 != B_T2
% 164.74/165.07 => ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T1))
% 164.74/165.07 => ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),B_T2))
% 164.74/165.07 => hAPP(V_f_2,B_x) = c_Groups_Ozero__class_Ozero(T_c) ) ) ) ) )
% 164.74/165.07 => hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2),c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_S_2)) = hAPP(hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_Big__Operators_Ocomm__monoid__add__class_Osetsum(T_b,T_c),V_f_2)),V_S_2) ) ) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_INF2__I,axiom,
% 164.74/165.07 ! [T_d,T_c,V_ca_2,V_b_2,V_B_2,V_A_2,T_b] :
% 164.74/165.07 ( ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.07 => hBOOL(hAPP(hAPP(hAPP(V_B_2,B_x),V_b_2),V_ca_2)) )
% 164.74/165.07 => hBOOL(hAPP(hAPP(hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_b,tc_fun(T_c,tc_fun(T_d,tc_HOL_Obool))),V_A_2),V_B_2),V_b_2),V_ca_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_finite__maxlen,axiom,
% 164.74/165.07 ! [V_M_2,T_b] :
% 164.74/165.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(tc_List_Olist(T_b)),V_M_2))
% 164.74/165.07 => ? [B_n] :
% 164.74/165.07 ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(tc_List_Olist(T_b)),B_x),V_M_2))
% 164.74/165.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless(tc_Nat_Onat),hAPP(c_Nat_Osize__class_Osize(tc_List_Olist(T_b)),B_x)),B_n)) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_lazy__sequence_Osize_I1_J,axiom,
% 164.74/165.07 ! [V_fa_2,T_b] : hAPP(c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__size(T_b,V_fa_2),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_b)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_lazy__sequence_Osize_I3_J,axiom,
% 164.74/165.07 ! [T_a] : hAPP(c_Nat_Osize__class_Osize(tc_Lazy__Sequence_Olazy__sequence(T_a)),c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a)) = c_Groups_Ozero__class_Ozero(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_3,axiom,
% 164.74/165.07 ! [V_yq,T_a] : c_Lazy__Sequence_Oappend(T_a,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a),V_yq) = V_yq ).
% 164.74/165.07
% 164.74/165.07 fof(fact_lazy__sequence_Osimps_I2_J,axiom,
% 164.74/165.07 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) != c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_lazy__sequence_Osimps_I3_J,axiom,
% 164.74/165.07 ! [V_lazy__sequence_H,V_a_H,T_a] : c_Lazy__Sequence_Olazy__sequence_OInsert(T_a,V_a_H,V_lazy__sequence_H) != c_Lazy__Sequence_Olazy__sequence_OEmpty(T_a) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_lazy__sequence_Osimps_I4_J,axiom,
% 164.74/165.07 ! [V_f2_2,V_f1_2,T_c,T_b] : c_Lazy__Sequence_Olazy__sequence_Olazy__sequence__case(T_b,T_c,V_f1_2,V_f2_2,c_Lazy__Sequence_Olazy__sequence_OEmpty(T_c)) = V_f1_2 ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__all__iff__all__interval__int,axiom,
% 164.74/165.07 ! [V_j_2,V_i_2,V_Pa_2] :
% 164.74/165.07 ( c_List_Olist__all(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 164.74/165.07 <=> c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__ex__iff__not__all__inverval__int,axiom,
% 164.74/165.07 ! [V_j_2,V_i_2,V_Pa_2] :
% 164.74/165.07 ( c_List_Olist__ex(tc_Int_Oint,V_Pa_2,c_List_Oupto(V_i_2,V_j_2))
% 164.74/165.07 <=> ~ c_List_Oall__interval__int(hAPP(c_Fun_Ocomp(tc_HOL_Obool,tc_HOL_Obool,tc_Int_Oint,c_fNot),V_Pa_2),V_i_2,V_j_2) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_all__interval__int__def,axiom,
% 164.74/165.07 ! [V_j_2,V_i_2,V_Pa_2] :
% 164.74/165.07 ( c_List_Oall__interval__int(V_Pa_2,V_i_2,V_j_2)
% 164.74/165.07 <=> ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(tc_Int_Oint),B_x),c_SetInterval_Oord__class_OatLeastAtMost(tc_Int_Oint,V_i_2,V_j_2)))
% 164.74/165.07 => hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_code__numeral_Orecs_I2_J,axiom,
% 164.74/165.07 ! [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)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_Random_Osimps,axiom,
% 164.74/165.07 ! [V_size_2,V_g_2,T_b,V_nrandom_2] :
% 164.74/165.07 ( ( hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 164.74/165.07 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) )
% 164.74/165.07 & ( ~ hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral)))
% 164.74/165.07 => c_Random__Sequence_ORandom(T_b,V_g_2,V_nrandom_2,V_size_2) = hAPP(hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm)),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),hAPP(V_g_2,V_size_2)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_Product__Type_Oscomp(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),c_Random__Sequence_ORandom(T_b,V_g_2,hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_Code__Numeral_Ocode__numeral),V_nrandom_2),c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral)),V_size_2))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral),tc_prod(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)))),hAPP(hAPP(c_COMBB(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b))))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Ounion(T_b)),hAPP(hAPP(c_COMBB(T_b,tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))),c_DSequence_Osingle(T_b)),c_Product__Type_Ofst(T_b,tc_fun(tc_Product__Type_Ounit,tc_Code__Evaluation_Oterm))))))) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_code__numeral_Orecs_I1_J,axiom,
% 164.74/165.07 ! [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 ).
% 164.74/165.07
% 164.74/165.07 fof(fact_Random__Sequence_Oempty__def,axiom,
% 164.74/165.07 ! [V_size_2,V_nrandom_2,T_b] : c_Random__Sequence_Oempty(T_b,V_nrandom_2,V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),c_DSequence_Oempty(T_b)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_Random__Sequence_Osingle__def,axiom,
% 164.74/165.07 ! [V_size_2,V_nrandom_2,V_x_2,T_b] : hAPP(hAPP(hAPP(c_Random__Sequence_Osingle(T_b),V_x_2),V_nrandom_2),V_size_2) = hAPP(c_Product__Type_OPair(tc_fun(tc_Code__Numeral_Ocode__numeral,tc_fun(tc_HOL_Obool,tc_Option_Ooption(tc_Lazy__Sequence_Olazy__sequence(T_b)))),tc_prod(tc_Code__Numeral_Ocode__numeral,tc_Code__Numeral_Ocode__numeral)),hAPP(c_DSequence_Osingle(T_b),V_x_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_Random__Sequence_Omap__def,axiom,
% 164.74/165.07 ! [V_Pa_2,V_f_2,T_b,T_c] : c_Random__Sequence_Omap(T_c,T_b,V_f_2,V_Pa_2) = c_Random__Sequence_Obind(T_c,T_b,V_Pa_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)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_exE__realizer,axiom,
% 164.74/165.07 ! [T_d,V_f_2,V_Qa_2,V_p_2,T_b,T_c,V_Pa_2] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(V_Pa_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)))
% 164.74/165.07 => ( ! [B_x,B_y] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(V_Pa_2,B_y),B_x))
% 164.74/165.07 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(V_f_2,B_x),B_y))) )
% 164.74/165.07 => hBOOL(hAPP(V_Qa_2,hAPP(hAPP(c_Product__Type_Oprod_Oprod__case(T_c,T_b,T_d),V_f_2),V_p_2))) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_Image__Collect__split,axiom,
% 164.74/165.07 ! [V_A_2,V_Pa_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_Pa_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_Pa_2)))) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_lexord__trans,axiom,
% 164.74/165.07 ! [V_z_2,V_r_2,V_y_2,V_x_2,T_b] :
% 164.74/165.07 ( 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)))
% 164.74/165.07 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_y_2),V_z_2)),c_List_Olexord(T_b,V_r_2)))
% 164.74/165.07 => ( c_Relation_Otrans(T_b,V_r_2)
% 164.74/165.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(tc_List_Olist(T_b),tc_List_Olist(T_b))),hAPP(hAPP(c_Product__Type_OPair(tc_List_Olist(T_b),tc_List_Olist(T_b)),V_x_2),V_z_2)),c_List_Olexord(T_b,V_r_2))) ) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_trans__less__than,axiom,
% 164.74/165.07 c_Relation_Otrans(tc_Nat_Onat,c_Wellfounded_Oless__than) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_trans__lex__prod,axiom,
% 164.74/165.07 ! [V_R2_2,T_c,V_R1_2,T_b] :
% 164.74/165.07 ( c_Relation_Otrans(T_b,V_R1_2)
% 164.74/165.07 => ( c_Relation_Otrans(T_c,V_R2_2)
% 164.74/165.07 => c_Relation_Otrans(tc_prod(T_b,T_c),c_Wellfounded_Olex__prod(T_b,T_c,V_R1_2,V_R2_2)) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_trans__def,axiom,
% 164.74/165.07 ! [V_r_2,T_b] :
% 164.74/165.07 ( c_Relation_Otrans(T_b,V_r_2)
% 164.74/165.07 <=> ! [B_x,B_y] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_y)),V_r_2))
% 164.74/165.07 => ! [B_z] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_y),B_z)),V_r_2))
% 164.74/165.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),B_x),B_z)),V_r_2)) ) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_transD,axiom,
% 164.74/165.07 ! [V_ca_2,V_b_2,V_aa_2,V_r_2,T_b] :
% 164.74/165.07 ( c_Relation_Otrans(T_b,V_r_2)
% 164.74/165.07 => ( hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_b_2)),V_r_2))
% 164.74/165.07 => ( 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_ca_2)),V_r_2))
% 164.74/165.07 => hBOOL(hAPP(hAPP(c_member(tc_prod(T_b,T_b)),hAPP(hAPP(c_Product__Type_OPair(T_b,T_b),V_aa_2),V_ca_2)),V_r_2)) ) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_trans__inv__image,axiom,
% 164.74/165.07 ! [V_f_2,T_c,V_r_2,T_b] :
% 164.74/165.07 ( c_Relation_Otrans(T_b,V_r_2)
% 164.74/165.07 => c_Relation_Otrans(T_c,hAPP(hAPP(c_Relation_Oinv__image(T_b,T_c),V_r_2),V_f_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_Union__eq,axiom,
% 164.74/165.07 ! [V_A_2,T_b] : c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),V_A_2) = hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_b,tc_HOL_Obool))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_b,tc_HOL_Obool))),V_A_2)))),c_member(T_b)))) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_SUPR__bool__eq,axiom,
% 164.74/165.07 ! [T_b] : c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_b,tc_HOL_Obool) = c_Set_OBex(T_b) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_trans__O__subset,axiom,
% 164.74/165.07 ! [V_r_2,T_b] :
% 164.74/165.07 ( c_Relation_Otrans(T_b,V_r_2)
% 164.74/165.07 => hBOOL(hAPP(hAPP(c_Orderings_Oord__class_Oless__eq(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),hAPP(hAPP(c_Relation_Orel__comp(T_b,T_b,T_b),V_r_2),V_r_2)),V_r_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_bex__UNIV,axiom,
% 164.74/165.07 ! [V_Pa_2,T_b] :
% 164.74/165.07 ( ? [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Otop__class_Otop(tc_fun(T_b,tc_HOL_Obool))))
% 164.74/165.07 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.74/165.07 <=> ? [B_x1] : hBOOL(hAPP(V_Pa_2,B_x1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_trans__rtrancl,axiom,
% 164.74/165.07 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Ortrancl(T_b,V_r_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_lexord__transI,axiom,
% 164.74/165.07 ! [V_r_2,T_b] :
% 164.74/165.07 ( c_Relation_Otrans(T_b,V_r_2)
% 164.74/165.07 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olexord(T_b,V_r_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_trans__Id__on,axiom,
% 164.74/165.07 ! [V_A_2,T_b] : c_Relation_Otrans(T_b,c_Relation_OId__on(T_b,V_A_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_trans__Id,axiom,
% 164.74/165.07 ! [T_b] : c_Relation_Otrans(T_b,c_Relation_OId(T_b)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_trans__finite__psubset,axiom,
% 164.74/165.07 ! [T_b] : c_Relation_Otrans(tc_fun(T_b,tc_HOL_Obool),c_Wellfounded_Ofinite__psubset(T_b)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_trans__trancl,axiom,
% 164.74/165.07 ! [V_r_2,T_b] : c_Relation_Otrans(T_b,c_Transitive__Closure_Otrancl(T_b,V_r_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_trancl__id,axiom,
% 164.74/165.07 ! [V_r_2,T_b] :
% 164.74/165.07 ( c_Relation_Otrans(T_b,V_r_2)
% 164.74/165.07 => c_Transitive__Closure_Otrancl(T_b,V_r_2) = V_r_2 ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_trans__converse,axiom,
% 164.74/165.07 ! [V_r_2,T_b] :
% 164.74/165.07 ( c_Relation_Otrans(T_b,hAPP(c_Relation_Oconverse(T_b,T_b),V_r_2))
% 164.74/165.07 <=> c_Relation_Otrans(T_b,V_r_2) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_listrel__trans,axiom,
% 164.74/165.07 ! [V_r_2,T_b] :
% 164.74/165.07 ( c_Relation_Otrans(T_b,V_r_2)
% 164.74/165.07 => c_Relation_Otrans(tc_List_Olist(T_b),c_List_Olistrel(T_b,V_r_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_bex__empty,axiom,
% 164.74/165.07 ! [V_Pa_2,T_b] :
% 164.74/165.07 ~ ? [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))))
% 164.74/165.07 & hBOOL(hAPP(V_Pa_2,B_x)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_finite__Collect__bex,axiom,
% 164.74/165.07 ! [V_Qa_2,T_c,V_A_2,T_b] :
% 164.74/165.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_A_2))
% 164.74/165.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_c),hAPP(c_Set_OCollect(T_c),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c),c_HOL_OEx(T_b)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool),T_c),hAPP(c_COMBS(T_b,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_b),c_fconj),hAPP(hAPP(c_COMBC(T_b,tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),c_member(T_b)),V_A_2)))),V_Qa_2)))))
% 164.74/165.07 <=> ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_A_2))
% 164.74/165.07 => 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_Qa_2),B_x)))) ) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_trans__Int,axiom,
% 164.74/165.07 ! [V_s_2,V_r_2,T_b] :
% 164.74/165.07 ( c_Relation_Otrans(T_b,V_r_2)
% 164.74/165.07 => ( c_Relation_Otrans(T_b,V_s_2)
% 164.74/165.07 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__inf__class_Oinf(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),V_s_2)) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_trans__reflclI,axiom,
% 164.74/165.07 ! [V_r_2,T_b] :
% 164.74/165.07 ( c_Relation_Otrans(T_b,V_r_2)
% 164.74/165.07 => c_Relation_Otrans(T_b,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_prod(T_b,T_b),tc_HOL_Obool)),V_r_2),c_Relation_OId(T_b))) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_UN__eq,axiom,
% 164.74/165.07 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OSUPR(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OSup__class_OSup(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_INT__eq,axiom,
% 164.74/165.07 ! [V_B_2,V_A_2,T_b,T_c] : hAPP(hAPP(c_Complete__Lattice_Ocomplete__lattice__class_OINFI(T_c,tc_fun(T_b,tc_HOL_Obool)),V_A_2),V_B_2) = c_Complete__Lattice_OInf__class_OInf(tc_fun(T_b,tc_HOL_Obool),hAPP(c_Set_OCollect(tc_fun(T_b,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool,tc_fun(T_b,tc_HOL_Obool)),c_HOL_OEx(T_c)),hAPP(hAPP(c_COMBB(tc_fun(T_c,tc_HOL_Obool),tc_fun(T_c,tc_HOL_Obool),tc_fun(T_b,tc_HOL_Obool)),hAPP(c_COMBS(T_c,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),T_c),c_fconj),hAPP(hAPP(c_COMBC(T_c,tc_fun(T_c,tc_HOL_Obool),tc_HOL_Obool),c_member(T_c)),V_A_2)))),hAPP(hAPP(c_COMBC(tc_fun(T_b,tc_HOL_Obool),tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool),tc_fun(tc_fun(T_c,tc_fun(T_b,tc_HOL_Obool)),tc_fun(T_c,tc_HOL_Obool)),tc_fun(T_b,tc_HOL_Obool)),c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_HOL_Obool,T_c)),c_fequal)),V_B_2))))) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_Sup__fun__def,axiom,
% 164.74/165.07 ! [V_x_2,V_A_2,T_c,T_b] :
% 164.74/165.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.74/165.07 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_Sup__apply,axiom,
% 164.74/165.07 ! [V_x_2,V_A_2,T_c,T_b] :
% 164.74/165.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.74/165.07 => hAPP(c_Complete__Lattice_OSup__class_OSup(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OSup__class_OSup(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_list__ex__iff__raw,axiom,
% 164.74/165.07 ! [V_xs_2,V_Pa_2,T_b] :
% 164.74/165.07 ( c_List_Olist__ex(T_b,V_Pa_2,V_xs_2)
% 164.74/165.07 <=> ? [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 & hBOOL(hAPP(V_Pa_2,B_x)) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_Bex__set__list__ex,axiom,
% 164.74/165.07 ! [V_Pa_2,V_xs_2,T_b] :
% 164.74/165.07 ( ? [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),hAPP(c_List_Oset(T_b),V_xs_2)))
% 164.74/165.07 & hBOOL(hAPP(V_Pa_2,B_x)) )
% 164.74/165.07 <=> c_List_Olist__ex(T_b,V_Pa_2,V_xs_2) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_Inf__apply,axiom,
% 164.74/165.07 ! [V_x_2,V_A_2,T_c,T_b] :
% 164.74/165.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.74/165.07 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_Inf__fun__def,axiom,
% 164.74/165.07 ! [V_x_2,V_A_2,T_c,T_b] :
% 164.74/165.07 ( class_Complete__Lattice_Ocomplete__lattice(T_b)
% 164.74/165.07 => hAPP(c_Complete__Lattice_OInf__class_OInf(tc_fun(T_c,T_b),V_A_2),V_x_2) = c_Complete__Lattice_OInf__class_OInf(T_b,hAPP(c_Set_OCollect(T_b),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool,T_b),c_HOL_OEx(tc_fun(T_c,T_b))),hAPP(hAPP(c_COMBB(tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),T_b),hAPP(c_COMBS(tc_fun(T_c,T_b),tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_fun(T_c,T_b)),c_fconj),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool),tc_HOL_Obool),c_member(tc_fun(T_c,T_b))),V_A_2)))),hAPP(hAPP(c_COMBC(T_b,tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(T_b,tc_HOL_Obool),tc_fun(tc_fun(tc_fun(T_c,T_b),T_b),tc_fun(tc_fun(T_c,T_b),tc_HOL_Obool)),T_b),c_COMBB(T_b,tc_HOL_Obool,tc_fun(T_c,T_b))),c_fequal)),hAPP(hAPP(c_COMBC(tc_fun(T_c,T_b),T_c,T_b),c_COMBI(tc_fun(T_c,T_b))),V_x_2)))))) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_max__extp_Ointros,axiom,
% 164.74/165.07 ! [V_R_2,V_Ya_2,V_X_2,T_b] :
% 164.74/165.07 ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_X_2))
% 164.74/165.07 => ( hBOOL(hAPP(c_Finite__Set_Ofinite(T_b),V_Ya_2))
% 164.74/165.07 => ( V_Ya_2 != c_Orderings_Obot__class_Obot(tc_fun(T_b,tc_HOL_Obool))
% 164.74/165.07 => ( ! [B_x] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_x),V_X_2))
% 164.74/165.07 => ? [B_xa] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(c_member(T_b),B_xa),V_Ya_2))
% 164.74/165.07 & hBOOL(hAPP(hAPP(V_R_2,B_x),B_xa)) ) )
% 164.74/165.07 => c_Wellfounded_Omax__extp(T_b,V_R_2,V_X_2,V_Ya_2) ) ) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_transp__def,axiom,
% 164.74/165.07 ! [V_r_2,T_b] :
% 164.74/165.07 ( c_Predicate_Otransp(T_b,V_r_2)
% 164.74/165.07 <=> c_Relation_Otrans(T_b,hAPP(c_Set_OCollect(tc_prod(T_b,T_b)),hAPP(c_Product__Type_Oprod_Oprod__case(T_b,T_b,tc_HOL_Obool),V_r_2))) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_transpE,axiom,
% 164.74/165.07 ! [V_z_2,V_y_2,V_x_2,V_r_2,T_b] :
% 164.74/165.07 ( c_Predicate_Otransp(T_b,V_r_2)
% 164.74/165.07 => ( hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_y_2))
% 164.74/165.07 => ( hBOOL(hAPP(hAPP(V_r_2,V_y_2),V_z_2))
% 164.74/165.07 => hBOOL(hAPP(hAPP(V_r_2,V_x_2),V_z_2)) ) ) ) ).
% 164.74/165.07
% 164.74/165.07 fof(fact_equivpE,axiom,
% 164.74/165.07 ! [V_R_2,T_b] :
% 164.74/165.07 ( c_Equiv__Relations_Oequivp(T_b,V_R_2)
% 164.74/165.07 => ~ ( c_Predicate_Oreflp(T_b,V_R_2)
% 164.74/165.07 => ( c_Predicate_Osymp(T_b,V_R_2)
% 164.74/165.07 => ~ c_Predicate_Otransp(T_b,V_R_2) ) ) ) ).
% 164.74/165.07
% 164.74/165.07 %----Arity declarations (219)
% 164.74/165.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice,axiom,
% 164.74/165.07 class_Lattices_Obounded__lattice(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Lattices_Obounded__lattice,axiom,
% 164.74/165.07 ! [T_2,T_1] :
% 164.74/165.07 ( class_Lattices_Obounded__lattice(T_1)
% 164.74/165.07 => class_Lattices_Obounded__lattice(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Complete__Lattice_Ocomplete__lattice,axiom,
% 164.74/165.07 ! [T_2,T_1] :
% 164.74/165.07 ( class_Complete__Lattice_Ocomplete__lattice(T_1)
% 164.74/165.07 => class_Complete__Lattice_Ocomplete__lattice(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Lattices_Obounded__lattice__top,axiom,
% 164.74/165.07 ! [T_2,T_1] :
% 164.74/165.07 ( class_Lattices_Obounded__lattice(T_1)
% 164.74/165.07 => class_Lattices_Obounded__lattice__top(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Lattices_Obounded__lattice__bot,axiom,
% 164.74/165.07 ! [T_2,T_1] :
% 164.74/165.07 ( class_Lattices_Obounded__lattice(T_1)
% 164.74/165.07 => class_Lattices_Obounded__lattice__bot(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Lattices_Osemilattice__sup,axiom,
% 164.74/165.07 ! [T_2,T_1] :
% 164.74/165.07 ( class_Lattices_Olattice(T_1)
% 164.74/165.07 => class_Lattices_Osemilattice__sup(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Lattices_Osemilattice__inf,axiom,
% 164.74/165.07 ! [T_2,T_1] :
% 164.74/165.07 ( class_Lattices_Olattice(T_1)
% 164.74/165.07 => class_Lattices_Osemilattice__inf(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Lattices_Odistrib__lattice,axiom,
% 164.74/165.07 ! [T_2,T_1] :
% 164.74/165.07 ( class_Lattices_Odistrib__lattice(T_1)
% 164.74/165.07 => class_Lattices_Odistrib__lattice(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Lattices_Oboolean__algebra,axiom,
% 164.74/165.07 ! [T_2,T_1] :
% 164.74/165.07 ( class_Lattices_Oboolean__algebra(T_1)
% 164.74/165.07 => class_Lattices_Oboolean__algebra(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Orderings_Opreorder,axiom,
% 164.74/165.07 ! [T_2,T_1] :
% 164.74/165.07 ( class_Orderings_Opreorder(T_1)
% 164.74/165.07 => class_Orderings_Opreorder(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Finite__Set_Ofinite,axiom,
% 164.74/165.07 ! [T_1,T_2] :
% 164.74/165.07 ( ( class_Finite__Set_Ofinite(T_2)
% 164.74/165.07 & class_Finite__Set_Ofinite(T_1) )
% 164.74/165.07 => class_Finite__Set_Ofinite(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Lattices_Olattice,axiom,
% 164.74/165.07 ! [T_2,T_1] :
% 164.74/165.07 ( class_Lattices_Olattice(T_1)
% 164.74/165.07 => class_Lattices_Olattice(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Orderings_Oorder,axiom,
% 164.74/165.07 ! [T_2,T_1] :
% 164.74/165.07 ( class_Orderings_Oorder(T_1)
% 164.74/165.07 => class_Orderings_Oorder(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Orderings_Otop,axiom,
% 164.74/165.07 ! [T_2,T_1] :
% 164.74/165.07 ( class_Orderings_Otop(T_1)
% 164.74/165.07 => class_Orderings_Otop(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Orderings_Oord,axiom,
% 164.74/165.07 ! [T_2,T_1] :
% 164.74/165.07 ( class_Orderings_Oord(T_1)
% 164.74/165.07 => class_Orderings_Oord(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Orderings_Obot,axiom,
% 164.74/165.07 ! [T_2,T_1] :
% 164.74/165.07 ( class_Orderings_Obot(T_1)
% 164.74/165.07 => class_Orderings_Obot(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Groups_Ouminus,axiom,
% 164.74/165.07 ! [T_2,T_1] :
% 164.74/165.07 ( class_Groups_Ouminus(T_1)
% 164.74/165.07 => class_Groups_Ouminus(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Groups_Ominus,axiom,
% 164.74/165.07 ! [T_2,T_1] :
% 164.74/165.07 ( class_Groups_Ominus(T_1)
% 164.74/165.07 => class_Groups_Ominus(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_fun__Enum_Oenum,axiom,
% 164.74/165.07 ! [T_1,T_2] :
% 164.74/165.07 ( ( class_Enum_Oenum(T_2)
% 164.74/165.07 & class_Enum_Oenum(T_1) )
% 164.74/165.07 => class_Enum_Oenum(tc_fun(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Com__Ocom__Nat_Osize,axiom,
% 164.74/165.07 class_Nat_Osize(tc_Com_Ocom) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 164.74/165.07 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 164.74/165.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,axiom,
% 164.74/165.07 class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Olinordered__semiring__1__strict,axiom,
% 164.74/165.07 class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Olinordered__ab__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Olinordered__ab__semigroup__add(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Olinordered__semiring__strict,axiom,
% 164.74/165.07 class_Rings_Olinordered__semiring__strict(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Oordered__ab__group__add__abs,axiom,
% 164.74/165.07 class_Groups_Oordered__ab__group__add__abs(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add,axiom,
% 164.74/165.07 class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Olinordered__ab__group__add,axiom,
% 164.74/165.07 class_Groups_Olinordered__ab__group__add(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors,axiom,
% 164.74/165.07 class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Oordered__cancel__semiring,axiom,
% 164.74/165.07 class_Rings_Oordered__cancel__semiring(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Olinordered__ring__strict,axiom,
% 164.74/165.07 class_Rings_Olinordered__ring__strict(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Oring__no__zero__divisors,axiom,
% 164.74/165.07 class_Rings_Oring__no__zero__divisors(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Oordered__comm__semiring,axiom,
% 164.74/165.07 class_Rings_Oordered__comm__semiring(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Olinordered__semiring__1,axiom,
% 164.74/165.07 class_Rings_Olinordered__semiring__1(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Oordered__ab__group__add,axiom,
% 164.74/165.07 class_Groups_Oordered__ab__group__add(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Ocancel__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Ocancel__semigroup__add(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Olinordered__semiring,axiom,
% 164.74/165.07 class_Rings_Olinordered__semiring(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Olinordered__semidom,axiom,
% 164.74/165.07 class_Rings_Olinordered__semidom(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Lazy__Sequence_Osmall__lazy,axiom,
% 164.74/165.07 class_Lazy__Sequence_Osmall__lazy(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Lattices_Osemilattice__sup,axiom,
% 164.74/165.07 class_Lattices_Osemilattice__sup(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Lattices_Osemilattice__inf,axiom,
% 164.74/165.07 class_Lattices_Osemilattice__inf(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Lattices_Odistrib__lattice,axiom,
% 164.74/165.07 class_Lattices_Odistrib__lattice(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Oab__semigroup__mult,axiom,
% 164.74/165.07 class_Groups_Oab__semigroup__mult(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Ocomm__monoid__mult,axiom,
% 164.74/165.07 class_Groups_Ocomm__monoid__mult(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Oab__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Oab__semigroup__add(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Oordered__semiring,axiom,
% 164.74/165.07 class_Rings_Oordered__semiring(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Oordered__ring__abs,axiom,
% 164.74/165.07 class_Rings_Oordered__ring__abs(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Ono__zero__divisors,axiom,
% 164.74/165.07 class_Rings_Ono__zero__divisors(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Ocomm__monoid__add,axiom,
% 164.74/165.07 class_Groups_Ocomm__monoid__add(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Olinordered__ring,axiom,
% 164.74/165.07 class_Rings_Olinordered__ring(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Olinordered__idom,axiom,
% 164.74/165.07 class_Rings_Olinordered__idom(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Ocomm__semiring__1,axiom,
% 164.74/165.07 class_Rings_Ocomm__semiring__1(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Osemigroup__add,axiom,
% 164.74/165.07 class_Groups_Osemigroup__add(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Divides_Osemiring__div,axiom,
% 164.74/165.07 class_Divides_Osemiring__div(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Ocomm__semiring,axiom,
% 164.74/165.07 class_Rings_Ocomm__semiring(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Nat_Osemiring__char__0,axiom,
% 164.74/165.07 class_Nat_Osemiring__char__0(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Oab__group__add,axiom,
% 164.74/165.07 class_Groups_Oab__group__add(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Ozero__neq__one,axiom,
% 164.74/165.07 class_Rings_Ozero__neq__one(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Oordered__ring,axiom,
% 164.74/165.07 class_Rings_Oordered__ring(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Orderings_Opreorder,axiom,
% 164.74/165.07 class_Orderings_Opreorder(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Orderings_Olinorder,axiom,
% 164.74/165.07 class_Orderings_Olinorder(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Omonoid__mult,axiom,
% 164.74/165.07 class_Groups_Omonoid__mult(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Ocomm__ring__1,axiom,
% 164.74/165.07 class_Rings_Ocomm__ring__1(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Omonoid__add,axiom,
% 164.74/165.07 class_Groups_Omonoid__add(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Osemiring__1,axiom,
% 164.74/165.07 class_Rings_Osemiring__1(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Osemiring__0,axiom,
% 164.74/165.07 class_Rings_Osemiring__0(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Lattices_Olattice,axiom,
% 164.74/165.07 class_Lattices_Olattice(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Ogroup__add,axiom,
% 164.74/165.07 class_Groups_Ogroup__add(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Divides_Oring__div,axiom,
% 164.74/165.07 class_Divides_Oring__div(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Omult__zero,axiom,
% 164.74/165.07 class_Rings_Omult__zero(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Orderings_Oorder,axiom,
% 164.74/165.07 class_Orderings_Oorder(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Int_Oring__char__0,axiom,
% 164.74/165.07 class_Int_Oring__char__0(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Int_Onumber__ring,axiom,
% 164.74/165.07 class_Int_Onumber__ring(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Osemiring,axiom,
% 164.74/165.07 class_Rings_Osemiring(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Orderings_Oord,axiom,
% 164.74/165.07 class_Orderings_Oord(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Ouminus,axiom,
% 164.74/165.07 class_Groups_Ouminus(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Osgn__if,axiom,
% 164.74/165.07 class_Groups_Osgn__if(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Oabs__if,axiom,
% 164.74/165.07 class_Groups_Oabs__if(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Oring__1,axiom,
% 164.74/165.07 class_Rings_Oring__1(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Ominus,axiom,
% 164.74/165.07 class_Groups_Ominus(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Power_Opower,axiom,
% 164.74/165.07 class_Power_Opower(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Ozero,axiom,
% 164.74/165.07 class_Groups_Ozero(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Oring,axiom,
% 164.74/165.07 class_Rings_Oring(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Rings_Oidom,axiom,
% 164.74/165.07 class_Rings_Oidom(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Int_Onumber,axiom,
% 164.74/165.07 class_Int_Onumber(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Int__Oint__Groups_Oone,axiom,
% 164.74/165.07 class_Groups_Oone(tc_Int_Oint) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,axiom,
% 164.74/165.07 class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 164.74/165.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,axiom,
% 164.74/165.07 class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Olinordered__ab__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Olinordered__ab__semigroup__add(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict,axiom,
% 164.74/165.07 class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add,axiom,
% 164.74/165.07 class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring,axiom,
% 164.74/165.07 class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Rings_Oordered__comm__semiring,axiom,
% 164.74/165.07 class_Rings_Oordered__comm__semiring(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Rings_Olinordered__semiring,axiom,
% 164.74/165.07 class_Rings_Olinordered__semiring(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Rings_Olinordered__semidom,axiom,
% 164.74/165.07 class_Rings_Olinordered__semidom(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Lattices_Osemilattice__sup,axiom,
% 164.74/165.07 class_Lattices_Osemilattice__sup(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Lattices_Osemilattice__inf,axiom,
% 164.74/165.07 class_Lattices_Osemilattice__inf(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Lattices_Odistrib__lattice,axiom,
% 164.74/165.07 class_Lattices_Odistrib__lattice(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Oab__semigroup__mult,axiom,
% 164.74/165.07 class_Groups_Oab__semigroup__mult(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult,axiom,
% 164.74/165.07 class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Oab__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Oab__semigroup__add(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Rings_Oordered__semiring,axiom,
% 164.74/165.07 class_Rings_Oordered__semiring(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Rings_Ono__zero__divisors,axiom,
% 164.74/165.07 class_Rings_Ono__zero__divisors(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Ocomm__monoid__add,axiom,
% 164.74/165.07 class_Groups_Ocomm__monoid__add(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Rings_Ocomm__semiring__1,axiom,
% 164.74/165.07 class_Rings_Ocomm__semiring__1(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Osemigroup__add,axiom,
% 164.74/165.07 class_Groups_Osemigroup__add(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Divides_Osemiring__div,axiom,
% 164.74/165.07 class_Divides_Osemiring__div(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Rings_Ocomm__semiring,axiom,
% 164.74/165.07 class_Rings_Ocomm__semiring(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Orderings_Owellorder,axiom,
% 164.74/165.07 class_Orderings_Owellorder(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Nat_Osemiring__char__0,axiom,
% 164.74/165.07 class_Nat_Osemiring__char__0(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Rings_Ozero__neq__one,axiom,
% 164.74/165.07 class_Rings_Ozero__neq__one(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Orderings_Opreorder,axiom,
% 164.74/165.07 class_Orderings_Opreorder(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Orderings_Olinorder,axiom,
% 164.74/165.07 class_Orderings_Olinorder(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Omonoid__mult,axiom,
% 164.74/165.07 class_Groups_Omonoid__mult(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Omonoid__add,axiom,
% 164.74/165.07 class_Groups_Omonoid__add(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Rings_Osemiring__1,axiom,
% 164.74/165.07 class_Rings_Osemiring__1(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Rings_Osemiring__0,axiom,
% 164.74/165.07 class_Rings_Osemiring__0(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Lattices_Olattice,axiom,
% 164.74/165.07 class_Lattices_Olattice(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Rings_Omult__zero,axiom,
% 164.74/165.07 class_Rings_Omult__zero(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Orderings_Oorder,axiom,
% 164.74/165.07 class_Orderings_Oorder(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Rings_Osemiring,axiom,
% 164.74/165.07 class_Rings_Osemiring(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Orderings_Oord,axiom,
% 164.74/165.07 class_Orderings_Oord(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Orderings_Obot,axiom,
% 164.74/165.07 class_Orderings_Obot(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Ominus,axiom,
% 164.74/165.07 class_Groups_Ominus(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Power_Opower,axiom,
% 164.74/165.07 class_Power_Opower(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Ozero,axiom,
% 164.74/165.07 class_Groups_Ozero(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Int_Onumber,axiom,
% 164.74/165.07 class_Int_Onumber(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Groups_Oone,axiom,
% 164.74/165.07 class_Groups_Oone(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nat__Onat__Nat_Osize,axiom,
% 164.74/165.07 class_Nat_Osize(tc_Nat_Onat) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Complete__Lattice_Ocomplete__lattice,axiom,
% 164.74/165.07 class_Complete__Lattice_Ocomplete__lattice(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice__top,axiom,
% 164.74/165.07 class_Lattices_Obounded__lattice__top(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Lattices_Obounded__lattice__bot,axiom,
% 164.74/165.07 class_Lattices_Obounded__lattice__bot(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Lattices_Osemilattice__sup,axiom,
% 164.74/165.07 class_Lattices_Osemilattice__sup(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Lattices_Osemilattice__inf,axiom,
% 164.74/165.07 class_Lattices_Osemilattice__inf(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Lattices_Odistrib__lattice,axiom,
% 164.74/165.07 class_Lattices_Odistrib__lattice(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Lattices_Oboolean__algebra,axiom,
% 164.74/165.07 class_Lattices_Oboolean__algebra(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Orderings_Opreorder,axiom,
% 164.74/165.07 class_Orderings_Opreorder(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Finite__Set_Ofinite,axiom,
% 164.74/165.07 class_Finite__Set_Ofinite(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Lattices_Olattice,axiom,
% 164.74/165.07 class_Lattices_Olattice(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Orderings_Oorder,axiom,
% 164.74/165.07 class_Orderings_Oorder(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Orderings_Otop,axiom,
% 164.74/165.07 class_Orderings_Otop(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Orderings_Oord,axiom,
% 164.74/165.07 class_Orderings_Oord(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Orderings_Obot,axiom,
% 164.74/165.07 class_Orderings_Obot(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Groups_Ouminus,axiom,
% 164.74/165.07 class_Groups_Ouminus(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Groups_Ominus,axiom,
% 164.74/165.07 class_Groups_Ominus(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Enum_Oenum,axiom,
% 164.74/165.07 class_Enum_Oenum(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_HOL__Obool__Nat_Osize,axiom,
% 164.74/165.07 class_Nat_Osize(tc_HOL_Obool) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Com__Ostate__Nat_Osize,axiom,
% 164.74/165.07 class_Nat_Osize(tc_Com_Ostate) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Com__Ovname__Nat_Osize,axiom,
% 164.74/165.07 class_Nat_Osize(tc_Com_Ovname) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_List__Olist__Lazy__Sequence_Osmall__lazy,axiom,
% 164.74/165.07 ! [T_1] :
% 164.74/165.07 ( class_Lazy__Sequence_Osmall__lazy(T_1)
% 164.74/165.07 => class_Lazy__Sequence_Osmall__lazy(tc_List_Olist(T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_List__Olist__Nat_Osize,axiom,
% 164.74/165.07 ! [T_1] : class_Nat_Osize(tc_List_Olist(T_1)) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_sum__Finite__Set_Ofinite,axiom,
% 164.74/165.07 ! [T_1,T_2] :
% 164.74/165.07 ( ( class_Finite__Set_Ofinite(T_2)
% 164.74/165.07 & class_Finite__Set_Ofinite(T_1) )
% 164.74/165.07 => class_Finite__Set_Ofinite(tc_sum(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_sum__Enum_Oenum,axiom,
% 164.74/165.07 ! [T_1,T_2] :
% 164.74/165.07 ( ( class_Enum_Oenum(T_2)
% 164.74/165.07 & class_Enum_Oenum(T_1) )
% 164.74/165.07 => class_Enum_Oenum(tc_sum(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_sum__Nat_Osize,axiom,
% 164.74/165.07 ! [T_1,T_2] : class_Nat_Osize(tc_sum(T_2,T_1)) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Option__Ooption__Finite__Set_Ofinite,axiom,
% 164.74/165.07 ! [T_1] :
% 164.74/165.07 ( class_Finite__Set_Ofinite(T_1)
% 164.74/165.07 => class_Finite__Set_Ofinite(tc_Option_Ooption(T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Option__Ooption__Enum_Oenum,axiom,
% 164.74/165.07 ! [T_1] :
% 164.74/165.07 ( class_Enum_Oenum(T_1)
% 164.74/165.07 => class_Enum_Oenum(tc_Option_Ooption(T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Option__Ooption__Nat_Osize,axiom,
% 164.74/165.07 ! [T_1] : class_Nat_Osize(tc_Option_Ooption(T_1)) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Nitpick__Opair____box__Nat_Osize,axiom,
% 164.74/165.07 ! [T_1,T_2] : class_Nat_Osize(tc_Nitpick_Opair__box(T_2,T_1)) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_prod__Lazy__Sequence_Osmall__lazy,axiom,
% 164.74/165.07 ! [T_1,T_2] :
% 164.74/165.07 ( ( class_Lazy__Sequence_Osmall__lazy(T_2)
% 164.74/165.07 & class_Lazy__Sequence_Osmall__lazy(T_1) )
% 164.74/165.07 => class_Lazy__Sequence_Osmall__lazy(tc_prod(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_prod__Finite__Set_Ofinite,axiom,
% 164.74/165.07 ! [T_1,T_2] :
% 164.74/165.07 ( ( class_Finite__Set_Ofinite(T_2)
% 164.74/165.07 & class_Finite__Set_Ofinite(T_1) )
% 164.74/165.07 => class_Finite__Set_Ofinite(tc_prod(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_prod__Enum_Oenum,axiom,
% 164.74/165.07 ! [T_1,T_2] :
% 164.74/165.07 ( ( class_Enum_Oenum(T_2)
% 164.74/165.07 & class_Enum_Oenum(T_1) )
% 164.74/165.07 => class_Enum_Oenum(tc_prod(T_2,T_1)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_prod__Nat_Osize,axiom,
% 164.74/165.07 ! [T_1,T_2] : class_Nat_Osize(tc_prod(T_2,T_1)) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Product____Type__Ounit__Lazy__Sequence_Osmall__lazy,axiom,
% 164.74/165.07 class_Lazy__Sequence_Osmall__lazy(tc_Product__Type_Ounit) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Product____Type__Ounit__Finite__Set_Ofinite,axiom,
% 164.74/165.07 class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Product____Type__Ounit__Enum_Oenum,axiom,
% 164.74/165.07 class_Enum_Oenum(tc_Product__Type_Ounit) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Product____Type__Ounit__Nat_Osize,axiom,
% 164.74/165.07 class_Nat_Osize(tc_Product__Type_Ounit) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Evaluation__Oterm__Nat_Osize,axiom,
% 164.74/165.07 class_Nat_Osize(tc_Code__Evaluation_Oterm) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Hoare____Mirabelle__Otriple__Nat_Osize,axiom,
% 164.74/165.07 ! [T_1] : class_Nat_Osize(tc_Hoare__Mirabelle_Otriple(T_1)) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le,axiom,
% 164.74/165.07 class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict,axiom,
% 164.74/165.07 class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Olinordered__ab__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Olinordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict,axiom,
% 164.74/165.07 class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add,axiom,
% 164.74/165.07 class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring,axiom,
% 164.74/165.07 class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring,axiom,
% 164.74/165.07 class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring,axiom,
% 164.74/165.07 class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom,axiom,
% 164.74/165.07 class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult,axiom,
% 164.74/165.07 class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult,axiom,
% 164.74/165.07 class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add,axiom,
% 164.74/165.07 class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring,axiom,
% 164.74/165.07 class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors,axiom,
% 164.74/165.07 class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add,axiom,
% 164.74/165.07 class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1,axiom,
% 164.74/165.07 class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Osemigroup__add,axiom,
% 164.74/165.07 class_Groups_Osemigroup__add(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div,axiom,
% 164.74/165.07 class_Divides_Osemiring__div(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring,axiom,
% 164.74/165.07 class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osemiring__char__0,axiom,
% 164.74/165.07 class_Nat_Osemiring__char__0(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one,axiom,
% 164.74/165.07 class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder,axiom,
% 164.74/165.07 class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder,axiom,
% 164.74/165.07 class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult,axiom,
% 164.74/165.07 class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add,axiom,
% 164.74/165.07 class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1,axiom,
% 164.74/165.07 class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0,axiom,
% 164.74/165.07 class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero,axiom,
% 164.74/165.07 class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oorder,axiom,
% 164.74/165.07 class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Rings_Osemiring,axiom,
% 164.74/165.07 class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Orderings_Oord,axiom,
% 164.74/165.07 class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ominus,axiom,
% 164.74/165.07 class_Groups_Ominus(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Power_Opower,axiom,
% 164.74/165.07 class_Power_Opower(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Ozero,axiom,
% 164.74/165.07 class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Int_Onumber,axiom,
% 164.74/165.07 class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Groups_Oone,axiom,
% 164.74/165.07 class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Code____Numeral__Ocode____numeral__Nat_Osize,axiom,
% 164.74/165.07 class_Nat_Osize(tc_Code__Numeral_Ocode__numeral) ).
% 164.74/165.07
% 164.74/165.07 fof(arity_Lazy____Sequence__Olazy____sequence__Nat_Osize,axiom,
% 164.74/165.07 ! [T_1] : class_Nat_Osize(tc_Lazy__Sequence_Olazy__sequence(T_1)) ).
% 164.74/165.07
% 164.74/165.07 %----Helper facts (20)
% 164.74/165.07 fof(help_c__COMBI__1,axiom,
% 164.74/165.07 ! [V_P,T_a] : hAPP(c_COMBI(T_a),V_P) = V_P ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__COMBK__1,axiom,
% 164.74/165.07 ! [V_Q,V_P,T_b,T_a] : hAPP(hAPP(c_COMBK(T_a,T_b),V_P),V_Q) = V_P ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__COMBB__1,axiom,
% 164.74/165.07 ! [V_R_2,V_Qa_2,V_Pa_2,T_d,T_b,T_c] : hAPP(hAPP(hAPP(c_COMBB(T_c,T_b,T_d),V_Pa_2),V_Qa_2),V_R_2) = hAPP(V_Pa_2,hAPP(V_Qa_2,V_R_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__COMBC__1,axiom,
% 164.74/165.07 ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBC(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),V_Qa_2) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__COMBS__1,axiom,
% 164.74/165.07 ! [V_R_2,V_Qa_2,V_Pa_2,T_b,T_d,T_c] : hAPP(hAPP(hAPP(c_COMBS(T_c,T_d,T_b),V_Pa_2),V_Qa_2),V_R_2) = hAPP(hAPP(V_Pa_2,V_R_2),hAPP(V_Qa_2,V_R_2)) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__fequal__1,axiom,
% 164.74/165.07 ! [V_y_2,V_x_2] :
% 164.74/165.07 ( ~ hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2))
% 164.74/165.07 | V_x_2 = V_y_2 ) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__fequal__2,axiom,
% 164.74/165.07 ! [V_y_2,V_x_2] :
% 164.74/165.07 ( V_x_2 != V_y_2
% 164.74/165.07 | hBOOL(hAPP(hAPP(c_fequal,V_x_2),V_y_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__fFalse__1,axiom,
% 164.74/165.07 ~ hBOOL(c_fFalse) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__fTrue__1,axiom,
% 164.74/165.07 hBOOL(c_fTrue) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__fNot__1,axiom,
% 164.74/165.07 ! [V_Pa_2] :
% 164.74/165.07 ( ~ hBOOL(hAPP(c_fNot,V_Pa_2))
% 164.74/165.07 | ~ hBOOL(V_Pa_2) ) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__fNot__2,axiom,
% 164.74/165.07 ! [V_Pa_2] :
% 164.74/165.07 ( ~ ~ hBOOL(V_Pa_2)
% 164.74/165.07 | hBOOL(hAPP(c_fNot,V_Pa_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__fconj__1,axiom,
% 164.74/165.07 ! [V_Qa_2,V_Pa_2] :
% 164.74/165.07 ( ~ hBOOL(V_Pa_2)
% 164.74/165.07 | ~ hBOOL(V_Qa_2)
% 164.74/165.07 | hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__fconj__2,axiom,
% 164.74/165.07 ! [V_Qa_2,V_Pa_2] :
% 164.74/165.07 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 164.74/165.07 | hBOOL(V_Pa_2) ) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__fconj__3,axiom,
% 164.74/165.07 ! [V_Qa_2,V_Pa_2] :
% 164.74/165.07 ( ~ hBOOL(hAPP(hAPP(c_fconj,V_Pa_2),V_Qa_2))
% 164.74/165.07 | hBOOL(V_Qa_2) ) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__fdisj__1,axiom,
% 164.74/165.07 ! [V_Qa_2,V_Pa_2] :
% 164.74/165.07 ( ~ hBOOL(V_Pa_2)
% 164.74/165.07 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__fdisj__2,axiom,
% 164.74/165.07 ! [V_Pa_2,V_Qa_2] :
% 164.74/165.07 ( ~ hBOOL(V_Qa_2)
% 164.74/165.07 | hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__fdisj__3,axiom,
% 164.74/165.07 ! [V_Qa_2,V_Pa_2] :
% 164.74/165.07 ( ~ hBOOL(hAPP(hAPP(c_fdisj,V_Pa_2),V_Qa_2))
% 164.74/165.07 | hBOOL(V_Pa_2)
% 164.74/165.07 | hBOOL(V_Qa_2) ) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__fimplies__1,axiom,
% 164.74/165.07 ! [V_Qa_2,V_Pa_2] :
% 164.74/165.07 ( hBOOL(V_Pa_2)
% 164.74/165.07 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__fimplies__2,axiom,
% 164.74/165.07 ! [V_Pa_2,V_Qa_2] :
% 164.74/165.07 ( ~ hBOOL(V_Qa_2)
% 164.74/165.07 | hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2)) ) ).
% 164.74/165.07
% 164.74/165.07 fof(help_c__fimplies__3,axiom,
% 164.74/165.07 ! [V_Qa_2,V_Pa_2] :
% 164.74/165.07 ( ~ hBOOL(hAPP(hAPP(c_fimplies,V_Pa_2),V_Qa_2))
% 164.74/165.07 | ~ hBOOL(V_Pa_2)
% 164.74/165.07 | hBOOL(V_Qa_2) ) ).
% 164.74/165.07
% 164.74/165.07 %----Conjectures (3)
% 164.74/165.07 fof(conj_0,hypothesis,
% 164.74/165.07 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),v_c),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ).
% 164.74/165.07
% 164.74/165.07 fof(conj_1,hypothesis,
% 164.74/165.07 ! [B_k,B_Z,B_s] :
% 164.74/165.07 ( hBOOL(hAPP(hAPP(v_Q,B_Z),B_s))
% 164.74/165.07 => hBOOL(hAPP(hAPP(v_Q,B_Z),hAPP(hAPP(hAPP(c_Natural_Oupdate,B_s),c_Com_Ovname_OLoc(v_Y)),B_k))) ) ).
% 164.74/165.07
% 164.74/165.07 fof(conj_2,conjecture,
% 164.74/165.07 c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_Com_Ostate,tc_HOL_Obool),t_a),hAPP(c_COMBS(tc_Com_Ostate,tc_HOL_Obool,tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_fun(tc_HOL_Obool,tc_HOL_Obool),tc_Com_Ostate),c_fconj),hAPP(c_fequal,v_s_H)))),hAPP(hAPP(c_COMBC(t_a,tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),hAPP(hAPP(c_COMBB(tc_fun(tc_Com_Ostate,tc_HOL_Obool),tc_fun(tc_fun(tc_Com_Ostate,tc_Com_Ostate),tc_fun(tc_Com_Ostate,tc_HOL_Obool)),t_a),c_COMBB(tc_Com_Ostate,tc_HOL_Obool,tc_Com_Ostate)),v_P)),hAPP(hAPP(c_COMBS(tc_Com_Ostate,tc_Nat_Onat,tc_Com_Ostate),hAPP(hAPP(c_COMBC(tc_Com_Ostate,tc_Com_Ovname,tc_fun(tc_Nat_Onat,tc_Com_Ostate)),c_Natural_Oupdate),c_Com_Ovname_OLoc(v_Y))),v_a)))),c_Com_Ocom_OLocal(v_Y,v_a,v_c)),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))) ).
% 164.74/165.07
% 164.74/165.07 %------------------------------------------------------------------------------
% 164.74/165.07 %-------------------------------------------
% 164.74/165.07 % Proof found
% 164.74/165.07 % SZS status Theorem for theBenchmark
% 164.74/165.07 % SZS output start Proof
% 164.74/165.07 %ClaNum:10425(EqnAxiom:3082)
% 164.74/165.07 %VarNum:70497(SingletonVarNum:20587)
% 164.74/165.07 %MaxLitNum:8
% 164.74/165.07 %MaxfuncDepth:15
% 164.74/165.07 %SharedTerms:1104
% 164.74/165.07 %goalClause: 4743
% 164.74/165.07 %singleGoalClaCount:1
% 164.74/165.07 [3086]P1(a913)
% 164.74/165.07 [3087]P1(a919)
% 164.74/165.07 [3088]P107(a197)
% 164.74/165.07 [3089]P108(a913)
% 164.74/165.07 [3090]P108(a919)
% 164.74/165.07 [3091]P108(a1)
% 164.74/165.07 [3092]P108(a112)
% 164.74/165.07 [3093]P109(a913)
% 164.74/165.07 [3094]P109(a919)
% 164.74/165.07 [3095]P109(a1)
% 164.74/165.07 [3096]P109(a112)
% 164.74/165.07 [3097]P110(a919)
% 164.74/165.07 [3098]P110(a1)
% 164.74/165.07 [3099]P110(a112)
% 164.74/165.07 [3100]P111(a913)
% 164.74/165.07 [3101]P111(a919)
% 164.74/165.07 [3102]P111(a1)
% 164.74/165.07 [3103]P111(a112)
% 164.74/165.07 [3104]P2(a913)
% 164.74/165.07 [3105]P2(a922)
% 164.74/165.07 [3106]P62(a913)
% 164.74/165.07 [3107]P62(a919)
% 164.74/165.07 [3108]P62(a1)
% 164.74/165.07 [3109]P62(a112)
% 164.74/165.07 [3110]P79(a1)
% 164.74/165.07 [3111]P63(a1)
% 164.74/165.07 [3112]P83(a913)
% 164.74/165.07 [3113]P83(a919)
% 164.74/165.07 [3114]P83(a1)
% 164.74/165.07 [3115]P102(a913)
% 164.74/165.07 [3116]P102(a919)
% 164.74/165.07 [3117]P102(a1)
% 164.74/165.07 [3118]P84(a913)
% 164.74/165.07 [3119]P112(a913)
% 164.74/165.07 [3120]P85(a913)
% 164.74/165.07 [3121]P3(a913)
% 164.74/165.07 [3122]P103(a913)
% 164.74/165.07 [3123]P103(a919)
% 164.74/165.07 [3124]P103(a1)
% 164.74/165.07 [3125]P101(a913)
% 164.74/165.07 [3126]P101(a919)
% 164.74/165.07 [3127]P101(a1)
% 164.74/165.07 [3128]P69(a919)
% 164.74/165.07 [3129]P69(a1)
% 164.74/165.07 [3130]P69(a112)
% 164.74/165.07 [3131]P71(a1)
% 164.74/165.07 [3132]P86(a913)
% 164.74/165.07 [3133]P87(a913)
% 164.74/165.07 [3134]P87(a1)
% 164.74/165.07 [3135]P113(a1)
% 164.74/165.07 [3136]P114(a1)
% 164.74/165.07 [3137]P122(a1)
% 164.74/165.07 [3138]P64(a913)
% 164.74/165.07 [3139]P64(a922)
% 164.74/165.07 [3140]P115(a919)
% 164.74/165.07 [3141]P139(a919)
% 164.74/165.07 [3142]P139(a1)
% 164.74/165.07 [3143]P139(a112)
% 164.74/165.07 [3144]P72(a919)
% 164.74/165.07 [3145]P72(a1)
% 164.74/165.07 [3146]P72(a112)
% 164.74/165.07 [3147]P76(a919)
% 164.74/165.07 [3148]P76(a1)
% 164.74/165.07 [3149]P76(a112)
% 164.74/165.07 [3150]P88(a919)
% 164.74/165.07 [3151]P88(a1)
% 164.74/165.07 [3152]P88(a112)
% 164.74/165.07 [3153]P73(a919)
% 164.74/165.07 [3154]P73(a1)
% 164.74/165.07 [3155]P73(a112)
% 164.74/165.07 [3156]P74(a919)
% 164.74/165.07 [3157]P74(a1)
% 164.74/165.07 [3158]P74(a112)
% 164.74/165.07 [3159]P70(a919)
% 164.74/165.07 [3160]P70(a1)
% 164.74/165.07 [3161]P70(a112)
% 164.74/165.07 [3162]P80(a919)
% 164.74/165.07 [3163]P80(a1)
% 164.74/165.07 [3164]P80(a112)
% 164.74/165.07 [3165]P125(a919)
% 164.74/165.07 [3166]P125(a1)
% 164.74/165.07 [3167]P125(a112)
% 164.74/165.07 [3168]P89(a919)
% 164.74/165.07 [3169]P89(a1)
% 164.74/165.07 [3170]P89(a112)
% 164.74/165.07 [3171]P90(a919)
% 164.74/165.07 [3172]P90(a1)
% 164.74/165.07 [3173]P90(a112)
% 164.74/165.07 [3174]P116(a919)
% 164.74/165.07 [3175]P116(a1)
% 164.74/165.07 [3176]P116(a112)
% 164.74/165.07 [3177]P140(a919)
% 164.74/165.07 [3178]P140(a1)
% 164.74/165.07 [3179]P140(a112)
% 164.74/165.07 [3180]P81(a919)
% 164.74/165.07 [3181]P81(a1)
% 164.74/165.07 [3182]P81(a112)
% 164.74/165.07 [3183]P141(a1)
% 164.74/165.07 [3184]P128(a1)
% 164.74/165.07 [3185]P117(a1)
% 164.74/165.07 [3186]P119(a919)
% 164.74/165.07 [3187]P119(a1)
% 164.74/165.07 [3188]P119(a112)
% 164.74/165.07 [3189]P144(a919)
% 164.74/165.07 [3190]P144(a1)
% 164.74/165.07 [3191]P77(a919)
% 164.74/165.07 [3192]P77(a1)
% 164.74/165.07 [3193]P77(a112)
% 164.74/165.07 [3194]P78(a1)
% 164.74/165.07 [3195]P95(a919)
% 164.74/165.07 [3196]P95(a1)
% 164.74/165.07 [3197]P95(a112)
% 164.74/165.07 [3198]P82(a919)
% 164.74/165.07 [3199]P82(a1)
% 164.74/165.07 [3200]P82(a112)
% 164.74/165.07 [3201]P129(a919)
% 164.74/165.07 [3202]P129(a1)
% 164.74/165.07 [3203]P129(a112)
% 164.74/165.07 [3204]P143(a1)
% 164.74/165.07 [3205]P134(a919)
% 164.74/165.07 [3206]P134(a1)
% 164.74/165.07 [3207]P134(a112)
% 164.74/165.07 [3208]P145(a919)
% 164.74/165.07 [3209]P145(a1)
% 164.74/165.07 [3210]P145(a112)
% 164.74/165.07 [3211]P92(a919)
% 164.74/165.07 [3212]P92(a1)
% 164.74/165.07 [3213]P92(a112)
% 164.74/165.07 [3214]P126(a1)
% 164.74/165.07 [3215]P127(a1)
% 164.74/165.07 [3216]P135(a919)
% 164.74/165.07 [3217]P135(a1)
% 164.74/165.07 [3218]P135(a112)
% 164.74/165.07 [3219]P137(a919)
% 164.74/165.07 [3220]P137(a1)
% 164.74/165.07 [3221]P137(a112)
% 164.74/165.07 [3222]P136(a919)
% 164.74/165.07 [3223]P136(a1)
% 164.74/165.07 [3224]P136(a112)
% 164.74/165.07 [3225]P123(a919)
% 164.74/165.07 [3226]P123(a1)
% 164.74/165.07 [3227]P123(a112)
% 164.74/165.07 [3228]P130(a919)
% 164.74/165.07 [3229]P130(a1)
% 164.74/165.07 [3230]P130(a112)
% 164.74/165.07 [3231]P131(a919)
% 164.74/165.07 [3232]P131(a1)
% 164.74/165.07 [3233]P131(a112)
% 164.74/165.07 [3234]P132(a1)
% 164.74/165.07 [3235]P133(a1)
% 164.74/165.07 [3236]P104(a919)
% 164.74/165.07 [3237]P104(a1)
% 164.74/165.07 [3238]P104(a112)
% 164.74/165.07 [3239]P146(a919)
% 164.74/165.07 [3240]P146(a1)
% 164.74/165.07 [3241]P146(a112)
% 164.74/165.07 [3242]P142(a1)
% 164.74/165.07 [3243]P96(a1)
% 164.74/165.07 [3244]P118(a919)
% 164.74/165.07 [3245]P118(a1)
% 164.74/165.07 [3246]P118(a112)
% 164.74/165.07 [3247]P60(a919)
% 164.74/165.07 [3248]P60(a1)
% 164.74/165.07 [3249]P60(a112)
% 164.74/165.07 [3250]P61(a1)
% 164.74/165.07 [3251]P97(a1)
% 164.74/165.07 [3252]P98(a919)
% 164.74/165.07 [3253]P98(a1)
% 164.74/165.07 [3254]P98(a112)
% 164.74/165.07 [3255]P93(a1)
% 164.74/165.07 [3256]P91(a1)
% 164.74/165.07 [3257]P138(a1)
% 164.74/165.07 [3258]P75(a1)
% 164.74/165.07 [3259]P94(a919)
% 164.74/165.07 [3260]P94(a1)
% 164.74/165.07 [3261]P94(a112)
% 164.74/165.07 [3262]P106(a913)
% 164.74/165.07 [3263]P106(a914)
% 164.74/165.07 [3264]P106(a919)
% 164.74/165.07 [3265]P106(a917)
% 164.74/165.07 [3266]P106(a915)
% 164.74/165.07 [3267]P106(a922)
% 164.74/165.07 [3268]P106(a112)
% 164.74/165.07 [3269]P106(a330)
% 164.74/165.07 [3270]P105(a922)
% 164.74/165.07 [3271]P105(a1)
% 164.74/165.07 [3272]P100(a913)
% 164.74/165.07 [3288]P38(a919,a253)
% 164.74/165.07 [3289]P38(a919,a324)
% 164.74/165.07 [3290]P39(a919,a253)
% 164.74/165.07 [4641]~E(a110,a92)
% 164.74/165.07 [4642]~P26(a5000)
% 164.74/165.07 [4643]~P107(a252)
% 164.74/165.07 [3083]E(f2(a1),a92)
% 164.74/165.07 [3084]E(f113(a112),a3)
% 164.74/165.07 [3085]E(f23(a112),a24)
% 164.74/165.07 [3273]E(f198(a919),f2(a919))
% 164.74/165.07 [3274]E(f114(a919),f246(a919))
% 164.74/165.07 [3275]E(f115(a1),f25(a1))
% 164.74/165.07 [3276]E(f32(a26),f2(a919))
% 164.74/165.07 [3277]E(f123(a919),f247(a919))
% 164.74/165.07 [3278]E(f93(a197),f2(a919))
% 164.74/165.07 [3279]E(f93(a252),f2(a919))
% 164.74/165.07 [3280]P4(f87(a1))
% 164.74/165.07 [3281]P4(f2(a1))
% 164.74/165.07 [3329]P107(f334(a27,a26))
% 164.74/165.07 [3342]P38(f925(a919,a919),a41)
% 164.74/165.07 [3684]E(f327(a919,a919,a253,a253),a41)
% 164.74/165.07 [4644]~E(f87(a1),f2(a1))
% 164.74/165.07 [3282]E(f124(f2(a919)),f2(a919))
% 164.74/165.07 [3283]E(f4(f2(a112)),f2(a919))
% 164.74/165.07 [3294]E(f334(f88(a1),a92),a92)
% 164.74/165.07 [3297]E(f334(a125,f2(a919)),f87(a919))
% 164.74/165.07 [3298]E(f334(a117,f87(a1)),f87(a919))
% 164.74/165.07 [3299]E(f334(a3,f87(a919)),f87(a112))
% 164.74/165.07 [3301]E(f334(a3,f2(a919)),f2(a112))
% 164.74/165.07 [3303]E(f334(f116(a1),a92),f2(a1))
% 164.74/165.07 [3304]E(f334(f116(a112),a92),f2(a112))
% 164.74/165.07 [3305]E(f334(a117,f2(a1)),f2(a919))
% 164.74/165.07 [3306]E(f334(f199(a913),a197),f2(a919))
% 164.74/165.07 [3307]E(f334(f199(a913),a252),f2(a919))
% 164.74/165.07 [3308]E(f334(f199(a915),a26),f2(a919))
% 164.74/165.07 [3309]E(f334(f116(a919),a92),f2(a919))
% 164.74/165.07 [3313]E(f334(f88(a1),f87(a1)),a110)
% 164.74/165.07 [3320]E(f334(f88(a1),f2(a1)),f2(a1))
% 164.74/165.07 [3322]E(f334(f199(a112),f2(a112)),f2(a919))
% 164.74/165.07 [3323]E(f334(f113(a1),f87(a919)),f87(a1))
% 164.74/165.07 [3324]E(f334(f113(a1),f2(a919)),f2(a1))
% 164.74/165.07 [3338]E(f334(a117,f87(a1)),f334(a125,f2(a919)))
% 164.74/165.07 [3340]E(f325(f925(a919,a919),a41),a42)
% 164.74/165.07 [3341]E(f326(f925(a919,a919),a41),a43)
% 164.74/165.07 [3365]E(f334(f290(a919),f2(a919)),f198(f926(a919,a913)))
% 164.74/165.07 [3366]E(f334(f291(a919),f2(a919)),f256(f926(a919,a913)))
% 164.74/165.07 [3375]P40(f198(f926(a1,a913)))
% 164.74/165.07 [3409]E(f334(f334(f23(a112),f2(a112)),f87(a112)),f2(a112))
% 164.74/165.07 [3487]P107(f334(f334(f249(a1),a110),f2(a1)))
% 164.74/165.07 [3511]P107(f334(f334(f248(a1),f2(a1)),f87(a1)))
% 164.74/165.07 [3513]P107(f334(f334(f249(a1),f2(a1)),f87(a1)))
% 164.74/165.07 [3715]E(f334(f334(f296(a919,a919,a919),a324),f314(a919,a324)),a253)
% 164.74/165.07 [3757]P42(a1,a919,a117,f334(f248(a1),f2(a1)))
% 164.74/165.07 [3761]E(f334(f334(f48(a919,f926(a919,a913)),f256(f926(a919,a913))),f290(a919)),f256(f926(a919,a913)))
% 164.74/165.07 [3762]E(f334(f334(f48(a919,f926(a919,a913)),f256(f926(a919,a913))),f291(a919)),f256(f926(a919,a913)))
% 164.74/165.07 [3763]E(f334(f334(f48(a919,f926(a919,a913)),f256(f926(a919,a913))),f308(a919)),f256(f926(a919,a913)))
% 164.74/165.07 [3764]E(f334(f334(f49(a919,f926(a919,a913)),f256(f926(a919,a913))),f311(a919)),f198(f926(a919,a913)))
% 164.74/165.07 [3780]P23(a919,a1,f113(a1),f256(f926(a919,a913)))
% 164.74/165.07 [3794]P42(a919,a1,f113(a1),f334(f16(a913,a919),a197))
% 164.74/165.07 [3929]E(f334(f81(a919,a112,a1,a3),a117),f116(a112))
% 164.74/165.07 [4150]P56(a112,a919,a20,a3,f256(f926(a919,a913)))
% 164.74/165.07 [4157]P56(a1,f926(f925(a919,a919),a913),a120,a98,a111)
% 164.74/165.07 [4412]E(f271(a1,a1,a1,a1,f25(a1),f88(a1)),a60)
% 164.74/165.07 [4667]~E(f334(f116(a1),a110),f334(f116(a1),a92))
% 164.74/165.07 [4668]~P107(f334(a203,f87(a1)))
% 164.74/165.07 [4669]~P107(f334(a203,f2(a1)))
% 164.74/165.07 [4710]~P107(f334(f334(f249(a1),a92),f2(a1)))
% 164.74/165.07 [3357]E(f334(f334(f23(a1),a110),a110),a92)
% 164.74/165.07 [3373]E(f334(f113(a1),f334(a125,f2(a919))),f87(a1))
% 164.74/165.07 [3438]E(f334(f44(a922),f256(f926(a922,a913))),f87(a919))
% 164.74/165.07 [3460]P107(f334(a203,f334(f116(a1),a110)))
% 164.74/165.07 [3462]P107(f334(f334(f248(a1),a110),a92))
% 164.74/165.07 [3464]P107(f334(f334(f249(a1),a110),a92))
% 164.74/165.07 [3522]E(f334(f334(f316(a919),f2(a919)),f198(f926(a919,a913))),f334(f308(a919),f2(a919)))
% 164.74/165.07 [3577]P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),a92)))
% 164.74/165.07 [3588]E(f334(f317(a919,a919,a125),f256(f926(a919,a913))),f334(f311(a919),f2(a919)))
% 164.74/165.07 [3625]P6(f925(a919,a919),f256(f926(f925(a919,a919),a913)),a121)
% 164.74/165.07 [3936]E(f334(f81(a919,a1,a112,f113(a1)),a20),a22)
% 164.74/165.07 [3997]P38(a919,f334(f254(f925(a919,a919)),f334(f270(a919,a919,a913),f249(a919))))
% 164.74/165.07 [4701]~P107(f334(a203,f334(f116(a1),a92)))
% 164.74/165.07 [4702]~P107(f334(f334(f248(a1),a92),a110))
% 164.74/165.07 [4703]~P107(f334(f334(f249(a1),a92),a92))
% 164.74/165.07 [4704]~P107(f334(f334(f249(a1),a92),a110))
% 164.74/165.07 [4705]~P107(f334(f334(f249(a1),a110),a110))
% 164.74/165.07 [4716]~P107(f334(f70(a919),f256(f926(a919,a913))))
% 164.74/165.07 [4717]~P107(f334(f70(a1),f256(f926(a1,a913))))
% 164.74/165.07 [4110]P22(a912,a928,f334(f334(f316(f918(a912)),f334(f334(f334(f100(a912),a929),a930),a931)),f198(f926(f918(a912),a913))))
% 164.74/165.07 [4579]E(f334(f270(a1,a1,a913),f334(f334(f8(f926(a1,a913),f926(a1,a913),a1),f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f249(a1),f2(a1))))),f334(f334(f7(a1,a1,f926(a1,a913)),f334(f334(f8(f926(a1,f926(a1,a913)),f926(a1,f926(a1,a913)),a1),f7(a1,a1,a913)),f334(f334(f8(f926(a1,a1),f926(a1,f926(a1,a913)),a1),f334(f8(a1,f926(a1,a913),a1),a331)),a231))),f87(a1)))),a227)
% 164.74/165.07 [4743]~P22(a912,a928,f334(f334(f316(f918(a912)),f334(f334(f334(f100(a912),f334(f334(f8(f926(a914,a913),f926(a914,a913),a912),f334(f18(a914,a913,a913),f334(f334(f8(a913,f926(a913,a913),a914),a333),f334(a331,a934)))),f334(f334(f7(a912,f926(a914,a914),f926(a914,a913)),f334(f334(f8(f926(a914,a913),f926(f926(a914,a914),f926(a914,a913)),a912),f8(a914,a913,a914)),a929)),f334(f334(f18(a914,a919,a914),f334(f334(f7(a914,a917,f926(a919,a914)),a207),f36(a932))),a933)))),f30(a932,a933,a930)),a931)),f198(f926(f918(a912),a913))))
% 164.74/165.07 [3659]E(f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110),f334(f88(a1),a110))
% 164.74/165.07 [3697]E(f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110),f334(f334(f23(a1),a92),a110))
% 164.74/165.07 [3863]E(f334(f334(f69(f925(a919,a919)),f256(f926(f925(a919,a919),a913))),a121),a111)
% 164.74/165.07 [3892]E(f334(f116(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f87(a1))
% 164.74/165.07 [3893]E(f334(f116(a112),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f87(a112))
% 164.74/165.07 [3894]E(f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f87(a919))
% 164.74/165.07 [3898]E(f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(a125,f2(a919)))
% 164.74/165.07 [4279]E(f334(f334(f123(f926(f925(f925(a919,a919),f925(a919,a919)),a913)),a41),f314(f925(a919,a919),f198(f926(f925(f925(a919,a919),f925(a919,a919)),a913)))),a79)
% 164.74/165.07 [4346]E(f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),f87(a919)),f2(a919))),f198(f926(f925(a919,a919),a913))))),f87(a1))
% 164.74/165.07 [4347]E(f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),f2(a919)),f2(a919))),f198(f926(f925(a919,a919),a913))))),f2(a1))
% 164.74/165.07 [4360]E(f334(f254(f925(a919,a919)),f334(f270(a919,a919,a913),f334(f334(f8(a919,f926(a919,a913),a919),f334(f7(a919,a919,a913),a331)),a125))),a324)
% 164.74/165.07 [4332]E(f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),f334(a125,f334(a125,f2(a919))))
% 164.74/165.07 [4335]E(f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),f334(f334(f89(a919),f87(a919)),f87(a919)))
% 164.74/165.07 [4336]E(f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),f334(f44(a913),f256(f926(a913,a913))))
% 164.74/165.07 [4399]P4(f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))
% 164.74/165.07 [4468]P25(f926(f925(a919,a919),a913),f334(f334(f266(f926(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),a913),f926(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),a913)),a42),a80))
% 164.74/165.07 [4469]P25(f926(f925(a919,a919),a913),f334(f334(f266(f926(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),a913),f926(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),a913)),a43),a78))
% 164.74/165.07 [4510]E(f334(f334(f123(f926(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),a913)),f326(f925(a919,a919),a79)),f334(f334(f316(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),f334(f334(f266(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),f198(f926(f925(a919,a919),a913))),f198(f926(f925(a919,a919),a913)))),f198(f926(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),a913)))),a78)
% 164.74/165.07 [4511]E(f334(f334(f123(f926(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),a913)),f325(f925(a919,a919),a79)),f334(f334(f316(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),f334(f334(f266(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),f198(f926(f925(a919,a919),a913))),f198(f926(f925(a919,a919),a913)))),f198(f926(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),a913)))),a80)
% 164.74/165.07 [4401]E(f334(a117,f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f334(a125,f334(a125,f2(a919))))
% 164.74/165.07 [4446]E(f334(f113(a1),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))
% 164.74/165.07 [4480]P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))
% 164.74/165.07 [4481]E(f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),a110)),f334(a125,f334(a125,f334(a125,f2(a919)))))
% 164.74/165.07 [4525]P4(f334(f116(a1),f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),a110)))
% 164.74/165.07 [4551]E(f334(f113(a1),f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),a110))),f334(f116(a1),f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),a110)))
% 164.74/165.07 [4564]P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),a110))))
% 164.74/165.07 [3291]P5(x32911,a331)
% 164.74/165.07 [3685]P23(a919,a919,a125,x36851)
% 164.74/165.07 [3284]P106(f918(x32841))
% 164.74/165.07 [3285]P106(f923(x32851))
% 164.74/165.07 [3286]P106(f920(x32861))
% 164.74/165.07 [3287]P106(f921(x32871))
% 164.74/165.07 [3310]P38(a1,f118(x33101))
% 164.74/165.07 [3311]P38(a1,f119(x33111))
% 164.74/165.07 [3361]P38(f926(x33611,a913),f321(x33611))
% 164.74/165.07 [3362]P39(f926(x33621,a913),f321(x33621))
% 164.74/165.07 [3387]E(f257(x33871,x33871,a331),a331)
% 164.74/165.07 [3402]E(f54(a1,x34021,x34021),f2(a1))
% 164.74/165.07 [3457]P13(x34571,f926(x34571,a913),f316(x34571))
% 164.74/165.07 [4648]~E(f334(a125,x46481),x46481)
% 164.74/165.07 [4660]~E(f334(a125,x46601),f2(a919))
% 164.74/165.07 [3292]E(f38(f36(x32921)),f2(a919))
% 164.74/165.07 [3293]E(f38(f37(x32931)),f2(a919))
% 164.74/165.07 [3295]E(f334(f199(a919),x32951),x32951)
% 164.74/165.07 [3296]E(f334(f116(a1),x32961),x32961)
% 164.74/165.07 [3312]E(f334(a98,f335(x33121)),x33121)
% 164.74/165.07 [3325]E(f127(x33251,f126(x33251)),f126(x33251))
% 164.74/165.07 [3326]E(f162(x33261,f126(x33261)),f126(x33261))
% 164.74/165.07 [3330]E(f334(f199(a917),f36(x33301)),f2(a919))
% 164.74/165.07 [3331]E(f334(f199(a917),f37(x33311)),f2(a919))
% 164.74/165.07 [3335]E(f334(f177(x33351),f126(x33351)),f126(x33351))
% 164.74/165.07 [3336]E(f334(f181(x33361),f126(x33361)),f126(x33361))
% 164.74/165.07 [3337]E(f334(f178(x33371),f126(x33371)),f126(x33371))
% 164.74/165.07 [3343]E(f334(f116(a1),x33431),f334(f115(a1),x33431))
% 164.74/165.07 [3344]E(f334(a98,f334(a120,x33441)),x33441)
% 164.74/165.07 [3346]E(f334(a3,f334(a20,x33461)),x33461)
% 164.74/165.07 [3347]E(f334(a20,f334(a3,x33471)),x33471)
% 164.74/165.07 [3348]P4(f334(f113(a1),x33481))
% 164.74/165.07 [3355]E(f334(f199(f920(x33551)),f126(x33551)),f2(a919))
% 164.74/165.07 [3356]E(f334(f199(f921(x33561)),f132(x33561)),f2(a919))
% 164.74/165.07 [3378]E(f334(f334(f23(a919),x33781),f2(a919)),x33781)
% 164.74/165.07 [3379]E(f334(f334(f90(a919),x33791),f87(a919)),x33791)
% 164.74/165.07 [3380]E(f334(f334(f90(a1),x33801),f87(a1)),x33801)
% 164.74/165.07 [3381]E(f334(f334(f89(a919),x33811),f2(a919)),x33811)
% 164.74/165.07 [3382]E(f334(f334(f89(a1),x33821),f2(a1)),x33821)
% 164.74/165.07 [3383]E(f334(f334(f247(a919),x33831),f2(a919)),x33831)
% 164.74/165.07 [3384]E(f334(f334(f90(a919),x33841),f2(a919)),f2(a919))
% 164.74/165.07 [3385]E(f334(f334(f246(a919),x33851),f2(a919)),f2(a919))
% 164.74/165.07 [3386]E(f334(f334(f45(a1),x33861),f2(a1)),f2(a1))
% 164.74/165.07 [3393]E(f334(f182(x33931),f126(x33931)),f198(f926(x33931,a913)))
% 164.74/165.07 [3397]P107(f334(f147(x33971),f126(x33971)))
% 164.74/165.07 [3403]E(f334(f164(x34031,x34031),f5(x34031)),f25(f920(x34031)))
% 164.74/165.07 [3404]E(f334(f164(x34041,x34041),f25(x34041)),f25(f920(x34041)))
% 164.74/165.07 [3405]E(f54(a1,x34051,f2(a1)),x34051)
% 164.74/165.07 [3406]E(f334(f248(a919),f334(a125,x34061)),f334(f249(a919),x34061))
% 164.74/165.07 [3407]E(f334(f290(a919),f334(a125,x34071)),f334(f308(a919),x34071))
% 164.74/165.07 [3408]E(f334(f291(a919),f334(a125,x34081)),f334(f311(a919),x34081))
% 164.74/165.07 [3410]E(f54(a1,f2(a1),x34101),f2(a1))
% 164.74/165.07 [3423]E(f334(f334(f89(a919),x34231),f87(a919)),f334(a125,x34231))
% 164.74/165.07 [3432]E(f334(f309(a919,x34321),f2(a919)),f198(f926(a919,a913)))
% 164.74/165.07 [3444]E(f310(a919,f2(a919),x34441),f334(f308(a919),x34441))
% 164.74/165.07 [3490]E(f334(f334(f23(a919),f334(a125,x34901)),f87(a919)),x34901)
% 164.74/165.07 [3502]E(f56(f2(a1),x35021),f334(f334(f266(a1,a1),f2(a1)),f2(a1)))
% 164.74/165.07 [3552]P107(f334(f334(f249(a919),x35521),f334(a125,x35521)))
% 164.74/165.07 [3564]P107(f334(f334(f249(a919),f2(a919)),f334(a125,x35641)))
% 164.74/165.07 [3793]E(f101(x37931,x37931,f256(f926(x37931,a913)),f25(x37931)),f25(x37931))
% 164.74/165.07 [3850]E(f334(f334(f23(a112),f334(a3,f334(a125,f334(a20,x38501)))),f87(a112)),x38501)
% 164.74/165.07 [3921]P107(f334(f334(f248(a1),f334(f88(a1),f334(f113(a1),x39211))),f2(a1)))
% 164.74/165.07 [4068]P107(f334(f334(f249(a1),f334(f88(a1),f334(f113(a1),f334(a125,x40681)))),f2(a1)))
% 164.74/165.07 [4674]~E(f256(f926(x46741,a913)),f198(f926(x46741,a913)))
% 164.74/165.07 [4713]~P107(f334(f334(f249(a919),x47131),f2(a919)))
% 164.74/165.07 [4726]~P107(f334(f334(f249(a1),f334(f113(a1),x47261)),f2(a1)))
% 164.74/165.07 [3360]E(f189(x33601,f126(f920(x33601))),f126(f920(x33601)))
% 164.74/165.07 [3363]E(f334(f334(f90(a1),a92),x33631),a92)
% 164.74/165.07 [3364]E(f334(f334(f89(a1),a92),x33641),x33641)
% 164.74/165.07 [3367]E(f334(a117,f334(f113(a1),x33671)),x33671)
% 164.74/165.07 [3368]E(f334(f334(f23(a1),x33681),a92),x33681)
% 164.74/165.07 [3369]E(f334(f334(f89(a1),x33691),a92),x33691)
% 164.74/165.07 [3372]E(f334(f334(f23(a919),x33721),x33721),f2(a919))
% 164.74/165.07 [3376]E(f334(f88(a1),f334(f88(a1),x33761)),x33761)
% 164.74/165.07 [3377]E(f334(f44(a919),f334(f290(a919),x33771)),x33771)
% 164.74/165.07 [3388]E(f334(f334(f90(a919),f87(a919)),x33881),x33881)
% 164.74/165.07 [3389]E(f334(f334(f90(a1),f87(a1)),x33891),x33891)
% 164.74/165.07 [3390]E(f334(f334(f89(a919),f2(a919)),x33901),x33901)
% 164.74/165.07 [3391]E(f334(f334(f89(a1),f2(a1)),x33911),x33911)
% 164.74/165.07 [3392]E(f334(f334(f247(a919),f2(a919)),x33921),x33921)
% 164.74/165.07 [3398]E(f334(f334(f23(a919),f2(a919)),x33981),f2(a919))
% 164.74/165.07 [3399]E(f334(f334(f90(a919),f2(a919)),x33991),f2(a919))
% 164.74/165.07 [3400]E(f334(f334(f246(a919),f2(a919)),x34001),f2(a919))
% 164.74/165.07 [3401]E(f334(f334(f45(a1),f2(a1)),x34011),f2(a1))
% 164.74/165.07 [3411]E(f139(x34111,f334(f88(a1),x34111)),f142(a1,x34111))
% 164.74/165.07 [3416]E(f334(f309(a919,f2(a919)),x34161),f334(f290(a919),x34161))
% 164.74/165.07 [3417]E(f334(f334(f90(a1),a110),x34171),f334(f88(a1),x34171))
% 164.74/165.07 [3425]E(f334(a117,f334(f116(a1),x34251)),f334(f116(a919),x34251))
% 164.74/165.07 [3426]E(f334(a20,f334(f116(a112),x34261)),f334(f116(a919),x34261))
% 164.74/165.07 [3427]E(f334(f44(a919),f334(f308(a919),x34271)),f334(a125,x34271))
% 164.74/165.07 [3436]E(f334(f334(f89(a919),f87(a919)),x34361),f334(a125,x34361))
% 164.74/165.07 [3440]E(f334(f115(a1),f334(f113(a1),x34401)),f334(f113(a1),x34401))
% 164.74/165.07 [3441]E(f334(f84(a1),f334(f113(a1),x34411)),f334(f113(a1),x34411))
% 164.74/165.07 [3445]E(f334(f44(x34451),f198(f926(x34451,a913))),f2(a919))
% 164.74/165.07 [3447]E(f334(f334(f45(a919),x34471),f334(a125,f2(a919))),x34471)
% 164.74/165.07 [3458]E(f54(a919,x34581,f334(a125,f2(a919))),f2(a919))
% 164.74/165.07 [3459]E(f54(a1,x34591,f334(f116(a1),a110)),f2(a1))
% 164.74/165.07 [3473]E(f334(f334(f45(a1),x34731),f334(f116(a1),a110)),f334(f88(a1),x34731))
% 164.74/165.07 [3477]E(f149(a919,f334(f309(a919,x34771),f2(a919))),f126(a919))
% 164.74/165.07 [3478]E(f334(f334(f89(a1),x34781),f87(a1)),f334(f334(f23(a1),x34781),a110))
% 164.74/165.07 [3479]E(f334(f334(f23(a1),x34791),f87(a1)),f334(f334(f89(a1),x34791),a110))
% 164.74/165.07 [3484]P107(f334(f334(f204(a26),x34841),x34841))
% 164.74/165.07 [3485]P107(f334(f334(f248(a919),x34851),x34851))
% 164.74/165.07 [3486]P107(f334(f334(f248(a1),x34861),x34861))
% 164.74/165.07 [3491]E(f334(f88(a1),f334(f116(a1),x34911)),f334(f116(a1),f334(f88(a1),x34911)))
% 164.74/165.07 [3492]P107(f334(f70(a919),f334(f290(a919),x34921)))
% 164.74/165.07 [3493]P107(f334(f70(a919),f334(f308(a919),x34931)))
% 164.74/165.07 [3500]E(f171(x35001,f256(f926(x35001,a913))),f256(f926(f920(x35001),a913)))
% 164.74/165.07 [3505]P107(f334(f334(f248(a919),f2(a919)),x35051))
% 164.74/165.07 [3515]E(f334(f334(f89(a919),f124(x35151)),f334(a125,f2(a919))),f124(f334(a125,x35151)))
% 164.74/165.07 [3516]E(f334(f254(x35161),f334(f16(a913,x35161),a252)),f198(f926(x35161,a913)))
% 164.74/165.07 [3517]E(f334(f254(x35171),f334(f16(a913,x35171),a197)),f256(f926(x35171,a913)))
% 164.74/165.07 [3521]E(f334(f334(f316(a919),x35211),f334(f290(a919),x35211)),f334(f290(a919),f334(a125,x35211)))
% 164.74/165.07 [3533]E(f334(f334(f89(a1),f87(a1)),f334(f113(a1),x35331)),f334(f113(a1),f334(a125,x35331)))
% 164.74/165.07 [3535]E(f334(f334(f161(f920(x35351)),f126(x35351)),f126(f920(x35351))),f63(x35351,f126(x35351)))
% 164.74/165.07 [3555]E(f198(f926(f925(x35551,x35551),a913)),f255(x35551,f198(f926(x35551,a913))))
% 164.74/165.07 [3556]E(f334(f315(x35561),f256(f926(x35561,a913))),f256(f926(f926(x35561,a913),a913)))
% 164.74/165.07 [3557]E(f334(f88(f926(x35571,a913)),f198(f926(x35571,a913))),f256(f926(x35571,a913)))
% 164.74/165.07 [3558]E(f334(f88(f926(x35581,a913)),f256(f926(x35581,a913))),f198(f926(x35581,a913)))
% 164.74/165.07 [3560]P107(f334(f70(x35601),f198(f926(x35601,a913))))
% 164.74/165.07 [3562]E(f334(f309(a919,x35621),f334(a125,x35621)),f334(f334(f316(a919),x35621),f198(f926(a919,a913))))
% 164.74/165.07 [3563]E(f94(f925(a919,a919),f57(x35631,f2(a919))),f334(f334(f266(a919,a919),f2(a919)),x35631))
% 164.74/165.07 [3576]E(f334(f334(f316(a919),f334(a125,x35761)),f334(f308(a919),x35761)),f334(f308(a919),f334(a125,x35761)))
% 164.74/165.07 [3580]P38(x35801,f198(f926(f925(x35801,x35801),a913)))
% 164.74/165.07 [3583]P107(f334(f334(f248(a1),f2(a1)),f334(f113(a1),x35831)))
% 164.74/165.07 [3590]E(f334(f334(f89(a919),f334(f199(a919),x35901)),f334(a125,f2(a919))),f334(f199(a919),f334(a125,x35901)))
% 164.74/165.07 [3692]P40(f334(f317(a919,a1,f113(a1)),x36921))
% 164.74/165.07 [3729]P41(x37291,f198(f926(x37291,a913)),f198(f926(f925(x37291,x37291),a913)))
% 164.74/165.07 [3753]E(f334(f334(f266(a1,a1),f334(f116(a1),a110)),f334(f334(f23(a1),x37531),f87(a1))),f59(f334(f116(a1),a110),x37531))
% 164.74/165.07 [3806]P59(x38061,f334(f16(f926(x38061,a913),x38061),f334(f16(a913,x38061),a252)))
% 164.74/165.07 [4008]P107(f334(f334(f336(f926(f925(a919,a919),a913)),f335(x40081)),a111))
% 164.74/165.07 [4034]P107(f334(f334(f336(f926(f925(a919,a919),a913)),f334(a120,x40341)),a111))
% 164.74/165.07 [4166]P23(x41661,f926(x41661,a913),f334(f334(f7(x41661,f926(x41661,a913),f926(x41661,a913)),f316(x41661)),f198(f926(x41661,a913))),f256(f926(x41661,a913)))
% 164.74/165.07 [4671]~E(f334(f334(f89(a1),x46711),x46711),a110)
% 164.74/165.07 [4700]~E(f334(a3,f334(a125,f334(a20,x47001))),f2(a112))
% 164.74/165.07 [4706]~P107(f334(a203,f334(f113(a1),x47061)))
% 164.74/165.07 [4709]~P107(f334(f334(f249(a919),x47091),x47091))
% 164.74/165.07 [4719]~P107(f334(f334(f248(a919),f334(a125,x47191)),x47191))
% 164.74/165.07 [3507]E(f334(a117,f334(f88(a1),f334(f113(a1),x35071))),f2(a919))
% 164.74/165.07 [3510]E(f334(f334(f89(a1),f334(f88(a1),x35101)),x35101),f2(a1))
% 164.74/165.07 [3514]E(f334(f44(a1),f334(f309(a1,f2(a1)),x35141)),f334(a117,x35141))
% 164.74/165.07 [3526]E(f334(f334(f258(a919),f334(a125,f2(a919))),x35261),f334(a125,f2(a919)))
% 164.74/165.07 [3622]E(f334(f289(x36221),f198(f926(f925(x36221,x36221),a913))),f198(f926(x36221,a913)))
% 164.74/165.07 [3630]E(f47(f926(x36301,a913),f198(f926(f926(x36301,a913),a913))),f256(f926(x36301,a913)))
% 164.74/165.07 [3631]E(f47(f926(x36311,a913),f256(f926(f926(x36311,a913),a913))),f198(f926(x36311,a913)))
% 164.74/165.07 [3632]E(f46(f926(x36321,a913),f198(f926(f926(x36321,a913),a913))),f198(f926(x36321,a913)))
% 164.74/165.07 [3633]E(f46(f926(x36331,a913),f256(f926(f926(x36331,a913),a913))),f256(f926(x36331,a913)))
% 164.74/165.07 [3675]E(f334(f334(f316(f920(x36751)),f126(x36751)),f198(f926(f920(x36751),a913))),f171(x36751,f198(f926(x36751,a913))))
% 164.74/165.07 [3676]E(f334(f334(f316(f920(x36761)),f126(x36761)),f198(f926(f920(x36761),a913))),f172(x36761,f126(f926(x36761,a913))))
% 164.74/165.07 [3714]E(f334(f334(f89(a919),f4(x37141)),f334(a125,f2(a919))),f4(f334(a3,f334(a125,f334(a20,x37141)))))
% 164.74/165.07 [3744]E(f334(f44(a1),f334(f317(a919,a1,f113(a1)),x37441)),f334(f44(a919),x37441))
% 164.74/165.07 [3745]P107(f334(f334(f248(a919),x37451),f334(f334(f90(a919),x37451),x37451)))
% 164.74/165.07 [3784]E(f334(f317(a1,a919,a117),f310(a1,f2(a1),f334(f113(a1),x37841))),f334(f308(a919),x37841))
% 164.74/165.07 [3801]E(f334(f334(f45(a919),f334(a125,f2(a919))),f334(f116(a919),x38011)),f334(a117,f334(f334(f45(a1),f87(a1)),f334(f116(a1),x38011))))
% 164.74/165.07 [3803]E(f334(f182(a919),f149(a919,f334(f309(a919,f2(a919)),f334(a125,x38031)))),f334(f308(a919),x38031))
% 164.74/165.07 [3804]E(f334(f334(f89(a919),f334(f199(a112),x38041)),f334(a125,f2(a919))),f334(f199(a112),f334(a3,f334(a125,f334(a20,x38041)))))
% 164.74/165.07 [3825]E(f334(f317(a1,a919,a117),f334(f317(a919,a1,f113(a1)),x38251)),x38251)
% 164.74/165.07 [3856]E(f334(f334(f316(a919),f2(a919)),f334(f317(a919,a919,a125),f334(f290(a919),x38561))),f334(f290(a919),f334(a125,x38561)))
% 164.74/165.07 [3862]P54(x38621,x38621,f314(x38621,f198(f926(f925(x38621,x38621),a913))))
% 164.74/165.07 [3868]P107(f334(a203,f334(f88(a1),f334(f113(a1),f334(a125,x38681)))))
% 164.74/165.07 [3878]E(f334(f334(f23(f926(a919,a913)),f334(f291(a919),x38781)),f334(f334(f316(a919),x38781),f198(f926(a919,a913)))),f334(f291(a919),f334(a125,x38781)))
% 164.74/165.07 [3895]E(f334(f334(f89(a1),f334(f334(f23(a1),a92),x38951)),f334(f334(f23(a1),a92),x38951)),f334(f334(f23(a1),a92),f334(f334(f89(a1),x38951),x38951)))
% 164.74/165.07 [3910]E(f334(f334(f316(f926(x39101,a913)),f198(f926(x39101,a913))),f198(f926(f926(x39101,a913),a913))),f334(f315(x39101),f198(f926(x39101,a913))))
% 164.74/165.07 [3937]E(f334(f334(f23(f926(a919,a913)),f334(f311(a919),x39371)),f334(f334(f316(a919),f334(a125,x39371)),f198(f926(a919,a913)))),f334(f311(a919),f334(a125,x39371)))
% 164.74/165.07 [4046]E(f334(f116(a919),f334(f334(f89(a1),x40461),x40461)),f334(f334(f95(a919,a919),f334(f116(a919),x40461)),f334(f334(f18(a919,a919,a919),f89(a919)),f5(a919))))
% 164.74/165.07 [4421]P13(x44211,f926(x44211,a913),f334(f334(f8(f926(x44211,a913),f926(f926(x44211,a913),f926(x44211,a913)),x44211),f334(f7(f926(x44211,a913),f926(x44211,a913),f926(x44211,a913)),f23(f926(x44211,a913)))),f334(f334(f7(x44211,f926(x44211,a913),f926(x44211,a913)),f316(x44211)),f198(f926(x44211,a913)))))
% 164.74/165.07 [4509]E(f334(f254(f925(a1,a1)),f334(f270(a1,a1,a913),f334(f334(f8(f926(a1,a913),f926(a1,a913),a1),f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f248(a1),x45091)))),f249(a1)))),f118(x45091))
% 164.74/165.07 [4542]E(f334(f254(f925(a1,a1)),f334(f270(a1,a1,a913),f334(f334(f18(a1,f926(a1,a913),f926(a1,a913)),f334(f334(f8(f926(a913,a913),f926(f926(a1,a913),f926(a1,a913)),a1),f8(a913,a913,a1)),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f248(a1),x45421)))),f249(a1)))),f119(x45421))
% 164.74/165.07 [4595]E(f334(f254(f925(f926(x45951,a913),f926(x45951,a913))),f334(f270(f926(x45951,a913),f926(x45951,a913),a913),f334(f334(f7(f926(x45951,a913),f926(f926(x45951,a913),a913),f926(f926(x45951,a913),a913)),f334(f334(f8(f926(f926(x45951,a913),f926(a913,a913)),f926(f926(f926(x45951,a913),a913),f926(f926(x45951,a913),a913)),f926(x45951,a913)),f18(f926(x45951,a913),a913,a913)),f334(f334(f8(f926(f926(x45951,a913),a913),f926(f926(x45951,a913),f926(a913,a913)),f926(x45951,a913)),f334(f8(a913,f926(a913,a913),f926(x45951,a913)),a333)),f249(f926(x45951,a913))))),f70(x45951)))),f321(x45951))
% 164.74/165.07 [4723]~P107(f334(f70(f920(x47231)),f256(f926(f920(x47231),a913))))
% 164.74/165.07 [4735]~P107(f334(f334(f248(a1),f2(a1)),f334(f88(a1),f334(f113(a1),f334(a125,x47351)))))
% 164.74/165.07 [3654]E(f334(f334(f23(a1),f334(f334(f89(a1),x36541),a110)),a110),x36541)
% 164.74/165.07 [3668]E(f334(f182(a919),f149(a919,f334(f309(a919,f2(a919)),x36681))),f334(f290(a919),x36681))
% 164.74/165.07 [3917]E(f334(f334(f89(a1),f334(f334(f89(a1),f87(a1)),x39171)),x39171),f334(f334(f23(a1),f334(f334(f89(a1),x39171),x39171)),a110))
% 164.74/165.07 [3964]E(f334(f294(x39641,x39641),f314(x39641,f198(f926(f925(x39641,x39641),a913)))),f314(x39641,f198(f926(f925(x39641,x39641),a913))))
% 164.74/165.07 [4011]P107(f334(f334(f248(a919),x40111),f334(f334(f90(a919),x40111),f334(f334(f90(a919),x40111),x40111))))
% 164.74/165.07 [4283]P107(f334(f70(a919),f334(f254(a919),f334(f334(f7(a919,a919,a913),f248(a919)),x42831))))
% 164.74/165.07 [4284]P107(f334(f70(a919),f334(f254(a919),f334(f334(f7(a919,a919,a913),f249(a919)),x42841))))
% 164.74/165.07 [4558]E(f334(f254(f925(x45581,x45581)),f334(f334(f8(f926(x45581,a913),a913,f925(x45581,x45581)),f96(x45581)),f334(f334(f7(f925(x45581,x45581),f926(x45581,f925(x45581,x45581)),f926(x45581,a913)),f334(f334(f8(f926(f925(x45581,x45581),a913),f926(f926(x45581,f925(x45581,x45581)),f926(x45581,a913)),f925(x45581,x45581)),f8(f925(x45581,x45581),a913,x45581)),a331)),f334(f334(f18(x45581,x45581,f925(x45581,x45581)),f266(x45581,x45581)),f5(x45581))))),f314(x45581,f198(f926(f925(x45581,x45581),a913))))
% 164.74/165.07 [4725]~E(f334(f334(f23(a1),f334(f334(f89(a1),x47251),x47251)),a110),a92)
% 164.74/165.07 [4727]~E(f334(f334(f89(a1),f334(f334(f89(a1),f87(a1)),x47271)),x47271),f2(a1))
% 164.74/165.07 [4059]E(f334(f334(f89(a1),f334(f334(f23(a1),a110),x40591)),f334(f334(f23(a1),a110),x40591)),f334(f334(f23(a1),a110),f334(f334(f23(a1),f334(f334(f89(a1),x40591),x40591)),a110)))
% 164.74/165.07 [4174]E(f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f23(a1),a110),x41741)),f334(f334(f23(a1),a110),x41741))),a110),f334(f334(f23(a1),a110),f334(f334(f89(a1),x41741),x41741)))
% 164.74/165.07 [4206]E(f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f89(a1),x42061),a110)),f334(f334(f89(a1),x42061),a110))),a110),f334(f334(f89(a1),f334(f334(f89(a1),x42061),x42061)),a110))
% 164.74/165.07 [4244]E(f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f23(a1),a110),x42441)),f334(f334(f23(a1),a110),x42441))),a110),f334(f334(f23(a1),a92),f334(f334(f23(a1),f334(f334(f89(a1),x42441),x42441)),a110)))
% 164.74/165.07 [4342]E(f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x43421),f2(a919))),f198(f926(f925(a919,a919),a913))))),f334(f113(a1),x43421))
% 164.74/165.07 [4352]E(f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),f433(x43521)),f487(x43521))),f198(f926(f925(a919,a919),a913))))),x43521)
% 164.74/165.07 [4385]E(f334(f254(a1),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f248(a1),f2(a1)))),x43851)),f334(f317(a919,a1,f113(a1)),f334(f254(a919),f334(f334(f8(a1,a913,a919),x43851),f113(a1)))))
% 164.74/165.07 [4429]P40(f334(f254(a1),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f248(a1),f2(a1)))),x44291)))
% 164.74/165.07 [4449]P107(f334(f334(f336(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),f334(f334(f266(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),x44491),f198(f926(f925(a919,a919),a913)))),a80))
% 164.74/165.07 [4454]E(f334(f317(a1,a919,a117),f334(f254(a1),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f248(a1),f2(a1)))),f334(f334(f8(a919,a913,a1),x44541),a117)))),f334(f254(a919),x44541))
% 164.74/165.07 [4610]E(f319(a919,f334(f334(f48(f925(a919,a919),f926(a919,a913)),f334(a120,x46101)),f334(f270(a919,a919,f926(a919,a913)),f334(f334(f7(a919,f926(a919,a913),f926(a919,f926(a919,a913))),f334(f334(f8(f926(a919,f926(f926(a919,a913),f926(a919,a913))),f926(f926(a919,a913),f926(a919,f926(a919,a913))),a919),f7(a919,f926(a919,a913),f926(a919,a913))),f334(f334(f8(f926(a919,a919),f926(a919,f926(f926(a919,a913),f926(a919,a913))),a919),f334(f8(a919,f926(f926(a919,a913),f926(a919,a913)),a919),f316(a919))),f23(a919)))),f198(f926(a919,a913)))))),f334(a117,x46101))
% 164.74/165.07 [4101]E(f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),x41011),x41011)),a110)),a110),f334(f334(f89(a1),x41011),x41011))
% 164.74/165.07 [4151]E(f334(f334(f23(a1),f334(f334(f23(a1),f334(f334(f89(a1),x41511),x41511)),a110)),a110),f334(f334(f89(a1),f334(f334(f23(a1),x41511),a110)),f334(f334(f23(a1),x41511),a110)))
% 164.74/165.07 [4358]E(f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f89(a1),f334(f88(a1),x43581)),a110)),f334(f334(f89(a1),f334(f88(a1),x43581)),a110))),a110),f334(f88(a1),f334(f334(f23(a1),f334(f334(f89(a1),x43581),x43581)),a110)))
% 164.74/165.07 [4402]E(f334(f334(f89(a919),x44021),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f334(a125,f334(a125,x44021)))
% 164.74/165.07 [4403]E(f334(f334(f90(a919),x44031),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f334(f334(f89(a919),x44031),x44031))
% 164.74/165.07 [4404]E(f334(f334(f45(a919),f334(f334(f89(a919),x44041),x44041)),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x44041)
% 164.74/165.07 [4483]E(f54(a919,f334(a125,f334(a125,x44831)),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f54(a919,x44831,f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))
% 164.74/165.07 [4626]E(f334(a98,f334(f334(f48(f925(a919,a919),f926(f925(a919,a919),a913)),f334(a120,x46261)),f334(f270(a919,a919,f926(f925(a919,a919),a913)),f334(f334(f8(f926(a919,f926(f925(a919,a919),a913)),f926(a919,f926(f925(a919,a919),a913)),a919),f334(f8(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913),a919),f293(f925(a919,a919),f925(a919,a919),a121))),f334(f334(f7(a919,f926(f925(a919,a919),a913),f926(a919,f926(f925(a919,a919),a913))),f334(f334(f8(f926(a919,f926(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),f926(f926(f925(a919,a919),a913),f926(a919,f926(f925(a919,a919),a913))),a919),f7(a919,f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),f334(f334(f8(f926(a919,f925(a919,a919)),f926(a919,f926(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),a919),f334(f8(f925(a919,a919),f926(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),a919),f316(f925(a919,a919)))),f334(f7(a919,a919,f925(a919,a919)),f266(a919,a919))))),f198(f926(f925(a919,a919),a913))))))),f334(f88(a1),x46261))
% 164.74/165.07 [4478]E(f334(f334(f89(a919),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x44781),f334(a125,f334(a125,x44781)))
% 164.74/165.07 [4479]E(f334(f334(f90(a919),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x44791),f334(f334(f89(a919),x44791),x44791))
% 164.74/165.07 [4515]E(f334(f334(f45(a919),f334(a125,f334(a125,x45151))),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f334(a125,f334(f334(f45(a919),x45151),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))))
% 164.74/165.07 [4565]E(f334(f334(f89(a919),f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),a110))),x45651),f334(a125,f334(a125,f334(a125,x45651))))
% 164.74/165.07 [4639]E(f334(f270(a1,a1,f925(a1,a1)),f334(f334(f18(a1,f926(a1,f925(a1,a1)),f926(a1,f925(a1,a1))),f334(f334(f8(f926(a1,f926(f925(a1,a1),f925(a1,a1))),f926(f926(a1,f925(a1,a1)),f926(a1,f925(a1,a1))),a1),f18(a1,f925(a1,a1),f925(a1,a1))),f334(f334(f8(f926(a1,f925(a1,a1)),f926(a1,f926(f925(a1,a1),f925(a1,a1))),a1),f334(f18(a1,f925(a1,a1),f926(f925(a1,a1),f925(a1,a1))),f334(f334(f8(a913,f926(f925(a1,a1),f926(f925(a1,a1),f925(a1,a1))),a1),f109(f925(a1,a1))),f334(f334(f8(a1,a913,a1),f334(f248(a1),f2(a1))),f334(f334(f7(a1,a1,a1),f23(a1)),x46391))))),f334(f334(f7(a1,f926(a1,a1),f926(a1,f925(a1,a1))),f334(f334(f8(f926(a1,f925(a1,a1)),f926(f926(a1,a1),f926(a1,f925(a1,a1))),a1),f8(a1,f925(a1,a1),a1)),f334(f334(f8(a1,f926(a1,f925(a1,a1)),a1),f266(a1,a1)),f334(f334(f7(a1,a1,a1),f334(f334(f8(a1,f926(a1,a1),a1),f89(a1)),f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))),f87(a1))))),f334(f334(f7(a1,a1,a1),f23(a1)),x46391))))),f334(f334(f8(a1,f926(a1,f925(a1,a1)),a1),f266(a1,a1)),f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))))),f52(x46391))
% 164.74/165.07 [3332]P106(f925(x33321,x33322))
% 164.74/165.07 [3333]P106(f927(x33331,x33332))
% 164.74/165.07 [3334]P106(f924(x33341,x33342))
% 164.74/165.07 [3351]P12(a1,f188(x33511,x33512))
% 164.74/165.07 [3352]P38(x33521,f163(x33521,x33522))
% 164.74/165.07 [3353]P39(x33531,f255(x33531,x33532))
% 164.74/165.07 [3354]P39(x33541,f314(x33541,x33542))
% 164.74/165.07 [3418]P32(x34181,x34182,f126(x34181))
% 164.74/165.07 [3453]P41(x34531,x34532,f255(x34531,x34532))
% 164.74/165.07 [3454]P54(x34541,x34541,f255(x34541,x34542))
% 164.74/165.07 [3717]P23(x37171,x37171,f5(x37171),x37172)
% 164.74/165.07 [3718]P23(x37181,x37181,f25(x37181),x37182)
% 164.74/165.07 [3725]P33(x37251,x37252,f126(x37251),f126(x37251))
% 164.74/165.07 [3734]P23(f920(x37341),f920(x37341),f178(x37341),x37342)
% 164.74/165.07 [4142]P24(x41421,x41421,f25(x41421),x41422,x41422)
% 164.74/165.07 [4646]~E(f37(x46461),f36(x46462))
% 164.74/165.07 [4652]~E(f28(x46521,x46522),a26)
% 164.74/165.07 [4653]~E(f34(x46531,x46532),a26)
% 164.74/165.07 [4654]~E(f33(x46541,x46542),a26)
% 164.74/165.07 [4683]~P34(x46831,x46832,f126(x46831))
% 164.74/165.07 [4684]~P36(x46841,x46842,f126(x46841))
% 164.74/165.07 [3314]E(f334(f254(x33141),x33142),x33142)
% 164.74/165.07 [3315]E(f334(f5(x33151),x33152),x33152)
% 164.74/165.07 [3317]E(f334(f25(x33171),x33172),x33172)
% 164.74/165.07 [3327]E(f334(f201(x33271),x33272),f128(x33271))
% 164.74/165.07 [3339]E(f32(f28(x33391,x33392)),f2(a919))
% 164.74/165.07 [3349]E(f94(x33491,f334(a331,x33492)),x33492)
% 164.74/165.07 [3350]E(f99(x33501,f334(a331,x33502)),x33502)
% 164.74/165.07 [3370]E(f334(f199(a915),f28(x33701,x33702)),f2(a919))
% 164.74/165.07 [3371]E(f334(f137(x33711,x33712),f132(x33711)),f2(a919))
% 164.74/165.07 [3374]E(f334(f146(x33741,x33742),f126(x33741)),f126(x33741))
% 164.74/165.07 [3394]E(f314(x33941,f314(x33941,x33942)),f314(x33941,x33942))
% 164.74/165.07 [3395]E(f162(x33951,f162(x33951,x33952)),f162(x33951,x33952))
% 164.74/165.07 [3413]E(f334(f334(f144(x34131),x34132),f126(x34131)),x34132)
% 164.74/165.07 [3419]E(f183(x34191,x34192,f126(x34191)),x34192)
% 164.74/165.07 [3420]E(f183(x34201,f126(x34201),x34202),x34202)
% 164.74/165.07 [3421]E(f129(x34211,f132(x34211),x34212),x34212)
% 164.74/165.07 [3422]E(f179(x34221,f2(a919),x34222),f126(x34221))
% 164.74/165.07 [3428]E(f334(f334(f185(x34281),x34282),f126(x34281)),f126(x34281))
% 164.74/165.07 [3429]E(f334(f334(f148(x34291),x34292),f126(x34291)),f126(x34291))
% 164.74/165.07 [3431]E(f165(x34311,x34312,f126(x34311)),f2(a919))
% 164.74/165.07 [3433]E(f180(x34331,x34332,f126(x34331)),f126(x34331))
% 164.74/165.07 [3434]E(f187(x34341,x34342,f126(x34341)),f126(x34341))
% 164.74/165.07 [3435]E(f186(x34351,f126(x34351),x34352),f126(x34351))
% 164.74/165.07 [3439]E(f334(f182(x34391),f162(x34391,x34392)),f334(f182(x34391),x34392))
% 164.74/165.07 [3442]E(f334(f292(x34421,x34421),f255(x34421,x34422)),x34422)
% 164.74/165.07 [3443]E(f334(f264(x34431,x34431),f255(x34431,x34432)),x34432)
% 164.74/165.07 [3451]P107(f334(a27,f28(x34511,x34512)))
% 164.74/165.07 [3452]E(f334(f294(x34521,x34521),f255(x34521,x34522)),f255(x34521,x34522))
% 164.74/165.07 [3465]E(f314(f920(x34651),f167(x34651,x34652)),f168(x34651,f314(x34651,x34652)))
% 164.74/165.07 [3467]P107(f334(f147(a1),f188(x34671,x34672)))
% 164.74/165.07 [3475]E(f334(f292(x34751,x34751),f314(x34751,x34752)),f256(f926(x34751,a913)))
% 164.74/165.07 [3476]E(f334(f264(x34761,x34761),f314(x34761,x34762)),f256(f926(x34761,a913)))
% 164.74/165.07 [3480]P107(f334(f147(x34801),f162(x34801,x34802)))
% 164.74/165.07 [3482]P107(f334(f170(x34821,x34822),f126(x34821)))
% 164.74/165.07 [3489]E(f334(f182(a1),f188(x34891,x34892)),f310(a1,x34891,x34892))
% 164.74/165.07 [3503]P55(x35031,f198(f926(x35031,a913)),x35032)
% 164.74/165.07 [3508]E(f334(f269(a1,a1),f55(x35081,x35082)),f54(a1,x35081,x35082))
% 164.74/165.07 [3509]E(f334(f309(a919,x35091),f334(a125,x35092)),f310(a919,x35091,x35092))
% 164.74/165.07 [3525]E(f334(f334(f161(x35251),x35252),f126(x35251)),f150(x35251,x35252,f126(x35251)))
% 164.74/165.07 [3537]E(f310(a919,f334(a125,x35371),x35372),f312(a919,x35371,x35372))
% 164.74/165.07 [3540]P41(x35401,f256(f926(x35401,a913)),f314(x35401,x35402))
% 164.74/165.07 [3602]E(f334(f334(f23(a919),x36021),f334(a125,x36022)),f334(f44(a919),f313(a919,x36022,x36021)))
% 164.74/165.07 [3655]E(f176(x36551,x36552,f126(x36551)),f334(f334(f266(f920(x36551),f920(x36551)),f126(x36551)),f126(x36551)))
% 164.74/165.07 [3673]E(f334(f270(x36731,x36732,f925(x36731,x36732)),f266(x36731,x36732)),f25(f925(x36731,x36732)))
% 164.74/165.07 [3677]P107(f334(f334(f336(f920(x36771)),f126(x36771)),f171(x36771,x36772)))
% 164.74/165.07 [3678]E(f334(f199(f920(x36781)),f127(x36781,x36782)),f334(f334(f23(a919),f334(f199(f920(x36781)),x36782)),f87(a919)))
% 164.74/165.07 [3686]P107(f334(f70(a919),f313(a919,x36861,x36862)))
% 164.74/165.07 [3687]P107(f334(f70(a919),f312(a919,x36871,x36872)))
% 164.74/165.07 [3688]P107(f334(f70(a919),f310(a919,x36881,x36882)))
% 164.74/165.07 [3689]P107(f334(f70(a1),f313(a1,x36891,x36892)))
% 164.74/165.07 [3690]P107(f334(f70(a1),f312(a1,x36901,x36902)))
% 164.74/165.07 [3691]P107(f334(f70(a1),f310(a1,x36911,x36912)))
% 164.74/165.07 [3800]E(f334(f317(a919,a919,a125),f310(a919,x38001,x38002)),f310(a919,f334(a125,x38001),f334(a125,x38002)))
% 164.74/165.07 [3821]E(f334(f334(f296(x38211,x38211,x38211),f314(x38211,x38212)),f314(x38211,x38212)),f314(x38211,x38212))
% 164.74/165.07 [3854]E(f334(f334(f266(a1,a1),f334(f334(f45(a1),x38541),x38542)),f54(a1,x38541,x38542)),f55(x38541,x38542))
% 164.74/165.07 [3855]E(f334(f334(f266(a112,a112),f334(f334(f45(a112),x38551),x38552)),f54(a112,x38551,x38552)),f21(x38551,x38552))
% 164.74/165.07 [3882]E(f334(f334(f266(a919,a919),f334(f334(f45(a919),x38821),x38822)),f54(a919,x38821,x38822)),f94(f925(a919,a919),f57(x38821,x38822)))
% 164.74/165.07 [3933]P107(f334(f334(f249(a919),f334(f334(f23(a919),x39331),x39332)),f334(a125,x39331)))
% 164.74/165.07 [3983]P39(x39831,f334(f334(f296(x39831,x39831,x39831),x39832),f314(x39831,x39832)))
% 164.74/165.07 [4033]E(f334(f334(f89(a1),f334(f334(f90(a1),x40331),f334(f334(f45(a1),x40332),x40331))),f54(a1,x40332,x40331)),x40332)
% 164.74/165.07 [4037]E(f334(f334(f48(a919,f926(f925(f920(x40371),f920(x40371)),a913)),f256(f926(a919,a913))),f153(x40371,x40372)),f155(x40371,x40372))
% 164.74/165.07 [4260]P107(f334(f334(f336(f925(f920(x42601),f920(x42601))),f334(f334(f266(f920(x42601),f920(x42601)),f126(x42601)),f126(x42601))),f168(x42601,x42602)))
% 164.74/165.07 [4371]E(f267(x43711,x43711,x43711,a331,f267(x43711,x43711,x43711,x43712,a331)),x43712)
% 164.74/165.07 [4414]E(f271(x44141,x44141,x44142,x44142,f5(x44141),f5(x44142)),f25(f925(x44141,x44142)))
% 164.74/165.07 [4416]E(f271(x44161,x44161,x44162,x44162,f25(x44161),f25(x44162)),f25(f925(x44161,x44162)))
% 164.74/165.07 [3412]E(f334(f178(x34121),f334(f178(x34121),x34122)),x34122)
% 164.74/165.07 [3414]E(f334(f334(f148(x34141),f2(a919)),x34142),x34142)
% 164.74/165.07 [3430]E(f334(f334(f185(x34301),f2(a919)),x34302),f126(x34301))
% 164.74/165.07 [3437]E(f334(f334(f144(x34371),f126(x34371)),x34372),x34372)
% 164.74/165.07 [3446]E(f46(f926(x34461,a913),f334(f315(x34461),x34462)),x34462)
% 164.74/165.07 [3448]E(f334(f182(x34481),f334(f177(x34481),x34482)),f334(f182(x34481),x34482))
% 164.74/165.07 [3449]E(f334(f182(x34491),f334(f178(x34491),x34492)),f334(f182(x34491),x34492))
% 164.74/165.07 [3456]E(f334(f334(f23(a112),x34561),x34562),f334(f334(a24,x34561),x34562))
% 164.74/165.07 [3469]E(f334(f334(f90(a919),x34691),x34692),f334(f334(f90(a919),x34692),x34691))
% 164.74/165.07 [3470]E(f334(f334(f90(a1),x34701),x34702),f334(f334(f90(a1),x34702),x34701))
% 164.74/165.07 [3471]E(f334(f334(f89(a919),x34711),x34712),f334(f334(f89(a919),x34712),x34711))
% 164.74/165.07 [3472]E(f334(f334(f89(a1),x34721),x34722),f334(f334(f89(a1),x34722),x34721))
% 164.74/165.07 [3495]E(f334(f334(f193(x34951,x34951),f2(a919)),x34952),f25(x34951))
% 164.74/165.07 [3496]E(f334(f199(f920(x34961)),f334(f177(x34961),x34962)),f334(f199(f920(x34961)),x34962))
% 164.74/165.07 [3497]E(f334(f199(f920(x34971)),f334(f178(x34971),x34972)),f334(f199(f920(x34971)),x34972))
% 164.74/165.07 [3498]E(f186(x34981,x34982,f198(f926(a919,a913))),f126(x34981))
% 164.74/165.07 [3499]E(f334(f334(f164(x34991,x34991),f5(x34991)),x34992),x34992)
% 164.74/165.07 [3501]E(f334(f265(a1,a1),f55(x35011,x35012)),f334(f334(f45(a1),x35011),x35012))
% 164.74/165.07 [3518]E(f334(f199(f920(x35181)),f162(x35181,x35182)),f334(f44(x35181),f334(f182(x35181),x35182)))
% 164.74/165.07 [3519]E(f32(f33(x35191,x35192)),f334(f334(f89(a919),f32(x35192)),f334(a125,f2(a919))))
% 164.74/165.07 [3520]E(f334(f289(x35201),f334(f294(x35201,x35201),x35202)),f334(f289(x35201),x35202))
% 164.74/165.07 [3524]P107(f334(f70(x35241),f334(f182(x35241),x35242)))
% 164.74/165.07 [3532]E(f334(f334(f89(a1),x35321),f334(f88(a1),x35322)),f334(f334(f23(a1),x35321),x35322))
% 164.74/165.07 [3539]P22(x35391,x35392,f198(f926(f918(x35391),a913)))
% 164.74/165.07 [3541]E(f334(f317(x35411,x35411,f5(x35411)),x35412),x35412)
% 164.74/165.07 [3542]E(f334(f317(x35421,x35421,f25(x35421)),x35422),x35422)
% 164.74/165.07 [3543]E(f334(f318(x35431,x35431,f5(x35431)),x35432),x35432)
% 164.74/165.07 [3544]E(f334(f318(x35441,x35441,f25(x35441)),x35442),x35442)
% 164.74/165.07 [3545]P107(f334(f256(f926(x35451,a913)),x35452))
% 164.74/165.07 [3547]E(f334(f44(a919),f334(f309(a919,x35471),x35472)),f334(f334(f23(a919),x35472),x35471))
% 164.74/165.07 [3548]E(f334(f309(a919,f334(a125,x35481)),x35482),f313(a919,x35481,x35482))
% 164.74/165.07 [3561]E(f334(f334(f316(x35611),x35612),f198(f926(x35611,a913))),f334(f254(x35611),f334(a331,x35612)))
% 164.74/165.07 [3566]E(f314(x35661,f334(f294(x35661,x35661),x35662)),f334(f294(x35661,x35661),f314(x35661,x35662)))
% 164.74/165.07 [3571]E(f334(f334(f89(a919),f334(a125,x35711)),x35712),f334(f334(f89(a919),x35711),f334(a125,x35712)))
% 164.74/165.07 [3572]E(f334(f334(f23(a919),f334(a125,x35721)),f334(a125,x35722)),f334(f334(f23(a919),x35721),x35722))
% 164.74/165.07 [3578]E(f64(x35781,f2(a919),x35782),f334(f334(f161(f920(x35781)),f126(x35781)),f126(f920(x35781))))
% 164.74/165.07 [3579]E(f334(f44(a919),f312(a919,x35791,x35792)),f334(f334(f23(a919),x35792),x35791))
% 164.74/165.07 [3587]P38(x35871,f334(f334(f295(a919,x35871),a253),x35872))
% 164.74/165.07 [3589]P12(a919,f149(a919,f334(f309(a919,x35891),x35892)))
% 164.74/165.07 [3591]P107(f334(f70(a919),f334(f309(a919,x35911),x35912)))
% 164.74/165.07 [3592]P107(f334(f70(a1),f334(f309(a1,x35921),x35922)))
% 164.74/165.07 [3595]E(f334(f294(f920(x35951),f920(x35951)),f167(x35951,x35952)),f167(x35951,f334(f294(x35951,x35951),x35952)))
% 164.74/165.07 [3596]E(f334(f199(a915),f33(x35961,x35962)),f334(f334(f89(a919),f334(f199(a915),x35962)),f334(a125,f2(a919))))
% 164.74/165.07 [3598]E(f334(f309(a1,x35981),f334(f334(f89(a1),x35982),f87(a1))),f310(a1,x35981,x35982))
% 164.74/165.07 [3601]E(f334(f334(f45(a1),f334(f88(a1),x36011)),f334(f88(a1),x36012)),f334(f334(f45(a1),x36011),x36012))
% 164.74/165.07 [3609]E(f334(f334(f193(f925(x36091,x36091),a913),f87(a919)),x36092),x36092)
% 164.74/165.07 [3611]E(f334(f334(f23(f926(x36111,a913)),x36112),f198(f926(x36111,a913))),x36112)
% 164.74/165.07 [3612]E(f334(f334(f123(f926(x36121,a913)),x36122),f198(f926(x36121,a913))),x36122)
% 164.74/165.07 [3613]E(f334(f334(f114(f926(x36131,a913)),x36132),f256(f926(x36131,a913))),x36132)
% 164.74/165.07 [3614]E(f334(f265(a919,a919),f94(f925(a919,a919),f57(x36141,x36142))),f334(f334(f45(a919),x36141),x36142))
% 164.74/165.07 [3621]E(f310(a1,f334(f334(f89(a1),x36211),f87(a1)),x36212),f312(a1,x36211,x36212))
% 164.74/165.07 [3626]E(f334(f269(a919,a919),f94(f925(a919,a919),f57(x36261,x36262))),f54(a919,x36261,x36262))
% 164.74/165.07 [3636]P107(f334(f334(f336(x36361),x36362),f256(f926(x36361,a913))))
% 164.74/165.07 [3639]E(f334(f334(f23(a919),f334(a125,x36391)),x36392),f334(f44(a919),f310(a919,x36392,x36391)))
% 164.74/165.07 [3664]E(f334(f334(f23(f926(x36641,a913)),x36642),f256(f926(x36641,a913))),f198(f926(x36641,a913)))
% 164.74/165.07 [3665]E(f334(f334(f123(f926(x36651,a913)),x36652),f256(f926(x36651,a913))),f256(f926(x36651,a913)))
% 164.74/165.07 [3666]E(f334(f334(f114(f926(x36661,a913)),x36662),f198(f926(x36661,a913))),f198(f926(x36661,a913)))
% 164.74/165.07 [3681]E(f54(a1,f334(f88(a1),x36811),f334(f88(a1),x36812)),f334(f88(a1),f54(a1,x36811,x36812)))
% 164.74/165.07 [3682]E(f54(a1,f334(f113(a1),x36821),f334(f113(a1),x36822)),f334(f113(a1),f54(a919,x36821,x36822)))
% 164.74/165.07 [3693]E(f334(f199(f920(x36931)),f334(f181(x36931),x36932)),f334(f334(f23(a919),f334(f199(f920(x36931)),x36932)),f87(a919)))
% 164.74/165.07 [3719]E(f334(f334(f45(a1),f54(a1,x37191,x37192)),x37192),f2(a1))
% 164.74/165.07 [3727]E(f334(a3,f54(a919,f334(a20,x37271),f334(a20,x37272))),f54(a112,x37271,x37272))
% 164.74/165.07 [3766]E(f334(a3,f334(f334(f23(a919),f334(a20,x37661)),f334(a20,x37662))),f334(f334(f23(a112),x37661),x37662))
% 164.74/165.07 [3767]E(f334(a3,f334(f334(f90(a919),f334(a20,x37671)),f334(a20,x37672))),f334(f334(f90(a112),x37671),x37672))
% 164.74/165.08 [3768]E(f334(a3,f334(f334(f89(a919),f334(a20,x37681)),f334(a20,x37682))),f334(f334(f89(a112),x37681),x37682))
% 164.74/165.08 [3769]E(f334(a3,f334(f334(f45(a919),f334(a20,x37691)),f334(a20,x37692))),f334(f334(f45(a112),x37691),x37692))
% 164.74/165.08 [3778]E(f334(f317(a919,a919,a125),f334(f309(a919,x37781),x37782)),f334(f309(a919,f334(a125,x37781)),f334(a125,x37782)))
% 164.74/165.08 [3805]P107(f334(f57(x38051,x38052),f94(f925(a919,a919),f57(x38051,x38052))))
% 164.74/165.08 [3828]E(f334(f334(f89(a919),f334(f334(f89(a919),f32(x38281)),f32(x38282))),f334(a125,f2(a919))),f32(f34(x38281,x38282)))
% 164.74/165.08 [3829]E(f54(a919,f334(a125,f54(a919,x38291,x38292)),x38292),f54(a919,f334(a125,x38291),x38292))
% 164.74/165.08 [3841]E(f334(f334(f49(f926(x38411,a913),f926(x38411,a913)),x38412),f5(f926(x38411,a913))),f47(f926(x38411,a913),x38412))
% 164.74/165.08 [3842]E(f334(f334(f48(f926(x38421,a913),f926(x38421,a913)),x38422),f5(f926(x38421,a913))),f46(f926(x38421,a913),x38422))
% 164.74/165.08 [3843]E(f334(f317(f920(x38431),f926(x38431,a913),f182(x38431)),f334(f182(f920(x38431)),f63(x38431,x38432))),f334(f315(x38431),f334(f182(x38431),x38432)))
% 164.74/165.08 [3847]P107(f334(f334(f336(f926(x38471,a913)),x38472),f334(f315(x38471),x38472)))
% 164.74/165.08 [3853]E(f54(a1,f334(f88(a1),f54(a1,x38531,x38532)),x38532),f54(a1,f334(f88(a1),x38531),x38532))
% 164.74/165.08 [3864]P107(f334(f334(f248(f926(x38641,a913)),x38642),f256(f926(x38641,a913))))
% 164.74/165.08 [3866]E(f334(f334(f296(x38661,x38661,x38661),f314(x38661,x38662)),f314(x38661,f314(x38661,x38662))),f314(x38661,x38662))
% 164.74/165.08 [3867]E(f334(f334(f123(f926(x38671,a913)),f334(f264(x38671,x38671),x38672)),f334(f292(x38671,x38671),x38672)),f334(f289(x38671),x38672))
% 164.74/165.08 [3888]E(f320(x38881,x38882,f256(f926(x38881,a913)),f256(f926(x38882,a913))),f256(f926(f927(x38881,x38882),a913)))
% 164.74/165.08 [3938]P107(f334(f334(f248(a919),f54(a919,x39381,x39382)),x39381))
% 164.74/165.08 [3962]P107(f334(f334(f248(a1),f334(f88(a1),f334(f113(a1),x39621))),f334(f113(a1),x39622)))
% 164.74/165.08 [3988]P107(f334(f334(f336(f926(x39881,a913)),f198(f926(x39881,a913))),f334(f315(x39881),x39882)))
% 164.74/165.08 [3993]E(f314(x39931,f334(f334(f296(x39931,x39931,x39931),x39932),f314(x39931,x39932))),f314(x39931,x39932))
% 164.74/165.08 [3996]E(f334(f334(f296(x39961,x39961,x39961),f314(x39961,x39962)),x39962),f334(f334(f296(x39961,x39961,x39961),x39962),f314(x39961,x39962)))
% 164.74/165.08 [3998]E(f334(a117,f334(f334(f89(a1),f334(f334(f23(a1),x39981),x39982)),f87(a1))),f334(f44(a1),f310(a1,x39982,x39981)))
% 164.74/165.08 [4012]E(f334(f292(x40121,x40121),f334(f334(f296(x40121,x40121,x40121),x40122),f314(x40121,x40122))),f334(f292(x40121,x40121),x40122))
% 164.74/165.08 [4013]E(f334(f264(x40131,x40131),f334(f334(f296(x40131,x40131,x40131),x40132),f314(x40131,x40132))),f334(f264(x40131,x40131),x40132))
% 164.74/165.08 [4029]E(f334(f334(f89(a919),f334(f334(f89(a919),f334(f199(a915),x40291)),f334(f199(a915),x40292))),f334(a125,f2(a919))),f334(f199(a915),f34(x40291,x40292)))
% 164.74/165.08 [4032]E(f334(f152(f920(x40321),f920(x40321),f144(x40321),f126(x40321)),f179(f920(x40321),x40322,f126(x40321))),f126(x40321))
% 164.74/165.08 [4041]P23(a919,a919,f334(f334(f7(a919,a919,a919),f89(a919)),x40411),x40412)
% 164.74/165.08 [4043]P12(a919,f334(f178(a919),f334(f334(f164(f920(x40431),a919),f199(f920(x40431))),f189(x40431,x40432))))
% 164.74/165.08 [4086]P107(f334(f334(f249(a1),f334(f88(a1),f334(f113(a1),f334(a125,x40861)))),f334(f113(a1),x40862)))
% 164.74/165.08 [4131]E(f334(f152(f920(x41311),x41311,f334(f7(x41311,f920(x41311),f920(x41311)),f161(x41311)),f126(x41311)),x41312),f334(f178(x41311),x41312))
% 164.74/165.08 [4181]P107(f334(f334(f248(f926(f925(f920(x41811),f920(x41811)),a913)),f168(x41811,x41812)),f314(f920(x41811),f167(x41811,x41812))))
% 164.74/165.08 [4210]P107(f334(f57(x42101,x42102),f334(f334(f266(a919,a919),f334(f334(f45(a919),x42101),x42102)),f54(a919,x42101,x42102))))
% 164.74/165.08 [4222]P107(f334(f334(f248(f926(f925(f920(x42221),f920(x42221)),a913)),f167(x42221,f314(x42221,x42222))),f314(f920(x42221),f167(x42221,x42222))))
% 164.74/165.08 [4439]E(f334(f334(f272(f925(a112,a112),a112,f925(a112,a112),f925(x44391,f925(a112,a112))),f277(f334(f175(a112),f334(f334(f164(f925(a112,x44391),a112),f265(a112,x44391)),x44392)))),f334(f334(f8(x44391,f926(f925(a112,a112),f925(x44391,f925(a112,a112))),a112),f266(x44391,f925(a112,a112))),f278(x44391,x44392))),f276(x44391,x44392))
% 164.74/165.08 [4517]E(f237(a919,f925(x45171,f921(x45171)),f2(a919),f334(f270(x45171,f921(x45171),a919),f334(f16(f926(f921(x45171),a919),x45171),f334(f334(f7(f921(x45171),a919,a919),f334(f334(f8(a919,f926(a919,a919),f921(x45171)),f89(a919)),f199(f921(x45171)))),f87(a919)))),f334(f145(x45171),x45172)),f334(f199(f921(x45171)),x45172))
% 164.74/165.08 [4625]E(f334(f270(f926(f925(x46251,x46251),a913),f926(f925(x46251,x46251),a913),f926(f926(x46252,x46251),f925(f926(f925(x46252,x46252),a913),f926(f925(x46252,x46252),a913)))),f334(f334(f7(f926(f925(x46251,x46251),a913),f926(f926(f925(x46251,x46251),a913),f926(f926(x46252,x46251),f926(f925(x46252,x46252),a913))),f926(f926(f925(x46251,x46251),a913),f926(f926(x46252,x46251),f925(f926(f925(x46252,x46252),a913),f926(f925(x46252,x46252),a913))))),f334(f334(f8(f926(f926(f926(x46252,x46251),f926(f925(x46252,x46252),a913)),f926(f926(x46252,x46251),f925(f926(f925(x46252,x46252),a913),f926(f925(x46252,x46252),a913)))),f926(f926(f926(f925(x46251,x46251),a913),f926(f926(x46252,x46251),f926(f925(x46252,x46252),a913))),f926(f926(f925(x46251,x46251),a913),f926(f926(x46252,x46251),f925(f926(f925(x46252,x46252),a913),f926(f925(x46252,x46252),a913))))),f926(f925(x46251,x46251),a913)),f8(f926(f926(x46252,x46251),f926(f925(x46252,x46252),a913)),f926(f926(x46252,x46251),f925(f926(f925(x46252,x46252),a913),f926(f925(x46252,x46252),a913))),f926(f925(x46251,x46251),a913))),f334(f334(f8(f926(f926(x46252,x46251),f926(f926(f925(x46252,x46252),a913),f925(f926(f925(x46252,x46252),a913),f926(f925(x46252,x46252),a913)))),f926(f926(f926(x46252,x46251),f926(f925(x46252,x46252),a913)),f926(f926(x46252,x46251),f925(f926(f925(x46252,x46252),a913),f926(f925(x46252,x46252),a913)))),f926(f925(x46251,x46251),a913)),f18(f926(x46252,x46251),f926(f925(x46252,x46252),a913),f925(f926(f925(x46252,x46252),a913),f926(f925(x46252,x46252),a913)))),f334(f334(f8(f926(f926(x46252,x46251),f926(f925(x46252,x46252),a913)),f926(f926(x46252,x46251),f926(f926(f925(x46252,x46252),a913),f925(f926(f925(x46252,x46252),a913),f926(f925(x46252,x46252),a913)))),f926(f925(x46251,x46251),a913)),f334(f8(f926(f925(x46252,x46252),a913),f926(f926(f925(x46252,x46252),a913),f925(f926(f925(x46252,x46252),a913),f926(f925(x46252,x46252),a913))),f926(x46252,x46251)),f266(f926(f925(x46252,x46252),a913),f926(f925(x46252,x46252),a913)))),f295(x46251,x46252))))),f295(x46251,x46252))),f82(x46251,x46252))
% 164.74/165.08 [4707]~E(f334(f315(x47071),x47072),f198(f926(f926(x47071,a913),a913)))
% 164.74/165.08 [4718]~P107(f334(f334(f182(x47181),f126(x47181)),x47182))
% 164.74/165.08 [4722]~P107(f334(f334(f336(x47221),x47222),f198(f926(x47221,a913))))
% 164.74/165.08 [4730]~P107(f334(f334(f249(f926(x47301,a913)),x47302),f198(f926(x47301,a913))))
% 164.74/165.08 [3550]E(f334(f334(f23(a919),x35501),f334(f334(f89(a919),x35501),x35502)),f2(a919))
% 164.74/165.08 [3553]E(f334(f334(f123(f926(x35531,a913)),x35532),x35532),x35532)
% 164.74/165.08 [3554]E(f334(f334(f114(f926(x35541,a913)),x35542),x35542),x35542)
% 164.74/165.08 [3581]E(f334(f334(f23(f926(x35811,a913)),x35812),x35812),f198(f926(x35811,a913)))
% 164.74/165.08 [3584]E(f334(f153(x35841,x35842),f2(a919)),f198(f926(f925(f920(x35841),f920(x35841)),a913)))
% 164.74/165.08 [3585]E(f334(f334(f89(a919),x35851),f334(a125,x35852)),f334(a125,f334(f334(f89(a919),x35851),x35852)))
% 164.74/165.08 [3597]E(f205(f334(f113(a1),x35971),f334(f113(a1),x35972)),f334(f113(a1),f334(f334(f23(a919),x35971),x35972)))
% 164.74/165.08 [3600]E(f334(f334(f45(a1),f334(f88(a1),x36001)),x36002),f334(f334(f45(a1),x36001),f334(f88(a1),x36002)))
% 164.74/165.08 [3604]E(f334(f44(a1),f334(f309(a1,x36041),x36042)),f334(a117,f334(f334(f23(a1),x36042),x36041)))
% 164.74/165.08 [3607]E(f334(f334(f89(a919),f334(a125,x36071)),x36072),f334(a125,f334(f334(f89(a919),x36071),x36072)))
% 164.74/165.08 [3610]E(f334(f88(f926(x36101,a913)),f334(f88(f926(x36101,a913)),x36102)),x36102)
% 164.74/165.08 [3623]E(f189(x36231,f334(f334(f161(f920(x36231)),f126(x36231)),x36232)),f189(x36231,x36232))
% 164.74/165.08 [3627]E(f334(f334(f89(a919),x36271),f334(f334(f90(a919),x36271),x36272)),f334(f334(f90(a919),x36271),f334(a125,x36272)))
% 164.74/165.08 [3634]E(f334(f334(a24,f334(a3,x36341)),f334(a3,x36342)),f334(a3,f334(f334(f23(a919),x36341),x36342)))
% 164.74/165.08 [3646]E(f334(f334(f90(a1),f334(f88(a1),x36461)),x36462),f334(f88(a1),f334(f334(f90(a1),x36461),x36462)))
% 164.74/165.08 [3648]E(f334(f334(f258(a1),f334(f113(a1),x36481)),x36482),f334(f113(a1),f334(f334(f258(a919),x36481),x36482)))
% 164.74/165.08 [3649]E(f334(f334(f90(a112),f334(a3,x36491)),f334(a3,x36492)),f334(a3,f334(f334(f90(a919),x36491),x36492)))
% 164.74/165.08 [3650]E(f334(f334(f89(a112),f334(a3,x36501)),f334(a3,x36502)),f334(a3,f334(f334(f89(a919),x36501),x36502)))
% 164.74/165.08 [3651]E(f334(f334(f246(a919),f334(a125,x36511)),f334(a125,x36512)),f334(a125,f334(f334(f246(a919),x36511),x36512)))
% 164.74/165.08 [3652]E(f334(f334(f247(a919),f334(a125,x36521)),f334(a125,x36522)),f334(a125,f334(f334(f247(a919),x36521),x36522)))
% 164.74/165.08 [3657]E(f334(f182(a919),f149(a919,f334(f309(a919,x36571),x36572))),f334(f309(a919,x36571),x36572))
% 164.74/165.08 [3658]E(f319(x36581,f334(f334(f316(x36581),x36582),f198(f926(x36581,a913)))),x36582)
% 164.74/165.08 [3662]E(f334(f292(x36621,x36622),f198(f926(f925(x36621,x36622),a913))),f198(f926(x36622,a913)))
% 164.74/165.08 [3663]E(f334(f264(x36631,x36632),f198(f926(f925(x36631,x36632),a913))),f198(f926(x36631,a913)))
% 164.74/165.08 [3667]E(f334(a117,f334(f334(f23(a1),x36671),x36672)),f334(f44(a1),f312(a1,x36672,x36671)))
% 164.74/165.08 [3672]E(f334(f334(f89(a919),x36721),f334(f334(f90(a919),x36722),x36721)),f334(f334(f90(a919),f334(a125,x36722)),x36721))
% 164.74/165.08 [3674]E(f334(f334(f69(x36741),f198(f926(x36741,a913))),x36742),f198(f926(f926(x36741,a913),a913)))
% 164.74/165.08 [3683]E(f334(f199(f920(a919)),f149(a919,f334(f309(a919,x36831),x36832))),f334(f334(f23(a919),x36832),x36831))
% 164.74/165.08 [3698]E(f334(f334(f123(f926(x36981,a913)),f198(f926(x36981,a913))),x36982),x36982)
% 164.74/165.08 [3699]E(f334(f334(f114(f926(x36991,a913)),f256(f926(x36991,a913))),x36992),x36992)
% 164.74/165.08 [3700]E(f334(f334(f89(a1),f334(f88(a1),x37001)),f334(f88(a1),x37002)),f334(f88(a1),f334(f334(f89(a1),x37001),x37002)))
% 164.74/165.08 [3705]E(f334(f334(f90(a1),f334(f113(a1),x37051)),f334(f113(a1),x37052)),f334(f113(a1),f334(f334(f90(a919),x37051),x37052)))
% 164.74/165.08 [3706]E(f334(f334(f90(a1),f334(f116(a1),x37061)),f334(f116(a1),x37062)),f334(f116(a1),f334(f334(f90(a1),x37061),x37062)))
% 164.74/165.08 [3708]E(f334(f334(f89(a1),f334(f113(a1),x37081)),f334(f113(a1),x37082)),f334(f113(a1),f334(f334(f89(a919),x37081),x37082)))
% 164.74/165.08 [3709]E(f334(f334(f89(a1),f334(f116(a1),x37091)),f334(f116(a1),x37092)),f334(f116(a1),f334(f334(f89(a1),x37091),x37092)))
% 164.74/165.08 [3710]E(f334(f334(f45(a1),f334(f113(a1),x37101)),f334(f113(a1),x37102)),f334(f113(a1),f334(f334(f45(a919),x37101),x37102)))
% 164.74/165.08 [3728]E(f334(f334(f6(x37281,a919),f334(f16(a919,x37281),f87(a919))),x37282),f334(f44(x37281),x37282))
% 164.74/165.08 [3739]E(f334(f88(a1),f54(a1,f334(f88(a1),x37391),x37392)),f54(a1,x37391,f334(f88(a1),x37392)))
% 164.74/165.08 [3741]E(f334(f182(a1),f188(x37411,f334(f334(f23(a1),x37412),f87(a1)))),f334(f309(a1,x37411),x37412))
% 164.74/165.08 [3746]P107(f334(f334(f248(a919),x37461),f334(f334(f89(a919),x37462),x37461)))
% 164.74/165.08 [3747]P107(f334(f334(f248(a919),x37471),f334(f334(f89(a919),x37471),x37472)))
% 164.74/165.08 [3749]E(f334(f334(f23(f926(x37491,a913)),f198(f926(x37491,a913))),x37492),f198(f926(x37491,a913)))
% 164.74/165.08 [3750]E(f334(f334(f123(f926(x37501,a913)),f256(f926(x37501,a913))),x37502),f256(f926(x37501,a913)))
% 164.74/165.08 [3751]E(f334(f334(f114(f926(x37511,a913)),f198(f926(x37511,a913))),x37512),f198(f926(x37511,a913)))
% 164.74/165.08 [3758]E(f334(f334(f266(a1,a1),x37581),f334(f88(a1),x37582)),f334(a60,f334(f334(f266(a1,a1),x37581),x37582)))
% 164.74/165.08 [3759]E(f334(f309(a1,f334(f334(f89(a1),x37591),f87(a1))),x37592),f313(a1,x37591,x37592))
% 164.74/165.08 [3770]E(f334(f334(f90(a919),x37701),f334(f334(f45(a919),x37702),x37701)),f334(f334(f23(a919),x37702),f54(a919,x37702,x37701)))
% 164.74/165.08 [3771]E(f334(f334(f90(a1),x37711),f334(f334(f45(a1),x37712),x37711)),f334(f334(f23(a1),x37712),f54(a1,x37712,x37711)))
% 164.74/165.08 [3775]E(f334(f182(a1),f188(f334(f334(f89(a1),x37751),f87(a1)),x37752)),f312(a1,x37751,x37752))
% 164.74/165.08 [3779]P107(f334(f334(f248(f926(x37791,a913)),x37792),x37792))
% 164.74/165.08 [3782]E(f334(f334(f123(f926(x37821,a913)),x37822),f334(f88(f926(x37821,a913)),x37822)),f256(f926(x37821,a913)))
% 164.74/165.08 [3783]E(f334(f334(f114(f926(x37831,a913)),x37832),f334(f88(f926(x37831,a913)),x37832)),f198(f926(x37831,a913)))
% 164.74/165.08 [3791]E(f334(f334(f23(a919),f334(f334(f23(a919),x37911),f87(a919))),x37912),f334(f334(f23(a919),x37911),f334(a125,x37912)))
% 164.74/165.08 [3797]E(f334(f334(f23(f926(x37971,a913)),f256(f926(x37971,a913))),x37972),f334(f88(f926(x37971,a913)),x37972))
% 164.74/165.08 [3798]E(f334(f334(f23(a1),f334(f116(a1),x37981)),f334(f116(a1),x37982)),f334(f116(a1),f334(f334(f89(a1),x37981),f334(f88(a1),x37982))))
% 164.74/165.08 [3811]E(f334(f182(a919),f149(a919,f334(f309(a919,x38111),f334(a125,x38112)))),f310(a919,x38111,x38112))
% 164.74/165.08 [3819]P107(f334(f334(f334(f334(a206,a26),x38191),x38192),x38191))
% 164.74/165.08 [3826]E(f334(f199(f920(f920(x38261))),f63(x38261,x38262)),f334(f334(f258(a919),f334(a125,f334(a125,f2(a919)))),f334(f199(f920(x38261)),x38262)))
% 164.74/165.08 [3845]E(f334(f334(f193(f925(x38451,x38451),a913),f2(a919)),x38452),f314(x38451,f198(f926(f925(x38451,x38451),a913))))
% 164.74/165.08 [3849]P107(f334(f147(a919),f149(a919,f334(f309(a919,x38491),x38492))))
% 164.74/165.08 [3865]E(f334(f317(a1,a919,a117),f310(a1,f334(f113(a1),x38651),f334(f113(a1),x38652))),f310(a919,x38651,x38652))
% 164.74/165.08 [3874]E(f195(a919,f2(a919),f5(a919),f334(f334(f23(a919),x38741),x38742)),f334(f334(f23(a919),x38741),f334(a125,x38742)))
% 164.74/165.08 [3875]E(f334(a117,f334(f334(f23(a1),x38751),f334(f334(f89(a1),x38752),f87(a1)))),f334(f44(a1),f313(a1,x38752,x38751)))
% 164.74/165.08 [3911]E(f334(f334(f164(a919,a919),a125),f149(a919,f334(f309(a919,x39111),x39112))),f149(a919,f334(f309(a919,f334(a125,x39111)),f334(a125,x39112))))
% 164.74/165.08 [3919]E(f334(f182(a1),f188(f334(f334(f89(a1),x39191),f87(a1)),f334(f334(f23(a1),x39192),f87(a1)))),f313(a1,x39191,x39192))
% 164.74/165.08 [3930]P107(f334(f334(f248(f926(x39301,a913)),f198(f926(x39301,a913))),x39302))
% 164.74/165.08 [3934]E(f94(x39341,f334(f334(f7(x39341,x39341,a913),a331),x39342)),x39342)
% 164.74/165.08 [3935]E(f99(x39351,f334(f334(f7(x39351,x39351,a913),a331),x39352)),x39352)
% 164.74/165.08 [3939]E(f334(f182(a919),f149(a919,f334(f309(a919,f334(a125,x39391)),f334(a125,x39392)))),f312(a919,x39391,x39392))
% 164.74/165.08 [3965]E(f334(f334(f268(x39651,x39652),f256(f926(x39651,a913))),f334(f16(f926(x39652,a913),x39651),f256(f926(x39652,a913)))),f256(f926(f925(x39651,x39652),a913)))
% 164.74/165.08 [4000]E(f334(f254(x40001),f334(f334(f8(a913,a913,x40001),a329),x40002)),f334(f88(f926(x40001,a913)),f334(f254(x40001),x40002)))
% 164.74/165.08 [4003]E(f334(f254(x40031),f334(f334(f7(x40031,x40031,a913),a331),x40032)),f334(f334(f316(x40031),x40032),f198(f926(x40031,a913))))
% 164.74/165.08 [4009]E(f334(f334(f89(a1),f334(f334(f23(a1),x40091),x40092)),f334(f334(f23(a1),x40091),x40092)),f334(f334(f23(a1),f334(f334(f89(a1),x40091),x40091)),f334(f334(f89(a1),x40092),x40092)))
% 164.74/165.08 [4010]E(f334(f334(f89(a1),f334(f334(f89(a1),x40101),x40101)),f334(f334(f89(a1),x40102),x40102)),f334(f334(f89(a1),f334(f334(f89(a1),x40101),x40102)),f334(f334(f89(a1),x40101),x40102)))
% 164.74/165.08 [4021]P22(x40211,f334(f334(f316(f918(x40211)),x40212),f198(f926(f918(x40211),a913))),f334(f334(f316(f918(x40211)),x40212),f198(f926(f918(x40211),a913))))
% 164.74/165.08 [4026]P107(f334(f334(f248(a919),f334(f44(x40261),f334(f182(x40261),x40262))),f334(f199(f920(x40261)),x40262)))
% 164.74/165.08 [4027]P107(f334(f334(f248(a919),f334(f199(f920(x40271)),f162(x40271,x40272))),f334(f199(f920(x40271)),x40272)))
% 164.74/165.08 [4038]E(f334(f254(x40381),f334(f334(f7(x40381,f926(x40381,a913),a913),f336(x40381)),x40382)),x40382)
% 164.74/165.08 [4054]E(f334(f334(f185(x40541),f334(f334(f23(a919),f334(f199(f920(x40541)),x40542)),f87(a919))),x40542),f127(x40541,x40542))
% 164.74/165.08 [4075]E(f195(a919,f2(a919),f334(f334(f8(a919,a919,a919),a125),f334(f246(a919),x40751)),x40752),f334(f334(f246(a919),f334(a125,x40751)),x40752))
% 164.74/165.08 [4078]E(f46(f926(x40781,a913),f334(f317(f926(f925(x40781,x40781),a913),f926(x40781,a913),f289(x40781)),x40782)),f334(f289(x40781),f46(f926(f925(x40781,x40781),a913),x40782)))
% 164.74/165.08 [4079]E(f195(a919,f334(a125,x40791),f334(f334(f8(a919,a919,a919),a125),f334(f247(a919),x40791)),x40792),f334(f334(f247(a919),f334(a125,x40791)),x40792))
% 164.74/165.08 [4081]E(f334(f334(f266(a1,a1),f334(f334(f45(a1),f334(f84(a1),x40811)),f334(f84(a1),x40812))),f54(a1,f334(f84(a1),x40811),f334(f84(a1),x40812))),f62(x40811,x40812))
% 164.74/165.08 [4103]P107(f334(f334(f248(f926(f926(x41031,a913),a913)),x41032),f334(f315(x41031),f46(f926(x41031,a913),x41032))))
% 164.74/165.08 [4136]E(f334(f334(f48(x41361,f926(x41361,a913)),x41362),f334(f334(f7(x41361,f926(x41361,a913),f926(x41361,a913)),f316(x41361)),f198(f926(x41361,a913)))),x41362)
% 164.74/165.08 [4137]E(f334(f334(f296(x41371,x41371,x41371),f334(f294(x41371,x41371),x41372)),f314(x41371,f334(f294(x41371,x41371),x41372))),f334(f294(x41371,x41371),f334(f334(f296(x41371,x41371,x41371),x41372),f314(x41371,x41372))))
% 164.74/165.08 [4202]E(f334(f182(x42021),f334(f152(f920(x42021),f920(x42021),f144(x42021),f126(x42021)),x42022)),f334(f334(f48(f920(x42021),f926(x42021,a913)),f334(f182(f920(x42021)),x42022)),f182(x42021)))
% 164.74/165.08 [4233]E(f334(f334(f123(f926(f925(x42331,x42331),a913)),f314(x42331,f198(f926(f925(x42331,x42331),a913)))),f334(f334(f296(x42331,x42331,x42331),f314(x42331,x42332)),x42332)),f314(x42331,x42332))
% 164.74/165.08 [4269]E(f334(f334(f191(x42691,x42691),x42692),x42692),f334(f334(f164(x42691,f925(x42691,x42691)),f334(f334(f18(x42691,x42691,f925(x42691,x42691)),f266(x42691,x42691)),f5(x42691))),x42692))
% 164.74/165.08 [4381]E(f334(f152(a919,f920(x43811),f334(f7(f920(x43811),a919,a919),f334(f334(f8(a919,f926(a919,a919),f920(x43811)),f247(a919)),f199(f920(x43811)))),f2(a919)),f334(f178(f920(x43811)),x43812)),f334(f199(f920(f920(x43811))),f189(x43811,x43812)))
% 164.74/165.08 [4453]E(f334(f334(f295(f925(a919,f920(x44531)),f920(x44531)),f327(a919,f920(x44531),a253,f155(x44531,x44532))),f334(f334(f18(f920(x44531),f920(x44531),f925(a919,f920(x44531))),f334(f334(f8(a919,f926(f920(x44531),f925(a919,f920(x44531))),f920(x44531)),f266(a919,f920(x44531))),f199(f920(x44531)))),f5(f920(x44531)))),f156(x44531,x44532))
% 164.74/165.08 [4581]E(f334(f254(x45811),f334(f334(f8(f926(f926(x45811,a913),a913),a913,x45811),f97(f926(x45811,a913))),f334(f334(f8(f926(f926(x45811,a913),a913),f926(f926(x45811,a913),a913),x45811),f334(f18(f926(x45811,a913),a913,a913),f334(f334(f8(a913,f926(a913,a913),f926(x45811,a913)),a337),f334(f334(f7(f926(x45811,a913),f926(f926(x45811,a913),a913),a913),f336(f926(x45811,a913))),x45812)))),f336(x45811)))),f47(f926(x45811,a913),x45812))
% 164.74/165.08 [4582]E(f334(f254(x45821),f334(f334(f8(f926(f926(x45821,a913),a913),a913,x45821),f96(f926(x45821,a913))),f334(f334(f8(f926(f926(x45821,a913),a913),f926(f926(x45821,a913),a913),x45821),f334(f18(f926(x45821,a913),a913,a913),f334(f334(f8(a913,f926(a913,a913),f926(x45821,a913)),a333),f334(f334(f7(f926(x45821,a913),f926(f926(x45821,a913),a913),a913),f336(f926(x45821,a913))),x45822)))),f336(x45821)))),f46(f926(x45821,a913),x45822))
% 164.74/165.08 [4731]~P107(f334(f334(f249(a1),f334(f113(a1),x47311)),f334(f88(a1),f334(f113(a1),x47312))))
% 164.74/165.08 [3670]E(f334(f334(f23(a919),f334(f334(f89(a919),x36701),x36702)),x36702),x36701)
% 164.74/165.08 [3671]E(f334(f334(f23(a919),f334(f334(f89(a919),x36711),x36712)),x36711),x36712)
% 164.74/165.08 [3740]E(f334(f334(f89(a919),f334(f334(f23(a919),x37401),x37402)),x37402),f334(f334(f247(a919),x37401),x37402))
% 164.74/165.08 [3852]E(f334(f334(f90(a919),f334(f334(f45(a919),x38521),x38522)),x38522),f334(f334(f23(a919),x38521),f54(a919,x38521,x38522)))
% 164.74/165.08 [3879]E(f334(f182(a919),f149(a919,f334(f309(a919,f334(a125,x38791)),x38792))),f313(a919,x38791,x38792))
% 164.74/165.08 [3887]E(f334(f113(a1),f230(f334(a117,f334(f84(a1),x38871)),f334(a117,f334(f84(a1),x38872)))),f334(f334(a231,x38871),x38872))
% 164.74/165.08 [3889]E(f334(f334(f123(f926(x38891,a913)),f334(f88(f926(x38891,a913)),x38892)),x38892),f256(f926(x38891,a913)))
% 164.74/165.08 [3890]E(f334(f334(f114(f926(x38901,a913)),f334(f88(f926(x38901,a913)),x38902)),x38902),f198(f926(x38901,a913)))
% 164.74/165.08 [3907]P107(f334(f334(f248(a919),f334(f334(f23(a919),x39071),x39072)),x39071))
% 164.74/165.08 [3908]P107(f334(f334(f248(a919),f334(f334(f45(a919),x39081),x39082)),x39081))
% 164.74/165.08 [3931]P107(f334(f334(f249(a919),x39311),f334(a125,f334(f334(f89(a919),x39312),x39311))))
% 164.74/165.08 [3932]P107(f334(f334(f249(a919),x39321),f334(a125,f334(f334(f89(a919),x39321),x39322))))
% 164.74/165.08 [3949]E(f334(f334(f90(a919),f334(a117,f334(f84(a1),x39491))),f334(a117,f334(f84(a1),x39492))),f334(a117,f334(f84(a1),f334(f334(f90(a1),x39491),x39492))))
% 164.74/165.08 [3961]P107(f334(f334(f248(a1),f2(a1)),f334(f334(f258(a1),f334(f84(a1),x39611)),x39612)))
% 164.74/165.08 [4031]E(f334(f293(f920(x40311),f920(x40311),f168(x40311,x40312)),f334(f334(f316(f920(x40311)),f126(x40311)),f198(f926(f920(x40311),a913)))),f334(f334(f316(f920(x40311)),f126(x40311)),f198(f926(f920(x40311),a913))))
% 164.74/165.08 [4050]E(f334(f334(f123(f926(f925(x40501,x40501),a913)),f314(x40501,x40502)),f314(x40501,f198(f926(f925(x40501,x40501),a913)))),f314(x40501,x40502))
% 164.74/165.08 [4065]E(f334(f334(f45(a1),f334(f116(a1),f334(f334(f89(a1),x40651),x40651))),f334(f116(a1),f334(f334(f89(a1),x40652),x40652))),f334(f334(f45(a1),f334(f116(a1),x40651)),f334(f116(a1),x40652)))
% 164.74/165.08 [4126]E(f334(f334(f258(a1),x41261),f334(f116(a919),f334(f334(f89(a1),x41262),x41262))),f334(f334(f95(a1,a1),f334(f334(f258(a1),x41261),f334(f116(a919),x41262))),f334(f334(f18(a1,a1,a1),f90(a1)),f5(a1))))
% 164.74/165.08 [4132]E(f334(f254(f926(x41321,a913)),f334(f334(f7(f926(x41321,a913),f926(x41321,a913),a913),f248(f926(x41321,a913))),x41322)),f334(f315(x41321),x41322))
% 164.74/165.08 [4147]E(f334(f334(f164(a1,a919),a117),f334(f334(f144(a1),f334(f334(f164(a919,a1),f113(a1)),x41471)),f334(f334(f164(a919,a1),f113(a1)),x41472))),f334(f334(f144(a919),x41471),x41472))
% 164.74/165.08 [4180]E(f334(f317(a1,a1,f334(f334(f7(a1,a1,a1),f89(a1)),x41801)),f334(f309(a1,f2(a1)),f334(f334(f23(a1),x41802),x41801))),f334(f309(a1,x41801),x41802))
% 164.74/165.08 [4182]P43(x41821,f334(f334(f23(f926(f925(x41821,x41821),a913)),x41822),f314(x41821,f198(f926(f925(x41821,x41821),a913)))))
% 164.74/165.08 [4200]E(f334(f199(f920(x42001)),f334(f152(f920(x42001),f920(x42001),f144(x42001),f126(x42001)),x42002)),f334(f175(a919),f334(f334(f164(f920(x42001),a919),f199(f920(x42001))),x42002)))
% 164.74/165.08 [4204]P41(x42041,f256(f926(x42041,a913)),f334(f334(f123(f926(f925(x42041,x42041),a913)),x42042),f314(x42041,f198(f926(f925(x42041,x42041),a913)))))
% 164.74/165.08 [4249]E(f195(a919,f2(a919),f334(f334(f8(a919,a919,a919),a125),f334(f334(f7(a919,a919,a919),f246(a919)),x42491)),x42492),f334(f334(f246(a919),x42492),f334(a125,x42491)))
% 164.74/165.08 [4252]E(f195(a919,f334(a125,x42521),f334(f334(f8(a919,a919,a919),a125),f334(f334(f7(a919,a919,a919),f247(a919)),x42521)),x42522),f334(f334(f247(a919),x42522),f334(a125,x42521)))
% 164.74/165.08 [4255]E(f334(f317(x42551,f920(x42551),f334(f334(f7(x42551,f920(x42551),f920(x42551)),f161(x42551)),f126(x42551))),x42552),f184(x42551,x42552,f334(f334(f316(f920(x42551)),f126(x42551)),f198(f926(f920(x42551),a913)))))
% 164.74/165.08 [4257]E(f334(f334(f123(f926(f925(x42571,x42571),a913)),f334(f334(f296(x42571,x42571,x42571),x42572),f314(x42571,x42572))),f314(x42571,f198(f926(f925(x42571,x42571),a913)))),f314(x42571,x42572))
% 164.74/165.08 [4264]P107(f334(f334(f248(f926(f925(x42641,x42641),a913)),f255(x42641,x42642)),f334(f334(f268(x42641,x42641),x42642),f334(f16(f926(x42641,a913),x42641),x42642))))
% 164.74/165.08 [4267]E(f334(f317(a1,a919,a117),f334(f334(f123(f926(a1,a913)),f334(f317(a919,a1,f113(a1)),x42671)),f334(f317(a919,a1,f113(a1)),x42672))),f334(f334(f123(f926(a919,a913)),x42671),x42672))
% 164.74/165.08 [4268]E(f334(f317(a1,a919,a117),f334(f334(f114(f926(a1,a913)),f334(f317(a919,a1,f113(a1)),x42681)),f334(f317(a919,a1,f113(a1)),x42682))),f334(f334(f114(f926(a919,a913)),x42681),x42682))
% 164.74/165.08 [4271]E(f334(f254(x42711),f334(f334(f8(a913,a913,x42711),a329),f334(f334(f7(x42711,f926(x42711,a913),a913),f336(x42711)),x42712))),f334(f88(f926(x42711,a913)),x42712))
% 164.74/165.08 [4298]E(f334(f152(f920(x42981),f920(x42981),f144(x42981),f126(x42981)),f334(f334(f164(f920(x42981),f920(x42981)),f178(x42981)),f334(f178(f920(x42981)),x42982))),f334(f178(x42981),f334(f152(f920(x42981),f920(x42981),f144(x42981),f126(x42981)),x42982)))
% 164.74/165.08 [4325]E(f334(f334(f48(a919,f926(f925(x43251,x43251),a913)),f256(f926(a919,a913))),f334(f334(f7(a919,f926(f925(x43251,x43251),a913),f926(f925(x43251,x43251),a913)),f193(f925(x43251,x43251),a913)),x43252)),f314(x43251,x43252))
% 164.74/165.08 [4343]E(f94(x43431,f334(f334(f8(f926(x43431,a913),a913,x43431),f334(a331,x43432)),f334(f334(f7(x43431,f926(x43431,a913),f926(x43431,a913)),f316(x43431)),f198(f926(x43431,a913))))),f319(x43431,x43432))
% 164.74/165.08 [4351]E(f334(f199(f920(x43511)),f162(x43511,f334(f152(f920(x43511),f920(x43511),f144(x43511),f126(x43511)),x43512))),f334(f44(x43511),f334(f334(f48(f920(x43511),f926(x43511,a913)),f334(f182(f920(x43511)),x43512)),f182(x43511))))
% 164.74/165.08 [4365]E(f334(f334(f123(f926(f925(x43651,x43651),a913)),x43652),f334(f334(f296(x43651,x43651,x43651),f334(f334(f296(x43651,x43651,x43651),x43652),f314(x43651,x43652))),x43652)),f334(f334(f296(x43651,x43651,x43651),x43652),f314(x43651,x43652)))
% 164.74/165.08 [4389]P107(f334(f334(f248(f926(f925(x43891,x43891),a913)),f334(f334(f296(x43891,x43891,x43891),x43892),f314(x43891,x43892))),f334(f334(f268(x43891,x43891),f334(f289(x43891),x43892)),f334(f16(f926(x43891,a913),x43891),f334(f289(x43891),x43892)))))
% 164.74/165.08 [4430]E(f334(f254(f920(x44301)),f334(f334(f7(f920(x44301),f926(x44301,a913),a913),f334(f334(f8(f926(x44301,a913),f926(f926(x44301,a913),a913),f920(x44301)),f248(f926(x44301,a913))),f182(x44301))),x44302)),f171(x44301,x44302))
% 164.74/165.08 [4441]E(f334(f166(f920(x44411),x44411,f126(x44411),f334(f334(f8(f920(x44411),f926(f920(x44411),f920(x44411)),x44411),f334(f7(f920(x44411),f920(x44411),f920(x44411)),f144(x44411))),f334(f334(f7(x44411,f920(x44411),f920(x44411)),f161(x44411)),f126(x44411)))),x44412),f334(f177(x44411),x44412))
% 164.74/165.08 [4482]P23(f926(x44821,x44822),f926(f925(x44821,x44822),a913),f334(f334(f8(f926(f925(x44821,x44822),a913),f926(f925(x44821,x44822),a913),f926(x44821,x44822)),f254(f925(x44821,x44822))),f334(f334(f8(f926(x44821,f926(x44822,a913)),f926(f925(x44821,x44822),a913),f926(x44821,x44822)),f270(x44821,x44822,a913)),f334(f8(x44822,f926(x44822,a913),x44821),f334(f7(x44822,x44822,a913),a331)))),f256(f926(f926(x44821,x44822),a913)))
% 164.74/165.08 [4487]E(f54(a1,f334(f116(a1),f334(f334(f89(a1),x44871),x44871)),f334(f116(a1),f334(f334(f89(a1),x44872),x44872))),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f54(a1,f334(f116(a1),x44871),f334(f116(a1),x44872))))
% 164.74/165.08 [4531]E(f334(f334(f48(x45311,f926(f925(x45311,x45311),a913)),x45312),f334(f334(f7(x45311,f926(f925(x45311,x45311),a913),f926(f925(x45311,x45311),a913)),f334(f334(f8(f925(x45311,x45311),f926(f926(f925(x45311,x45311),a913),f926(f925(x45311,x45311),a913)),x45311),f316(f925(x45311,x45311))),f334(f334(f18(x45311,x45311,f925(x45311,x45311)),f266(x45311,x45311)),f5(x45311)))),f198(f926(f925(x45311,x45311),a913)))),f255(x45311,x45312))
% 164.74/165.08 [4539]E(f216(x45391,f334(f334(f266(a1,a1),f334(f88(a1),f334(f334(f81(f925(a1,a1),a1,x45391,f265(a1,a1)),f226(x45391)),x45392))),f334(f334(f81(f925(a1,a1),a1,x45391,f269(a1,a1)),f226(x45391)),x45392))),f241(x45391,x45392))
% 164.74/165.08 [4621]E(f334(f254(f926(x46211,a913)),f334(f334(f8(f926(f926(x46211,a913),a913),a913,f926(x46211,a913)),f96(f926(x46211,a913))),f334(f334(f7(f926(x46211,a913),f926(f926(x46211,a913),a913),f926(f926(x46211,a913),a913)),f334(f334(f8(f926(f926(x46211,a913),f926(a913,a913)),f926(f926(f926(x46211,a913),a913),f926(f926(x46211,a913),a913)),f926(x46211,a913)),f18(f926(x46211,a913),a913,a913)),f334(f334(f8(f926(f926(x46211,a913),a913),f926(f926(x46211,a913),f926(a913,a913)),f926(x46211,a913)),f334(f8(a913,f926(a913,a913),f926(x46211,a913)),a333)),f334(f334(f7(f926(x46211,a913),f926(f926(x46211,a913),f926(x46211,a913)),f926(f926(x46211,a913),a913)),f334(f334(f8(f926(f926(x46211,a913),a913),f926(f926(f926(x46211,a913),f926(x46211,a913)),f926(f926(x46211,a913),a913)),f926(x46211,a913)),f8(f926(x46211,a913),a913,f926(x46211,a913))),a331)),f88(f926(x46211,a913)))))),f334(f334(f8(f926(f926(x46211,a913),a913),a913,f926(x46211,a913)),f334(f336(f926(x46211,a913)),x46212)),f315(x46211))))),f334(f315(x46211),f334(f88(f926(x46211,a913)),x46212)))
% 164.74/165.08 [4729]~E(f334(f334(f89(a1),x47291),x47291),f334(f334(f23(a1),f334(f334(f89(a1),x47292),x47292)),a110))
% 164.74/165.08 [4733]~P107(f334(f334(f249(a919),f334(f334(f89(a919),x47331),x47332)),x47332))
% 164.74/165.08 [4734]~P107(f334(f334(f249(a919),f334(f334(f89(a919),x47341),x47342)),x47341))
% 164.74/165.08 [3966]E(f334(f334(f23(a919),x39661),f334(f334(f90(a919),f334(f334(f45(a919),x39661),x39662)),x39662)),f54(a919,x39661,x39662))
% 164.74/165.08 [3967]E(f334(f334(f23(a1),x39671),f334(f334(f90(a1),f334(f334(f45(a1),x39671),x39672)),x39672)),f54(a1,x39671,x39672))
% 164.74/165.08 [4001]E(f334(f334(f164(a919,x40011),f334(f174(x40011),x40012)),f149(a919,f334(f309(a919,f2(a919)),f334(f199(f920(x40011)),x40012)))),x40012)
% 164.74/165.08 [4061]E(f334(f293(x40611,x40611,f314(x40611,f198(f926(f925(x40611,x40611),a913)))),x40612),x40612)
% 164.74/165.08 [4185]E(f314(x41851,f334(f334(f23(f926(f925(x41851,x41851),a913)),x41852),f314(x41851,f198(f926(f925(x41851,x41851),a913))))),f314(x41851,x41852))
% 164.74/165.08 [4186]E(f314(x41861,f334(f334(f123(f926(f925(x41861,x41861),a913)),x41862),f314(x41861,f198(f926(f925(x41861,x41861),a913))))),f314(x41861,x41862))
% 164.74/165.08 [4236]E(f334(f334(f23(a1),f334(f334(f23(a1),f334(f334(f89(a1),x42361),x42361)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),x42362),x42362)),a110)),f334(f334(f89(a1),f334(f334(f23(a1),x42361),x42362)),f334(f334(f23(a1),x42361),x42362)))
% 164.74/165.08 [4276]E(f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f89(a1),x42761),x42762)),f334(f334(f89(a1),x42761),x42762))),a110),f334(f334(f89(a1),f334(f334(f89(a1),x42761),x42761)),f334(f334(f23(a1),f334(f334(f89(a1),x42762),x42762)),a110)))
% 164.74/165.08 [4301]E(f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),x43011),x43011)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),x43012),x43012)),a110)),f334(f334(f89(a1),f334(f334(f89(a1),x43011),f334(f334(f23(a1),x43012),a110))),f334(f334(f89(a1),x43011),f334(f334(f23(a1),x43012),a110))))
% 164.74/165.08 [4312]E(f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f23(a1),x43121),x43122)),f334(f334(f23(a1),x43121),x43122))),a110),f334(f334(f23(a1),f334(f334(f23(a1),f334(f334(f89(a1),x43121),x43121)),a110)),f334(f334(f89(a1),x43122),x43122)))
% 164.74/165.08 [4313]E(f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f89(a1),x43131),x43132)),f334(f334(f89(a1),x43131),x43132))),a110),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),x43131),x43131)),a110)),f334(f334(f89(a1),x43132),x43132)))
% 164.74/165.08 [4362]E(f334(f113(a1),f334(f334(f45(a919),f334(f334(f90(a919),f334(a117,f334(f84(a1),x43621))),f334(a117,f334(f84(a1),x43622)))),f230(f334(a117,f334(f84(a1),x43621)),f334(a117,f334(f84(a1),x43622))))),f232(x43621,x43622))
% 164.74/165.08 [4407]E(f334(f334(f272(f925(a112,a112),a112,f925(a112,a112),f925(x44071,f925(a112,a112))),f277(f334(a3,f334(f199(f920(x44071)),x44072)))),f334(f334(f8(x44071,f926(f925(a112,a112),f925(x44071,f925(a112,a112))),a112),f266(x44071,f925(a112,a112))),f334(f334(f8(a919,x44071,a112),f334(f174(x44071),x44072)),a20))),f283(x44071,x44072))
% 164.74/165.08 [4488]E(f334(f152(a919,f920(x44881),f334(f7(f920(x44881),a919,a919),f334(f334(f8(a919,f926(a919,a919),f920(x44881)),f247(a919)),f199(f920(x44881)))),f2(a919)),f334(f178(f920(x44881)),f189(x44881,x44882))),f334(f199(f920(f920(x44881))),f334(f146(f920(x44881),f334(f334(f8(a913,a913,f920(x44881)),a329),f334(f334(f7(f920(x44881),f920(x44881),a913),a331),f126(x44881)))),x44882)))
% 164.74/165.08 [4494]E(f334(f334(f48(a919,f926(x44941,a913)),f256(f926(a919,a913))),f334(f334(f7(a919,f926(a919,f926(x44941,a913)),f926(x44941,a913)),f334(f334(f8(f926(a919,a913),f926(f926(a919,f926(x44941,a913)),f926(x44941,a913)),a919),f48(a919,f926(x44941,a913))),f309(a919,f2(a919)))),x44942)),f334(f334(f48(a919,f926(x44941,a913)),f256(f926(a919,a913))),x44942))
% 164.74/165.08 [4516]P107(f334(f70(a919),f334(f254(a919),f334(f334(f18(a919,a913,a913),f334(f334(f8(a913,f926(a913,a913),a919),a333),x45161)),f334(f334(f7(a919,a919,a913),f249(a919)),x45162)))))
% 164.74/165.08 [4630]E(f334(f254(f925(f920(x46301),f920(x46301))),f334(f270(f920(x46301),f920(x46301),a913),f334(f334(f18(f920(x46301),f926(f920(x46301),a913),f926(f920(x46301),a913)),f334(f334(f8(f926(f920(x46301),f926(a913,a913)),f926(f926(f920(x46301),a913),f926(f920(x46301),a913)),f920(x46301)),f18(f920(x46301),a913,a913)),f334(f334(f8(f926(f920(x46301),a913),f926(f920(x46301),f926(a913,a913)),f920(x46301)),f334(f8(a913,f926(a913,a913),f920(x46301)),a332)),f334(f334(f7(f920(x46301),f926(f920(x46301),a919),f926(f920(x46301),a913)),f334(f334(f8(f926(a919,a913),f926(f926(f920(x46301),a919),f926(f920(x46301),a913)),f920(x46301)),f8(a919,a913,f920(x46301))),f334(f334(f8(a919,f926(a919,a913),f920(x46301)),f249(a919)),f199(f920(x46301))))),f199(f920(x46301)))))),f334(f334(f18(f920(x46301),f926(f920(x46301),a913),f926(f920(x46301),a913)),f334(f334(f8(f926(f920(x46301),f926(a913,a913)),f926(f926(f920(x46301),a913),f926(f920(x46301),a913)),f920(x46301)),f18(f920(x46301),a913,a913)),f334(f334(f8(f926(f920(x46301),a913),f926(f920(x46301),f926(a913,a913)),f920(x46301)),f334(f8(a913,f926(a913,a913),f920(x46301)),a333)),f334(f334(f7(f920(x46301),f926(f920(x46301),a919),f926(f920(x46301),a913)),f334(f334(f8(f926(a919,a913),f926(f926(f920(x46301),a919),f926(f920(x46301),a913)),f920(x46301)),f8(a919,a913,f920(x46301))),f334(f334(f8(a919,f926(a919,a913),f920(x46301)),a331),f199(f920(x46301))))),f199(f920(x46301)))))),f334(f334(f7(f920(x46301),f926(f925(f920(x46301),f920(x46301)),a913),f926(f920(x46301),a913)),f334(f334(f8(f926(f920(x46301),f926(f926(f925(f920(x46301),f920(x46301)),a913),a913)),f926(f926(f925(f920(x46301),f920(x46301)),a913),f926(f920(x46301),a913)),f920(x46301)),f7(f920(x46301),f926(f925(f920(x46301),f920(x46301)),a913),a913)),f334(f334(f8(f926(f920(x46301),f925(f920(x46301),f920(x46301))),f926(f920(x46301),f926(f926(f925(f920(x46301),f920(x46301)),a913),a913)),f920(x46301)),f334(f8(f925(f920(x46301),f920(x46301)),f926(f926(f925(f920(x46301),f920(x46301)),a913),a913),f920(x46301)),f336(f925(f920(x46301),f920(x46301))))),f266(f920(x46301),f920(x46301))))),f155(x46301,x46302)))))),f156(x46301,x46302))
% 164.74/165.08 [4304]E(f334(f334(f89(a1),f334(f334(f89(a1),f334(f334(f90(a1),x43041),x43042)),f334(f334(f90(a1),x43041),x43042))),x43042),f334(f334(f90(a1),f334(f334(f23(a1),f334(f334(f89(a1),x43041),x43041)),a110)),x43042))
% 164.74/165.08 [4406]E(f334(a117,f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x44061),x44062)),f198(f926(f925(a919,a919),a913)))))),f334(f334(f23(a919),x44061),x44062))
% 164.74/165.08 [4410]E(f334(f334(f296(x44101,x44101,x44101),f334(f334(f123(f926(f925(x44101,x44101),a913)),x44102),f314(x44101,f198(f926(f925(x44101,x44101),a913))))),f314(x44101,f334(f334(f123(f926(f925(x44101,x44101),a913)),x44102),f314(x44101,f198(f926(f925(x44101,x44101),a913)))))),f314(x44101,x44102))
% 164.74/165.08 [4447]E(f278(x44471,f334(f146(f925(a112,x44471),f334(f270(a112,x44471,a913),f334(f334(f8(a913,f926(x44471,a913),a112),f16(a913,x44471)),f334(f249(a112),f2(a112))))),x44472)),f278(x44471,x44472))
% 164.74/165.08 [4448]E(f276(x44481,f334(f146(f925(a112,x44481),f334(f270(a112,x44481,a913),f334(f334(f8(a913,f926(x44481,a913),a112),f16(a913,x44481)),f334(f249(a112),f2(a112))))),x44482)),f276(x44481,x44482))
% 164.74/165.08 [4450]E(f334(f88(a1),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x44501),x44502)),f198(f926(f925(a919,a919),a913)))))),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x44502),x44501)),f198(f926(f925(a919,a919),a913))))))
% 164.74/165.08 [4507]E(f334(f334(f295(f920(a919),x45071),f155(a919,a253)),f334(f334(f7(x45071,f920(f926(x45071,a919)),f920(a919)),f334(f334(f8(f926(f926(x45071,a919),a919),f926(f920(f926(x45071,a919)),f920(a919)),x45071),f164(f926(x45071,a919),a919)),f334(f7(f926(x45071,a919),x45071,a919),f5(f926(x45071,a919))))),x45072)),f163(x45071,x45072))
% 164.74/165.08 [4528]E(f334(f334(f95(a1,a919),f334(f116(a1),f334(f334(f89(a1),x45281),a110))),f334(f334(f18(a1,a919,a919),f334(f334(f7(a1,a919,f926(a919,a919)),f334(f334(f8(a913,f926(a919,f926(a919,a919)),a1),f109(a919)),a203)),f2(a919))),f334(f334(f8(a919,a919,a1),a125),f334(f334(f8(a919,a919,a1),f334(f246(a919),x45282)),a117)))),f334(f334(f246(a919),f334(a125,x45282)),f334(f116(a919),x45281)))
% 164.74/165.08 [4529]E(f334(f334(f95(a1,a919),f334(f116(a1),f334(f334(f89(a1),x45291),a110))),f334(f334(f18(a1,a919,a919),f334(f334(f7(a1,a919,f926(a919,a919)),f334(f334(f8(a913,f926(a919,f926(a919,a919)),a1),f109(a919)),a203)),f334(a125,x45292))),f334(f334(f8(a919,a919,a1),a125),f334(f334(f8(a919,a919,a1),f334(f247(a919),x45292)),a117)))),f334(f334(f247(a919),f334(a125,x45292)),f334(f116(a919),x45291)))
% 164.74/165.08 [4549]E(f334(f152(f920(x45491),f920(x45491),f144(x45491),f126(x45491)),f334(f334(f164(f920(x45491),f920(x45491)),f166(f920(x45491),x45491,f126(x45491),f334(f334(f8(f920(x45491),f926(f920(x45491),f920(x45491)),x45491),f16(f920(x45491),f920(x45491))),f334(f334(f7(x45491,f920(x45491),f920(x45491)),f161(x45491)),f126(x45491))))),x45492)),f334(f334(f164(f920(x45491),x45491),f151(x45491)),f334(f146(f920(x45491),f334(f334(f8(a913,a913,f920(x45491)),a329),f334(f334(f7(f920(x45491),f920(x45491),a913),a331),f126(x45491)))),x45492)))
% 164.74/165.08 [4611]E(f334(f270(a1,a1,a913),f334(f334(f7(a1,f926(a1,a913),f926(a1,a913)),f334(f334(f8(f926(a1,f926(a913,a913)),f926(f926(a1,a913),f926(a1,a913)),a1),f18(a1,a913,a913)),f334(f334(f8(f926(a1,a913),f926(a1,f926(a913,a913)),a1),f334(f8(a913,f926(a913,a913),a1),a333)),f334(f334(f8(f926(a1,a1),f926(a1,a913),a1),f334(f8(a1,a913,a1),f334(a331,x46111))),f334(f334(f8(a1,f926(a1,a1),a1),f89(a1)),f334(f90(a1),x46112)))))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f334(f8(a913,a913,a1),f334(a337,f334(f334(f249(a1),f2(a1)),x46112))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f248(a1),f2(a1)))),f334(f334(f7(a1,a1,a913),f249(a1)),x46112))))),f334(f334(f8(a913,a913,a1),f334(a337,f334(a329,f334(f334(f249(a1),f2(a1)),x46112)))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f249(a1),x46112))),f334(f334(f7(a1,a1,a913),f248(a1)),f2(a1))))))),f58(x46111,x46112))
% 164.74/165.08 [4613]E(f334(f254(x46131),f334(f334(f8(f926(a919,a913),a913,x46131),f96(a919)),f334(f334(f7(x46131,f926(a919,a913),f926(a919,a913)),f334(f334(f8(f926(a919,f926(a913,a913)),f926(f926(a919,a913),f926(a919,a913)),x46131),f18(a919,a913,a913)),f334(f334(f8(f926(a919,a913),f926(a919,f926(a913,a913)),x46131),f334(f8(a913,f926(a913,a913),a919),a333)),f334(f334(f7(x46131,f926(a919,x46131),f926(a919,a913)),f334(f334(f8(f926(x46131,a913),f926(f926(a919,x46131),f926(a919,a913)),x46131),f8(x46131,a913,a919)),a331)),f334(f174(x46131),x46132))))),f334(f334(f7(a919,a919,a913),f249(a919)),f334(f199(f920(x46131)),x46132))))),f334(f182(x46131),x46132))
% 164.74/165.08 [4420]E(f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),x44201),a110)),x44202)),f334(f334(f23(a1),f334(f334(f89(a1),x44201),a110)),x44202))),a110),f334(f334(f23(a1),f334(f334(f89(a1),x44201),x44201)),f334(f334(f23(a1),f334(f334(f89(a1),x44202),x44202)),a110)))
% 164.74/165.08 [4544]E(f334(f152(f920(f920(x45441)),f920(f920(x45441)),f144(f920(x45441)),f126(f920(x45441))),f334(f334(f164(f920(x45441),f920(f920(x45441))),f166(f920(f920(x45441)),x45441,f126(f920(x45441)),f334(f16(f926(f920(x45441),f920(f920(x45441))),x45441),f334(f334(f7(f920(x45441),f920(f920(x45441)),f920(f920(x45441))),f161(f920(x45441))),f126(f920(x45441)))))),x45442)),f334(f334(f164(f920(x45441),f920(x45441)),f181(x45441)),f334(f146(f920(x45441),f334(f334(f8(a913,a913,f920(x45441)),a329),f334(f334(f7(f920(x45441),f920(x45441),a913),a331),f126(x45441)))),x45442)))
% 164.74/165.08 [4554]E(f334(f334(f95(a1,a919),f334(f116(a1),f334(f334(f89(a1),x45541),a110))),f334(f334(f18(a1,a919,a919),f334(f334(f7(a1,a919,f926(a919,a919)),f334(f334(f8(a913,f926(a919,f926(a919,a919)),a1),f109(a919)),a203)),f2(a919))),f334(f334(f8(a919,a919,a1),a125),f334(f334(f7(a1,a919,a919),f334(f334(f8(a919,f926(a919,a919),a1),f246(a919)),a117)),x45542)))),f334(f334(f246(a919),f334(f116(a919),x45541)),f334(a125,x45542)))
% 164.74/165.08 [4555]E(f334(f334(f95(a1,a919),f334(f116(a1),f334(f334(f89(a1),x45551),a110))),f334(f334(f18(a1,a919,a919),f334(f334(f7(a1,a919,f926(a919,a919)),f334(f334(f8(a913,f926(a919,f926(a919,a919)),a1),f109(a919)),a203)),f334(a125,x45552))),f334(f334(f8(a919,a919,a1),a125),f334(f334(f7(a1,a919,a919),f334(f334(f8(a919,f926(a919,a919),a1),f247(a919)),a117)),x45552)))),f334(f334(f247(a919),f334(f116(a919),x45551)),f334(a125,x45552)))
% 164.74/165.08 [4543]E(f334(f270(x45431,x45431,a913),f334(f334(f18(x45431,a913,f926(x45431,a913)),f334(f334(f8(f926(x45431,f926(a913,a913)),f926(a913,f926(x45431,a913)),x45431),f7(x45431,a913,a913)),f334(f334(f8(f926(x45431,a913),f926(x45431,f926(a913,a913)),x45431),f334(f8(a913,f926(a913,a913),x45431),a333)),a331))),x45432)),f255(x45431,x45432))
% 164.74/165.08 [4588]E(f334(f334(f45(a919),x45881),f334(f334(f89(a919),f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),a110))),x45882)),f334(f334(f45(a919),x45881),f334(a125,f334(a125,f334(a125,x45882)))))
% 164.74/165.08 [4589]E(f54(a919,x45891,f334(f334(f89(a919),f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),a110))),x45892)),f54(a919,x45891,f334(a125,f334(a125,f334(a125,x45892)))))
% 164.74/165.08 [4590]E(f54(a919,f334(f334(f89(a919),f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),a110))),x45901),x45902),f54(a919,f334(a125,f334(a125,f334(a125,x45901))),x45902))
% 164.74/165.08 [4602]E(f135(f334(x46021,f334(f334(f90(a112),f334(f116(a112),f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),a110))),x46022))),f334(f214(x46021),x46022))
% 164.74/165.08 [4603]E(f334(f334(f45(a919),f334(f334(f89(a919),f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),a110))),x46031)),x46032),f334(f334(f45(a919),f334(a125,f334(a125,f334(a125,x46031)))),x46032))
% 164.74/165.08 [4677]~E(f30(x46771,x46772,x46773),a26)
% 164.74/165.08 [4678]~E(f31(x46781,x46782,x46783),a26)
% 164.74/165.08 [4682]~E(f138(x46821,x46822,x46823),f132(x46821))
% 164.74/165.08 [3396]E(f334(f202(x33961,x33962),x33963),f133(x33961,x33962))
% 164.74/165.08 [3415]E(f334(f213(x34151,x34152),x34153),f334(f140(x34151),x34152))
% 164.74/165.08 [3494]E(f334(f334(f164(x34941,x34942),x34943),f126(x34941)),f126(x34942))
% 164.74/165.08 [3534]E(f334(f194(x35341,x35342,x35343),f2(a919)),x35342)
% 164.74/165.08 [3536]E(f334(f334(f191(x35361,x35362),x35363),f126(x35362)),f126(f925(x35361,x35362)))
% 164.74/165.08 [3551]E(f334(f199(f920(x35511)),f179(x35511,x35512,x35513)),x35512)
% 164.74/165.08 [3570]E(f94(x35701,f71(x35701,x35702,x35703)),f334(f72(x35701,x35702),x35703))
% 164.74/165.08 [3574]E(f257(x35741,x35742,f257(x35742,x35741,x35743)),x35743)
% 164.74/165.08 [3593]E(f334(f178(x35931),f179(x35931,x35932,x35933)),f179(x35931,x35932,x35933))
% 164.74/165.08 [3620]E(f150(x36201,x36202,f162(x36201,x36203)),f162(x36201,f150(x36201,x36202,x36203)))
% 164.74/165.08 [3637]E(f334(f265(f920(x36371),f920(x36371)),f176(x36371,x36372,x36373)),f334(f146(x36371,x36372),x36373))
% 164.74/165.08 [3679]E(f334(f334(f161(x36791),x36792),f179(x36791,x36793,x36792)),f179(x36791,f334(a125,x36793),x36792))
% 164.74/165.08 [3711]E(f195(x37111,x37112,x37113,f2(a919)),x37112)
% 164.74/165.08 [3712]E(f17(x37121,x37122,x37123,f2(a112)),x37122)
% 164.74/165.08 [3713]E(f19(x37131,x37132,x37133,f2(a112)),x37132)
% 164.74/165.08 [3720]E(f173(x37201,x37202,x37203,f126(x37201)),f126(x37202))
% 164.74/165.08 [3726]E(f334(f334(f174(x37261),f334(f334(f161(x37261),x37262),x37263)),f2(a919)),x37262)
% 164.74/165.08 [3760]E(f68(x37601,x37602,f126(x37601),x37603),f126(f925(x37601,x37602)))
% 164.74/165.08 [3781]P23(x37811,x37812,x37813,f198(f926(x37811,a913)))
% 164.74/165.08 [3883]E(f275(x38831,x38832,x38833),f334(f266(f926(a112,f926(a913,f923(f921(x38831)))),f925(a112,a112)),f50(x38831)))
% 164.74/165.08 [3940]E(f334(f81(x39401,x39402,x39401,x39403),f25(x39401)),x39403)
% 164.74/165.08 [4118]P107(f334(f334(f336(f925(x41181,x41181)),f334(f334(f266(x41181,x41181),x41182),x41182)),f314(x41181,x41183)))
% 164.74/165.08 [4738]~P107(f334(f334(f336(f925(f920(x47381),f920(x47381))),f334(f334(f266(f920(x47381),f920(x47381)),x47382),f126(x47381))),f155(x47381,x47383)))
% 164.74/165.08 [4739]~P107(f334(f334(f336(f925(f920(x47391),f920(x47391))),f334(f334(f266(f920(x47391),f920(x47391)),x47392),f126(x47391))),f157(x47391,x47393)))
% 164.74/165.08 [4740]~P107(f334(f334(f336(f925(f920(x47401),f920(x47401))),f334(f334(f266(f920(x47401),f920(x47401)),x47402),f126(x47401))),f167(x47401,x47403)))
% 164.74/165.08 [4741]~P107(f334(f334(f336(f925(f920(x47411),f920(x47411))),f334(f334(f266(f920(x47411),f920(x47411)),f126(x47411)),x47412)),f155(x47411,x47413)))
% 164.74/165.08 [4742]~P107(f334(f334(f336(f925(f920(x47421),f920(x47421))),f334(f334(f266(f920(x47421),f920(x47421)),f126(x47421)),x47422)),f167(x47421,x47423)))
% 164.74/165.08 [3468]E(f334(f334(f215(x34681),x34682),x34683),f216(x34681,f229(x34682,x34683)))
% 164.74/165.08 [3523]E(f334(f294(x35231,x35232),f334(f294(x35232,x35231),x35233)),x35233)
% 164.74/165.08 [3546]E(f334(f334(f191(x35461,x35462),f126(x35461)),x35463),f126(f925(x35461,x35462)))
% 164.74/165.08 [3549]E(f186(x35491,x35492,f334(f290(a919),x35493)),f334(f334(f185(x35491),x35493),x35492))
% 164.74/165.08 [3567]E(f162(x35671,f334(f146(x35671,x35672),x35673)),f334(f146(x35671,x35672),f162(x35671,x35673)))
% 164.74/165.08 [3568]E(f334(f292(x35681,x35682),f334(f294(x35682,x35681),x35683)),f334(f264(x35682,x35681),x35683))
% 164.74/165.08 [3569]E(f334(f264(x35691,x35692),f334(f294(x35692,x35691),x35693)),f334(f292(x35692,x35691),x35693))
% 164.74/165.08 [3586]E(f334(f146(x35861,x35862),f334(f178(x35861),x35863)),f334(f178(x35861),f334(f146(x35861,x35862),x35863)))
% 164.74/165.08 [3599]E(f334(f334(f148(x35991),x35992),f334(f181(x35991),x35993)),f334(f334(f148(x35991),f334(a125,x35992)),x35993))
% 164.74/165.08 [3615]E(f32(f30(x36151,x36152,x36153)),f334(f334(f89(a919),f32(x36153)),f334(a125,f2(a919))))
% 164.74/165.08 [3616]E(f334(f317(x36161,x36162,x36163),f198(f926(x36161,a913))),f198(f926(x36162,a913)))
% 164.74/165.08 [3617]E(f334(f293(x36171,x36172,x36173),f198(f926(x36171,a913))),f198(f926(x36172,a913)))
% 164.74/165.08 [3618]E(f334(f318(x36181,x36182,x36183),f198(f926(x36182,a913))),f198(f926(x36181,a913)))
% 164.74/165.08 [3619]E(f334(f318(x36191,x36192,x36193),f256(f926(x36192,a913))),f256(f926(x36191,a913)))
% 164.74/165.08 [3644]E(f334(f334(f316(x36441),x36442),f334(f182(x36441),x36443)),f334(f182(x36441),f150(x36441,x36442,x36443)))
% 164.74/165.08 [3730]E(f334(f199(a915),f30(x37301,x37302,x37303)),f334(f334(f89(a919),f334(f199(a915),x37303)),f334(a125,f2(a919))))
% 164.74/165.08 [3731]E(f334(f317(f925(x37311,x37312),x37312,f269(x37311,x37312)),x37313),f334(f292(x37311,x37312),x37313))
% 164.74/165.08 [3732]E(f334(f317(f925(x37321,x37322),x37321,f265(x37321,x37322)),x37323),f334(f264(x37321,x37322),x37323))
% 164.74/165.08 [3752]E(f334(f182(x37521),f179(x37521,f334(a125,x37522),x37523)),f334(f334(f316(x37521),x37523),f198(f926(x37521,a913))))
% 164.74/165.08 [3810]E(f334(f334(f266(x38101,x38102),f334(f265(x38101,x38102),x38103)),f334(f269(x38101,x38102),x38103)),x38103)
% 164.74/165.08 [3817]E(f334(f199(f921(x38171)),f138(x38171,x38172,x38173)),f334(f334(f89(a919),f334(f199(f921(x38171)),x38173)),f334(a125,f2(a919))))
% 164.74/165.08 [3820]E(f334(f334(f270(x38201,x38202,x38201),f16(x38201,x38202)),x38203),f334(f265(x38201,x38202),x38203))
% 164.74/165.08 [3896]E(f32(f31(x38961,x38962,x38963)),f334(f334(f89(a919),f334(f334(f89(a919),f32(x38962)),f32(x38963))),f334(a125,f2(a919))))
% 164.74/165.08 [3945]E(f334(f81(x39451,x39451,x39452,f25(x39451)),x39453),x39453)
% 164.74/165.08 [3952]E(f334(f334(f144(x39521),f179(x39521,x39522,x39523)),f334(f334(f161(x39521),x39523),f126(x39521))),f334(f334(f161(x39521),x39523),f179(x39521,x39522,x39523)))
% 164.74/165.08 [4053]P107(f334(f334(f204(f28(x40531,x40532)),x40533),f334(f334(f334(a207,x40533),x40531),f334(x40532,x40533))))
% 164.74/165.08 [4055]E(f334(f199(a915),f31(x40551,x40552,x40553)),f334(f334(f89(a919),f334(f334(f89(a919),f334(f199(a915),x40552)),f334(f199(a915),x40553))),f334(a125,f2(a919))))
% 164.74/165.08 [4127]P107(f334(f334(f248(f926(x41271,a913)),f334(f182(x41271),f334(f146(x41271,x41272),x41273))),f334(f182(x41271),x41273)))
% 164.74/165.08 [4171]P107(f334(f334(f248(f926(x41711,a913)),f334(f182(x41711),f334(f334(f185(x41711),x41712),x41713))),f334(f182(x41711),x41713)))
% 164.74/165.08 [4172]P107(f334(f334(f248(f926(x41721,a913)),f334(f182(x41721),f334(f334(f148(x41721),x41722),x41723))),f334(f182(x41721),x41723)))
% 164.74/165.08 [4176]P107(f334(f334(f248(f926(x41761,a913)),f334(f182(x41761),f186(x41761,x41762,x41763))),f334(f182(x41761),x41762)))
% 164.74/165.08 [4177]P107(f334(f334(f248(f926(x41771,a913)),f334(f182(x41771),f180(x41771,x41772,x41773))),f334(f182(x41771),x41773)))
% 164.74/165.08 [4198]P23(f925(x41981,x41982),f925(x41982,x41981),f334(f270(x41981,x41982,f925(x41982,x41981)),f334(f7(x41982,x41981,f925(x41982,x41981)),f266(x41982,x41981))),x41983)
% 164.74/165.08 [4209]E(f334(f334(f334(f193(f920(x42091),f920(x42091)),f54(a919,x42092,f334(f199(f920(x42091)),x42093))),f177(x42091)),x42093),f334(f334(f334(f193(f920(x42091),f920(x42091)),x42092),f177(x42091)),x42093))
% 164.74/165.08 [4253]P107(f334(f334(f336(f925(f920(x42531),f920(x42531))),f334(f334(f266(f920(x42531),f920(x42531)),x42532),x42532)),f168(x42531,f314(x42531,x42533))))
% 164.74/165.08 [4393]E(f94(f925(x43931,x43932),f334(f334(f18(f925(x43931,x43932),x43932,a913),f334(f334(f8(x43931,f926(x43932,a913),f925(x43931,x43932)),x43933),f265(x43931,x43932))),f269(x43931,x43932))),f94(f925(x43931,x43932),f334(f270(x43931,x43932,a913),x43933)))
% 164.74/165.08 [4394]E(f99(f925(x43941,x43942),f334(f334(f18(f925(x43941,x43942),x43942,a913),f334(f334(f8(x43941,f926(x43942,a913),f925(x43941,x43942)),x43943),f265(x43941,x43942))),f269(x43941,x43942))),f99(f925(x43941,x43942),f334(f270(x43941,x43942,a913),x43943)))
% 164.74/165.08 [4427]E(f334(f334(f295(f925(a919,x44271),x44271),f327(a919,x44271,a253,x44272)),f334(f334(f18(x44271,x44271,f925(a919,x44271)),f334(f334(f8(a919,f926(x44271,f925(a919,x44271)),x44271),f266(a919,x44271)),x44273)),f5(x44271))),f328(x44271,x44273,x44272))
% 164.74/165.08 [4490]E(f334(f271(x44901,x44901,x44902,x44902,f5(x44901),f5(x44902)),x44903),x44903)
% 164.74/165.08 [4563]E(f334(f152(f920(f920(x45631)),f920(f920(x45631)),f144(f920(x45631)),f126(f920(x45631))),f334(f334(f164(f920(x45631),f920(f920(x45631))),f334(f334(f7(f920(x45631),f920(x45631),f920(f920(x45631))),f334(f334(f8(f926(x45631,f920(x45631)),f926(f920(x45631),f920(f920(x45631))),f920(x45631)),f164(x45631,f920(x45631))),f334(f7(x45631,f920(x45631),f920(x45631)),f161(x45631)))),x45632)),f64(x45631,x45633,x45632))),f64(x45631,f334(a125,x45633),x45632))
% 164.74/165.08 [4620]E(f237(a919,f925(x46201,f921(x46201)),f2(a919),f334(f270(x46201,f921(x46201),a919),f334(f334(f7(x46201,a919,f926(f921(x46201),a919)),f334(f334(f8(f926(f921(x46201),f926(a919,a919)),f926(a919,f926(f921(x46201),a919)),x46201),f7(f921(x46201),a919,a919)),f334(f334(f8(f926(f921(x46201),a919),f926(f921(x46201),f926(a919,a919)),x46201),f334(f8(a919,f926(a919,a919),f921(x46201)),f89(a919))),f334(f334(f7(x46201,f926(f921(x46201),a919),f926(f921(x46201),a919)),f334(f334(f8(f926(a919,a919),f926(f926(f921(x46201),a919),f926(f921(x46201),a919)),x46201),f8(a919,a919,f921(x46201))),f334(f334(f8(a919,f926(a919,a919),x46201),f89(a919)),x46202))),f137(x46201,x46202))))),f87(a919))),f334(f145(x46201),x46203)),f334(f137(x46201,x46202),x46203))
% 164.74/165.08 [4629]E(f334(f334(f95(a1,x46291),f232(f334(f334(f81(f925(a1,a1),a1,x46291,f269(a1,a1)),f226(x46291)),x46292),f334(f334(f81(f925(a1,a1),a1,x46291,f269(a1,a1)),f226(x46291)),x46293))),f334(f334(f18(a1,a1,x46291),f334(f334(f8(a1,f926(a1,x46291),a1),f215(x46291)),f334(f334(f18(a1,a1,a1),f334(f334(f8(a1,f926(a1,a1),a1),f89(a1)),f334(f334(f8(a1,a1,a1),f334(f90(a1),f334(f334(f81(f925(a1,a1),a1,x46291,f265(a1,a1)),f226(x46291)),x46292))),f334(f334(f7(a1,a1,a1),f45(a1)),f334(f334(f81(f925(a1,a1),a1,x46291,f269(a1,a1)),f226(x46291)),x46292))))),f334(f334(f8(a1,a1,a1),f334(f90(a1),f334(f334(f81(f925(a1,a1),a1,x46291,f265(a1,a1)),f226(x46291)),x46293))),f334(f334(f7(a1,a1,a1),f45(a1)),f334(f334(f81(f925(a1,a1),a1,x46291,f269(a1,a1)),f226(x46291)),x46293)))))),f5(a1))),f244(x46291,x46292,x46293))
% 164.74/165.08 [4673]~E(f334(f334(f161(x46731),x46732),x46733),x46733)
% 164.74/165.08 [4680]~E(f334(f334(f161(x46801),x46802),x46803),f126(x46801))
% 164.74/165.08 [4698]~E(f334(f334(f316(x46981),x46982),x46983),f198(f926(x46981,a913)))
% 164.74/165.08 [4720]~E(f334(f317(x47201,f926(x47201,a913),x47202),x47203),f334(f315(x47201),x47203))
% 164.74/165.08 [3528]E(f334(f334(f169(x35281,f126(x35281)),x35282),x35283),f126(x35281))
% 164.74/165.08 [3529]E(f334(f151(x35291),f334(f334(f161(x35291),x35292),x35293)),x35292)
% 164.74/165.08 [3530]E(f334(f181(x35301),f334(f334(f161(x35301),x35302),x35303)),x35303)
% 164.74/165.08 [3573]E(f334(f334(f148(x35731),f87(a919)),f334(f334(f161(x35731),x35732),x35733)),x35733)
% 164.74/165.08 [3606]E(f127(x36061,f334(f334(f148(x36061),x36062),x36063)),f334(f334(f148(x36061),x36062),f127(x36061,x36063)))
% 164.74/165.08 [3608]E(f334(f334(f169(x36081,x36082),x36083),f334(f334(f174(x36081),x36082),x36083)),x36082)
% 164.74/165.08 [3629]E(f334(f334(f316(x36291),x36292),f334(f334(f316(x36291),x36292),x36293)),f334(f334(f316(x36291),x36292),x36293))
% 164.74/165.08 [3640]E(f334(f334(f316(x36401),x36402),f334(f182(x36401),x36403)),f334(f182(x36401),f334(f334(f161(x36401),x36402),x36403)))
% 164.74/165.08 [3642]E(f334(f334(f148(x36421),x36422),f334(f181(x36421),x36423)),f334(f181(x36421),f334(f334(f148(x36421),x36422),x36423)))
% 164.74/165.08 [3653]E(f334(f334(f185(x36531),f87(a919)),f334(f334(f161(x36531),x36532),x36533)),f334(f334(f161(x36531),x36532),f126(x36531)))
% 164.74/165.08 [3696]E(f334(f72(x36961,x36962),f334(f334(f316(x36961),x36963),f198(f926(x36961,a913)))),x36963)
% 164.74/165.08 [3742]E(f334(f334(f89(a919),x37421),f334(f334(f89(a919),x37422),x37423)),f334(f334(f89(a919),x37422),f334(f334(f89(a919),x37421),x37423)))
% 164.74/165.08 [3743]E(f334(f334(f89(a1),x37431),f334(f334(f89(a1),x37432),x37433)),f334(f334(f89(a1),x37432),f334(f334(f89(a1),x37431),x37433)))
% 164.74/165.08 [3748]E(f334(f334(f268(x37481,x37482),f198(f926(x37481,a913))),x37483),f198(f926(f925(x37481,x37482),a913)))
% 164.74/165.08 [3773]E(f334(f334(f123(f926(x37731,a913)),x37732),x37733),f334(f334(f123(f926(x37731,a913)),x37733),x37732))
% 164.74/165.08 [3774]E(f334(f334(f114(f926(x37741,a913)),x37742),x37743),f334(f334(f114(f926(x37741,a913)),x37743),x37742))
% 164.74/165.08 [3776]E(f334(f334(f144(x37761),x37762),f334(f334(f161(x37761),x37763),f126(x37761))),f334(f177(x37761),f334(f334(f161(x37761),x37763),x37762)))
% 164.74/165.08 [3777]E(f334(f334(f144(x37771),f334(f178(x37771),x37772)),f334(f178(x37771),x37773)),f334(f178(x37771),f334(f334(f144(x37771),x37773),x37772)))
% 164.74/165.08 [3787]E(f334(f181(x37871),f334(f334(f185(x37871),f334(a125,x37872)),x37873)),f334(f334(f185(x37871),x37872),f334(f181(x37871),x37873)))
% 164.74/165.08 [3795]P107(f334(f334(f336(x37951),x37952),f334(f334(f316(x37951),x37952),x37953)))
% 164.74/165.08 [3799]E(f334(f334(f49(x37991,f926(x37992,a913)),f198(f926(x37991,a913))),x37993),f256(f926(x37992,a913)))
% 164.74/165.08 [3802]E(f334(f293(x38021,x38021,f255(x38021,x38022)),x38023),f334(f334(f114(f926(x38021,a913)),x38022),x38023))
% 164.74/165.08 [3816]E(f334(f199(f920(x38161)),f334(f334(f161(x38161),x38162),x38163)),f334(f334(f89(a919),f334(f199(f920(x38161)),x38163)),f334(a125,f2(a919))))
% 164.74/165.08 [3822]E(f127(x38221,f334(f334(f144(x38221),x38222),f334(f334(f161(x38221),x38223),f126(x38221)))),x38222)
% 164.74/165.08 [3823]E(f154(x38231,f334(f334(f144(x38231),x38232),f334(f334(f161(x38231),x38233),f126(x38231)))),x38233)
% 164.74/165.08 [3830]E(f334(f334(f144(x38301),f334(f334(f185(x38301),x38302),x38303)),f334(f334(f148(x38301),x38302),x38303)),x38303)
% 164.74/165.08 [3839]E(f334(f334(f23(a919),f334(f334(f89(a919),x38391),x38392)),f334(f334(f89(a919),x38393),x38392)),f334(f334(f23(a919),x38391),x38393))
% 164.74/165.08 [3840]E(f334(f334(f23(a919),f334(f334(f89(a919),x38401),x38402)),f334(f334(f89(a919),x38401),x38403)),f334(f334(f23(a919),x38402),x38403))
% 164.74/165.08 [3846]E(f334(f334(f144(x38461),f334(f178(x38461),x38462)),f334(f334(f161(x38461),x38463),f126(x38461))),f334(f178(x38461),f334(f334(f161(x38461),x38463),x38462)))
% 164.74/165.08 [3848]E(f334(f334(f89(a919),f334(f199(f920(x38481)),x38482)),f334(f199(f920(x38481)),x38483)),f334(f199(f920(x38481)),f334(f334(f144(x38481),x38482),x38483)))
% 164.74/165.08 [3851]E(f334(f334(f89(a919),f334(f199(f920(x38511)),x38512)),f334(f199(f920(x38511)),x38513)),f334(f199(f920(x38511)),f183(x38511,x38512,x38513)))
% 164.74/165.08 [3858]E(f334(f334(f123(f926(x38581,a913)),f334(f182(x38581),x38582)),f334(f182(x38581),x38583)),f334(f182(x38581),f334(f334(f144(x38581),x38582),x38583)))
% 164.74/165.08 [3859]E(f54(a919,f334(f334(f90(a919),x38591),x38592),f334(f334(f90(a919),x38591),x38593)),f334(f334(f90(a919),x38591),f54(a919,x38592,x38593)))
% 164.74/165.08 [3871]E(f334(f334(f185(x38711),f334(f334(f23(a919),x38712),f87(a919))),f334(f181(x38711),x38713)),f334(f181(x38711),f334(f334(f185(x38711),x38712),x38713)))
% 164.74/165.08 [3876]E(f334(f334(f114(f926(x38761,a913)),x38762),f334(f88(f926(x38761,a913)),x38763)),f334(f334(f23(f926(x38761,a913)),x38762),x38763))
% 164.74/165.08 [3877]E(f334(f334(f23(f926(x38771,a913)),x38772),f334(f88(f926(x38771,a913)),x38773)),f334(f334(f114(f926(x38771,a913)),x38772),x38773))
% 164.74/165.08 [3900]E(f334(f334(f268(x39001,x39002),x39003),f334(f16(f926(x39002,a913),x39001),f198(f926(x39002,a913)))),f198(f926(f925(x39001,x39002),a913)))
% 164.74/165.08 [3902]E(f334(f334(f23(a919),f334(f334(f90(a919),x39021),x39022)),f334(f334(f90(a919),x39021),x39023)),f334(f334(f90(a919),x39021),f334(f334(f23(a919),x39022),x39023)))
% 164.74/165.08 [3903]E(f334(f334(f89(a919),f334(f334(f90(a919),x39031),x39032)),f334(f334(f90(a919),x39031),x39033)),f334(f334(f90(a919),x39031),f334(f334(f89(a919),x39032),x39033)))
% 164.74/165.08 [3904]E(f334(f334(f23(a1),f334(f334(f90(a1),x39041),x39042)),f334(f334(f90(a1),x39041),x39043)),f334(f334(f90(a1),x39041),f334(f334(f23(a1),x39042),x39043)))
% 164.74/165.08 [3905]E(f334(f334(f89(a1),f334(f334(f90(a1),x39051),x39052)),f334(f334(f90(a1),x39051),x39053)),f334(f334(f90(a1),x39051),f334(f334(f89(a1),x39052),x39053)))
% 164.74/165.08 [3906]E(f334(f334(f90(a1),f334(f334(f258(a1),x39061),x39062)),f334(f334(f258(a1),x39061),x39063)),f334(f334(f258(a1),x39061),f334(f334(f89(a919),x39062),x39063)))
% 164.74/165.08 [3920]E(f334(f334(f48(x39201,f926(x39202,a913)),x39203),f334(f16(f926(x39202,a913),x39201),f198(f926(x39202,a913)))),f198(f926(x39202,a913)))
% 164.74/165.08 [3922]E(f54(a919,f334(f334(f90(a919),x39221),x39222),f334(f334(f90(a919),x39223),x39222)),f334(f334(f90(a919),f54(a919,x39221,x39223)),x39222))
% 164.74/165.08 [3926]E(f54(a1,f334(f334(f23(a1),x39261),f54(a1,x39262,x39263)),x39263),f54(a1,f334(f334(f23(a1),x39261),x39262),x39263))
% 164.74/165.08 [3927]E(f54(a1,f334(f334(f90(a1),x39271),f54(a1,x39272,x39273)),x39273),f54(a1,f334(f334(f90(a1),x39271),x39272),x39273))
% 164.74/165.08 [3928]P107(f334(f334(f248(f926(x39281,a913)),x39282),f334(f334(f316(x39281),x39283),x39282)))
% 164.74/165.08 [4004]E(f334(f334(f49(f926(x40041,a913),f926(x40041,a913)),x40042),f334(f123(f926(x40041,a913)),x40043)),f334(f334(f123(f926(x40041,a913)),x40043),f47(f926(x40041,a913),x40042)))
% 164.74/165.08 [4005]E(f334(f334(f48(f926(x40051,a913),f926(x40051,a913)),x40052),f334(f114(f926(x40051,a913)),x40053)),f334(f334(f114(f926(x40051,a913)),x40053),f46(f926(x40051,a913),x40052)))
% 164.74/165.08 [4016]E(f334(f182(x40161),f334(f334(f334(f193(f920(x40161),f920(x40161)),x40162),f177(x40161)),x40163)),f334(f182(x40161),x40163))
% 164.74/165.08 [4020]E(f334(f334(f185(x40201),f334(f199(f920(x40201)),f187(x40201,x40202,x40203))),x40203),f187(x40201,x40202,x40203))
% 164.74/165.08 [4025]E(f334(f199(f920(x40251)),f334(f334(f334(f193(f920(x40251),f920(x40251)),x40252),f177(x40251)),x40253)),f334(f199(f920(x40251)),x40253))
% 164.74/165.08 [4028]E(f334(f334(f270(x40281,x40282,x40282),f334(f16(f926(x40282,x40282),x40281),f5(x40282))),x40283),f334(f269(x40281,x40282),x40283))
% 164.74/165.08 [4035]E(f54(a1,f334(f334(f23(a1),f54(a1,x40351,x40352)),x40353),x40352),f54(a1,f334(f334(f23(a1),x40351),x40353),x40352))
% 164.74/165.08 [4036]E(f54(a1,f334(f334(f258(a1),f54(a1,x40361,x40362)),x40363),x40362),f54(a1,f334(f334(f258(a1),x40361),x40363),x40362))
% 164.74/165.08 [4039]E(f334(f334(f48(f926(f925(x40391,x40392),a913),f926(x40392,a913)),x40393),f292(x40391,x40392)),f334(f292(x40391,x40392),f46(f926(f925(x40391,x40392),a913),x40393)))
% 164.74/165.08 [4040]E(f334(f334(f48(f926(f925(x40401,x40402),a913),f926(x40401,a913)),x40403),f264(x40401,x40402)),f334(f264(x40401,x40402),f46(f926(f925(x40401,x40402),a913),x40403)))
% 164.74/165.08 [4066]E(f334(f81(x40661,x40661,x40661,x40662),f334(f334(f193(x40661,x40661),x40663),x40662)),f334(f334(f193(x40661,x40661),f334(a125,x40663)),x40662))
% 164.74/165.08 [4082]E(f334(f334(f148(x40821),f334(f334(f23(a919),f334(f199(f920(x40821)),x40822)),x40823)),f334(f178(x40821),x40822)),f334(f178(x40821),f334(f334(f185(x40821),x40823),x40822)))
% 164.74/165.08 [4083]E(f334(f334(f185(x40831),f334(f334(f23(a919),f334(f199(f920(x40831)),x40832)),x40833)),f334(f178(x40831),x40832)),f334(f178(x40831),f334(f334(f148(x40831),x40833),x40832)))
% 164.74/165.08 [4085]E(f334(f334(f89(a919),f334(f175(a919),f334(f334(f164(x40851,a919),x40852),x40853))),f334(f199(f920(x40851)),x40853)),f165(x40851,x40852,x40853))
% 164.74/165.08 [4104]E(f334(f177(x41041),f334(f334(f334(f193(f920(x41041),f920(x41041)),x41042),f177(x41041)),x41043)),f334(f334(f334(f193(f920(x41041),f920(x41041)),f334(a125,x41042)),f177(x41041)),x41043))
% 164.74/165.08 [4119]P107(f334(f334(f248(a919),f334(f199(f920(x41191)),f334(f146(x41191,x41192),x41193))),f334(f199(f920(x41191)),x41193)))
% 164.74/165.08 [4135]E(f334(f334(f123(f926(f926(x41351,a913),a913)),f334(f315(x41351),x41352)),f334(f317(f926(x41351,a913),f926(x41351,a913),f334(f316(x41351),x41353)),f334(f315(x41351),x41352))),f334(f315(x41351),f334(f334(f316(x41351),x41353),x41352)))
% 164.74/165.08 [4153]P22(x41531,x41532,f334(f334(f316(f918(x41531)),f334(f334(f334(f100(x41531),x41533),a26),x41533)),f198(f926(f918(x41531),a913))))
% 164.74/165.08 [4168]P107(f334(f334(f248(a919),f334(f199(f920(x41681)),f187(x41681,x41682,x41683))),f334(f199(f920(x41681)),x41683)))
% 164.74/165.08 [4175]E(f334(f264(x41751,x41752),f334(f254(f925(x41751,x41752)),f334(f270(x41751,x41752,a913),x41753))),f334(f254(x41751),f334(f334(f8(f926(x41752,a913),a913,x41751),f96(x41752)),x41753)))
% 164.74/165.08 [4187]E(f334(f317(a919,a919,f334(f334(f7(a919,a919,a919),f89(a919)),x41871)),f310(a919,x41872,x41873)),f310(a919,f334(f334(f89(a919),x41872),x41871),f334(f334(f89(a919),x41873),x41871)))
% 164.74/165.08 [4201]E(f334(f317(a919,a919,f334(f334(f7(a919,a919,a919),f89(a919)),x42011)),f334(f309(a919,x42012),x42013)),f334(f309(a919,f334(f334(f89(a919),x42012),x42011)),f334(f334(f89(a919),x42013),x42011)))
% 164.74/165.08 [4219]E(f334(f334(f191(x42191,x42192),f334(f334(f164(f925(x42191,x42192),x42191),f265(x42191,x42192)),x42193)),f334(f334(f164(f925(x42191,x42192),x42192),f269(x42191,x42192)),x42193)),x42193)
% 164.74/165.08 [4224]E(f334(f334(f89(a919),f334(f334(f90(a919),x42241),f54(a919,f334(f334(f45(a919),x42242),x42241),x42243))),f54(a919,x42242,x42241)),f54(a919,x42242,f334(f334(f90(a919),x42241),x42243)))
% 164.74/165.08 [4237]E(f334(f334(f144(x42371),x42372),f334(f152(f920(x42371),f920(x42371),f144(x42371),f126(x42371)),x42373)),f334(f152(f920(x42371),f920(x42371),f144(x42371),x42372),x42373))
% 164.74/165.08 [4258]P107(f334(f334(f336(f925(x42581,x42581)),f334(f334(f266(x42581,x42581),x42582),x42582)),f334(f334(f193(f925(x42581,x42581),a913),f2(a919)),x42583)))
% 164.74/165.08 [4263]E(f334(f254(x42631),f334(f334(f8(f926(x42632,a913),a913,x42631),f96(x42632)),f334(f7(x42632,x42631,a913),x42633))),f334(f292(x42632,x42631),f334(f254(f925(x42632,x42631)),f334(f270(x42632,x42631,a913),x42633))))
% 164.74/165.08 [4280]E(f334(f334(f123(f926(x42801,a913)),f334(f334(f48(a919,f926(x42801,a913)),f310(a919,f87(a919),x42802)),x42803)),f334(x42803,f2(a919))),f334(f334(f48(a919,f926(x42801,a913)),f334(f308(a919),x42802)),x42803))
% 164.74/165.08 [4295]E(f334(f152(f920(x42951),f920(x42951),f144(x42951),f126(x42951)),f334(f334(f164(f920(x42951),f920(x42951)),f146(x42951,x42952)),x42953)),f334(f146(x42951,x42952),f334(f152(f920(x42951),f920(x42951),f144(x42951),f126(x42951)),x42953)))
% 164.74/165.08 [4299]E(f334(f269(f920(x42991),f920(x42991)),f176(x42991,x42992,x42993)),f334(f146(x42991,f334(f81(a913,a913,x42991,a329),x42992)),x42993))
% 164.74/165.08 [4317]E(f334(f334(f49(x43171,f926(x43172,a913)),f256(f926(x43171,a913))),f334(f334(f8(f926(x43172,a913),f926(x43172,a913),x43171),f254(x43172)),f334(f7(x43172,x43171,a913),x43173))),f334(f254(x43172),f334(f334(f8(f926(x43171,a913),a913,x43172),f97(x43171)),x43173)))
% 164.74/165.08 [4345]E(f334(f334(f89(a1),f334(f334(f89(a1),f334(f334(f90(a1),x43451),f334(f334(f45(a1),x43452),x43451))),f54(a1,x43452,x43451))),x43453),f334(f334(f89(a1),x43452),x43453))
% 164.74/165.08 [4382]E(f334(f334(f89(a1),f334(f334(f89(a1),f334(f334(f90(a1),f334(f334(f45(a1),x43821),x43822)),x43822)),f54(a1,x43821,x43822))),x43823),f334(f334(f89(a1),x43821),x43823))
% 164.74/165.08 [4408]E(f94(f925(x44081,x44082),f334(f270(x44081,x44082,a913),f334(f334(f8(f926(x44082,f925(x44081,x44082)),f926(x44082,a913),x44081),f334(f8(f925(x44081,x44082),a913,x44082),x44083)),f266(x44081,x44082)))),f94(f925(x44081,x44082),x44083))
% 164.74/165.08 [4409]E(f99(f925(x44091,x44092),f334(f270(x44091,x44092,a913),f334(f334(f8(f926(x44092,f925(x44091,x44092)),f926(x44092,a913),x44091),f334(f8(f925(x44091,x44092),a913,x44092),x44093)),f266(x44091,x44092)))),f99(f925(x44091,x44092),x44093))
% 164.74/165.08 [4436]P107(f334(f334(f248(f926(x44361,a913)),f46(f926(x44361,a913),f334(f334(f114(f926(f926(x44361,a913),a913)),x44362),x44363))),f334(f334(f114(f926(x44361,a913)),f46(f926(x44361,a913),x44362)),f46(f926(x44361,a913),x44363))))
% 164.74/165.08 [4437]E(f334(f178(x44371),f334(f334(f334(f193(f920(x44371),f920(x44371)),f334(f334(f23(a919),f334(f199(f920(x44371)),x44372)),f54(a919,x44373,f334(f199(f920(x44371)),x44372)))),f177(x44371)),x44372)),f334(f334(f334(f193(f920(x44371),f920(x44371)),x44373),f177(x44371)),f334(f178(x44371),x44372)))
% 164.74/165.08 [4474]P107(f334(f334(f248(a919),f334(f199(f920(x44741)),f334(f334(f148(x44741),f334(f199(f920(x44741)),f187(x44741,x44742,x44743))),x44743))),f334(f199(f920(x44741)),x44743)))
% 164.74/165.08 [4732]~P107(f334(f71(x47321,x47322,f198(f926(x47321,a913))),x47323))
% 164.74/165.08 [4737]~P107(f334(f334(f336(f925(x47371,x47371)),f334(f334(f266(x47371,x47371),x47372),x47373)),f163(x47371,f126(f926(x47371,a919)))))
% 164.74/165.08 [3788]E(f334(f199(f920(x37881)),f334(f334(f185(x37881),x37882),x37883)),f334(f334(f246(a919),f334(f199(f920(x37881)),x37883)),x37882))
% 164.74/165.08 [3789]E(f334(f199(f920(x37891)),f334(f334(f148(x37891),x37892),x37893)),f334(f334(f23(a919),f334(f199(f920(x37891)),x37893)),x37892))
% 164.74/165.08 [3815]E(f334(f199(f920(f920(x38151))),f64(x38151,x38152,x38153)),f334(f334(f258(a919),f334(f199(f920(x38151)),x38153)),x38152))
% 164.74/165.08 [3832]E(f334(f334(f45(a919),f334(f334(f45(a919),x38321),x38322)),x38323),f334(f334(f45(a919),x38321),f334(f334(f90(a919),x38322),x38323)))
% 164.74/165.08 [3833]E(f334(f334(f23(a919),f334(f334(f23(a919),x38331),x38332)),x38333),f334(f334(f23(a919),x38331),f334(f334(f89(a919),x38332),x38333)))
% 164.74/165.08 [3834]E(f334(f334(f90(a919),f334(f334(f90(a919),x38341),x38342)),x38343),f334(f334(f90(a919),x38341),f334(f334(f90(a919),x38342),x38343)))
% 164.74/165.08 [3835]E(f334(f334(f90(a1),f334(f334(f90(a1),x38351),x38352)),x38353),f334(f334(f90(a1),x38351),f334(f334(f90(a1),x38352),x38353)))
% 164.74/165.08 [3836]E(f334(f334(f89(a919),f334(f334(f89(a919),x38361),x38362)),x38363),f334(f334(f89(a919),x38361),f334(f334(f89(a919),x38362),x38363)))
% 164.74/165.08 [3837]E(f334(f334(f89(a1),f334(f334(f89(a1),x38371),x38372)),x38373),f334(f334(f89(a1),x38371),f334(f334(f89(a1),x38372),x38373)))
% 164.74/165.08 [3838]E(f334(f334(f258(a1),f334(f334(f258(a1),x38381),x38382)),x38383),f334(f334(f258(a1),x38381),f334(f334(f90(a919),x38382),x38383)))
% 164.74/165.08 [3857]E(f172(x38571,f334(f334(f161(f926(x38571,a913)),x38572),x38573)),f184(x38571,x38572,f172(x38571,x38573)))
% 164.74/165.08 [3901]E(f334(f334(f23(a919),f334(f334(f23(a919),x39011),x39012)),x39013),f334(f334(f23(a919),f334(f334(f23(a919),x39011),x39013)),x39012))
% 164.74/165.08 [3909]E(f334(f334(f114(f926(x39091,a913)),x39092),f334(f334(f23(f926(x39091,a913)),x39093),x39092)),f198(f926(x39091,a913)))
% 164.74/165.08 [3913]E(f334(f334(f164(a919,x39131),f334(f16(x39131,a919),x39132)),f149(a919,f334(f309(a919,f2(a919)),x39133))),f179(x39131,x39133,x39132))
% 164.74/165.08 [3950]E(f47(f926(x39501,a913),f334(f334(f316(f926(x39501,a913)),x39502),x39503)),f334(f334(f114(f926(x39501,a913)),x39502),f47(f926(x39501,a913),x39503)))
% 164.74/165.08 [3951]E(f46(f926(x39511,a913),f334(f334(f316(f926(x39511,a913)),x39512),x39513)),f334(f334(f123(f926(x39511,a913)),x39512),f46(f926(x39511,a913),x39513)))
% 164.74/165.08 [3953]E(f179(x39531,f334(f199(f920(x39531)),f334(f146(x39531,f334(a331,x39532)),x39533)),x39532),f334(f146(x39531,f334(a331,x39532)),x39533))
% 164.74/165.08 [3955]E(f334(f334(f23(a919),f334(f334(f90(a919),x39551),x39552)),f334(f334(f90(a919),x39553),x39552)),f334(f334(f90(a919),f334(f334(f23(a919),x39551),x39553)),x39552))
% 164.74/165.08 [3956]E(f334(f334(f89(a919),f334(f334(f90(a919),x39561),x39562)),f334(f334(f90(a919),x39563),x39562)),f334(f334(f90(a919),f334(f334(f89(a919),x39561),x39563)),x39562))
% 164.74/165.08 [3957]E(f334(f334(f23(a1),f334(f334(f90(a1),x39571),x39572)),f334(f334(f90(a1),x39573),x39572)),f334(f334(f90(a1),f334(f334(f23(a1),x39571),x39573)),x39572))
% 164.74/165.08 [3958]E(f334(f334(f89(a1),f334(f334(f90(a1),x39581),x39582)),f334(f334(f90(a1),x39583),x39582)),f334(f334(f90(a1),f334(f334(f89(a1),x39581),x39583)),x39582))
% 164.74/165.08 [3960]E(f334(f334(f246(a919),f334(f334(f23(a919),x39601),x39602)),f334(f334(f23(a919),x39603),x39602)),f334(f334(f23(a919),f334(f334(f246(a919),x39601),x39603)),x39602))
% 164.74/165.08 [3982]E(f334(f334(f114(f926(f920(x39821),a913)),f170(x39821,x39822)),f170(x39821,x39823)),f170(x39821,f334(f334(f114(f926(x39821,a913)),x39822),x39823)))
% 164.74/165.08 [3985]E(f334(f334(f123(f926(x39851,a913)),x39852),f334(f334(f23(f926(x39851,a913)),x39853),x39852)),f334(f334(f123(f926(x39851,a913)),x39852),x39853))
% 164.74/165.08 [3986]E(f334(f334(f123(f926(x39861,a913)),x39862),f334(f334(f123(f926(x39861,a913)),x39862),x39863)),f334(f334(f123(f926(x39861,a913)),x39862),x39863))
% 164.74/165.08 [3987]E(f334(f334(f114(f926(x39871,a913)),x39872),f334(f334(f114(f926(x39871,a913)),x39872),x39873)),f334(f334(f114(f926(x39871,a913)),x39872),x39873))
% 164.74/165.08 [3999]E(f334(f334(f296(x39991,x39992,x39992),x39993),f314(x39992,f198(f926(f925(x39992,x39992),a913)))),x39993)
% 164.74/165.08 [4002]E(f334(f334(f123(f926(x40021,a913)),f334(f334(f316(x40021),x40022),f198(f926(x40021,a913)))),x40023),f334(f334(f316(x40021),x40022),x40023))
% 164.74/165.08 [4019]E(f334(f334(f23(a919),f334(f334(f23(a919),f334(a125,x40191)),x40192)),f334(a125,x40193)),f334(f334(f23(a919),f334(f334(f23(a919),x40191),x40192)),x40193))
% 164.74/165.08 [4048]E(f334(f334(f114(f926(f926(x40481,a913),a913)),f334(f315(x40481),x40482)),f334(f315(x40481),x40483)),f334(f315(x40481),f334(f334(f114(f926(x40481,a913)),x40482),x40483)))
% 164.74/165.08 [4051]E(f334(f334(f123(f926(x40511,a913)),f334(f88(f926(x40511,a913)),x40512)),x40513),f334(f88(f926(x40511,a913)),f334(f334(f23(f926(x40511,a913)),x40512),x40513)))
% 164.74/165.08 [4063]E(f334(f334(f316(x40631),x40632),f334(f334(f23(f926(x40631,a913)),x40633),f334(f334(f316(x40631),x40632),f198(f926(x40631,a913))))),f334(f334(f316(x40631),x40632),x40633))
% 164.74/165.08 [4073]P107(f334(f334(f248(f926(x40731,a913)),x40732),f334(f334(f123(f926(x40731,a913)),x40733),x40732)))
% 164.74/165.08 [4074]P107(f334(f334(f248(f926(x40741,a913)),x40742),f334(f334(f123(f926(x40741,a913)),x40742),x40743)))
% 164.74/165.08 [4076]E(f334(f334(f114(f926(x40761,a913)),f334(f88(f926(x40761,a913)),x40762)),f334(f88(f926(x40761,a913)),x40763)),f334(f88(f926(x40761,a913)),f334(f334(f123(f926(x40761,a913)),x40762),x40763)))
% 164.74/165.08 [4077]E(f334(f334(f123(f926(x40771,a913)),f334(f88(f926(x40771,a913)),x40772)),f334(f88(f926(x40771,a913)),x40773)),f334(f88(f926(x40771,a913)),f334(f334(f114(f926(x40771,a913)),x40772),x40773)))
% 164.74/165.08 [4090]P107(f334(f334(f248(f926(x40901,a913)),f334(f182(x40901),x40902)),f334(f182(x40901),f334(f334(f161(x40901),x40903),x40902))))
% 164.74/165.08 [4102]E(f334(f334(f123(f926(x41021,a913)),f334(f334(f23(f926(x41021,a913)),x41022),x41023)),f334(f334(f114(f926(x41021,a913)),x41022),x41023)),x41022)
% 164.74/165.08 [4155]E(f334(f334(f6(x41551,a1),f334(f334(f8(a919,a1,x41551),f113(a1)),x41552)),x41553),f334(f113(a1),f334(f334(f6(x41551,a919),x41552),x41553)))
% 164.74/165.08 [4156]E(f334(f334(f9(x41561,a1),f334(f334(f8(a919,a1,x41561),f113(a1)),x41562)),x41563),f334(f113(a1),f334(f334(f9(x41561,a919),x41562),x41563)))
% 164.74/165.08 [4203]E(f334(f334(f144(x42031),f187(x42031,x42032,x42033)),f334(f334(f148(x42031),f334(f199(f920(x42031)),f187(x42031,x42032,x42033))),x42033)),x42033)
% 164.74/165.08 [4207]E(f334(f88(f926(f925(x42071,x42072),a913)),f334(f334(f268(x42071,x42072),x42073),f334(f16(f926(x42072,a913),x42071),f256(f926(x42072,a913))))),f334(f334(f268(x42071,x42072),f334(f88(f926(x42071,a913)),x42073)),f334(f16(f926(x42072,a913),x42071),f256(f926(x42072,a913)))))
% 164.74/165.08 [4208]E(f334(f88(f926(f925(x42081,x42082),a913)),f334(f334(f268(x42081,x42082),f256(f926(x42081,a913))),f334(f16(f926(x42082,a913),x42081),x42083))),f334(f334(f268(x42081,x42082),f256(f926(x42081,a913))),f334(f16(f926(x42082,a913),x42081),f334(f88(f926(x42082,a913)),x42083))))
% 164.74/165.08 [4259]E(f334(f334(f48(f926(x42591,a913),f926(x42591,a913)),x42592),f334(f334(f7(f926(x42591,a913),f926(x42591,a913),f926(x42591,a913)),f114(f926(x42591,a913))),x42593)),f334(f334(f114(f926(x42591,a913)),f46(f926(x42591,a913),x42592)),x42593))
% 164.74/165.08 [4265]E(f334(f152(f920(x42651),f920(x42651),f144(x42651),f126(x42651)),f334(f334(f161(f920(x42651)),x42652),x42653)),f334(f334(f144(x42651),x42652),f334(f152(f920(x42651),f920(x42651),f144(x42651),f126(x42651)),x42653)))
% 164.74/165.08 [4286]E(f334(f334(f316(f926(x42861,a913)),f334(f293(x42861,x42861,x42862),f334(f334(f316(x42861),x42863),f198(f926(x42861,a913))))),f198(f926(f926(x42861,a913),a913))),f334(f334(f69(x42861),f334(f334(f316(x42861),x42863),f198(f926(x42861,a913)))),x42862))
% 164.74/165.08 [4296]E(f334(f334(f89(a919),f334(f334(f90(a919),x42961),f334(f334(f45(a919),x42962),x42963))),f334(f334(f45(a919),f334(f334(f90(a919),x42961),f54(a919,x42962,x42963))),x42963)),f334(f334(f45(a919),f334(f334(f90(a919),x42961),x42962)),x42963))
% 164.74/165.08 [4297]E(f334(f334(f89(a1),f334(f334(f90(a1),x42971),f334(f334(f45(a1),x42972),x42973))),f334(f334(f45(a1),f334(f334(f90(a1),x42971),f54(a1,x42972,x42973))),x42973)),f334(f334(f45(a1),f334(f334(f90(a1),x42971),x42972)),x42973))
% 164.74/165.08 [4330]E(f334(f334(f23(f926(x43301,a913)),f334(f182(x43301),x43302)),f334(f334(f316(x43301),x43303),f198(f926(x43301,a913)))),f334(f182(x43301),f334(f146(x43301,f334(f334(f8(a913,a913,x43301),a329),f334(a331,x43303))),x43302)))
% 164.74/165.08 [4380]E(f334(f334(f144(x43801),f334(f152(f920(x43801),f920(x43801),f144(x43801),f126(x43801)),x43802)),f334(f152(f920(x43801),f920(x43801),f144(x43801),f126(x43801)),x43803)),f334(f152(f920(x43801),f920(x43801),f144(x43801),f126(x43801)),f334(f334(f144(f920(x43801)),x43802),x43803)))
% 164.74/165.08 [4383]E(f334(f334(f266(f920(x43831),f920(x43831)),f334(f146(x43831,x43832),x43833)),f334(f146(x43831,f334(f81(a913,a913,x43831,a329),x43832)),x43833)),f176(x43831,x43832,x43833))
% 164.74/165.08 [4386]E(f334(f334(f89(a919),f334(f334(f89(a919),f334(f334(f45(a919),x43861),x43862)),f334(f334(f45(a919),x43863),x43862))),f334(f334(f45(a919),f334(f334(f89(a919),f54(a919,x43861,x43862)),f54(a919,x43863,x43862))),x43862)),f334(f334(f45(a919),f334(f334(f89(a919),x43861),x43863)),x43862))
% 164.74/165.08 [4387]E(f334(f334(f89(a1),f334(f334(f89(a1),f334(f334(f45(a1),x43871),x43872)),f334(f334(f45(a1),x43873),x43872))),f334(f334(f45(a1),f334(f334(f89(a1),f54(a1,x43871,x43872)),f54(a1,x43873,x43872))),x43872)),f334(f334(f45(a1),f334(f334(f89(a1),x43871),x43873)),x43872))
% 164.74/165.08 [4440]E(f334(f334(f114(f926(f920(x44401),a913)),f334(f334(f7(f920(x44401),f926(f920(x44401),a913),a913),f336(f920(x44401))),f171(x44401,x44402))),f334(f334(f7(f920(x44401),f926(f920(x44401),a913),a913),f336(f920(x44401))),f171(x44401,x44403))),f170(x44401,f334(f334(f114(f926(x44401,a913)),f334(f334(f7(x44401,f926(x44401,a913),a913),f336(x44401)),x44402)),f334(f334(f7(x44401,f926(x44401,a913),a913),f336(x44401)),x44403))))
% 164.74/165.08 [4452]E(f334(f254(x44521),f334(f334(f18(x44521,a913,a913),f334(f334(f8(a913,f926(a913,a913),x44521),a332),f334(f334(f7(x44521,x44521,a913),a331),x44522))),f334(f334(f7(x44521,f926(x44521,a913),a913),f336(x44521)),x44523))),f334(f334(f316(x44521),x44522),x44523))
% 164.74/165.08 [4472]E(f334(f334(f95(f920(f920(x44721)),f920(f920(x44721))),f63(x44721,x44722)),f334(f334(f18(f920(f920(x44721)),f920(f920(x44721)),f920(f920(x44721))),f334(f334(f8(f920(f920(x44721)),f926(f920(f920(x44721)),f920(f920(x44721))),f920(f920(x44721))),f144(f920(x44721))),f334(f164(f920(x44721),f920(x44721)),f334(f161(x44721),x44723)))),f5(f920(f920(x44721))))),f63(x44721,f334(f334(f161(x44721),x44723),x44722)))
% 164.74/165.08 [4475]E(f334(f254(x44751),f334(f334(f18(x44751,a913,a913),f334(f334(f8(a913,f926(a913,a913),x44751),a332),f334(f334(f7(x44751,f926(x44751,a913),a913),f336(x44751)),x44752))),f334(f334(f7(x44751,f926(x44751,a913),a913),f336(x44751)),x44753))),f334(f334(f123(f926(x44751,a913)),x44752),x44753))
% 164.74/165.08 [4476]E(f334(f254(x44761),f334(f334(f18(x44761,a913,a913),f334(f334(f8(a913,f926(a913,a913),x44761),a333),f334(f334(f7(x44761,f926(x44761,a913),a913),f336(x44761)),x44762))),f334(f334(f7(x44761,f926(x44761,a913),a913),f336(x44761)),x44763))),f334(f334(f114(f926(x44761,a913)),x44762),x44763))
% 164.74/165.08 [4566]E(f334(f334(f48(x45661,f926(f926(x45661,a913),a913)),x45662),f334(f334(f7(x45661,f926(f926(x45661,a913),a913),f926(f926(x45661,a913),a913)),f334(f334(f8(f926(x45661,a913),f926(f926(f926(x45661,a913),a913),f926(f926(x45661,a913),a913)),x45661),f316(f926(x45661,a913))),f334(f334(f8(f926(x45661,a913),f926(x45661,a913),x45661),f293(x45661,x45661,x45663)),f334(f334(f7(x45661,f926(x45661,a913),f926(x45661,a913)),f316(x45661)),f198(f926(x45661,a913)))))),f198(f926(f926(x45661,a913),a913)))),f334(f334(f69(x45661),x45662),x45663))
% 164.74/165.08 [4568]E(f334(f334(f215(x45681),f334(f334(f90(a1),f334(f334(f81(f925(a1,a1),a1,x45681,f265(a1,a1)),f226(x45681)),x45682)),f334(f334(f81(f925(a1,a1),a1,x45681,f265(a1,a1)),f226(x45681)),x45683))),f334(f334(f90(a1),f334(f334(f81(f925(a1,a1),a1,x45681,f269(a1,a1)),f226(x45681)),x45682)),f334(f334(f81(f925(a1,a1),a1,x45681,f269(a1,a1)),f226(x45681)),x45683))),f242(x45681,x45682,x45683))
% 164.74/165.08 [4571]E(f334(f254(f920(x45711)),f334(f334(f18(f920(x45711),a913,a913),f334(f334(f8(a913,f926(a913,a913),f920(x45711)),a333),f334(f334(f7(f920(x45711),a919,a913),f334(f334(f8(a919,f926(a919,a913),f920(x45711)),a331),f199(f920(x45711)))),x45712))),f334(f334(f7(f920(x45711),f926(x45711,a913),a913),f334(f334(f8(f926(x45711,a913),f926(f926(x45711,a913),a913),f920(x45711)),f248(f926(x45711,a913))),f182(x45711))),f334(f182(x45711),x45713)))),f334(f182(f920(x45711)),f64(x45711,x45712,x45713)))
% 164.74/165.08 [3973]E(f54(a919,f334(f334(f89(a919),f334(f334(f90(a919),x39731),x39732)),x39733),x39732),f54(a919,x39733,x39732))
% 164.74/165.08 [4018]E(f149(a919,f334(f309(a919,f334(f334(f89(a919),x40181),x40182)),x40183)),f334(f334(f148(a919),x40182),f149(a919,f334(f309(a919,x40181),x40183))))
% 164.74/165.08 [4062]E(f334(f334(f89(a1),f334(f113(a1),x40621)),f334(f334(f89(a1),f334(f113(a1),x40622)),x40623)),f334(f334(f89(a1),f334(f113(a1),f334(f334(f89(a919),x40621),x40622))),x40623))
% 164.74/165.08 [4069]E(f334(f334(f23(f926(x40691,a913)),f334(f334(f23(f926(x40691,a913)),x40692),x40693)),x40693),f334(f334(f23(f926(x40691,a913)),x40692),x40693))
% 164.74/165.08 [4070]E(f334(f334(f123(f926(x40701,a913)),f334(f334(f23(f926(x40701,a913)),x40702),x40703)),x40703),f334(f334(f123(f926(x40701,a913)),x40702),x40703))
% 164.74/165.08 [4091]E(f334(f334(f296(x40911,x40911,x40912),f314(x40911,f198(f926(f925(x40911,x40911),a913)))),x40913),x40913)
% 164.74/165.08 [4099]E(f334(f334(f123(f926(x40991,a913)),f334(f289(x40991),x40992)),f334(f289(x40991),x40993)),f334(f289(x40991),f334(f334(f123(f926(f925(x40991,x40991),a913)),x40992),x40993)))
% 164.74/165.08 [4109]E(f276(x41091,f334(f334(f161(f925(a112,x41091)),f334(f334(f266(a112,x41091),f2(a112)),x41092)),x41093)),f276(x41091,x41093))
% 164.74/165.08 [4112]E(f334(f334(f114(f926(x41121,a913)),f47(f926(x41121,a913),x41122)),f47(f926(x41121,a913),x41123)),f47(f926(x41121,a913),f334(f334(f123(f926(f926(x41121,a913),a913)),x41122),x41123)))
% 164.74/165.08 [4113]E(f334(f334(f123(f926(x41131,a913)),f46(f926(x41131,a913),x41132)),f46(f926(x41131,a913),x41133)),f46(f926(x41131,a913),f334(f334(f123(f926(f926(x41131,a913),a913)),x41132),x41133)))
% 164.74/165.08 [4149]E(f334(f334(f296(x41491,x41491,x41491),f334(f334(f193(f925(x41491,x41491),a913),x41492),x41493)),x41493),f334(f334(f193(f925(x41491,x41491),a913),f334(a125,x41492)),x41493))
% 164.74/165.08 [4195]P107(f334(f334(f248(f926(x41951,a913)),f334(f334(f23(f926(x41951,a913)),x41952),x41953)),x41952))
% 164.74/165.08 [4196]P107(f334(f334(f248(f926(x41961,a913)),f334(f334(f114(f926(x41961,a913)),x41962),x41963)),x41963))
% 164.74/165.08 [4197]P107(f334(f334(f248(f926(x41971,a913)),f334(f334(f114(f926(x41971,a913)),x41972),x41973)),x41972))
% 164.74/165.08 [4221]E(f314(x42211,f334(f334(f123(f926(f925(x42211,x42211),a913)),f314(x42211,x42212)),f314(x42211,x42213))),f314(x42211,f334(f334(f123(f926(f925(x42211,x42211),a913)),x42212),x42213)))
% 164.74/165.08 [4225]E(f46(f926(x42251,a913),f334(f334(f316(f926(x42251,a913)),x42252),f334(f334(f316(f926(x42251,a913)),x42253),f198(f926(f926(x42251,a913),a913))))),f334(f334(f123(f926(x42251,a913)),x42252),x42253))
% 164.74/165.08 [4226]E(f47(f926(x42261,a913),f334(f334(f316(f926(x42261,a913)),x42262),f334(f334(f316(f926(x42261,a913)),x42263),f198(f926(f926(x42261,a913),a913))))),f334(f334(f114(f926(x42261,a913)),x42262),x42263))
% 164.74/165.08 [4231]E(f334(f334(f296(x42311,x42311,x42311),f334(f334(f193(f925(x42311,x42311),a913),x42312),x42313)),x42313),f334(f334(f296(x42311,x42311,x42311),x42313),f334(f334(f193(f925(x42311,x42311),a913),x42312),x42313)))
% 164.74/165.08 [4300]E(f334(f334(f123(f926(x43001,a913)),f334(f254(x43001),f334(f334(f7(x43001,x43001,a913),a331),x43002))),x43003),f334(f334(f316(x43001),x43002),x43003))
% 164.74/165.08 [4302]E(f334(a117,f334(f334(f6(x43021,a1),f334(f334(f8(a919,a1,x43021),f113(a1)),x43022)),x43023)),f334(f334(f6(x43021,a919),x43022),x43023))
% 164.74/165.08 [4303]E(f334(a117,f334(f334(f9(x43031,a1),f334(f334(f8(a919,a1,x43031),f113(a1)),x43032)),x43033)),f334(f334(f9(x43031,a919),x43032),x43033))
% 164.74/165.08 [4377]E(f334(f166(f920(x43771),x43771,f334(f181(x43771),x43772),f334(f16(f926(f920(x43771),f920(x43771)),x43771),f334(f334(f7(f920(x43771),f920(x43771),f920(x43771)),f144(x43771)),x43772))),x43773),f334(f181(x43771),f334(f334(f144(x43771),x43773),x43772)))
% 164.74/165.08 [4405]P107(f334(f334(f248(f926(f926(x44051,a913),a913)),f334(f334(f123(f926(f926(x44051,a913),a913)),f334(f315(x44051),x44052)),f334(f315(x44051),x44053))),f334(f315(x44051),f334(f334(f123(f926(x44051,a913)),x44052),x44053))))
% 164.74/165.08 [4495]E(f334(f254(x44951),f334(f334(f18(x44951,a913,a913),f334(f334(f8(a913,f926(a913,a913),x44951),a333),f334(f334(f7(x44951,f926(x44951,a913),a913),f336(x44951)),x44952))),f334(f334(f8(a913,a913,x44951),a329),f334(f334(f7(x44951,f926(x44951,a913),a913),f336(x44951)),x44953)))),f334(f334(f23(f926(x44951,a913)),x44952),x44953))
% 164.74/165.08 [4519]E(f334(f44(a919),f334(f254(a919),f334(f334(f18(a919,a913,a913),f334(f334(f8(a913,f926(a913,a913),a919),a333),f334(f334(f7(a919,a919,a913),f249(a919)),f334(f199(f920(x45191)),x45192)))),f334(f334(f8(x45191,a913,a919),x45193),f334(f174(x45191),x45192))))),f334(f199(f920(x45191)),f334(f146(x45191,x45193),x45192)))
% 164.74/165.08 [4521]E(f334(f199(f920(x45211)),f186(x45211,x45212,x45213)),f334(f44(a919),f334(f254(a919),f334(f334(f18(a919,a913,a913),f334(f334(f8(a913,f926(a913,a913),a919),a333),f334(f334(f7(a919,a919,a913),f249(a919)),f334(f199(f920(x45211)),x45212)))),f334(f334(f7(a919,f926(a919,a913),a913),f336(a919)),x45213)))))
% 164.74/165.08 [4616]E(f334(f334(f114(f926(f925(f920(x46161),f920(x46161)),a913)),f334(f317(f925(f925(x46161,f920(x46161)),f925(x46161,f920(x46161))),f925(f920(x46161),f920(x46161)),f271(f925(x46161,f920(x46161)),f920(x46161),f925(x46161,f920(x46161)),f920(x46161),f334(f270(x46161,f920(x46161),f920(x46161)),f161(x46161)),f334(f270(x46161,f920(x46161),f920(x46161)),f161(x46161)))),f327(x46161,f920(x46161),x46162,f334(f153(x46161,x46162),x46163)))),f334(f254(f925(f920(x46161),f920(x46161))),f334(f270(f920(x46161),f920(x46161),a913),f334(f334(f7(f920(x46161),f926(f920(x46161),a913),f926(f920(x46161),a913)),f334(f334(f8(f926(a913,a913),f926(f926(f920(x46161),a913),f926(f920(x46161),a913)),f920(x46161)),f8(a913,a913,f920(x46161))),f334(f334(f8(a913,f926(a913,a913),f920(x46161)),a333),f334(f334(f7(f920(x46161),a919,a913),f334(f334(f8(a919,f926(a919,a913),f920(x46161)),a331),f199(f920(x46161)))),f334(a125,x46163))))),f334(f334(f7(f920(x46161),a919,a913),f334(f334(f8(a919,f926(a919,a913),f920(x46161)),a331),f199(f920(x46161)))),f334(a125,x46163)))))),f334(f153(x46161,x46162),f334(a125,x46163)))
% 164.74/165.08 [4114]E(f54(a919,f334(a125,f334(f334(f89(a919),f334(f334(f90(a919),x41141),x41142)),x41143)),x41142),f54(a919,f334(a125,x41143),x41142))
% 164.74/165.08 [4363]E(f334(f254(x43631),f334(f334(f18(x43631,a913,a913),f334(f334(f8(a913,f926(a913,a913),x43631),a332),x43632)),x43633)),f334(f334(f123(f926(x43631,a913)),f334(f254(x43631),x43632)),f334(f254(x43631),x43633)))
% 164.74/165.08 [4364]E(f334(f254(x43641),f334(f334(f18(x43641,a913,a913),f334(f334(f8(a913,f926(a913,a913),x43641),a333),x43642)),x43643)),f334(f334(f114(f926(x43641,a913)),f334(f254(x43641),x43642)),f334(f254(x43641),x43643)))
% 164.74/165.08 [4366]E(f334(f334(f144(x43661),f334(f334(f148(x43661),f54(a919,x43662,f334(f199(f920(x43661)),x43663))),x43663)),f334(f334(f185(x43661),f54(a919,x43662,f334(f199(f920(x43661)),x43663))),x43663)),f334(f334(f334(f193(f920(x43661),f920(x43661)),x43662),f177(x43661)),x43663))
% 164.74/165.08 [4373]E(f334(f254(x43731),f334(f334(f18(x43731,a913,a913),f334(f334(f8(a913,f926(a913,a913),x43731),a337),x43732)),x43733)),f334(f334(f123(f926(x43731,a913)),f334(f88(f926(x43731,a913)),f334(f254(x43731),x43732))),f334(f254(x43731),x43733)))
% 164.74/165.08 [4388]E(f334(f334(f89(a919),f334(f199(f920(x43881)),f334(f146(x43881,x43882),x43883))),f334(f199(f920(x43881)),f334(f146(x43881,f334(f334(f8(a913,a913,x43881),a329),x43882)),x43883))),f334(f199(f920(x43881)),x43883))
% 164.74/165.08 [4411]P107(f334(f334(f248(f926(x44111,a913)),f334(f334(f123(f926(x44111,a913)),f47(f926(x44111,a913),x44112)),f47(f926(x44111,a913),x44113))),f47(f926(x44111,a913),f334(f334(f114(f926(f926(x44111,a913),a913)),x44112),x44113))))
% 164.74/165.08 [4425]E(f334(f182(x44251),f334(f146(x44251,f334(f334(f8(a913,a913,x44251),a329),f334(f334(f7(x44251,x44251,a913),a331),x44252))),x44253)),f334(f334(f23(f926(x44251,a913)),f334(f182(x44251),x44253)),f334(f334(f316(x44251),x44252),f198(f926(x44251,a913)))))
% 164.74/165.08 [4434]P107(f334(f334(f248(f926(f925(x44341,x44341),a913)),f334(f334(f123(f926(f925(x44341,x44341),a913)),f314(x44341,x44342)),f314(x44341,x44343))),f314(x44341,f334(f334(f123(f926(f925(x44341,x44341),a913)),x44342),x44343))))
% 164.74/165.08 [4457]E(f334(f334(f90(a919),f334(a125,f334(a125,f2(a919)))),f334(f334(f6(a919,a919),f334(f334(f8(a919,a919,a919),f334(f89(a919),x44571)),f334(f334(f7(a919,a919,a919),f90(a919)),x44572))),f334(f290(a919),x44573))),f334(f334(f90(a919),x44573),f334(f334(f89(a919),x44571),f334(f334(f89(a919),x44571),f334(f334(f90(a919),f334(f334(f23(a919),x44573),f87(a919))),x44572)))))
% 164.74/165.08 [4467]E(f334(f254(x44671),f334(f334(f18(x44671,a913,a913),f334(f334(f8(a913,f926(a913,a913),x44671),a333),f334(f334(f7(x44671,f926(x44671,a913),a913),f336(x44671)),f334(f182(x44671),x44672)))),x44673)),f334(f182(x44671),f334(f146(x44671,x44673),x44672)))
% 164.74/165.08 [4615]E(f334(f254(x46151),f334(f334(f8(f926(a919,a913),a913,x46151),f96(a919)),f334(f334(f7(x46151,f926(a919,a913),f926(a919,a913)),f334(f334(f8(f926(a919,f926(a913,a913)),f926(f926(a919,a913),f926(a919,a913)),x46151),f18(a919,a913,a913)),f334(f334(f8(f926(a919,a913),f926(a919,f926(a913,a913)),x46151),f334(f8(a913,f926(a913,a913),a919),a333)),f334(f334(f7(x46151,f926(a919,x46151),f926(a919,a913)),f334(f334(f8(f926(x46151,a913),f926(f926(a919,x46151),f926(a919,a913)),x46151),f8(x46151,a913,a919)),a331)),f334(f174(x46151),x46152))))),f334(f334(f18(a919,a913,a913),f334(f334(f8(a913,f926(a913,a913),a919),a333),f334(f334(f7(a919,a919,a913),f249(a919)),f334(f199(f920(x46151)),x46152)))),f334(f334(f7(a919,f926(a919,a913),a913),f336(a919)),x46153))))),f334(f182(x46151),f186(x46151,x46152,x46153)))
% 164.74/165.08 [4508]E(f334(f254(x45081),f334(f334(f18(x45081,a913,a913),f334(f334(f8(a913,f926(a913,a913),x45081),a337),f334(f334(f8(a913,a913,x45081),a329),f334(f334(f7(x45081,x45081,a913),a331),x45082)))),x45083)),f334(f334(f316(x45081),x45082),f334(f254(x45081),x45083)))
% 164.74/165.08 [4540]E(f334(f334(f164(f925(x45401,a919),x45401),f265(x45401,a919)),f334(f146(f925(x45401,a919),f334(f334(f7(f925(x45401,a919),f926(a919,a913),a913),f334(f334(f8(a919,f926(f926(a919,a913),a913),f925(x45401,a919)),f336(a919)),f269(x45401,a919))),x45402)),f334(f334(f191(x45401,a919),x45403),f149(a919,f334(f309(a919,f2(a919)),f334(f199(f920(x45401)),x45403)))))),f186(x45401,x45403,x45402))
% 164.74/165.08 [4567]E(f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f334(f334(f6(a919,a1),f334(f334(f8(a1,a1,a919),f334(f89(a1),x45671)),f334(f334(f7(a919,a1,a1),f334(f334(f8(a1,f926(a1,a1),a919),f90(a1)),f113(a1))),x45672))),f334(f290(a919),x45673))),f334(f334(f90(a1),f334(f113(a1),x45673)),f334(f334(f89(a1),x45671),f334(f334(f89(a1),x45671),f334(f334(f90(a1),f334(f113(a1),f334(f334(f23(a919),x45673),f87(a919)))),x45672)))))
% 164.74/165.08 [4609]E(f334(f254(f925(x46091,x46092)),f334(f270(x46091,x46092,a913),f334(f334(f7(x46091,f926(f925(x46092,x46091),a913),f926(x46092,a913)),f334(f334(f8(f926(x46092,f926(f926(f925(x46092,x46091),a913),a913)),f926(f926(f925(x46092,x46091),a913),f926(x46092,a913)),x46091),f7(x46092,f926(f925(x46092,x46091),a913),a913)),f334(f334(f8(f926(x46092,f925(x46092,x46091)),f926(x46092,f926(f926(f925(x46092,x46091),a913),a913)),x46091),f334(f8(f925(x46092,x46091),f926(f926(f925(x46092,x46091),a913),a913),x46092),f336(f925(x46092,x46091)))),f334(f7(x46092,x46091,f925(x46092,x46091)),f266(x46092,x46091))))),x46093))),f334(f294(x46092,x46091),x46093))
% 164.74/165.08 [4637]E(f334(f254(f920(x46371)),f334(f334(f8(f926(x46371,a913),a913,f920(x46371)),f96(x46371)),f334(f334(f8(f926(x46371,f926(f920(x46371),a913)),f926(x46371,a913),f920(x46371)),f334(f8(f926(f920(x46371),a913),a913,x46371),f96(f920(x46371)))),f334(f334(f7(f920(x46371),f926(x46371,f926(f920(x46371),a913)),f926(x46371,f926(f920(x46371),a913))),f334(f334(f8(f926(x46371,f926(f926(f920(x46371),a913),f926(f920(x46371),a913))),f926(f926(x46371,f926(f920(x46371),a913)),f926(x46371,f926(f920(x46371),a913))),f920(x46371)),f18(x46371,f926(f920(x46371),a913),f926(f920(x46371),a913))),f334(f334(f8(f926(x46371,f926(f920(x46371),f926(a913,a913))),f926(x46371,f926(f926(f920(x46371),a913),f926(f920(x46371),a913))),f920(x46371)),f334(f8(f926(f920(x46371),f926(a913,a913)),f926(f926(f920(x46371),a913),f926(f920(x46371),a913)),x46371),f18(f920(x46371),a913,a913))),f334(f334(f8(f926(x46371,f926(f920(x46371),a913)),f926(x46371,f926(f920(x46371),f926(a913,a913))),f920(x46371)),f334(f8(f926(f920(x46371),a913),f926(f920(x46371),f926(a913,a913)),x46371),f334(f8(a913,f926(a913,a913),f920(x46371)),a333))),f334(f334(f7(f920(x46371),f926(x46371,f926(f920(x46371),f920(x46371))),f926(x46371,f926(f920(x46371),a913))),f334(f334(f8(f926(f926(f920(x46371),f920(x46371)),f926(f920(x46371),a913)),f926(f926(x46371,f926(f920(x46371),f920(x46371))),f926(x46371,f926(f920(x46371),a913))),f920(x46371)),f8(f926(f920(x46371),f920(x46371)),f926(f920(x46371),a913),x46371)),f334(f334(f8(f926(f920(x46371),a913),f926(f926(f920(x46371),f920(x46371)),f926(f920(x46371),a913)),f920(x46371)),f8(f920(x46371),a913,f920(x46371))),a331))),f161(x46371)))))),f334(f334(f7(x46371,f926(f920(x46371),a913),f926(f920(x46371),a913)),f334(f334(f8(f926(a913,a913),f926(f926(f920(x46371),a913),f926(f920(x46371),a913)),x46371),f8(a913,a913,f920(x46371))),f334(f334(f8(a913,f926(a913,a913),x46371),a333),f334(f334(f7(x46371,f926(x46371,a913),a913),f336(x46371)),x46372)))),f334(f334(f7(f920(x46371),f926(f920(x46371),a913),a913),f336(f920(x46371))),x46373)))))),f184(x46371,x46372,x46373))
% 164.74/165.08 [4628]E(f334(f334(f95(a1,f925(a1,a1)),f334(f334(f23(a1),x46281),x46282)),f334(f334(f7(a1,f925(a1,a1),f925(a1,a1)),f334(f334(f18(a1,f925(a1,a1),f926(f925(a1,a1),f925(a1,a1))),f334(f334(f8(a913,f926(f925(a1,a1),f926(f925(a1,a1),f925(a1,a1))),a1),f109(f925(a1,a1))),f334(f248(a1),f2(a1)))),f334(f266(a1,a1),f334(f334(f89(a1),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x46283)),f87(a1))))),f334(f334(f266(a1,a1),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x46283)),x46281))),f334(f52(x46282),f334(f334(f266(a1,a1),x46283),x46281)))
% 164.74/165.08 [4662]~E(f34(x46621,x46622),f28(x46623,x46624))
% 164.74/165.08 [4665]~E(f33(x46651,x46652),f28(x46653,x46654))
% 164.74/165.08 [4666]~E(f33(x46661,x46662),f34(x46663,x46664))
% 164.74/165.08 [3669]E(f129(x36691,f334(x36692,x36693),f334(x36694,x36693)),f334(f217(x36691,x36692,x36694),x36693))
% 164.74/165.08 [3721]E(f334(f334(f259(x37211,x37212,x37213),x37214),f2(a919)),x37212)
% 164.74/165.08 [3735]E(f39(x37351,x37352,x37353,f36(x37354)),f334(x37353,x37354))
% 164.74/165.08 [3736]E(f39(x37361,x37362,x37363,f37(x37364)),f334(x37362,x37364))
% 164.74/165.08 [3737]E(f40(x37371,x37372,x37373,f36(x37374)),f334(x37373,x37374))
% 164.74/165.08 [3738]E(f40(x37381,x37382,x37383,f37(x37384)),f334(x37382,x37384))
% 164.74/165.08 [3765]E(f195(x37651,x37652,x37653,f334(a125,x37654)),f334(x37653,x37654))
% 164.74/165.08 [3807]E(f180(x38071,x38072,f180(x38071,x38073,x38074)),f180(x38071,x38073,f180(x38071,x38072,x38074)))
% 164.74/165.08 [3808]E(f138(x38081,x38082,f129(x38081,x38083,x38084)),f129(x38081,f138(x38081,x38082,x38083),x38084))
% 164.74/165.08 [3941]E(f334(f166(x39411,x39412,x39413,x39414),f126(x39412)),x39413)
% 164.74/165.08 [3942]E(f334(f152(x39421,x39422,x39423,x39424),f126(x39422)),x39424)
% 164.74/165.08 [3979]E(f334(f199(f924(x39791,x39792)),f234(x39791,x39792,x39793,x39794)),f2(a919))
% 164.74/165.08 [4047]E(f334(f334(f144(x40471),f179(x40471,x40472,x40473)),f179(x40471,x40474,x40473)),f334(f334(f144(x40471),f179(x40471,x40474,x40473)),f179(x40471,x40472,x40473)))
% 164.74/165.08 [4133]E(f334(f334(f272(x41331,x41332,x41333,f925(x41332,x41333)),x41334),f266(x41332,x41333)),x41334)
% 164.74/165.08 [4148]E(f83(x41481,x41482,x41483,x41484,f334(x41483,x41484)),x41483)
% 164.74/165.08 [4418]P44(x44181,x44182,x44183,x44184,f198(f926(x44181,a913)),x44184)
% 164.74/165.08 [3474]E(f334(f334(f16(x34741,x34742),x34743),x34744),x34743)
% 164.74/165.08 [3755]E(f180(x37551,x37552,f334(f146(x37551,x37553),x37554)),f334(f146(x37551,x37553),f180(x37551,x37552,x37554)))
% 164.74/165.08 [3790]E(f334(f334(f73(x37901,x37902,x37903),x37904),f198(f926(x37901,a913))),x37904)
% 164.74/165.08 [3814]E(f334(f334(f174(x38141),f334(f334(f161(x38141),x38142),x38143)),f334(a125,x38144)),f334(f334(f174(x38141),x38143),x38144))
% 164.74/165.08 [3881]E(f334(f334(x38811,x38812),f334(f194(x38813,x38814,x38811),x38812)),f334(f194(x38813,x38814,x38811),f334(a125,x38812)))
% 164.74/165.08 [3977]E(f334(f334(f169(x39771,f334(f334(f161(x39771),x39772),x39773)),f2(a919)),x39774),f334(f334(f161(x39771),x39774),x39773))
% 164.74/165.08 [3989]E(f334(f334(f48(f926(x39891,a913),f926(x39892,a913)),x39893),f317(x39891,x39892,x39894)),f334(f317(x39891,x39892,x39894),f46(f926(x39891,a913),x39893)))
% 164.74/165.08 [3990]E(f334(f334(f48(f926(x39901,a913),f926(x39902,a913)),x39903),f318(x39902,x39901,x39904)),f334(f318(x39902,x39901,x39904),f46(f926(x39901,a913),x39903)))
% 164.74/165.08 [4088]E(f334(f137(x40881,x40882),f138(x40881,x40883,x40884)),f334(f334(f89(a919),f334(f334(f89(a919),f334(x40882,x40883)),f334(f137(x40881,x40882),x40884))),f334(a125,f2(a919))))
% 164.74/165.08 [4108]E(f334(f152(x41081,x41082,f334(f7(x41082,x41081,x41081),x41083),x41084),f334(f178(x41082),f126(x41082))),x41084)
% 164.74/165.08 [4146]P107(f334(f334(f334(f334(a206,f28(x41461,x41462)),x41463),x41464),f334(f334(f334(a207,x41463),x41461),f334(x41462,x41463))))
% 164.74/165.08 [4154]E(f85(x41541,x41542,x41543,x41544,f198(f926(x41541,a913))),x41543)
% 164.74/165.08 [4215]E(f237(x42151,f925(x42152,f921(x42152)),x42153,f334(f270(x42152,f921(x42152),x42151),x42154),f334(f145(x42152),f132(x42152))),x42153)
% 164.74/165.08 [4348]E(f334(f270(x43481,x43482,x43483),f334(f334(f8(f926(x43482,f925(x43481,x43482)),f926(x43482,x43483),x43481),f334(f8(f925(x43481,x43482),x43483,x43482),x43484)),f266(x43481,x43482))),x43484)
% 164.74/165.08 [3660]E(f334(f269(x36601,x36602),f334(f334(f266(x36601,x36602),x36603),x36604)),x36604)
% 164.74/165.08 [3661]E(f334(f265(x36611,x36612),f334(f334(f266(x36611,x36612),x36613),x36614)),x36613)
% 164.74/165.08 [3694]E(f334(f199(f920(x36941)),f334(f334(f169(x36941,x36942),x36943),x36944)),f334(f199(f920(x36941)),x36942))
% 164.74/165.08 [3695]E(f334(f199(f920(x36951)),f334(f334(f164(x36952,x36951),x36953),x36954)),f334(f199(f920(x36952)),x36954))
% 164.74/165.08 [3716]E(f334(f334(f148(x37161),f334(a125,x37162)),f334(f334(f161(x37161),x37163),x37164)),f334(f334(f148(x37161),x37162),x37164))
% 164.74/165.08 [3785]E(f334(f334(f185(x37851),x37852),f179(x37851,x37853,x37854)),f179(x37851,f334(f334(f246(a919),x37852),x37853),x37854))
% 164.74/165.08 [3786]E(f334(f334(f148(x37861),x37862),f179(x37861,x37863,x37864)),f179(x37861,f334(f334(f23(a919),x37863),x37862),x37864))
% 164.74/165.08 [3792]E(f334(f334(f316(x37921),x37922),f334(f334(f316(x37921),x37923),x37924)),f334(f334(f316(x37921),x37923),f334(f334(f316(x37921),x37922),x37924)))
% 164.74/165.08 [3796]E(f334(f334(f164(x37961,x37962),x37963),f127(x37961,x37964)),f127(x37962,f334(f334(f164(x37961,x37962),x37963),x37964)))
% 164.74/165.08 [3812]E(f334(f178(x38121),f334(f334(f164(x38122,x38121),x38123),x38124)),f334(f334(f164(x38122,x38121),x38123),f334(f178(x38122),x38124)))
% 164.74/165.08 [3813]E(f334(f334(f164(x38131,x38132),x38133),f334(f181(x38131),x38134)),f334(f181(x38132),f334(f334(f164(x38131,x38132),x38133),x38134)))
% 164.74/165.08 [3827]E(f334(f334(f185(x38271),f334(a125,x38272)),f334(f334(f161(x38271),x38273),x38274)),f334(f334(f161(x38271),x38273),f334(f334(f185(x38271),x38272),x38274)))
% 164.74/165.08 [3831]E(f334(f182(x38311),f334(f334(f164(x38312,x38311),x38313),x38314)),f334(f317(x38312,x38311,x38313),f334(f182(x38312),x38314)))
% 164.74/165.08 [3844]E(f334(f334(f164(x38441,x38442),f334(f16(x38442,x38441),x38443)),x38444),f179(x38442,f334(f199(f920(x38441)),x38444),x38443))
% 164.74/165.08 [3880]E(f17(x38801,x38802,x38803,f334(a3,f334(a125,f334(a20,x38804)))),f334(x38803,x38804))
% 164.74/165.08 [3884]E(f334(f334(f144(x38841),f334(f146(x38841,x38842),x38843)),f334(f146(x38841,x38842),x38844)),f334(f146(x38841,x38842),f334(f334(f144(x38841),x38843),x38844)))
% 164.74/165.08 [3897]E(f162(x38971,f334(f334(f164(x38972,x38971),x38973),f162(x38972,x38974))),f162(x38971,f334(f334(f164(x38972,x38971),x38973),x38974)))
% 164.74/165.08 [3912]E(f334(f294(x39121,x39121),f334(f334(f295(x39122,x39121),x39123),x39124)),f334(f334(f295(x39122,x39121),f334(f294(x39122,x39122),x39123)),x39124))
% 164.74/165.08 [3923]E(f334(f334(f296(x39231,x39232,x39233),x39234),f198(f926(f925(x39232,x39233),a913))),f198(f926(f925(x39231,x39233),a913)))
% 164.74/165.08 [3924]E(f334(f334(f185(x39241),f334(f334(f23(a919),x39242),x39243)),f334(f334(f148(x39241),x39243),x39244)),f334(f334(f148(x39241),x39243),f334(f334(f185(x39241),x39242),x39244)))
% 164.74/165.08 [3943]E(f334(f334(f144(x39431),f179(x39431,x39432,x39433)),f179(x39431,x39434,x39433)),f179(x39431,f334(f334(f89(a919),x39432),x39434),x39433))
% 164.74/165.08 [3944]E(f334(f334(f334(f286(x39441),x39442),x39443),x39444),f334(f266(f926(a112,f926(a913,f923(f921(x39441)))),f925(a112,a112)),f334(f51(x39441),x39442)))
% 164.74/165.08 [3970]E(f47(f926(x39701,a913),f334(f317(x39702,f926(x39701,a913),x39703),x39704)),f334(f334(f49(x39702,f926(x39701,a913)),x39704),x39703))
% 164.74/165.08 [3971]E(f46(f926(x39711,a913),f334(f317(x39712,f926(x39711,a913),x39713),x39714)),f334(f334(f48(x39712,f926(x39711,a913)),x39714),x39713))
% 164.74/165.08 [3972]E(f334(f199(f920(f925(x39721,x39722))),f334(f334(f191(x39721,x39722),x39723),x39724)),f334(f334(f246(a919),f334(f199(f920(x39721)),x39723)),f334(f199(f920(x39722)),x39724)))
% 164.74/165.08 [3974]E(f334(f318(x39741,x39742,x39743),f334(f88(f926(x39742,a913)),x39744)),f334(f88(f926(x39741,a913)),f334(f318(x39741,x39742,x39743),x39744)))
% 164.74/165.08 [4024]E(f334(f318(x40241,x40242,x40243),f334(f254(x40242),x40244)),f334(f254(x40241),f334(f334(f8(x40242,a913,x40241),x40244),x40243)))
% 164.74/165.08 [4042]E(f334(f334(f174(x40421),f334(f334(f144(x40421),x40422),f334(f334(f161(x40421),x40423),x40424))),f334(f199(f920(x40421)),x40422)),x40423)
% 164.74/165.08 [4067]E(f334(f317(x40671,x40672,x40673),f334(f318(x40671,x40672,x40673),x40674)),f334(f334(f114(f926(x40672,a913)),x40674),f334(f317(x40671,x40672,x40673),f256(f926(x40671,a913)))))
% 164.74/165.08 [4084]P107(f334(f334(f336(x40841),f334(x40842,x40843)),f334(f317(x40844,x40841,x40842),f256(f926(x40844,a913)))))
% 164.74/165.08 [4092]E(f19(x40921,x40922,x40923,f334(a3,f334(a125,f334(a20,x40924)))),f334(f334(x40923,x40924),f19(x40921,x40922,x40923,x40924)))
% 164.74/165.08 [4096]E(f334(f334(f144(x40961),f179(x40961,x40962,x40963)),f334(f334(f161(x40961),x40963),x40964)),f334(f334(f161(x40961),x40963),f334(f334(f144(x40961),f179(x40961,x40962,x40963)),x40964)))
% 164.74/165.08 [4098]E(f334(f334(f268(x40981,x40982),f334(f182(x40981),x40983)),f334(f16(f926(x40982,a913),x40981),f334(f182(x40982),x40984))),f334(f182(f925(x40981,x40982)),f68(x40981,x40982,x40983,x40984)))
% 164.74/165.08 [4111]E(f165(x41111,x41112,f334(f334(f161(x41111),x41113),x41114)),f334(f334(f89(a919),f334(f334(f89(a919),f334(x41112,x41113)),f165(x41111,x41112,x41114))),f334(a125,f2(a919))))
% 164.74/165.08 [4124]E(f195(f920(x41241),f334(f334(f161(x41241),x41242),x41243),f334(f334(f7(a919,f920(x41241),f920(x41241)),f148(x41241)),x41243),x41244),f334(f334(f148(x41241),x41244),f334(f334(f161(x41241),x41242),x41243)))
% 164.74/165.08 [4125]P23(x41251,f925(x41252,x41251),f338(x41253,x41254,x41252,x41251),f334(f334(f48(x41252,f926(x41251,a913)),x41254),x41253))
% 164.74/165.08 [4134]E(f334(f334(f23(f926(x41341,a913)),f334(f334(f23(f926(x41341,a913)),x41342),x41343)),f334(f334(f316(x41341),x41344),f198(f926(x41341,a913)))),f334(f334(f23(f926(x41341,a913)),x41342),f334(f334(f316(x41341),x41344),x41343)))
% 164.74/165.08 [4144]E(f334(f334(f193(f926(x41441,x41442),f926(x41441,x41442)),x41443),f81(x41442,x41442,x41441,x41444)),f81(x41442,x41442,x41441,f334(f334(f193(x41442,x41442),x41443),x41444)))
% 164.74/165.08 [4220]E(f334(f334(f334(f193(f920(x42201),f920(x42201)),x42202),f177(x42201)),f334(f334(f334(f193(f920(x42201),f920(x42201)),x42203),f177(x42201)),x42204)),f334(f334(f334(f193(f920(x42201),f920(x42201)),f334(f334(f89(a919),x42202),x42203)),f177(x42201)),x42204))
% 164.74/165.08 [4305]P107(f334(f334(f248(f926(x43051,a913)),f334(f182(x43051),f334(f334(f169(x43051,x43052),x43053),x43054))),f334(f334(f316(x43051),x43054),f334(f182(x43051),x43052))))
% 164.74/165.08 [4338]E(f334(f334(f48(f926(x43381,a913),f926(f925(x43381,x43382),a913)),x43383),f334(f334(f7(f926(x43381,a913),f926(x43381,f926(x43382,a913)),f926(f925(x43381,x43382),a913)),f268(x43381,x43382)),x43384)),f334(f334(f268(x43381,x43382),f46(f926(x43381,a913),x43383)),x43384))
% 164.74/165.08 [4368]P22(x43681,x43682,f334(f334(f316(f918(x43681)),f334(f334(f334(f100(x43681),x43683),x43684),f334(f16(f926(a914,a913),x43681),f334(f16(a913,a914),a197)))),f198(f926(f918(x43681),a913))))
% 164.74/165.08 [4376]E(f223(x43761,x43762,x43763,f334(f81(x43762,f926(a112,f926(a112,f926(f925(a112,a112),f926(a112,f921(x43762))))),x43761,f222(x43762)),x43764)),f224(x43761,x43762,x43764,x43763))
% 164.74/165.08 [4391]E(f219(x43911,x43912,x43913,f334(f81(x43912,f926(a112,f926(a112,f926(f925(a112,a112),f926(a112,f921(f923(x43912)))))),x43911,f218(x43912)),x43914)),f220(x43911,x43912,x43914,x43913))
% 164.74/165.08 [4396]P107(f334(f75(x43961,x43962,x43963,x43964,f198(f926(x43961,a913))),x43964))
% 164.74/165.08 [4435]E(f334(f334(f48(x44351,f926(x44352,a913)),x44353),f334(f334(f7(x44351,f926(x44352,a913),f926(x44352,a913)),f334(f334(f8(x44352,f926(f926(x44352,a913),f926(x44352,a913)),x44351),f316(x44352)),x44354)),f198(f926(x44352,a913)))),f334(f317(x44351,x44352,x44354),x44353))
% 164.74/165.08 [4442]P107(f334(f334(f248(f926(x44421,a913)),f334(f292(x44422,x44421),f334(f334(f114(f926(f925(x44422,x44421),a913)),x44423),x44424))),f334(f334(f114(f926(x44421,a913)),f334(f292(x44422,x44421),x44423)),f334(f292(x44422,x44421),x44424))))
% 164.74/165.08 [4443]P107(f334(f334(f248(f926(x44431,a913)),f334(f264(x44431,x44432),f334(f334(f114(f926(f925(x44431,x44432),a913)),x44433),x44434))),f334(f334(f114(f926(x44431,a913)),f334(f264(x44431,x44432),x44433)),f334(f264(x44431,x44432),x44434))))
% 164.74/165.08 [4477]P22(x44771,x44772,f334(f334(f316(f918(x44771)),f334(f334(f334(f100(x44771),f334(f16(f926(a914,a913),x44771),f334(f16(a913,a914),a252))),x44773),x44774)),f198(f926(f918(x44771),a913))))
% 164.74/165.08 [4504]P107(f334(f334(f248(f926(f925(x45041,x45042),a913)),f334(f317(x45042,f925(x45041,x45042),f338(x45043,x45044,x45041,x45042)),f334(f334(f48(x45041,f926(x45042,a913)),x45044),x45043))),f334(f334(f268(x45041,x45042),x45044),x45043)))
% 164.74/165.08 [4505]E(f334(f131(x45051,f925(x45051,x45052),x45053),f334(f334(f8(f926(x45052,f921(f925(x45051,x45052))),f921(f925(x45051,x45052)),x45051),f131(x45052,f925(x45051,x45052),x45054)),f334(f334(f8(f926(x45052,f925(x45051,x45052)),f926(x45052,f921(f925(x45051,x45052))),x45051),f334(f8(f925(x45051,x45052),f921(f925(x45051,x45052)),x45052),f140(f925(x45051,x45052)))),f266(x45051,x45052)))),f141(x45051,x45052,x45053,x45054))
% 164.74/165.08 [4506]E(f284(x45061,x45062,x45063,f334(f81(x45062,f926(a112,f926(a112,f926(f925(a112,a112),f925(f926(a112,f926(a913,f923(f921(x45062)))),f925(a112,a112))))),x45061,f286(x45062)),x45064)),f287(x45061,x45062,x45064,x45063))
% 164.74/165.08 [4546]E(f94(f925(x45461,x45462),f334(f270(x45461,x45462,a913),f334(f334(f7(x45461,f926(x45462,a913),f926(x45462,a913)),f334(f334(f8(f926(a913,a913),f926(f926(x45462,a913),f926(x45462,a913)),x45461),f8(a913,a913,x45462)),f334(f334(f8(a913,f926(a913,a913),x45461),a333),f334(a331,x45463)))),f334(a331,x45464)))),f334(f334(f266(x45461,x45462),x45463),x45464))
% 164.74/165.08 [4547]E(f99(f925(x45471,x45472),f334(f270(x45471,x45472,a913),f334(f334(f7(x45471,f926(x45472,a913),f926(x45472,a913)),f334(f334(f8(f926(a913,a913),f926(f926(x45472,a913),f926(x45472,a913)),x45471),f8(a913,a913,x45472)),f334(f334(f8(a913,f926(a913,a913),x45471),a333),f334(a331,x45473)))),f334(a331,x45474)))),f334(f334(f266(x45471,x45472),x45473),x45474))
% 164.74/165.08 [4619]E(f334(f334(f270(f920(x46191),f920(x46191),f925(f920(x46191),f920(x46191))),f334(f334(f18(f920(x46191),f926(f920(x46191),f925(f920(x46191),f920(x46191))),f926(f920(x46191),f925(f920(x46191),f920(x46191)))),f334(f334(f8(f926(f920(x46191),f926(f925(f920(x46191),f920(x46191)),f925(f920(x46191),f920(x46191)))),f926(f926(f920(x46191),f925(f920(x46191),f920(x46191))),f926(f920(x46191),f925(f920(x46191),f920(x46191)))),f920(x46191)),f18(f920(x46191),f925(f920(x46191),f920(x46191)),f925(f920(x46191),f920(x46191)))),f334(f334(f8(f926(f920(x46191),f925(f920(x46191),f920(x46191))),f926(f920(x46191),f926(f925(f920(x46191),f920(x46191)),f925(f920(x46191),f920(x46191)))),f920(x46191)),f334(f8(f925(f920(x46191),f920(x46191)),f926(f925(f920(x46191),f920(x46191)),f925(f920(x46191),f920(x46191))),f920(x46191)),f334(f109(f925(f920(x46191),f920(x46191))),f334(x46192,x46193)))),f334(f334(f8(f920(x46191),f926(f920(x46191),f925(f920(x46191),f920(x46191))),f920(x46191)),f266(f920(x46191),f920(x46191))),f334(f161(x46191),x46193))))),f334(f334(f7(f920(x46191),f926(f920(x46191),f920(x46191)),f926(f920(x46191),f925(f920(x46191),f920(x46191)))),f334(f334(f8(f926(f920(x46191),f925(f920(x46191),f920(x46191))),f926(f926(f920(x46191),f920(x46191)),f926(f920(x46191),f925(f920(x46191),f920(x46191)))),f920(x46191)),f8(f920(x46191),f925(f920(x46191),f920(x46191)),f920(x46191))),f266(f920(x46191),f920(x46191)))),f334(f161(x46191),x46193)))),f176(x46191,x46192,x46194)),f176(x46191,x46192,f334(f334(f161(x46191),x46193),x46194)))
% 164.74/165.08 [3733]E(f334(f199(f918(x37331)),f334(f334(f334(f100(x37331),x37332),x37333),x37334)),f2(a919))
% 164.74/165.08 [3860]E(f334(f334(f185(x38601),x38602),f334(f334(f185(x38601),x38603),x38604)),f334(f334(f185(x38601),f334(f334(f246(a919),x38602),x38603)),x38604))
% 164.74/165.08 [3861]E(f334(f334(f148(x38611),x38612),f334(f334(f148(x38611),x38613),x38614)),f334(f334(f148(x38611),f334(f334(f89(a919),x38612),x38613)),x38614))
% 164.74/165.08 [3872]E(f334(f334(f144(x38721),f334(f334(f161(x38721),x38722),x38723)),x38724),f334(f334(f161(x38721),x38722),f334(f334(f144(x38721),x38723),x38724)))
% 164.74/165.08 [3873]E(f334(f334(f144(x38731),f334(f334(f144(x38731),x38732),x38733)),x38734),f334(f334(f144(x38731),x38732),f334(f334(f144(x38731),x38733),x38734)))
% 164.74/165.08 [3954]E(f334(f334(f174(x39541),f334(f334(f161(x39541),x39542),x39543)),x39544),f195(x39541,x39542,f334(f174(x39541),x39543),x39544))
% 164.74/165.08 [3963]E(f334(f334(f193(x39631,x39631),x39632),f334(f334(f193(x39631,x39631),x39633),x39634)),f334(f334(f193(x39631,x39631),f334(f334(f90(a919),x39633),x39632)),x39634))
% 164.74/165.08 [3992]E(f334(f334(f123(f926(x39921,a913)),x39922),f334(f334(f316(x39921),x39923),x39924)),f334(f334(f316(x39921),x39923),f334(f334(f123(f926(x39921,a913)),x39922),x39924)))
% 164.74/165.08 [4006]E(f334(f334(f334(f193(x40061,x40061),x40062),x40063),f334(x40063,x40064)),f334(x40063,f334(f334(f334(f193(x40061,x40061),x40062),x40063),x40064)))
% 164.74/165.08 [4014]E(f334(f334(f296(x40141,x40142,x40143),f198(f926(f925(x40141,x40142),a913))),x40144),f198(f926(f925(x40141,x40143),a913)))
% 164.74/165.08 [4030]E(f334(f334(f123(f926(x40301,a913)),f334(f334(f316(x40301),x40302),x40303)),x40304),f334(f334(f316(x40301),x40302),f334(f334(f123(f926(x40301,a913)),x40303),x40304)))
% 164.74/165.08 [4049]E(f334(f44(f925(x40491,x40492)),f334(f334(f268(x40491,x40492),x40493),f334(f16(f926(x40492,a913),x40491),x40494))),f334(f334(f90(a919),f334(f44(x40491),x40493)),f334(f44(x40492),x40494)))
% 164.74/165.08 [4058]E(f334(f334(f114(f926(x40581,a913)),f334(f334(f316(x40581),x40582),x40583)),f334(f334(f316(x40581),x40582),x40584)),f334(f334(f316(x40581),x40582),f334(f334(f114(f926(x40581,a913)),x40583),x40584)))
% 164.74/165.08 [4071]E(f334(f334(f123(f926(x40711,a913)),x40712),f334(f334(f123(f926(x40711,a913)),x40713),x40714)),f334(f334(f123(f926(x40711,a913)),x40713),f334(f334(f123(f926(x40711,a913)),x40712),x40714)))
% 164.74/165.08 [4072]E(f334(f334(f114(f926(x40721,a913)),x40722),f334(f334(f114(f926(x40721,a913)),x40723),x40724)),f334(f334(f114(f926(x40721,a913)),x40723),f334(f334(f114(f926(x40721,a913)),x40722),x40724)))
% 164.74/165.08 [4080]E(f73(x40801,x40802,f334(f334(f8(x40802,f926(x40802,x40802),x40801),x40803),x40804)),f334(f74(x40802,x40801,x40803),x40804))
% 164.74/165.08 [4089]E(f189(x40891,f334(f334(f164(f920(x40892),f920(x40891)),f334(f164(x40892,x40891),x40893)),x40894)),f334(f334(f164(f920(x40892),f920(x40891)),f334(f164(x40892,x40891),x40893)),f189(x40892,x40894)))
% 164.74/165.08 [4107]E(f334(f152(f920(x41071),f920(x41071),f144(x41071),f126(x41071)),f334(f334(f164(x41072,f920(x41071)),x41073),x41074)),f173(x41072,x41071,x41073,x41074))
% 164.74/165.08 [4167]E(f334(f81(x41671,x41671,x41671,f334(f334(f193(x41671,x41671),x41672),x41673)),f334(f334(f193(x41671,x41671),x41674),x41673)),f334(f334(f193(x41671,x41671),f334(f334(f89(a919),x41672),x41674)),x41673))
% 164.74/165.08 [4190]E(f334(f334(f114(f926(x41901,a913)),f334(f334(f23(f926(x41901,a913)),x41902),x41903)),f334(f334(f23(f926(x41901,a913)),x41902),x41904)),f334(f334(f23(f926(x41901,a913)),x41902),f334(f334(f123(f926(x41901,a913)),x41903),x41904)))
% 164.74/165.08 [4191]E(f334(f334(f123(f926(x41911,a913)),f334(f334(f23(f926(x41911,a913)),x41912),x41913)),f334(f334(f23(f926(x41911,a913)),x41912),x41914)),f334(f334(f23(f926(x41911,a913)),x41912),f334(f334(f114(f926(x41911,a913)),x41913),x41914)))
% 164.74/165.08 [4192]E(f334(f334(f114(f926(x41921,a913)),f334(f334(f123(f926(x41921,a913)),x41922),x41923)),f334(f334(f123(f926(x41921,a913)),x41922),x41924)),f334(f334(f123(f926(x41921,a913)),x41922),f334(f334(f114(f926(x41921,a913)),x41923),x41924)))
% 164.74/165.08 [4193]E(f334(f334(f23(f926(x41931,a913)),f334(f334(f114(f926(x41931,a913)),x41932),x41933)),f334(f334(f114(f926(x41931,a913)),x41932),x41934)),f334(f334(f114(f926(x41931,a913)),x41932),f334(f334(f23(f926(x41931,a913)),x41933),x41934)))
% 164.74/165.08 [4194]E(f334(f334(f123(f926(x41941,a913)),f334(f334(f114(f926(x41941,a913)),x41942),x41943)),f334(f334(f114(f926(x41941,a913)),x41942),x41944)),f334(f334(f114(f926(x41941,a913)),x41942),f334(f334(f123(f926(x41941,a913)),x41943),x41944)))
% 164.74/165.08 [4199]E(f334(f44(f925(x41991,x41992)),f334(f334(f268(x41991,x41992),f334(f334(f316(x41991),x41993),f198(f926(x41991,a913)))),f334(f16(f926(x41992,a913),x41991),x41994))),f334(f44(x41992),x41994))
% 164.74/165.08 [4234]E(f334(f334(f49(x42341,f926(x42342,a913)),x42343),f334(f334(f8(f926(x42342,a913),f926(x42342,a913),x42341),f88(f926(x42342,a913))),x42344)),f334(f88(f926(x42342,a913)),f334(f334(f48(x42341,f926(x42342,a913)),x42343),x42344)))
% 164.74/165.08 [4235]E(f334(f334(f48(x42351,f926(x42352,a913)),x42353),f334(f334(f8(f926(x42352,a913),f926(x42352,a913),x42351),f88(f926(x42352,a913))),x42354)),f334(f88(f926(x42352,a913)),f334(f334(f49(x42351,f926(x42352,a913)),x42353),x42354)))
% 164.74/165.08 [4251]E(f334(f334(f296(x42511,x42511,x42511),f334(f334(f193(f925(x42511,x42511),a913),x42512),x42513)),f334(f334(f193(f925(x42511,x42511),a913),x42514),x42513)),f334(f334(f193(f925(x42511,x42511),a913),f334(f334(f89(a919),x42512),x42514)),x42513))
% 164.74/165.08 [4281]E(f334(f334(f49(x42811,f926(f926(x42812,a913),a913)),x42813),f334(f334(f8(f926(x42812,a913),f926(f926(x42812,a913),a913),x42811),f315(x42812)),x42814)),f334(f315(x42812),f334(f334(f49(x42811,f926(x42812,a913)),x42813),x42814)))
% 164.74/165.08 [4310]E(f334(f334(f48(f926(x43101,a913),f926(x43102,a913)),x43103),f334(f334(f7(f926(x43101,a913),f926(x43101,f926(x43102,a913)),f926(x43102,a913)),f48(x43101,f926(x43102,a913))),x43104)),f334(f334(f48(x43101,f926(x43102,a913)),f46(f926(x43101,a913),x43103)),x43104))
% 164.74/165.08 [4311]E(f334(f334(f49(f926(x43111,a913),f926(x43112,a913)),x43113),f334(f334(f7(f926(x43111,a913),f926(x43111,f926(x43112,a913)),f926(x43112,a913)),f49(x43111,f926(x43112,a913))),x43114)),f334(f334(f49(x43111,f926(x43112,a913)),f46(f926(x43111,a913),x43113)),x43114))
% 164.74/165.08 [4316]E(f334(f334(f164(x43161,x43162),x43163),f334(f152(f920(x43161),f920(x43161),f144(x43161),f126(x43161)),x43164)),f334(f152(f920(x43162),f920(x43162),f144(x43162),f126(x43162)),f334(f334(f164(f920(x43161),f920(x43162)),f334(f164(x43161,x43162),x43163)),x43164)))
% 164.74/165.08 [4319]E(f195(f920(x43191),f126(x43191),f334(f334(f8(f920(x43191),f920(x43191),a919),f334(f161(x43191),x43192)),f334(f334(f7(a919,f920(x43191),f920(x43191)),f185(x43191)),x43193)),x43194),f334(f334(f185(x43191),x43194),f334(f334(f161(x43191),x43192),x43193)))
% 164.74/165.08 [4357]P107(f334(f334(f248(f926(x43571,a913)),f334(f317(x43572,x43571,x43573),f334(f318(x43572,x43571,x43573),x43574))),x43574))
% 164.74/165.08 [4359]E(f334(f317(f925(x43591,x43592),f925(x43592,x43591),f334(f270(x43591,x43592,f925(x43592,x43591)),f334(f7(x43592,x43591,f925(x43592,x43591)),f266(x43592,x43591)))),f334(f334(f268(x43591,x43592),x43593),f334(f16(f926(x43592,a913),x43591),x43594))),f334(f334(f268(x43592,x43591),x43594),f334(f16(f926(x43591,a913),x43592),x43593)))
% 164.74/165.08 [4369]E(f334(f334(f48(x43691,f926(x43692,a913)),x43693),f334(f334(f8(f926(x43691,a913),f926(x43692,a913),x43691),f293(x43691,x43692,x43694)),f334(f334(f7(x43691,f926(x43691,a913),f926(x43691,a913)),f316(x43691)),f198(f926(x43691,a913))))),f334(f293(x43691,x43692,x43694),x43693))
% 164.74/165.08 [4370]E(f334(f334(f48(x43701,f926(x43702,a913)),x43703),f334(f334(f8(f926(x43701,a913),f926(x43702,a913),x43701),f318(x43702,x43701,x43704)),f334(f334(f7(x43701,f926(x43701,a913),f926(x43701,a913)),f316(x43701)),f198(f926(x43701,a913))))),f334(f318(x43702,x43701,x43704),x43703))
% 164.74/165.08 [4456]E(f334(f334(f123(f926(x44561,a913)),f334(f334(f123(f926(x44561,a913)),f334(f334(f114(f926(x44561,a913)),x44562),x44563)),f334(f334(f114(f926(x44561,a913)),x44563),x44564))),f334(f334(f114(f926(x44561,a913)),x44564),x44562)),f334(f334(f114(f926(x44561,a913)),f334(f334(f114(f926(x44561,a913)),f334(f334(f123(f926(x44561,a913)),x44562),x44563)),f334(f334(f123(f926(x44561,a913)),x44563),x44564))),f334(f334(f123(f926(x44561,a913)),x44564),x44562)))
% 164.74/165.08 [4520]E(f334(f152(f920(x45201),f920(x45201),f144(x45201),f126(x45201)),f334(f334(f164(x45202,f920(x45201)),f334(f334(f7(x45202,f920(x45201),f920(x45201)),f334(f334(f8(x45201,f926(f920(x45201),f920(x45201)),x45202),f161(x45201)),x45203)),f126(x45201))),x45204)),f334(f334(f164(x45202,x45201),x45203),x45204))
% 164.74/165.08 [4530]E(f334(f334(f95(a1,x45301),f334(f116(a1),f334(f334(f89(a1),x45302),a110))),f334(f334(f18(a1,x45301,x45301),f334(f334(f7(a1,x45301,f926(x45301,x45301)),f334(f334(f8(a913,f926(x45301,f926(x45301,x45301)),a1),f109(x45301)),a203)),x45303)),f334(f334(f8(a919,x45301,a1),x45304),a117))),f195(x45301,x45303,x45304,f334(f116(a919),x45302)))
% 164.74/165.08 [4561]E(f334(f254(x45611),f334(f334(f8(f926(x45612,a913),a913,x45611),f96(x45612)),f334(f334(f8(f926(x45612,a913),f926(x45612,a913),x45611),f334(f18(x45612,a913,a913),f334(f334(f8(a913,f926(a913,a913),x45612),a333),f334(f334(f7(x45612,f926(x45612,a913),a913),f336(x45612)),x45613)))),f334(f7(x45612,x45611,a913),x45614)))),f334(f293(x45612,x45611,f334(f254(f925(x45612,x45611)),f334(f270(x45612,x45611,a913),x45614))),x45613))
% 164.74/165.08 [4736]~P107(f334(f334(f198(f926(x47361,f926(x47362,a913))),x47363),x47364))
% 164.74/165.08 [4017]E(f334(f334(f174(x40171),f334(f334(f144(x40171),x40172),x40173)),f334(f334(f89(a919),f334(f199(f920(x40171)),x40172)),x40174)),f334(f334(f174(x40171),x40173),x40174))
% 164.74/165.08 [4023]E(f334(f334(f148(x40231),x40232),f334(f334(f185(x40231),f334(f334(f89(a919),x40233),x40232)),x40234)),f334(f334(f185(x40231),x40233),f334(f334(f148(x40231),x40232),x40234)))
% 164.74/165.08 [4122]E(f334(f334(f123(f926(x41221,a913)),f334(f292(x41222,x41221),x41223)),f334(f292(x41222,x41221),x41224)),f334(f292(x41222,x41221),f334(f334(f123(f926(f925(x41222,x41221),a913)),x41223),x41224)))
% 164.74/165.08 [4123]E(f334(f334(f123(f926(x41231,a913)),f334(f264(x41231,x41232),x41233)),f334(f264(x41231,x41232),x41234)),f334(f264(x41231,x41232),f334(f334(f123(f926(f925(x41231,x41232),a913)),x41233),x41234)))
% 164.74/165.08 [4128]E(f334(f334(f23(f926(x41281,a913)),f334(f334(f114(f926(x41281,a913)),x41282),x41283)),x41284),f334(f334(f114(f926(x41281,a913)),x41282),f334(f334(f23(f926(x41281,a913)),x41283),x41284)))
% 164.74/165.08 [4129]E(f334(f334(f123(f926(x41291,a913)),f334(f334(f123(f926(x41291,a913)),x41292),x41293)),x41294),f334(f334(f123(f926(x41291,a913)),x41292),f334(f334(f123(f926(x41291,a913)),x41293),x41294)))
% 164.74/165.08 [4130]E(f334(f334(f114(f926(x41301,a913)),f334(f334(f114(f926(x41301,a913)),x41302),x41303)),x41304),f334(f334(f114(f926(x41301,a913)),x41302),f334(f334(f114(f926(x41301,a913)),x41303),x41304)))
% 164.74/165.08 [4169]E(f334(f334(f123(f926(f925(x41691,x41692),a913)),f334(f294(x41692,x41691),x41693)),f334(f294(x41692,x41691),x41694)),f334(f294(x41692,x41691),f334(f334(f123(f926(f925(x41692,x41691),a913)),x41693),x41694)))
% 164.74/165.08 [4170]E(f334(f334(f114(f926(f925(x41701,x41702),a913)),f334(f294(x41702,x41701),x41703)),f334(f294(x41702,x41701),x41704)),f334(f294(x41702,x41701),f334(f334(f114(f926(f925(x41702,x41701),a913)),x41703),x41704)))
% 164.74/165.08 [4183]E(f334(f334(f123(f926(x41831,f926(x41832,a913))),f257(x41832,x41831,x41833)),f257(x41832,x41831,x41834)),f257(x41832,x41831,f334(f334(f123(f926(x41832,f926(x41831,a913))),x41833),x41834)))
% 164.74/165.08 [4184]E(f334(f334(f114(f926(x41841,f926(x41842,a913))),f257(x41842,x41841,x41843)),f257(x41842,x41841,x41844)),f257(x41842,x41841,f334(f334(f114(f926(x41842,f926(x41841,a913))),x41843),x41844)))
% 164.74/165.08 [4238]E(f334(f334(f123(f926(x42381,a913)),f334(f334(f23(f926(x42381,a913)),x42382),x42383)),f334(f334(f23(f926(x42381,a913)),x42384),x42383)),f334(f334(f23(f926(x42381,a913)),f334(f334(f123(f926(x42381,a913)),x42382),x42384)),x42383))
% 164.74/165.08 [4239]E(f334(f334(f114(f926(x42391,a913)),f334(f334(f123(f926(x42391,a913)),x42392),x42393)),f334(f334(f123(f926(x42391,a913)),x42394),x42393)),f334(f334(f123(f926(x42391,a913)),f334(f334(f114(f926(x42391,a913)),x42392),x42394)),x42393))
% 164.74/165.08 [4240]E(f334(f334(f23(f926(x42401,a913)),f334(f334(f114(f926(x42401,a913)),x42402),x42403)),f334(f334(f114(f926(x42401,a913)),x42404),x42403)),f334(f334(f114(f926(x42401,a913)),f334(f334(f23(f926(x42401,a913)),x42402),x42404)),x42403))
% 164.74/165.08 [4241]E(f334(f334(f123(f926(x42411,a913)),f334(f334(f114(f926(x42411,a913)),x42412),x42413)),f334(f334(f114(f926(x42411,a913)),x42414),x42413)),f334(f334(f114(f926(x42411,a913)),f334(f334(f123(f926(x42411,a913)),x42412),x42414)),x42413))
% 164.74/165.08 [4242]E(f334(f334(f23(f926(x42421,a913)),f334(f334(f114(f926(x42421,a913)),x42422),x42423)),f334(f334(f114(f926(x42421,a913)),x42424),x42423)),f334(f334(f23(f926(x42421,a913)),f334(f334(f114(f926(x42421,a913)),x42422),x42423)),x42424))
% 164.74/165.08 [4254]E(f334(f334(f23(f926(x42541,a913)),f334(f334(f23(f926(x42541,a913)),x42542),f334(f334(f316(x42541),x42543),f198(f926(x42541,a913))))),x42544),f334(f334(f23(f926(x42541,a913)),x42542),f334(f334(f316(x42541),x42543),x42544)))
% 164.74/165.08 [4307]E(f334(f334(f123(f926(x43071,a913)),f334(f334(f316(x43071),x43072),f334(f334(f316(x43071),x43073),f198(f926(x43071,a913))))),f334(f289(x43071),x43074)),f334(f289(x43071),f334(f334(f316(f925(x43071,x43071)),f334(f334(f266(x43071,x43071),x43072),x43073)),x43074)))
% 164.74/165.08 [4333]E(f334(f334(f48(a919,f926(x43331,a913)),f334(f308(a919),x43332)),f334(f334(f8(a919,f926(x43331,a913),a919),x43333),f334(f334(f7(a919,a919,a919),f89(a919)),x43334))),f334(f334(f48(a919,f926(x43331,a913)),f310(a919,x43334,f334(f334(f89(a919),x43332),x43334))),x43333))
% 164.74/165.08 [4334]E(f184(x43341,f334(f293(x43341,x43341,x43342),f334(f334(f316(x43341),x43343),f198(f926(x43341,a913)))),f334(f293(f920(x43341),f920(x43341),f168(x43341,x43342)),f334(f334(f316(f920(x43341)),x43344),f198(f926(f920(x43341),a913))))),f334(f293(f920(x43341),f920(x43341),f168(x43341,x43342)),f334(f334(f316(f920(x43341)),f334(f334(f161(x43341),x43343),x43344)),f198(f926(f920(x43341),a913)))))
% 164.74/165.08 [4398]E(f334(f254(x43981),f334(f334(f7(x43981,f926(x43982,a913),a913),f334(f334(f8(x43982,f926(f926(x43982,a913),a913),x43981),f336(x43982)),x43983)),x43984)),f334(f318(x43981,x43982,x43983),x43984))
% 164.74/165.08 [4489]E(f334(f254(x44891),f334(f334(f7(x44891,f926(f925(x44892,x44891),a913),a913),f334(f334(f8(f925(x44892,x44891),f926(f926(f925(x44892,x44891),a913),a913),x44891),f336(f925(x44892,x44891))),f334(f266(x44892,x44891),x44893))),x44894)),f334(f293(x44892,x44891,x44894),f334(f334(f316(x44892),x44893),f198(f926(x44892,a913)))))
% 164.74/165.08 [4503]E(f334(f334(f164(f925(x45031,a919),x45031),f265(x45031,a919)),f334(f146(f925(x45031,a919),f334(f334(f8(a919,a913,f925(x45031,a919)),x45032),f334(f334(f8(a919,a919,f925(x45031,a919)),a125),f269(x45031,a919)))),f334(f334(f191(x45031,a919),x45033),x45034))),f334(f334(f164(f925(x45031,a919),x45031),f265(x45031,a919)),f334(f146(f925(x45031,a919),f334(f334(f8(a919,a913,f925(x45031,a919)),x45032),f269(x45031,a919))),f334(f334(f191(x45031,a919),x45033),f334(f334(f164(a919,a919),a125),x45034)))))
% 164.74/165.08 [4512]P107(f334(f334(f248(f926(f926(x45121,a913),a913)),f334(f334(f48(x45122,f926(f926(x45121,a913),a913)),x45123),f334(f334(f8(f926(x45121,a913),f926(f926(x45121,a913),a913),x45122),f315(x45121)),x45124))),f334(f315(x45121),f334(f334(f48(x45122,f926(x45121,a913)),x45123),x45124))))
% 164.74/165.08 [4553]E(f334(f334(f95(a1,x45531),f334(f116(a1),f334(f334(f89(a1),x45532),a110))),f334(f334(f18(a1,x45531,x45531),f334(f334(f7(a1,x45531,f926(x45531,x45531)),f334(f334(f8(a913,f926(x45531,f926(x45531,x45531)),a1),f109(x45531)),a203)),x45533)),f334(f334(f18(a1,x45531,x45531),f334(f334(f8(a919,f926(x45531,x45531),a1),x45534),a117)),f334(f334(f8(a919,x45531,a1),f194(x45531,x45533,x45534)),a117)))),f334(f194(x45531,x45533,x45534),f334(f116(a919),x45532)))
% 164.74/165.08 [4577]E(f334(f254(f925(x45771,x45772)),f334(f270(x45771,x45772,a913),f334(f334(f7(x45771,f926(x45772,a913),f926(x45772,a913)),f334(f334(f8(f926(a913,a913),f926(f926(x45772,a913),f926(x45772,a913)),x45771),f8(a913,a913,x45772)),f334(f334(f8(a913,f926(a913,a913),x45771),a333),f334(f334(f7(x45771,f926(x45771,a913),a913),f336(x45771)),x45773)))),f334(f334(f7(x45772,f926(x45772,a913),a913),f336(x45772)),x45774)))),f243(x45771,x45772,x45773,x45774))
% 164.74/165.08 [4612]E(f334(f334(f48(x46121,f926(f925(x46121,x46122),a913)),x46123),f334(f334(f18(x46121,f926(x46122,f926(f925(x46121,x46122),a913)),f926(f925(x46121,x46122),a913)),f334(f334(f8(f926(x46122,a913),f926(f926(x46122,f926(f925(x46121,x46122),a913)),f926(f925(x46121,x46122),a913)),x46121),f48(x46122,f926(f925(x46121,x46122),a913))),x46124)),f334(f334(f7(x46121,f926(f925(x46121,x46122),a913),f926(x46122,f926(f925(x46121,x46122),a913))),f334(f334(f8(f926(x46122,f926(f926(f925(x46121,x46122),a913),f926(f925(x46121,x46122),a913))),f926(f926(f925(x46121,x46122),a913),f926(x46122,f926(f925(x46121,x46122),a913))),x46121),f7(x46122,f926(f925(x46121,x46122),a913),f926(f925(x46121,x46122),a913))),f334(f334(f8(f926(x46122,f925(x46121,x46122)),f926(x46122,f926(f926(f925(x46121,x46122),a913),f926(f925(x46121,x46122),a913))),x46121),f334(f8(f925(x46121,x46122),f926(f926(f925(x46121,x46122),a913),f926(f925(x46121,x46122),a913)),x46122),f316(f925(x46121,x46122)))),f266(x46121,x46122)))),f198(f926(f925(x46121,x46122),a913))))),f334(f334(f268(x46121,x46122),x46123),x46124))
% 164.74/165.08 [4178]E(f334(f334(f144(x41781),f334(f334(f185(x41781),x41782),x41783)),f334(f334(f185(x41781),f334(f334(f23(a919),x41782),f334(f199(f920(x41781)),x41783))),x41784)),f334(f334(f185(x41781),x41782),f334(f334(f144(x41781),x41783),x41784)))
% 164.74/165.08 [4179]E(f334(f334(f144(x41791),f334(f334(f148(x41791),x41792),x41793)),f334(f334(f148(x41791),f334(f334(f23(a919),x41792),f334(f199(f920(x41791)),x41793))),x41794)),f334(f334(f148(x41791),x41792),f334(f334(f144(x41791),x41793),x41794)))
% 164.74/165.08 [4228]E(f334(f334(f89(a919),f334(f334(f90(a919),x42281),x42282)),f334(f334(f89(a919),f334(f334(f90(a919),x42283),x42282)),x42284)),f334(f334(f89(a919),f334(f334(f90(a919),f334(f334(f89(a919),x42281),x42283)),x42282)),x42284))
% 164.74/165.08 [4374]E(f99(x43741,f334(f334(f7(x43741,x43742,a913),f334(f334(f8(x43742,f926(x43742,a913),x43741),a331),x43743)),x43744)),f334(f101(x43741,x43742,f256(f926(x43741,a913)),x43743),x43744))
% 164.74/165.08 [4422]P107(f334(f334(f248(f926(x44221,a913)),f334(f334(f23(f926(x44221,a913)),f334(f292(x44222,x44221),x44223)),f334(f292(x44222,x44221),x44224))),f334(f292(x44222,x44221),f334(f334(f23(f926(f925(x44222,x44221),a913)),x44223),x44224))))
% 164.74/165.08 [4423]P107(f334(f334(f248(f926(x44231,a913)),f334(f334(f23(f926(x44231,a913)),f334(f264(x44231,x44232),x44233)),f334(f264(x44231,x44232),x44234))),f334(f264(x44231,x44232),f334(f334(f23(f926(f925(x44231,x44232),a913)),x44233),x44234))))
% 164.74/165.08 [4532]E(f334(f334(f89(a1),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x45321),x45322)),f198(f926(f925(a919,a919),a913)))))),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x45323),x45324)),f198(f926(f925(a919,a919),a913)))))),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),f334(f334(f89(a919),x45321),x45323)),f334(f334(f89(a919),x45322),x45324))),f198(f926(f925(a919,a919),a913))))))
% 164.74/165.08 [4572]E(f334(f334(f90(a1),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x45721),x45722)),f198(f926(f925(a919,a919),a913)))))),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x45723),x45724)),f198(f926(f925(a919,a919),a913)))))),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),f334(f334(f89(a919),f334(f334(f90(a919),x45721),x45723)),f334(f334(f90(a919),x45722),x45724))),f334(f334(f89(a919),f334(f334(f90(a919),x45721),x45724)),f334(f334(f90(a919),x45722),x45723)))),f198(f926(f925(a919,a919),a913))))))
% 164.74/165.08 [4593]E(f334(f254(x45931),f334(f334(f8(f926(x45932,a913),a913,x45931),f97(x45932)),f334(f334(f8(f926(x45932,a913),f926(x45932,a913),x45931),f334(f18(x45932,a913,a913),f334(f334(f8(a913,f926(a913,a913),x45932),a337),f334(f334(f7(x45932,f926(x45932,a913),a913),f336(x45932)),x45933)))),f334(f334(f7(x45931,f926(x45932,f926(x45931,a913)),f926(x45932,a913)),f334(f334(f8(f926(f926(x45931,a913),a913),f926(f926(x45932,f926(x45931,a913)),f926(x45932,a913)),x45931),f8(f926(x45931,a913),a913,x45932)),f336(x45931))),x45934)))),f334(f334(f49(x45932,f926(x45931,a913)),x45933),x45934))
% 164.74/165.08 [4627]E(f334(f334(f296(x46271,x46271,x46271),f334(f334(f316(f925(x46271,x46271)),f334(f334(f266(x46271,x46271),x46272),x46273)),x46274)),f314(x46271,f334(f334(f316(f925(x46271,x46271)),f334(f334(f266(x46271,x46271),x46272),x46273)),x46274))),f334(f334(f123(f926(f925(x46271,x46271),a913)),f334(f334(f296(x46271,x46271,x46271),x46274),f314(x46271,x46274))),f334(f254(f925(x46271,x46271)),f334(f270(x46271,x46271,a913),f334(f334(f7(x46271,f926(x46271,a913),f926(x46271,a913)),f334(f334(f8(f926(a913,a913),f926(f926(x46271,a913),f926(x46271,a913)),x46271),f8(a913,a913,x46271)),f334(f334(f8(a913,f926(a913,a913),x46271),a333),f334(f334(f7(x46271,f926(f925(x46271,x46271),a913),a913),f334(f334(f8(f925(x46271,x46271),f926(f926(f925(x46271,x46271),a913),a913),x46271),f336(f925(x46271,x46271))),f334(f334(f7(x46271,x46271,f925(x46271,x46271)),f266(x46271,x46271)),x46272))),f314(x46271,x46274))))),f334(f334(f7(x46271,f926(f925(x46271,x46271),a913),a913),f334(f334(f8(f925(x46271,x46271),f926(f926(f925(x46271,x46271),a913),a913),x46271),f336(f925(x46271,x46271))),f334(f266(x46271,x46271),x46273))),f314(x46271,x46274)))))))
% 164.74/165.08 [4424]E(f334(f146(x44241,f334(f334(f18(x44241,a913,a913),f334(f334(f8(a913,f926(a913,a913),x44241),a333),x44242)),x44243)),x44244),f334(f146(x44241,x44243),f334(f146(x44241,x44242),x44244)))
% 164.74/165.08 [4526]E(f334(f334(f144(x45261),f334(f334(f334(f109(f920(x45261)),f334(f334(f336(a919),f2(a919)),x45262)),f334(f334(f161(x45261),x45263),f126(x45261))),f126(x45261))),f186(x45261,x45264,f334(f254(a919),f334(f334(f7(a919,f926(a919,a913),a913),f334(f334(f8(a919,f926(f926(a919,a913),a913),a919),f336(a919)),a125)),x45262)))),f186(x45261,f334(f334(f161(x45261),x45263),x45264),x45262))
% 164.74/165.08 [4623]E(f334(f254(f925(x46231,x46232)),f334(f334(f8(f926(a919,a913),a913,f925(x46231,x46232)),f96(a919)),f334(f334(f7(f925(x46231,x46232),f926(a919,a913),f926(a919,a913)),f334(f334(f8(f926(a919,f926(a913,a913)),f926(f926(a919,a913),f926(a919,a913)),f925(x46231,x46232)),f18(a919,a913,a913)),f334(f334(f8(f926(a919,a913),f926(a919,f926(a913,a913)),f925(x46231,x46232)),f334(f8(a913,f926(a913,a913),a919),a333)),f334(f334(f7(f925(x46231,x46232),f926(a919,f925(x46231,x46232)),f926(a919,a913)),f334(f334(f8(f926(f925(x46231,x46232),a913),f926(f926(a919,f925(x46231,x46232)),f926(a919,a913)),f925(x46231,x46232)),f8(f925(x46231,x46232),a913,a919)),a331)),f334(f334(f18(a919,x46232,f925(x46231,x46232)),f334(f334(f8(x46231,f926(x46232,f925(x46231,x46232)),a919),f266(x46231,x46232)),f334(f174(x46231),x46233))),f334(f174(x46232),x46234)))))),f334(f334(f7(a919,a919,a913),f249(a919)),f334(f334(f246(a919),f334(f199(f920(x46231)),x46233)),f334(f199(f920(x46232)),x46234)))))),f334(f182(f925(x46231,x46232)),f334(f334(f191(x46231,x46232),x46233),x46234)))
% 164.74/165.08 [4545]E(f334(f254(f925(x45451,x45452)),f334(f270(x45451,x45452,a913),f334(f334(f7(x45451,f926(x45452,a913),f926(x45452,a913)),f334(f334(f8(f926(a913,a913),f926(f926(x45452,a913),f926(x45452,a913)),x45451),f8(a913,a913,x45452)),f334(f334(f8(a913,f926(a913,a913),x45451),a333),x45453))),x45454))),f334(f334(f268(x45451,x45452),f334(f254(x45451),x45453)),f334(f16(f926(x45452,a913),x45451),f334(f254(x45452),x45454))))
% 164.74/165.08 [4548]E(f334(f254(f925(x45481,x45482)),f334(f270(x45481,x45482,a913),f334(f334(f18(x45481,f926(x45482,a913),f926(x45482,a913)),f334(f334(f8(f926(a913,a913),f926(f926(x45482,a913),f926(x45482,a913)),x45481),f8(a913,a913,x45482)),f334(f334(f8(a913,f926(a913,a913),x45481),a333),x45483))),x45484))),f334(f334(f268(x45481,x45482),f334(f254(x45481),x45483)),f334(f334(f8(f926(x45482,a913),f926(x45482,a913),x45481),f254(x45482)),x45484)))
% 164.74/165.08 [4560]E(f334(f254(x45601),f334(f334(f8(f926(x45602,a913),a913,x45601),f97(x45602)),f334(f334(f8(f926(x45602,a913),f926(x45602,a913),x45601),f334(f18(x45602,a913,a913),f334(f334(f8(a913,f926(a913,a913),x45602),a337),f334(f334(f7(x45602,f926(x45602,a913),a913),f336(x45602)),x45603)))),x45604))),f334(f334(f49(x45602,f926(x45601,a913)),x45603),f334(f334(f8(f926(x45601,a913),f926(x45601,a913),x45602),f254(x45601)),f334(f7(x45601,x45602,a913),x45604))))
% 164.74/165.08 [4605]E(f334(f334(f164(f925(x46051,a919),x46051),f265(x46051,a919)),f334(f146(f925(x46051,a919),f334(f334(f7(f925(x46051,a919),f926(a919,a913),a913),f334(f334(f8(a919,f926(f926(a919,a913),a913),f925(x46051,a919)),f336(a919)),f269(x46051,a919))),x46052)),f334(f334(f191(x46051,a919),x46053),f149(a919,f334(f309(a919,x46054),f334(f334(f89(a919),x46054),f334(f199(f920(x46051)),x46053))))))),f334(f334(f164(f925(x46051,a919),x46051),f265(x46051,a919)),f334(f146(f925(x46051,a919),f334(f334(f7(f925(x46051,a919),f926(a919,a913),a913),f334(f334(f8(a919,f926(f926(a919,a913),a913),f925(x46051,a919)),f336(a919)),f334(f334(f7(f925(x46051,a919),a919,a919),f334(f334(f8(a919,f926(a919,a919),f925(x46051,a919)),f89(a919)),f269(x46051,a919))),x46054))),x46052)),f334(f334(f191(x46051,a919),x46053),f149(a919,f334(f309(a919,f2(a919)),f334(f199(f920(x46051)),x46053)))))))
% 164.74/165.08 [4606]E(f334(a125,f334(f334(f247(a919),f334(f199(f920(x46061)),x46062)),f334(f152(a919,f920(x46063),f334(f7(f920(x46063),a919,a919),f334(f334(f8(a919,f926(a919,a919),f920(x46063)),f247(a919)),f334(f334(f7(f920(x46063),a919,a919),f334(f334(f8(a919,f926(a919,a919),f920(x46063)),f23(a919)),f199(f920(x46063)))),f334(a125,f2(a919))))),f2(a919)),f334(f178(f920(x46063)),f334(f146(f920(x46063),f334(f334(f8(a913,a913,f920(x46063)),a329),f334(f334(f7(f920(x46063),f920(x46063),a913),a331),f126(x46063)))),x46064))))),f334(f334(f247(a919),f334(a125,f334(f199(f920(x46061)),x46062))),f334(f152(a919,f920(x46063),f334(f7(f920(x46063),a919,a919),f334(f334(f8(a919,f926(a919,a919),f920(x46063)),f247(a919)),f199(f920(x46063)))),f2(a919)),f334(f178(f920(x46063)),x46064))))
% 164.74/165.08 [4559]E(f334(f334(f144(x45591),f186(x45591,x45592,x45593)),f186(x45591,x45594,f334(f254(a919),f334(f334(f7(a919,f926(a919,a913),a913),f334(f334(f8(a919,f926(f926(a919,a913),a913),a919),f336(a919)),f334(f334(f7(a919,a919,a919),f89(a919)),f334(f199(f920(x45591)),x45592)))),x45593)))),f186(x45591,f334(f334(f144(x45591),x45592),x45594),x45593))
% 164.74/165.08 [4607]E(f46(f926(x46071,a913),f334(f254(f926(x46071,a913)),f334(f334(f8(f926(x46072,a913),a913,f926(x46071,a913)),f96(x46072)),f334(f334(f8(f926(x46072,a913),f926(x46072,a913),f926(x46071,a913)),f334(f18(x46072,a913,a913),f334(f334(f8(a913,f926(a913,a913),x46072),a333),f334(f334(f7(x46072,f926(x46072,a913),a913),f336(x46072)),x46073)))),f334(f334(f7(f926(x46071,a913),f926(x46072,f926(x46071,a913)),f926(x46072,a913)),f334(f334(f8(f926(f926(x46071,a913),a913),f926(f926(x46072,f926(x46071,a913)),f926(x46072,a913)),f926(x46071,a913)),f8(f926(x46071,a913),a913,x46072)),a331)),x46074))))),f334(f334(f48(x46072,f926(x46071,a913)),x46073),x46074))
% 164.74/165.08 [4608]E(f47(f926(x46081,a913),f334(f254(f926(x46081,a913)),f334(f334(f8(f926(x46082,a913),a913,f926(x46081,a913)),f96(x46082)),f334(f334(f8(f926(x46082,a913),f926(x46082,a913),f926(x46081,a913)),f334(f18(x46082,a913,a913),f334(f334(f8(a913,f926(a913,a913),x46082),a333),f334(f334(f7(x46082,f926(x46082,a913),a913),f336(x46082)),x46083)))),f334(f334(f7(f926(x46081,a913),f926(x46082,f926(x46081,a913)),f926(x46082,a913)),f334(f334(f8(f926(f926(x46081,a913),a913),f926(f926(x46082,f926(x46081,a913)),f926(x46082,a913)),f926(x46081,a913)),f8(f926(x46081,a913),a913,x46082)),a331)),x46084))))),f334(f334(f49(x46082,f926(x46081,a913)),x46083),x46084))
% 164.74/165.08 [4614]E(f334(f334(f161(f920(x46141)),f334(f334(f161(x46141),x46142),f334(f152(f920(x46141),f920(x46141),f144(x46141),f126(x46141)),f334(f334(f164(f920(x46141),f920(x46141)),f166(f920(x46141),x46141,f126(x46141),f334(f334(f8(f920(x46141),f926(f920(x46141),f920(x46141)),x46141),f16(f920(x46141),f920(x46141))),f334(f334(f7(x46141,f920(x46141),f920(x46141)),f161(x46141)),f126(x46141))))),x46143)))),f189(x46141,f334(f334(f161(f920(x46141)),x46144),f334(f152(f920(f920(x46141)),f920(f920(x46141)),f144(f920(x46141)),f126(f920(x46141))),f334(f334(f164(f920(x46141),f920(f920(x46141))),f166(f920(f920(x46141)),x46141,f126(f920(x46141)),f334(f16(f926(f920(x46141),f920(f920(x46141))),x46141),f334(f334(f7(f920(x46141),f920(f920(x46141)),f920(f920(x46141))),f161(f920(x46141))),f126(f920(x46141)))))),x46143))))),f189(x46141,f334(f334(f161(f920(x46141)),f334(f334(f161(x46141),x46142),x46144)),x46143)))
% 164.74/165.08 [4624]E(f334(f254(f925(x46241,x46241)),f334(f270(x46241,x46241,a913),f334(f334(f7(x46241,f926(f925(x46242,x46242),a913),f926(x46241,a913)),f334(f334(f8(f926(x46241,f926(f926(f925(x46242,x46242),a913),a913)),f926(f926(f925(x46242,x46242),a913),f926(x46241,a913)),x46241),f7(x46241,f926(f925(x46242,x46242),a913),a913)),f334(f334(f8(f926(x46241,f925(x46242,x46242)),f926(x46241,f926(f926(f925(x46242,x46242),a913),a913)),x46241),f334(f8(f925(x46242,x46242),f926(f926(f925(x46242,x46242),a913),a913),x46241),f336(f925(x46242,x46242)))),f334(f334(f7(x46241,f926(x46241,x46242),f926(x46241,f925(x46242,x46242))),f334(f334(f8(f926(x46242,f925(x46242,x46242)),f926(f926(x46241,x46242),f926(x46241,f925(x46242,x46242))),x46241),f8(x46242,f925(x46242,x46242),x46241)),f334(f334(f8(x46242,f926(x46242,f925(x46242,x46242)),x46241),f266(x46242,x46242)),x46243))),x46243)))),x46244))),f334(f334(f295(x46242,x46241),x46244),x46243))
% 164.74/165.08 [4685]~E(f28(x46851,x46852),f30(x46853,x46854,x46855))
% 164.74/165.08 [4686]~E(f28(x46861,x46862),f31(x46863,x46864,x46865))
% 164.74/165.08 [4687]~E(f34(x46871,x46872),f30(x46873,x46874,x46875))
% 164.74/165.08 [4688]~E(f34(x46881,x46882),f31(x46883,x46884,x46885))
% 164.74/165.08 [4689]~E(f33(x46891,x46892),f30(x46893,x46894,x46895))
% 164.74/165.08 [4690]~E(f33(x46901,x46902),f31(x46903,x46904,x46905))
% 164.74/165.08 [4691]~E(f30(x46911,x46912,x46913),f28(x46914,x46915))
% 164.74/165.08 [4692]~E(f30(x46921,x46922,x46923),f34(x46924,x46925))
% 164.74/165.08 [4693]~E(f30(x46931,x46932,x46933),f33(x46934,x46935))
% 164.74/165.08 [4694]~E(f31(x46941,x46942,x46943),f28(x46944,x46945))
% 164.74/165.08 [4695]~E(f31(x46951,x46952,x46953),f34(x46954,x46955))
% 164.74/165.08 [4696]~E(f31(x46961,x46962,x46963),f33(x46964,x46965))
% 164.74/165.08 [3756]E(f334(f334(f164(x37561,x37562),x37563),f179(x37561,x37564,x37565)),f179(x37562,x37564,f334(x37563,x37565)))
% 164.74/165.08 [4323]E(f334(f83(x43231,x43232,x43233,x43234,x43235),x43234),x43235)
% 164.74/165.08 [4375]E(f267(x43751,x43752,x43753,f257(x43752,x43751,x43754),f257(x43753,x43752,x43755)),f257(x43753,x43751,f267(x43753,x43752,x43751,x43755,x43754)))
% 164.74/165.08 [3948]E(f334(f334(f270(x39481,x39482,x39483),x39484),x39485),f334(f334(x39484,f334(f265(x39481,x39482),x39485)),f334(f269(x39481,x39482),x39485)))
% 164.74/165.08 [3984]E(f334(f334(f334(f74(x39841,x39842,x39843),x39844),x39845),f198(f926(x39842,a913))),x39845)
% 164.74/165.08 [4262]E(f334(f81(f920(x42621),f920(x42622),f920(x42623),f334(f164(x42621,x42622),x42624)),f334(f164(x42623,x42621),x42625)),f334(f164(x42623,x42622),f334(f81(x42621,x42622,x42623,x42624),x42625)))
% 164.74/165.08 [4337]E(f94(x43371,f75(x43372,x43371,x43373,x43374,x43375)),f334(f334(f73(x43372,x43371,x43373),x43374),x43375))
% 164.74/165.08 [4372]E(f334(f334(f89(a919),f334(f334(f89(a919),f334(x43721,f334(f265(x43722,x43723),x43724))),f334(x43725,f334(f269(x43722,x43723),x43724)))),f334(a125,f2(a919))),f274(x43722,x43723,x43721,x43725,x43724))
% 164.74/165.08 [3885]E(f334(f334(f185(x38851),x38852),f334(f334(f164(x38853,x38851),x38854),x38855)),f334(f334(f164(x38853,x38851),x38854),f334(f334(f185(x38853),x38852),x38855)))
% 164.74/165.08 [3886]E(f334(f334(f148(x38861),x38862),f334(f334(f164(x38863,x38861),x38864),x38865)),f334(f334(f164(x38863,x38861),x38864),f334(f334(f148(x38863),x38862),x38865)))
% 164.74/165.08 [3918]E(f334(f334(f164(x39181,x39182),x39183),f334(f334(f161(x39181),x39184),x39185)),f334(f334(f161(x39182),f334(x39183,x39184)),f334(f334(f164(x39181,x39182),x39183),x39185)))
% 164.74/165.08 [3978]E(f334(f317(x39781,x39782,x39783),f334(f334(f316(x39781),x39784),x39785)),f334(f334(f316(x39782),f334(x39783,x39784)),f334(f317(x39781,x39782,x39783),x39785)))
% 164.74/165.08 [4007]E(f183(x40071,f334(f334(f161(x40071),x40072),x40073),f334(f334(f161(x40071),x40074),x40075)),f334(f334(f161(x40071),x40072),f334(f334(f161(x40071),x40074),f183(x40071,x40073,x40075))))
% 164.74/165.08 [4044]E(f334(f334(f191(x40441,x40442),f334(f334(f185(x40441),x40443),x40444)),f334(f334(f185(x40442),x40443),x40445)),f334(f334(f185(f925(x40441,x40442)),x40443),f334(f334(f191(x40441,x40442),x40444),x40445)))
% 164.74/165.08 [4045]E(f334(f334(f191(x40451,x40452),f334(f334(f148(x40451),x40453),x40454)),f334(f334(f148(x40452),x40453),x40455)),f334(f334(f148(f925(x40451,x40452)),x40453),f334(f334(f191(x40451,x40452),x40454),x40455)))
% 164.74/165.08 [4057]E(f334(f334(f169(x40571,f334(f334(f161(x40571),x40572),x40573)),f334(a125,x40574)),x40575),f334(f334(f161(x40571),x40572),f334(f334(f169(x40571,x40573),x40574),x40575)))
% 164.74/165.08 [4060]E(f334(f334(f144(x40601),f334(f334(f164(x40602,x40601),x40603),x40604)),f334(f334(f164(x40602,x40601),x40603),x40605)),f334(f334(f164(x40602,x40601),x40603),f334(f334(f144(x40602),x40604),x40605)))
% 164.74/165.08 [4064]E(f334(f334(x40641,x40642),f334(f334(f259(x40643,x40644,x40641),x40642),x40645)),f334(f334(f259(x40643,x40644,x40641),x40642),f334(a125,x40645)))
% 164.74/165.08 [4093]E(f173(x40931,x40932,x40933,f334(f334(f161(x40931),x40934),x40935)),f334(f334(f144(x40932),f334(x40933,x40934)),f173(x40931,x40932,x40933,x40935)))
% 164.74/165.08 [4105]E(f334(f334(f296(x41051,x41052,x41053),f334(f294(x41052,x41051),x41054)),f334(f294(x41053,x41052),x41055)),f334(f294(x41053,x41051),f334(f334(f296(x41053,x41052,x41051),x41055),x41054)))
% 164.74/165.08 [4138]E(f334(f334(f334(f193(f920(x41381),f920(x41381)),x41382),f177(x41381)),f334(f334(f164(x41383,x41381),x41384),x41385)),f334(f334(f164(x41383,x41381),x41384),f334(f334(f334(f193(f920(x41383),f920(x41383)),x41382),f177(x41383)),x41385)))
% 164.74/165.08 [4139]E(f334(f334(f272(x41391,x41392,x41391,x41393),f334(f266(x41392,x41391),x41394)),x41395),f334(x41395,x41394))
% 164.74/165.08 [4164]E(f165(x41641,x41642,f334(f334(f164(x41643,x41641),x41644),x41645)),f165(x41643,f334(f81(x41641,a919,x41643,x41642),x41644),x41645))
% 164.74/165.08 [4227]E(f187(f925(x42271,x42272),f334(f81(x42272,a913,f925(x42271,x42272),x42273),f269(x42271,x42272)),f334(f334(f191(x42271,x42272),x42274),x42275)),f334(f334(f191(x42271,x42272),x42274),f187(x42272,x42273,x42275)))
% 164.74/165.08 [4232]E(f334(f317(x42321,x42322,f334(f334(f8(x42323,x42322,x42321),x42324),x42325)),f256(f926(x42321,a913))),f334(f317(x42323,x42322,x42324),f334(f317(x42321,x42323,x42325),f256(f926(x42321,a913)))))
% 164.74/165.08 [4245]E(f187(f925(x42451,x42452),f334(f81(x42451,a913,f925(x42451,x42452),x42453),f265(x42451,x42452)),f334(f334(f191(x42451,x42452),x42454),x42455)),f334(f334(f191(x42451,x42452),f187(x42451,x42453,x42454)),x42455))
% 164.74/165.08 [4266]E(f334(f334(f123(f926(x42661,a913)),f334(f318(x42661,x42662,x42663),f334(f334(f316(x42662),x42664),f198(f926(x42662,a913))))),f334(f318(x42661,x42662,x42663),x42665)),f334(f318(x42661,x42662,x42663),f334(f334(f316(x42662),x42664),x42665)))
% 164.74/165.08 [4322]E(f334(f334(f144(f925(x43221,x43222)),f334(f334(f164(x43222,f925(x43221,x43222)),f334(f266(x43221,x43222),x43223)),x43224)),f68(x43221,x43222,x43225,x43224)),f68(x43221,x43222,f334(f334(f161(x43221),x43223),x43225),x43224))
% 164.74/165.08 [4324]E(f334(f334(f164(x43241,x43242),x43243),f187(x43241,f334(f81(x43242,a913,x43241,x43244),x43243),x43245)),f187(x43242,x43244,f334(f334(f164(x43241,x43242),x43243),x43245)))
% 164.74/165.08 [4329]E(f334(f152(x43291,x43292,f334(f7(x43292,x43291,x43291),f334(f7(x43291,x43292,x43291),x43293)),x43294),f334(f178(x43292),f334(f178(x43292),x43295))),f334(f152(x43291,x43292,x43293,x43294),x43295))
% 164.74/165.08 [4432]P107(f334(f334(f248(f926(x44321,a913)),f334(f317(x44322,x44321,x44323),f334(f334(f114(f926(x44322,a913)),x44324),x44325))),f334(f334(f114(f926(x44321,a913)),f334(f317(x44322,x44321,x44323),x44324)),f334(f317(x44322,x44321,x44323),x44325))))
% 164.74/165.08 [4433]P107(f334(f334(f248(f926(x44331,a913)),f334(f293(x44332,x44331,x44333),f334(f334(f114(f926(x44332,a913)),x44334),x44335))),f334(f334(f114(f926(x44331,a913)),f334(f293(x44332,x44331,x44333),x44334)),f334(f293(x44332,x44331,x44333),x44335))))
% 164.74/165.08 [4533]E(f334(f269(x45331,x45332),f334(f271(x45333,x45331,x45332,x45332,x45334,f25(x45332)),x45335)),f334(f269(x45333,x45332),x45335))
% 164.74/165.08 [4534]E(f334(f265(x45341,x45342),f334(f271(x45341,x45341,x45343,x45342,f25(x45341),x45344),x45345)),f334(f265(x45341,x45343),x45345))
% 164.74/165.08 [4618]P22(x46181,x46182,f334(f334(f316(f918(x46181)),f334(f334(f334(f100(x46181),f334(f334(f7(x46181,f926(a914,a914),f926(a914,a913)),f334(f334(f8(f926(a914,a913),f926(f926(a914,a914),f926(a914,a913)),x46181),f8(a914,a913,a914)),x46183)),f334(f334(f18(a914,a919,a914),f334(f334(f7(a914,a917,f926(a919,a914)),a207),x46184)),x46185))),f28(x46184,x46185)),x46183)),f198(f926(f918(x46181),a913))))
% 164.74/165.08 [4622]P22(x46221,x46222,f334(f334(f316(f918(x46221)),f334(f334(f334(f100(x46221),f334(f334(f7(x46221,f926(a914,a913),f926(a914,a913)),f334(f334(f8(f926(a914,f926(a913,a913)),f926(f926(a914,a913),f926(a914,a913)),x46221),f18(a914,a913,a913)),f334(f334(f8(f926(a914,a913),f926(a914,f926(a913,a913)),x46221),f334(f8(a913,f926(a913,a913),a914),a333)),x46223))),f334(f334(f8(a913,a913,a914),a329),x46224))),f33(x46224,x46225)),x46223)),f198(f926(f918(x46221),a913))))
% 164.74/165.08 [3722]E(f334(f334(f334(f334(f218(x37221),x37222),x37223),x37224),x37225),f202(x37221,x37222))
% 164.74/165.08 [3723]E(f334(f334(f334(f334(f222(x37231),x37232),x37233),x37234),x37235),f213(x37231,x37232))
% 164.74/165.08 [3772]E(f106(x37721,x37722,f334(f334(f334(f100(x37721),x37723),x37724),x37725)),f2(a919))
% 164.74/165.08 [4094]E(f334(f334(f48(x40941,f926(x40942,a913)),f334(f334(f316(x40941),x40943),x40944)),x40945),f334(f334(f123(f926(x40942,a913)),f334(x40945,x40943)),f334(f334(f48(x40941,f926(x40942,a913)),x40944),x40945)))
% 164.74/165.08 [4095]E(f334(f334(f49(x40951,f926(x40952,a913)),f334(f334(f316(x40951),x40953),x40954)),x40955),f334(f334(f114(f926(x40952,a913)),f334(x40955,x40953)),f334(f334(f49(x40951,f926(x40952,a913)),x40954),x40955)))
% 164.74/165.08 [4143]E(f334(f131(x41431,x41432,f334(x41433,x41434)),f334(f334(f7(x41431,a112,f921(x41432)),x41435),x41434)),f334(f211(x41431,x41432,x41433,x41435),x41434))
% 164.74/165.08 [4158]E(f334(f334(f123(f926(x41581,a913)),f334(f317(x41582,x41581,x41583),x41584)),f334(f317(x41582,x41581,x41583),x41585)),f334(f317(x41582,x41581,x41583),f334(f334(f123(f926(x41582,a913)),x41584),x41585)))
% 164.74/165.08 [4159]E(f334(f334(f123(f926(x41591,a913)),f334(f293(x41592,x41591,x41593),x41594)),f334(f293(x41592,x41591,x41593),x41595)),f334(f293(x41592,x41591,x41593),f334(f334(f123(f926(x41592,a913)),x41594),x41595)))
% 164.74/165.08 [4160]E(f334(f334(f23(f926(x41601,a913)),f334(f318(x41601,x41602,x41603),x41604)),f334(f318(x41601,x41602,x41603),x41605)),f334(f318(x41601,x41602,x41603),f334(f334(f23(f926(x41602,a913)),x41604),x41605)))
% 164.74/165.08 [4161]E(f334(f334(f123(f926(x41611,a913)),f334(f318(x41611,x41612,x41613),x41614)),f334(f318(x41611,x41612,x41613),x41615)),f334(f318(x41611,x41612,x41613),f334(f334(f123(f926(x41612,a913)),x41614),x41615)))
% 164.74/165.08 [4162]E(f334(f334(f114(f926(x41621,a913)),f334(f318(x41621,x41622,x41623),x41624)),f334(f318(x41621,x41622,x41623),x41625)),f334(f318(x41621,x41622,x41623),f334(f334(f114(f926(x41622,a913)),x41624),x41625)))
% 164.74/165.08 [4223]E(f334(f334(f169(x42231,f334(f334(f144(x42231),x42232),f334(f334(f161(x42231),x42233),x42234))),f334(f199(f920(x42231)),x42232)),x42235),f334(f334(f144(x42231),x42232),f334(f334(f161(x42231),x42235),x42234)))
% 164.74/165.08 [4230]E(f334(f334(f49(x42301,f926(x42302,a913)),x42303),f334(f334(f8(f926(x42302,a913),f926(x42302,a913),x42301),f334(f316(x42302),x42304)),x42305)),f334(f334(f316(x42302),x42304),f334(f334(f49(x42301,f926(x42302,a913)),x42303),x42305)))
% 164.74/165.08 [4384]E(f334(f334(f164(x43841,x43842),x43843),f334(f146(x43841,f334(f81(x43842,a913,x43841,x43844),x43843)),x43845)),f334(f146(x43842,x43844),f334(f334(f164(x43841,x43842),x43843),x43845)))
% 164.74/165.08 [4390]E(f334(f199(f920(x43901)),f334(f146(x43901,x43902),f334(f334(f164(x43903,x43901),x43904),x43905))),f334(f199(f920(x43903)),f334(f146(x43903,f334(f81(x43901,a913,x43903,x43902),x43904)),x43905)))
% 164.74/165.08 [4598]E(f334(f166(f920(f925(x45981,x45982)),x45982,f126(f925(x45981,x45982)),f334(f334(f7(x45982,f926(f920(x45982),f920(f925(x45981,x45982))),f926(f920(x45982),f920(f925(x45981,x45982)))),f334(f334(f8(f926(f920(f925(x45981,x45982)),f920(f925(x45981,x45982))),f926(f926(f920(x45982),f920(f925(x45981,x45982))),f926(f920(x45982),f920(f925(x45981,x45982)))),x45982),f8(f920(f925(x45981,x45982)),f920(f925(x45981,x45982)),f920(x45982))),f334(f334(f8(f925(x45981,x45982),f926(f920(f925(x45981,x45982)),f920(f925(x45981,x45982))),x45982),f161(f925(x45981,x45982))),f334(f266(x45981,x45982),x45983)))),f334(f191(x45981,x45982),x45984))),x45985),f334(f334(f191(x45981,x45982),f334(f334(f161(x45981),x45983),x45984)),x45985))
% 164.74/165.08 [4087]E(f334(f334(f169(x40871,f334(f334(f169(x40871,x40872),x40873),x40874)),x40873),x40875),f334(f334(f169(x40871,x40872),x40873),x40875))
% 164.74/165.08 [4140]E(f334(f292(x41401,x41402),f334(f334(f316(f925(x41401,x41402)),f334(f334(f266(x41401,x41402),x41403),x41404)),x41405)),f334(f334(f316(x41402),x41404),f334(f292(x41401,x41402),x41405)))
% 164.74/165.08 [4141]E(f334(f264(x41411,x41412),f334(f334(f316(f925(x41411,x41412)),f334(f334(f266(x41411,x41412),x41413),x41414)),x41415)),f334(f334(f316(x41411),x41413),f334(f264(x41411,x41412),x41415)))
% 164.74/165.08 [4188]E(f134(x41881,x41882,f334(x41883,x41884),f334(f334(f7(x41881,a112,f921(f923(x41882))),x41885),x41884)),f334(f209(x41881,x41882,x41883,x41885),x41884))
% 164.74/165.08 [4216]E(f334(f334(f23(f926(f925(x42161,x42162),a913)),f334(f334(f268(x42161,x42162),x42163),x42164)),f334(f334(f268(x42161,x42162),x42165),x42164)),f334(f334(f268(x42161,x42162),f334(f334(f23(f926(x42161,a913)),x42163),x42165)),x42164))
% 164.74/165.08 [4217]E(f334(f334(f123(f926(f925(x42171,x42172),a913)),f334(f334(f268(x42171,x42172),x42173),x42174)),f334(f334(f268(x42171,x42172),x42175),x42174)),f334(f334(f268(x42171,x42172),f334(f334(f123(f926(x42171,a913)),x42173),x42175)),x42174))
% 164.74/165.08 [4218]E(f334(f334(f114(f926(f925(x42181,x42182),a913)),f334(f334(f268(x42181,x42182),x42183),x42184)),f334(f334(f268(x42181,x42182),x42185),x42184)),f334(f334(f268(x42181,x42182),f334(f334(f114(f926(x42181,a913)),x42183),x42185)),x42184))
% 164.74/165.08 [4277]E(f334(f334(f123(f926(x42771,a913)),f334(f334(f48(x42772,f926(x42771,a913)),x42773),x42774)),f334(f334(f48(x42772,f926(x42771,a913)),x42775),x42774)),f334(f334(f48(x42772,f926(x42771,a913)),f334(f334(f123(f926(x42772,a913)),x42773),x42775)),x42774))
% 164.74/165.08 [4278]E(f334(f334(f114(f926(x42781,a913)),f334(f334(f49(x42782,f926(x42781,a913)),x42783),x42784)),f334(f334(f49(x42782,f926(x42781,a913)),x42785),x42784)),f334(f334(f49(x42782,f926(x42781,a913)),f334(f334(f123(f926(x42782,a913)),x42783),x42785)),x42784))
% 164.74/165.08 [4292]E(f334(f334(f48(x42921,f926(x42922,a913)),x42923),f334(f334(f8(f926(x42922,a913),f926(x42922,a913),x42921),f334(f23(f926(x42922,a913)),x42924)),x42925)),f334(f334(f23(f926(x42922,a913)),x42924),f334(f334(f49(x42921,f926(x42922,a913)),x42923),x42925)))
% 164.74/165.08 [4293]E(f334(f334(f48(x42931,f926(x42932,a913)),x42933),f334(f334(f8(f926(x42932,a913),f926(x42932,a913),x42931),f334(f114(f926(x42932,a913)),x42934)),x42935)),f334(f334(f114(f926(x42932,a913)),x42934),f334(f334(f48(x42931,f926(x42932,a913)),x42933),x42935)))
% 164.74/165.08 [4294]E(f334(f334(f49(x42941,f926(x42942,a913)),x42943),f334(f334(f8(f926(x42942,a913),f926(x42942,a913),x42941),f334(f123(f926(x42942,a913)),x42944)),x42945)),f334(f334(f123(f926(x42942,a913)),x42944),f334(f334(f49(x42941,f926(x42942,a913)),x42943),x42945)))
% 164.74/165.08 [4349]E(f195(f920(x43491),f334(f334(f161(x43491),x43492),x43493),f334(f334(f8(f920(x43491),f920(x43491),a919),f334(f161(x43491),x43494)),f334(f334(f7(a919,x43491,f920(x43491)),f169(x43491,x43493)),x43492)),x43495),f334(f334(f169(x43491,f334(f334(f161(x43491),x43494),x43493)),x43495),x43492))
% 164.74/165.08 [4353]E(f334(f334(f48(x43531,f926(f925(x43532,x43533),a913)),x43534),f334(f334(f8(f926(f925(x43533,x43532),a913),f926(f925(x43532,x43533),a913),x43531),f294(x43533,x43532)),x43535)),f334(f294(x43533,x43532),f334(f334(f48(x43531,f926(f925(x43533,x43532),a913)),x43534),x43535)))
% 164.74/165.08 [4354]E(f334(f334(f49(x43541,f926(f925(x43542,x43543),a913)),x43544),f334(f334(f8(f926(f925(x43543,x43542),a913),f926(f925(x43542,x43543),a913),x43541),f294(x43543,x43542)),x43545)),f334(f294(x43543,x43542),f334(f334(f49(x43541,f926(f925(x43543,x43542),a913)),x43544),x43545)))
% 164.74/165.08 [4455]P107(f334(f334(f248(f926(x44551,a913)),f334(f334(f23(f926(x44551,a913)),f334(f317(x44552,x44551,x44553),x44554)),f334(f317(x44552,x44551,x44553),x44555))),f334(f317(x44552,x44551,x44553),f334(f334(f23(f926(x44552,a913)),x44554),x44555))))
% 164.74/165.08 [4601]E(f334(f166(f920(f925(x46011,x46012)),x46011,f126(f925(x46011,x46012)),f334(f334(f7(x46011,f926(f920(x46011),f920(f925(x46011,x46012))),f926(f920(x46011),f920(f925(x46011,x46012)))),f334(f334(f8(f926(f920(f925(x46011,x46012)),f920(f925(x46011,x46012))),f926(f926(f920(x46011),f920(f925(x46011,x46012))),f926(f920(x46011),f920(f925(x46011,x46012)))),x46011),f8(f920(f925(x46011,x46012)),f920(f925(x46011,x46012)),f920(x46011))),f334(f334(f8(f925(x46011,x46012),f926(f920(f925(x46011,x46012)),f920(f925(x46011,x46012))),x46011),f161(f925(x46011,x46012))),f334(f334(f7(x46011,x46012,f925(x46011,x46012)),f266(x46011,x46012)),x46013)))),f334(f334(f7(f920(x46011),f920(x46012),f920(f925(x46011,x46012))),f191(x46011,x46012)),x46014))),x46015),f334(f334(f191(x46011,x46012),x46015),f334(f334(f161(x46012),x46013),x46014)))
% 164.74/165.08 [4318]E(f334(f334(f123(f926(x43181,a913)),f334(f293(x43182,x43181,x43183),x43184)),f334(f293(x43182,x43181,x43185),x43184)),f334(f293(x43182,x43181,f334(f334(f123(f926(f925(x43182,x43181),a913)),x43183),x43185)),x43184))
% 164.74/165.08 [4355]E(f334(f334(f144(f925(x43551,x43552)),f334(f334(f191(x43551,x43552),x43553),f334(f334(f185(x43552),f334(f199(f920(x43551)),x43553)),x43554))),f334(f334(f191(x43551,x43552),x43555),f334(f334(f148(x43552),f334(f199(f920(x43551)),x43553)),x43554))),f334(f334(f191(x43551,x43552),f334(f334(f144(x43551),x43553),x43555)),x43554))
% 164.74/165.08 [4458]E(f334(f334(f268(x44581,x44582),x44583),f334(f334(f18(x44581,f926(x44582,a913),f926(x44582,a913)),f334(f334(f8(f926(x44582,a913),f926(f926(x44582,a913),f926(x44582,a913)),x44581),f23(f926(x44582,a913))),x44584)),x44585)),f334(f334(f23(f926(f925(x44581,x44582),a913)),f334(f334(f268(x44581,x44582),x44583),x44584)),f334(f334(f268(x44581,x44582),x44583),x44585)))
% 164.74/165.08 [4459]E(f334(f334(f268(x44591,x44592),x44593),f334(f334(f18(x44591,f926(x44592,a913),f926(x44592,a913)),f334(f334(f8(f926(x44592,a913),f926(f926(x44592,a913),f926(x44592,a913)),x44591),f123(f926(x44592,a913))),x44594)),x44595)),f334(f334(f123(f926(f925(x44591,x44592),a913)),f334(f334(f268(x44591,x44592),x44593),x44594)),f334(f334(f268(x44591,x44592),x44593),x44595)))
% 164.74/165.08 [4460]E(f334(f334(f268(x44601,x44602),x44603),f334(f334(f18(x44601,f926(x44602,a913),f926(x44602,a913)),f334(f334(f8(f926(x44602,a913),f926(f926(x44602,a913),f926(x44602,a913)),x44601),f114(f926(x44602,a913))),x44604)),x44605)),f334(f334(f114(f926(f925(x44601,x44602),a913)),f334(f334(f268(x44601,x44602),x44603),x44604)),f334(f334(f268(x44601,x44602),x44603),x44605)))
% 164.74/165.08 [4464]E(f334(f334(f48(x44641,f926(x44642,a913)),x44643),f334(f334(f7(x44641,f926(x44642,a913),f926(x44642,a913)),f334(f334(f8(f926(x44642,a913),f926(f926(x44642,a913),f926(x44642,a913)),x44641),f23(f926(x44642,a913))),x44644)),x44645)),f334(f334(f23(f926(x44642,a913)),f334(f334(f48(x44641,f926(x44642,a913)),x44643),x44644)),x44645))
% 164.74/165.08 [4465]E(f334(f334(f48(x44651,f926(x44652,a913)),x44653),f334(f334(f7(x44651,f926(x44652,a913),f926(x44652,a913)),f334(f334(f8(f926(x44652,a913),f926(f926(x44652,a913),f926(x44652,a913)),x44651),f114(f926(x44652,a913))),x44654)),x44655)),f334(f334(f114(f926(x44652,a913)),f334(f334(f48(x44651,f926(x44652,a913)),x44653),x44654)),x44655))
% 164.74/165.08 [4466]E(f334(f334(f49(x44661,f926(x44662,a913)),x44663),f334(f334(f7(x44661,f926(x44662,a913),f926(x44662,a913)),f334(f334(f8(f926(x44662,a913),f926(f926(x44662,a913),f926(x44662,a913)),x44661),f123(f926(x44662,a913))),x44664)),x44665)),f334(f334(f123(f926(x44662,a913)),f334(f334(f49(x44661,f926(x44662,a913)),x44663),x44664)),x44665))
% 164.74/165.08 [4470]E(f334(f334(f48(x44701,f926(x44702,a913)),x44703),f334(f334(f18(x44701,f926(x44702,a913),f926(x44702,a913)),f334(f334(f8(f926(x44702,a913),f926(f926(x44702,a913),f926(x44702,a913)),x44701),f123(f926(x44702,a913))),x44704)),x44705)),f334(f334(f123(f926(x44702,a913)),f334(f334(f48(x44701,f926(x44702,a913)),x44703),x44704)),f334(f334(f48(x44701,f926(x44702,a913)),x44703),x44705)))
% 164.74/165.08 [4471]E(f334(f334(f49(x44711,f926(x44712,a913)),x44713),f334(f334(f18(x44711,f926(x44712,a913),f926(x44712,a913)),f334(f334(f8(f926(x44712,a913),f926(f926(x44712,a913),f926(x44712,a913)),x44711),f114(f926(x44712,a913))),x44714)),x44715)),f334(f334(f114(f926(x44712,a913)),f334(f334(f49(x44711,f926(x44712,a913)),x44713),x44714)),f334(f334(f49(x44711,f926(x44712,a913)),x44713),x44715)))
% 164.74/165.08 [4485]E(f334(f334(f48(x44851,f926(x44852,a913)),x44853),f334(f334(f18(x44851,f926(x44852,a913),f926(x44852,a913)),f334(f334(f8(f926(x44852,a913),f926(f926(x44852,a913),f926(x44852,a913)),x44851),f123(f926(x44852,a913))),x44854)),x44855)),f334(f334(f123(f926(x44852,a913)),f46(f926(x44852,a913),f334(f317(x44851,f926(x44852,a913),x44854),x44853))),f46(f926(x44852,a913),f334(f317(x44851,f926(x44852,a913),x44855),x44853))))
% 164.74/165.08 [4486]E(f334(f334(f49(x44861,f926(x44862,a913)),x44863),f334(f334(f18(x44861,f926(x44862,a913),f926(x44862,a913)),f334(f334(f8(f926(x44862,a913),f926(f926(x44862,a913),f926(x44862,a913)),x44861),f114(f926(x44862,a913))),x44864)),x44865)),f334(f334(f114(f926(x44862,a913)),f47(f926(x44862,a913),f334(f317(x44861,f926(x44862,a913),x44864),x44863))),f47(f926(x44862,a913),f334(f317(x44861,f926(x44862,a913),x44865),x44863))))
% 164.74/165.08 [4522]E(f334(f334(f148(x45221),f334(f199(f920(x45221)),f187(x45221,x45222,f334(f334(f164(x45223,x45221),x45224),x45225)))),f334(f334(f164(x45223,x45221),x45224),x45225)),f334(f334(f164(x45223,x45221),x45224),f334(f334(f148(x45223),f334(f199(f920(x45223)),f187(x45223,f334(f81(x45221,a913,x45223,x45222),x45224),x45225))),x45225)))
% 164.74/165.08 [4397]E(f334(f334(f144(f925(x43971,x43972)),f334(f334(f191(x43971,x43972),f334(f334(f185(x43971),f334(f199(f920(x43972)),x43973)),x43974)),x43973)),f334(f334(f191(x43971,x43972),f334(f334(f148(x43971),f334(f199(f920(x43972)),x43973)),x43974)),x43975)),f334(f334(f191(x43971,x43972),x43974),f334(f334(f144(x43972),x43973),x43975)))
% 164.74/165.08 [4513]E(f94(x45131,f334(f334(f18(x45131,a913,a913),f334(f334(f8(a913,f926(a913,a913),x45131),a333),f334(f334(f7(x45131,f926(x45131,a913),a913),f336(x45131)),x45132))),f334(f334(f7(x45131,x45133,a913),f334(f334(f8(x45133,f926(x45133,a913),x45131),a331),x45134)),x45135))),f334(f86(x45131,x45133,x45132,x45134),x45135))
% 164.74/165.08 [4514]E(f99(x45141,f334(f334(f18(x45141,a913,a913),f334(f334(f8(a913,f926(a913,a913),x45141),a333),f334(f334(f7(x45141,f926(x45141,a913),a913),f336(x45141)),x45142))),f334(f334(f7(x45141,x45143,a913),f334(f334(f8(x45143,f926(x45143,a913),x45141),a331),x45144)),x45145))),f334(f101(x45141,x45143,x45142,x45144),x45145))
% 164.74/165.08 [4562]E(f334(f334(f95(a1,x45621),f334(f116(a1),f334(f334(f89(a1),x45622),a110))),f334(f334(f18(a1,x45621,x45621),f334(f334(f7(a1,x45621,f926(x45621,x45621)),f334(f334(f8(a913,f926(x45621,f926(x45621,x45621)),a1),f109(x45621)),a203)),f195(x45621,x45623,x45624,x45625))),f334(f334(f8(a919,x45621,a1),x45624),f334(f334(f7(a1,a919,a919),f334(f334(f8(a919,f926(a919,a919),a1),f89(a919)),a117)),x45625)))),f195(x45621,x45623,x45624,f334(f334(f89(a919),f334(f116(a919),x45622)),x45625)))
% 164.74/165.08 [4597]E(f334(f334(f95(a1,x45971),f334(f116(a1),f334(f334(f89(a1),x45972),a110))),f334(f334(f18(a1,x45971,x45971),f334(f334(f7(a1,x45971,f926(x45971,x45971)),f334(f334(f8(a913,f926(x45971,f926(x45971,x45971)),a1),f109(x45971)),a203)),f334(f194(x45971,x45973,x45974),x45975))),f334(f334(f18(a1,x45971,x45971),f334(f334(f8(a919,f926(x45971,x45971),a1),x45974),f334(f334(f7(a1,a919,a919),f334(f334(f8(a919,f926(a919,a919),a1),f89(a919)),a117)),x45975))),f334(f334(f8(a919,x45971,a1),f194(x45971,x45973,x45974)),f334(f334(f7(a1,a919,a919),f334(f334(f8(a919,f926(a919,a919),a1),f89(a919)),a117)),x45975))))),f334(f194(x45971,x45973,x45974),f334(f334(f89(a919),f334(f116(a919),x45972)),x45975)))
% 164.74/165.08 [4638]E(f334(f254(f925(x46381,x46382)),f334(f270(x46381,x46382,a913),f334(f334(f8(f926(x46382,f926(x46383,a913)),f926(x46382,a913),x46381),f334(f8(f926(x46383,a913),a913,x46382),f96(x46383))),f334(f334(f7(x46381,f926(x46382,f926(x46383,a913)),f926(x46382,f926(x46383,a913))),f334(f334(f8(f926(f926(x46383,a913),f926(x46383,a913)),f926(f926(x46382,f926(x46383,a913)),f926(x46382,f926(x46383,a913))),x46381),f8(f926(x46383,a913),f926(x46383,a913),x46382)),f334(f334(f8(f926(x46383,f926(a913,a913)),f926(f926(x46383,a913),f926(x46383,a913)),x46381),f18(x46383,a913,a913)),f334(f334(f8(f926(x46383,a913),f926(x46383,f926(a913,a913)),x46381),f334(f8(a913,f926(a913,a913),x46383),a333)),f334(f334(f7(x46381,f926(f925(x46381,x46383),a913),f926(x46383,a913)),f334(f334(f8(f926(x46383,f926(f926(f925(x46381,x46383),a913),a913)),f926(f926(f925(x46381,x46383),a913),f926(x46383,a913)),x46381),f7(x46383,f926(f925(x46381,x46383),a913),a913)),f334(f334(f8(f926(x46383,f925(x46381,x46383)),f926(x46383,f926(f926(f925(x46381,x46383),a913),a913)),x46381),f334(f8(f925(x46381,x46383),f926(f926(f925(x46381,x46383),a913),a913),x46383),f336(f925(x46381,x46383)))),f266(x46381,x46383)))),x46384))))),f334(f334(f7(x46382,f926(f925(x46383,x46382),a913),f926(x46383,a913)),f334(f334(f8(f926(x46383,f926(f926(f925(x46383,x46382),a913),a913)),f926(f926(f925(x46383,x46382),a913),f926(x46383,a913)),x46382),f7(x46383,f926(f925(x46383,x46382),a913),a913)),f334(f334(f8(f926(x46383,f925(x46383,x46382)),f926(x46383,f926(f926(f925(x46383,x46382),a913),a913)),x46382),f334(f8(f925(x46383,x46382),f926(f926(f925(x46383,x46382),a913),a913),x46383),f336(f925(x46383,x46382)))),f334(f7(x46383,x46382,f925(x46383,x46382)),f266(x46383,x46382))))),x46385))))),f334(f334(f296(x46381,x46383,x46382),x46384),x46385))
% 164.74/165.08 [4715]~E(f31(x47151,x47152,x47153),f30(x47154,x47155,x47156))
% 164.74/165.08 [4246]E(f238(x42461,x42462,x42463,x42464,f234(x42461,x42462,x42465,x42466)),f334(f334(x42464,x42465),x42466))
% 164.74/165.08 [4247]E(f239(x42471,x42472,x42473,x42474,f234(x42471,x42472,x42475,x42476)),f334(f334(x42474,x42475),x42476))
% 164.74/165.08 [4392]E(f83(x43921,x43922,f83(x43921,x43922,x43923,x43924,x43925),x43924,x43926),f83(x43921,x43922,x43923,x43924,x43926))
% 164.74/165.08 [4501]E(f334(f81(f925(x45011,x45012),x45012,f925(x45013,x45014),f269(x45011,x45012)),f271(x45013,x45011,x45014,x45012,x45015,x45016)),f334(f81(x45014,x45012,f925(x45013,x45014),x45016),f269(x45013,x45014)))
% 164.74/165.08 [4502]E(f334(f81(f925(x45021,x45022),x45021,f925(x45023,x45024),f265(x45021,x45022)),f271(x45023,x45021,x45024,x45022,x45025,x45026)),f334(f81(x45023,x45021,f925(x45023,x45024),x45025),f265(x45023,x45024)))
% 164.74/165.08 [4116]E(f334(f334(f81(x41161,x41162,x41163,x41164),x41165),x41166),f334(x41164,f334(x41165,x41166)))
% 164.74/165.08 [4256]E(f237(x42561,f925(x42562,f921(x42562)),x42563,f334(f270(x42562,f921(x42562),x42561),x42564),f334(f145(x42562),f138(x42562,x42565,x42566))),f334(f334(x42564,x42565),x42566))
% 164.74/165.08 [4306]E(f240(x43061,x43062,x43063,x43064,f234(x43061,x43062,x43065,x43066)),f334(f334(f89(a919),f334(f334(f89(a919),f334(x43063,x43065)),f334(x43064,x43066))),f334(a125,f2(a919))))
% 164.74/165.08 [3916]E(f334(f334(f270(x39161,x39162,x39163),x39164),f334(f334(f266(x39161,x39162),x39165),x39166)),f334(f334(x39164,x39165),x39166))
% 164.74/165.08 [3975]E(f334(f334(f334(f8(x39751,x39752,x39753),x39754),x39755),x39756),f334(x39754,f334(x39755,x39756)))
% 164.74/165.08 [3976]E(f334(f334(f334(f7(x39761,x39762,x39763),x39764),x39765),x39766),f334(f334(x39764,x39766),x39765))
% 164.74/165.08 [3994]E(f334(f334(f334(f18(x39941,x39942,x39943),x39944),x39945),x39946),f334(f334(x39944,x39946),f334(x39945,x39946)))
% 164.74/165.08 [4015]E(f334(f166(x40151,x40152,x40153,x40154),f334(f334(f161(x40152),x40155),x40156)),f334(f334(x40154,x40155),x40156))
% 164.74/165.08 [4056]E(f179(f925(x40561,x40562),f334(f334(f246(a919),x40563),x40564),f334(f334(f266(x40561,x40562),x40565),x40566)),f334(f334(f191(x40561,x40562),f179(x40561,x40563,x40565)),f179(x40562,x40564,x40566)))
% 164.74/165.08 [4120]E(f334(f334(f161(f925(x41201,x41202)),f334(f334(f266(x41201,x41202),x41203),x41204)),f334(f334(f191(x41201,x41202),x41205),x41206)),f334(f334(f191(x41201,x41202),f334(f334(f161(x41201),x41203),x41205)),f334(f334(f161(x41202),x41204),x41206)))
% 164.74/165.08 [4121]E(f334(f334(f164(x41211,x41212),x41213),f334(f334(f169(x41211,x41214),x41215),x41216)),f334(f334(f169(x41212,f334(f334(f164(x41211,x41212),x41213),x41214)),x41215),f334(x41213,x41216)))
% 164.74/165.08 [4163]E(f334(f152(x41631,x41632,x41633,x41634),f334(f334(f161(x41632),x41635),x41636)),f334(f152(x41631,x41632,x41633,f334(f334(x41633,x41634),x41635)),x41636))
% 164.74/165.08 [4189]E(f273(x41891,x41892,x41893,x41894,f334(f334(f266(x41891,x41892),x41895),x41896)),f334(f334(x41894,x41895),x41896))
% 164.74/165.08 [4270]E(f334(f334(f48(x42701,f926(x42702,a913)),x42703),f334(f81(x42704,f926(x42702,a913),x42701,x42705),x42706)),f334(f334(f48(x42704,f926(x42702,a913)),f334(f317(x42701,x42704,x42706),x42703)),x42705))
% 164.74/165.08 [4321]E(f334(f334(f164(x43211,x43212),x43213),f334(f334(f164(x43214,x43211),x43215),x43216)),f334(f334(f164(x43214,x43212),f334(f81(x43211,x43212,x43214,x43213),x43215)),x43216))
% 164.74/165.08 [4327]E(f334(f317(x43271,x43272,f334(f81(x43273,x43272,x43271,x43274),x43275)),x43276),f334(f317(x43273,x43272,x43274),f334(f317(x43271,x43273,x43275),x43276)))
% 164.74/165.08 [4328]E(f334(f318(x43281,x43282,f334(f81(x43283,x43282,x43281,x43284),x43285)),x43286),f334(f318(x43281,x43283,x43285),f334(f318(x43283,x43282,x43284),x43286)))
% 164.74/165.08 [4356]E(f334(f152(x43561,x43562,x43563,f334(f152(x43561,x43562,x43563,x43564),x43565)),x43566),f334(f152(x43561,x43562,x43563,x43564),f334(f334(f144(x43562),x43565),x43566)))
% 164.74/165.08 [4491]E(f334(f271(x44911,x44911,x44912,x44913,f25(x44911),x44914),f334(f334(f266(x44911,x44912),x44915),x44916)),f334(f334(f266(x44911,x44913),x44915),f334(x44914,x44916)))
% 164.74/165.08 [4492]E(f334(f271(x44921,x44922,x44923,x44923,x44924,f25(x44923)),f334(f334(f266(x44921,x44923),x44925),x44926)),f334(f334(f266(x44922,x44923),f334(x44924,x44925)),x44926))
% 164.74/165.08 [4580]E(f334(f334(f164(f925(x45801,x45802),f925(x45801,x45803)),f334(f270(x45801,x45802,f925(x45801,x45803)),f334(f334(f7(x45801,f926(x45802,x45803),f926(x45802,f925(x45801,x45803))),f334(f334(f8(f926(x45803,f925(x45801,x45803)),f926(f926(x45802,x45803),f926(x45802,f925(x45801,x45803))),x45801),f8(x45803,f925(x45801,x45803),x45802)),f266(x45801,x45803))),x45804))),f334(f334(f191(x45801,x45802),x45805),x45806)),f334(f334(f191(x45801,x45803),x45805),f334(f334(f164(x45802,x45803),x45804),x45806)))
% 164.74/165.08 [3980]E(f107(x39801,x39802,x39803,f334(f334(f334(f100(x39801),x39804),x39805),x39806)),f334(f334(f334(x39803,x39804),x39805),x39806))
% 164.74/165.08 [3981]E(f108(x39811,x39812,x39813,f334(f334(f334(f100(x39811),x39814),x39815),x39816)),f334(f334(f334(x39813,x39814),x39815),x39816))
% 164.74/165.08 [4173]E(f334(f334(f81(x41731,x41732,x41733,f334(f16(x41732,x41731),x41734)),x41735),x41736),x41734)
% 164.74/165.08 [4205]E(f334(f317(x42051,x42052,x42053),f334(f317(x42054,x42051,x42055),x42056)),f334(f317(x42054,x42052,f334(f334(f8(x42051,x42052,x42054),x42053),x42055)),x42056))
% 164.74/165.08 [4211]E(f334(f334(f48(x42111,f926(x42112,a913)),f334(f317(x42113,x42111,x42114),x42115)),x42116),f334(f334(f48(x42113,f926(x42112,a913)),x42115),f334(f334(f8(x42111,f926(x42112,a913),x42113),x42116),x42114)))
% 164.74/165.08 [4212]E(f334(f334(f49(x42121,f926(x42122,a913)),f334(f317(x42123,x42121,x42124),x42125)),x42126),f334(f334(f49(x42123,f926(x42122,a913)),x42125),f334(f334(f8(x42121,f926(x42122,a913),x42123),x42126),x42124)))
% 164.74/165.08 [4213]E(f334(f334(f48(x42131,f926(x42132,a913)),x42133),f334(f334(f8(x42134,f926(x42132,a913),x42131),x42135),x42136)),f334(f334(f48(x42134,f926(x42132,a913)),f334(f317(x42131,x42134,x42136),x42133)),x42135))
% 164.74/165.08 [4214]E(f334(f334(f49(x42141,f926(x42142,a913)),x42143),f334(f334(f8(x42144,f926(x42142,a913),x42141),x42145),x42146)),f334(f334(f49(x42144,f926(x42142,a913)),f334(f317(x42141,x42144,x42146),x42143)),x42145))
% 164.74/165.08 [4272]E(f334(f334(f48(x42721,f926(x42722,a913)),x42723),f334(f334(f8(f926(x42724,a913),f926(x42722,a913),x42721),f317(x42724,x42722,x42725)),x42726)),f334(f317(x42724,x42722,x42725),f334(f334(f48(x42721,f926(x42724,a913)),x42723),x42726)))
% 164.74/165.08 [4273]E(f334(f334(f48(x42731,f926(x42732,a913)),x42733),f334(f334(f8(f926(x42734,a913),f926(x42732,a913),x42731),f293(x42734,x42732,x42735)),x42736)),f334(f293(x42734,x42732,x42735),f334(f334(f48(x42731,f926(x42734,a913)),x42733),x42736)))
% 164.74/165.08 [4274]E(f334(f334(f48(x42741,f926(x42742,a913)),x42743),f334(f334(f8(f926(x42744,a913),f926(x42742,a913),x42741),f318(x42742,x42744,x42745)),x42746)),f334(f318(x42742,x42744,x42745),f334(f334(f48(x42741,f926(x42744,a913)),x42743),x42746)))
% 164.74/165.08 [4275]E(f334(f334(f49(x42751,f926(x42752,a913)),x42753),f334(f334(f8(f926(x42754,a913),f926(x42752,a913),x42751),f318(x42752,x42754,x42755)),x42756)),f334(f318(x42752,x42754,x42755),f334(f334(f49(x42751,f926(x42754,a913)),x42753),x42756)))
% 164.74/165.08 [4361]E(f334(f152(x43611,x43612,f334(f7(x43612,x43611,x43611),x43613),x43614),f334(f178(x43612),f334(f334(f161(x43612),x43615),x43616))),f334(f334(x43613,x43615),f334(f152(x43611,x43612,f334(f7(x43612,x43611,x43611),x43613),x43614),f334(f178(x43612),x43616))))
% 164.74/165.08 [4419]E(f334(f334(f18(f925(x44191,x44192),x44192,x44193),f334(f334(f8(x44194,f926(x44192,x44193),f925(x44191,x44192)),x44195),f334(f334(f8(x44191,x44194,f925(x44191,x44192)),x44196),f265(x44191,x44192)))),f269(x44191,x44192)),f334(f270(x44191,x44192,x44193),f334(f334(f8(x44194,f926(x44192,x44193),x44191),x44195),x44196)))
% 164.74/165.08 [4426]E(f334(f152(x44261,x44262,f334(f7(x44262,x44261,x44261),x44263),f334(f152(x44261,x44262,f334(f7(x44262,x44261,x44261),x44263),x44264),f334(f178(x44262),x44265))),f334(f178(x44262),x44266)),f334(f152(x44261,x44262,f334(f7(x44262,x44261,x44261),x44263),x44264),f334(f178(x44262),f334(f334(f144(x44262),x44266),x44265))))
% 164.74/165.08 [4428]E(f334(f334(f164(f925(x44281,x44282),f925(x44283,x44282)),f334(f270(x44281,x44282,f925(x44283,x44282)),f334(f334(f8(x44283,f926(x44282,f925(x44283,x44282)),x44281),f266(x44283,x44282)),x44284))),f334(f334(f191(x44281,x44282),x44285),x44286)),f334(f334(f191(x44283,x44282),f334(f334(f164(x44281,x44283),x44284),x44285)),x44286))
% 164.74/165.08 [4473]P107(f334(f334(f248(f926(x44731,a913)),f334(f293(x44732,x44731,x44733),f334(f334(f49(x44734,f926(x44732,a913)),x44735),x44736))),f334(f334(f49(x44734,f926(x44731,a913)),x44735),f334(f334(f8(f926(x44732,a913),f926(x44731,a913),x44734),f293(x44732,x44731,x44733)),x44736))))
% 164.74/165.08 [4285]E(f334(f334(f191(x42851,x42852),f334(f334(f169(x42851,x42853),x42854),f334(f265(x42851,x42852),x42855))),f334(f334(f169(x42852,x42856),x42854),f334(f269(x42851,x42852),x42855))),f334(f334(f169(f925(x42851,x42852),f334(f334(f191(x42851,x42852),x42853),x42856)),x42854),x42855))
% 164.74/165.08 [4344]E(f334(f334(f123(f926(f925(x43441,x43442),a913)),f334(f334(f296(x43441,x43443,x43442),x43444),x43445)),f334(f334(f296(x43441,x43443,x43442),x43444),x43446)),f334(f334(f296(x43441,x43443,x43442),x43444),f334(f334(f123(f926(f925(x43443,x43442),a913)),x43445),x43446)))
% 164.74/165.08 [4438]E(f334(f334(f316(f925(x44381,x44382)),f334(f334(f266(x44381,x44382),x44383),x44384)),f334(f334(f123(f926(f925(x44381,x44382),a913)),f334(f334(f268(x44381,x44382),x44385),f334(f16(f926(x44382,a913),x44381),f334(f334(f316(x44382),x44384),x44386)))),f334(f334(f268(x44381,x44382),f334(f334(f316(x44381),x44383),x44385)),f334(f16(f926(x44382,a913),x44381),x44386)))),f334(f334(f268(x44381,x44382),f334(f334(f316(x44381),x44383),x44385)),f334(f16(f926(x44382,a913),x44381),f334(f334(f316(x44382),x44384),x44386))))
% 164.74/165.08 [4518]E(f334(f334(f114(f926(x45181,a913)),f334(f318(x45181,x45182,f334(f81(f925(x45182,x45183),x45182,x45181,f265(x45182,x45183)),x45184)),x45185)),f334(f318(x45181,x45183,f334(f81(f925(x45182,x45183),x45183,x45181,f269(x45182,x45183)),x45184)),x45186)),f334(f318(x45181,f925(x45182,x45183),x45184),f334(f334(f268(x45182,x45183),x45185),f334(f16(f926(x45183,a913),x45182),x45186))))
% 164.74/165.08 [4367]E(f334(f334(f123(f926(f925(x43671,x43672),a913)),f334(f334(f296(x43671,x43673,x43672),x43674),x43675)),f334(f334(f296(x43671,x43673,x43672),x43676),x43675)),f334(f334(f296(x43671,x43673,x43672),f334(f334(f123(f926(f925(x43671,x43673),a913)),x43674),x43676)),x43675))
% 164.74/165.08 [4499]E(f334(f334(f48(x44991,f926(x44992,a913)),x44993),f334(f334(f7(x44991,f926(x44994,f926(x44992,a913)),f926(x44992,a913)),f334(f334(f8(f926(x44994,a913),f926(f926(x44994,f926(x44992,a913)),f926(x44992,a913)),x44991),f48(x44994,f926(x44992,a913))),x44995)),x44996)),f334(f334(f48(x44994,f926(x44992,a913)),f334(f334(f48(x44991,f926(x44994,a913)),x44993),x44995)),x44996))
% 164.74/165.08 [4500]E(f334(f334(f49(x45001,f926(x45002,a913)),x45003),f334(f334(f7(x45001,f926(x45004,f926(x45002,a913)),f926(x45002,a913)),f334(f334(f8(f926(x45004,a913),f926(f926(x45004,f926(x45002,a913)),f926(x45002,a913)),x45001),f49(x45004,f926(x45002,a913))),x45005)),x45006)),f334(f334(f49(x45004,f926(x45002,a913)),f334(f334(f48(x45001,f926(x45004,a913)),x45003),x45005)),x45006))
% 164.74/165.08 [4552]E(f334(f270(x45521,x45522,f925(x45523,x45524)),f334(f334(f7(x45521,f926(x45522,x45524),f926(x45522,f925(x45523,x45524))),f334(f334(f8(f926(x45524,f925(x45523,x45524)),f926(f926(x45522,x45524),f926(x45522,f925(x45523,x45524))),x45521),f8(x45524,f925(x45523,x45524),x45522)),f334(f334(f8(x45523,f926(x45524,f925(x45523,x45524)),x45521),f266(x45523,x45524)),x45525))),x45526)),f271(x45521,x45523,x45522,x45524,x45525,x45526))
% 164.74/165.08 [4575]E(f334(f317(x45751,x45752,f334(f334(f18(x45751,x45752,x45752),f334(f334(f18(x45751,x45752,f926(x45752,x45752)),f334(f334(f8(a913,f926(x45752,f926(x45752,x45752)),x45751),f109(x45752)),x45753)),x45754)),x45755)),x45756),f334(f334(f123(f926(x45752,a913)),f334(f317(x45751,x45752,x45754),f334(f334(f114(f926(x45751,a913)),x45756),f334(f254(x45751),x45753)))),f334(f317(x45751,x45752,x45755),f334(f334(f114(f926(x45751,a913)),x45756),f334(f254(x45751),f334(f334(f8(a913,a913,x45751),a329),x45753))))))
% 164.74/165.08 [4587]E(f334(f317(x45871,f925(x45872,x45873),f334(f334(f18(x45871,x45873,f925(x45872,x45873)),f334(f334(f8(x45872,f926(x45873,f925(x45872,x45873)),x45871),f266(x45872,x45873)),x45874)),x45875)),x45876),f334(f334(f268(x45872,x45873),f334(f317(x45871,x45872,x45874),x45876)),f334(f334(f8(f926(x45871,a913),f926(x45873,a913),x45872),f317(x45871,x45873,x45875)),f334(f334(f7(x45872,f926(x45871,a913),f926(x45871,a913)),f334(f334(f8(f926(x45871,a913),f926(f926(x45871,a913),f926(x45871,a913)),x45872),f114(f926(x45871,a913))),f334(f334(f8(f926(x45872,a913),f926(x45871,a913),x45872),f318(x45871,x45872,x45874)),f334(f334(f7(x45872,f926(x45872,a913),f926(x45872,a913)),f316(x45872)),f198(f926(x45872,a913)))))),x45876))))
% 164.74/165.08 [4400]E(f334(f81(x44001,x44002,x44003,x44004),f83(x44003,x44001,x44005,x44006,x44007)),f83(x44003,x44002,f334(f81(x44001,x44002,x44003,x44004),x44005),x44006,f334(x44004,x44007)))
% 164.74/165.08 [4535]E(f334(f269(x45351,x45352),f334(f271(x45353,x45351,x45354,x45352,x45355,x45356),x45357)),f334(x45356,f334(f269(x45353,x45354),x45357)))
% 164.74/165.08 [4536]E(f334(f265(x45361,x45362),f334(f271(x45363,x45361,x45364,x45362,x45365,x45366),x45367)),f334(x45365,f334(f265(x45363,x45364),x45367)))
% 164.74/165.08 [4248]E(f334(f334(f191(x42481,x42482),f334(f334(f169(x42481,x42483),x42484),x42485)),f334(f334(f169(x42482,x42486),x42484),x42487)),f334(f334(f169(f925(x42481,x42482),f334(f334(f191(x42481,x42482),x42483),x42486)),x42484),f334(f334(f266(x42481,x42482),x42485),x42487)))
% 164.74/165.08 [4315]E(f334(f334(f334(f272(x43151,x43152,x43153,x43154),x43155),x43156),x43157),f334(f334(f270(x43152,x43153,x43154),x43156),f334(x43155,x43157)))
% 164.74/165.08 [4326]E(f334(f334(f334(f272(x43261,x43262,x43263,x43264),x43265),x43266),x43267),f334(f334(x43266,f334(f265(x43262,x43263),f334(x43265,x43267))),f334(f269(x43262,x43263),f334(x43265,x43267))))
% 164.74/165.08 [4378]E(f334(f81(x43781,x43782,x43783,x43784),f334(f81(x43785,x43781,x43783,x43786),x43787)),f334(f81(x43785,x43782,x43783,f334(f81(x43781,x43782,x43785,x43784),x43786)),x43787))
% 164.74/165.08 [4556]E(f334(f271(x45561,x45562,x45563,x45563,x45564,f25(x45563)),f334(f271(x45561,x45561,x45565,x45563,f25(x45561),x45566),x45567)),f334(f334(f266(x45562,x45563),f334(x45564,f334(f265(x45561,x45565),x45567))),f334(x45566,f334(f269(x45561,x45565),x45567))))
% 164.74/165.08 [4557]E(f334(f271(x45571,x45571,x45572,x45573,f25(x45571),x45574),f334(f271(x45575,x45571,x45572,x45572,x45576,f25(x45572)),x45577)),f334(f334(f266(x45571,x45573),f334(x45576,f334(f265(x45575,x45572),x45577))),f334(x45574,f334(f269(x45575,x45572),x45577))))
% 164.74/165.08 [4573]E(f334(f271(x45731,x45732,x45733,x45733,x45734,f25(x45733)),f334(f271(x45735,x45731,x45733,x45733,x45736,f25(x45733)),x45737)),f334(f271(x45735,x45732,x45733,x45733,f334(f81(x45731,x45732,x45735,x45734),x45736),f25(x45733)),x45737))
% 164.74/165.08 [4574]E(f334(f271(x45741,x45741,x45742,x45743,f25(x45741),x45744),f334(f271(x45741,x45741,x45745,x45742,f25(x45741),x45746),x45747)),f334(f271(x45741,x45741,x45745,x45743,f25(x45741),f334(f81(x45742,x45743,x45745,x45744),x45746)),x45747))
% 164.74/165.08 [4584]E(f334(f271(x45841,x45842,x45843,x45843,x45844,f25(x45843)),f334(f271(x45841,x45841,x45845,x45843,f25(x45841),x45846),x45847)),f334(f271(x45842,x45842,x45845,x45843,f25(x45842),x45846),f334(f271(x45841,x45842,x45845,x45845,x45844,f25(x45845)),x45847)))
% 164.74/165.08 [4282]E(f334(f334(f296(x42821,x42822,x42823),f334(f334(f296(x42821,x42824,x42822),x42825),x42826)),x42827),f334(f334(f296(x42821,x42824,x42823),x42825),f334(f334(f296(x42824,x42822,x42823),x42826),x42827)))
% 164.74/165.08 [4350]E(f334(f334(f270(x43501,x43502,x43503),f334(f81(x43504,f926(x43502,x43503),x43501,x43505),x43506)),x43507),f334(f334(x43505,f334(x43506,f334(f265(x43501,x43502),x43507))),f334(f269(x43501,x43502),x43507)))
% 164.74/165.08 [4431]E(f334(f152(x44311,x44312,f334(f7(x44312,x44311,x44311),x44313),x44314),f334(f178(x44312),f334(f334(f164(x44315,x44312),x44316),x44317))),f334(f152(x44311,x44315,f334(f7(x44315,x44311,x44311),f334(f81(x44312,f926(x44311,x44311),x44315,x44313),x44316)),x44314),f334(f178(x44315),x44317)))
% 164.74/165.08 [4379]E(f334(f334(f48(x43791,f926(f925(x43792,x43793),a913)),x43794),f334(f334(f8(f926(f925(x43795,x43793),a913),f926(f925(x43792,x43793),a913),x43791),f334(f296(x43792,x43795,x43793),x43796)),x43797)),f334(f334(f296(x43792,x43795,x43793),x43796),f334(f334(f48(x43791,f926(f925(x43795,x43793),a913)),x43794),x43797)))
% 164.74/165.08 [4523]E(f334(f334(f48(x45231,f926(f925(x45232,x45233),a913)),x45234),f334(f334(f7(x45231,f926(f925(x45235,x45233),a913),f926(f925(x45232,x45233),a913)),f334(f334(f8(f926(f925(x45232,x45235),a913),f926(f926(f925(x45235,x45233),a913),f926(f925(x45232,x45233),a913)),x45231),f296(x45232,x45235,x45233)),x45236)),x45237)),f334(f334(f296(x45232,x45235,x45233),f334(f334(f48(x45231,f926(f925(x45232,x45235),a913)),x45234),x45236)),x45237))
% 164.74/165.08 [4524]E(f334(f152(x45241,x45242,f334(f334(f7(x45241,f926(x45242,x45243),f926(x45242,x45241)),f334(f334(f8(f926(x45243,x45241),f926(f926(x45242,x45243),f926(x45242,x45241)),x45241),f8(x45243,x45241,x45242)),x45244)),x45245),x45246),x45247),f334(f152(x45241,x45243,x45244,x45246),f334(f334(f164(x45242,x45243),x45245),x45247)))
% 164.74/165.08 [4585]E(f334(f334(f49(x45851,f926(x45852,a913)),x45853),f334(f334(f8(f926(x45854,f926(x45852,a913)),f926(x45852,a913),x45851),f334(f49(x45854,f926(x45852,a913)),x45855)),f334(f334(f7(x45851,f926(x45854,f926(x45852,a913)),f926(x45854,f926(x45852,a913))),f334(f334(f8(f926(f926(x45852,a913),f926(x45852,a913)),f926(f926(x45854,f926(x45852,a913)),f926(x45854,f926(x45852,a913))),x45851),f8(f926(x45852,a913),f926(x45852,a913),x45854)),f334(f334(f8(f926(x45852,a913),f926(f926(x45852,a913),f926(x45852,a913)),x45851),f123(f926(x45852,a913))),x45856))),x45857))),f334(f334(f123(f926(x45852,a913)),f334(f334(f49(x45851,f926(x45852,a913)),x45853),x45856)),f334(f334(f49(x45854,f926(x45852,a913)),x45855),x45857)))
% 164.74/165.08 [4586]E(f334(f334(f48(x45861,f926(x45862,a913)),x45863),f334(f334(f8(f926(x45864,f926(x45862,a913)),f926(x45862,a913),x45861),f334(f48(x45864,f926(x45862,a913)),x45865)),f334(f334(f7(x45861,f926(x45864,f926(x45862,a913)),f926(x45864,f926(x45862,a913))),f334(f334(f8(f926(f926(x45862,a913),f926(x45862,a913)),f926(f926(x45864,f926(x45862,a913)),f926(x45864,f926(x45862,a913))),x45861),f8(f926(x45862,a913),f926(x45862,a913),x45864)),f334(f334(f8(f926(x45862,a913),f926(f926(x45862,a913),f926(x45862,a913)),x45861),f114(f926(x45862,a913))),x45866))),x45867))),f334(f334(f114(f926(x45862,a913)),f334(f334(f48(x45861,f926(x45862,a913)),x45863),x45866)),f334(f334(f48(x45864,f926(x45862,a913)),x45865),x45867)))
% 164.74/165.08 [4578]E(f211(x45781,x45782,f334(f334(f334(x45783,x45784),x45785),x45786),f334(f334(f7(x45781,f925(a112,a112),f926(a112,f921(x45782))),f334(f334(f7(x45781,a112,f926(f925(a112,a112),f926(a112,f921(x45782)))),f334(f334(f7(x45781,a112,f926(a112,f926(f925(a112,a112),f926(a112,f921(x45782))))),x45787),x45784)),x45785)),x45786)),f334(f334(f334(f223(x45781,x45782,x45783,x45787),x45784),x45785),x45786))
% 164.74/165.08 [4592]E(f212(x45921,x45922,f334(f334(f334(x45923,x45924),x45925),x45926),f334(f334(f7(x45921,f925(a112,a112),f926(a112,f921(x45922))),f334(f334(f7(x45921,a112,f926(f925(a112,a112),f926(a112,f921(x45922)))),f334(f334(f7(x45921,a112,f926(a112,f926(f925(a112,a112),f926(a112,f921(x45922))))),x45927),x45924)),x45925)),x45926)),f225(x45921,x45922,x45923,x45927,x45924,x45925,x45926))
% 164.74/165.08 [4583]E(f209(x45831,x45832,f334(f334(f334(x45833,x45834),x45835),x45836),f334(f334(f7(x45831,f925(a112,a112),f926(a112,f921(f923(x45832)))),f334(f334(f7(x45831,a112,f926(f925(a112,a112),f926(a112,f921(f923(x45832))))),f334(f334(f7(x45831,a112,f926(a112,f926(f925(a112,a112),f926(a112,f921(f923(x45832)))))),x45837),x45834)),x45835)),x45836)),f334(f334(f334(f219(x45831,x45832,x45833,x45837),x45834),x45835),x45836))
% 164.74/165.08 [4594]E(f210(x45941,x45942,f334(f334(f334(x45943,x45944),x45945),x45946),f334(f334(f7(x45941,f925(a112,a112),f926(a112,f921(f923(x45942)))),f334(f334(f7(x45941,a112,f926(f925(a112,a112),f926(a112,f921(f923(x45942))))),f334(f334(f7(x45941,a112,f926(a112,f926(f925(a112,a112),f926(a112,f921(f923(x45942)))))),x45947),x45944)),x45945)),x45946)),f221(x45941,x45942,x45943,x45947,x45944,x45945,x45946))
% 164.74/165.08 [4493]E(f334(f271(x44931,x44932,x44933,x44934,x44935,x44936),f334(f334(f266(x44931,x44933),x44937),x44938)),f334(f334(f266(x44932,x44934),f334(x44935,x44937)),f334(x44936,x44938)))
% 164.74/165.08 [4596]E(f334(f334(f164(f925(x45961,x45962),f925(x45963,x45964)),f334(f270(x45961,x45962,f925(x45963,x45964)),f334(f334(f7(x45961,f926(x45962,x45964),f926(x45962,f925(x45963,x45964))),f334(f334(f8(f926(x45964,f925(x45963,x45964)),f926(f926(x45962,x45964),f926(x45962,f925(x45963,x45964))),x45961),f8(x45964,f925(x45963,x45964),x45962)),f334(f334(f8(x45963,f926(x45964,f925(x45963,x45964)),x45961),f266(x45963,x45964)),x45965))),x45966))),f334(f334(f191(x45961,x45962),x45967),x45968)),f334(f334(f191(x45963,x45964),f334(f334(f164(x45961,x45963),x45965),x45967)),f334(f334(f164(x45962,x45964),x45966),x45968)))
% 164.74/165.08 [4599]E(f334(f334(f164(f925(x45991,x45992),x45993),f334(f270(x45991,x45992,x45993),f334(f334(f8(f926(x45992,f925(x45991,x45994)),f926(x45992,x45993),x45991),f334(f8(f925(x45991,x45994),x45993,x45992),x45995)),f334(f334(f7(x45991,f926(x45992,x45994),f926(x45992,f925(x45991,x45994))),f334(f334(f8(f926(x45994,f925(x45991,x45994)),f926(f926(x45992,x45994),f926(x45992,f925(x45991,x45994))),x45991),f8(x45994,f925(x45991,x45994),x45992)),f266(x45991,x45994))),x45996)))),f334(f334(f191(x45991,x45992),x45997),x45998)),f334(f334(f164(f925(x45991,x45994),x45993),x45995),f334(f334(f191(x45991,x45994),x45997),f334(f334(f164(x45992,x45994),x45996),x45998))))
% 164.74/165.08 [4527]E(f334(f334(f164(f925(x45271,x45272),x45273),f334(f270(x45271,x45272,x45273),f334(f334(f8(f926(x45272,f925(x45274,x45272)),f926(x45272,x45273),x45271),f334(f8(f925(x45274,x45272),x45273,x45272),x45275)),f334(f334(f8(x45274,f926(x45272,f925(x45274,x45272)),x45271),f266(x45274,x45272)),x45276)))),f334(f334(f191(x45271,x45272),x45277),x45278)),f334(f334(f164(f925(x45274,x45272),x45273),x45275),f334(f334(f191(x45274,x45272),f334(f334(f164(x45271,x45274),x45276),x45277)),x45278)))
% 164.74/165.08 [4484]E(f334(f334(f270(x44841,x44842,x44843),f334(f334(f8(f926(x44842,f925(x44844,x44845)),f926(x44842,x44843),x44841),f334(f8(f925(x44844,x44845),x44843,x44842),f334(f270(x44844,x44845,x44843),x44846))),x44847)),x44848),f334(f334(f270(x44844,x44845,x44843),x44846),f334(f334(f270(x44841,x44842,f925(x44844,x44845)),x44847),x44848)))
% 164.74/165.08 [4600]E(f334(f334(f48(f925(x46001,x46002),f926(f925(x46003,x46004),a913)),f334(f334(f268(x46001,x46002),x46005),f334(f16(f926(x46002,a913),x46001),x46006))),f334(f270(x46001,x46002,f926(f925(x46003,x46004),a913)),f334(f334(f7(x46001,f926(x46002,f926(x46003,f926(x46004,a913))),f926(x46002,f926(f925(x46003,x46004),a913))),f334(f334(f8(f926(f926(x46003,f926(x46004,a913)),f926(f925(x46003,x46004),a913)),f926(f926(x46002,f926(x46003,f926(x46004,a913))),f926(x46002,f926(f925(x46003,x46004),a913))),x46001),f8(f926(x46003,f926(x46004,a913)),f926(f925(x46003,x46004),a913),x46002)),f334(f334(f8(f926(x46003,a913),f926(f926(x46003,f926(x46004,a913)),f926(f925(x46003,x46004),a913)),x46001),f268(x46003,x46004)),x46007))),f334(f334(f8(f926(x46004,a913),f926(x46003,f926(x46004,a913)),x46002),f16(f926(x46004,a913),x46003)),x46008)))),f334(f334(f268(x46003,x46004),f334(f334(f48(x46001,f926(x46003,a913)),x46005),x46007)),f334(f16(f926(x46004,a913),x46003),f334(f334(f48(x46002,f926(x46004,a913)),x46006),x46008))))
% 164.74/165.08 [4631]E(f35(x46311,x46312,x46313,x46314,x46315,x46316,x46317,x46318,x46319,a26),x46312)
% 164.74/165.08 [4541]E(f334(f334(f272(x45411,x45412,x45413,x45414),f334(f334(f272(x45411,x45415,x45416,f925(x45412,x45413)),x45417),x45418)),x45419),f334(f334(f272(x45411,x45415,x45416,x45414),x45417),f334(f334(f7(x45415,f926(x45412,f926(x45413,x45414)),f926(x45416,x45414)),f334(f334(f8(f926(x45416,f925(x45412,x45413)),f926(f926(x45412,f926(x45413,x45414)),f926(x45416,x45414)),x45415),f272(x45416,x45412,x45413,x45414)),x45418)),x45419)))
% 164.74/165.08 [4570]E(f334(f81(f925(x45701,x45702),f925(x45703,x45704),f925(x45705,x45706),f271(x45701,x45703,x45702,x45704,x45707,x45708)),f271(x45705,x45701,x45706,x45702,x45709,x457010)),f271(x45705,x45703,x45706,x45704,f334(f81(x45701,x45703,x45705,x45707),x45709),f334(f81(x45702,x45704,x45706,x45708),x457010)))
% 164.74/165.08 [4632]E(f35(x46321,x46322,x46323,x46324,x46325,x46326,x46327,x46328,x46329,f28(x463210,x463211)),f334(f334(x46323,x463210),x463211))
% 164.74/165.08 [4633]E(f35(x46331,x46332,x46333,x46334,x46335,x46336,x46337,x46338,x46339,f34(x463310,x463311)),f334(f334(x46335,x463310),x463311))
% 164.74/165.08 [4634]E(f35(x46341,x46342,x46343,x46344,x46345,x46346,x46347,x46348,x46349,f33(x463410,x463411)),f334(f334(x46347,x463410),x463411))
% 164.74/165.08 [4576]E(f334(f271(x45761,x45762,x45763,x45764,x45765,x45766),f334(f271(x45767,x45761,x45768,x45763,x45769,x457610),x457611)),f334(f271(x45767,x45762,x45768,x45764,f334(f81(x45761,x45762,x45767,x45765),x45769),f334(f81(x45763,x45764,x45768,x45766),x457610)),x457611))
% 164.74/165.08 [4635]E(f35(x46351,x46352,x46353,x46354,x46355,x46356,x46357,x46358,x46359,f30(x463510,x463511,x463512)),f334(f334(f334(x46354,x463510),x463511),x463512))
% 164.74/165.08 [4636]E(f35(x46361,x46362,x46363,x46364,x46365,x46366,x46367,x46368,x46369,f31(x463610,x463611,x463612)),f334(f334(f334(x46366,x463610),x463611),x463612))
% 164.74/165.08 [6618]P9(a5000)+P107(f334(f334(f336(f925(a916,a915)),a725),f334(f182(f925(a916,a915)),a29)))
% 164.74/165.08 [8608]P9(a5000)+~P107(f334(f334(f270(a916,a915,a913),f334(f16(f926(a915,a913),a916),a27)),a725))
% 164.74/165.08 [4746]~P2(x47461)+P2(f923(x47461))
% 164.74/165.08 [4747]~P64(x47471)+P64(f923(x47471))
% 164.74/165.08 [4748]~P105(x47481)+P105(f920(x47481))
% 164.74/165.08 [4751]~P145(x47511)+~E(f87(x47511),f2(x47511))
% 164.74/165.08 [4753]~E(x47531,f2(a112))+E(f334(a22,x47531),f2(a1))
% 164.74/165.08 [4754]~E(x47541,f2(a1))+E(f91(a1,x47541),f2(a1))
% 164.74/165.08 [4760]~P146(x47601)+P27(x47601,f2(x47601))
% 164.74/165.08 [4762]~P110(x47621)+P12(x47621,f126(x47621))
% 164.74/165.08 [4771]P107(x47711)+P107(f334(a329,x47711))
% 164.74/165.08 [4817]~P146(x48171)+~P27(x48171,f87(x48171))
% 164.74/165.08 [4860]~P107(x48601)+~P107(f334(a329,x48601))
% 164.74/165.08 [4881]E(f334(a117,x48811),f2(a919))+~P107(f334(a203,x48811))
% 164.74/165.08 [4943]~P102(x49431)+P13(x49431,x49431,f123(x49431))
% 164.74/165.08 [4944]~P103(x49441)+P13(x49441,x49441,f114(x49441))
% 164.74/165.08 [4945]~P99(x49451)+P13(x49451,x49451,f90(x49451))
% 164.74/165.08 [4946]~P110(x49461)+P13(x49461,x49461,f246(x49461))
% 164.74/165.08 [4947]~P110(x49471)+P13(x49471,x49471,f247(x49471))
% 164.74/165.08 [4948]~P69(x49481)+P14(x49481,x49481,f90(x49481))
% 164.74/165.08 [4757]~E(x47571,f2(a919))+E(f334(f113(a1),x47571),f2(a1))
% 164.74/165.08 [4764]~P97(x47641)+E(f334(f116(x47641),a92),f2(x47641))
% 164.74/165.08 [4767]~E(f626(x47671),f2(a919))+E(f334(f175(a919),x47671),f2(a919))
% 164.74/165.08 [4768]~P109(x47681)+E(f250(x47681,f248(x47681)),f246(x47681))
% 164.74/165.08 [4769]~P109(x47691)+E(f251(x47691,f248(x47691)),f247(x47691))
% 164.74/165.08 [4770]~P93(x47701)+E(f91(x47701,f2(x47701)),f2(x47701))
% 164.74/165.08 [4779]~P146(x47791)+E(f334(f113(x47791),f87(a919)),f87(x47791))
% 164.74/165.08 [4780]~P146(x47801)+E(f334(f113(x47801),f2(a919)),f2(x47801))
% 164.74/165.08 [4781]~P142(x47811)+E(f334(f115(x47811),f87(a1)),f87(x47811))
% 164.74/165.08 [4782]~P142(x47821)+E(f334(f115(x47821),f2(a1)),f2(x47821))
% 164.74/165.08 [4783]E(x47831,f2(a919))+~E(f334(f113(a1),x47831),f2(a1))
% 164.74/165.08 [4811]~P86(x48111)+E(f334(f88(x48111),f198(x48111)),f256(x48111))
% 164.74/165.08 [4812]~P86(x48121)+E(f334(f88(x48121),f256(x48121)),f198(x48121))
% 164.74/165.08 [4813]~P71(x48131)+E(f334(f88(x48131),f2(x48131)),f2(x48131))
% 164.74/165.08 [4814]~P122(x48141)+E(f334(f84(x48141),f87(x48141)),f87(x48141))
% 164.74/165.08 [4815]~P91(x48151)+E(f334(f84(x48151),f2(x48151)),f2(x48151))
% 164.74/165.08 [4816]~P82(x48161)+E(f334(f175(x48161),f126(x48161)),f2(x48161))
% 164.74/165.08 [4834]~P37(x48341)+P40(f334(f182(a1),x48341))
% 164.74/165.08 [4865]~P97(x48651)+E(f334(f88(x48651),f87(x48651)),f334(f116(x48651),a110))
% 164.74/165.08 [4880]~P97(x48801)+P27(x48801,f334(f116(x48801),a92))
% 164.74/165.08 [4905]P37(x49051)+~P40(f334(f182(a1),x49051))
% 164.74/165.08 [4949]E(f334(f113(a1),f334(a117,x49491)),x49491)+P107(f334(a203,x49491))
% 164.74/165.08 [4967]~P109(x49671)+E(f102(x49671,x49671,f5(x49671)),f103(x49671))
% 164.74/165.08 [5019]~P118(x50191)+E(f259(x50191,f87(x50191),f90(x50191)),f258(x50191))
% 164.74/165.08 [5049]~P97(x50491)+~P27(x50491,f334(f116(x50491),a110))
% 164.74/165.08 [5189]E(f334(f84(a1),x51891),x51891)+P107(f334(f334(f249(a1),x51891),f2(a1)))
% 164.74/165.08 [5209]~E(f334(a117,x52091),f2(a919))+P107(f334(f334(f248(a1),x52091),f2(a1)))
% 164.74/165.08 [5271]~P107(f334(a203,x52711))+P107(f334(f334(f249(a1),x52711),f2(a1)))
% 164.74/165.08 [5311]~P142(x53111)+P107(f334(f334(f336(x53111),f87(x53111)),f122(x53111)))
% 164.74/165.08 [5312]~P146(x53121)+P107(f334(f334(f336(x53121),f87(x53121)),f196(x53121)))
% 164.74/165.08 [5313]~P142(x53131)+P107(f334(f334(f336(x53131),f2(x53131)),f122(x53131)))
% 164.74/165.08 [5314]~P146(x53141)+P107(f334(f334(f336(x53141),f2(x53141)),f196(x53141)))
% 164.74/165.08 [5315]~P125(x53151)+P107(f334(f334(f248(x53151),f2(x53151)),f87(x53151)))
% 164.74/165.08 [5316]~P125(x53161)+P107(f334(f334(f249(x53161),f2(x53161)),f87(x53161)))
% 164.74/165.08 [5375]E(x53751,f2(a919))+~P107(f334(f334(f248(a919),x53751),f2(a919)))
% 164.74/165.08 [5418]E(f334(a117,x54181),f2(a919))+~P107(f334(f334(f248(a1),x54181),f2(a1)))
% 164.74/165.08 [5479]P107(f334(a203,x54791))+~P107(f334(f334(f249(a1),x54791),f2(a1)))
% 164.74/165.08 [5484]~P110(x54841)+P14(x54841,f920(x54841),f158(x54841,x54841,f5(x54841)))
% 164.74/165.08 [5500]P40(x55001)+~P107(f334(f334(f248(a1),f2(a1)),f488(x55001)))
% 164.74/165.08 [5505]E(f334(f84(a1),x55051),f334(f88(a1),x55051))+~P107(f334(f334(f249(a1),x55051),f2(a1)))
% 164.74/165.08 [5672]~P125(x56721)+~P107(f334(f334(f248(x56721),f87(x56721)),f2(x56721)))
% 164.74/165.08 [5673]~P125(x56731)+~P107(f334(f334(f249(x56731),f87(x56731)),f2(x56731)))
% 164.74/165.08 [5683]~E(x56831,f2(a919))+P107(f334(f334(f248(a1),f334(f113(a1),x56831)),f2(a1)))
% 164.74/165.08 [5684]~E(x56841,f2(a1))+P107(f334(f334(f249(a1),f334(f84(a1),x56841)),f87(a1)))
% 164.74/165.08 [5803]~P82(x58031)+E(f152(x58031,x58031,f89(x58031),f2(x58031)),f175(x58031))
% 164.74/165.08 [5976]~P104(x59761)+P23(a919,x59761,f113(x59761),f256(f926(a919,a913)))
% 164.74/165.08 [6175]E(x61751,f2(a919))+~P107(f334(f334(f248(a1),f334(f113(a1),x61751)),f2(a1)))
% 164.74/165.08 [6176]E(x61761,f2(a1))+~P107(f334(f334(f249(a1),f334(f84(a1),x61761)),f87(a1)))
% 164.74/165.08 [6970]~P107(f334(f334(f249(a1),x69701),f2(a1)))+P107(f334(f334(f249(a1),f334(f334(f89(a1),x69701),x69701)),f2(a1)))
% 164.74/165.08 [7518]P107(f334(f334(f249(a1),x75181),f2(a1)))+~P107(f334(f334(f249(a1),f334(f334(f89(a1),x75181),x75181)),f2(a1)))
% 164.74/165.08 [8067]E(x80671,f334(a3,f2(a919)))+P107(f334(f334(f249(a919),f334(f334(f23(a919),f334(a20,x80671)),f334(a125,f2(a919)))),f334(a20,x80671)))
% 164.74/165.08 [8847]~P107(f334(f334(f249(a1),x88471),f2(a1)))+P107(f334(f334(f249(a1),f334(f334(f23(a1),f334(f334(f89(a1),x88471),x88471)),a110)),f2(a1)))
% 164.74/165.08 [8942]~P107(f334(f334(f249(a1),x89421),f2(a1)))+P107(f334(f334(f249(a1),f334(f334(f89(a1),f334(f334(f89(a1),f87(a1)),x89421)),x89421)),f2(a1)))
% 164.74/165.08 [9276]P107(f334(f334(f249(a1),x92761),f2(a1)))+~P107(f334(f334(f249(a1),f334(f334(f23(a1),f334(f334(f89(a1),x92761),x92761)),a110)),f2(a1)))
% 164.74/165.08 [9337]P107(f334(f334(f249(a1),x93371),f2(a1)))+~P107(f334(f334(f249(a1),f334(f334(f89(a1),f334(f334(f89(a1),f87(a1)),x93371)),x93371)),f2(a1)))
% 164.74/165.08 [4854]~E(a92,x48541)+E(f334(f334(f89(a1),x48541),x48541),a92)
% 164.74/165.08 [4855]~E(x48551,a92)+E(f334(f334(f89(a1),x48551),x48551),a92)
% 164.74/165.08 [4866]E(x48661,f2(a1))+E(f334(f334(f45(a1),x48661),x48661),f87(a1))
% 164.74/165.08 [4996]E(x49961,a92)+~E(f334(f334(f89(a1),x49961),x49961),a92)
% 164.74/165.08 [4997]E(a92,x49971)+~E(f334(f334(f89(a1),x49971),x49971),a92)
% 164.74/165.08 [5009]~P3(x50091)+E(f47(x50091,f198(f926(x50091,a913))),f256(x50091))
% 164.74/165.08 [5010]~P3(x50101)+E(f47(x50101,f256(f926(x50101,a913))),f198(x50101))
% 164.74/165.08 [5011]~P3(x50111)+E(f46(x50111,f198(f926(x50111,a913))),f198(x50111))
% 164.74/165.08 [5012]~P3(x50121)+E(f46(x50121,f256(f926(x50121,a913))),f256(x50121))
% 164.74/165.08 [5013]~P110(x50131)+E(f149(x50131,f198(f926(x50131,a913))),f126(x50131))
% 164.74/165.08 [5148]E(x51481,f2(a919))+P107(f334(f334(f249(a919),f2(a919)),x51481))
% 164.74/165.08 [5166]~P4(x51661)+P107(f334(f334(f248(a1),f2(a1)),x51661))
% 164.74/165.08 [5200]~E(f334(f116(a919),x52001),f2(a919))+P107(f334(f334(f248(a1),x52001),a92))
% 164.74/165.08 [5205]P40(x52051)+P107(f334(f334(f336(a1),f488(x52051)),x52051))
% 164.74/165.08 [5206]E(x52061,f334(a3,f2(a919)))+P107(f334(f334(f248(a112),f87(a112)),x52061))
% 164.74/165.08 [5246]P107(f334(a203,x52461))+P107(f334(f334(f248(a1),f2(a1)),x52461))
% 164.74/165.08 [5293]E(f334(f113(a1),f334(a117,x52931)),f2(a1))+P107(f334(f334(f248(a1),f2(a1)),x52931))
% 164.74/165.08 [5358]E(f334(f113(a1),f334(f116(a919),x53581)),f334(f116(a1),x53581))+P107(f334(a203,f334(f116(a1),x53581)))
% 164.74/165.08 [5381]E(f334(f116(a919),x53811),f2(a919))+~P107(f334(a203,f334(f116(a1),x53811)))
% 164.74/165.08 [5382]E(f334(f116(a919),x53821),f2(a919))+~P107(f334(f334(f248(a1),x53821),a92))
% 164.74/165.08 [5415]P4(x54151)+~P107(f334(f334(f248(a1),f2(a1)),x54151))
% 164.74/165.08 [5487]E(f334(a125,f451(x54871)),x54871)+~P107(f334(f334(f249(a919),f2(a919)),x54871))
% 164.74/165.08 [5494]E(f334(a125,f334(f116(a919),x54941)),f87(a919))+~P107(f334(a203,f334(f116(a1),x54941)))
% 164.74/165.08 [5501]E(f334(f113(a1),f520(x55011)),x55011)+~P107(f334(f334(f249(a1),f2(a1)),x55011))
% 164.74/165.08 [5508]~E(x55081,f334(a3,f2(a919)))+~P107(f334(f334(f248(a112),f87(a112)),x55081))
% 164.74/165.08 [5515]E(f334(f113(a1),f334(f116(a919),x55151)),f2(a1))+~P107(f334(a203,f334(f116(a1),x55151)))
% 164.74/165.08 [5540]E(f334(f175(a919),x55401),f2(a919))+P107(f334(f334(f336(a919),f626(x55401)),f334(f182(a919),x55401)))
% 164.74/165.08 [5560]E(f334(f113(a1),f334(a117,x55601)),x55601)+~P107(f334(f334(f248(a1),f2(a1)),x55601))
% 164.74/165.08 [5568]~P107(f334(a203,x55681))+~P107(f334(f334(f248(a1),f2(a1)),x55681))
% 164.74/165.08 [5665]E(f334(f334(f89(a919),f87(a919)),f334(f116(a919),x56651)),f87(a919))+~P107(f334(f334(f249(a1),x56651),a92))
% 164.74/165.08 [5725]E(x57251,f2(a919))+~P107(f334(f334(f249(a919),x57251),f334(a125,f2(a919))))
% 164.74/165.08 [5764]E(f334(f334(f23(a919),f334(f116(a919),x57641)),f87(a919)),f2(a919))+~P107(f334(f334(f248(a1),x57641),a92))
% 164.74/165.08 [5765]E(f334(f334(f89(a919),f334(f116(a919),x57651)),f87(a919)),f87(a919))+~P107(f334(f334(f249(a1),x57651),a92))
% 164.74/165.08 [5775]~P40(x57751)+E(f334(f44(a919),f334(f317(a1,a919,a117),x57751)),f334(f44(a1),x57751))
% 164.74/165.08 [5804]~P110(x58041)+E(f251(x58041,f334(f7(x58041,x58041,a913),f248(x58041))),f246(x58041))
% 164.74/165.08 [5805]~P110(x58051)+E(f250(x58051,f334(f7(x58051,x58051,a913),f248(x58051))),f247(x58051))
% 164.74/165.08 [5815]E(f54(a919,f334(a125,f2(a919)),f334(f116(a919),x58151)),f334(a125,f2(a919)))+~P107(f334(a203,f334(f116(a1),x58151)))
% 164.74/165.08 [5824]~P107(f334(f334(f249(a1),f2(a1)),x58241))+P107(f334(f334(f248(a1),f87(a1)),x58241))
% 164.74/165.08 [5825]P107(f334(f334(f249(a1),f2(a1)),x58251))+~P107(f334(f334(f248(a1),f87(a1)),x58251))
% 164.74/165.08 [5836]E(f334(a125,f334(f334(f23(a919),x58361),f87(a919))),x58361)+~P107(f334(f334(f249(a919),f2(a919)),x58361))
% 164.74/165.08 [5894]P107(f334(f334(f249(a919),f2(a919)),f520(x58941)))+~P107(f334(f334(f249(a1),f2(a1)),x58941))
% 164.74/165.08 [5953]E(f54(a1,f334(f116(a1),a110),x59531),f334(f334(f23(a1),x59531),f87(a1)))+~P107(f334(f334(f249(a1),f2(a1)),x59531))
% 164.74/165.08 [5989]~P107(f334(f334(f249(a1),a92),x59891))+P107(f334(f334(f249(a919),f2(a919)),f334(f116(a919),x59891)))
% 164.74/165.08 [6039]P107(f334(f334(f249(a919),f2(a919)),f334(a117,x60391)))+~P107(f334(f334(f249(a1),f2(a1)),x60391))
% 164.74/165.08 [6090]~P107(f334(f334(f249(a919),f2(a919)),x60901))+P107(f334(f334(f249(a1),f2(a1)),f334(f113(a1),x60901)))
% 164.74/165.08 [6128]~P107(f334(f334(f249(a919),f2(a919)),f334(a117,x61281)))+P107(f334(f334(f249(a1),f2(a1)),x61281))
% 164.74/165.08 [6143]~P40(x61431)+E(f334(f317(a919,a1,f113(a1)),f334(f317(a1,a919,a117),x61431)),x61431)
% 164.74/165.08 [6156]P107(f334(f334(f249(a1),a92),x61561))+~P107(f334(f334(f249(a919),f2(a919)),f334(f116(a919),x61561)))
% 164.74/165.08 [6213]P107(f334(f334(f249(a919),f2(a919)),x62131))+~P107(f334(f334(f249(a1),f2(a1)),f334(f113(a1),x62131)))
% 164.74/165.08 [6330]E(f334(f317(a919,a1,f113(a1)),f334(f290(a919),f334(a117,x63301))),f334(f309(a1,f2(a1)),x63301))+~P107(f334(f334(f248(a1),f2(a1)),x63301))
% 164.74/165.08 [6346]~P125(x63461)+P107(f334(f334(f249(x63461),f2(x63461)),f334(f334(f89(x63461),f87(x63461)),f87(x63461))))
% 164.74/165.08 [6395]P107(f334(f334(f249(a919),f334(a125,f2(a919))),f334(a117,x63951)))+~P107(f334(f334(f249(a1),f87(a1)),x63951))
% 164.74/165.08 [6489]E(x64891,f2(a1))+P107(f334(f58(f2(a1),x64891),f334(f334(f266(a1,a1),f2(a1)),f2(a1))))
% 164.74/165.08 [6658]~P107(f334(f334(f249(a919),f334(a125,f2(a919))),f334(a117,x66581)))+P107(f334(f334(f249(a1),f87(a1)),x66581))
% 164.74/165.08 [7080]~P115(x70801)+P38(x70801,f334(f254(f925(x70801,x70801)),f334(f270(x70801,x70801,a913),f249(x70801))))
% 164.74/165.08 [5712]E(f334(f116(a919),f334(f334(f23(a1),x57121),a110)),f334(a125,f334(f116(a919),x57121)))+P107(f334(a203,f334(f116(a1),x57121)))
% 164.74/165.08 [5728]~P37(x57281)+E(f334(f334(f164(a919,a1),f113(a1)),f334(f334(f164(a1,a919),a117),x57281)),x57281)
% 164.74/165.08 [5842]E(f334(f88(a1),f334(f113(a1),f334(a125,f521(x58421)))),x58421)+~P107(f334(f334(f249(a1),x58421),f2(a1)))
% 164.74/165.08 [5852]E(f334(f334(f89(a919),f87(a919)),f334(f116(a919),x58521)),f334(f116(a919),f334(f334(f23(a1),x58521),a110)))+P107(f334(f334(f249(a1),x58521),a92))
% 164.74/165.08 [5896]E(f334(f334(f45(a1),f334(f116(a1),a110)),x58961),f334(f116(a1),a110))+~P107(f334(f334(f249(a1),f2(a1)),x58961))
% 164.74/165.08 [5985]E(f334(f334(f23(a919),f334(f116(a919),x59851)),f87(a919)),f334(f116(a919),f334(f334(f89(a1),x59851),a110)))+P107(f334(f334(f248(a1),x59851),a92))
% 164.74/165.08 [5986]E(f334(f334(f89(a919),f334(f116(a919),x59861)),f87(a919)),f334(f116(a919),f334(f334(f23(a1),x59861),a110)))+P107(f334(f334(f249(a1),x59861),a92))
% 164.74/165.08 [6027]E(f334(a117,f334(f334(f89(a1),f87(a1)),x60271)),f334(a125,f334(a117,x60271)))+~P107(f334(f334(f248(a1),f2(a1)),x60271))
% 164.74/165.08 [6062]E(f334(a125,f334(f334(f23(a919),x60621),f334(a125,f2(a919)))),x60621)+~P107(f334(f334(f249(a919),f2(a919)),x60621))
% 164.74/165.08 [6276]E(f54(a919,f334(a125,f2(a919)),f334(f116(a919),x62761)),f334(a117,f54(a1,f87(a1),f334(f116(a1),x62761))))+P107(f334(a203,f334(f116(a1),x62761)))
% 164.74/165.08 [6323]~P107(f334(f334(f248(a1),a92),x63231))+P107(f334(f334(f248(a1),a92),f334(f334(f89(a1),x63231),x63231)))
% 164.74/165.08 [6324]~P107(f334(f334(f249(a1),a110),x63241))+P107(f334(f334(f248(a1),a110),f334(f334(f89(a1),x63241),x63241)))
% 164.74/165.08 [6325]~P107(f334(f334(f249(a1),a92),x63251))+P107(f334(f334(f249(a1),a92),f334(f334(f89(a1),x63251),x63251)))
% 164.74/165.08 [6326]~P107(f334(f334(f249(a1),a110),x63261))+P107(f334(f334(f249(a1),a110),f334(f334(f89(a1),x63261),x63261)))
% 164.74/165.08 [6502]~P107(f334(f70(x65021),f256(f926(x65021,a913))))+P107(f334(f70(f923(x65021)),f256(f926(f923(x65021),a913))))
% 164.74/165.08 [6590]~P107(f334(f334(f248(a1),f2(a1)),x65901))+P107(f334(f334(f249(a1),f2(a1)),f334(f334(f89(a1),f87(a1)),x65901)))
% 164.74/165.08 [6597]E(f334(f265(a1,a1),f56(f87(a1),f334(f116(a1),x65971))),f334(f334(f45(a1),f87(a1)),f334(f116(a1),x65971)))+~P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),x65971)))
% 164.74/165.08 [6617]E(f334(f269(a1,a1),f56(f87(a1),f334(f116(a1),x66171))),f54(a1,f87(a1),f334(f116(a1),x66171)))+~P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),x66171)))
% 164.74/165.08 [6629]P107(f334(f70(x66291),f256(f926(x66291,a913))))+~P107(f334(f70(f923(x66291)),f256(f926(f923(x66291),a913))))
% 164.74/165.08 [6659]P107(f334(f334(f248(a1),a92),x66591))+~P107(f334(f334(f248(a1),a92),f334(f334(f89(a1),x66591),x66591)))
% 164.74/165.08 [6660]P107(f334(f334(f249(a1),a92),x66601))+~P107(f334(f334(f249(a1),a92),f334(f334(f89(a1),x66601),x66601)))
% 164.74/165.08 [6661]P107(f334(f334(f249(a1),a110),x66611))+~P107(f334(f334(f248(a1),a110),f334(f334(f89(a1),x66611),x66611)))
% 164.74/165.08 [6662]P107(f334(f334(f249(a1),a110),x66621))+~P107(f334(f334(f249(a1),a110),f334(f334(f89(a1),x66621),x66621)))
% 164.74/165.08 [6974]~P107(f334(f70(x69741),f256(f926(x69741,a913))))+P107(f334(f334(f249(a919),f2(a919)),f334(f44(x69741),f256(f926(x69741,a913)))))
% 164.74/165.08 [7557]P107(f334(f70(a919),x75571))+~P107(f334(f70(a1),f334(f317(a919,a1,f113(a1)),x75571)))
% 164.74/165.08 [5640]~E(a110,x56401)+E(f334(f334(f23(a1),f334(f334(f89(a1),x56401),x56401)),a110),a110)
% 164.74/165.08 [5641]~E(x56411,a110)+E(f334(f334(f23(a1),f334(f334(f89(a1),x56411),x56411)),a110),a110)
% 164.74/165.08 [6151]E(x61511,a110)+~E(f334(f334(f23(a1),f334(f334(f89(a1),x61511),x61511)),a110),a110)
% 164.74/165.08 [6152]E(a110,x61521)+~E(f334(f334(f23(a1),f334(f334(f89(a1),x61521),x61521)),a110),a110)
% 164.74/165.08 [6557]~E(f334(f116(a919),x65571),f2(a919))+P107(f334(a203,f334(f116(a1),f334(f334(f89(a1),x65571),a110))))
% 164.74/165.08 [6903]~P107(f334(a203,f334(f116(a1),x69031)))+P107(f334(a203,f334(f116(a1),f334(f334(f89(a1),x69031),x69031))))
% 164.74/165.08 [6904]~P107(f334(f334(f248(a1),x69041),a92))+P107(f334(f334(f248(a1),f334(f334(f89(a1),x69041),x69041)),a92))
% 164.74/165.08 [6905]~P107(f334(f334(f248(a1),x69051),a110))+P107(f334(f334(f248(a1),f334(f334(f89(a1),x69051),x69051)),a110))
% 164.74/165.08 [6906]~P107(f334(f334(f249(a1),x69061),a92))+P107(f334(f334(f249(a1),f334(f334(f89(a1),x69061),x69061)),a92))
% 164.74/165.08 [6907]~P107(f334(f334(f248(a1),x69071),a110))+P107(f334(f334(f249(a1),f334(f334(f89(a1),x69071),x69071)),a110))
% 164.74/165.08 [7225]E(f334(f116(a919),x72251),f2(a919))+~P107(f334(a203,f334(f116(a1),f334(f334(f89(a1),x72251),a110))))
% 164.74/165.08 [7471]~P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),x74711)))+P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),f334(f334(f89(a1),x74711),x74711))))
% 164.74/165.08 [7472]P107(f334(a203,f334(f116(a1),x74721)))+~P107(f334(a203,f334(f116(a1),f334(f334(f89(a1),x74721),x74721))))
% 164.74/165.08 [7473]P107(f334(f334(f248(a1),x74731),a92))+~P107(f334(f334(f248(a1),f334(f334(f89(a1),x74731),x74731)),a92))
% 164.74/165.08 [7474]P107(f334(f334(f248(a1),x74741),a110))+~P107(f334(f334(f248(a1),f334(f334(f89(a1),x74741),x74741)),a110))
% 164.74/165.08 [7475]P107(f334(f334(f248(a1),x74751),a110))+~P107(f334(f334(f249(a1),f334(f334(f89(a1),x74751),x74751)),a110))
% 164.74/165.08 [7476]P107(f334(f334(f249(a1),x74761),a92))+~P107(f334(f334(f249(a1),f334(f334(f89(a1),x74761),x74761)),a92))
% 164.74/165.08 [7835]E(f334(a120,f616(x78351)),x78351)+~P107(f334(f334(f336(f926(f925(a919,a919),a913)),x78351),a111))
% 164.74/165.08 [6476]~P97(x64761)+E(f334(f116(x64761),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f87(x64761))
% 164.74/165.08 [6953]~P107(f334(a203,f334(f116(a1),x69531)))+E(f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),x69531),x69531)),a110)),f2(a919))
% 164.74/165.08 [8012]~P107(f334(f334(f249(a1),f334(f116(a1),x80121)),f2(a1)))+E(f334(f265(a1,a1),f334(a60,f59(f334(f88(a1),f87(a1)),f334(f88(a1),f334(f116(a1),x80121))))),f334(f334(f45(a1),f87(a1)),f334(f116(a1),x80121)))
% 164.74/165.08 [8025]~P107(f334(f334(f249(a1),f334(f116(a1),x80251)),f2(a1)))+E(f334(f269(a1,a1),f334(a60,f59(f334(f88(a1),f87(a1)),f334(f88(a1),f334(f116(a1),x80251))))),f54(a1,f87(a1),f334(f116(a1),x80251)))
% 164.74/165.08 [8074]~P107(f334(f334(f248(a1),a92),x80741))+P107(f334(f334(f248(a1),a92),f334(f334(f23(a1),f334(f334(f89(a1),x80741),x80741)),a110)))
% 164.74/165.08 [8075]~P107(f334(f334(f248(a1),a110),x80751))+P107(f334(f334(f248(a1),a110),f334(f334(f23(a1),f334(f334(f89(a1),x80751),x80751)),a110)))
% 164.74/165.08 [8076]~P107(f334(f334(f248(a1),a92),x80761))+P107(f334(f334(f249(a1),a92),f334(f334(f23(a1),f334(f334(f89(a1),x80761),x80761)),a110)))
% 164.74/165.08 [8077]~P107(f334(f334(f249(a1),a110),x80771))+P107(f334(f334(f249(a1),a110),f334(f334(f23(a1),f334(f334(f89(a1),x80771),x80771)),a110)))
% 164.74/165.08 [8378]~P97(x83781)+~P27(x83781,f334(f116(x83781),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))
% 164.74/165.08 [8562]P107(f334(f334(f248(a1),a92),x85621))+~P107(f334(f334(f248(a1),a92),f334(f334(f23(a1),f334(f334(f89(a1),x85621),x85621)),a110)))
% 164.74/165.08 [8563]P107(f334(f334(f248(a1),a92),x85631))+~P107(f334(f334(f249(a1),a92),f334(f334(f23(a1),f334(f334(f89(a1),x85631),x85631)),a110)))
% 164.74/165.08 [8564]P107(f334(f334(f248(a1),a110),x85641))+~P107(f334(f334(f248(a1),a110),f334(f334(f23(a1),f334(f334(f89(a1),x85641),x85641)),a110)))
% 164.74/165.08 [8565]P107(f334(f334(f249(a1),a110),x85651))+~P107(f334(f334(f249(a1),a110),f334(f334(f23(a1),f334(f334(f89(a1),x85651),x85651)),a110)))
% 164.74/165.08 [8893]E(f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),x88931),x88931)),a110)),f334(f334(f95(a919,a919),f334(f116(a919),x88931)),f334(f334(f8(a919,a919,a919),a125),f334(f334(f18(a919,a919,a919),f89(a919)),f5(a919)))))+P107(f334(a203,f334(f116(a1),x88931)))
% 164.74/165.08 [9778]E(x97781,f198(f926(f925(a919,a919),a913)))+P107(f334(f334(f336(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),f334(f334(f266(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),x97781),f198(f926(f925(a919,a919),a913)))),a42))
% 164.74/165.08 [8821]~P107(f334(a203,f334(f116(a1),x88211)))+P107(f334(a203,f334(f116(a1),f334(f334(f23(a1),f334(f334(f89(a1),x88211),x88211)),a110))))
% 164.74/165.08 [8822]~P107(f334(f334(f249(a1),x88221),a92))+P107(f334(f334(f248(a1),f334(f334(f23(a1),f334(f334(f89(a1),x88221),x88221)),a110)),a92))
% 164.74/165.08 [8823]~P107(f334(f334(f248(a1),x88231),a110))+P107(f334(f334(f248(a1),f334(f334(f23(a1),f334(f334(f89(a1),x88231),x88231)),a110)),a110))
% 164.74/165.08 [8824]~P107(f334(f334(f249(a1),x88241),a92))+P107(f334(f334(f249(a1),f334(f334(f23(a1),f334(f334(f89(a1),x88241),x88241)),a110)),a92))
% 164.74/165.08 [8825]~P107(f334(f334(f249(a1),x88251),a110))+P107(f334(f334(f249(a1),f334(f334(f23(a1),f334(f334(f89(a1),x88251),x88251)),a110)),a110))
% 164.74/165.08 [8933]~P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),x89331)))+P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),f334(f334(f23(a1),f334(f334(f89(a1),x89331),x89331)),a110))))
% 164.74/165.08 [9100]~P97(x91001)+E(f334(f334(f89(x91001),f87(x91001)),f87(x91001)),f334(f116(x91001),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))
% 164.74/165.08 [9260]P107(f334(a203,f334(f116(a1),x92601)))+~P107(f334(a203,f334(f116(a1),f334(f334(f23(a1),f334(f334(f89(a1),x92601),x92601)),a110))))
% 164.74/165.08 [9261]P107(f334(f334(f248(a1),x92611),a110))+~P107(f334(f334(f248(a1),f334(f334(f23(a1),f334(f334(f89(a1),x92611),x92611)),a110)),a110))
% 164.74/165.08 [9262]P107(f334(f334(f249(a1),x92621),a92))+~P107(f334(f334(f248(a1),f334(f334(f23(a1),f334(f334(f89(a1),x92621),x92621)),a110)),a92))
% 164.74/165.08 [9263]P107(f334(f334(f249(a1),x92631),a92))+~P107(f334(f334(f249(a1),f334(f334(f23(a1),f334(f334(f89(a1),x92631),x92631)),a110)),a92))
% 164.74/165.08 [9264]P107(f334(f334(f249(a1),x92641),a110))+~P107(f334(f334(f249(a1),f334(f334(f23(a1),f334(f334(f89(a1),x92641),x92641)),a110)),a110))
% 164.74/165.08 [9824]~P107(f334(f70(f925(a919,a919)),x98241))+P107(f334(f334(f336(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),f334(f334(f266(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),f198(f926(f925(a919,a919),a913))),x98241)),a78))
% 164.74/165.08 [9596]~P146(x95961)+E(f334(f334(f258(x95961),f87(x95961)),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f87(x95961))
% 164.74/165.08 [9597]~P146(x95971)+E(f334(f334(f258(x95971),f2(x95971)),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f2(x95971))
% 164.74/165.08 [10051]~P107(f334(f334(f249(a919),f87(a919)),x100511))+P107(f334(f334(f249(a919),f2(a919)),f334(f334(f45(a919),x100511),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))))
% 164.74/165.08 [10061]~P107(f334(f334(f249(a919),f2(a919)),x100611))+P107(f334(f334(f249(a919),f2(a919)),f334(f334(f45(a919),f334(f334(f89(a919),x100611),f87(a919))),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))))
% 164.74/165.08 [10101]~E(f54(a919,x101011,f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f87(a919))+P107(f334(f334(f249(a919),f2(a919)),f54(a919,x101011,f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))))
% 164.74/165.08 [10123]E(f54(a919,x101231,f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f87(a919))+~P107(f334(f334(f249(a919),f2(a919)),f54(a919,x101231,f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))))
% 164.74/165.08 [4787]~P5(x47871,x47872)+P45(x47871,x47872)
% 164.74/165.08 [4788]~P38(x47881,x47882)+P57(x47881,x47882)
% 164.74/165.08 [4789]~P46(x47891,x47892)+P57(x47891,x47892)
% 164.74/165.08 [4790]~P5(x47901,x47902)+P52(x47901,x47902)
% 164.74/165.08 [4791]~P5(x47911,x47912)+P53(x47911,x47912)
% 164.74/165.08 [4744]E(x47441,x47442)+~E(f36(x47441),f36(x47442))
% 164.74/165.08 [4745]E(x47451,x47452)+~E(f37(x47451),f37(x47452))
% 164.74/165.08 [4749]~E(x47491,x47492)+E(f279(x47491,x47492),f87(a112))
% 164.74/165.08 [4752]E(f230(x47521,x47522),x47521)+~E(x47522,f2(a919))
% 164.74/165.08 [4759]~E(x47592,f126(x47591))+E(f162(x47591,x47592),f126(x47591))
% 164.74/165.08 [4778]~E(f162(x47782,x47781),f126(x47782))+E(x47781,f126(x47782))
% 164.74/165.08 [4795]~P1(x47952)+P1(f926(x47951,x47952))
% 164.74/165.08 [4796]~P108(x47962)+P108(f926(x47961,x47962))
% 164.74/165.08 [4797]~P109(x47972)+P109(f926(x47971,x47972))
% 164.74/165.08 [4798]~P111(x47982)+P111(f926(x47981,x47982))
% 164.74/165.08 [4799]~P62(x47992)+P62(f926(x47991,x47992))
% 164.74/165.08 [4800]~P83(x48002)+P83(f926(x48001,x48002))
% 164.74/165.08 [4801]~P83(x48012)+P102(f926(x48011,x48012))
% 164.74/165.08 [4802]~P100(x48022)+P84(f926(x48021,x48022))
% 164.74/165.08 [4803]~P112(x48032)+P112(f926(x48031,x48032))
% 164.74/165.08 [4804]~P100(x48042)+P85(f926(x48041,x48042))
% 164.74/165.08 [4805]~P3(x48052)+P3(f926(x48051,x48052))
% 164.74/165.08 [4806]~P83(x48062)+P103(f926(x48061,x48062))
% 164.74/165.08 [4807]~P101(x48072)+P101(f926(x48071,x48072))
% 164.74/165.08 [4808]~P86(x48082)+P86(f926(x48081,x48082))
% 164.74/165.08 [4809]~P87(x48092)+P87(f926(x48091,x48092))
% 164.74/165.08 [4810]~P100(x48102)+P100(f926(x48101,x48102))
% 164.74/165.08 [4823]E(x48231,x48232)+~E(f334(a125,x48231),f334(a125,x48232))
% 164.74/165.08 [4824]E(x48241,x48242)+~E(f334(a120,x48241),f334(a120,x48242))
% 164.74/165.08 [4825]E(x48251,x48252)+~E(f334(a3,x48251),f334(a3,x48252))
% 164.74/165.08 [4827]E(x48271,x48272)+~E(f334(a20,x48271),f334(a20,x48272))
% 164.74/165.08 [4922]~P60(x49221)+E(f54(x49221,x49222,x49222),f2(x49221))
% 164.74/165.08 [4956]~P38(x49561,x49562)+P38(f920(x49561),f156(x49561,x49562))
% 164.74/165.08 [4957]~P38(x49571,x49572)+P38(f920(x49571),f155(x49571,x49572))
% 164.74/165.08 [4958]~P39(x49581,x49582)+P39(f920(x49581),f157(x49581,x49582))
% 164.74/165.08 [4959]~P39(x49591,x49592)+P39(f920(x49591),f168(x49591,x49592))
% 164.74/165.08 [5054]~P38(x50541,x50542)+P38(f926(x50541,a913),f325(x50541,x50542))
% 164.74/165.08 [5055]~P38(x50551,x50552)+P38(f926(x50551,a913),f326(x50551,x50552))
% 164.74/165.08 [5173]~P4(x51731)+P40(f310(a1,x51731,x51732))
% 164.74/165.08 [5274]~P38(x52741,x52742)+P59(x52741,f76(x52741,x52741,x52742))
% 164.74/165.08 [5769]~P79(x57691)+P23(x57691,x57691,f88(x57691),x57692)
% 164.74/165.08 [4773]~E(x47732,f126(x47731))+E(f334(f177(x47731),x47732),f126(x47731))
% 164.74/165.08 [4774]~E(x47742,f126(x47741))+E(f334(f178(x47741),x47742),f126(x47741))
% 164.74/165.08 [4829]E(x48291,f334(a117,x48292))+~E(f334(f113(a1),x48291),x48292)
% 164.74/165.08 [4832]E(x48321,f126(x48322))+~E(f334(f177(x48322),x48321),f126(x48322))
% 164.74/165.08 [4833]E(x48331,f126(x48332))+~E(f334(f178(x48332),x48331),f126(x48332))
% 164.74/165.08 [4851]~P97(x48511)+E(f334(f116(x48511),x48512),f334(f115(x48511),x48512))
% 164.74/165.08 [4859]~P64(x48591)+P107(f334(f70(x48591),x48592))
% 164.74/165.08 [4867]~E(f728(x48672,x48671),f126(x48671))+E(f189(x48671,x48672),f126(f920(x48671)))
% 164.74/165.08 [4876]~E(x48762,f126(x48761))+E(f334(f182(x48761),x48762),f198(f926(x48761,a913)))
% 164.74/165.08 [4877]~E(x48772,f126(x48771))+E(f198(f926(x48771,a913)),f334(f182(x48771),x48772))
% 164.74/165.08 [4879]E(x48791,x48792)+~E(f334(f113(a1),x48791),f334(f113(a1),x48792))
% 164.74/165.08 [4882]E(f228(x48821,x48822),f2(a919))+P107(f334(f70(x48821),x48822))
% 164.74/165.08 [4900]~P122(x49001)+E(f91(x49001,f91(x49001,x49002)),f91(x49001,x49002))
% 164.74/165.08 [4912]~P81(x49121)+E(f334(f334(f258(x49121),x49122),f87(a919)),x49122)
% 164.74/165.08 [4913]~P119(x49131)+E(f334(f334(f258(x49131),x49132),f87(a919)),x49132)
% 164.74/165.08 [4917]E(x49171,x49172)+E(f279(x49171,x49172),f334(f334(f89(a112),x49172),f87(a112)))
% 164.74/165.08 [4920]E(f334(f44(x49201),x49202),f2(a919))+P107(f334(f70(x49201),x49202))
% 164.74/165.08 [4923]~E(f162(x49231,x49232),x49232)+P107(f334(f147(x49231),x49232))
% 164.74/165.08 [4926]~P71(x49261)+E(f334(f334(f23(x49261),x49262),f2(x49261)),x49262)
% 164.74/165.08 [4927]~P85(x49271)+E(f334(f334(f123(x49271),x49272),f198(x49271)),x49272)
% 164.74/165.08 [4928]~P84(x49281)+E(f334(f334(f114(x49281),x49282),f256(x49281)),x49282)
% 164.74/165.08 [4929]~P76(x49291)+E(f334(f334(f90(x49291),x49292),f87(x49291)),x49292)
% 164.74/165.08 [4930]~P81(x49301)+E(f334(f334(f90(x49301),x49302),f87(x49301)),x49302)
% 164.74/165.08 [4931]~P119(x49311)+E(f334(f334(f90(x49311),x49312),f87(x49311)),x49312)
% 164.74/165.08 [4932]~P72(x49321)+E(f334(f334(f89(x49321),x49322),f2(x49321)),x49322)
% 164.74/165.08 [4933]~P119(x49331)+E(f334(f334(f89(x49331),x49332),f2(x49331)),x49332)
% 164.74/165.08 [4934]~P82(x49341)+E(f334(f334(f89(x49341),x49342),f2(x49341)),x49342)
% 164.74/165.08 [4935]~P60(x49351)+E(f334(f334(f45(x49351),x49352),f87(x49351)),x49352)
% 164.74/165.08 [4936]~P120(x49361)+E(f334(f334(f297(x49361),x49362),f87(x49361)),x49362)
% 164.74/165.08 [4937]~P119(x49371)+E(f334(f334(f258(x49371),x49372),f2(a919)),f87(x49371))
% 164.74/165.08 [4938]~P118(x49381)+E(f334(f334(f258(x49381),x49382),f2(a919)),f87(x49381))
% 164.74/165.08 [4939]~E(x49392,f198(f926(x49391,a913)))+E(f334(f44(x49391),x49392),f2(a919))
% 164.74/165.08 [4950]~P60(x49501)+E(f54(x49501,x49502,f2(x49501)),x49502)
% 164.74/165.08 [4960]~P84(x49601)+E(f334(f334(f123(x49601),x49602),f256(x49601)),f256(x49601))
% 164.74/165.08 [4961]~P85(x49611)+E(f334(f334(f114(x49611),x49612),f198(x49611)),f198(x49611))
% 164.74/165.08 [4962]~P119(x49621)+E(f334(f334(f90(x49621),x49622),f2(x49621)),f2(x49621))
% 164.74/165.08 [4963]~P129(x49631)+E(f334(f334(f90(x49631),x49632),f2(x49631)),f2(x49631))
% 164.74/165.08 [4964]~P60(x49641)+E(f334(f334(f45(x49641),x49642),f2(x49641)),f2(x49641))
% 164.74/165.08 [4965]~P121(x49651)+E(f334(f334(f297(x49651),x49652),f2(x49651)),f2(x49651))
% 164.74/165.08 [4968]~P60(x49681)+E(f54(x49681,x49682,f87(x49681)),f2(x49681))
% 164.74/165.08 [4969]~P60(x49691)+E(f54(x49691,f2(x49691),x49692),f2(x49691))
% 164.74/165.08 [4998]E(x49981,f2(a919))+E(f64(x49982,x49981,f126(x49982)),f126(f920(x49982)))
% 164.74/165.08 [5021]P38(x50211,x50212)+~E(f339(x50212,x50211),f198(f926(x50211,a913)))
% 164.74/165.08 [5022]E(x50221,f126(x50222))+~E(f334(f182(x50222),x50221),f198(f926(x50222,a913)))
% 164.74/165.08 [5023]E(x50231,f126(x50232))+~E(f198(f926(x50232,a913)),f334(f182(x50232),x50231))
% 164.74/165.08 [5026]~E(x50261,x50262)+P107(f334(f334(a331,x50261),x50262))
% 164.74/165.08 [5036]P107(x50361)+P107(f334(f334(a337,x50361),x50362))
% 164.74/165.08 [5037]E(x50371,f126(x50372))+E(f334(f334(f174(x50372),x50371),f2(a919)),f334(f151(x50372),x50371))
% 164.74/165.08 [5040]E(f162(x50401,x50402),x50402)+~P107(f334(f147(x50401),x50402))
% 164.74/165.08 [5045]~P107(x50452)+P107(f334(f334(a332,x50451),x50452))
% 164.74/165.08 [5046]~P107(x50461)+P107(f334(f334(a332,x50461),x50462))
% 164.74/165.08 [5047]~P107(x50472)+P107(f334(f334(a337,x50471),x50472))
% 164.74/165.08 [5057]~E(f729(x50572,x50571),f733(x50572,x50571))+P107(f334(f147(x50571),x50572))
% 164.74/165.08 [5064]E(f334(f254(x50641),x50642),f198(f926(x50641,a913)))+P107(f334(x50642,f627(x50642)))
% 164.74/165.08 [5065]E(f198(f926(x50651,a913)),f334(f254(x50651),x50652))+P107(f334(x50652,f628(x50652)))
% 164.74/165.08 [5130]~P122(x51301)+E(f334(f334(f90(x51301),x51302),f91(x51301,x51302)),f334(f84(x51301),x51302))
% 164.74/165.08 [5141]~E(x51411,f2(a1))+E(f55(x51411,x51412),f334(f334(f266(a1,a1),f2(a1)),f2(a1)))
% 164.74/165.08 [5171]~P57(x51711,x51712)+P57(x51711,f334(f294(x51711,x51711),x51712))
% 164.74/165.08 [5172]~P39(x51721,x51722)+P39(x51721,f334(f294(x51721,x51721),x51722))
% 164.74/165.08 [5194]E(x51941,x51942)+~P107(f334(f334(a331,x51941),x51942))
% 164.74/165.08 [5198]~P107(f334(a27,x51982))+P107(f334(a27,f33(x51981,x51982)))
% 164.74/165.08 [5207]P107(x52071)+~P107(f334(f334(a333,x52072),x52071))
% 164.74/165.08 [5208]P107(x52081)+~P107(f334(f334(a333,x52081),x52082))
% 164.74/165.08 [5213]~P112(x52131)+P107(f334(f334(f248(x52131),x52132),f256(x52131)))
% 164.74/165.08 [5217]E(x52171,x52172)+~E(f334(x52171,f434(x52172,x52171)),f334(x52172,f434(x52172,x52171)))
% 164.74/165.08 [5248]E(x52481,f2(a919))+E(f230(x52481,f54(a919,x52482,x52481)),f230(x52482,x52481))
% 164.74/165.08 [5253]~P110(x52531)+P12(x52531,f334(f334(f161(x52531),x52532),f126(x52531)))
% 164.74/165.08 [5255]E(x52551,f2(a1))+P107(f334(f58(x52552,x52551),f55(x52552,x52551)))
% 164.74/165.08 [5272]~E(x52721,x52722)+P107(f334(f334(f249(a919),x52721),f334(a125,x52722)))
% 164.74/165.08 [5282]~E(x52821,f2(a919))+P107(f334(f334(f249(a919),x52821),f334(a125,x52822)))
% 164.74/165.08 [5292]P107(f334(x52921,x52922))+P107(f334(f334(f248(a1),f2(a1)),f490(x52921)))
% 164.74/165.08 [5328]P107(f334(a27,x53281))+~P107(f334(a27,f33(x53282,x53281)))
% 164.74/165.08 [5330]P107(f334(a27,x53301))+~P107(f334(a27,f34(x53302,x53301)))
% 164.74/165.08 [5332]P107(f334(a27,x53321))+~P107(f334(a27,f34(x53321,x53322)))
% 164.74/165.08 [5363]P57(x53631,x53632)+~P57(x53631,f334(f294(x53631,x53631),x53632))
% 164.74/165.08 [5364]P39(x53641,x53642)+~P39(x53641,f334(f294(x53641,x53641),x53642))
% 164.74/165.08 [5368]~E(f54(a919,x53682,x53681),f2(a919))+E(f334(f334(f90(a919),x53681),f495(x53681,x53682)),x53682)
% 164.74/165.08 [5369]~E(f54(a1,x53692,x53691),f2(a1))+E(f334(f334(f90(a1),x53691),f496(x53691,x53692)),x53692)
% 164.74/165.08 [5396]~P107(f334(x53961,x53962))+P107(f334(f334(f248(a1),f2(a1)),f489(x53961)))
% 164.74/165.08 [5407]E(f334(f334(f23(a919),f334(a117,x54071)),f334(a117,x54072)),f334(a117,x54071))+~P107(f334(a203,x54072))
% 164.74/165.08 [5436]E(f280(x54361,x54362),f87(a112))+~P107(f334(f334(f248(a112),x54361),f87(a112)))
% 164.74/165.08 [5526]E(f334(f334(f174(x55261),x55262),f729(x55262,x55261)),f334(f334(f174(x55261),x55262),f733(x55262,x55261)))+P107(f334(f147(x55261),x55262))
% 164.74/165.08 [5569]~P107(f334(x55691,f99(x55692,x55691)))+P107(f334(x55691,f868(x55692,x55691)))
% 164.74/165.08 [5630]P59(x56301,x56302)+~P107(f334(f322(x56301,x56302),f507(x56302,x56301)))
% 164.74/165.08 [5776]~E(f334(a125,f54(a919,x57761,x57762)),x57762)+E(f54(a919,f334(a125,x57761),x57762),f2(a919))
% 164.74/165.08 [5831]P38(x58311,x58312)+P107(f334(f334(f336(x58311),f361(x58312,x58311)),f362(x58312,x58311)))
% 164.74/165.08 [5838]~P142(x58381)+P107(f334(f334(f336(x58381),f334(f113(x58381),x58382)),f122(x58381)))
% 164.74/165.08 [5839]~P146(x58391)+P107(f334(f334(f336(x58391),f334(f113(x58391),x58392)),f196(x58391)))
% 164.74/165.08 [5840]~P142(x58401)+P107(f334(f334(f336(x58401),f334(f115(x58401),x58402)),f122(x58401)))
% 164.74/165.08 [5841]~P97(x58411)+P107(f334(f334(f336(x58411),f334(f116(x58411),x58412)),f122(x58411)))
% 164.74/165.08 [5974]~P39(x59741,x59742)+E(f334(f334(f296(x59741,x59741,x59741),x59742),f314(x59741,x59742)),x59742)
% 164.74/165.08 [5988]E(f334(a125,f54(a919,x59881,x59882)),x59882)+E(f54(a919,f334(a125,x59881),x59882),f334(a125,f54(a919,x59881,x59882)))
% 164.74/165.08 [6407]P38(x64071,x64072)+~P107(f334(f334(f336(x64071),f603(x64072,x64071)),f323(x64071,x64072)))
% 164.74/165.08 [6442]~P125(x64421)+~P107(f334(f334(f249(x64421),f334(f113(x64421),x64422)),f2(x64421)))
% 164.74/165.08 [6443]~P91(x64431)+~P107(f334(f334(f249(x64431),f334(f84(x64431),x64432)),f2(x64431)))
% 164.74/165.08 [6530]P107(f334(f334(f249(a1),x65301),f54(a1,x65302,x65301)))+~P107(f334(f334(f249(a1),x65301),f2(a1)))
% 164.74/165.08 [6631]E(f334(f334(f316(a919),f334(a125,x66311)),f310(a919,x66312,x66311)),f310(a919,x66312,f334(a125,x66311)))+~P107(f334(f334(f248(a919),x66312),f334(a125,x66311)))
% 164.74/165.08 [6720]~P110(x67201)+P12(x67201,f160(x67201,x67201,f5(x67201),x67202))
% 164.74/165.08 [6849]E(f334(f177(x68491),x68492),x68492)+~P107(f334(f334(f248(a919),f334(f199(f920(x68491)),x68492)),f87(a919)))
% 164.74/165.08 [6868]~P91(x68681)+P107(f334(f334(f248(x68681),f334(f88(x68681),f334(f84(x68681),x68682))),f2(x68681)))
% 164.74/165.08 [6900]~P38(x69001,x69002)+P38(x69001,f334(f334(f296(x69001,x69001,x69001),x69002),f314(x69001,x69002)))
% 164.74/165.08 [7118]~P107(f334(f334(f249(a1),x71182),f2(a1)))+P107(f334(f334(f248(a1),f54(a1,x71181,x71182)),f2(a1)))
% 164.74/165.08 [7515]~P146(x75151)+E(f200(x75151,f334(f334(f7(x75151,x75151,x75151),f89(x75151)),f87(x75151)),x75152,f2(x75151)),f334(f113(x75151),x75152))
% 164.74/165.08 [7543]~P126(x75431)+~P107(f334(f334(f249(x75431),f334(f334(f90(x75431),x75432),x75432)),f2(x75431)))
% 164.74/165.08 [10211]~P122(x102111)+~P107(f334(f334(f249(x102111),f334(f334(f258(x102111),x102112),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f2(x102111)))
% 164.74/165.08 [4830]~E(x48302,f126(x48301))+E(f334(f199(f920(x48301)),x48302),f2(a919))
% 164.74/165.08 [4868]~E(x48681,f2(a919))+E(f334(f334(f89(a919),x48681),x48682),x48682)
% 164.74/165.08 [4869]~E(x48692,f2(a919))+E(f334(f334(f90(a919),x48691),x48692),f2(a919))
% 164.74/165.08 [4871]~E(x48711,f2(a919))+E(f334(f334(f90(a919),x48711),x48712),f2(a919))
% 164.74/165.08 [4872]~E(x48722,f2(a919))+E(f334(f334(f258(a919),x48721),x48722),f87(a919))
% 164.74/165.08 [4873]~E(x48732,f2(a1))+E(f334(f334(f45(a1),x48731),x48732),f2(a1))
% 164.74/165.08 [4883]E(x48831,f126(x48832))+~E(f334(f199(f920(x48832)),x48831),f2(a919))
% 164.74/165.08 [4884]~P83(x48841)+E(f334(f334(f123(x48841),x48842),x48842),x48842)
% 164.74/165.08 [4886]~P102(x48861)+E(f334(f334(f123(x48861),x48862),x48862),x48862)
% 164.74/165.08 [4887]~P83(x48871)+E(f334(f334(f114(x48871),x48872),x48872),x48872)
% 164.74/165.08 [4889]~P103(x48891)+E(f334(f334(f114(x48891),x48892),x48892),x48892)
% 164.74/165.08 [4891]~P99(x48911)+E(f334(f334(f90(x48911),x48912),x48912),x48912)
% 164.74/165.08 [4893]~P110(x48931)+E(f334(f334(f246(x48931),x48932),x48932),x48932)
% 164.74/165.08 [4895]~P110(x48951)+E(f334(f334(f247(x48951),x48952),x48952),x48952)
% 164.74/165.08 [4911]~P71(x49111)+E(f334(f334(f23(x49111),x49112),x49112),f2(x49111))
% 164.74/165.08 [4924]~P71(x49241)+E(f334(f88(x49241),f334(f88(x49241),x49242)),x49242)
% 164.74/165.08 [4925]~P86(x49251)+E(f334(f88(x49251),f334(f88(x49251),x49252)),x49252)
% 164.74/165.08 [4942]~E(x49422,f2(a919))+E(f334(f334(f258(a919),x49421),x49422),f334(a125,f2(a919)))
% 164.74/165.08 [4977]~P85(x49771)+E(f334(f334(f123(x49771),f198(x49771)),x49772),x49772)
% 164.74/165.08 [4978]~P84(x49781)+E(f334(f334(f114(x49781),f256(x49781)),x49782),x49782)
% 164.74/165.08 [4979]~P76(x49791)+E(f334(f334(f90(x49791),f87(x49791)),x49792),x49792)
% 164.74/165.08 [4980]~P81(x49801)+E(f334(f334(f90(x49801),f87(x49801)),x49802),x49802)
% 164.74/165.08 [4981]~P119(x49811)+E(f334(f334(f90(x49811),f87(x49811)),x49812),x49812)
% 164.74/165.08 [4982]~P72(x49821)+E(f334(f334(f89(x49821),f2(x49821)),x49822),x49822)
% 164.74/165.08 [4983]~P119(x49831)+E(f334(f334(f89(x49831),f2(x49831)),x49832),x49832)
% 164.74/165.08 [4984]~P82(x49841)+E(f334(f334(f89(x49841),f2(x49841)),x49842),x49842)
% 164.74/165.08 [5002]~P84(x50021)+E(f334(f334(f123(x50021),f256(x50021)),x50022),f256(x50021))
% 164.74/165.08 [5003]~P85(x50031)+E(f334(f334(f114(x50031),f198(x50031)),x50032),f198(x50031))
% 164.74/165.08 [5004]~P119(x50041)+E(f334(f334(f90(x50041),f2(x50041)),x50042),f2(x50041))
% 164.74/165.08 [5005]~P129(x50051)+E(f334(f334(f90(x50051),f2(x50051)),x50052),f2(x50051))
% 164.74/165.08 [5006]~P81(x50061)+E(f334(f334(f258(x50061),f87(x50061)),x50062),f87(x50061))
% 164.74/165.08 [5007]~P60(x50071)+E(f334(f334(f45(x50071),f2(x50071)),x50072),f2(x50071))
% 164.74/165.08 [5008]~P120(x50081)+E(f334(f334(f297(x50081),f2(x50081)),x50082),f2(x50081))
% 164.74/165.08 [5016]E(x50161,f126(x50162))+E(f154(x50162,f334(f178(x50162),x50161)),f334(f151(x50162),x50161))
% 164.74/165.08 [5017]E(x50171,f126(x50172))+E(f334(f151(x50172),f334(f178(x50172),x50171)),f154(x50172,x50171))
% 164.74/165.08 [5018]E(x50181,f2(a919))+~E(f334(f334(f89(a919),x50182),x50181),x50182)
% 164.74/165.08 [5024]~P142(x50241)+E(f334(f115(x50241),f334(f113(a1),x50242)),f334(f113(x50241),x50242))
% 164.74/165.08 [5025]~P97(x50251)+E(f334(f115(x50251),f334(f116(a1),x50252)),f334(f116(x50251),x50252))
% 164.74/165.08 [5032]E(x50321,f87(a919))+~E(f334(f334(f90(a919),x50322),x50321),f87(a919))
% 164.74/165.08 [5033]E(x50331,f87(a919))+~E(f334(f334(f90(a919),x50331),x50332),f87(a919))
% 164.74/165.08 [5034]E(x50341,f2(a919))+~E(f334(f334(f89(a919),x50342),x50341),f2(a919))
% 164.74/165.08 [5035]E(x50351,f2(a919))+~E(f334(f334(f89(a919),x50351),x50352),f2(a919))
% 164.74/165.08 [5050]~P91(x50501)+E(f334(f84(x50501),f334(f88(x50501),x50502)),f334(f84(x50501),x50502))
% 164.74/165.08 [5051]~P122(x50511)+E(f334(f84(x50511),f334(f113(x50511),x50512)),f334(f113(x50511),x50512))
% 164.74/165.08 [5052]~P91(x50521)+E(f334(f84(x50521),f334(f84(x50521),x50522)),f334(f84(x50521),x50522))
% 164.74/165.08 [5053]~P72(x50531)+E(f334(f175(x50531),f334(f178(x50531),x50532)),f334(f175(x50531),x50532))
% 164.74/165.08 [5058]~E(x50581,f334(a125,f2(a919)))+E(f334(f334(f258(a919),x50581),x50582),f334(a125,f2(a919)))
% 164.74/165.08 [5067]~P71(x50671)+E(f334(f334(f23(x50671),f2(x50671)),x50672),f334(f88(x50671),x50672))
% 164.74/165.08 [5068]~E(x50682,f2(a919))+E(f149(a919,f334(f309(a919,x50681),x50682)),f126(a919))
% 164.74/165.08 [5077]~P97(x50771)+E(f334(f334(f89(x50771),x50772),f334(f116(x50771),a92)),x50772)
% 164.74/165.08 [5078]E(x50781,f2(a1))+E(f56(f334(f84(a1),x50782),f334(f84(a1),x50781)),f62(x50782,x50781))
% 164.74/165.08 [5094]~E(x50941,x50942)+P107(f334(f334(f248(a919),x50941),x50942))
% 164.74/165.08 [5101]~E(x51011,f2(a112))+E(f334(f334(f89(a919),f334(a20,x51011)),x51012),x51012)
% 164.74/165.08 [5102]~E(f334(f116(a1),x51022),f334(f113(a1),x51021))+E(x51021,f334(a117,f334(f116(a1),x51022)))
% 164.74/165.08 [5111]~P4(x51111)+P4(f334(f334(f258(a1),x51111),x51112))
% 164.74/165.08 [5112]~P86(x51121)+E(f334(f334(f123(x51121),x51122),f334(f88(x51121),x51122)),f256(x51121))
% 164.74/165.08 [5113]~P86(x51131)+E(f334(f334(f114(x51131),x51132),f334(f88(x51131),x51132)),f198(x51131))
% 164.74/165.08 [5114]~P71(x51141)+E(f334(f334(f89(x51141),x51142),f334(f88(x51141),x51142)),f2(x51141))
% 164.74/165.08 [5138]E(x51381,f2(a919))+~E(f334(f88(a1),f334(f113(a1),x51382)),f334(f113(a1),x51381))
% 164.74/165.08 [5139]E(x51391,f2(a919))+~E(f334(f88(a1),f334(f113(a1),x51391)),f334(f113(a1),x51392))
% 164.74/165.08 [5149]E(f205(x51491,x51492),f2(a1))+P107(f334(f334(f248(a1),x51492),x51491))
% 164.74/165.08 [5150]E(f188(x51501,x51502),f126(a1))+P107(f334(f334(f248(a1),x51501),x51502))
% 164.74/165.08 [5163]E(x51631,f334(a125,f2(a919)))+~E(f334(f334(f90(a919),x51632),x51631),f334(a125,f2(a919)))
% 164.74/165.08 [5164]E(x51641,f334(a125,f2(a919)))+~E(f334(f334(f90(a919),x51641),x51642),f334(a125,f2(a919)))
% 164.74/165.08 [5165]~P108(x51651)+P107(f334(f334(f248(x51651),x51652),x51652))
% 164.74/165.08 [5168]~P97(x51681)+E(f334(f334(f90(x51681),x51682),f334(f116(x51681),a110)),f334(f88(x51681),x51682))
% 164.74/165.08 [5186]~P142(x51861)+E(f334(f88(x51861),f334(f115(x51861),x51862)),f334(f115(x51861),f334(f88(a1),x51862)))
% 164.74/165.08 [5187]~P97(x51871)+E(f334(f88(x51871),f334(f116(x51871),x51872)),f334(f116(x51871),f334(f88(a1),x51872)))
% 164.74/165.08 [5218]~E(x52181,f334(a125,x52182))+P107(f334(f334(f249(a919),f2(a919)),x52181))
% 164.74/165.08 [5236]~P110(x52361)+E(f334(f88(f926(x52361,a913)),f334(f290(x52361),x52362)),f334(f291(x52361),x52362))
% 164.74/165.08 [5237]~P110(x52371)+E(f334(f88(f926(x52371,a913)),f334(f311(x52371),x52372)),f334(f308(x52371),x52372))
% 164.74/165.08 [5238]~P110(x52381)+E(f334(f88(f926(x52381,a913)),f334(f291(x52381),x52382)),f334(f290(x52381),x52382))
% 164.74/165.08 [5239]~P110(x52391)+E(f334(f88(f926(x52391,a913)),f334(f308(x52391),x52392)),f334(f311(x52391),x52392))
% 164.74/165.08 [5247]~E(f334(f113(a1),x52472),x52471)+P107(f334(f334(f248(a1),f2(a1)),x52471))
% 164.74/165.08 [5254]~E(x52542,f2(a1))+E(f62(x52541,x52542),f334(f334(f266(a1,a1),f2(a1)),f334(f84(a1),x52541)))
% 164.74/165.08 [5256]~P1(x52561)+P107(f334(f334(f248(x52561),f198(x52561)),x52562))
% 164.74/165.08 [5287]E(x52871,x52872)+~E(f334(f334(f89(a1),x52871),x52871),f334(f334(f89(a1),x52872),x52872))
% 164.74/165.08 [5291]~P107(f334(x52911,x52912))+P107(f334(x52911,f334(a117,f489(x52911))))
% 164.74/165.08 [5317]~P122(x53171)+E(f334(f334(f90(x53171),f91(x53171,x53172)),f334(f84(x53171),x53172)),x53172)
% 164.74/165.08 [5319]E(x53191,x53192)+~P107(f334(f334(f204(a26),x53191),x53192))
% 164.74/165.08 [5326]~E(x53262,f2(a919))+E(f94(f925(a919,a919),f57(x53261,x53262)),f334(f334(f266(a919,a919),f2(a919)),x53261))
% 164.74/165.08 [5337]~E(x53371,x53372)+~P107(f334(f334(f249(a919),x53371),x53372))
% 164.74/165.08 [5338]~E(x53381,x53382)+~P107(f334(f334(f249(a1),x53381),x53382))
% 164.74/165.08 [5341]~P146(x53411)+E(f334(f334(f89(x53411),f87(x53411)),f334(f113(x53411),x53412)),f334(f113(x53411),f334(a125,x53412)))
% 164.74/165.08 [5345]~E(x53451,f2(a919))+~P107(f334(f334(f249(a919),x53452),x53451))
% 164.74/165.08 [5359]E(f162(x53591,x53592),x53592)+~E(f334(f199(f920(x53591)),f162(x53591,x53592)),f334(f199(f920(x53591)),x53592))
% 164.74/165.08 [5360]E(f334(f44(x53601),f334(f182(x53601),x53602)),f334(f199(f920(x53601)),x53602))+~P107(f334(f147(x53601),x53602))
% 164.74/165.08 [5373]~P107(f334(x53731,f477(x53731)))+P107(f334(x53731,f334(f113(a1),x53732)))
% 164.74/165.08 [5384]E(f280(x53841,x53842),f87(a112))+~P107(f334(f334(f249(a112),x53842),x53841))
% 164.74/165.08 [5385]E(f188(x53851,x53852),f126(a1))+~P107(f334(f334(f249(a1),x53852),x53851))
% 164.74/165.08 [5386]E(f139(x53861,x53862),f128(a1))+~P107(f334(f334(f249(a1),x53861),x53862))
% 164.74/165.08 [5390]~P111(x53901)+E(f310(x53901,x53902,x53902),f334(f334(f316(x53901),x53902),f198(f926(x53901,a913))))
% 164.74/165.08 [5410]~E(f334(f334(f23(a919),x54101),x54102),f2(a919))+P107(f334(f334(f248(a919),x54101),x54102))
% 164.74/165.08 [5433]~E(x54332,f2(a919))+E(f64(x54331,x54332,f126(x54331)),f334(f334(f161(f920(x54331)),f126(x54331)),f126(f920(x54331))))
% 164.74/165.08 [5437]~P108(x54371)+~P107(f334(f334(f249(x54371),x54372),x54372))
% 164.74/165.08 [5439]~E(f54(a1,x54391,x54392),f2(a1))+E(f54(a1,x54391,f334(f88(a1),x54392)),f2(a1))
% 164.74/165.08 [5441]~E(f54(a1,x54411,x54412),f2(a1))+E(f54(a1,f334(f88(a1),x54411),x54412),f2(a1))
% 164.74/165.08 [5449]E(f334(f309(a919,x54491),f334(a125,x54492)),f198(f926(a919,a913)))+P107(f334(f334(f248(a919),x54491),x54492))
% 164.74/165.08 [5471]E(f149(a919,f334(f309(a919,x54711),x54712)),f126(a919))+P107(f334(f334(f249(a919),x54711),x54712))
% 164.74/165.08 [5476]~E(f334(f44(x54761),f334(f182(x54761),x54762)),f334(f199(f920(x54761)),x54762))+P107(f334(f147(x54761),x54762))
% 164.74/165.08 [5480]~P107(f334(f147(x54801),x54802))+P107(f334(f147(x54801),f334(f177(x54801),x54802)))
% 164.74/165.08 [5481]~P107(f334(f147(x54811),x54812))+P107(f334(f147(x54811),f334(f181(x54811),x54812)))
% 164.74/165.08 [5482]~P107(f334(f147(x54821),x54822))+P107(f334(f147(x54821),f334(f178(x54821),x54822)))
% 164.74/165.08 [5488]P107(f334(x54881,x54882))+~P107(f334(x54881,f334(a117,f490(x54881))))
% 164.74/165.08 [5489]P107(f334(f334(f248(a919),x54892),x54891))+P107(f334(f334(f248(a919),x54891),x54892))
% 164.74/165.08 [5490]P107(f334(f334(f248(a1),x54902),x54901))+P107(f334(f334(f248(a1),x54901),x54902))
% 164.74/165.08 [5492]~P91(x54921)+P107(f334(f334(f248(x54921),x54922),f334(f84(x54921),x54922)))
% 164.74/165.08 [5495]P107(f334(x54951,f484(x54951)))+~P107(f334(x54951,f334(f113(a1),x54952)))
% 164.74/165.08 [5519]E(f334(f334(f23(a919),x55191),x55192),f2(a919))+~P107(f334(f334(f248(a919),x55191),x55192))
% 164.74/165.08 [5520]E(f334(f334(f45(a919),x55201),x55202),f2(a919))+~P107(f334(f334(f249(a919),x55201),x55202))
% 164.74/165.08 [5538]E(f54(a919,x55381,x55382),x55381)+~P107(f334(f334(f249(a919),x55381),x55382))
% 164.74/165.08 [5546]E(f54(a1,x55461,f334(f88(a1),x55462)),f298(x55461,x55462))+P107(f334(f334(f248(a1),f2(a1)),x55462))
% 164.74/165.08 [5558]E(f334(f334(f23(a1),x55581),x55582),f205(x55581,x55582))+~P107(f334(f334(f248(a1),x55582),x55581))
% 164.74/165.08 [5576]P107(f334(f334(f248(a1),f2(a1)),f477(x55761)))+P107(f334(x55761,f334(f113(a1),x55762)))
% 164.74/165.08 [5589]~P125(x55891)+P107(f334(f334(f248(x55891),f2(x55891)),f334(f113(x55891),x55892)))
% 164.74/165.08 [5590]~P91(x55901)+P107(f334(f334(f248(x55901),f2(x55901)),f334(f84(x55901),x55902)))
% 164.74/165.08 [5616]E(f334(f334(f89(a919),x56161),f435(x56162,x56161)),x56162)+~P107(f334(f334(f248(a919),x56161),x56162))
% 164.74/165.08 [5628]~E(f334(f116(a1),x56281),f334(f113(a1),x56282))+P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),x56281)))
% 164.74/165.08 [5631]E(f310(a1,x56311,x56312),f198(f926(a1,a913)))+~P107(f334(f334(f249(a1),x56312),x56311))
% 164.74/165.08 [5634]~P122(x56341)+E(f334(f334(f90(x56341),f334(f84(x56341),x56342)),f334(f84(x56341),x56342)),f334(f334(f90(x56341),x56342),x56342))
% 164.74/165.08 [5639]E(f149(a919,f334(f309(a919,x56391),f334(a125,x56392))),f126(a919))+P107(f334(f334(f248(a919),x56391),x56392))
% 164.74/165.08 [5643]E(f334(f334(f45(a1),x56431),x56432),f299(x56431,x56432))+~P107(f334(f334(f248(a1),f2(a1)),x56432))
% 164.74/165.08 [5663]P107(f334(f147(x56631),x56632))+~P107(f334(f147(x56631),f334(f177(x56631),x56632)))
% 164.74/165.08 [5664]P107(f334(f147(x56641),x56642))+~P107(f334(f147(x56641),f334(f178(x56641),x56642)))
% 164.74/165.08 [5685]P107(f334(f70(a919),x56851))+P107(f334(f334(f336(a919),f360(x56851,x56852)),x56851))
% 164.74/165.08 [5686]P107(f334(f70(a919),x56861))+P107(f334(f334(f336(a919),f396(x56861,x56862)),x56861))
% 164.74/165.08 [5689]P107(f334(f334(f249(a919),x56892),f334(a125,x56891)))+P107(f334(f334(f249(a919),x56891),x56892))
% 164.74/165.08 [5690]E(f54(a1,x56901,x56902),f298(x56901,x56902))+~P107(f334(f334(f248(a1),f2(a1)),x56902))
% 164.74/165.08 [5693]E(f149(a919,f334(f309(a919,x56931),x56932)),f126(a919))+~P107(f334(f334(f248(a919),x56932),x56931))
% 164.74/165.08 [5694]~P79(x56941)+E(f334(f317(x56941,x56941,f88(x56941)),f334(f290(x56941),x56942)),f334(f311(x56941),f334(f88(x56941),x56942)))
% 164.74/165.08 [5695]~P79(x56951)+E(f334(f317(x56951,x56951,f88(x56951)),f334(f311(x56951),x56952)),f334(f290(x56951),f334(f88(x56951),x56952)))
% 164.74/165.08 [5696]~P79(x56961)+E(f334(f317(x56961,x56961,f88(x56961)),f334(f291(x56961),x56962)),f334(f308(x56961),f334(f88(x56961),x56962)))
% 164.74/165.08 [5697]~P79(x56971)+E(f334(f317(x56971,x56971,f88(x56971)),f334(f308(x56971),x56972)),f334(f291(x56971),f334(f88(x56971),x56972)))
% 164.74/165.08 [5708]E(x57081,f198(f926(x57082,a913)))+P107(f334(f334(f336(x57082),f704(x57081,x57082)),x57081))
% 164.74/165.08 [5709]E(x57091,f198(f926(x57092,a913)))+P107(f334(f334(f336(x57092),f715(x57091,x57092)),x57091))
% 164.74/165.08 [5720]~P107(f334(f334(f249(a919),x57201),x57202))+P107(f334(f334(f248(a919),x57201),x57202))
% 164.74/165.08 [5721]~P107(f334(f334(f249(a1),x57211),x57212))+P107(f334(f334(f248(a1),x57211),x57212))
% 164.74/165.08 [5737]E(f56(x57371,x57372),f334(f334(f266(a1,a1),f2(a1)),x57371))+~P107(f334(f334(f249(a1),x57371),x57372))
% 164.74/165.08 [5739]E(f229(f334(f88(a1),x57391),f334(f88(a1),x57392)),f229(x57391,x57392))+~P107(f334(f334(f249(a1),x57392),f2(a1)))
% 164.74/165.08 [5750]E(x57501,x57502)+~E(f334(a3,f334(a125,f334(a20,x57501))),f334(a3,f334(a125,f334(a20,x57502))))
% 164.74/165.08 [5755]E(f56(x57551,x57552),f334(f334(f266(a1,a1),f2(a1)),x57551))+~P107(f334(f334(f248(a1),x57552),f2(a1)))
% 164.74/165.08 [5782]E(f54(a919,f334(f116(a919),x57821),f334(f116(a919),x57822)),f2(a919))+~P107(f334(a203,f334(f116(a1),x57821)))
% 164.74/165.08 [5796]P107(f334(f334(f248(a1),f2(a1)),f484(x57961)))+~P107(f334(x57961,f334(f113(a1),x57962)))
% 164.74/165.08 [5829]P40(f310(a1,x58291,x58292))+~P107(f334(f334(f248(a1),f2(a1)),x58291))
% 164.74/165.08 [5834]~P107(f334(f70(x58341),x58342))+P107(f334(f70(f926(x58341,a913)),f334(f315(x58341),x58342)))
% 164.74/165.08 [5847]E(f334(f334(f89(a1),x58471),f334(f113(a1),f478(x58472,x58471))),x58472)+~P107(f334(f334(f248(a1),x58471),x58472))
% 164.74/165.08 [5855]P107(f334(f334(f248(a919),x58551),x58552))+P107(f334(f334(f248(a919),f334(a125,x58552)),x58551))
% 164.74/165.08 [5900]E(f334(f334(f45(a919),f334(f116(a919),x59001)),f334(f116(a919),x59002)),f2(a919))+~P107(f334(a203,f334(f116(a1),x59001)))
% 164.74/165.08 [5901]E(f334(f334(f90(a919),f334(f116(a919),x59011)),f334(f116(a919),x59012)),f2(a919))+~P107(f334(f334(f249(a1),x59011),a92))
% 164.74/165.08 [5903]P107(f334(f334(f248(a919),x59031),f334(a125,x59032)))+~P107(f334(f334(f248(a919),x59031),x59032))
% 164.74/165.08 [5905]P107(f334(f334(f249(a919),x59051),f334(a125,x59052)))+~P107(f334(f334(f248(a919),x59051),x59052))
% 164.74/165.08 [5907]P107(f334(f334(f249(a919),x59071),f334(a125,x59072)))+~P107(f334(f334(f249(a919),x59071),x59072))
% 164.74/165.08 [5910]~E(x59101,x59102)+P107(f334(f334(f249(a1),x59101),f334(f334(f89(a1),x59102),f87(a1))))
% 164.74/165.08 [5913]E(f54(a1,x59131,x59132),f2(a1))+E(f334(f334(f23(a1),x59132),f54(a1,x59131,x59132)),f54(a1,f334(f88(a1),x59131),x59132))
% 164.74/165.08 [5922]E(x59221,f126(x59222))+P107(f334(f334(f336(x59222),f154(x59222,x59221)),f334(f182(x59222),x59221)))
% 164.74/165.08 [5934]E(f94(f925(a919,a919),f57(x59341,x59342)),f334(f334(f266(a919,a919),f2(a919)),x59341))+~P107(f334(f334(f249(a919),x59341),x59342))
% 164.74/165.08 [5968]E(f334(f334(f23(a919),f334(f116(a919),x59681)),f334(f116(a919),x59682)),f334(f116(a919),x59681))+~P107(f334(f334(f249(a1),x59682),a92))
% 164.74/165.08 [5969]E(f334(f334(f89(a919),f334(f116(a919),x59691)),f334(f116(a919),x59692)),f334(f116(a919),x59692))+~P107(f334(f334(f249(a1),x59691),a92))
% 164.74/165.08 [5975]E(f334(a125,f334(f334(f89(a919),x59751),f442(x59752,x59751))),x59752)+~P107(f334(f334(f249(a919),x59751),x59752))
% 164.74/165.08 [5998]P107(f334(x59981,x59982))+~P107(f334(x59981,f334(a98,f602(x59982,x59981))))
% 164.74/165.08 [6006]~P107(f334(f334(f249(a919),x60061),f334(a125,x60062)))+P107(f334(f334(f248(a919),x60061),x60062))
% 164.74/165.08 [6051]E(f334(f334(f316(a919),x60511),f334(f309(a919,x60512),x60511)),f334(f309(a919,x60512),f334(a125,x60511)))+~P107(f334(f334(f248(a919),x60512),x60511))
% 164.74/165.08 [6055]E(x60551,f126(x60552))+E(f334(f334(f144(x60552),f127(x60552,x60551)),f334(f334(f161(x60552),f154(x60552,x60551)),f126(x60552))),x60551)
% 164.74/165.08 [6072]P107(f334(f70(x60721),x60722))+~P107(f334(f334(f249(a919),f2(a919)),f334(f44(x60721),x60722)))
% 164.74/165.08 [6074]~E(x60741,f198(f926(x60742,a913)))+~P107(f334(f334(f249(a919),f2(a919)),f334(f44(x60742),x60741)))
% 164.74/165.08 [6086]~P107(f334(f334(f249(a919),x60861),x60862))+P107(f334(f334(f248(a919),f334(a125,x60861)),x60862))
% 164.74/165.08 [6091]~P110(x60911)+E(f160(x60911,x60911,f5(x60911),f162(x60911,x60912)),f149(x60911,f334(f182(x60911),x60912)))
% 164.74/165.08 [6094]E(x60941,f126(x60942))+P107(f334(f334(f336(x60942),f334(f151(x60942),x60941)),f334(f182(x60942),x60941)))
% 164.74/165.08 [6100]~P125(x61001)+P107(f334(f334(f249(x61001),x61002),f334(f334(f89(x61001),x61002),f87(x61001))))
% 164.74/165.08 [6102]~P91(x61021)+P107(f334(f334(f248(x61021),f334(f88(x61021),x61022)),f334(f84(x61021),x61022)))
% 164.74/165.08 [6135]P107(f334(f70(a919),x61351))+~P107(f334(f334(f248(a919),f396(x61351,x61352)),x61352))
% 164.74/165.08 [6136]P107(f334(f70(a919),x61361))+~P107(f334(f334(f249(a919),f360(x61361,x61362)),x61362))
% 164.74/165.08 [6140]~P107(f334(f70(f925(x61401,x61401)),x61402))+P107(f334(f70(x61401),f334(f289(x61401),x61402)))
% 164.74/165.08 [6197]~P107(f334(f334(f249(a919),x61972),f334(a125,x61971)))+~P107(f334(f334(f249(a919),x61971),x61972))
% 164.74/165.08 [6198]~P111(x61981)+E(f334(f334(f114(f926(x61981,a913)),f334(f308(x61981),x61982)),f334(f291(x61981),x61982)),f334(f334(f316(x61981),x61982),f198(f926(x61981,a913))))
% 164.74/165.08 [6210]P107(f334(f70(x62101),x62102))+~P107(f334(f70(f926(x62101,a913)),f334(f315(x62101),x62102)))
% 164.74/165.08 [6233]P107(f334(f334(f248(a919),f334(a125,x62331)),f334(a125,x62332)))+~P107(f334(f334(f248(a919),x62331),x62332))
% 164.74/165.08 [6234]P107(f334(f334(f248(a919),f334(a20,x62341)),f334(a20,x62342)))+~P107(f334(f334(f248(a112),x62341),x62342))
% 164.74/165.08 [6235]P107(f334(f334(f248(a112),f334(a3,x62351)),f334(a3,x62352)))+~P107(f334(f334(f248(a919),x62351),x62352))
% 164.74/165.08 [6237]P107(f334(f334(f249(a919),f334(a125,x62371)),f334(a125,x62372)))+~P107(f334(f334(f249(a919),x62371),x62372))
% 164.74/165.08 [6238]P107(f334(f334(f249(a919),f334(a20,x62381)),f334(a20,x62382)))+~P107(f334(f334(f249(a112),x62381),x62382))
% 164.74/165.08 [6239]P107(f334(f334(f249(a112),f334(a3,x62391)),f334(a3,x62392)))+~P107(f334(f334(f249(a919),x62391),x62392))
% 164.74/165.08 [6242]E(x62421,x62422)+~E(f334(f317(a919,a1,f113(a1)),x62421),f334(f317(a919,a1,f113(a1)),x62422))
% 164.74/165.08 [6258]P107(f334(f334(f248(a919),x62581),x62582))+~P107(f334(f334(f248(a919),f334(a125,x62581)),x62582))
% 164.74/165.08 [6261]P107(f334(f334(f249(a919),x62611),x62612))+~P107(f334(f334(f248(a919),f334(a125,x62611)),x62612))
% 164.74/165.08 [6262]P107(f334(f334(f249(a919),x62621),x62622))+~P107(f334(f334(f249(a919),f334(a125,x62621)),x62622))
% 164.74/165.08 [6279]E(f54(a1,x62791,x62792),f2(a1))+E(f334(f334(f23(a1),f54(a1,x62791,x62792)),x62792),f54(a1,x62791,f334(f88(a1),x62792)))
% 164.74/165.08 [6349]E(f334(f44(f926(x63491,a913)),f334(f315(x63491),x63492)),f334(f334(f258(a919),f334(a125,f334(a125,f2(a919)))),f334(f44(x63491),x63492)))+~P107(f334(f70(x63491),x63492))
% 164.74/165.08 [6352]E(x63521,f126(x63522))+E(f334(f334(f174(x63522),x63521),f334(f334(f23(a919),f334(f199(f920(x63522)),x63521)),f87(a919))),f154(x63522,x63521))
% 164.74/165.08 [6374]E(x63741,f126(x63742))+E(f334(f334(f144(x63742),f334(f181(x63742),x63741)),f334(f334(f161(x63742),f334(f151(x63742),x63741)),f126(x63742))),f334(f177(x63742),x63741))
% 164.74/165.08 [6404]~P107(f334(f70(x64041),f46(f926(x64041,a913),x64042)))+P107(f334(f70(f926(x64041,a913)),x64042))
% 164.74/165.08 [6427]P107(f334(f334(f248(a919),f334(f116(a919),x64271)),f334(f116(a919),x64272)))+~P107(f334(f334(f248(a1),x64271),a92))
% 164.74/165.08 [6444]~P107(f334(f334(f249(a1),x64441),x64442))+P107(f334(f334(f248(a1),x64441),f334(f334(f23(a1),x64442),f87(a1))))
% 164.74/165.08 [6445]~P107(f334(f334(f248(a1),x64451),x64452))+P107(f334(f334(f249(a1),x64451),f334(f334(f89(a1),x64452),f87(a1))))
% 164.74/165.08 [6446]~P107(f334(f334(f249(a1),x64461),x64462))+P107(f334(f334(f249(a1),x64461),f334(f334(f89(a1),x64462),f87(a1))))
% 164.74/165.08 [6448]~P107(f334(f334(f248(a1),x64481),x64482))+P107(f334(f334(f248(a919),f334(f116(a919),x64481)),f334(f116(a919),x64482)))
% 164.74/165.08 [6450]~P107(f334(f334(f248(a919),x64501),x64502))+P107(f334(f334(f248(a1),f334(f113(a1),x64501)),f334(f113(a1),x64502)))
% 164.74/165.08 [6451]~P107(f334(f334(f248(a1),x64511),x64512))+P107(f334(f334(f248(a1),f334(f116(a1),x64511)),f334(f116(a1),x64512)))
% 164.74/165.08 [6453]~P107(f334(f334(f249(a919),x64531),x64532))+P107(f334(f334(f249(a1),f334(f113(a1),x64531)),f334(f113(a1),x64532)))
% 164.74/165.08 [6454]~P107(f334(f334(f249(a1),x64541),x64542))+P107(f334(f334(f249(a1),f334(f116(a1),x64541)),f334(f116(a1),x64542)))
% 164.74/165.08 [6473]~P107(f334(f334(f248(a919),x64731),x64732))+~P107(f334(f334(f248(a919),f334(a125,x64732)),x64731))
% 164.74/165.08 [6515]~P107(f334(f334(f248(a919),f334(a125,x65151)),f334(a125,x65152)))+P107(f334(f334(f248(a919),x65151),x65152))
% 164.74/165.08 [6516]~P107(f334(f334(f248(a112),f334(a3,x65161)),f334(a3,x65162)))+P107(f334(f334(f248(a919),x65161),x65162))
% 164.74/165.08 [6517]~P107(f334(f334(f248(a919),f334(a20,x65171)),f334(a20,x65172)))+P107(f334(f334(f248(a112),x65171),x65172))
% 164.74/165.08 [6519]~P107(f334(f334(f249(a919),f334(a125,x65191)),f334(a125,x65192)))+P107(f334(f334(f249(a919),x65191),x65192))
% 164.74/165.08 [6520]~P107(f334(f334(f249(a112),f334(a3,x65201)),f334(a3,x65202)))+P107(f334(f334(f249(a919),x65201),x65202))
% 164.74/165.08 [6521]~P107(f334(f334(f249(a919),f334(a117,x65211)),f334(a117,x65212)))+P107(f334(f334(f249(a1),x65211),x65212))
% 164.74/165.08 [6522]~P107(f334(f334(f249(a919),f334(a20,x65221)),f334(a20,x65222)))+P107(f334(f334(f249(a112),x65221),x65222))
% 164.74/165.08 [6563]~P107(f334(f334(f249(a919),f334(a117,x65632)),f334(a117,x65631)))+P107(f334(f334(f249(a1),f2(a1)),x65631))
% 164.74/165.08 [6596]P107(f334(f334(f248(a1),f2(a1)),f54(a1,x65961,x65962)))+~P107(f334(f334(f249(a1),f2(a1)),x65962))
% 164.74/165.08 [6756]P38(x67561,x67562)+~E(f334(f334(f296(x67561,x67561,x67561),x67562),x67562),f198(f926(f925(x67561,x67561),a913)))
% 164.74/165.08 [6768]~P38(x67681,x67682)+P38(x67681,f334(f334(f296(x67681,x67681,x67681),x67682),x67682))
% 164.74/165.08 [6780]P107(f334(f334(f248(a1),x67801),x67802))+~P107(f334(f334(f249(a1),x67801),f334(f334(f89(a1),x67802),f87(a1))))
% 164.74/165.08 [6781]P107(f334(f334(f249(a1),x67811),x67812))+~P107(f334(f334(f248(a1),x67811),f334(f334(f23(a1),x67812),f87(a1))))
% 164.74/165.08 [6784]P107(f334(f334(f248(a919),x67841),x67842))+~P107(f334(f334(f248(a1),f334(f113(a1),x67841)),f334(f113(a1),x67842)))
% 164.74/165.08 [6785]P107(f334(f334(f248(a1),x67851),x67852))+~P107(f334(f334(f248(a1),f334(f116(a1),x67851)),f334(f116(a1),x67852)))
% 164.74/165.08 [6787]P107(f334(f334(f249(a919),x67871),x67872))+~P107(f334(f334(f249(a1),f334(f113(a1),x67871)),f334(f113(a1),x67872)))
% 164.74/165.08 [6788]P107(f334(f334(f249(a1),x67881),x67882))+~P107(f334(f334(f249(a919),f334(f116(a919),x67881)),f334(f116(a919),x67882)))
% 164.74/165.08 [6789]P107(f334(f334(f249(a1),x67891),x67892))+~P107(f334(f334(f249(a1),f334(f116(a1),x67891)),f334(f116(a1),x67892)))
% 164.74/165.08 [6881]~E(f760(x68812,x68811),f126(x68811))+E(f334(f152(f920(x68811),f920(x68811),f144(x68811),f126(x68811)),x68812),f126(x68811))
% 164.74/165.08 [6882]~E(f763(x68822,x68821),f126(x68821))+E(f334(f152(f920(x68821),f920(x68821),f144(x68821),f126(x68821)),x68822),f126(x68821))
% 164.74/165.08 [6887]~P3(x68871)+E(f334(f152(x68871,x68871,f114(x68871),f256(x68871)),x68872),f47(x68871,f334(f182(x68871),x68872)))
% 164.74/165.08 [6888]~P3(x68881)+E(f334(f152(x68881,x68881,f123(x68881),f198(x68881)),x68882),f46(x68881,f334(f182(x68881),x68882)))
% 164.74/165.08 [6901]E(x69011,f2(a112))+E(f334(f334(f89(a919),f334(a20,f334(f334(f23(a112),x69011),f87(a112)))),f334(a125,x69012)),f334(f334(f89(a919),f334(a20,x69011)),x69012))
% 164.74/165.08 [6950]P107(f334(f334(f249(a1),f334(f334(f23(a1),x69501),x69502)),f2(a1)))+~P107(f334(f334(f249(a1),x69501),x69502))
% 164.74/165.08 [6976]~P110(x69761)+E(f334(f334(f123(f926(x69761,a913)),f334(f334(f316(x69761),x69762),f198(f926(x69761,a913)))),f334(f311(x69761),x69762)),f334(f291(x69761),x69762))
% 164.74/165.08 [7049]~P59(x70491,x70492)+P38(x70491,f334(f254(f925(x70491,x70491)),f334(f270(x70491,x70491,a913),x70492)))
% 164.74/165.08 [7050]~P59(x70501,x70502)+P57(x70501,f334(f254(f925(x70501,x70501)),f334(f270(x70501,x70501,a913),x70502)))
% 164.74/165.08 [7051]~P52(x70511,x70512)+P39(x70511,f334(f254(f925(x70511,x70511)),f334(f270(x70511,x70511,a913),x70512)))
% 164.74/165.08 [7052]E(x70521,f198(f926(x70522,a913)))+~P107(f334(f334(f248(f926(x70522,a913)),x70521),f198(f926(x70522,a913))))
% 164.74/165.08 [7133]~P107(f334(f334(f249(a919),f2(a919)),x71332))+P107(f334(f334(f248(a919),f54(a919,x71331,x71332)),x71332))
% 164.74/165.08 [7134]~P107(f334(f334(f248(a1),f2(a1)),x71341))+P107(f334(f334(f248(a1),f54(a1,x71341,x71342)),x71341))
% 164.74/165.08 [7135]~P107(f334(f334(f249(a919),f2(a919)),x71352))+P107(f334(f334(f249(a919),f54(a919,x71351,x71352)),x71352))
% 164.74/165.08 [7137]~P107(f334(f334(f249(a1),f2(a1)),x71372))+P107(f334(f334(f249(a1),f54(a1,x71371,x71372)),x71372))
% 164.74/165.08 [7215]~P111(x72151)+E(f334(f334(f23(f926(x72151,a913)),f334(f334(f316(x72151),x72152),f198(f926(x72151,a913)))),f334(f290(x72151),x72152)),f334(f334(f316(x72151),x72152),f198(f926(x72151,a913))))
% 164.74/165.08 [7288]~P45(x72881,x72882)+P41(x72881,f256(f926(x72881,a913)),f334(f254(f925(x72881,x72881)),f334(f270(x72881,x72881,a913),x72882)))
% 164.74/165.08 [7289]P107(f334(x72891,x72892))+P107(f334(f334(f336(f926(f925(a919,a919),a913)),f602(x72892,x72891)),a111))
% 164.74/165.08 [7335]E(f334(f334(f144(a919),f149(a919,f334(f309(a919,x73351),x73352))),f334(f334(f161(a919),x73352),f126(a919))),f149(a919,f334(f309(a919,x73351),f334(a125,x73352))))+~P107(f334(f334(f248(a919),x73351),x73352))
% 164.74/165.08 [7480]E(x74801,f2(a919))+~E(f334(f152(a919,a919,f89(a919),x74801),x74802),f2(a919))
% 164.74/165.08 [7507]~P107(f334(f334(f249(a1),f334(f334(f23(a1),x75071),x75072)),f2(a1)))+P107(f334(f334(f249(a1),x75071),x75072))
% 164.74/165.08 [7534]P38(x75341,x75342)+~P38(x75341,f334(f334(f296(x75341,x75341,x75341),x75342),x75342))
% 164.74/165.08 [7560]~P107(f334(f334(f248(a919),f334(a125,x75601)),x75602))+P107(f195(a913,a252,f334(f248(a919),x75601),x75602))
% 164.74/165.08 [7713]P23(a919,a919,f334(f334(f7(a919,a919,a919),f23(a919)),x77131),x77132)+P107(f334(f334(f336(a919),f870(x77131,x77132)),x77132))
% 164.74/165.08 [7769]E(f334(f334(f334(f74(a919,x77691,f89(a919)),f334(f16(a919,x77691),f87(a919))),f2(a919)),x77692),f334(f44(x77691),x77692))+~P107(f334(f70(x77691),x77692))
% 164.74/165.08 [7810]P23(a919,a919,f334(f334(f7(a919,a919,a919),f23(a919)),x78101),x78102)+~P107(f334(f334(f248(a919),x78101),f870(x78101,x78102)))
% 164.74/165.08 [7868]P38(x78681,x78682)+P107(f334(f334(f248(f926(x78681,a913)),f339(x78682,x78681)),f334(f293(x78681,x78681,x78682),f339(x78682,x78681))))
% 164.74/165.08 [7873]P59(x78731,x78732)+~P38(x78731,f334(f254(f925(x78731,x78731)),f334(f270(x78731,x78731,a913),x78732)))
% 164.74/165.08 [7874]P52(x78741,x78742)+~P39(x78741,f334(f254(f925(x78741,x78741)),f334(f270(x78741,x78741,a913),x78742)))
% 164.74/165.08 [7945]P107(f334(f334(f248(a919),f334(a125,x79451)),x79452))+~P107(f195(a913,a252,f334(f248(a919),x79451),x79452))
% 164.74/165.08 [8000]P107(f334(f334(f336(f925(a919,a919)),f334(f334(f266(a919,a919),x80001),x80002)),f314(a919,a324)))+~P107(f334(f334(f248(a919),x80001),x80002))
% 164.74/165.08 [8096]P45(x80961,x80962)+~P41(x80961,f256(f926(x80961,a913)),f334(f254(f925(x80961,x80961)),f334(f270(x80961,x80961,a913),x80962)))
% 164.74/165.08 [8156]~P107(f334(f147(x81561),x81562))+P107(f334(f147(f926(x81561,a913)),f334(f334(f164(f920(x81561),f926(x81561,a913)),f182(x81561)),f63(x81561,x81562))))
% 164.74/165.08 [8356]~P38(x83561,f334(f294(x83561,x83561),x83562))+P38(x83561,f334(f294(x83561,x83561),f334(f334(f296(x83561,x83561,x83561),x83562),f314(x83561,x83562))))
% 164.74/165.08 [8453]P24(x84531,a919,f643(x84532,x84531),x84532,f334(f309(a919,f2(a919)),f334(f44(x84531),x84532)))+~P107(f334(f70(x84531),x84532))
% 164.74/165.08 [8454]P24(a919,x84541,f631(x84542,x84541),f334(f309(a919,f2(a919)),f334(f44(x84541),x84542)),x84542)+~P107(f334(f70(x84541),x84542))
% 164.74/165.08 [8471]P24(a919,x84711,f632(x84712,x84711),f310(a919,f87(a919),f334(f44(x84711),x84712)),x84712)+~P107(f334(f70(x84711),x84712))
% 164.74/165.08 [8480]P107(f334(f70(f925(x84801,x84801)),f334(f334(f296(x84801,x84801,x84801),x84802),f314(x84801,x84802))))+~P107(f334(f70(f925(x84801,x84801)),x84802))
% 164.74/165.08 [8507]E(x85071,f2(a1))+P107(f334(f58(x85072,x85071),f334(f334(f266(a1,a1),f334(f334(f45(a1),x85072),x85071)),f54(a1,x85072,x85071))))
% 164.74/165.08 [8521]~P107(f334(f334(f336(f925(a919,a919)),f334(f334(f266(a919,a919),x85211),x85212)),f314(a919,a324)))+P107(f334(f334(f248(a919),x85211),x85212))
% 164.74/165.08 [8540]~P82(x85401)+E(f334(f152(x85401,x85401,f334(f7(x85401,x85401,x85401),f89(x85401)),f2(x85401)),f334(f178(x85401),x85402)),f334(f152(x85401,x85401,f89(x85401),f2(x85401)),x85402))
% 164.74/165.08 [8720]~P110(x87201)+E(f334(f152(f920(x87201),x87201,f334(f7(x87201,f920(x87201),f920(x87201)),f158(x87201,x87201,f5(x87201))),f126(x87201)),x87202),f160(x87201,x87201,f5(x87201),x87202))
% 164.74/165.08 [8832]~P57(x88321,f334(f254(f925(x88321,x88321)),f334(f270(x88321,x88321,a913),x88322)))+P57(x88321,f334(f254(f925(x88321,x88321)),f334(f270(x88321,x88321,a913),f257(x88321,x88321,x88322))))
% 164.74/165.08 [8846]P107(f334(f334(f336(f925(a919,a919)),f334(f334(f266(a919,a919),x88461),x88462)),f334(f334(f296(a919,a919,a919),a324),f314(a919,a324))))+~P107(f334(f334(f249(a919),x88461),x88462))
% 164.74/165.08 [8891]~P107(f334(f70(f925(x88911,x88911)),f334(f334(f296(x88911,x88911,x88911),x88912),f314(x88911,x88912))))+P107(f334(f70(f925(x88911,x88911)),x88912))
% 164.74/165.08 [8948]~P57(x89481,f334(f254(f925(x89481,x89481)),f334(f270(x89481,x89481,a913),f257(x89481,x89481,x89482))))+P57(x89481,f334(f254(f925(x89481,x89481)),f334(f270(x89481,x89481,a913),x89482)))
% 164.74/165.08 [9158]P57(x91581,x91582)+P107(f334(f334(f336(f925(x91581,x91581)),f334(f334(f266(x91581,x91581),f653(x91582,x91581)),f653(x91582,x91581))),f334(f334(f296(x91581,x91581,x91581),x91582),f314(x91581,x91582))))
% 164.74/165.08 [9159]P57(x91591,x91592)+P107(f334(f334(f336(f925(x91591,x91591)),f334(f334(f266(x91591,x91591),f657(x91592,x91591)),f657(x91592,x91591))),f334(f334(f296(x91591,x91591,x91591),x91592),f314(x91591,x91592))))
% 164.74/165.08 [9279]~P107(f334(f334(f336(f925(a919,a919)),f334(f334(f266(a919,a919),x92791),x92792)),f334(f334(f296(a919,a919,a919),a324),f314(a919,a324))))+P107(f334(f334(f249(a919),x92791),x92792))
% 164.74/165.08 [5232]~P97(x52321)+E(f334(f334(f89(x52321),f334(f116(x52321),a92)),x52322),x52322)
% 164.74/165.08 [5261]~P86(x52611)+E(f334(f334(f123(x52611),f334(f88(x52611),x52612)),x52612),f256(x52611))
% 164.74/165.08 [5262]~P86(x52621)+E(f334(f334(f114(x52621),f334(f88(x52621),x52622)),x52622),f198(x52621))
% 164.74/165.08 [5263]~P63(x52631)+E(f334(f334(f89(x52631),f334(f88(x52631),x52632)),x52632),f2(x52631))
% 164.74/165.08 [5264]~P71(x52641)+E(f334(f334(f89(x52641),f334(f88(x52641),x52642)),x52642),f2(x52641))
% 164.74/165.08 [5295]~P97(x52951)+E(f334(f334(f90(x52951),f334(f116(x52951),a110)),x52952),f334(f88(x52951),x52952))
% 164.74/165.08 [5464]~P117(x54641)+E(f334(f334(f90(x54641),f334(f88(x54641),f87(x54641))),x54642),f334(f88(x54641),x54642))
% 164.74/165.08 [5504]E(f334(f84(a1),x55041),f87(a1))+~E(f334(f84(a1),f334(f334(f90(a1),x55041),x55042)),f87(a1))
% 164.74/165.08 [5592]~P97(x55921)+E(f334(f334(f89(x55921),f87(x55921)),f334(f116(x55921),x55922)),f334(f116(x55921),f334(f334(f23(a1),x55922),a110)))
% 164.74/165.08 [5644]~P3(x56441)+E(f47(x56441,f334(f334(f316(x56441),x56442),f198(f926(x56441,a913)))),x56442)
% 164.74/165.08 [5645]~P3(x56451)+E(f46(x56451,f334(f334(f316(x56451),x56452),f198(f926(x56451,a913)))),x56452)
% 164.74/165.08 [5646]~P83(x56461)+E(f10(x56461,f334(f334(f316(x56461),x56462),f198(f926(x56461,a913)))),x56462)
% 164.74/165.08 [5647]~P83(x56471)+E(f11(x56471,f334(f334(f316(x56471),x56472),f198(f926(x56471,a913)))),x56472)
% 164.74/165.08 [5648]~P110(x56481)+E(f14(x56481,f334(f334(f316(x56481),x56482),f198(f926(x56481,a913)))),x56482)
% 164.74/165.08 [5649]~P110(x56491)+E(f15(x56491,f334(f334(f316(x56491),x56492),f198(f926(x56491,a913)))),x56492)
% 164.74/165.08 [5671]E(f334(f334(f89(a919),x56711),f334(f334(f23(a919),x56712),x56711)),x56712)+P107(f334(f334(f249(a919),x56712),x56711))
% 164.74/165.08 [5703]E(x57031,f126(x57032))+P107(f334(f334(f249(a919),f2(a919)),f334(f199(f920(x57032)),x57031)))
% 164.74/165.08 [5826]~P110(x58261)+E(f12(x58261,f246(x58261),f334(f334(f316(x58261),x58262),f198(f926(x58261,a913)))),x58262)
% 164.74/165.08 [5827]~P110(x58271)+E(f13(x58271,f247(x58271),f334(f334(f316(x58271),x58272),f198(f926(x58271,a913)))),x58272)
% 164.74/165.08 [5890]E(f334(f334(f23(a919),x58901),f334(f334(f23(a919),x58901),x58902)),x58902)+~P107(f334(f334(f248(a919),x58902),x58901))
% 164.74/165.08 [5891]E(f334(f334(f89(a919),x58911),f334(f334(f23(a919),x58912),x58911)),x58912)+~P107(f334(f334(f248(a919),x58911),x58912))
% 164.74/165.08 [5912]E(f54(a919,f334(f334(f23(a919),x59121),x59122),x59122),f54(a919,x59121,x59122))+P107(f334(f334(f249(a919),x59121),x59122))
% 164.74/165.08 [5923]E(f334(f88(a1),f334(f334(f45(a1),x59231),f334(f88(a1),x59232))),f299(x59231,x59232))+P107(f334(f334(f248(a1),f2(a1)),x59232))
% 164.74/165.08 [5925]~E(x59252,f2(a919))+P107(f334(f334(f249(a919),f2(a919)),f334(f334(f258(a919),x59251),x59252)))
% 164.74/165.08 [5977]~P97(x59771)+E(f334(f334(f89(x59771),f334(f88(x59771),f87(x59771))),f334(f116(x59771),x59772)),f334(f116(x59771),f334(f334(f89(a1),x59772),a110)))
% 164.74/165.08 [5978]E(f334(f334(f258(a919),f334(f116(a919),x59781)),x59782),f334(f334(f258(a919),f2(a919)),x59782))+~P107(f334(a203,f334(f116(a1),x59781)))
% 164.74/165.08 [6078]E(f334(f151(a919),f149(a919,f334(f309(a919,x60781),x60782))),x60781)+~P107(f334(f334(f249(a919),x60781),x60782))
% 164.74/165.08 [6095]E(f334(f334(f90(a919),f334(f116(a919),x60951)),f334(f116(a919),x60952)),f334(f116(a919),f334(f334(f90(a1),x60951),x60952)))+P107(f334(f334(f249(a1),x60951),a92))
% 164.74/165.08 [6101]~P126(x61011)+P107(f334(f334(f248(x61011),f2(x61011)),f334(f334(f90(x61011),x61012),x61012)))
% 164.74/165.08 [6113]E(f334(f334(f23(a919),f334(a125,x61131)),x61132),f334(a125,f334(f334(f23(a919),x61131),x61132)))+~P107(f334(f334(f248(a919),x61132),x61131))
% 164.74/165.08 [6116]E(f54(a919,f334(f334(f23(a919),x61161),x61162),x61162),f54(a919,x61161,x61162))+~P107(f334(f334(f248(a919),x61162),x61161))
% 164.74/165.08 [6171]E(f334(f334(f258(a919),f334(a117,x61711)),x61712),f334(a117,f334(f334(f258(a1),x61711),x61712)))+~P107(f334(f334(f248(a1),f2(a1)),x61711))
% 164.74/165.08 [6188]P107(f334(f147(x61881),x61882))+P107(f334(f334(f249(a919),f729(x61882,x61881)),f334(f199(f920(x61881)),x61882)))
% 164.74/165.08 [6189]P107(f334(f147(x61891),x61892))+P107(f334(f334(f249(a919),f733(x61892,x61891)),f334(f199(f920(x61891)),x61892)))
% 164.74/165.08 [6204]~E(x62041,f126(x62042))+~P107(f334(f334(f249(a919),f2(a919)),f334(f199(f920(x62042)),x62041)))
% 164.74/165.08 [6215]E(f154(a919,f149(a919,f334(f309(a919,x62151),x62152))),f334(f334(f23(a919),x62152),f87(a919)))+~P107(f334(f334(f249(a919),x62151),x62152))
% 164.74/165.08 [6218]E(f334(f334(f89(a1),x62181),f334(f113(a1),f334(a125,f479(x62182,x62181)))),x62182)+~P107(f334(f334(f249(a1),x62181),x62182))
% 164.74/165.08 [6225]E(x62251,f2(a919))+E(f334(f334(f90(a919),x62252),f334(f334(f258(a919),x62252),f334(f334(f23(a919),x62251),f87(a919)))),f334(f334(f258(a919),x62252),x62251))
% 164.74/165.08 [6252]E(f334(f334(f90(a919),f334(a117,x62521)),f334(a117,x62522)),f334(a117,f334(f334(f90(a1),x62521),x62522)))+~P107(f334(f334(f248(a1),f2(a1)),x62521))
% 164.74/165.08 [6253]E(f334(f334(f45(a919),f334(a117,x62531)),f334(a117,x62532)),f334(a117,f334(f334(f45(a1),x62531),x62532)))+~P107(f334(f334(f248(a1),f2(a1)),x62531))
% 164.74/165.08 [6267]~P119(x62671)+E(f334(f334(f89(x62671),x62672),x62672),f334(f334(f90(x62671),f334(f334(f89(x62671),f87(x62671)),f87(x62671))),x62672))
% 164.74/165.08 [6288]E(f334(f334(f23(a1),f334(f113(a1),x62881)),f334(f113(a1),x62882)),f334(f113(a1),f334(f334(f23(a919),x62881),x62882)))+~P107(f334(f334(f248(a919),x62882),x62881))
% 164.74/165.08 [6290]E(f334(f334(f266(a1,a1),f334(f116(a1),a110)),f334(f334(f89(a1),x62901),x62902)),f59(x62901,x62902))+~P107(f334(f334(f248(a1),x62902),f2(a1)))
% 164.74/165.08 [6327]E(f189(x63271,x63272),f126(f920(x63271)))+P107(f334(f334(f336(f920(x63271)),f728(x63272,x63271)),f334(f182(f920(x63271)),x63272)))
% 164.74/165.08 [6336]E(f129(a1,f334(f140(a1),x63361),f139(x63362,f334(f334(f89(a1),x63361),f87(a1)))),f139(x63362,x63361))+P107(f334(f334(f249(a1),x63362),x63361))
% 164.74/165.08 [6410]E(f334(f334(f161(a1),x64101),f188(f334(f334(f89(a1),x64101),f87(a1)),x64102)),f188(x64101,x64102))+~P107(f334(f334(f248(a1),x64101),x64102))
% 164.74/165.08 [6447]~P107(f334(f334(f249(a919),x64472),x64471))+P107(f334(f334(f249(a919),f2(a919)),f334(f334(f23(a919),x64471),x64472)))
% 164.74/165.08 [6478]~P107(f334(f334(f249(a919),x64781),f334(a117,x64782)))+P107(f334(f334(f249(a1),f334(f113(a1),x64781)),x64782))
% 164.74/165.08 [6506]~P110(x65061)+E(f334(f334(f123(f926(x65061,a913)),f334(f290(x65061),x65062)),f334(f334(f316(x65061),x65062),f198(f926(x65061,a913)))),f334(f308(x65061),x65062))
% 164.74/165.08 [6507]~P107(f334(f334(f248(a1),f2(a1)),x65071))+P107(f334(f334(f248(a1),f2(a1)),f334(f334(f258(a1),x65071),x65072)))
% 164.74/165.08 [6510]~P107(f334(f334(f249(a919),f2(a919)),x65101))+P107(f334(f334(f249(a919),f2(a919)),f334(f334(f258(a919),x65101),x65102)))
% 164.74/165.08 [6539]~E(f334(x65391,f2(a919)),f2(a919))+E(f334(f334(f6(a919,a919),x65391),f310(a919,f334(a125,f2(a919)),x65392)),f334(f334(f6(a919,a919),x65391),f310(a919,f2(a919),x65392)))
% 164.74/165.08 [6604]~P97(x66041)+E(f334(f334(f90(x66041),f334(f334(f89(x66041),f87(x66041)),f87(x66041))),f334(f116(x66041),x66042)),f334(f116(x66041),f334(f334(f89(a1),x66042),x66042)))
% 164.74/165.08 [6620]E(f334(f334(f316(a1),x66201),f310(a1,f334(f334(f89(a1),x66201),f87(a1)),x66202)),f310(a1,x66201,x66202))+P107(f334(f334(f249(a1),x66202),x66201))
% 164.74/165.08 [6621]P107(f334(f334(f249(a919),x66211),f334(a117,x66212)))+~P107(f334(f334(f249(a1),f334(f113(a1),x66211)),x66212))
% 164.74/165.08 [6725]E(f334(a117,f334(f334(f45(a1),f334(f116(a1),x67251)),f334(f116(a1),x67252))),f334(f334(f45(a919),f334(f116(a919),x67251)),f334(f116(a919),x67252)))+P107(f334(a203,f334(f116(a1),x67251)))
% 164.74/165.08 [6782]P107(f334(f334(f249(a919),x67821),x67822))+~P107(f334(f334(f249(a919),f2(a919)),f334(f334(f23(a919),x67822),x67821)))
% 164.74/165.08 [6825]P107(f334(f334(f249(a919),f2(a919)),x68251))+~P107(f334(f334(f249(a919),f2(a919)),f334(f334(f90(a919),x68252),x68251)))
% 164.74/165.08 [6826]P107(f334(f334(f249(a919),f2(a919)),x68261))+~P107(f334(f334(f249(a919),f2(a919)),f334(f334(f90(a919),x68261),x68262)))
% 164.74/165.08 [6844]~P107(f334(f334(f248(a1),x68441),f2(a1)))+E(f334(f334(f90(a919),f334(a117,f334(f88(a1),x68441))),f334(a117,f334(f88(a1),x68442))),f334(a117,f334(f334(f90(a1),x68441),x68442)))
% 164.74/165.08 [6899]~E(x68992,f198(f926(x68991,a913)))+P107(f334(f334(f248(f926(x68991,a913)),x68992),f334(f88(f926(x68991,a913)),x68992)))
% 164.74/165.08 [6961]~P97(x69611)+E(f334(f334(f89(x69611),f334(f334(f89(x69611),f2(x69611)),f334(f116(x69611),x69612))),f334(f116(x69611),x69612)),f334(f116(x69611),f334(f334(f89(a1),x69612),x69612)))
% 164.74/165.08 [7015]~P107(f334(f334(f249(a1),x70151),x70152))+P107(f334(f334(f248(a1),f334(f334(f89(a1),x70151),f87(a1))),x70152))
% 164.74/165.08 [7081]E(x70811,f2(a919))+~P107(f334(f334(f248(a1),f334(f113(a1),x70812)),f334(f88(a1),f334(f113(a1),x70811))))
% 164.74/165.08 [7082]E(x70821,f2(a919))+~P107(f334(f334(f248(a1),f334(f113(a1),x70821)),f334(f88(a1),f334(f113(a1),x70822))))
% 164.74/165.08 [7183]E(f334(f334(f266(a1,a1),f334(f116(a1),a110)),f334(f334(f89(a1),x71831),x71832)),f59(x71831,x71832))+~P107(f334(f334(f248(a1),f2(a1)),f334(f334(f89(a1),x71831),x71832)))
% 164.74/165.08 [7227]~P25(x72271,x72272)+P38(x72271,f334(f265(f926(f925(x72271,x72271),a913),f926(f925(x72271,x72271),a913)),x72272))
% 164.74/165.08 [7245]~P107(f334(f334(f248(a919),f334(a125,f2(a919))),x72451))+P107(f334(f334(f248(a919),f334(a125,f2(a919))),f334(f334(f258(a919),x72451),x72452)))
% 164.74/165.08 [7422]~P107(f334(f334(f248(a1),x74221),x74222))+P107(f334(f334(f248(a1),f334(f334(f89(a1),x74221),x74221)),f334(f334(f89(a1),x74222),x74222)))
% 164.74/165.08 [7427]~P107(f334(f334(f249(a1),x74271),x74272))+P107(f334(f334(f249(a1),f334(f334(f89(a1),x74271),x74271)),f334(f334(f89(a1),x74272),x74272)))
% 164.74/165.08 [7481]~P107(f334(f334(f249(a919),f2(a919)),x74811))+P107(f334(f334(f249(a919),f334(f334(f23(a919),x74811),f334(a125,x74812))),x74811))
% 164.74/165.08 [7516]P107(f334(f334(f248(a919),f334(a125,f2(a919))),x75161))+~P107(f334(f334(f248(a919),f334(a125,f2(a919))),f334(f334(f90(a919),x75162),x75161)))
% 164.74/165.08 [7517]P107(f334(f334(f248(a919),f334(a125,f2(a919))),x75171))+~P107(f334(f334(f248(a919),f334(a125,f2(a919))),f334(f334(f90(a919),x75171),x75172)))
% 164.74/165.08 [7521]P107(f334(f334(f248(a919),f334(f334(f174(a919),x75211),x75212)),f334(f175(a919),x75211)))+~P107(f334(f334(f249(a919),x75212),f334(f199(f920(a919)),x75211)))
% 164.74/165.08 [7559]P107(f334(f334(f249(a1),x75591),x75592))+~P107(f334(f334(f248(a1),f334(f334(f89(a1),x75591),f87(a1))),x75592))
% 164.74/165.08 [7602]P107(f334(f70(x76021),f256(f926(x76021,a913))))+~P107(f334(f70(f926(x76022,x76021)),f256(f926(f926(x76022,x76021),a913))))
% 164.74/165.08 [7603]P107(f334(f70(x76031),f256(f926(x76031,a913))))+~P107(f334(f70(f927(x76032,x76031)),f256(f926(f927(x76032,x76031),a913))))
% 164.74/165.08 [7604]P107(f334(f70(x76041),f256(f926(x76041,a913))))+~P107(f334(f70(f927(x76041,x76042)),f256(f926(f927(x76041,x76042),a913))))
% 164.74/165.08 [7643]E(x76431,f198(f926(x76432,a913)))+~P107(f334(f334(f248(f926(x76432,a913)),x76431),f334(f88(f926(x76432,a913)),x76431)))
% 164.74/165.08 [7779]E(f334(f152(f920(x77791),f920(x77791),f144(x77791),f126(x77791)),x77792),f126(x77791))+P107(f334(f334(f336(f920(x77791)),f760(x77792,x77791)),f334(f182(f920(x77791)),x77792)))
% 164.74/165.08 [7780]E(f334(f152(f920(x77801),f920(x77801),f144(x77801),f126(x77801)),x77802),f126(x77801))+P107(f334(f334(f336(f920(x77801)),f763(x77802,x77801)),f334(f182(f920(x77801)),x77802)))
% 164.74/165.08 [8018]P107(f334(f334(f248(a1),x80181),x80182))+~P107(f334(f334(f248(a1),f334(f334(f89(a1),x80181),x80181)),f334(f334(f89(a1),x80182),x80182)))
% 164.74/165.08 [8023]P107(f334(f334(f249(a1),x80231),x80232))+~P107(f334(f334(f249(a1),f334(f334(f89(a1),x80231),x80231)),f334(f334(f89(a1),x80232),x80232)))
% 164.74/165.08 [8115]~P119(x81151)+E(f334(f334(f90(x81151),f334(f334(f89(x81151),f87(x81151)),f87(x81151))),f334(f334(f6(a919,x81151),f113(x81151)),f310(a919,f87(a919),x81152))),f334(f334(f90(x81151),f334(f113(x81151),x81152)),f334(f334(f89(x81151),f334(f113(x81151),x81152)),f87(x81151))))
% 164.74/165.08 [8170]P107(f334(f334(f336(a919),x81701),x81702))+~P107(f334(f334(f336(a1),f334(f113(a1),x81701)),f334(f317(a919,a1,f113(a1)),x81702)))
% 164.74/165.08 [8327]~P107(f334(f70(x83271),x83272))+E(f334(f317(a919,x83271,f402(x83272,x83271)),f334(f254(a919),f334(f334(f7(a919,a919,a913),f249(a919)),f403(x83272,x83271)))),x83272)
% 164.74/165.08 [8617]P43(x86171,x86172)+P107(f334(f334(f336(f925(x86171,x86171)),f334(f334(f266(x86171,x86171),f901(x86172,x86171)),f901(x86172,x86171))),x86172))
% 164.74/165.08 [8618]P39(x86181,x86182)+P107(f334(f334(f336(f925(x86181,x86181)),f334(f334(f266(x86181,x86181),f846(x86182,x86181)),f849(x86182,x86181))),x86182))
% 164.74/165.08 [8619]P39(x86191,x86192)+P107(f334(f334(f336(f925(x86191,x86191)),f334(f334(f266(x86191,x86191),f849(x86192,x86191)),f850(x86192,x86191))),x86192))
% 164.74/165.08 [8763]~P97(x87631)+E(f334(f334(f23(x87631),f87(x87631)),f334(f116(x87631),x87632)),f334(f116(x87631),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f88(a1),x87632))))
% 164.74/165.08 [8888]~P107(f334(f334(f249(f926(a919,a913)),x88881),x88882))+P107(f334(f334(f249(f926(a1,a913)),f334(f317(a919,a1,f113(a1)),x88881)),f334(f317(a919,a1,f113(a1)),x88882)))
% 164.74/165.08 [8921]~P107(f334(f334(f249(a1),x89211),x89212))+P107(f334(f334(f248(a1),f334(f334(f23(a1),f334(f334(f89(a1),x89211),x89211)),a110)),f334(f334(f89(a1),x89212),x89212)))
% 164.74/165.08 [8923]~P107(f334(f334(f249(a1),x89231),x89232))+P107(f334(f334(f249(a1),f334(f334(f23(a1),f334(f334(f89(a1),x89231),x89231)),a110)),f334(f334(f89(a1),x89232),x89232)))
% 164.74/165.08 [8996]~P107(f334(f334(f336(a919),x89961),f334(f182(a919),x89962)))+P107(f334(f334(f248(a919),x89961),f334(f152(a919,a919,f89(a919),f2(a919)),x89962)))
% 164.74/165.08 [9092]P48(x90921,x90922)+~P107(f334(f334(f336(f925(x90921,x90921)),f334(f334(f266(x90921,x90921),f902(x90922,x90921)),f902(x90922,x90921))),x90922))
% 164.74/165.08 [9093]P39(x90931,x90932)+~P107(f334(f334(f336(f925(x90931,x90931)),f334(f334(f266(x90931,x90931),f846(x90932,x90931)),f850(x90932,x90931))),x90932))
% 164.74/165.08 [9241]~P107(f334(f334(f248(f926(a1,a913)),f334(f317(a919,a1,f113(a1)),x92411)),f334(f317(a919,a1,f113(a1)),x92412)))+P107(f334(f334(f248(f926(a919,a913)),x92411),x92412))
% 164.74/165.08 [9242]~P107(f334(f334(f249(f926(a1,a913)),f334(f317(a919,a1,f113(a1)),x92421)),f334(f317(a919,a1,f113(a1)),x92422)))+P107(f334(f334(f249(f926(a919,a913)),x92421),x92422))
% 164.74/165.08 [9327]P107(f334(f334(f249(a1),x93271),x93272))+~P107(f334(f334(f248(a1),f334(f334(f23(a1),f334(f334(f89(a1),x93271),x93271)),a110)),f334(f334(f89(a1),x93272),x93272)))
% 164.74/165.08 [9329]P107(f334(f334(f249(a1),x93291),x93292))+~P107(f334(f334(f249(a1),f334(f334(f23(a1),f334(f334(f89(a1),x93291),x93291)),a110)),f334(f334(f89(a1),x93292),x93292)))
% 164.74/165.08 [10231]~P105(x102311)+E(f129(f920(x102311),f334(f140(f920(x102311)),f126(x102311)),f334(f334(f334(f109(f921(f920(x102311))),f334(f334(f249(a1),f2(a1)),x102312)),f334(f131(f925(x102311,f920(x102311)),f920(x102311),f141(x102311,f920(x102311),f142(x102311,f334(f334(f23(a1),x102312),f87(a1))),f142(f920(x102311),f334(f334(f23(a1),x102312),f87(a1))))),f334(f270(x102311,f920(x102311),f921(f920(x102311))),f334(f334(f8(f926(f920(x102311),f920(x102311)),f926(f920(x102311),f921(f920(x102311))),x102311),f334(f8(f920(x102311),f921(f920(x102311)),f920(x102311)),f140(f920(x102311)))),f161(x102311))))),f128(f920(x102311)))),f142(f920(x102311),x102312))
% 164.74/165.08 [10253]~P107(f334(f70(x102531),x102532))+E(f334(f199(f920(x102531)),f99(f920(x102531),f334(f334(f18(f920(x102531),a913,a913),f334(f334(f8(a913,f926(a913,a913),f920(x102531)),a333),f334(f334(f7(f920(x102531),f926(x102531,a913),a913),f334(f334(f8(f926(x102531,a913),f926(f926(x102531,a913),a913),f920(x102531)),a331),f182(x102531))),x102532))),f147(x102531)))),f228(x102531,x102532))
% 164.74/165.08 [10408]~P22(a914,x104081,f334(f334(f316(f918(a914)),f334(f334(f334(f100(a914),a331),x104082),f204(x104082))),f198(f926(f918(a914),a913))))+P22(a914,x104081,f334(f334(f316(f918(a914)),f334(f334(f334(f100(a914),f334(f334(f8(f926(a914,f926(a914,a913)),f926(a914,a913),a914),f334(f8(f926(a914,a913),a913,a914),f97(a914))),f334(f334(f8(f926(a914,a913),f926(a914,f926(a914,a913)),a914),f334(f7(a914,f926(a914,a913),f926(a914,a913)),f334(f334(f8(f926(a914,f926(a913,a913)),f926(f926(a914,a913),f926(a914,a913)),a914),f18(a914,a913,a913)),f334(f334(f8(f926(a914,a913),f926(a914,f926(a913,a913)),a914),f334(f8(a913,f926(a913,a913),a914),a337)),f204(x104082))))),a331))),x104082),a331)),f198(f926(f918(a914),a913))))
% 164.74/165.08 [6214]E(f334(f334(f89(a919),f334(f334(f23(a919),x62141),x62142)),x62142),x62141)+~P107(f334(f334(f248(a919),x62142),x62141))
% 164.74/165.08 [6284]E(f334(f334(f45(a919),f334(f334(f90(a919),x62841),x62842)),x62842),x62841)+~P107(f334(f334(f249(a919),f2(a919)),x62842))
% 164.74/165.08 [6285]E(f334(f334(f45(a919),f334(f334(f90(a919),x62851),x62852)),x62851),x62852)+~P107(f334(f334(f249(a919),f2(a919)),x62851))
% 164.74/165.08 [6289]~P72(x62891)+E(f334(f334(f6(a919,x62891),f334(f174(x62891),x62892)),f334(f309(a919,f2(a919)),f334(f199(f920(x62891)),x62892))),f334(f175(x62891),x62892))
% 164.74/165.08 [6402]E(f54(a919,f334(a125,f334(f334(f90(a919),x64021),x64022)),x64021),f87(a919))+~P107(f334(f334(f249(a919),f87(a919)),x64021))
% 164.74/165.08 [6408]E(f334(a125,f334(f334(f89(a919),f334(f116(a919),x64081)),x64082)),f334(f334(f89(a919),f87(a919)),x64082))+~P107(f334(a203,f334(f116(a1),x64081)))
% 164.74/165.08 [6436]E(f334(a117,f334(f334(f258(a1),f334(f116(a1),x64361)),x64362)),f334(f334(f258(a919),f334(f116(a919),x64361)),x64362))+P107(f334(a203,f334(f116(a1),x64361)))
% 164.74/165.08 [6674]E(f334(f334(f23(a919),x66741),f334(f116(a919),f334(f334(f89(a1),x66742),a110))),f334(f334(f23(a919),f334(a125,x66741)),f334(f116(a919),x66742)))+~P107(f334(f334(f249(a1),a92),x66742))
% 164.74/165.08 [6755]E(x67551,f2(a919))+E(f334(a125,f334(f334(f89(a919),f334(f334(f23(a919),x67551),f87(a919))),x67552)),f334(f334(f89(a919),x67551),x67552))
% 164.74/165.08 [6795]E(x67951,f2(a1))+P107(f334(f334(f249(a1),f2(a1)),f334(f334(f258(a1),f334(f84(a1),x67951)),x67952)))
% 164.74/165.08 [6810]~E(x68102,f2(a919))+P107(f334(f334(f249(a1),f2(a1)),f334(f334(f258(a1),f334(f84(a1),x68101)),x68102)))
% 164.74/165.08 [6847]E(x68471,f2(a919))+E(f334(f334(f89(a919),x68472),f334(f334(f90(a919),f334(f334(f23(a919),x68471),f87(a919))),x68472)),f334(f334(f90(a919),x68471),x68472))
% 164.74/165.08 [6892]~P107(f334(f334(f248(a1),x68921),x68922))+P107(f334(f334(f249(a1),f334(f334(f89(a1),x68921),a110)),x68922))
% 164.74/165.08 [7018]E(f334(f334(f161(a919),x70181),f149(a919,f334(f309(a919,f334(a125,x70181)),x70182))),f149(a919,f334(f309(a919,x70181),x70182)))+~P107(f334(f334(f249(a919),x70181),x70182))
% 164.74/165.08 [7218]E(x72181,x72182)+~E(f334(f334(f23(a1),f334(f334(f89(a1),x72181),x72181)),a110),f334(f334(f23(a1),f334(f334(f89(a1),x72182),x72182)),a110))
% 164.74/165.08 [7221]E(x72211,f126(x72212))+E(f276(x72212,f334(f334(f164(x72212,f925(a112,x72212)),f334(f266(a112,x72212),f87(a112))),x72211)),f283(x72212,x72211))
% 164.74/165.08 [7452]P107(f334(f334(f248(a1),x74521),x74522))+~P107(f334(f334(f249(a1),f334(f334(f89(a1),x74521),a110)),x74522))
% 164.74/165.08 [7922]~P107(f334(f334(f249(a919),x79221),x79222))+P107(f334(f334(f336(f925(a919,a919)),f334(f334(f266(a919,a919),x79221),x79222)),a253))
% 164.74/165.08 [8144]~P107(f334(f334(f249(a112),f2(a112)),x81441))+P107(f334(f334(f249(a112),f334(f265(a112,f925(a112,a112)),f334(f277(x81441),x81442))),x81441))
% 164.74/165.08 [8409]~P39(x84091,x84092)+P39(x84091,f334(f334(f123(f926(f925(x84091,x84091),a913)),x84092),f314(x84091,f198(f926(f925(x84091,x84091),a913)))))
% 164.74/165.08 [8457]~P91(x84571)+P107(f334(f334(f248(x84571),f334(f84(x84571),f334(f175(x84571),x84572))),f334(f175(x84571),f334(f334(f164(x84571,x84571),f84(x84571)),x84572))))
% 164.74/165.08 [8482]P107(f334(f334(f249(a919),x84821),x84822))+~P107(f334(f334(f336(f925(a919,a919)),f334(f334(f266(a919,a919),x84821),x84822)),a253))
% 164.74/165.08 [8641]E(f334(f334(f266(x86411,x86411),f680(x86412,x86411)),f680(x86412,x86411)),x86412)+~P107(f334(f334(f336(f925(x86411,x86411)),x86412),f314(x86411,f198(f926(f925(x86411,x86411),a913)))))
% 164.74/165.08 [8684]E(f334(f309(a919,x86841),f334(f334(f89(a919),x86841),f334(f44(a919),x86842))),x86842)+~P107(f334(f334(f248(f926(a919,a913)),x86842),f334(f309(a919,x86841),f334(f334(f89(a919),x86841),f334(f44(a919),x86842)))))
% 164.74/165.08 [9040]E(f334(f334(f45(a1),f334(f116(a1),f334(f334(f23(a1),f334(f334(f89(a1),x90401),x90401)),a110))),f334(f116(a1),f334(f334(f89(a1),x90402),x90402))),f334(f334(f45(a1),f334(f116(a1),x90401)),f334(f116(a1),x90402)))+~P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),x90402)))
% 164.74/165.08 [9141]~P39(x91411,x91412)+P107(f334(f334(f248(f926(f925(x91411,x91411),a913)),f334(f334(f296(x91411,x91411,x91411),x91412),x91412)),x91412))
% 164.74/165.08 [9169]E(f187(f920(x91691),f334(f334(f8(a913,a913,f920(x91691)),a329),f334(f334(f7(f920(x91691),f920(x91691),a913),a331),f126(x91691))),x91692),f189(x91691,f189(x91691,x91692)))+~P12(a919,f334(f178(a919),f334(f334(f164(f920(x91691),a919),f199(f920(x91691))),x91692)))
% 164.74/165.08 [9172]E(f334(f334(f45(a1),f334(f116(a1),f334(f334(f23(a1),f334(f334(f89(a1),x91721),x91721)),a110))),f334(f116(a1),f334(f334(f89(a1),x91722),x91722))),f334(f334(f45(a1),f334(f334(f89(a1),f334(f116(a1),x91721)),f87(a1))),f334(f116(a1),x91722)))+P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),x91722)))
% 164.74/165.08 [10030]P107(f334(a203,x100302))+E(f334(f334(f95(a1,a919),f334(f334(f23(a1),x100301),x100302)),f334(f334(f18(a1,a919,a919),f334(f334(f7(a1,a919,f926(a919,a919)),f334(f334(f8(a913,f926(a919,f926(a919,a919)),a1),f109(a919)),a203)),f2(a919))),a117)),f334(f334(f23(a919),f334(a117,x100301)),f334(a117,x100302)))
% 164.74/165.08 [10038]E(f334(f334(f95(a1,a919),f334(f116(a1),f334(f334(f89(a1),x100381),f334(f88(a1),x100382)))),f334(f334(f18(a1,a919,a919),f334(f334(f7(a1,a919,f926(a919,a919)),f334(f334(f8(a913,f926(a919,f926(a919,a919)),a1),f109(a919)),a203)),f2(a919))),a117)),f334(f334(f23(a919),f334(f116(a919),x100381)),f334(f116(a919),x100382)))+P107(f334(f334(f249(a1),x100382),a92))
% 164.74/165.08 [10039]~P25(x100391,x100392)+P107(f334(f334(f248(f926(f925(x100391,x100391),a913)),f334(f334(f296(x100391,x100391,x100391),f334(f265(f926(f925(x100391,x100391),a913),f926(f925(x100391,x100391),a913)),x100392)),f334(f269(f926(f925(x100391,x100391),a913),f926(f925(x100391,x100391),a913)),x100392))),f334(f265(f926(f925(x100391,x100391),a913),f926(f925(x100391,x100391),a913)),x100392)))
% 164.74/165.08 [10102]~E(f334(f44(a919),f334(f254(a919),f334(f334(f18(a919,a913,a913),f334(f334(f8(a913,f926(a913,a913),a919),a333),f334(f334(f7(a919,f926(a919,a913),a913),f336(a919)),x101021))),f334(f334(f7(a919,a919,a913),f249(a919)),f334(a125,x101022))))),f2(a919))+~P107(f334(f334(f336(a919),f2(a919)),x101021))
% 164.74/165.08 [10160]E(f54(a1,f334(f116(a1),f334(f334(f23(a1),f334(f334(f89(a1),x101601),x101601)),a110)),f334(f116(a1),f334(f334(f89(a1),x101602),x101602))),f334(f334(f89(a1),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f54(a1,f334(f116(a1),x101601),f334(f116(a1),x101602)))),f87(a1)))+~P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),x101602)))
% 164.74/165.08 [10169]E(f54(a1,f334(f116(a1),f334(f334(f23(a1),f334(f334(f89(a1),x101691),x101691)),a110)),f334(f116(a1),f334(f334(f89(a1),x101692),x101692))),f334(f334(f23(a1),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f54(a1,f334(f334(f89(a1),f334(f116(a1),x101691)),f87(a1)),f334(f116(a1),x101692)))),f87(a1)))+P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),x101692)))
% 164.74/165.08 [10220]~P3(x102201)+E(f46(x102201,f334(f254(x102201),f334(f334(f8(f926(x102201,a913),a913,x102201),f97(x102201)),f334(f334(f8(f926(x102201,a913),f926(x102201,a913),x102201),f334(f18(x102201,a913,a913),f334(f334(f8(a913,f926(a913,a913),x102201),a337),f334(f334(f7(x102201,f926(x102201,a913),a913),f336(x102201)),x102202)))),f248(x102201))))),f47(x102201,x102202))
% 164.74/165.08 [10246]~P38(x102461,x102462)+P59(x102461,f334(f334(f7(x102461,f926(f925(x102461,x102461),a913),f926(x102461,a913)),f334(f334(f8(f926(x102461,f926(f926(f925(x102461,x102461),a913),a913)),f926(f926(f925(x102461,x102461),a913),f926(x102461,a913)),x102461),f7(x102461,f926(f925(x102461,x102461),a913),a913)),f334(f334(f8(f926(x102461,f925(x102461,x102461)),f926(x102461,f926(f926(f925(x102461,x102461),a913),a913)),x102461),f334(f8(f925(x102461,x102461),f926(f926(f925(x102461,x102461),a913),a913),x102461),f336(f925(x102461,x102461)))),f266(x102461,x102461)))),x102462))
% 164.74/165.08 [10247]~P6(x102471,f256(f926(x102471,a913)),x102472)+P5(x102471,f334(f334(f7(x102471,f926(f925(x102471,x102471),a913),f926(x102471,a913)),f334(f334(f8(f926(x102471,f926(f926(f925(x102471,x102471),a913),a913)),f926(f926(f925(x102471,x102471),a913),f926(x102471,a913)),x102471),f7(x102471,f926(f925(x102471,x102471),a913),a913)),f334(f334(f8(f926(x102471,f925(x102471,x102471)),f926(x102471,f926(f926(f925(x102471,x102471),a913),a913)),x102471),f334(f8(f925(x102471,x102471),f926(f926(f925(x102471,x102471),a913),a913),x102471),f336(f925(x102471,x102471)))),f266(x102471,x102471)))),x102472))
% 164.74/165.08 [10286]P38(x102861,x102862)+~P59(x102861,f334(f334(f7(x102861,f926(f925(x102861,x102861),a913),f926(x102861,a913)),f334(f334(f8(f926(x102861,f926(f926(f925(x102861,x102861),a913),a913)),f926(f926(f925(x102861,x102861),a913),f926(x102861,a913)),x102861),f7(x102861,f926(f925(x102861,x102861),a913),a913)),f334(f334(f8(f926(x102861,f925(x102861,x102861)),f926(x102861,f926(f926(f925(x102861,x102861),a913),a913)),x102861),f334(f8(f925(x102861,x102861),f926(f926(f925(x102861,x102861),a913),a913),x102861),f336(f925(x102861,x102861)))),f266(x102861,x102861)))),x102862))
% 164.74/165.08 [10287]P6(x102871,f256(f926(x102871,a913)),x102872)+~P5(x102871,f334(f334(f7(x102871,f926(f925(x102871,x102871),a913),f926(x102871,a913)),f334(f334(f8(f926(x102871,f926(f926(f925(x102871,x102871),a913),a913)),f926(f926(f925(x102871,x102871),a913),f926(x102871,a913)),x102871),f7(x102871,f926(f925(x102871,x102871),a913),a913)),f334(f334(f8(f926(x102871,f925(x102871,x102871)),f926(x102871,f926(f926(f925(x102871,x102871),a913),a913)),x102871),f334(f8(f925(x102871,x102871),f926(f926(f925(x102871,x102871),a913),a913),x102871),f336(f925(x102871,x102871)))),f266(x102871,x102871)))),x102872))
% 164.74/165.08 [7402]E(f334(f334(f89(a919),f334(f116(a919),f334(f334(f23(a1),x74021),a110))),x74022),f334(a125,f334(f334(f89(a919),f334(f116(a919),x74021)),x74022)))+P107(f334(a203,f334(f116(a1),x74021)))
% 164.74/165.08 [7838]~P97(x78381)+E(f334(f334(f89(x78381),f334(f334(f89(x78381),f87(x78381)),f334(f116(x78381),x78382))),f334(f116(x78381),x78382)),f334(f116(x78381),f334(f334(f23(a1),f334(f334(f89(a1),x78382),x78382)),a110)))
% 164.74/165.08 [8484]~P107(f334(f334(f248(a1),x84841),x84842))+P107(f334(f334(f248(a1),f334(f334(f89(a1),x84841),x84841)),f334(f334(f23(a1),f334(f334(f89(a1),x84842),x84842)),a110)))
% 164.74/165.08 [8486]~P107(f334(f334(f248(a1),x84861),x84862))+P107(f334(f334(f249(a1),f334(f334(f89(a1),x84861),x84861)),f334(f334(f23(a1),f334(f334(f89(a1),x84862),x84862)),a110)))
% 164.74/165.08 [8925]P107(f334(f334(f248(a1),x89251),x89252))+~P107(f334(f334(f248(a1),f334(f334(f89(a1),x89251),x89251)),f334(f334(f23(a1),f334(f334(f89(a1),x89252),x89252)),a110)))
% 164.74/165.08 [8927]P107(f334(f334(f248(a1),x89271),x89272))+~P107(f334(f334(f249(a1),f334(f334(f89(a1),x89271),x89271)),f334(f334(f23(a1),f334(f334(f89(a1),x89272),x89272)),a110)))
% 164.74/165.08 [9230]~P107(f334(f334(f248(a1),x92301),x92302))+P107(f334(f334(f248(a1),f334(f334(f23(a1),f334(f334(f89(a1),x92301),x92301)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),x92302),x92302)),a110)))
% 164.74/165.08 [9232]~P107(f334(f334(f249(a1),x92321),x92322))+P107(f334(f334(f249(a1),f334(f334(f23(a1),f334(f334(f89(a1),x92321),x92321)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),x92322),x92322)),a110)))
% 164.74/165.08 [9505]P107(f334(f334(f248(a1),x95051),x95052))+~P107(f334(f334(f248(a1),f334(f334(f23(a1),f334(f334(f89(a1),x95051),x95051)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),x95052),x95052)),a110)))
% 164.74/165.08 [9507]P107(f334(f334(f249(a1),x95071),x95072))+~P107(f334(f334(f249(a1),f334(f334(f23(a1),f334(f334(f89(a1),x95071),x95071)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),x95072),x95072)),a110)))
% 164.74/165.08 [9540]~P107(f334(f70(x95401),x95402))+P107(f334(f70(f926(x95401,a913)),f334(f254(f926(x95401,a913)),f334(f334(f7(f926(x95401,a913),f926(x95401,a913),a913),f248(f926(x95401,a913))),x95402))))
% 164.74/165.08 [9591]~E(f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),x95911),f198(f926(f925(a919,a919),a913)))),f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),x95912),f198(f926(f925(a919,a919),a913)))))+P107(f334(f334(f336(f925(f925(a919,a919),f925(a919,a919))),f334(f334(f266(f925(a919,a919),f925(a919,a919)),x95911),x95912)),a121))
% 164.74/165.08 [9680]E(f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),x96801),f198(f926(f925(a919,a919),a913)))),f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),x96802),f198(f926(f925(a919,a919),a913)))))+~P107(f334(f334(f336(f925(f925(a919,a919),f925(a919,a919))),f334(f334(f266(f925(a919,a919),f925(a919,a919)),x96801),x96802)),a121))
% 164.74/165.08 [9724]P107(f334(f334(f248(a1),f2(a1)),f700(x97241,x97242)))+E(f334(f254(a1),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f248(a1),f2(a1)))),x97241)),f334(f254(a1),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f248(a1),f2(a1)))),x97242)))
% 164.74/165.08 [10230]~P3(x102301)+E(f47(x102301,f334(f254(x102301),f334(f334(f8(f926(x102301,a913),a913,x102301),f97(x102301)),f334(f334(f8(f926(x102301,a913),f926(x102301,a913),x102301),f334(f18(x102301,a913,a913),f334(f334(f8(a913,f926(a913,a913),x102301),a337),f334(f334(f7(x102301,f926(x102301,a913),a913),f336(x102301)),x102302)))),f334(f7(x102301,x102301,a913),f248(x102301)))))),f46(x102301,x102302))
% 164.74/165.08 [10252]P107(f334(f334(f336(a919),f2(a919)),x102521))+E(f334(f44(a919),f334(f254(a919),f334(f334(f18(a919,a913,a913),f334(f334(f8(a913,f926(a913,a913),a919),a333),f334(f334(f7(a919,f926(a919,a913),a913),f334(f334(f8(a919,f926(f926(a919,a913),a913),a919),f336(a919)),a125)),x102521))),f334(f334(f7(a919,a919,a913),f249(a919)),x102522)))),f334(f44(a919),f334(f254(a919),f334(f334(f18(a919,a913,a913),f334(f334(f8(a913,f926(a913,a913),a919),a333),f334(f334(f7(a919,f926(a919,a913),a913),f336(a919)),x102521))),f334(f334(f7(a919,a919,a913),f249(a919)),f334(a125,x102522))))))
% 164.74/165.08 [7707]~P97(x77071)+E(f334(f334(f90(x77071),x77072),f334(f116(x77071),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),x77072)
% 164.74/165.08 [7970]~P97(x79701)+E(f334(f334(f89(x79701),f334(f116(x79701),x79702)),f87(x79701)),f334(f116(x79701),f334(f334(f89(a1),x79702),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))
% 164.74/165.08 [8113]P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),x81132)))+E(f334(f334(f258(a1),x81131),f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),x81132),x81132)),a110))),f87(a1))
% 164.74/165.08 [9566]~P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),x95662)))+E(f334(f334(f258(a1),x95661),f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),x95662),x95662)),a110))),f334(f334(f95(a1,a1),f334(f334(f258(a1),x95661),f334(f116(a919),x95662))),f334(f334(f18(a1,a1,a1),f334(f334(f8(a1,f926(a1,a1),a1),f90(a1)),f334(f90(a1),x95661))),f5(a1))))
% 164.74/165.08 [9947]~P107(f334(f334(f248(a919),f711(x99472,x99471)),f334(x99471,f711(x99472,x99471))))+P107(f334(f70(a919),f334(f254(a919),f334(f334(f7(a919,a919,a913),f334(f334(f8(a919,f926(a919,a913),a919),f248(a919)),x99471)),x99472))))
% 164.74/165.08 [10092]~P107(f334(f334(f248(a919),f334(f116(a919),x100921)),f334(a125,x100922)))+P107(f334(f334(f95(a1,a913),f334(f116(a1),f334(f334(f89(a1),x100921),a110))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a337),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f7(a1,a919,a913),f334(f334(f8(a919,f926(a919,a913),a1),f248(a919)),a117)),x100922))))
% 164.74/165.08 [10093]~P107(f334(f334(f249(a919),f334(f116(a919),x100931)),f334(a125,x100932)))+P107(f334(f334(f95(a1,a913),f334(f116(a1),f334(f334(f89(a1),x100931),a110))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a337),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f7(a1,a919,a913),f334(f334(f8(a919,f926(a919,a913),a1),f249(a919)),a117)),x100932))))
% 164.74/165.08 [10144]P107(f334(f334(f248(a919),f334(f116(a919),x101441)),f334(a125,x101442)))+~P107(f334(f334(f95(a1,a913),f334(f116(a1),f334(f334(f89(a1),x101441),a110))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a337),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f7(a1,a919,a913),f334(f334(f8(a919,f926(a919,a913),a1),f248(a919)),a117)),x101442))))
% 164.74/165.08 [10145]P107(f334(f334(f249(a919),f334(f116(a919),x101451)),f334(a125,x101452)))+~P107(f334(f334(f95(a1,a913),f334(f116(a1),f334(f334(f89(a1),x101451),a110))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a337),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f7(a1,a919,a913),f334(f334(f8(a919,f926(a919,a913),a1),f249(a919)),a117)),x101452))))
% 164.74/165.08 [10175]~P107(f334(f334(f248(a919),f334(a125,x101752)),f334(f116(a919),x101751)))+P107(f334(f334(f95(a1,a913),f334(f116(a1),f334(f334(f89(a1),x101751),a110))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a337),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f8(a919,a913,a1),f334(f248(a919),x101752)),a117)))))
% 164.74/165.08 [10176]~P107(f334(f334(f249(a919),f334(a125,x101762)),f334(f116(a919),x101761)))+P107(f334(f334(f95(a1,a913),f334(f116(a1),f334(f334(f89(a1),x101761),a110))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a337),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f8(a919,a913,a1),f334(f249(a919),x101762)),a117)))))
% 164.74/165.08 [10218]P107(f334(f334(f248(a919),f334(a125,x102181)),f334(f116(a919),x102182)))+~P107(f334(f334(f95(a1,a913),f334(f116(a1),f334(f334(f89(a1),x102182),a110))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a337),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f8(a919,a913,a1),f334(f248(a919),x102181)),a117)))))
% 164.74/165.08 [10219]P107(f334(f334(f249(a919),f334(a125,x102191)),f334(f116(a919),x102192)))+~P107(f334(f334(f95(a1,a913),f334(f116(a1),f334(f334(f89(a1),x102192),a110))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a337),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f8(a919,a913,a1),f334(f249(a919),x102191)),a117)))))
% 164.74/165.08 [10296]~P107(f334(f334(f336(a919),f2(a919)),x102961))+E(f334(a125,f334(f44(a919),f334(f254(a919),f334(f334(f18(a919,a913,a913),f334(f334(f8(a913,f926(a913,a913),a919),a333),f334(f334(f7(a919,f926(a919,a913),a913),f334(f334(f8(a919,f926(f926(a919,a913),a913),a919),f336(a919)),a125)),x102961))),f334(f334(f7(a919,a919,a913),f249(a919)),x102962))))),f334(f44(a919),f334(f254(a919),f334(f334(f18(a919,a913,a913),f334(f334(f8(a913,f926(a913,a913),a919),a333),f334(f334(f7(a919,f926(a919,a913),a913),f336(a919)),x102961))),f334(f334(f7(a919,a919,a913),f249(a919)),f334(a125,x102962))))))
% 164.74/165.08 [8667]~P97(x86671)+E(f334(f334(f90(x86671),f334(f116(x86671),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),x86672),x86672)
% 164.74/165.08 [8729]~P97(x87291)+E(f334(f334(f89(x87291),f87(x87291)),f334(f116(x87291),x87292)),f334(f116(x87291),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),x87292)))
% 164.74/165.08 [8793]~P97(x87931)+E(f334(f334(f23(x87931),f334(f116(x87931),x87932)),f87(x87931)),f334(f116(x87931),f334(f334(f89(a1),x87932),f334(f88(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))
% 164.74/165.08 [8944]~P107(f334(f334(f249(a919),f334(f116(a919),a92)),x89442))+E(f334(f334(f23(a919),x89441),f334(f334(f23(a919),x89442),f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f334(f334(f23(a919),f334(a125,x89441)),x89442))
% 164.74/165.08 [9609]~P119(x96091)+E(f334(f334(f90(x96091),x96092),x96092),f334(f334(f258(x96091),x96092),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))
% 164.74/165.08 [9610]~P81(x96101)+E(f334(f334(f258(x96101),x96102),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f334(f334(f90(x96101),x96102),x96102))
% 164.74/165.08 [9612]~P97(x96121)+E(f334(f334(f90(x96121),x96122),f334(f116(x96121),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f334(f334(f89(x96121),x96122),x96122))
% 164.74/165.08 [9864]~P142(x98641)+E(f334(f334(f258(x98641),f334(f88(x98641),x98642)),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f334(f334(f258(x98641),x98642),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))
% 164.74/165.08 [9865]~P122(x98651)+E(f334(f334(f258(x98651),f334(f84(x98651),x98652)),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f334(f334(f258(x98651),x98652),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))
% 164.74/165.08 [9861]~P97(x98611)+E(f334(f334(f90(x98611),f334(f116(x98611),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x98612),f334(f334(f89(x98611),x98612),x98612))
% 164.74/165.08 [9984]~P122(x99841)+E(f334(f84(x99841),f334(f334(f258(x99841),x99842),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f334(f258(x99841),x99842),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))
% 164.74/165.08 [10048]~P122(x100481)+P107(f334(f334(f248(x100481),f2(x100481)),f334(f334(f258(x100481),x100482),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))))
% 164.74/165.08 [10209]~E(f334(a125,x102092),f334(f116(a919),x102091))+P107(f334(f334(f95(a1,a913),f334(f116(a1),f334(f334(f89(a1),x102091),a110))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a337),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f7(a1,a919,a913),f334(f334(f8(a919,f926(a919,a913),a1),a331),a117)),x102092)))))
% 164.74/165.08 [10210]~E(f334(f116(a919),x102101),f334(a125,x102102))+P107(f334(f334(f95(a1,a913),f334(f116(a1),f334(f334(f89(a1),x102101),a110))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a337),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f7(a1,a919,a913),f334(f334(f8(a919,f926(a919,a913),a1),a331),a117)),x102102)))))
% 164.74/165.08 [10255]E(f334(a125,x102551),f334(f116(a919),x102552))+~P107(f334(f334(f95(a1,a913),f334(f116(a1),f334(f334(f89(a1),x102552),a110))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a337),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f7(a1,a919,a913),f334(f334(f8(a919,f926(a919,a913),a1),a331),a117)),x102551)))))
% 164.74/165.08 [10256]E(f334(f116(a919),x102561),f334(a125,x102562))+~P107(f334(f334(f95(a1,a913),f334(f116(a1),f334(f334(f89(a1),x102561),a110))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a337),f334(f334(f8(a913,a913,a1),a329),a203))),f334(f334(f7(a1,a919,a913),f334(f334(f8(a919,f926(a919,a913),a1),a331),a117)),x102562)))))
% 164.74/165.08 [10044]~P97(x100441)+E(f334(f334(f258(x100441),f334(f116(x100441),a110)),f334(f334(f90(a919),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x100442)),f87(x100441))
% 164.74/165.08 [10045]~P142(x100451)+E(f334(f334(f258(x100451),f334(f88(x100451),f87(x100451))),f334(f334(f90(a919),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x100452)),f87(x100451))
% 164.74/165.08 [10050]~P81(x100501)+E(f334(f334(f258(x100501),x100502),f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),a110))),f334(f334(f90(x100501),f334(f334(f90(x100501),x100502),x100502)),x100502))
% 164.74/165.08 [10234]~P107(f334(f334(f248(a1),f2(a1)),x102342))+E(f54(a1,f334(f334(f89(a1),f87(a1)),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x102341)),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x102342)),f334(f334(f89(a1),f87(a1)),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f54(a1,x102341,x102342))))
% 164.74/165.08 [10258]~P107(f334(f334(f248(a1),f2(a1)),x102582))+E(f334(f334(f45(a1),f334(f334(f89(a1),f87(a1)),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x102581))),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x102582)),f334(f334(f45(a1),x102581),x102582))
% 164.74/165.08 [10260]~P107(f334(f334(f248(a1),x102602),f2(a1)))+E(f334(f334(f45(a1),f334(f334(f89(a1),f87(a1)),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x102601))),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x102602)),f334(f334(f45(a1),f334(f334(f89(a1),x102601),f87(a1))),x102602))
% 164.74/165.08 [10261]~P107(f334(f334(f248(a1),x102612),f2(a1)))+E(f54(a1,f334(f334(f89(a1),f87(a1)),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x102611)),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x102612)),f334(f334(f23(a1),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f54(a1,f334(f334(f89(a1),x102611),f87(a1)),x102612))),f87(a1)))
% 164.74/165.08 [10135]~P97(x101351)+E(f334(f334(f258(x101351),f334(f116(x101351),a110)),f334(a125,f334(f334(f90(a919),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x101352))),f334(f116(x101351),a110))
% 164.74/165.08 [10137]~P142(x101371)+E(f334(f334(f258(x101371),f334(f88(x101371),f87(x101371))),f334(a125,f334(f334(f90(a919),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x101372))),f334(f88(x101371),f87(x101371)))
% 164.74/165.08 [5269]~P22(x52691,x52692,x52693)+P28(x52691,x52692,x52693)
% 164.74/165.08 [8185]~E(x81852,x81853)+P35(x81851,x81851,a331,x81852,x81853)
% 164.74/165.08 [8742]E(x87421,x87422)+~P35(x87423,x87423,a331,x87421,x87422)
% 164.74/165.08 [4915]E(f179(x49151,x49152,x49153),f126(x49151))+~E(x49152,f2(a919))
% 164.74/165.08 [5080]~E(f179(x50802,x50801,x50803),f126(x50802))+E(x50801,f2(a919))
% 164.74/165.08 [5273]~P38(x52731,x52733)+P38(x52731,f328(x52731,x52732,x52733))
% 164.74/165.08 [5387]~P31(x53871,x53872,x53873)+P32(a1,x53871,f188(x53872,x53873))
% 164.74/165.08 [5444]P29(x54441,x54442,x54443)+~P29(x54441,f334(a125,x54442),x54443)
% 164.74/165.08 [5462]P31(x54621,x54622,x54623)+~P32(a1,x54621,f188(x54622,x54623))
% 164.74/165.08 [5527]~P6(x55271,x55272,x55273)+P6(f920(x55271),f171(x55271,x55272),f168(x55271,x55273))
% 164.74/165.08 [5528]~P41(x55281,x55282,x55283)+P41(f920(x55281),f171(x55281,x55282),f168(x55281,x55283))
% 164.74/165.08 [5636]P55(x56361,x56362,x56363)+~E(f340(x56363,x56362,x56361),f341(x56363,x56362,x56361))
% 164.74/165.08 [5637]P54(x56371,x56372,x56373)+~E(f639(x56373,x56372,x56371),f640(x56373,x56372,x56371))
% 164.74/165.08 [6578]P28(x65781,x65782,x65783)+~P29(x65781,f612(x65783,x65782,x65781),f625(x65783,x65782,x65781))
% 164.74/165.08 [8191]~E(x81912,x81913)+P24(x81911,x81911,f25(x81911),x81912,x81913)
% 164.74/165.08 [8750]E(x87501,x87502)+~P24(x87503,x87503,f25(x87503),x87501,x87502)
% 164.74/165.08 [4874]~E(f334(f178(x48742),x48741),x48743)+E(x48741,f334(f178(x48742),x48743))
% 164.74/165.08 [4875]~E(x48752,f334(f178(x48751),x48753))+E(f334(f178(x48751),x48752),x48753)
% 164.74/165.08 [4921]E(x49211,x49212)+~E(f334(f178(x49213),x49211),f334(f178(x49213),x49212))
% 164.74/165.08 [5126]~P5(x51263,x51261)+P107(f334(f334(x51261,x51262),x51262))
% 164.74/165.08 [5127]~P45(x51273,x51271)+P107(f334(f334(x51271,x51272),x51272))
% 164.74/165.08 [5129]~P59(x51291,x51292)+P107(f334(f322(x51291,x51292),x51293))
% 164.74/165.08 [5190]~P38(x51901,x51902)+P38(f920(x51901),f334(f153(x51901,x51902),x51903))
% 164.74/165.08 [5195]~P107(f334(x51952,x51953))+~E(f334(f254(x51951),x51952),f198(f926(x51951,a913)))
% 164.74/165.08 [5196]~P107(f334(x51962,x51963))+~E(f198(f926(x51961,a913)),f334(f254(x51961),x51962))
% 164.74/165.08 [5210]E(x52101,f2(a919))+E(f154(x52102,f179(x52102,x52101,x52103)),x52103)
% 164.74/165.08 [5228]~P107(f334(x52281,x52283))+P107(f334(x52281,f99(x52282,x52281)))
% 164.74/165.08 [5229]~P107(f334(x52291,x52293))+P107(f334(x52291,f796(x52291,x52292)))
% 164.74/165.08 [5241]E(x52411,f2(a919))+E(f334(f151(x52412),f179(x52412,x52411,x52413)),x52413)
% 164.74/165.08 [5352]~E(x53522,x53523)+P107(f334(f334(f336(x53521),x53522),f334(a331,x53523)))
% 164.74/165.08 [5365]P107(f334(x53651,x53652))+~P107(f334(x53651,f867(x53651,x53653)))
% 164.74/165.08 [5366]~E(x53662,f2(a919))+E(f334(f182(x53661),f179(x53661,x53662,x53663)),f198(f926(x53661,a913)))
% 164.74/165.08 [5411]E(f334(f178(x54111),x54112),f334(f334(f161(x54111),x54113),f126(x54111)))+~E(x54112,f334(f334(f161(x54111),x54113),f126(x54111)))
% 164.74/165.08 [5412]~E(x54123,f334(f334(f161(x54121),x54122),f126(x54121)))+E(f334(f334(f161(x54121),x54122),f126(x54121)),f334(f178(x54121),x54123))
% 164.74/165.08 [5458]~P34(x54581,x54582,x54583)+P34(x54581,x54582,f334(f178(x54581),x54583))
% 164.74/165.08 [5459]~P32(x54591,x54592,x54593)+P32(x54591,x54592,f334(f178(x54591),x54593))
% 164.74/165.08 [5463]E(f334(f44(x54631),f450(x54632,x54633,x54631)),x54632)+~E(f334(f44(x54631),x54633),f334(a125,x54632))
% 164.74/165.08 [5469]~P38(x54691,x54693)+P107(f334(f334(f336(x54691),x54692),f323(x54691,x54693)))
% 164.74/165.08 [5473]~E(f334(f178(x54732),x54731),f334(f334(f161(x54732),x54733),f126(x54732)))+E(x54731,f334(f334(f161(x54732),x54733),f126(x54732)))
% 164.74/165.08 [5474]~E(f334(f334(f161(x54742),x54743),f126(x54742)),f334(f178(x54742),x54741))+E(x54741,f334(f334(f161(x54742),x54743),f126(x54742)))
% 164.74/165.08 [5493]E(f94(f925(a919,a919),f57(x54931,x54932)),x54933)+~P107(f334(f57(x54931,x54932),x54933))
% 164.74/165.08 [5531]P34(x55311,x55312,x55313)+~P34(x55311,x55312,f334(f178(x55311),x55313))
% 164.74/165.08 [5532]P32(x55321,x55322,x55323)+~P32(x55321,x55322,f334(f178(x55321),x55323))
% 164.74/165.08 [5591]~E(x55912,f126(x55911))+P107(f334(f334(f336(f920(x55911)),x55912),f171(x55911,x55913)))
% 164.74/165.08 [5599]~P55(x55991,x55992,x55993)+P55(x55991,x55992,f334(f294(x55991,x55991),x55993))
% 164.74/165.08 [5600]~P41(x56001,x56002,x56003)+P41(x56001,x56002,f334(f294(x56001,x56001),x56003))
% 164.74/165.08 [5617]~P60(x56171)+E(f54(x56171,f54(x56171,x56172,x56173),x56173),f54(x56171,x56172,x56173))
% 164.74/165.08 [5714]E(x57141,x57142)+~P107(f334(f334(f336(x57143),x57141),f334(a331,x57142)))
% 164.74/165.08 [5760]~P146(x57601)+E(f200(x57601,x57602,f2(a919),x57603),x57603)
% 164.74/165.08 [5780]P55(x57801,x57802,x57803)+~P55(x57801,x57802,f334(f294(x57801,x57801),x57803))
% 164.74/165.08 [5781]P41(x57811,x57812,x57813)+~P41(x57811,x57812,f334(f294(x57811,x57811),x57813))
% 164.74/165.08 [5785]~P110(x57852)+E(f160(x57851,x57852,x57853,f126(x57851)),f126(x57851))
% 164.74/165.08 [5797]E(f180(x57971,x57972,f162(x57971,x57973)),f162(x57971,f180(x57971,x57972,x57973)))+~P107(f334(f147(x57971),x57973))
% 164.74/165.08 [5888]~P107(f334(a27,x58883))+P107(f334(a27,f30(x58881,x58882,x58883)))
% 164.74/165.08 [5899]E(f334(f146(x58991,x58992),x58993),f126(x58991))+P107(f334(x58992,f759(x58993,x58992,x58991)))
% 164.74/165.08 [5957]E(f77(x59571,x59572,x59573),x59572)+P107(f334(x59573,f797(x59572,x59571,x59573)))
% 164.74/165.08 [6044]~P107(f334(f147(x60441),x60442))+P107(f334(f147(x60441),f186(x60441,x60442,x60443)))
% 164.74/165.08 [6045]~P107(f334(f147(x60451),x60453))+P107(f334(f147(x60451),f180(x60451,x60452,x60453)))
% 164.74/165.08 [6046]~P107(f334(f147(x60461),x60463))+P107(f334(f147(x60461),f187(x60461,x60462,x60463)))
% 164.74/165.08 [6047]~P107(f334(f147(x60471),x60473))+P107(f334(f147(x60471),f150(x60471,x60472,x60473)))
% 164.74/165.08 [6048]~P147(x60481,x60482,x60483)+P107(f334(x60481,f54(a1,x60482,x60483)))
% 164.74/165.08 [6066]~P34(x60663,x60661,x60662)+P107(f334(x60661,f798(x60662,x60661,x60663)))
% 164.74/165.08 [6067]~P36(x60673,x60671,x60672)+P107(f334(x60671,f813(x60672,x60671,x60673)))
% 164.74/165.08 [6068]~P36(x60683,x60681,x60682)+P107(f334(x60681,f825(x60682,x60681,x60683)))
% 164.74/165.08 [6069]~P34(x60693,x60691,x60692)+P107(f334(x60691,f852(x60692,x60691,x60693)))
% 164.74/165.08 [6070]~P34(x60703,x60701,x60702)+P107(f334(x60701,f854(x60701,x60702,x60703)))
% 164.74/165.08 [6089]E(f334(f146(x60891,x60892),x60893),f187(x60891,x60892,x60893))+P107(f334(x60892,f783(x60893,x60892,x60891)))
% 164.74/165.08 [6131]~P107(f334(f147(x61311),x61313))+P107(f334(f147(f920(x61311)),f64(x61311,x61312,x61313)))
% 164.74/165.08 [6165]~P111(x61651)+E(f334(f334(f114(f926(x61651,a913)),f334(f290(x61651),x61652)),f310(x61651,x61652,x61653)),f198(f926(x61651,a913)))
% 164.74/165.08 [6166]~P111(x61661)+E(f334(f334(f114(f926(x61661,a913)),f334(f308(x61661),x61662)),f313(x61661,x61662,x61663)),f198(f926(x61661,a913)))
% 164.74/165.08 [6167]~P111(x61671)+E(f334(f334(f114(f926(x61671,a913)),f334(f308(x61671),x61672)),f312(x61671,x61672,x61673)),f198(f926(x61671,a913)))
% 164.74/165.08 [6318]P107(f334(a27,x63181))+~P107(f334(a27,f30(x63182,x63183,x63181)))
% 164.74/165.08 [6320]P107(f334(a27,x63201))+~P107(f334(a27,f31(x63202,x63203,x63201)))
% 164.74/165.08 [6322]P107(f334(a27,x63221))+~P107(f334(a27,f31(x63222,x63221,x63223)))
% 164.74/165.08 [6398]E(f334(f146(x63981,x63982),x63983),x63983)+~P107(f334(x63982,f766(x63983,x63982,x63981)))
% 164.74/165.08 [6400]E(f334(f334(f316(x64001),f464(x64002,x64003,x64001)),f450(x64002,x64003,x64001)),x64003)+~E(f334(f44(x64001),x64003),f334(a125,x64002))
% 164.74/165.08 [6416]P147(x64161,x64162,x64163)+~P107(f334(x64161,f54(a1,x64162,x64163)))
% 164.74/165.08 [6462]P32(x64621,x64622,x64623)+~P107(f334(x64622,f814(x64623,x64622,x64621)))
% 164.74/165.08 [6463]P32(x64631,x64632,x64633)+~P107(f334(x64632,f821(x64632,x64633,x64631)))
% 164.74/165.08 [6464]P32(x64641,x64642,x64643)+~P107(f334(x64642,f822(x64643,x64642,x64641)))
% 164.74/165.08 [6465]P31(x64651,x64652,x64653)+~P107(f334(x64651,f837(x64653,x64652,x64651)))
% 164.74/165.08 [6467]E(f187(x64671,x64672,x64673),x64673)+~P107(f334(x64672,f777(x64673,x64672,x64671)))
% 164.74/165.08 [6546]~P107(f334(x65462,f770(x65463,x65462,x65461)))+P107(f334(f261(x65461,x65462),x65463))
% 164.74/165.08 [6547]~P107(f334(x65472,f749(x65473,x65472,x65471)))+P107(f334(f170(x65471,x65472),x65473))
% 164.74/165.08 [6796]~P107(f334(f322(x67961,x67962),f508(x67963,x67962,x67961)))+P107(f334(f322(x67961,x67962),x67963))
% 164.74/165.08 [6797]~P107(f334(f322(x67971,x67972),f519(x67973,x67972,x67971)))+P107(f334(f322(x67971,x67972),x67973))
% 164.74/165.08 [7403]~P60(x74031)+E(f334(f334(f89(x74031),f334(f334(f90(x74031),x74032),f334(f334(f45(x74031),x74033),x74032))),f54(x74031,x74033,x74032)),x74033)
% 164.74/165.08 [7432]P31(x74321,x74322,x74323)+P107(f334(f334(f336(a1),f837(x74323,x74322,x74321)),f310(a1,x74322,x74323)))
% 164.74/165.08 [7860]E(f334(f334(f266(x78601,x78601),f342(x78602,x78603,x78601)),f342(x78602,x78603,x78601)),x78603)+~P107(f334(f334(f336(f925(x78601,x78601)),x78603),f255(x78601,x78602)))
% 164.74/165.08 [7978]~P107(f334(f334(f336(x79781),f613(x79783,x79782,x79781)),f323(x79781,x79783)))+P107(f334(f334(f336(x79781),x79782),f323(x79781,x79783)))
% 164.74/165.08 [7979]~P107(f334(f334(f336(x79791),f642(x79793,x79792,x79791)),f323(x79791,x79793)))+P107(f334(f334(f336(x79791),x79792),f323(x79791,x79793)))
% 164.74/165.08 [7980]~P107(f334(f334(f336(x79801),f645(x79803,x79802,x79801)),f323(x79801,x79803)))+P107(f334(f334(f336(x79801),x79802),f323(x79801,x79803)))
% 164.74/165.08 [8073]P34(a1,x80731,f188(x80732,x80733))+P31(f334(f81(a913,a913,a1,a329),x80731),x80732,x80733)
% 164.74/165.08 [8166]~P60(x81661)+E(f334(f334(f89(x81661),f334(f334(f90(x81661),f334(f334(f45(x81661),x81662),x81663)),x81663)),f54(x81661,x81662,x81663)),x81662)
% 164.74/165.08 [8212]~E(f334(f44(x82121),x82122),f334(a125,x82123))+~P107(f334(f334(f336(x82121),f464(x82123,x82122,x82121)),f450(x82123,x82122,x82121)))
% 164.74/165.08 [8659]~P34(a1,x86591,f188(x86592,x86593))+~P31(f334(f81(a913,a913,a1,a329),x86591),x86592,x86593)
% 164.74/165.08 [8848]P107(f334(f334(f248(f926(f925(x88481,x88481),a913)),f314(x88481,x88482)),f314(x88481,x88483)))+~P107(f334(f334(f248(f926(f925(x88481,x88481),a913)),x88482),f314(x88481,x88483)))
% 164.74/165.08 [9137]E(x91371,f126(x91372))+~P107(f334(f334(f336(f925(f920(x91372),f920(x91372))),f334(f334(f266(f920(x91372),f920(x91372)),x91371),f126(x91372))),f168(x91372,x91373)))
% 164.74/165.08 [9163]E(x91631,f126(x91632))+~P107(f334(f334(f336(f925(f920(x91632),f920(x91632))),f334(f334(f266(f920(x91632),f920(x91632)),f126(x91632)),x91631)),f168(x91632,x91633)))
% 164.74/165.08 [9293]E(f334(f334(f161(x92931),f752(x92932,x92933,x92931)),f753(x92932,x92933,x92931)),x92933)+~P107(f334(f334(f336(f925(f920(x92931),f920(x92931))),f334(f334(f266(f920(x92931),f920(x92931)),f126(x92931)),x92933)),f157(x92931,x92932)))
% 164.74/165.08 [9533]~P126(x95331)+~P107(f334(f334(f249(x95331),f334(f334(f89(x95331),f334(f334(f90(x95331),x95332),x95332)),f334(f334(f90(x95331),x95333),x95333))),f2(x95331)))
% 164.74/165.08 [9584]P107(f334(f70(x95841),x95842))+~P107(f334(f334(f336(f925(f926(x95841,a913),f926(x95841,a913))),f334(f334(f266(f926(x95841,a913),f926(x95841,a913)),x95843),x95842)),f321(x95841)))
% 164.74/165.08 [9888]~P49(x98881,x98882,x98883)+P107(f334(f334(f248(a1),f334(f334(f81(f925(a1,a1),a1,x98881,f265(a1,a1)),f226(x98881)),f244(x98881,x98882,f241(x98881,x98883)))),f2(a1)))
% 164.74/165.08 [9889]~P50(x98891,x98892,x98893)+P107(f334(f334(f249(a1),f334(f334(f81(f925(a1,a1),a1,x98891,f265(a1,a1)),f226(x98891)),f244(x98891,x98892,f241(x98891,x98893)))),f2(a1)))
% 164.74/165.08 [10013]P50(x100131,x100132,x100133)+~P107(f334(f334(f249(a1),f334(f334(f81(f925(a1,a1),a1,x100131,f265(a1,a1)),f226(x100131)),f244(x100131,x100132,f241(x100131,x100133)))),f2(a1)))
% 164.74/165.08 [10014]P49(x100141,x100142,x100143)+~P107(f334(f334(f248(a1),f334(f334(f81(f925(a1,a1),a1,x100141,f265(a1,a1)),f226(x100141)),f244(x100141,x100142,f241(x100141,x100143)))),f2(a1)))
% 164.74/165.08 [10352]~P122(x103521)+~P107(f334(f334(f249(x103521),f334(f334(f89(x103521),f334(f334(f258(x103521),x103522),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f334(f258(x103521),x103523),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))),f2(x103521)))
% 164.74/165.08 [4903]~E(x49033,f126(x49031))+E(f334(f334(f144(x49031),x49032),x49033),x49032)
% 164.74/165.08 [4904]~E(x49042,f126(x49041))+E(f334(f334(f144(x49041),x49042),x49043),x49043)
% 164.74/165.08 [4910]~E(x49102,f2(a919))+E(f334(f334(f185(x49101),x49102),x49103),f126(x49101))
% 164.74/165.08 [4916]~E(x49163,f126(x49161))+E(f334(f334(f185(x49161),x49162),x49163),f126(x49161))
% 164.74/165.08 [4955]~E(x49551,x49553)+E(x49551,f334(f334(f144(x49552),f126(x49552)),x49553))
% 164.74/165.08 [5043]~P1(x50432)+E(f334(f198(f926(x50431,x50432)),x50433),f198(x50432))
% 164.74/165.08 [5044]~P112(x50442)+E(f334(f256(f926(x50441,x50442)),x50443),f256(x50442))
% 164.74/165.08 [5062]E(x50621,f126(x50622))+~E(f334(f334(f144(x50622),x50623),x50621),x50623)
% 164.74/165.08 [5063]E(x50631,f126(x50632))+~E(f334(f334(f144(x50632),x50631),x50633),x50633)
% 164.74/165.08 [5071]E(x50711,f126(x50712))+~E(f334(f334(f144(x50712),x50713),x50711),f126(x50712))
% 164.74/165.08 [5072]E(x50721,f126(x50722))+~E(f334(f334(f144(x50722),x50721),x50723),f126(x50722))
% 164.74/165.08 [5097]~E(x50972,f2(a919))+E(f334(f334(f90(a919),x50971),x50972),f334(f334(f90(a919),x50973),x50972))
% 164.74/165.08 [5099]~E(x50991,f2(a919))+E(f334(f334(f90(a919),x50991),x50992),f334(f334(f90(a919),x50991),x50993))
% 164.74/165.08 [5151]~P83(x51511)+E(f334(f334(f123(x51511),x51512),x51513),f334(f334(f123(x51511),x51513),x51512))
% 164.74/165.08 [5153]~P102(x51531)+E(f334(f334(f123(x51531),x51532),x51533),f334(f334(f123(x51531),x51533),x51532))
% 164.74/165.08 [5154]~P83(x51541)+E(f334(f334(f114(x51541),x51542),x51543),f334(f334(f114(x51541),x51543),x51542))
% 164.74/165.08 [5156]~P103(x51561)+E(f334(f334(f114(x51561),x51562),x51563),f334(f334(f114(x51561),x51563),x51562))
% 164.74/165.08 [5157]~P119(x51571)+E(f334(f334(f90(x51571),x51572),x51573),f334(f334(f90(x51571),x51573),x51572))
% 164.74/165.08 [5158]~P119(x51581)+E(f334(f334(f89(x51581),x51582),x51583),f334(f334(f89(x51581),x51583),x51582))
% 164.74/165.08 [5160]~P110(x51601)+E(f334(f334(f246(x51601),x51602),x51603),f334(f334(f246(x51601),x51603),x51602))
% 164.74/165.08 [5162]~P110(x51621)+E(f334(f334(f247(x51621),x51622),x51623),f334(f334(f247(x51621),x51623),x51622))
% 164.74/165.08 [5223]E(f54(a919,x52231,x52232),f2(a919))+~E(x52231,f334(f334(f90(a919),x52232),x52233))
% 164.74/165.08 [5224]E(f54(a1,x52241,x52242),f2(a1))+~E(x52241,f334(f334(f90(a1),x52242),x52243))
% 164.74/165.08 [5285]E(x52851,x52852)+~E(f334(f334(f89(a919),x52853),x52851),f334(f334(f89(a919),x52853),x52852))
% 164.74/165.08 [5286]E(x52861,x52862)+~E(f334(f334(f89(a919),x52861),x52863),f334(f334(f89(a919),x52862),x52863))
% 164.74/165.08 [5296]~P86(x52961)+E(f334(f334(f114(x52961),x52962),f334(f88(x52961),x52963)),f334(f334(f23(x52961),x52962),x52963))
% 164.74/165.08 [5297]~P63(x52971)+E(f334(f334(f89(x52971),x52972),f334(f88(x52971),x52973)),f334(f334(f23(x52971),x52972),x52973))
% 164.74/165.08 [5298]~P71(x52981)+E(f334(f334(f89(x52981),x52982),f334(f88(x52981),x52983)),f334(f334(f23(x52981),x52982),x52983))
% 164.74/165.08 [5299]~P117(x52991)+E(f334(f334(f89(x52991),x52992),f334(f88(x52991),x52993)),f334(f334(f23(x52991),x52992),x52993))
% 164.74/165.08 [5300]~P71(x53001)+E(f334(f334(f23(x53001),x53002),f334(f88(x53001),x53003)),f334(f334(f89(x53001),x53002),x53003))
% 164.74/165.08 [5346]~P107(f334(x53463,x53462))+P107(f334(f334(f336(x53461),x53462),x53463))
% 164.74/165.08 [5348]~P72(x53482)+E(f334(f334(f6(x53481,x53482),x53483),f198(f926(x53481,a913))),f2(x53482))
% 164.74/165.08 [5350]~P76(x53502)+E(f334(f334(f9(x53501,x53502),x53503),f198(f926(x53501,a913))),f87(x53502))
% 164.74/165.08 [5401]~E(x54012,f334(f334(f89(a919),x54011),x54013))+P107(f334(f334(f248(a919),x54011),x54012))
% 164.74/165.08 [5404]~E(x54042,f198(f926(x54041,a913)))+E(f334(f334(f69(x54041),x54042),x54043),f198(f926(f926(x54041,a913),a913)))
% 164.74/165.08 [5405]~E(x54052,f198(f926(x54051,a913)))+E(f198(f926(f926(x54051,a913),a913)),f334(f334(f69(x54051),x54052),x54053))
% 164.74/165.08 [5477]~E(f334(f292(x54772,x54773),x54771),f198(f926(x54773,a913)))+E(x54771,f198(f926(f925(x54772,x54773),a913)))
% 164.74/165.08 [5478]~E(f334(f264(x54782,x54783),x54781),f198(f926(x54782,a913)))+E(x54781,f198(f926(f925(x54782,x54783),a913)))
% 164.74/165.08 [5506]E(f334(f292(x55061,x55062),x55063),f198(f926(x55062,a913)))+~E(x55063,f198(f926(f925(x55061,x55062),a913)))
% 164.74/165.08 [5507]E(f334(f264(x55071,x55072),x55073),f198(f926(x55071,a913)))+~E(x55073,f198(f926(f925(x55071,x55072),a913)))
% 164.74/165.08 [5510]E(f282(x55101,x55102,x55103),f334(f334(f23(a112),x55102),x55103))+P107(f334(f334(f249(a112),x55102),x55103))
% 164.74/165.08 [5525]P107(f334(x55251,x55252))+~P107(f334(f334(f336(x55253),x55252),x55251))
% 164.74/165.08 [5563]E(x55631,x55632)+~E(f334(f88(f926(x55633,a913)),x55631),f334(f88(f926(x55633,a913)),x55632))
% 164.74/165.08 [5572]~E(x55721,f198(f926(x55722,a913)))+~P107(f334(f334(f336(x55722),x55723),x55721))
% 164.74/165.08 [5601]~E(x56012,f334(f334(f89(a1),x56011),f334(f113(a1),x56013)))+P107(f334(f334(f248(a1),x56011),x56012))
% 164.74/165.08 [5615]E(f334(f334(f316(x56151),x56152),x56153),x56153)+~P107(f334(f334(f336(x56151),x56152),x56153))
% 164.74/165.08 [5626]E(x56261,f198(f926(x56262,a913)))+~E(f334(f334(f69(x56262),x56261),x56263),f198(f926(f926(x56262,a913),a913)))
% 164.74/165.08 [5627]E(x56271,f198(f926(x56272,a913)))+~E(f198(f926(f926(x56272,a913),a913)),f334(f334(f69(x56272),x56271),x56273))
% 164.74/165.08 [5633]~P113(x56331)+E(f334(f334(f90(x56331),f334(f88(x56331),x56332)),f334(f88(x56331),x56333)),f334(f334(f90(x56331),x56332),x56333))
% 164.74/165.08 [5635]~P65(x56351)+E(f334(f334(f297(x56351),f334(f88(x56351),x56352)),f334(f88(x56351),x56353)),f334(f334(f297(x56351),x56352),x56353))
% 164.74/165.08 [5667]~P107(f334(x56673,x56672))+P107(f334(f334(f336(x56671),x56672),f334(f254(x56671),x56673)))
% 164.74/165.08 [5688]E(x56881,f2(a919))+E(f334(f182(x56882),f179(x56882,x56881,x56883)),f334(f334(f316(x56882),x56883),f198(f926(x56882,a913))))
% 164.74/165.08 [5707]E(f180(x57071,x57072,x57073),x57073)+P107(f334(f334(f336(x57071),x57072),f334(f182(x57071),x57073)))
% 164.74/165.08 [5789]~P107(f334(f147(x57891),x57893))+P107(f334(f147(x57891),f334(f146(x57891,x57892),x57893)))
% 164.74/165.08 [5832]~P60(x58321)+E(f334(f334(f45(x58321),f54(x58321,x58322,x58323)),x58323),f2(x58321))
% 164.74/165.08 [5851]E(f186(x58511,f334(f334(f161(x58511),x58512),f126(x58511)),x58513),f126(x58511))+P107(f334(f334(f336(a919),f2(a919)),x58513))
% 164.74/165.08 [5857]E(x58571,f2(a919))+E(f334(f181(x58572),f179(x58572,x58571,x58573)),f179(x58572,f334(f334(f23(a919),x58571),f87(a919)),x58573))
% 164.74/165.08 [5909]E(f334(f334(f161(x59091),x59092),x59093),f150(x59091,x59092,x59093))+P107(f334(f334(f336(x59091),x59092),f334(f182(x59091),x59093)))
% 164.74/165.08 [5918]E(x59181,x59182)+~E(f334(f334(f90(a919),f334(a125,x59183)),x59181),f334(f334(f90(a919),f334(a125,x59183)),x59182))
% 164.74/165.08 [5919]~E(x59192,f334(f334(f89(a1),x59191),f334(f113(a1),f334(a125,x59193))))+P107(f334(f334(f249(a1),x59191),x59192))
% 164.74/165.08 [6026]~E(x60263,f126(x60261))+E(f334(f334(f334(f193(f920(x60261),f920(x60261)),x60262),f177(x60261)),x60263),f126(x60261))
% 164.74/165.08 [6030]P107(f334(x60301,x60302))+~P107(f334(f334(f336(x60303),x60302),f334(f254(x60303),x60301)))
% 164.74/165.08 [6061]E(x60611,x60612)+~E(f334(f334(f316(x60613),x60611),f198(f926(x60613,a913))),f334(f334(f316(x60613),x60612),f198(f926(x60613,a913))))
% 164.74/165.08 [6075]~P111(x60751)+E(f334(f334(f114(f926(x60751,a913)),f334(f290(x60751),x60752)),f334(f309(x60751,x60752),x60753)),f198(f926(x60751,a913)))
% 164.74/165.08 [6115]E(f150(x61151,x61152,x61153),x61153)+~P107(f334(f334(f336(x61151),x61152),f334(f182(x61151),x61153)))
% 164.74/165.08 [6139]~P79(x61391)+E(f334(f317(x61391,x61391,f88(x61391)),f334(f309(x61391,x61392),x61393)),f312(x61391,f334(f88(x61391),x61393),f334(f88(x61391),x61392)))
% 164.74/165.08 [6150]E(f334(f199(f920(x61501)),f180(x61501,x61502,x61503)),f334(f199(f920(x61501)),x61503))+P107(f334(f334(f336(x61501),x61502),f334(f182(x61501),x61503)))
% 164.74/165.08 [6203]~P111(x62031)+E(f334(f334(f114(f926(x62031,a913)),f334(f309(x62031,x62032),x62033)),f334(f291(x62031),x62033)),f198(f926(x62031,a913)))
% 164.74/165.08 [6223]~P79(x62231)+E(f334(f317(x62231,x62231,f88(x62231)),f313(x62231,x62232,x62233)),f313(x62231,f334(f88(x62231),x62233),f334(f88(x62231),x62232)))
% 164.74/165.08 [6224]~P79(x62241)+E(f334(f317(x62241,x62241,f88(x62241)),f310(x62241,x62242,x62243)),f310(x62241,f334(f88(x62241),x62243),f334(f88(x62241),x62242)))
% 164.74/165.08 [6286]E(f186(x62861,f334(f334(f161(x62861),x62862),f126(x62861)),x62863),f334(f334(f161(x62861),x62862),f126(x62861)))+~P107(f334(f334(f336(a919),f2(a919)),x62863))
% 164.74/165.08 [6293]~P79(x62931)+E(f334(f317(x62931,x62931,f88(x62931)),f312(x62931,x62932,x62933)),f334(f309(x62931,f334(f88(x62931),x62933)),f334(f88(x62931),x62932)))
% 164.74/165.08 [6313]~P61(x63131)+E(f54(x63131,f334(f88(x63131),f54(x63131,x63132,x63133)),x63133),f54(x63131,f334(f88(x63131),x63132),x63133))
% 164.74/165.08 [6413]~P107(f334(f70(f925(x64132,x64131)),x64133))+P107(f334(f70(x64131),f334(f292(x64132,x64131),x64133)))
% 164.74/165.08 [6414]~P107(f334(f70(f925(x64141,x64142)),x64143))+P107(f334(f70(x64141),f334(f264(x64141,x64142),x64143)))
% 164.74/165.08 [6420]~P111(x64201)+E(f334(f334(f114(f926(x64201,a913)),f313(x64201,x64202,x64203)),f334(f291(x64201),x64203)),f198(f926(x64201,a913)))
% 164.74/165.08 [6421]~P111(x64211)+E(f334(f334(f114(f926(x64211,a913)),f312(x64211,x64212,x64213)),f334(f311(x64211),x64213)),f198(f926(x64211,a913)))
% 164.74/165.08 [6422]~P111(x64221)+E(f334(f334(f114(f926(x64221,a913)),f310(x64221,x64222,x64223)),f334(f311(x64221),x64223)),f198(f926(x64221,a913)))
% 164.74/165.08 [6487]E(f334(f334(f174(x64871),x64872),f716(x64872,x64873,x64871)),x64873)+~P107(f334(f334(f336(x64871),x64873),f334(f182(x64871),x64872)))
% 164.74/165.08 [6630]E(x66301,f126(x66302))+~E(f334(f334(f334(f193(f920(x66302),f920(x66302)),x66303),f177(x66302)),x66301),f126(x66302))
% 164.74/165.08 [6735]~P107(f334(f70(f925(x67352,x67351)),x67353))+P107(f334(f70(f925(x67351,x67352)),f334(f294(x67352,x67351),x67353)))
% 164.74/165.08 [6883]P55(x68831,x68832,x68833)+P107(f334(f334(f336(x68831),f341(x68833,x68832,x68831)),x68832))
% 164.74/165.08 [6884]P55(x68841,x68842,x68843)+P107(f334(f334(f336(x68841),f340(x68843,x68842,x68841)),x68842))
% 164.74/165.08 [6895]P107(f334(f322(x68951,x68952),x68953))+P107(f334(f334(x68952,f508(x68953,x68952,x68951)),x68953))
% 164.74/165.08 [6896]P107(f334(f322(x68961,x68962),x68963))+P107(f334(f334(x68962,f519(x68963,x68962,x68961)),x68963))
% 164.74/165.08 [6926]E(f334(f199(f920(x69261)),f180(x69261,x69262,x69263)),f334(f334(f23(a919),f334(f199(f920(x69261)),x69263)),f87(a919)))+~P107(f334(f334(f336(x69261),x69262),f334(f182(x69261),x69263)))
% 164.74/165.08 [6966]P107(f334(f261(x69661,x69662),x69663))+P107(f334(f334(f336(x69661),f770(x69663,x69662,x69661)),x69663))
% 164.74/165.08 [6975]~P107(f334(f70(f925(x69752,x69751)),f334(f294(x69751,x69752),x69753)))+P107(f334(f70(f925(x69751,x69752)),x69753))
% 164.74/165.08 [7030]~P107(f334(f334(f336(x70301),x70302),f334(f182(x70301),f127(x70301,x70303))))+P107(f334(f334(f336(x70301),x70302),f334(f182(x70301),x70303)))
% 164.74/165.08 [7035]P28(x70351,x70352,x70353)+P107(f334(f334(f336(f918(x70351)),f625(x70353,x70352,x70351)),x70353))
% 164.74/165.08 [7065]E(f334(f146(x70651,x70652),x70653),x70653)+P107(f334(f334(f336(x70651),f766(x70653,x70652,x70651)),f334(f182(x70651),x70653)))
% 164.74/165.08 [7079]E(f334(f146(x70791,x70792),x70793),f126(x70791))+P107(f334(f334(f336(x70791),f759(x70793,x70792,x70791)),f334(f182(x70791),x70793)))
% 164.74/165.08 [7102]P32(x71021,x71022,x71023)+P107(f334(f334(f336(x71021),f814(x71023,x71022,x71021)),f334(f182(x71021),x71023)))
% 164.74/165.08 [7103]P32(x71031,x71032,x71033)+P107(f334(f334(f336(x71031),f822(x71033,x71032,x71031)),f334(f182(x71031),x71033)))
% 164.74/165.08 [7104]P32(x71041,x71042,x71043)+P107(f334(f334(f336(x71041),f821(x71042,x71043,x71041)),f334(f182(x71041),x71043)))
% 164.74/165.08 [7107]E(f187(x71071,x71072,x71073),x71073)+P107(f334(f334(f336(x71071),f777(x71073,x71072,x71071)),f334(f182(x71071),x71073)))
% 164.74/165.08 [7184]P107(f334(f170(x71841,x71842),x71843))+P107(f334(f334(f336(x71841),f749(x71843,x71842,x71841)),f334(f182(x71841),x71843)))
% 164.74/165.08 [7193]~P34(x71931,x71933,x71932)+P107(f334(f334(f336(x71931),f798(x71932,x71933,x71931)),f334(f182(x71931),x71932)))
% 164.74/165.08 [7194]~P36(x71941,x71943,x71942)+P107(f334(f334(f336(x71941),f813(x71942,x71943,x71941)),f334(f182(x71941),x71942)))
% 164.74/165.08 [7195]~P36(x71951,x71953,x71952)+P107(f334(f334(f336(x71951),f825(x71952,x71953,x71951)),f334(f182(x71951),x71952)))
% 164.74/165.08 [7196]~P34(x71961,x71963,x71962)+P107(f334(f334(f336(x71961),f852(x71962,x71963,x71961)),f334(f182(x71961),x71962)))
% 164.74/165.08 [7197]~P34(x71971,x71972,x71973)+P107(f334(f334(f336(x71971),f854(x71972,x71973,x71971)),f334(f182(x71971),x71973)))
% 164.74/165.08 [7231]P107(f334(f334(f336(x72311),x72312),f694(x72313,x72312,x72311)))+~P107(f334(f334(f336(x72311),x72312),f46(f926(x72311,a913),x72313)))
% 164.74/165.08 [7232]~P72(x72321)+E(f334(f334(f89(x72321),f334(f334(f6(a919,x72321),x72322),f334(f290(a919),x72323))),f334(x72322,x72323)),f334(f334(f6(a919,x72321),x72322),f334(f290(a919),f334(a125,x72323))))
% 164.74/165.08 [7322]~P34(x73222,x73221,x73223)+P107(f334(x73221,f334(f334(f174(x73222),x73223),f810(x73223,x73221,x73222))))
% 164.74/165.08 [7336]~P107(f334(f334(f336(x73361),x73362),f651(x73362,x73363,x73361)))+P107(f334(f334(f336(x73361),x73362),f47(f926(x73361,a913),x73363)))
% 164.74/165.08 [7367]~P72(x73671)+E(f334(f334(f89(x73671),f334(f334(f6(a919,x73671),x73672),f334(f308(a919),x73673))),f334(x73672,f334(a125,x73673))),f334(f334(f6(a919,x73671),x73672),f334(f308(a919),f334(a125,x73673))))
% 164.74/165.08 [7504]P107(f334(f334(f336(f920(x75041)),x75042),f171(x75041,x75043)))+P107(f334(f334(f336(x75041),f719(x75043,x75042,x75041)),f334(f182(x75041),x75042)))
% 164.74/165.08 [7519]~P107(f334(f334(f336(f920(x75191)),x75192),f171(x75191,f323(x75191,x75193))))+P107(f334(f334(f336(f920(x75191)),x75192),f323(f920(x75191),f167(x75191,x75193))))
% 164.74/165.08 [7544]~P107(f334(f334(f336(f920(x75441)),x75442),f323(f920(x75441),f167(x75441,x75443))))+P107(f334(f334(f336(f920(x75441)),x75442),f171(x75441,f323(x75441,x75443))))
% 164.74/165.08 [7577]E(f334(f334(f334(f193(f920(x75771),f920(x75771)),x75772),f177(x75771)),x75773),x75773)+~P107(f334(f334(f248(a919),f334(f199(f920(x75771)),x75773)),f87(a919)))
% 164.74/165.08 [7611]E(f334(f334(f144(x76111),f811(x76112,x76113,x76111)),f334(f334(f161(x76111),x76113),f812(x76112,x76113,x76111))),x76112)+~P107(f334(f334(f336(x76111),x76113),f334(f182(x76111),x76112)))
% 164.74/165.08 [7612]E(f334(f334(f144(x76121),f816(x76122,x76123,x76121)),f334(f334(f161(x76121),x76123),f817(x76122,x76123,x76121))),x76122)+~P107(f334(f334(f336(x76121),x76123),f334(f182(x76121),x76122)))
% 164.74/165.08 [7613]E(f334(f334(f144(x76131),f818(x76132,x76133,x76131)),f334(f334(f161(x76131),x76133),f820(x76132,x76133,x76131))),x76132)+~P107(f334(f334(f336(x76131),x76133),f334(f182(x76131),x76132)))
% 164.74/165.08 [7635]~P23(x76351,x76352,x76353,f256(f926(x76351,a913)))+P23(f920(x76351),f920(x76352),f334(f164(x76351,x76352),x76353),f256(f926(f920(x76351),a913)))
% 164.74/165.08 [7781]E(x77811,f334(f334(f89(a919),f334(f334(f90(a919),f334(f265(a919,a919),x77812)),x77813)),f334(f269(a919,a919),x77812)))+~P107(f334(f57(x77811,x77813),x77812))
% 164.74/165.08 [7789]P23(x77891,x77892,x77893,f256(f926(x77891,a913)))+~P23(f920(x77891),f920(x77892),f334(f164(x77891,x77892),x77893),f256(f926(f920(x77891),a913)))
% 164.74/165.08 [7828]~P107(f334(f334(f204(x78281),x78282),x78283))+P107(f334(f334(f334(f334(a206,x78281),x78282),f415(x78283,x78282,x78281)),x78283))
% 164.74/165.08 [7829]~P107(f334(f334(f204(x78291),x78292),x78293))+P107(f334(f334(f334(f334(a206,x78291),x78292),f594(x78293,x78292,x78291)),x78293))
% 164.74/165.08 [7834]P107(f334(f334(f336(f926(x78341,a913)),f651(x78342,x78343,x78341)),x78343))+P107(f334(f334(f336(x78341),x78342),f47(f926(x78341,a913),x78343)))
% 164.74/165.08 [7926]P107(f334(f334(f336(f920(x79261)),x79262),f171(x79261,x79263)))+~P107(f334(f334(f336(x79261),f719(x79263,x79262,x79261)),x79263))
% 164.74/165.08 [8027]P32(x80271,x80272,x80273)+~P107(f334(x80272,f334(f334(f174(x80271),x80273),f815(x80273,x80272,x80271))))
% 164.74/165.08 [8052]E(x80521,x80522)+~E(f334(f334(f7(x80523,f926(x80523,a913),a913),f336(x80523)),x80521),f334(f334(f7(x80523,f926(x80523,a913),a913),f336(x80523)),x80522))
% 164.74/165.08 [8060]~P107(f334(f334(f336(f925(x80601,x80601)),x80603),f255(x80601,x80602)))+P107(f334(f334(f336(x80601),f342(x80602,x80603,x80601)),x80602))
% 164.74/165.08 [8062]~P107(f334(f334(f336(x80621),x80623),f46(f926(x80621,a913),x80622)))+P107(f334(f334(f336(f926(x80621,a913)),f694(x80622,x80623,x80621)),x80622))
% 164.74/165.08 [8186]P23(x81861,x81862,f101(x81862,x81861,f256(f926(x81862,a913)),x81863),f256(f926(x81861,a913)))+~E(f334(f317(x81862,x81861,x81863),f256(f926(x81862,a913))),f256(f926(x81861,a913)))
% 164.74/165.08 [8242]~P107(f334(f334(f336(x82421),x82422),f334(f182(x82421),f816(x82423,x82422,x82421))))+~P107(f334(f334(f336(x82421),x82422),f334(f182(x82421),x82423)))
% 164.74/165.08 [8243]~P107(f334(f334(f336(x82431),x82432),f334(f182(x82431),f820(x82433,x82432,x82431))))+~P107(f334(f334(f336(x82431),x82432),f334(f182(x82431),x82433)))
% 164.74/165.08 [8428]E(x84281,f126(x84282))+P107(f334(f334(f336(x84282),f334(f265(x84282,f925(a112,a112)),f334(f283(x84282,x84281),x84283))),f334(f182(x84282),x84281)))
% 164.74/165.08 [8526]~P70(x85261)+E(f334(f152(x85261,x85261,f334(f7(x85261,x85261,x85261),f89(x85261)),x85262),f334(f178(x85261),x85263)),f334(f152(x85261,x85261,f89(x85261),x85262),x85263))
% 164.74/165.08 [8730]~P23(x87302,x87301,x87303,f256(f926(x87302,a913)))+E(f334(f317(x87301,x87302,f101(x87302,x87301,f256(f926(x87302,a913)),x87303)),f256(f926(x87301,a913))),f256(f926(x87302,a913)))
% 164.74/165.08 [9046]~P110(x90461)+E(f334(f182(x90461),f159(x90461,x90461,f5(x90461),x90462,x90463)),f334(f334(f316(x90461),x90462),f334(f182(x90461),x90463)))
% 164.74/165.08 [9057]~E(f334(x90573,f334(f101(x90571,x90572,f256(f926(x90571,a913)),x90573),f887(x90573,x90572,x90571))),f887(x90573,x90572,x90571))+E(f334(f317(x90571,x90572,x90573),f256(f926(x90571,a913))),f256(f926(x90572,a913)))
% 164.74/165.08 [9059]P107(f334(f334(f249(a919),f2(a919)),f656(x90591,x90592,x90593)))+~P107(f334(f334(f336(f925(x90593,x90593)),x90592),f334(f334(f296(x90593,x90593,x90593),x90591),f314(x90593,x90591))))
% 164.74/165.08 [9348]~P57(x93481,x93482)+~P107(f334(f334(f336(f925(x93481,x93481)),f334(f334(f266(x93481,x93481),x93483),x93483)),f334(f334(f296(x93481,x93481,x93481),x93482),f314(x93481,x93482))))
% 164.74/165.08 [9488]~E(f334(f334(f114(f926(f925(x94881,x94881),a913)),f334(f294(x94881,x94881),x94882)),f314(x94881,x94882)),f198(f926(f925(x94881,x94881),a913)))+~P107(f334(f334(f336(f925(x94881,x94881)),f334(f334(f266(x94881,x94881),x94883),x94883)),f334(f334(f296(x94881,x94881,x94881),x94882),f314(x94881,x94882))))
% 164.74/165.08 [9671]~P107(f334(f70(x96711),x96712))+P107(f334(f334(f248(a919),f334(f44(x96711),f334(f334(f23(f926(x96711,a913)),x96712),f334(f334(f316(x96711),x96713),f198(f926(x96711,a913)))))),f334(f44(x96711),x96712)))
% 164.74/165.08 [5212]~E(x52123,f126(x52121))+E(f154(x52121,f334(f334(f161(x52121),x52122),x52123)),x52122)
% 164.74/165.08 [5220]~E(x52203,f126(x52201))+E(f127(x52201,f334(f334(f161(x52201),x52202),x52203)),f126(x52201))
% 164.74/165.08 [5250]E(x52501,f126(x52502))+E(f154(x52502,f334(f334(f161(x52502),x52503),x52501)),f154(x52502,x52501))
% 164.74/165.08 [5252]E(x52521,f126(x52522))+E(f154(x52522,f334(f334(f144(x52522),x52523),x52521)),f154(x52522,x52521))
% 164.74/165.08 [5257]~E(x52573,f126(x52571))+E(f127(x52571,f334(f334(f144(x52571),x52572),x52573)),f127(x52571,x52572))
% 164.74/165.08 [5259]~E(x52593,f126(x52591))+E(f154(x52591,f334(f334(f144(x52591),x52592),x52593)),f154(x52591,x52592))
% 164.74/165.08 [5290]E(x52901,f126(x52902))+E(f334(f151(x52902),f334(f334(f144(x52902),x52901),x52903)),f334(f151(x52902),x52901))
% 164.74/165.08 [5320]~E(x53202,f126(x53201))+E(f334(f151(x53201),f334(f334(f144(x53201),x53202),x53203)),f334(f151(x53201),x53203))
% 164.74/165.08 [5376]~P83(x53761)+E(f334(f334(f123(x53761),x53762),f334(f334(f114(x53761),x53762),x53763)),x53762)
% 164.74/165.08 [5377]~P83(x53771)+E(f334(f334(f114(x53771),x53772),f334(f334(f123(x53771),x53772),x53773)),x53772)
% 164.74/165.08 [5378]~P110(x53781)+E(f334(f334(f246(x53781),x53782),f334(f334(f247(x53781),x53782),x53783)),x53782)
% 164.74/165.08 [5379]~P110(x53791)+E(f334(f334(f247(x53791),x53792),f334(f334(f246(x53791),x53792),x53793)),x53792)
% 164.74/165.08 [5399]~P60(x53991)+E(f54(x53991,f334(f334(f90(x53991),x53992),x53993),x53993),f2(x53991))
% 164.74/165.08 [5400]~P60(x54001)+E(f54(x54001,f334(f334(f90(x54001),x54002),x54003),x54002),f2(x54001))
% 164.74/165.08 [5472]~P63(x54721)+E(f334(f88(x54721),f334(f334(f23(x54721),x54722),x54723)),f334(f334(f23(x54721),x54723),x54722))
% 164.74/165.08 [5529]E(x55291,f126(x55292))+E(f127(x55292,f334(f334(f161(x55292),x55293),x55291)),f334(f334(f161(x55292),x55293),f127(x55292,x55291)))
% 164.74/165.08 [5530]E(x55301,f126(x55302))+E(f127(x55302,f334(f334(f144(x55302),x55303),x55301)),f334(f334(f144(x55302),x55303),f127(x55302,x55301)))
% 164.74/165.08 [5533]~P3(x55331)+E(f47(x55331,f334(f334(f316(x55331),x55332),x55333)),f334(f334(f114(x55331),x55332),f47(x55331,x55333)))
% 164.74/165.08 [5534]~P3(x55341)+E(f46(x55341,f334(f334(f316(x55341),x55342),x55343)),f334(f334(f123(x55341),x55342),f46(x55341,x55343)))
% 164.74/165.08 [5577]~P83(x55771)+E(f334(f334(f123(x55771),x55772),f334(f334(f123(x55771),x55772),x55773)),f334(f334(f123(x55771),x55772),x55773))
% 164.74/165.08 [5579]~P102(x55791)+E(f334(f334(f123(x55791),x55792),f334(f334(f123(x55791),x55792),x55793)),f334(f334(f123(x55791),x55792),x55793))
% 164.74/165.08 [5580]~P83(x55801)+E(f334(f334(f114(x55801),x55802),f334(f334(f114(x55801),x55802),x55803)),f334(f334(f114(x55801),x55802),x55803))
% 164.74/165.08 [5582]~P103(x55821)+E(f334(f334(f114(x55821),x55822),f334(f334(f114(x55821),x55822),x55823)),f334(f334(f114(x55821),x55822),x55823))
% 164.74/165.08 [5583]~P99(x55831)+E(f334(f334(f90(x55831),x55832),f334(f334(f90(x55831),x55832),x55833)),f334(f334(f90(x55831),x55832),x55833))
% 164.74/165.08 [5585]~P110(x55851)+E(f334(f334(f246(x55851),x55852),f334(f334(f246(x55851),x55852),x55853)),f334(f334(f246(x55851),x55852),x55853))
% 164.74/165.08 [5587]~P110(x55871)+E(f334(f334(f247(x55871),x55872),f334(f334(f247(x55871),x55872),x55873)),f334(f334(f247(x55871),x55872),x55873))
% 164.74/165.08 [5594]~P60(x55941)+E(f54(x55941,f334(f334(f89(x55941),x55942),x55943),x55943),f54(x55941,x55942,x55943))
% 164.74/165.08 [5595]~P60(x55951)+E(f54(x55951,f334(f334(f89(x55951),x55952),x55953),x55952),f54(x55951,x55953,x55952))
% 164.74/165.08 [5602]~P113(x56021)+E(f334(f334(f90(x56021),x56022),f334(f88(x56021),x56023)),f334(f88(x56021),f334(f334(f90(x56021),x56022),x56023)))
% 164.74/165.08 [5603]~P65(x56031)+E(f334(f334(f297(x56031),x56032),f334(f88(x56031),x56033)),f334(f88(x56031),f334(f334(f297(x56031),x56032),x56033)))
% 164.74/165.08 [5604]~P82(x56041)+E(f334(f334(f89(x56041),x56042),f334(f175(x56041),x56043)),f334(f175(x56041),f334(f334(f161(x56041),x56042),x56043)))
% 164.74/165.08 [5632]~P113(x56321)+E(f334(f334(f90(x56321),f334(f88(x56321),x56322)),x56323),f334(f334(f90(x56321),x56322),f334(f88(x56321),x56323)))
% 164.74/165.08 [5638]~P6(x56381,x56382,x56383)+E(f46(f926(x56381,a913),f334(f334(f69(x56381),x56382),x56383)),x56382)
% 164.74/165.08 [5699]~P118(x56991)+E(f334(f334(f90(x56991),x56992),f334(f334(f258(x56991),x56992),x56993)),f334(f334(f258(x56991),x56992),f334(a125,x56993)))
% 164.74/165.08 [5700]~P119(x57001)+E(f334(f334(f90(x57001),x57002),f334(f334(f258(x57001),x57002),x57003)),f334(f334(f258(x57001),x57002),f334(a125,x57003)))
% 164.74/165.08 [5710]~P71(x57101)+E(f334(f334(f89(x57101),f334(f88(x57101),x57102)),f334(f334(f89(x57101),x57102),x57103)),x57103)
% 164.74/165.08 [5733]~P146(x57331)+E(f334(f334(f258(x57331),f334(f113(x57331),x57332)),x57333),f334(f113(x57331),f334(f334(f258(a919),x57332),x57333)))
% 164.74/165.08 [5734]~P142(x57341)+E(f334(f334(f258(x57341),f334(f115(x57341),x57342)),x57343),f334(f115(x57341),f334(f334(f258(a1),x57342),x57343)))
% 164.74/165.08 [5740]~P91(x57401)+E(f334(f84(x57401),f334(f334(f23(x57401),x57402),x57403)),f334(f84(x57401),f334(f334(f23(x57401),x57403),x57402)))
% 164.74/165.08 [5742]~P122(x57421)+E(f334(f334(f90(x57421),f91(x57421,x57422)),f91(x57421,x57423)),f91(x57421,f334(f334(f90(x57421),x57422),x57423)))
% 164.74/165.08 [5746]E(x57461,f126(x57462))+E(f334(f334(f144(x57462),f334(f181(x57462),x57461)),x57463),f334(f181(x57462),f334(f334(f144(x57462),x57461),x57463)))
% 164.74/165.08 [5751]~E(x57512,f334(a125,f334(f334(f89(a919),x57511),x57513)))+P107(f334(f334(f249(a919),x57511),x57512))
% 164.74/165.08 [5752]~P113(x57521)+E(f334(f334(f90(x57521),f334(f88(x57521),x57522)),x57523),f334(f88(x57521),f334(f334(f90(x57521),x57522),x57523)))
% 164.74/165.08 [5753]~P120(x57531)+E(f334(f334(f297(x57531),f334(f88(x57531),x57532)),x57533),f334(f88(x57531),f334(f334(f297(x57531),x57532),x57533)))
% 164.74/165.08 [5754]~P122(x57541)+E(f334(f334(f258(x57541),f334(f84(x57541),x57542)),x57543),f334(f84(x57541),f334(f334(f258(x57541),x57542),x57543)))
% 164.74/165.08 [5850]E(f882(x58501,x58502,x58503),f900(x58501,x58502,x58503))+E(f334(f334(f114(f926(x58503,a913)),x58502),x58501),f198(f926(x58503,a913)))
% 164.74/165.08 [5865]~P72(x58652)+E(f334(f334(f6(x58651,x58652),f334(f16(x58652,x58651),f2(x58652))),x58653),f2(x58652))
% 164.74/165.08 [5866]~P76(x58662)+E(f334(f334(f9(x58661,x58662),f334(f16(x58662,x58661),f87(x58662))),x58663),f87(x58662))
% 164.74/165.08 [5868]~P146(x58681)+E(f334(f334(f90(x58681),f334(f113(x58681),x58682)),f334(f113(x58681),x58683)),f334(f113(x58681),f334(f334(f90(a919),x58682),x58683)))
% 164.74/165.08 [5869]~P146(x58691)+E(f334(f334(f89(x58691),f334(f113(x58691),x58692)),f334(f113(x58691),x58693)),f334(f113(x58691),f334(f334(f89(a919),x58692),x58693)))
% 164.74/165.08 [5870]~P142(x58701)+E(f334(f334(f23(x58701),f334(f115(x58701),x58702)),f334(f115(x58701),x58703)),f334(f115(x58701),f334(f334(f23(a1),x58702),x58703)))
% 164.74/165.08 [5871]~P142(x58711)+E(f334(f334(f90(x58711),f334(f115(x58711),x58712)),f334(f115(x58711),x58713)),f334(f115(x58711),f334(f334(f90(a1),x58712),x58713)))
% 164.74/165.08 [5872]~P142(x58721)+E(f334(f334(f89(x58721),f334(f115(x58721),x58722)),f334(f115(x58721),x58723)),f334(f115(x58721),f334(f334(f89(a1),x58722),x58723)))
% 164.74/165.08 [5873]~P97(x58731)+E(f334(f334(f23(x58731),f334(f116(x58731),x58732)),f334(f116(x58731),x58733)),f334(f116(x58731),f334(f334(f23(a1),x58732),x58733)))
% 164.74/165.08 [5876]~P97(x58761)+E(f334(f334(f90(x58761),f334(f116(x58761),x58762)),f334(f116(x58761),x58763)),f334(f116(x58761),f334(f334(f90(a1),x58762),x58763)))
% 164.74/165.08 [5877]~P97(x58771)+E(f334(f334(f89(x58771),f334(f116(x58771),x58772)),f334(f116(x58771),x58773)),f334(f116(x58771),f334(f334(f89(a1),x58772),x58773)))
% 164.74/165.08 [5926]~E(x59263,x59262)+P107(f334(f334(f248(f926(x59261,a913)),x59262),x59263))
% 164.74/165.08 [5932]~E(x59322,x59323)+P107(f334(f334(f248(f926(x59321,a913)),x59322),x59323))
% 164.74/165.08 [5937]~P86(x59371)+E(f334(f334(f114(x59371),f334(f88(x59371),x59372)),f334(f88(x59371),x59373)),f334(f88(x59371),f334(f334(f123(x59371),x59372),x59373)))
% 164.74/165.08 [5938]~P86(x59381)+E(f334(f334(f123(x59381),f334(f88(x59381),x59382)),f334(f88(x59381),x59383)),f334(f88(x59381),f334(f334(f114(x59381),x59382),x59383)))
% 164.74/165.08 [5939]~P71(x59391)+E(f334(f334(f89(x59391),f334(f88(x59391),x59392)),f334(f88(x59391),x59393)),f334(f88(x59391),f334(f334(f89(x59391),x59393),x59392)))
% 164.74/165.08 [5940]~P63(x59401)+E(f334(f334(f89(x59401),f334(f88(x59401),x59402)),f334(f88(x59401),x59403)),f334(f88(x59401),f334(f334(f89(x59401),x59402),x59403)))
% 164.74/165.08 [5941]~P78(x59411)+E(f334(f334(f247(x59411),f334(f88(x59411),x59412)),f334(f88(x59411),x59413)),f334(f88(x59411),f334(f334(f246(x59411),x59412),x59413)))
% 164.74/165.08 [5942]~P78(x59421)+E(f334(f334(f246(x59421),f334(f88(x59421),x59422)),f334(f88(x59421),x59423)),f334(f88(x59421),f334(f334(f247(x59421),x59422),x59423)))
% 164.74/165.08 [5943]~P122(x59431)+E(f334(f334(f90(x59431),f334(f84(x59431),x59432)),f334(f84(x59431),x59433)),f334(f84(x59431),f334(f334(f90(x59431),x59432),x59433)))
% 164.74/165.08 [5944]~P67(x59441)+E(f334(f334(f297(x59441),f334(f84(x59441),x59442)),f334(f84(x59441),x59443)),f334(f84(x59441),f334(f334(f297(x59441),x59442),x59443)))
% 164.74/165.08 [5945]~P82(x59451)+E(f334(f334(f89(x59451),f334(f175(x59451),x59452)),f334(f175(x59451),x59453)),f334(f175(x59451),f334(f334(f144(x59451),x59452),x59453)))
% 164.74/165.08 [5946]E(x59461,f198(f926(x59462,a913)))+~E(f334(f334(f123(f926(x59462,a913)),x59463),x59461),f198(f926(x59462,a913)))
% 164.74/165.08 [5947]E(x59471,f198(f926(x59472,a913)))+~E(f334(f334(f123(f926(x59472,a913)),x59471),x59473),f198(f926(x59472,a913)))
% 164.74/165.08 [5948]~P148(x59481,x59482,x59483)+P107(f334(x59481,f334(f334(f45(a1),x59482),x59483)))
% 164.74/165.08 [6000]~P107(f334(f70(x60001),x60003))+P107(f334(f70(x60001),f334(f334(f316(x60001),x60002),x60003)))
% 164.74/165.08 [6001]~P107(f334(f147(x60011),x60013))+P107(f334(f147(x60011),f334(f334(f185(x60011),x60012),x60013)))
% 164.74/165.08 [6002]~P107(f334(f147(x60021),x60023))+P107(f334(f147(x60021),f334(f334(f148(x60021),x60022),x60023)))
% 164.74/165.08 [6031]~P83(x60311)+P107(f334(f334(f248(x60311),x60312),f334(f334(f123(x60311),x60313),x60312)))
% 164.74/165.08 [6032]~P102(x60321)+P107(f334(f334(f248(x60321),x60322),f334(f334(f123(x60321),x60323),x60322)))
% 164.74/165.08 [6033]~P83(x60331)+P107(f334(f334(f248(x60331),x60332),f334(f334(f123(x60331),x60332),x60333)))
% 164.74/165.08 [6034]~P102(x60341)+P107(f334(f334(f248(x60341),x60342),f334(f334(f123(x60341),x60342),x60343)))
% 164.74/165.08 [6035]~P110(x60351)+P107(f334(f334(f248(x60351),x60352),f334(f334(f247(x60351),x60353),x60352)))
% 164.74/165.08 [6036]~P110(x60361)+P107(f334(f334(f248(x60361),x60362),f334(f334(f247(x60361),x60362),x60363)))
% 164.74/165.08 [6049]~E(x60491,f2(a919))+E(f334(f334(f45(a919),f334(f334(f90(a919),x60491),x60492)),f334(f334(f90(a919),x60491),x60493)),f2(a919))
% 164.74/165.08 [6118]P107(f334(x61181,x61182))+P107(f334(f334(f204(f33(x61181,x61183)),x61182),x61182))
% 164.74/165.08 [6133]~P97(x61331)+E(f334(f334(f23(x61331),f334(f116(x61331),x61332)),f334(f116(x61331),x61333)),f334(f116(x61331),f334(f334(f89(a1),x61332),f334(f88(a1),x61333))))
% 164.74/165.08 [6190]E(x61901,f2(a919))+E(f334(f334(f45(a919),f334(f334(f90(a919),x61901),x61902)),f334(f334(f90(a919),x61901),x61903)),f334(f334(f45(a919),x61902),x61903))
% 164.74/165.08 [6221]E(f162(x62211,f334(f334(f161(x62211),x62212),x62213)),f334(f334(f161(x62211),x62212),f162(x62211,x62213)))+P107(f334(f334(f336(x62211),x62212),f334(f182(x62211),x62213)))
% 164.74/165.08 [6256]P148(x62561,x62562,x62563)+~P107(f334(x62561,f334(f334(f45(a1),x62562),x62563)))
% 164.74/165.08 [6332]E(x63321,f126(x63322))+E(f334(f334(f161(x63322),f334(f151(x63322),x63321)),f334(f334(f185(x63322),x63323),f334(f181(x63322),x63321))),f334(f334(f185(x63322),f334(a125,x63323)),x63321))
% 164.74/165.08 [6339]E(f334(f334(f23(f926(x63391,a913)),x63392),x63393),x63392)+~E(f334(f334(f114(f926(x63391,a913)),x63392),x63393),f198(f926(x63391,a913)))
% 164.74/165.08 [6353]E(f162(x63531,f334(f334(f161(x63531),x63532),x63533)),f162(x63531,x63533))+~P107(f334(f334(f336(x63531),x63532),f334(f182(x63531),x63533)))
% 164.74/165.08 [6383]~P107(f334(f334(f248(a919),x63831),x63833))+P107(f334(f334(f248(a919),x63831),f334(f334(f89(a919),x63832),x63833)))
% 164.74/165.08 [6385]~P107(f334(f334(f248(a919),x63851),x63852))+P107(f334(f334(f248(a919),x63851),f334(f334(f89(a919),x63852),x63853)))
% 164.74/165.08 [6387]~P107(f334(f334(f249(a919),x63871),x63873))+P107(f334(f334(f249(a919),x63871),f334(f334(f89(a919),x63872),x63873)))
% 164.74/165.08 [6389]~P107(f334(f334(f249(a919),x63891),x63892))+P107(f334(f334(f249(a919),x63891),f334(f334(f89(a919),x63892),x63893)))
% 164.74/165.08 [6428]P107(f334(f70(x64281),x64282))+~P107(f334(f70(x64281),f334(f334(f316(x64281),x64283),x64282)))
% 164.74/165.08 [6429]P107(f334(f147(x64291),x64292))+~P107(f334(f147(x64291),f334(f334(f161(x64291),x64293),x64292)))
% 164.74/165.08 [6430]P107(f334(f147(x64301),x64302))+~P107(f334(f147(x64301),f334(f334(f144(x64301),x64303),x64302)))
% 164.74/165.08 [6431]P107(f334(f147(x64311),x64312))+~P107(f334(f147(x64311),f334(f334(f144(x64311),x64312),x64313)))
% 164.74/165.08 [6477]~P119(x64771)+E(f334(f334(f89(x64771),x64772),f334(f334(f90(x64771),x64773),x64772)),f334(f334(f90(x64771),f334(f334(f89(x64771),x64773),f87(x64771))),x64772))
% 164.74/165.08 [6523]~E(x65231,x65232)+~P107(f334(f334(f249(f926(x65233,a913)),x65231),x65232))
% 164.74/165.08 [6569]P107(f334(f334(f336(x65691),x65692),x65693))+P107(f334(f334(f336(x65691),x65692),f334(f88(f926(x65691,a913)),x65693)))
% 164.74/165.08 [6575]E(f154(x65751,f334(f334(f148(x65751),x65752),x65753)),f154(x65751,x65753))+~P107(f334(f334(f249(a919),x65752),f334(f199(f920(x65751)),x65753)))
% 164.74/165.08 [6576]E(f334(f334(f185(x65761),x65762),f127(x65761,x65763)),f334(f334(f185(x65761),x65762),x65763))+~P107(f334(f334(f249(a919),x65762),f334(f199(f920(x65761)),x65763)))
% 164.74/165.08 [6632]E(f334(f334(f334(f193(f920(x66321),f920(x66321)),x66322),f177(x66321)),x66323),x66323)+~E(f54(a919,x66322,f334(f199(f920(x66321)),x66323)),f2(a919))
% 164.74/165.08 [6639]~P6(x66391,x66393,x66392)+E(f334(f334(f296(x66391,x66391,x66391),f334(f294(x66391,x66391),x66392)),x66392),x66392)
% 164.74/165.08 [6681]~E(f334(f334(f123(f926(x66811,a913)),x66812),x66813),x66813)+P107(f334(f334(f248(f926(x66811,a913)),x66812),x66813))
% 164.74/165.08 [6686]~P54(x66861,x66861,x66863)+P54(x66861,x66861,f334(f334(f193(f925(x66861,x66861),a913),x66862),x66863))
% 164.74/165.08 [6690]~P107(f334(f334(f336(x66901),x66903),f334(f182(x66901),x66902)))+P107(f334(f334(f249(a919),f2(a919)),f334(f199(f920(x66901)),x66902)))
% 164.74/165.08 [6716]~P91(x67161)+E(f334(f84(x67161),f334(f334(f89(x67161),f334(f84(x67161),x67162)),f334(f84(x67161),x67163))),f334(f334(f89(x67161),f334(f84(x67161),x67162)),f334(f84(x67161),x67163)))
% 164.74/165.08 [6728]E(f334(f334(f45(a919),f334(f334(f90(a919),x67281),x67282)),f334(f334(f90(a919),x67281),x67283)),f334(f334(f45(a919),x67282),x67283))+~P107(f334(f334(f249(a919),f2(a919)),x67281))
% 164.74/165.08 [6775]E(x67751,x67752)+~P107(f334(f334(f334(f334(a206,a26),x67751),x67753),x67752))
% 164.74/165.08 [6828]~P107(f334(f334(a931,x68281),x68282))+P107(f334(f334(a931,x68281),f334(f334(f334(a207,x68282),f36(a932)),x68283)))
% 164.74/165.08 [6864]~P107(f334(f70(x68641),x68643))+E(f334(f334(f73(x68641,f926(x68641,a913),f316(x68641)),x68642),x68643),f334(f334(f123(f926(x68641,a913)),x68643),x68642))
% 164.74/165.08 [6919]E(f334(f334(f123(f926(x69191,a913)),x69192),x69193),x69192)+~P107(f334(f334(f248(f926(x69191,a913)),x69193),x69192))
% 164.74/165.08 [6921]E(f334(f334(f123(f926(x69211,a913)),x69212),x69213),x69213)+~P107(f334(f334(f248(f926(x69211,a913)),x69212),x69213))
% 164.74/165.08 [6922]E(f334(f334(f114(f926(x69221,a913)),x69222),x69223),x69223)+~P107(f334(f334(f248(f926(x69221,a913)),x69223),x69222))
% 164.74/165.08 [6923]E(f334(f334(f114(f926(x69231,a913)),x69232),x69233),x69232)+~P107(f334(f334(f248(f926(x69231,a913)),x69232),x69233))
% 164.74/165.08 [6973]~P107(f334(f147(x69731),x69732))+E(f334(f334(f23(f926(x69731,a913)),f334(f182(x69731),x69732)),f334(f334(f316(x69731),x69733),f198(f926(x69731,a913)))),f334(f182(x69731),f180(x69731,x69733,x69732)))
% 164.74/165.08 [7025]P38(x70251,x70252)+~P38(x70251,f334(f334(f193(f925(x70251,x70251),a913),x70253),x70252))
% 164.74/165.08 [7090]P107(f334(f58(x70901,x70902),f334(a60,x70903)))+~P107(f334(f58(f334(f88(a1),x70901),f334(f88(a1),x70902)),x70903))
% 164.74/165.08 [7095]E(f334(f334(f23(f926(x70951,a913)),f334(f334(f316(x70951),x70952),x70953)),f334(f334(f316(x70951),x70952),f198(f926(x70951,a913)))),x70953)+P107(f334(f334(f336(x70951),x70952),x70953))
% 164.74/165.08 [7116]E(f334(f334(f114(f926(x71161,a913)),f334(f182(x71161),x71162)),f334(f182(x71161),x71163)),f198(f926(x71161,a913)))+~P107(f334(f147(x71161),f334(f334(f144(x71161),x71162),x71163)))
% 164.74/165.08 [7131]~P107(f334(f334(f336(x71311),x71312),f334(f182(x71311),x71313)))+~P107(f334(f147(x71311),f334(f334(f161(x71311),x71312),x71313)))
% 164.74/165.08 [7203]P32(x72031,x72032,x72033)+P107(f334(f334(f249(a919),f815(x72033,x72032,x72031)),f334(f199(f920(x72031)),x72033)))
% 164.74/165.08 [7213]E(f334(f334(f114(f926(x72131,a913)),x72132),x72133),f198(f926(x72131,a913)))+P107(f334(f334(f336(x72131),f882(x72133,x72132,x72131)),x72132))
% 164.74/165.08 [7214]E(f334(f334(f114(f926(x72141,a913)),x72142),x72143),f198(f926(x72141,a913)))+P107(f334(f334(f336(x72141),f900(x72143,x72142,x72141)),x72143))
% 164.74/165.08 [7217]E(f127(x72171,f334(f334(f185(x72171),x72172),x72173)),f334(f334(f185(x72171),f334(f334(f23(a919),x72172),f87(a919))),x72173))+~P107(f334(f334(f248(a919),x72172),f334(f199(f920(x72171)),x72173)))
% 164.74/165.08 [7277]~P34(x72773,x72772,x72771)+P107(f334(f334(f249(a919),f810(x72771,x72772,x72773)),f334(f199(f920(x72773)),x72771)))
% 164.74/165.08 [7295]P107(f334(f334(f249(a919),f2(a919)),x72951))+P107(f334(f334(f248(a919),f334(f334(f90(a919),x72952),x72951)),f334(f334(f90(a919),x72953),x72951)))
% 164.74/165.08 [7296]P107(f334(f334(f249(a919),f2(a919)),x72961))+P107(f334(f334(f248(a919),f334(f334(f90(a919),x72961),x72962)),f334(f334(f90(a919),x72961),x72963)))
% 164.74/165.08 [7299]~P107(f334(f334(f336(x72991),x72992),x72993))+~P107(f334(f334(f336(x72991),x72992),f334(f88(f926(x72991,a913)),x72993)))
% 164.74/165.08 [7305]~P107(f334(f334(f249(f926(x73051,a913)),x73052),x73053))+P107(f334(f334(f248(f926(x73051,a913)),x73052),x73053))
% 164.74/165.08 [7411]~P107(f334(f334(f248(a919),x74113),x74112))+P107(f334(f334(f248(a919),f334(f334(f23(a919),x74111),x74112)),f334(f334(f23(a919),x74111),x74113)))
% 164.74/165.08 [7412]~P107(f334(f334(f248(a919),x74121),x74123))+P107(f334(f334(f248(a919),f334(f334(f23(a919),x74121),x74122)),f334(f334(f23(a919),x74123),x74122)))
% 164.74/165.08 [7414]~P107(f334(f334(f248(a919),x74142),x74143))+P107(f334(f334(f248(a919),f334(f334(f90(a919),x74141),x74142)),f334(f334(f90(a919),x74141),x74143)))
% 164.74/165.08 [7416]~P107(f334(f334(f248(a919),x74161),x74163))+P107(f334(f334(f248(a919),f334(f334(f90(a919),x74161),x74162)),f334(f334(f90(a919),x74163),x74162)))
% 164.74/165.08 [7417]~P107(f334(f334(f248(a919),x74172),x74173))+P107(f334(f334(f248(a919),f334(f334(f89(a919),x74171),x74172)),f334(f334(f89(a919),x74171),x74173)))
% 164.74/165.08 [7418]~P107(f334(f334(f248(a919),x74181),x74183))+P107(f334(f334(f248(a919),f334(f334(f89(a919),x74181),x74182)),f334(f334(f89(a919),x74183),x74182)))
% 164.74/165.08 [7419]~P107(f334(f334(f248(a919),x74191),x74193))+P107(f334(f334(f248(a919),f334(f334(f45(a919),x74191),x74192)),f334(f334(f45(a919),x74193),x74192)))
% 164.74/165.08 [7420]~P107(f334(f334(f248(a1),x74202),x74203))+P107(f334(f334(f248(a1),f334(f334(f89(a1),x74201),x74202)),f334(f334(f89(a1),x74201),x74203)))
% 164.74/165.08 [7423]~P107(f334(f334(f249(a919),x74232),x74233))+P107(f334(f334(f249(a919),f334(f334(f89(a919),x74231),x74232)),f334(f334(f89(a919),x74231),x74233)))
% 164.74/165.08 [7424]~P107(f334(f334(f249(a919),x74241),x74243))+P107(f334(f334(f249(a919),f334(f334(f89(a919),x74241),x74242)),f334(f334(f89(a919),x74243),x74242)))
% 164.74/165.08 [7425]~P107(f334(f334(f249(a1),x74251),x74253))+P107(f334(f334(f249(a1),f334(f334(f89(a1),x74251),x74252)),f334(f334(f89(a1),x74253),x74252)))
% 164.74/165.08 [7503]E(x75031,x75032)+~P107(f334(f334(f336(x75033),x75031),f334(f334(f316(x75033),x75032),f198(f926(x75033,a913)))))
% 164.74/165.08 [7505]~E(f334(f334(f114(f926(x75051,a913)),x75052),x75053),f198(f926(x75051,a913)))+P107(f334(f334(f248(f926(x75051,a913)),x75052),f334(f88(f926(x75051,a913)),x75053)))
% 164.74/165.08 [7511]P107(f334(f334(f336(f926(x75111,a913)),x75112),f334(f315(x75111),x75113)))+~P107(f334(f334(f248(f926(x75111,a913)),x75112),x75113))
% 164.74/165.08 [7561]E(f334(f334(f161(x75611),f334(f334(f174(x75611),x75612),x75613)),f334(f334(f148(x75611),f334(a125,x75613)),x75612)),f334(f334(f148(x75611),x75613),x75612))+~P107(f334(f334(f249(a919),x75613),f334(f199(f920(x75611)),x75612)))
% 164.74/165.08 [7587]P107(f334(f334(f336(f925(x75871,x75871)),x75872),f314(x75871,x75873)))+~P107(f334(f334(f336(f925(x75871,x75871)),x75872),x75873))
% 164.74/165.08 [7597]~P107(f334(f334(f336(f926(x75971,a913)),x75972),f334(f315(x75971),x75973)))+P107(f334(f334(f248(f926(x75971,a913)),x75972),x75973))
% 164.74/165.08 [7641]P107(f334(f334(f248(f926(x76411,a913)),x76412),f46(f926(x76411,a913),x76413)))+~P107(f334(f334(f336(f926(x76411,a913)),x76412),x76413))
% 164.74/165.08 [7663]~P142(x76631)+E(f334(f334(f90(x76631),f334(f334(f258(x76631),f334(f88(x76631),f87(x76631))),x76632)),f334(f334(f258(x76631),x76633),x76632)),f334(f334(f258(x76631),f334(f88(x76631),x76633)),x76632))
% 164.74/165.08 [7685]E(f334(f334(f174(x76851),x76852),f334(f334(f23(a919),f334(f199(f920(x76851)),x76852)),f334(a125,x76853))),f334(f334(f174(x76851),f334(f178(x76851),x76852)),x76853))+~P107(f334(f334(f249(a919),x76853),f334(f199(f920(x76851)),x76852)))
% 164.74/165.08 [7702]~E(f334(f334(f114(f926(x77021,a913)),f387(x77023,x77022,x77021)),x77023),f198(f926(x77021,a913)))+E(f334(f334(f114(f926(x77021,a913)),f46(f926(x77021,a913),x77022)),x77023),f198(f926(x77021,a913)))
% 164.74/165.08 [7764]~P107(f334(f334(f336(x77643),x77642),f334(f182(x77643),x77641)))+P107(f334(f334(f249(a919),f716(x77641,x77642,x77643)),f334(f199(f920(x77643)),x77641)))
% 164.74/165.08 [7772]P107(f334(f334(f336(x77721),f334(f334(f174(x77721),x77722),x77723)),f334(f182(x77721),x77722)))+~P107(f334(f334(f249(a919),x77723),f334(f199(f920(x77721)),x77722)))
% 164.74/165.08 [7871]~P107(f334(x78712,f778(x78713,x78712,x78711)))+E(f334(f334(f148(x78711),f334(f199(f920(x78711)),f187(x78711,x78712,x78713))),x78713),f126(x78711))
% 164.74/165.08 [7883]P107(f334(f334(f248(f926(f920(x78831),a913)),f171(x78831,x78832)),f171(x78831,x78833)))+~P107(f334(f334(f248(f926(x78831,a913)),x78832),x78833))
% 164.74/165.08 [7884]P107(f334(f334(f248(f926(f920(x78841),a913)),f170(x78841,x78842)),f170(x78841,x78843)))+~P107(f334(f334(f248(f926(x78841,a913)),x78842),x78843))
% 164.74/165.08 [7912]E(f334(f334(f114(f926(x79121,a913)),f46(f926(x79121,a913),x79122)),x79123),f198(f926(x79121,a913)))+P107(f334(f334(f336(f926(x79121,a913)),f387(x79123,x79122,x79121)),x79122))
% 164.74/165.08 [7914]~P107(f334(f334(f336(f926(x79141,a913)),x79143),x79142))+P107(f334(f334(f248(f926(x79141,a913)),f47(f926(x79141,a913),x79142)),x79143))
% 164.74/165.08 [7916]E(f334(f334(f114(f926(x79161,a913)),x79162),x79163),f198(f926(x79161,a913)))+~P107(f334(f334(f248(f926(x79161,a913)),x79162),f334(f88(f926(x79161,a913)),x79163)))
% 164.74/165.08 [7965]E(f334(f334(f23(a919),f334(f334(f89(a919),f334(f175(a919),x79651)),x79652)),f334(f334(f174(a919),x79651),x79653)),f334(f175(a919),f334(f334(f169(a919,x79651),x79653),x79652)))+~P107(f334(f334(f249(a919),x79653),f334(f199(f920(a919)),x79651)))
% 164.74/165.08 [8016]P107(f334(f334(f248(a919),x80161),x80162))+~P107(f334(f334(f248(a919),f334(f334(f89(a919),x80163),x80161)),f334(f334(f89(a919),x80163),x80162)))
% 164.74/165.08 [8019]P107(f334(f334(f249(a919),x80191),x80192))+~P107(f334(f334(f249(a919),f334(f334(f89(a919),x80193),x80191)),f334(f334(f89(a919),x80193),x80192)))
% 164.74/165.08 [8020]P107(f334(f334(f249(a919),x80201),x80202))+~P107(f334(f334(f249(a919),f334(f334(f90(a919),x80203),x80201)),f334(f334(f90(a919),x80203),x80202)))
% 164.74/165.08 [8021]P107(f334(f334(f249(a919),x80211),x80212))+~P107(f334(f334(f249(a919),f334(f334(f90(a919),x80211),x80213)),f334(f334(f90(a919),x80212),x80213)))
% 164.74/165.08 [8050]P107(f334(f334(f249(a919),f2(a919)),x80501))+~P107(f334(f334(f249(a919),f334(f334(f90(a919),x80502),x80501)),f334(f334(f90(a919),x80503),x80501)))
% 164.74/165.08 [8051]P107(f334(f334(f249(a919),f2(a919)),x80511))+~P107(f334(f334(f249(a919),f334(f334(f90(a919),x80511),x80512)),f334(f334(f90(a919),x80511),x80513)))
% 164.74/165.08 [8123]E(f260(x81231,x81232,x81233),x81232)+~P107(f334(f334(f248(f926(x81231,a913)),x81233),f334(f334(f316(x81231),x81232),f198(f926(x81231,a913)))))
% 164.74/165.08 [8179]~P107(f334(f147(x81791),x81793))+E(f334(f146(x81791,f334(f334(f8(a913,a913,x81791),a329),f334(a331,x81792))),x81793),f180(x81791,x81792,x81793))
% 164.74/165.08 [8204]E(f334(f334(f148(x82041),f334(f199(f920(x82041)),f187(x82041,x82042,x82043))),x82043),f126(x82041))+P107(f334(f334(f336(x82041),f778(x82043,x82042,x82041)),f334(f182(x82041),x82043)))
% 164.74/165.08 [8208]E(f334(f334(f144(x82081),f334(f334(f185(x82081),x82082),x82083)),f334(f334(f161(x82081),f334(f334(f174(x82081),x82083),x82082)),f126(x82081))),f334(f334(f185(x82081),f334(a125,x82082)),x82083))+~P107(f334(f334(f249(a919),x82082),f334(f199(f920(x82081)),x82083)))
% 164.74/165.08 [8270]E(f334(f146(x82701,f334(f334(f8(a913,a913,x82701),a329),f334(a331,x82702))),x82703),x82703)+P107(f334(f334(f336(x82701),x82702),f334(f182(x82701),x82703)))
% 164.74/165.08 [8278]P107(f334(f334(f248(f926(f926(x82781,a913),a913)),f261(x82781,x82782)),f261(x82781,x82783)))+~P107(f334(f334(f248(f926(x82781,a913)),x82782),x82783))
% 164.74/165.08 [8318]~P107(f334(f147(x83181),x83183))+P107(f334(f147(x83181),f334(f334(f334(f193(f920(x83181),f920(x83181)),x83182),f177(x83181)),x83183)))
% 164.74/165.08 [8324]~P107(f334(f334(f249(a919),x83242),x83243))+P107(f334(f334(f249(a919),f334(f334(f90(a919),f334(a125,x83241)),x83242)),f334(f334(f90(a919),f334(a125,x83241)),x83243)))
% 164.74/165.08 [8344]P107(f334(f334(f248(f926(f926(x83441,a913),a913)),f334(f315(x83441),x83442)),f334(f315(x83441),x83443)))+~P107(f334(f334(f248(f926(x83441,a913)),x83442),x83443))
% 164.74/165.08 [8413]~E(f334(f317(x84131,x84132,x84133),f256(f926(x84131,a913))),f256(f926(x84132,a913)))+E(f334(f81(x84131,x84132,x84132,x84133),f101(x84131,x84132,f256(f926(x84131,a913)),x84133)),f25(x84132))
% 164.74/165.08 [8506]~P107(f334(f334(f248(f926(x85061,a913)),x85063),x85062))+P107(f334(f334(f248(f926(x85061,a913)),f334(f88(f926(x85061,a913)),x85062)),f334(f88(f926(x85061,a913)),x85063)))
% 164.74/165.08 [8543]E(f334(f317(a919,a919,f334(f334(f7(a919,a919,a919),f23(a919)),x85431)),f334(f309(a919,x85432),x85433)),f334(f309(a919,f334(f334(f23(a919),x85432),x85431)),f334(f334(f23(a919),x85433),x85431)))+~P107(f334(f334(f249(a919),x85431),x85433))
% 164.74/165.08 [8571]~P82(x85711)+E(f334(f334(f89(x85711),x85712),f334(f152(x85711,x85711,f89(x85711),f2(x85711)),x85713)),f334(f152(x85711,x85711,f89(x85711),x85712),x85713))
% 164.74/165.08 [8653]~P91(x86531)+P107(f334(f334(f248(x86531),f334(f84(x86531),f334(f334(f23(x86531),x86532),x86533))),f334(f334(f89(x86531),f334(f84(x86531),x86532)),f334(f84(x86531),x86533))))
% 164.74/165.08 [8654]~P91(x86541)+P107(f334(f334(f248(x86541),f334(f84(x86541),f334(f334(f89(x86541),x86542),x86543))),f334(f334(f89(x86541),f334(f84(x86541),x86542)),f334(f84(x86541),x86543))))
% 164.74/165.08 [8665]E(f334(f334(f89(a1),f334(f334(f90(a1),x86651),f54(a1,f334(f334(f45(a1),x86652),x86651),x86653))),f54(a1,x86652,x86651)),f54(a1,x86652,f334(f334(f90(a1),x86651),x86653)))+~P107(f334(f334(f249(a1),f2(a1)),x86653))
% 164.74/165.08 [8671]E(f334(f334(f144(x86711),f334(f334(f185(x86711),x86712),x86713)),f334(f334(f161(x86711),f334(f151(x86711),f334(f334(f148(x86711),x86712),x86713))),f126(x86711))),f334(f334(f185(x86711),f334(a125,x86712)),x86713))+~P107(f334(f334(f249(a919),x86712),f334(f199(f920(x86711)),x86713)))
% 164.74/165.08 [8691]E(f334(f278(x86911,f334(f334(f164(x86911,f925(a112,x86911)),f334(f266(a112,x86911),f87(a112))),x86912)),f334(a3,x86913)),f334(f334(f174(x86911),x86912),x86913))+~P107(f334(f334(f249(a919),x86913),f334(f199(f920(x86911)),x86912)))
% 164.74/165.08 [8760]P107(f334(f334(f336(f925(x87601,x87601)),x87602),f334(f334(f296(x87601,x87601,x87601),x87603),f314(x87601,x87603))))+~P107(f334(f334(f336(f925(x87601,x87601)),x87602),x87603))
% 164.74/165.08 [8771]E(f334(f317(x87711,x87712,x87713),f256(f926(x87711,a913))),f256(f926(x87712,a913)))+~E(f334(f81(x87711,x87712,x87712,x87713),f101(x87711,x87712,f256(f926(x87711,a913)),x87713)),f25(x87712))
% 164.74/165.08 [8782]P107(f334(f334(f248(a919),x87821),x87822))+~P107(f334(f334(f248(a919),f334(f334(f90(a919),f334(a125,x87823)),x87821)),f334(f334(f90(a919),f334(a125,x87823)),x87822)))
% 164.74/165.08 [8798]P107(f334(f334(f248(f926(x87981,a913)),x87982),x87983))+~P107(f334(f334(f248(f926(x87981,a913)),f334(f88(f926(x87981,a913)),x87983)),f334(f88(f926(x87981,a913)),x87982)))
% 164.74/165.08 [8820]P107(f334(f147(x88201),x88202))+~P107(f334(f147(x88201),f334(f334(f334(f193(f920(x88201),f920(x88201)),x88203),f177(x88201)),x88202)))
% 164.74/165.08 [8892]E(f334(f293(x88921,x88921,f314(x88921,x88922)),x88923),x88923)+~P107(f334(f334(f248(f926(x88921,a913)),f334(f293(x88921,x88921,x88922),x88923)),x88923))
% 164.74/165.08 [8939]~P110(x89391)+P12(x89391,f334(f146(x89391,f334(f334(f7(x89391,x89391,a913),a331),f334(x89392,x89393))),x89393))
% 164.74/165.08 [8946]~P107(f334(f334(f248(a919),x89461),x89462))+P107(f334(f334(f248(a919),x89461),f334(f152(a919,a919,f89(a919),x89462),x89463)))
% 164.74/165.08 [9031]~P107(f334(f334(f336(f925(x90311,x90311)),x90312),f314(x90311,x90313)))+P107(f334(f334(f336(f925(x90311,x90311)),x90312),f334(f334(f193(f925(x90311,x90311),a913),f652(x90313,x90312,x90311)),x90313)))
% 164.74/165.08 [9123]~P82(x91231)+E(f334(f334(f89(x91231),x91232),f334(f152(x91231,x91231,f334(f7(x91231,x91231,x91231),f89(x91231)),f2(x91231)),f334(f178(x91231),x91233))),f334(f152(x91231,x91231,f89(x91231),x91232),x91233))
% 164.74/165.08 [9245]~P24(x92452,x92451,x92453,f256(f926(x92452,a913)),f256(f926(x92451,a913)))+E(f101(x92451,x92452,f256(f926(x92451,a913)),f101(x92452,x92451,f256(f926(x92452,a913)),x92453)),x92453)
% 164.74/165.08 [9395]P54(x93951,x93952,x93953)+P107(f334(f334(f336(f925(x93951,x93952)),f334(f334(f266(x93951,x93952),f662(x93953,x93952,x93951)),f640(x93953,x93952,x93951))),x93953))
% 164.74/165.08 [9396]P54(x93961,x93962,x93963)+P107(f334(f334(f336(f925(x93961,x93962)),f334(f334(f266(x93961,x93962),f662(x93963,x93962,x93961)),f639(x93963,x93962,x93961))),x93963))
% 164.74/165.08 [9470]~P107(f334(f334(f336(f925(x94701,x94701)),x94702),f334(f334(f296(x94701,x94701,x94701),x94703),f314(x94701,x94703))))+P107(f334(f334(f336(f925(x94701,x94701)),x94702),f334(f334(f193(f925(x94701,x94701),a913),f656(x94703,x94702,x94701)),x94703)))
% 164.74/165.08 [9471]~P107(f334(x94711,f334(f334(f174(x94712),x94713),f334(f199(f920(x94712)),f187(x94712,x94711,x94713)))))+~P107(f334(f334(f249(a919),f334(f199(f920(x94712)),f187(x94712,x94711,x94713))),f334(f199(f920(x94712)),x94713)))
% 164.74/165.08 [9563]~P107(f334(f334(f248(f926(x95631,a913)),x95632),x95633))+P107(f334(f334(f248(f926(x95631,a913)),f334(f334(f7(x95631,f926(x95631,a913),a913),f336(x95631)),x95632)),f334(f334(f7(x95631,f926(x95631,a913),a913),f336(x95631)),x95633)))
% 164.74/165.08 [9622]~P107(f334(f334(f336(f925(f926(x96221,a913),f926(x96221,a913))),f334(f334(f266(f926(x96221,a913),f926(x96221,a913)),x96222),x96223)),f321(x96221)))+P107(f334(f334(f249(f926(x96221,a913)),x96222),x96223))
% 164.74/165.08 [9646]P55(x96461,x96462,x96463)+~P107(f334(f334(f336(f925(x96461,x96461)),f334(f334(f266(x96461,x96461),f341(x96463,x96462,x96461)),f340(x96463,x96462,x96461))),x96463))
% 164.74/165.08 [9647]P55(x96471,x96472,x96473)+~P107(f334(f334(f336(f925(x96471,x96471)),f334(f334(f266(x96471,x96471),f340(x96473,x96472,x96471)),f341(x96473,x96472,x96471))),x96473))
% 164.74/165.08 [9688]~P107(f334(f334(f336(f925(f920(x96881),f920(x96881))),f334(f334(f266(f920(x96881),f920(x96881)),x96882),x96882)),f157(x96881,x96883)))+P107(f334(f334(f336(f925(x96881,x96881)),f334(f334(f266(x96881,x96881),f718(x96882,x96883,x96881)),f718(x96882,x96883,x96881))),x96883))
% 164.74/165.08 [9745]P107(f334(f334(f248(f926(x97451,a913)),x97452),x97453))+~P107(f334(f334(f248(f926(x97451,a913)),f334(f334(f7(x97451,f926(x97451,a913),a913),f336(x97451)),x97452)),f334(f334(f7(x97451,f926(x97451,a913),a913),f336(x97451)),x97453)))
% 164.74/165.08 [9828]E(f334(f334(f23(a919),f334(f334(f6(a919,a919),x98281),f334(f290(a919),x98282))),f334(f334(f6(a919,a919),x98283),f334(f290(a919),x98282))),f334(f334(f6(a919,a919),f334(f334(f18(a919,a919,a919),f334(f334(f8(a919,f926(a919,a919),a919),f23(a919)),x98281)),x98283)),f334(f290(a919),x98282)))+~P107(f334(f334(f248(a919),f334(x98283,f549(x98282,x98281,x98283))),f334(x98281,f549(x98282,x98281,x98283))))
% 164.74/165.08 [5786]~P71(x57861)+E(f334(f334(f23(x57861),f334(f334(f89(x57861),x57862),x57863)),x57863),x57862)
% 164.74/165.08 [5787]~P71(x57871)+E(f334(f334(f89(x57871),f334(f334(f23(x57871),x57872),x57873)),x57873),x57872)
% 164.74/165.08 [6008]~P71(x60081)+E(f334(f334(f89(x60081),x60082),f334(f334(f89(x60081),f334(f88(x60081),x60082)),x60083)),x60083)
% 164.74/165.08 [6092]~P81(x60921)+E(f334(f334(f90(x60921),f334(f334(f258(x60921),x60922),x60923)),x60922),f334(f334(f258(x60921),x60922),f334(a125,x60923)))
% 164.74/165.08 [6093]~P119(x60931)+E(f334(f334(f90(x60931),f334(f334(f258(x60931),x60932),x60933)),x60932),f334(f334(f258(x60931),x60932),f334(a125,x60933)))
% 164.74/165.08 [6310]~P122(x63101)+E(f334(f84(x63101),f334(f334(f258(x63101),f334(f88(x63101),x63102)),x63103)),f334(f84(x63101),f334(f334(f258(x63101),x63102),x63103)))
% 164.74/165.08 [6365]~P81(x63651)+E(f334(f334(f90(x63651),f334(f334(f258(x63651),x63652),x63653)),x63652),f334(f334(f90(x63651),x63652),f334(f334(f258(x63651),x63652),x63653)))
% 164.74/165.08 [6419]E(f334(f334(f23(a112),f334(f334(f89(a112),x64191),x64192)),x64193),f282(x64191,x64192,x64193))+~P107(f334(f334(f249(a112),x64192),x64193))
% 164.74/165.08 [6440]~E(f334(f334(f148(x64401),x64403),x64402),f126(x64401))+P107(f334(f334(f248(a919),f334(f199(f920(x64401)),x64402)),x64403))
% 164.74/165.08 [6574]E(f334(f334(f90(a919),f334(f116(a919),x65741)),f334(f334(f90(a919),f334(f116(a919),x65742)),x65743)),f2(a919))+~P107(f334(f334(f249(a1),x65741),a92))
% 164.74/165.08 [6591]~P65(x65911)+E(f334(f334(f258(x65911),f334(f334(f297(x65911),f87(x65911)),x65912)),x65913),f334(f334(f297(x65911),f87(x65911)),f334(f334(f258(x65911),x65912),x65913)))
% 164.74/165.08 [6668]E(f334(f334(f23(a919),f334(f334(f89(a919),x66681),x66682)),x66683),f334(f334(f23(a919),x66681),f334(f334(f23(a919),x66683),x66682)))+~P107(f334(f334(f248(a919),x66682),x66683))
% 164.74/165.08 [6670]E(f334(f334(f23(a919),f334(f334(f89(a919),x66701),x66702)),x66703),f334(f334(f89(a919),x66701),f334(f334(f23(a919),x66702),x66703)))+~P107(f334(f334(f248(a919),x66703),x66702))
% 164.74/165.08 [6707]~P83(x67071)+P107(f334(f334(f248(x67071),f334(f334(f114(x67071),x67072),x67073)),x67073))
% 164.74/165.08 [6708]~P103(x67081)+P107(f334(f334(f248(x67081),f334(f334(f114(x67081),x67082),x67083)),x67083))
% 164.74/165.08 [6709]~P83(x67091)+P107(f334(f334(f248(x67091),f334(f334(f114(x67091),x67092),x67093)),x67092))
% 164.74/165.08 [6710]~P103(x67101)+P107(f334(f334(f248(x67101),f334(f334(f114(x67101),x67102),x67103)),x67102))
% 164.74/165.08 [6711]~P110(x67111)+P107(f334(f334(f248(x67111),f334(f334(f246(x67111),x67112),x67113)),x67113))
% 164.74/165.08 [6712]~P110(x67121)+P107(f334(f334(f248(x67121),f334(f334(f246(x67121),x67122),x67123)),x67122))
% 164.74/165.08 [6727]E(f334(f334(f45(a1),f334(f334(f45(a1),x67271),x67272)),x67273),f334(f334(f45(a1),x67271),f334(f334(f90(a1),x67272),x67273)))+~P107(f334(f334(f249(a1),f2(a1)),x67273))
% 164.74/165.08 [6778]~P119(x67781)+E(f334(f334(f89(x67781),f334(f334(f90(x67781),x67782),x67783)),x67783),f334(f334(f90(x67781),f334(f334(f89(x67781),x67782),f87(x67781))),x67783))
% 164.74/165.08 [6779]~P97(x67791)+E(f334(f334(f90(x67791),f334(f88(x67791),f334(f116(x67791),x67792))),x67793),f334(f334(f90(x67791),f334(f116(x67791),f334(f88(a1),x67792))),x67793))
% 164.74/165.08 [6850]~P82(x68501)+E(f334(f175(x68501),f334(f334(f164(x68502,x68501),f334(f16(x68501,x68502),f2(x68501))),x68503)),f2(x68501))
% 164.74/165.08 [6865]E(f334(f334(f89(a919),f334(f116(a919),x68651)),f334(f334(f89(a919),f334(f116(a919),x68652)),x68653)),f334(f334(f89(a919),f334(f116(a919),x68652)),x68653))+~P107(f334(a203,f334(f116(a1),x68651)))
% 164.74/165.08 [6879]~P3(x68791)+E(f47(x68791,f334(f334(f316(x68791),x68792),f334(f334(f316(x68791),x68793),f198(f926(x68791,a913))))),f334(f334(f114(x68791),x68792),x68793))
% 164.74/165.08 [6880]~P3(x68801)+E(f46(x68801,f334(f334(f316(x68801),x68802),f334(f334(f316(x68801),x68803),f198(f926(x68801,a913))))),f334(f334(f123(x68801),x68802),x68803))
% 164.74/165.08 [6902]E(f334(f334(f185(x69021),x69022),x69023),x69023)+~P107(f334(f334(f248(a919),f334(f199(f920(x69021)),x69023)),x69022))
% 164.74/165.08 [6914]E(f334(f334(f148(x69141),x69142),x69143),f126(x69141))+~P107(f334(f334(f248(a919),f334(f199(f920(x69141)),x69143)),x69142))
% 164.74/165.08 [6925]E(f334(f334(f89(a919),f334(f334(f23(a919),x69251),x69252)),x69253),f334(f334(f23(a919),f334(f334(f89(a919),x69251),x69253)),x69252))+~P107(f334(f334(f248(a919),x69252),x69251))
% 164.74/165.08 [6939]~P107(f334(f334(f249(a919),x69391),x69393))+P107(f334(f334(f249(a919),f334(f334(f23(a919),x69391),x69392)),x69393))
% 164.74/165.08 [6967]~P110(x69671)+E(f180(x69671,x69672,f334(f334(f158(x69671,x69671,f5(x69671)),x69672),x69673)),x69673)
% 164.74/165.08 [7053]E(f334(f334(f23(a919),f334(f334(f89(a919),x70531),x70532)),f334(a125,x70533)),f334(f334(f23(a919),x70531),f334(a125,f334(f334(f23(a919),x70533),x70532))))+~P107(f334(f334(f248(a919),x70532),x70533))
% 164.74/165.08 [7054]~P122(x70541)+P107(f334(f334(f248(x70541),f2(x70541)),f334(f334(f258(x70541),f334(f84(x70541),x70542)),x70543)))
% 164.74/165.08 [7100]P22(x71001,x71002,x71003)+~P107(f334(f334(f248(f926(f918(x71001),a913)),x71003),x71002))
% 164.74/165.08 [7142]~P107(f334(f70(x71421),x71422))+P107(f334(f70(x71421),f334(f334(f23(f926(x71421,a913)),x71422),x71423)))
% 164.74/165.08 [7143]~P107(f334(f70(x71431),x71433))+P107(f334(f70(x71431),f334(f334(f114(f926(x71431,a913)),x71432),x71433)))
% 164.74/165.08 [7144]~P107(f334(f70(x71441),x71442))+P107(f334(f70(x71441),f334(f334(f114(f926(x71441,a913)),x71442),x71443)))
% 164.74/165.08 [7285]~P38(x72851,x72853)+P38(x72851,f334(f334(f114(f926(f925(x72851,x72851),a913)),x72852),x72853))
% 164.74/165.08 [7286]~P38(x72861,x72862)+P38(x72861,f334(f334(f114(f926(f925(x72861,x72861),a913)),x72862),x72863))
% 164.74/165.08 [7407]~P83(x74071)+E(f10(x74071,f334(f182(x74071),f334(f334(f161(x74071),x74072),x74073))),f334(f152(x74071,x74071,f123(x74071),x74072),x74073))
% 164.74/165.08 [7408]~P83(x74081)+E(f11(x74081,f334(f182(x74081),f334(f334(f161(x74081),x74082),x74083))),f334(f152(x74081,x74081,f114(x74081),x74082),x74083))
% 164.74/165.08 [7409]~P110(x74091)+E(f14(x74091,f334(f182(x74091),f334(f334(f161(x74091),x74092),x74093))),f334(f152(x74091,x74091,f246(x74091),x74092),x74093))
% 164.74/165.08 [7410]~P110(x74101)+E(f15(x74101,f334(f182(x74101),f334(f334(f161(x74101),x74102),x74103))),f334(f152(x74101,x74101,f247(x74101),x74102),x74103))
% 164.74/165.08 [7470]~P107(f334(f70(x74701),x74702))+P107(f334(f334(f248(a919),f334(f44(x74701),x74702)),f334(f44(x74701),f334(f334(f316(x74701),x74703),x74702))))
% 164.74/165.08 [7477]E(f334(f334(f123(f926(a919,a913)),f334(f309(a919,x74771),x74772)),f334(f309(a919,x74772),f334(f334(f89(a919),x74772),x74773))),f334(f309(a919,x74771),f334(f334(f89(a919),x74772),x74773)))+~P107(f334(f334(f248(a919),x74771),x74772))
% 164.74/165.08 [7486]P107(f334(f334(f248(a919),x74861),x74862))+~P107(f334(f334(f248(a919),f334(f334(f89(a919),x74863),x74861)),x74862))
% 164.74/165.08 [7487]P107(f334(f334(f248(a919),x74871),x74872))+~P107(f334(f334(f248(a919),f334(f334(f89(a919),x74871),x74873)),x74872))
% 164.74/165.08 [7488]P107(f334(f334(f249(a919),x74881),x74882))+~P107(f334(f334(f249(a919),f334(f334(f89(a919),x74881),x74883)),x74882))
% 164.74/165.08 [7528]~P110(x75281)+E(f12(x75281,f246(x75281),f334(f182(x75281),f334(f334(f161(x75281),x75282),x75283))),f334(f152(x75281,x75281,f246(x75281),x75282),x75283))
% 164.74/165.08 [7529]~P110(x75291)+E(f13(x75291,f247(x75291),f334(f182(x75291),f334(f334(f161(x75291),x75292),x75293))),f334(f152(x75291,x75291,f247(x75291),x75292),x75293))
% 164.74/165.08 [7533]~E(x75332,f198(f926(f925(x75331,x75331),a913)))+P107(f334(f334(f248(f926(f925(x75331,x75331),a913)),x75332),x75333))
% 164.74/165.08 [7636]E(f334(f334(f123(f926(x76361,a913)),x76362),f334(f334(f23(f926(x76361,a913)),x76363),x76362)),x76363)+~P107(f334(f334(f248(f926(x76361,a913)),x76362),x76363))
% 164.74/165.08 [7637]~P107(f334(f334(f248(a919),x76371),f334(f334(f89(a919),x76373),x76372)))+P107(f334(f334(f248(a919),f334(f334(f23(a919),x76371),x76372)),x76373))
% 164.74/165.08 [7638]~P107(f334(f334(f249(a919),x76381),f334(f334(f23(a919),x76383),x76382)))+P107(f334(f334(f249(a919),f334(f334(f89(a919),x76381),x76382)),x76383))
% 164.74/165.08 [7692]E(x76921,f126(x76922))+E(f334(f151(x76922),f334(f334(f334(f193(f920(x76922),f920(x76922)),x76923),f177(x76922)),x76921)),f334(f334(f174(x76922),x76921),f54(a919,x76923,f334(f199(f920(x76922)),x76921))))
% 164.74/165.08 [7701]E(f334(f334(f316(x77011),x77012),f334(f334(f23(f926(x77011,a913)),x77013),f334(f334(f316(x77011),x77012),f198(f926(x77011,a913))))),x77013)+~P107(f334(f334(f336(x77011),x77012),x77013))
% 164.74/165.08 [7862]P107(f334(f334(f248(a919),x78621),f334(f334(f89(a919),x78622),x78623)))+~P107(f334(f334(f248(a919),f334(f334(f23(a919),x78621),x78623)),x78622))
% 164.74/165.08 [7863]P107(f334(f334(f249(a919),x78631),f334(f334(f23(a919),x78632),x78633)))+~P107(f334(f334(f249(a919),f334(f334(f89(a919),x78631),x78633)),x78632))
% 164.74/165.08 [7887]P107(f334(f70(x78871),x78872))+~P107(f334(f70(x78871),f334(f334(f123(f926(x78871,a913)),x78873),x78872)))
% 164.74/165.08 [7888]P107(f334(f70(x78881),x78882))+~P107(f334(f70(x78881),f334(f334(f123(f926(x78881,a913)),x78882),x78883)))
% 164.74/165.08 [7964]~P48(x79641,x79643)+P107(f334(f334(f336(f925(x79641,x79641)),f334(f334(f266(x79641,x79641),x79642),x79642)),x79643))
% 164.74/165.08 [8097]E(f334(f334(f174(a919),f149(a919,f334(f309(a919,x80971),x80972))),x80973),f334(f334(f89(a919),x80971),x80973))+~P107(f334(f334(f249(a919),f334(f334(f89(a919),x80971),x80973)),x80972))
% 164.74/165.08 [8168]E(f334(f334(f185(a919),x81681),f149(a919,f334(f309(a919,x81682),x81683))),f149(a919,f334(f309(a919,x81682),f334(f334(f89(a919),x81682),x81681))))+~P107(f334(f334(f248(a919),f334(f334(f89(a919),x81682),x81681)),x81683))
% 164.74/165.08 [8224]~P97(x82241)+E(f334(f334(f258(x82241),x82242),f334(f116(a919),f334(f334(f89(a1),x82243),x82243))),f334(f334(f95(x82241,x82241),f334(f334(f258(x82241),x82242),f334(f116(a919),x82243))),f334(f334(f18(x82241,x82241,x82241),f90(x82241)),f5(x82241))))
% 164.74/165.08 [8487]E(f334(f334(f144(x84871),f334(f334(f185(x84871),x84872),x84873)),f334(f334(f161(x84871),f334(f334(f174(x84871),x84873),x84872)),f334(f334(f148(x84871),f334(a125,x84872)),x84873))),x84873)+~P107(f334(f334(f249(a919),x84872),f334(f199(f920(x84871)),x84873)))
% 164.74/165.08 [8494]P107(f334(f334(f248(f926(x84941,a913)),f322(x84941,x84942)),f322(x84941,x84943)))+~P107(f334(f334(f248(f926(x84941,f926(x84941,a913))),x84943),x84942))
% 164.74/165.08 [8495]~P55(x84951,x84952,x84953)+P55(x84951,x84952,f334(f334(f23(f926(f925(x84951,x84951),a913)),x84953),f314(x84951,f198(f926(f925(x84951,x84951),a913)))))
% 164.74/165.08 [8514]P107(f334(f334(f248(f926(x85141,a913)),f323(x85141,x85142)),f323(x85141,x85143)))+~P107(f334(f334(f248(f926(f925(x85141,x85141),a913)),x85143),x85142))
% 164.74/165.08 [8520]~P107(f334(f334(f249(f926(x85201,a913)),x85203),x85202))+P107(f334(f334(f336(x85201),f845(x85202,x85203,x85201)),f334(f334(f23(f926(x85201,a913)),x85202),x85203)))
% 164.74/165.08 [8522]~P126(x85221)+P107(f334(f334(f248(x85221),f2(x85221)),f334(f334(f89(x85221),f334(f334(f90(x85221),x85222),x85222)),f334(f334(f90(x85221),x85223),x85223))))
% 164.74/165.08 [8558]P107(f334(f334(f248(f926(x85581,a913)),f334(f289(x85581),x85582)),f334(f289(x85581),x85583)))+~P107(f334(f334(f248(f926(f925(x85581,x85581),a913)),x85582),x85583))
% 164.74/165.08 [8592]~P43(x85921,x85922)+~P107(f334(f334(f336(f925(x85921,x85921)),f334(f334(f266(x85921,x85921),x85923),x85923)),x85922))
% 164.74/165.08 [8594]~P38(x85941,x85942)+~P107(f334(f334(f336(f925(x85941,x85941)),f334(f334(f266(x85941,x85941),x85943),x85943)),x85942))
% 164.74/165.08 [8655]P107(f334(f334(f248(f926(x86551,a913)),f47(f926(x86551,a913),x86552)),f47(f926(x86551,a913),x86553)))+~P107(f334(f334(f248(f926(f926(x86551,a913),a913)),x86553),x86552))
% 164.74/165.08 [8656]P107(f334(f334(f248(f926(x86561,a913)),f46(f926(x86561,a913),x86562)),f46(f926(x86561,a913),x86563)))+~P107(f334(f334(f248(f926(f926(x86561,a913),a913)),x86562),x86563))
% 164.74/165.08 [8710]~P6(x87101,x87103,x87102)+P107(f334(f334(f248(f926(f925(x87101,x87101),a913)),x87102),f334(f334(f268(x87101,x87101),x87103),f334(f16(f926(x87101,a913),x87101),x87103))))
% 164.74/165.08 [8711]~P41(x87111,x87113,x87112)+P107(f334(f334(f248(f926(f925(x87111,x87111),a913)),x87112),f334(f334(f268(x87111,x87111),x87113),f334(f16(f926(x87111,a913),x87111),x87113))))
% 164.74/165.08 [8761]~P91(x87611)+P107(f334(f334(f248(x87611),f334(f334(f23(x87611),f334(f84(x87611),x87612)),f334(f84(x87611),x87613))),f334(f84(x87611),f334(f334(f23(x87611),x87613),x87612))))
% 164.74/165.08 [8762]~P91(x87621)+P107(f334(f334(f248(x87621),f334(f334(f23(x87621),f334(f84(x87621),x87622)),f334(f84(x87621),x87623))),f334(f84(x87621),f334(f334(f23(x87621),x87622),x87623))))
% 164.74/165.08 [8796]P107(f334(f334(f248(f926(f925(x87961,x87961),a913)),f314(x87961,x87962)),f314(x87961,x87963)))+~P107(f334(f334(f248(f926(f925(x87961,x87961),a913)),x87962),x87963))
% 164.74/165.08 [8905]~P23(x89052,x89051,x89053,f256(f926(x89052,a913)))+E(f334(f81(x89051,x89052,x89052,f101(x89052,x89051,f256(f926(x89052,a913)),x89053)),x89053),f25(x89052))
% 164.74/165.08 [8964]P55(x89641,x89642,x89643)+~P55(x89641,x89642,f334(f334(f23(f926(f925(x89641,x89641),a913)),x89643),f314(x89641,f198(f926(f925(x89641,x89641),a913)))))
% 164.74/165.08 [8984]P107(f334(f334(f248(f926(f925(f920(x89841),f920(x89841)),a913)),f167(x89841,x89842)),f167(x89841,x89843)))+~P107(f334(f334(f248(f926(f925(x89841,x89841),a913)),x89842),x89843))
% 164.74/165.08 [8985]P107(f334(f334(f248(f926(f925(f920(x89851),f920(x89851)),a913)),f168(x89851,x89852)),f168(x89851,x89853)))+~P107(f334(f334(f248(f926(f925(x89851,x89851),a913)),x89852),x89853))
% 164.74/165.08 [9006]~P41(x90061,x90063,x90062)+P107(f334(f334(f248(f926(f925(x90061,x90061),a913)),x90062),f334(f334(f296(x90061,x90061,x90061),f334(f294(x90061,x90061),x90062)),x90062)))
% 164.74/165.08 [9060]~P107(f334(f147(x90601),x90602))+E(f334(f146(x90601,f334(f334(f7(x90601,f926(x90601,a913),a913),f336(x90601)),f334(f182(x90601),f186(x90601,x90602,x90603)))),x90602),f186(x90601,x90602,x90603))
% 164.74/165.08 [9121]E(x91211,x91212)+~P107(f334(f334(f336(f925(x91213,x91213)),f334(f334(f266(x91213,x91213),x91211),x91212)),f314(x91213,f198(f926(f925(x91213,x91213),a913)))))
% 164.74/165.08 [9208]P107(f334(f334(f336(x92081),x92082),f323(x92081,x92083)))+P107(f334(f334(f336(f925(x92081,x92081)),f334(f334(f266(x92081,x92081),f613(x92083,x92082,x92081)),x92082)),x92083))
% 164.74/165.08 [9209]P107(f334(f334(f336(x92091),x92092),f323(x92091,x92093)))+P107(f334(f334(f336(f925(x92091,x92091)),f334(f334(f266(x92091,x92091),f642(x92093,x92092,x92091)),x92092)),x92093))
% 164.74/165.08 [9210]P107(f334(f334(f336(x92101),x92102),f323(x92101,x92103)))+P107(f334(f334(f336(f925(x92101,x92101)),f334(f334(f266(x92101,x92101),f645(x92103,x92102,x92101)),x92102)),x92103))
% 164.74/165.08 [9246]P23(x92461,x92462,x92463,f256(f926(x92461,a913)))+~E(f334(f81(x92462,x92461,x92461,f101(x92461,x92462,f256(f926(x92461,a913)),x92463)),x92463),f25(x92461))
% 164.74/165.08 [9302]~P107(f334(f334(f336(f920(x93021)),x93023),f171(x93021,x93022)))+P107(f334(f170(x93021,f334(f334(f7(x93021,f926(x93021,a913),a913),f336(x93021)),x93022)),x93023))
% 164.74/165.08 [9322]P107(f334(x93223,x93222))+E(f334(f254(x93221),f334(f334(f18(x93221,a913,a913),f334(f334(f8(a913,f926(a913,a913),x93221),a333),f334(a331,x93222))),x93223)),f198(f926(x93221,a913)))
% 164.74/165.08 [9339]~P91(x93391)+P107(f334(f334(f248(x93391),f334(f84(x93391),f334(f334(f23(x93391),f334(f84(x93391),x93392)),f334(f84(x93391),x93393)))),f334(f84(x93391),f334(f334(f23(x93391),x93392),x93393))))
% 164.74/165.08 [9353]~P107(f334(x93533,x93532))+E(f334(f254(x93531),f334(f334(f18(x93531,a913,a913),f334(f334(f8(a913,f926(a913,a913),x93531),a333),f334(a331,x93532))),x93533)),f334(f334(f316(x93531),x93532),f198(f926(x93531,a913))))
% 164.74/165.08 [9360]~P107(f334(f334(f336(f926(x93601,a913)),x93603),f334(f315(x93601),x93602)))+P107(f334(f261(x93601,f334(f334(f7(x93601,f926(x93601,a913),a913),f336(x93601)),x93602)),x93603))
% 164.74/165.08 [9394]P38(x93941,x93942)+P107(f334(f334(f336(f925(x93941,x93941)),f334(f334(f266(x93941,x93941),f334(f355(x93942,x93941),f334(a125,x93943))),f334(f355(x93942,x93941),x93943))),x93942))
% 164.74/165.08 [9542]P107(f334(f334(f336(f920(x95421)),x95422),f171(x95421,x95423)))+~P107(f334(f170(x95421,f334(f334(f7(x95421,f926(x95421,a913),a913),f336(x95421)),x95423)),x95422))
% 164.74/165.08 [9555]P107(f334(f334(f336(f926(x95551,a913)),x95552),f334(f315(x95551),x95553)))+~P107(f334(f261(x95551,f334(f334(f7(x95551,f926(x95551,a913),a913),f336(x95551)),x95553)),x95552))
% 164.74/165.08 [9617]P107(f334(f334(f336(x96171),f334(f278(x96171,x96172),x96173)),f334(f182(x96171),f334(f334(f164(f925(a112,x96171),x96171),f269(a112,x96171)),x96172))))+~P107(f334(f334(f249(a112),x96173),f334(f175(a112),f334(f334(f164(f925(a112,x96171),a112),f265(a112,x96171)),x96172))))
% 164.74/165.08 [9664]P107(f334(f334(f248(f926(f925(f920(x96641),f920(x96641)),a913)),f168(x96641,x96642)),f334(f334(f268(f920(x96641),f920(x96641)),f171(x96641,x96643)),f334(f16(f926(f920(x96641),a913),f920(x96641)),f171(x96641,x96643)))))+~P107(f334(f334(f248(f926(f925(x96641,x96641),a913)),x96642),f334(f334(f268(x96641,x96641),x96643),f334(f16(f926(x96641,a913),x96641),x96643))))
% 164.74/165.08 [9691]P107(f334(f334(f336(x96911),f334(f265(x96911,f925(a112,a112)),f334(f276(x96911,x96912),x96913))),f334(f182(x96911),f334(f334(f164(f925(a112,x96911),x96911),f269(a112,x96911)),x96912))))+~P107(f334(f334(f249(a112),f2(a112)),f334(f175(a112),f334(f334(f164(f925(a112,x96911),a112),f265(a112,x96911)),x96912))))
% 164.74/165.08 [9713]~P107(f334(f334(f248(f926(f925(x97131,x97131),a913)),x97132),f334(f334(f268(x97131,x97131),x97133),f334(f16(f926(x97131,a913),x97131),x97133))))+P107(f334(f334(f248(f926(f925(x97131,x97131),a913)),f334(f334(f296(x97131,x97131,x97131),x97132),f314(x97131,x97132))),f334(f334(f268(x97131,x97131),x97133),f334(f16(f926(x97131,a913),x97131),x97133))))
% 164.74/165.08 [10016]~P38(x100161,x100162)+~P107(f334(f334(f336(f925(x100161,x100161)),f334(f334(f266(x100161,x100161),f334(x100163,f334(a125,f358(x100162,x100161,x100163)))),f334(x100163,f358(x100162,x100161,x100163)))),x100162))
% 164.74/165.08 [10017]~P38(x100171,x100172)+~P107(f334(f334(f336(f925(x100171,x100171)),f334(f334(f266(x100171,x100171),f334(x100173,f334(a125,f365(x100173,x100172,x100171)))),f334(x100173,f365(x100173,x100172,x100171)))),x100172))
% 164.74/165.08 [10269]P107(f334(f334(f248(f926(f925(f926(x102691,a913),f926(x102691,a913)),a913)),f334(f334(f296(f926(x102691,a913),f926(x102691,a913),f926(x102691,a913)),f325(x102691,x102692)),f334(f334(f123(f926(f925(f926(x102691,a913),f926(x102691,a913)),a913)),f325(x102691,x102693)),f334(f334(f316(f925(f926(x102691,a913),f926(x102691,a913))),f334(f334(f266(f926(x102691,a913),f926(x102691,a913)),f198(f926(x102691,a913))),f198(f926(x102691,a913)))),f198(f926(f925(f926(x102691,a913),f926(x102691,a913)),a913)))))),f325(x102691,x102692)))+~P107(f334(f334(f248(f926(f925(x102691,x102691),a913)),f334(f334(f296(x102691,x102691,x102691),x102692),x102693)),x102692))
% 164.74/165.08 [10270]P107(f334(f334(f248(f926(f925(f926(x102701,a913),f926(x102701,a913)),a913)),f334(f334(f296(f926(x102701,a913),f926(x102701,a913),f926(x102701,a913)),f326(x102701,x102702)),f334(f334(f123(f926(f925(f926(x102701,a913),f926(x102701,a913)),a913)),f326(x102701,x102703)),f334(f334(f316(f925(f926(x102701,a913),f926(x102701,a913))),f334(f334(f266(f926(x102701,a913),f926(x102701,a913)),f198(f926(x102701,a913))),f198(f926(x102701,a913)))),f198(f926(f925(f926(x102701,a913),f926(x102701,a913)),a913)))))),f326(x102701,x102702)))+~P107(f334(f334(f248(f926(f925(x102701,x102701),a913)),f334(f334(f296(x102701,x102701,x102701),x102702),x102703)),x102702))
% 164.74/165.08 [7406]~P107(f334(f334(f248(a919),x74062),x74061))+E(f334(f334(f23(a919),f334(a125,f334(f334(f23(a919),x74061),x74062))),x74063),f334(f334(f23(a919),f334(a125,x74061)),f334(f334(f89(a919),x74062),x74063)))
% 164.74/165.08 [7445]~P60(x74451)+E(f334(f334(f89(x74451),f54(x74451,x74452,x74453)),f334(f334(f90(x74451),f334(f334(f45(x74451),x74452),x74453)),x74453)),x74452)
% 164.74/165.08 [7642]E(f334(f334(f90(a919),f334(f116(a919),x76421)),f334(f334(f90(a919),f334(f116(a919),x76422)),x76423)),f334(f334(f90(a919),f334(f116(a919),f334(f334(f90(a1),x76421),x76422))),x76423))+P107(f334(f334(f249(a1),x76421),a92))
% 164.74/165.08 [8106]~P107(f334(f334(f248(a919),x81063),x81062))+P107(f334(f334(f248(a919),x81061),f334(f334(f23(a919),f334(f334(f89(a919),x81062),x81061)),x81063)))
% 164.74/165.08 [8309]~P107(f334(f334(f248(a919),x83091),x83092))+E(f334(f334(f144(a919),f149(a919,f334(f309(a919,x83091),x83092))),f149(a919,f334(f309(a919,x83092),f334(f334(f89(a919),x83092),x83093)))),f149(a919,f334(f309(a919,x83091),f334(f334(f89(a919),x83092),x83093))))
% 164.74/165.08 [8568]~P107(f334(f70(x85681),x85682))+E(f334(a125,f334(f44(x85681),f334(f334(f23(f926(x85681,a913)),x85682),f334(f334(f316(x85681),x85683),f198(f926(x85681,a913)))))),f334(f44(x85681),f334(f334(f316(x85681),x85683),x85682)))
% 164.74/165.08 [8614]~P107(f334(f70(x86141),x86142))+E(f334(f334(f89(a919),f87(a919)),f334(f44(x86141),f334(f334(f23(f926(x86141,a913)),x86142),f334(f334(f316(x86141),x86143),f198(f926(x86141,a913)))))),f334(f44(x86141),f334(f334(f316(x86141),x86143),x86142)))
% 164.74/165.08 [8804]E(f334(f334(f23(a919),f334(f44(x88041),x88042)),f334(f44(x88041),f334(f334(f114(f926(x88041,a913)),x88042),x88043))),f334(f44(x88041),f334(f334(f23(f926(x88041,a913)),x88042),x88043)))+~P107(f334(f70(x88041),f334(f334(f114(f926(x88041,a913)),x88042),x88043)))
% 164.74/165.08 [9055]~P4(f334(x90552,f500(x90552,x90553,x90551)))+E(f334(f113(a1),f334(f334(f6(x90551,a919),f334(f334(f8(a1,a919,x90551),a117),x90552)),x90553)),f334(f334(f6(x90551,a1),x90552),x90553))
% 164.74/165.08 [9056]~P4(f334(x90562,f544(x90562,x90563,x90561)))+E(f334(f113(a1),f334(f334(f9(x90561,a919),f334(f334(f8(a1,a919,x90561),a117),x90562)),x90563)),f334(f334(f9(x90561,a1),x90562),x90563))
% 164.74/165.08 [9103]~P107(f334(f70(x91031),x91033))+P107(f334(f334(f248(a919),f334(f334(f23(a919),f334(f44(x91031),x91032)),f334(f44(x91031),x91033))),f334(f44(x91031),f334(f334(f23(f926(x91031,a913)),x91032),x91033))))
% 164.74/165.08 [9129]P107(f334(f334(f336(x91291),f500(x91292,x91293,x91291)),x91293))+E(f334(f113(a1),f334(f334(f6(x91291,a919),f334(f334(f8(a1,a919,x91291),a117),x91292)),x91293)),f334(f334(f6(x91291,a1),x91292),x91293))
% 164.74/165.08 [9130]P107(f334(f334(f336(x91301),f544(x91302,x91303,x91301)),x91303))+E(f334(f113(a1),f334(f334(f9(x91301,a919),f334(f334(f8(a1,a919,x91301),a117),x91302)),x91303)),f334(f334(f9(x91301,a1),x91302),x91303))
% 164.74/165.08 [9200]E(f94(x92001,f334(f334(f7(x92001,f926(x92001,a913),a913),f336(x92001)),f334(f334(f23(f926(x92001,a913)),x92002),f334(f334(f316(x92001),x92003),f198(f926(x92001,a913)))))),f260(x92001,x92003,x92002))+P107(f334(f334(f248(f926(x92001,a913)),x92002),f334(f334(f316(x92001),x92003),f198(f926(x92001,a913)))))
% 164.74/165.08 [9556]E(f334(f334(f164(f920(x95561),x95561),f334(f334(f7(f920(x95561),a919,x95561),f174(x95561)),x95562)),f334(f146(f920(x95561),f334(f334(f8(a919,a913,f920(x95561)),f334(f249(a919),x95562)),f199(f920(x95561)))),x95563)),f334(f334(f174(f920(x95561)),f189(x95561,x95563)),x95562))+~P107(f334(f334(f249(a919),x95562),f334(f199(f920(f920(x95561))),f189(x95561,x95563))))
% 164.74/165.08 [9636]E(f334(f146(x96361,x96362),x96363),f187(x96361,x96362,x96363))+P107(f334(f334(f336(x96361),f783(x96363,x96362,x96361)),f334(f182(x96361),f334(f334(f148(x96361),f334(f199(f920(x96361)),f187(x96361,x96362,x96363))),x96363))))
% 164.74/165.08 [9788]E(f334(f334(f148(x97881),f334(f199(f920(x97881)),f187(x97881,x97882,x97883))),x97883),f126(x97881))+~P107(f334(x97882,f334(f151(x97881),f334(f334(f148(x97881),f334(f199(f920(x97881)),f187(x97881,x97882,x97883))),x97883))))
% 164.74/165.08 [9879]~P107(f334(f334(f336(f925(x98791,x98791)),x98792),f314(x98791,x98793)))+P107(f334(f334(f336(f925(x98791,x98791)),x98792),f334(f334(f48(a919,f926(f925(x98791,x98791),a913)),f256(f926(a919,a913))),f334(f334(f7(a919,f926(f925(x98791,x98791),a913),f926(f925(x98791,x98791),a913)),f193(f925(x98791,x98791),a913)),x98793))))
% 164.74/165.08 [9940]~P107(f334(f334(f248(f926(x99401,a913)),f334(f334(f48(a919,f926(x99401,a913)),f334(f309(a919,f2(a919)),f503(x99403,x99402,x99401))),x99402)),x99403))+P107(f334(f334(f248(f926(x99401,a913)),f334(f334(f48(a919,f926(x99401,a913)),f256(f926(a919,a913))),x99402)),x99403))
% 164.74/165.08 [9991]~P107(f334(f334(f249(a1),f2(a1)),x99913))+P107(f334(f334(f249(a1),x99911),f334(f334(f89(a1),x99912),f334(f334(f90(a1),f334(f334(f89(a1),f334(f84(a1),f334(f334(f23(a1),x99912),x99911))),f87(a1))),x99913))))
% 164.74/165.08 [10003]~P38(x100031,f334(f334(f123(f926(f925(x100031,x100031),a913)),x100032),x100033))+P38(x100031,f334(f334(f123(f926(f925(x100031,x100031),a913)),f334(f334(f123(f926(f925(x100031,x100031),a913)),f334(f334(f296(x100031,x100031,x100031),x100032),x100032)),f334(f334(f296(x100031,x100031,x100031),x100033),x100032))),x100033))
% 164.74/165.08 [10083]P38(x100831,f334(f334(f123(f926(f925(x100831,x100831),a913)),x100832),x100833))+~P38(x100831,f334(f334(f123(f926(f925(x100831,x100831),a913)),f334(f334(f123(f926(f925(x100831,x100831),a913)),f334(f334(f296(x100831,x100831,x100831),x100832),x100832)),f334(f334(f296(x100831,x100831,x100831),x100833),x100832))),x100833))
% 164.74/165.08 [9640]~P142(x96401)+E(f334(f115(x96401),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x96402),x96403)),f198(f926(f925(a919,a919),a913)))))),f334(f334(f23(x96401),f334(f113(x96401),x96402)),f334(f113(x96401),x96403)))
% 164.74/165.08 [9733]P107(f334(x97333,x97332))+E(f334(f254(x97331),f334(f334(f18(x97331,a913,a913),f334(f334(f8(a913,f926(a913,a913),x97331),a333),f334(f334(f7(x97331,x97331,a913),a331),x97332))),x97333)),f198(f926(x97331,a913)))
% 164.74/165.08 [9735]~P107(f334(x97353,x97352))+E(f334(f254(x97351),f334(f334(f18(x97351,a913,a913),f334(f334(f8(a913,f926(a913,a913),x97351),a333),f334(f334(f7(x97351,x97351,a913),a331),x97352))),x97353)),f334(f334(f316(x97351),x97352),f198(f926(x97351,a913))))
% 164.74/165.08 [9970]E(x99701,x99702)+P107(f334(f334(f257(x99703,x99703,f334(f334(f8(f926(x99703,a913),f926(x99703,a913),x99703),f334(f8(a913,a913,x99703),a329)),a331)),x99701),x99702))
% 164.74/165.08 [10063]~E(x100631,x100632)+~P107(f334(f334(f257(x100633,x100633,f334(f334(f8(f926(x100633,a913),f926(x100633,a913),x100633),f334(f8(a913,a913,x100633),a329)),a331)),x100631),x100632))
% 164.74/165.08 [10075]~P107(f334(f70(x100751),x100753))+E(f334(f334(f73(x100751,f926(x100751,a913),f334(f334(f8(f926(x100751,a913),f926(f926(x100751,a913),f926(x100751,a913)),x100751),f334(f7(f926(x100751,a913),f926(x100751,a913),f926(x100751,a913)),f23(f926(x100751,a913)))),f334(f334(f7(x100751,f926(x100751,a913),f926(x100751,a913)),f316(x100751)),f198(f926(x100751,a913))))),x100752),x100753),f334(f334(f23(f926(x100751,a913)),x100752),x100753))
% 164.74/165.08 [10109]~P107(f334(f334(f249(a1),f2(a1)),x101093))+P107(f334(f334(f249(a1),f334(f334(f23(a1),x101091),f334(f334(f90(a1),f334(f334(f89(a1),f334(f84(a1),f334(f334(f23(a1),x101091),x101092))),f87(a1))),x101093))),x101092))
% 164.74/165.08 [10348]~P107(f334(f334(f336(x103481),x103483),f323(x103481,x103482)))+P107(f334(f322(x103481,f334(f334(f7(x103481,f926(f925(x103481,x103481),a913),f926(x103481,a913)),f334(f334(f8(f926(x103481,f926(f926(f925(x103481,x103481),a913),a913)),f926(f926(f925(x103481,x103481),a913),f926(x103481,a913)),x103481),f7(x103481,f926(f925(x103481,x103481),a913),a913)),f334(f334(f8(f926(x103481,f925(x103481,x103481)),f926(x103481,f926(f926(f925(x103481,x103481),a913),a913)),x103481),f334(f8(f925(x103481,x103481),f926(f926(f925(x103481,x103481),a913),a913),x103481),f336(f925(x103481,x103481)))),f266(x103481,x103481)))),x103482)),x103483))
% 164.74/165.08 [10362]P107(f334(f334(f336(x103621),x103622),f323(x103621,x103623)))+~P107(f334(f322(x103621,f334(f334(f7(x103621,f926(f925(x103621,x103621),a913),f926(x103621,a913)),f334(f334(f8(f926(x103621,f926(f926(f925(x103621,x103621),a913),a913)),f926(f926(f925(x103621,x103621),a913),f926(x103621,a913)),x103621),f7(x103621,f926(f925(x103621,x103621),a913),a913)),f334(f334(f8(f926(x103621,f925(x103621,x103621)),f926(x103621,f926(f926(f925(x103621,x103621),a913),a913)),x103621),f334(f8(f925(x103621,x103621),f926(f926(f925(x103621,x103621),a913),a913),x103621),f336(f925(x103621,x103621)))),f266(x103621,x103621)))),x103623)),x103622))
% 164.74/165.08 [9938]~P107(f334(f70(x99381),f334(f254(x99381),x99383)))+P107(f334(f70(x99381),f334(f254(x99381),f334(f334(f18(x99381,a913,a913),f334(f334(f8(a913,f926(a913,a913),x99381),a333),x99382)),x99383))))
% 164.74/165.08 [9939]~P107(f334(f70(x99391),f334(f254(x99391),x99392)))+P107(f334(f70(x99391),f334(f254(x99391),f334(f334(f18(x99391,a913,a913),f334(f334(f8(a913,f926(a913,a913),x99391),a333),x99392)),x99393))))
% 164.74/165.08 [10036]P107(f334(f70(x100361),f334(f254(x100361),x100362)))+~P107(f334(f70(x100361),f334(f254(x100361),f334(f334(f18(x100361,a913,a913),f334(f334(f8(a913,f926(a913,a913),x100361),a332),x100363)),x100362))))
% 164.74/165.08 [10037]P107(f334(f70(x100371),f334(f254(x100371),x100372)))+~P107(f334(f70(x100371),f334(f254(x100371),f334(f334(f18(x100371,a913,a913),f334(f334(f8(a913,f926(a913,a913),x100371),a332),x100372)),x100373))))
% 164.74/165.08 [10325]~P107(f334(f70(x103251),x103252))+P107(f334(f70(f920(x103251)),f334(f254(f920(x103251)),f334(f334(f18(f920(x103251),a913,a913),f334(f334(f8(a913,f926(a913,a913),f920(x103251)),a333),f334(f334(f7(f920(x103251),f926(x103251,a913),a913),f334(f334(f8(f926(x103251,a913),f926(f926(x103251,a913),a913),f920(x103251)),f248(f926(x103251,a913))),f182(x103251))),x103252))),f334(f334(f7(f920(x103251),a919,a913),f334(f334(f8(a919,f926(a919,a913),f920(x103251)),a331),f199(f920(x103251)))),x103253)))))
% 164.74/165.08 [10326]~P107(f334(f70(x103261),x103262))+P107(f334(f70(f920(x103261)),f334(f254(f920(x103261)),f334(f334(f18(f920(x103261),a913,a913),f334(f334(f8(a913,f926(a913,a913),f920(x103261)),a333),f334(f334(f7(f920(x103261),f926(x103261,a913),a913),f334(f334(f8(f926(x103261,a913),f926(f926(x103261,a913),a913),f920(x103261)),f248(f926(x103261,a913))),f182(x103261))),x103262))),f334(f334(f7(f920(x103261),a919,a913),f334(f334(f8(a919,f926(a919,a913),f920(x103261)),f248(a919)),f199(f920(x103261)))),x103263)))))
% 164.74/165.08 [10052]~P119(x100521)+E(f334(f334(f258(x100521),x100522),f334(f334(f90(a919),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x100523)),f334(f334(f90(x100521),f334(f334(f258(x100521),x100522),x100523)),f334(f334(f258(x100521),x100522),x100523)))
% 164.74/165.08 [10088]~P81(x100881)+E(f334(f334(f258(x100881),f334(f334(f258(x100881),x100882),x100883)),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f334(f334(f258(x100881),x100882),f334(f334(f90(a919),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x100883)))
% 164.74/165.08 [10136]~P142(x101361)+E(f334(f334(f258(x101361),f334(f88(x101361),x101362)),f334(f334(f90(a919),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x101363)),f334(f334(f258(x101361),x101362),f334(f334(f90(a919),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x101363)))
% 164.74/165.08 [10277]~P122(x102771)+P107(f334(f334(f248(x102771),f2(x102771)),f334(f334(f89(x102771),f334(f334(f258(x102771),x102772),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f334(f258(x102771),x102773),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))))
% 164.74/165.08 [10146]~P119(x101461)+E(f334(f334(f258(x101461),x101462),f334(a125,f334(f334(f90(a919),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x101463))),f334(f334(f90(x101461),x101462),f334(f334(f90(x101461),f334(f334(f258(x101461),x101462),x101463)),f334(f334(f258(x101461),x101462),x101463))))
% 164.74/165.08 [10197]~P81(x101971)+E(f334(f334(f90(x101971),x101972),f334(f334(f258(x101971),f334(f334(f258(x101971),x101972),x101973)),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f334(f258(x101971),x101972),f334(a125,f334(f334(f90(a919),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x101973))))
% 164.74/165.08 [10233]~P122(x102331)+P107(f334(f334(f248(x102331),f2(x102331)),f334(f334(f258(x102331),x102332),f334(f334(f90(a919),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x102333))))
% 164.74/165.08 [10303]~P97(x103031)+E(f334(f334(f23(x103031),f334(f334(f89(x103031),f334(f334(f258(x103031),x103032),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f334(f258(x103031),x103033),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))),f334(f334(f90(x103031),f334(f334(f90(x103031),f334(f116(x103031),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x103032)),x103033)),f334(f334(f258(x103031),f334(f334(f23(x103031),x103032),x103033)),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))
% 164.74/165.08 [10304]~P97(x103041)+E(f334(f334(f89(x103041),f334(f334(f89(x103041),f334(f334(f258(x103041),x103042),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f334(f258(x103041),x103043),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))),f334(f334(f90(x103041),f334(f334(f90(x103041),f334(f116(x103041),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x103042)),x103043)),f334(f334(f258(x103041),f334(f334(f89(x103041),x103042),x103043)),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))
% 164.74/165.08 [10418]~P29(x104181,x104182,x104183)+P107(f108(x104181,a913,f334(f334(f8(f926(a915,f926(f926(x104181,f926(a914,a913)),f926(x104181,a913))),f926(a915,f926(f926(x104181,f926(a914,a913)),a913)),f926(x104181,f926(a914,a913))),f334(f8(f926(f926(x104181,f926(a914,a913)),f926(x104181,a913)),f926(f926(x104181,f926(a914,a913)),a913),a915),f334(f8(f926(x104181,a913),a913,f926(x104181,f926(a914,a913))),f97(x104181)))),f334(f334(f8(f926(a915,f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913)))),f926(a915,f926(f926(x104181,f926(a914,a913)),f926(x104181,a913))),f926(x104181,f926(a914,a913))),f334(f8(f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913))),f926(f926(x104181,f926(a914,a913)),f926(x104181,a913)),a915),f334(f8(f926(x104181,f926(a914,a913)),f926(x104181,a913),f926(x104181,f926(a914,a913))),f334(f8(f926(a914,a913),a913,x104181),f97(a914))))),f334(f334(f7(f926(x104181,f926(a914,a913)),f926(a915,f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913)))),f926(a915,f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913))))),f334(f334(f8(f926(f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913))),f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913)))),f926(f926(a915,f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913)))),f926(a915,f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913))))),f926(x104181,f926(a914,a913))),f8(f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913))),f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913))),a915)),f334(f334(f8(f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913))),f926(f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913))),f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913)))),f926(x104181,f926(a914,a913))),f8(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913)))),f334(f334(f8(f926(x104181,f926(f926(a914,a913),f926(a914,a913))),f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913))),f926(x104181,f926(a914,a913))),f18(x104181,f926(a914,a913),f926(a914,a913))),f334(f334(f8(f926(x104181,f926(a914,f926(a913,a913))),f926(x104181,f926(f926(a914,a913),f926(a914,a913))),f926(x104181,f926(a914,a913))),f334(f8(f926(a914,f926(a913,a913)),f926(f926(a914,a913),f926(a914,a913)),x104181),f18(a914,a913,a913))),f334(f8(f926(a914,a913),f926(a914,f926(a913,a913)),x104181),f334(f8(a913,f926(a913,a913),a914),a337))))))),f334(f334(f8(f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,f926(a914,a913)))),f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913))),a915),f334(f8(f926(x104181,f926(a914,f926(a914,a913))),f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,a913))),f334(f8(f926(a914,f926(a914,a913)),f926(a914,a913),x104181),f334(f8(f926(a914,a913),a913,a914),f97(a914))))),f334(f334(f8(f926(f926(a914,a913),f926(a914,f926(a914,a913))),f926(f926(x104181,f926(a914,a913)),f926(x104181,f926(a914,f926(a914,a913)))),a915),f8(f926(a914,a913),f926(a914,f926(a914,a913)),x104181)),f334(f334(f8(f926(a914,f926(f926(a914,a913),f926(a914,a913))),f926(f926(a914,a913),f926(a914,f926(a914,a913))),a915),f7(a914,f926(a914,a913),f926(a914,a913))),f334(f334(f8(f926(a914,f926(a914,f926(a913,a913))),f926(a914,f926(f926(a914,a913),f926(a914,a913))),a915),f334(f8(f926(a914,f926(a913,a913)),f926(f926(a914,a913),f926(a914,a913)),a914),f18(a914,a913,a913))),f334(f334(f8(f926(a914,f926(a914,a913)),f926(a914,f926(a914,f926(a913,a913))),a915),f334(f8(f926(a914,a913),f926(a914,f926(a913,a913)),a914),f334(f8(a913,f926(a913,a913),a914),a337))),f334(f334(f7(a915,a919,f926(a914,f926(a914,a913))),f334(f334(f8(f926(a914,f926(a919,f926(a914,a913))),f926(a919,f926(a914,f926(a914,a913))),a915),f7(a914,a919,f926(a914,a913))),a206)),x104182))))))))),x104183))
% 164.74/165.08 [10420]P29(x104201,x104202,x104203)+~P107(f108(x104201,a913,f334(f334(f8(f926(a915,f926(f926(x104201,f926(a914,a913)),f926(x104201,a913))),f926(a915,f926(f926(x104201,f926(a914,a913)),a913)),f926(x104201,f926(a914,a913))),f334(f8(f926(f926(x104201,f926(a914,a913)),f926(x104201,a913)),f926(f926(x104201,f926(a914,a913)),a913),a915),f334(f8(f926(x104201,a913),a913,f926(x104201,f926(a914,a913))),f97(x104201)))),f334(f334(f8(f926(a915,f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913)))),f926(a915,f926(f926(x104201,f926(a914,a913)),f926(x104201,a913))),f926(x104201,f926(a914,a913))),f334(f8(f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913))),f926(f926(x104201,f926(a914,a913)),f926(x104201,a913)),a915),f334(f8(f926(x104201,f926(a914,a913)),f926(x104201,a913),f926(x104201,f926(a914,a913))),f334(f8(f926(a914,a913),a913,x104201),f97(a914))))),f334(f334(f7(f926(x104201,f926(a914,a913)),f926(a915,f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913)))),f926(a915,f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913))))),f334(f334(f8(f926(f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913))),f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913)))),f926(f926(a915,f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913)))),f926(a915,f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913))))),f926(x104201,f926(a914,a913))),f8(f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913))),f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913))),a915)),f334(f334(f8(f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913))),f926(f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913))),f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913)))),f926(x104201,f926(a914,a913))),f8(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913)))),f334(f334(f8(f926(x104201,f926(f926(a914,a913),f926(a914,a913))),f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913))),f926(x104201,f926(a914,a913))),f18(x104201,f926(a914,a913),f926(a914,a913))),f334(f334(f8(f926(x104201,f926(a914,f926(a913,a913))),f926(x104201,f926(f926(a914,a913),f926(a914,a913))),f926(x104201,f926(a914,a913))),f334(f8(f926(a914,f926(a913,a913)),f926(f926(a914,a913),f926(a914,a913)),x104201),f18(a914,a913,a913))),f334(f8(f926(a914,a913),f926(a914,f926(a913,a913)),x104201),f334(f8(a913,f926(a913,a913),a914),a337))))))),f334(f334(f8(f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,f926(a914,a913)))),f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913))),a915),f334(f8(f926(x104201,f926(a914,f926(a914,a913))),f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,a913))),f334(f8(f926(a914,f926(a914,a913)),f926(a914,a913),x104201),f334(f8(f926(a914,a913),a913,a914),f97(a914))))),f334(f334(f8(f926(f926(a914,a913),f926(a914,f926(a914,a913))),f926(f926(x104201,f926(a914,a913)),f926(x104201,f926(a914,f926(a914,a913)))),a915),f8(f926(a914,a913),f926(a914,f926(a914,a913)),x104201)),f334(f334(f8(f926(a914,f926(f926(a914,a913),f926(a914,a913))),f926(f926(a914,a913),f926(a914,f926(a914,a913))),a915),f7(a914,f926(a914,a913),f926(a914,a913))),f334(f334(f8(f926(a914,f926(a914,f926(a913,a913))),f926(a914,f926(f926(a914,a913),f926(a914,a913))),a915),f334(f8(f926(a914,f926(a913,a913)),f926(f926(a914,a913),f926(a914,a913)),a914),f18(a914,a913,a913))),f334(f334(f8(f926(a914,f926(a914,a913)),f926(a914,f926(a914,f926(a913,a913))),a915),f334(f8(f926(a914,a913),f926(a914,f926(a913,a913)),a914),f334(f8(a913,f926(a913,a913),a914),a337))),f334(f334(f7(a915,a919,f926(a914,f926(a914,a913))),f334(f334(f8(f926(a914,f926(a919,f926(a914,a913))),f926(a919,f926(a914,f926(a914,a913))),a915),f7(a914,a919,f926(a914,a913))),a206)),x104202))))))))),x104203))
% 164.74/165.08 [4845]E(x48451,x48452)+~E(f28(x48453,x48451),f28(x48454,x48452))
% 164.74/165.08 [4846]E(x48461,x48462)+~E(f28(x48461,x48463),f28(x48462,x48464))
% 164.74/165.08 [4847]E(x48471,x48472)+~E(f34(x48473,x48471),f34(x48474,x48472))
% 164.74/165.08 [4848]E(x48481,x48482)+~E(f34(x48481,x48483),f34(x48482,x48484))
% 164.74/165.08 [4849]E(x48491,x48492)+~E(f33(x48493,x48491),f33(x48494,x48492))
% 164.74/165.08 [4850]E(x48501,x48502)+~E(f33(x48501,x48503),f33(x48502,x48504))
% 164.74/165.08 [7906]P23(x79061,x79062,x79063,x79064)+~E(f781(x79064,x79063,x79062,x79061),f788(x79064,x79063,x79062,x79061))
% 164.74/165.08 [8202]P35(x82021,x82022,x82023,x82024,f126(x82022))+~E(x82024,f126(x82021))
% 164.74/165.08 [8203]P35(x82031,x82032,x82033,f126(x82031),x82034)+~E(x82034,f126(x82032))
% 164.74/165.08 [8751]~P35(x87512,x87513,x87514,x87511,f126(x87513))+E(x87511,f126(x87512))
% 164.74/165.08 [8752]~P35(x87523,x87522,x87524,f126(x87523),x87521)+E(x87521,f126(x87522))
% 164.74/165.08 [5216]~P15(x52163,x52161,x52164)+E(f334(f334(x52161,x52162),x52162),x52162)
% 164.74/165.08 [5470]P107(f334(x54702,x54704))+E(f334(f146(x54701,x54702),f179(x54701,x54703,x54704)),f126(x54701))
% 164.74/165.08 [5503]~E(x55034,f198(f926(x55031,a913)))+E(f334(f317(x55031,x55032,x55033),x55034),f198(f926(x55032,a913)))
% 164.74/165.08 [5738]~P107(f334(x57382,x57384))+E(f334(f146(x57381,x57382),f179(x57381,x57383,x57384)),f179(x57381,x57383,x57384))
% 164.74/165.08 [5767]~E(f334(f317(x57672,x57673,x57674),x57671),f198(f926(x57673,a913)))+E(x57671,f198(f926(x57672,a913)))
% 164.74/165.08 [6050]~P110(x60502)+E(f334(f334(f158(x60501,x60502,x60503),x60504),f126(x60501)),f334(f334(f161(x60501),x60504),f126(x60501)))
% 164.74/165.08 [6412]~E(x64121,f198(f926(x64122,a913)))+~P107(f334(f71(x64122,x64123,x64121),x64124))
% 164.74/165.08 [6434]~P58(x64341,x64343,x64344,x64342)+P107(f334(f70(x64341),x64342))
% 164.74/165.08 [6435]~P58(x64351,x64353,x64352,x64354)+P107(f334(f70(x64351),x64352))
% 164.74/165.08 [6441]~P58(x64412,x64413,x64414,x64411)+~E(x64411,f198(f926(x64412,a913)))
% 164.74/165.08 [6472]~P111(x64721)+E(f334(f334(f114(f926(x64721,a913)),f334(f309(x64721,x64722),x64723)),f310(x64721,x64723,x64724)),f198(f926(x64721,a913)))
% 164.74/165.08 [6498]~P107(f334(f334(x64983,x64984),x64982))+P107(f334(f334(f336(x64981),x64982),f300(x64981,x64983,x64984)))
% 164.74/165.08 [6499]~P107(f334(f334(x64993,x64994),x64992))+P107(f334(f334(f336(x64991),x64992),f301(x64991,x64993,x64994)))
% 164.74/165.08 [6500]~P107(f334(f334(x65003,x65002),x65004))+P107(f334(f334(f336(x65001),x65002),f305(x65001,x65003,x65004)))
% 164.74/165.08 [6501]~P107(f334(f334(x65013,x65012),x65014))+P107(f334(f334(f336(x65011),x65012),f302(x65011,x65013,x65014)))
% 164.74/165.08 [6565]~P51(x65654,x65651,x65652,x65653)+P107(f334(f334(x65651,x65652),x65653))
% 164.74/165.08 [6643]~P111(x66431)+E(f334(f334(f114(f926(x66431,a913)),f313(x66431,x66432,x66433)),f310(x66431,x66433,x66434)),f198(f926(x66431,a913)))
% 164.74/165.08 [6644]~P111(x66441)+E(f334(f334(f114(f926(x66441,a913)),f312(x66441,x66442,x66443)),f313(x66441,x66443,x66444)),f198(f926(x66441,a913)))
% 164.74/165.08 [6645]~P111(x66451)+E(f334(f334(f114(f926(x66451,a913)),f312(x66451,x66452,x66453)),f312(x66451,x66453,x66454)),f198(f926(x66451,a913)))
% 164.74/165.08 [6646]~P111(x66461)+E(f334(f334(f114(f926(x66461,a913)),f310(x66461,x66462,x66463)),f313(x66461,x66463,x66464)),f198(f926(x66461,a913)))
% 164.74/165.08 [6647]~P111(x66471)+E(f334(f334(f114(f926(x66471,a913)),f310(x66471,x66472,x66473)),f312(x66471,x66473,x66474)),f198(f926(x66471,a913)))
% 164.74/165.08 [6684]P107(f334(f334(x66841,x66842),f367(x66842,x66841)))+~P107(f334(f262(x66843,x66844,x66841),x66842))
% 164.74/165.08 [6688]~P51(x66881,x66882,x66883,x66884)+~P107(f334(f334(x66882,x66884),x66883))
% 164.74/165.08 [6764]~P110(x67642)+E(f334(f182(x67641),f160(x67641,x67642,x67643,x67644)),f334(f182(x67641),x67644))
% 164.74/165.08 [6815]~P146(x68151)+E(f200(x68151,x68152,f334(a125,x68153),x68154),f200(x68151,x68152,x68153,f334(x68152,x68154)))
% 164.74/165.08 [6874]~P107(f334(f334(f336(x68744),x68743),f300(x68744,x68741,x68742)))+P107(f334(f334(x68741,x68742),x68743))
% 164.74/165.08 [6875]~P107(f334(f334(f336(x68754),x68753),f301(x68754,x68751,x68752)))+P107(f334(f334(x68751,x68752),x68753))
% 164.74/165.08 [6876]~P107(f334(f334(f336(x68764),x68762),f305(x68764,x68761,x68763)))+P107(f334(f334(x68761,x68762),x68763))
% 164.74/165.08 [6877]~P107(f334(f334(f336(x68774),x68772),f302(x68774,x68771,x68773)))+P107(f334(f334(x68771,x68772),x68773))
% 164.74/165.08 [6951]E(f334(f44(f927(x69511,x69512)),f320(x69511,x69512,x69513,x69514)),f2(a919))+P107(f334(f70(x69512),x69514))
% 164.74/165.08 [6952]E(f334(f44(f927(x69521,x69522)),f320(x69521,x69522,x69523,x69524)),f2(a919))+P107(f334(f70(x69521),x69523))
% 164.74/165.08 [7151]~P13(x71514,x71511,x71512)+E(f334(f81(x71511,x71511,x71511,f334(x71512,x71513)),f334(x71512,x71513)),f334(x71512,x71513))
% 164.74/165.08 [7391]E(f285(x73911,x73912,x73913,x73914),f334(f266(f926(a112,f926(a913,f923(f921(x73911)))),f925(a112,a112)),f50(x73911)))+~P107(f334(f334(f248(a112),x73913),f2(a112)))
% 164.74/165.08 [7944]~P107(f334(x79441,x79444))+P107(f334(x79441,f104(x79442,a919,x79443,x79441)))
% 164.74/165.08 [8028]~E(x80282,x80283)+P107(f334(f334(f336(f925(x80281,x80281)),f334(f334(f266(x80281,x80281),x80282),x80283)),f314(x80281,x80284)))
% 164.74/165.08 [8058]~P23(x80581,x80582,x80583,f256(f926(x80581,a913)))+E(f334(f86(x80581,x80582,f256(f926(x80581,a913)),x80583),f334(x80583,x80584)),x80584)
% 164.74/165.08 [8059]~P23(x80591,x80592,x80593,f256(f926(x80591,a913)))+E(f334(f101(x80591,x80592,f256(f926(x80591,a913)),x80593),f334(x80593,x80594)),x80594)
% 164.74/165.08 [8148]~P107(f334(f334(f336(f920(x81481)),f334(f334(f161(x81481),x81484),x81482)),f171(x81481,x81483)))+P107(f334(f334(f336(f920(x81481)),x81482),f171(x81481,x81483)))
% 164.74/165.08 [8149]~P107(f334(f334(f336(f920(x81491)),f334(f334(f144(x81491),x81494),x81492)),f171(x81491,x81493)))+P107(f334(f334(f336(f920(x81491)),x81492),f171(x81491,x81493)))
% 164.74/165.08 [8150]~P107(f334(f334(f336(f920(x81501)),f334(f334(f144(x81501),x81502),x81504)),f171(x81501,x81503)))+P107(f334(f334(f336(f920(x81501)),x81502),f171(x81501,x81503)))
% 164.74/165.08 [8164]~P110(x81641)+P12(x81641,f334(f334(f164(x81642,x81641),x81643),f160(x81642,x81641,x81643,x81644)))
% 164.74/165.08 [8265]P23(x82654,x82653,x82651,x82652)+E(f334(x82651,f781(x82652,x82651,x82653,x82654)),f334(x82651,f788(x82652,x82651,x82653,x82654)))
% 164.74/165.08 [8374]~P23(x83742,x83741,x83744,x83743)+P23(x83741,x83742,f86(x83742,x83741,x83743,x83744),f334(f317(x83742,x83741,x83744),x83743))
% 164.74/165.08 [8512]P38(f925(x85122,x85124),f288(x85122,x85124,x85121,x85123))+P107(f334(x85121,f372(x85122,x85123,x85124,x85121)))
% 164.74/165.08 [8636]E(x86361,x86362)+~P107(f334(f334(f336(f925(x86363,x86363)),f334(f334(f266(x86363,x86363),x86361),x86362)),f255(x86363,x86364)))
% 164.74/165.08 [8702]~P107(f334(f70(f927(x87023,x87021)),f320(x87023,x87021,x87024,x87022)))+P107(f334(f70(x87021),x87022))
% 164.74/165.08 [8703]~P107(f334(f70(f927(x87031,x87033)),f320(x87031,x87033,x87032,x87034)))+P107(f334(f70(x87031),x87032))
% 164.74/165.08 [8712]~P23(x87121,x87122,x87123,x87124)+P24(x87121,x87122,x87123,x87124,f334(f317(x87121,x87122,x87123),x87124))
% 164.74/165.08 [8713]P10(x87131,x87132,x87133,x87134)+~E(f334(x87134,f376(x87132,x87134,x87133,x87131)),f334(x87134,f377(x87132,x87134,x87133,x87131)))
% 164.74/165.08 [8805]~P24(x88052,x88053,x88054,x88051,f198(f926(x88053,a913)))+E(x88051,f198(f926(x88052,a913)))
% 164.74/165.08 [8806]~P24(x88063,x88062,x88064,f198(f926(x88063,a913)),x88061)+E(x88061,f198(f926(x88062,a913)))
% 164.74/165.08 [8897]P38(f925(x88971,x88972),f288(x88971,x88972,x88973,x88974))+~P38(x88972,f334(x88974,f372(x88971,x88974,x88972,x88973)))
% 164.74/165.08 [9475]E(f334(f334(f169(x94751,x94752),f731(x94753,x94754,x94752,x94751)),f732(x94753,x94754,x94752,x94751)),x94754)+~P107(f334(f334(f336(f925(f920(x94751),f920(x94751))),f334(f334(f266(f920(x94751),f920(x94751)),x94752),x94754)),f167(x94751,x94753)))
% 164.74/165.08 [9476]~P107(f334(x94763,x94764))+P107(f334(f334(f248(a919),f334(x94761,f104(x94762,a919,x94761,x94763))),f334(x94761,x94764)))
% 164.74/165.08 [9483]~P107(f334(f334(f336(f925(f920(x94831),f920(x94831))),f334(f334(f266(f920(x94831),f920(x94831)),x94832),x94833)),f155(x94831,x94834)))+P107(f334(f334(f336(f925(f920(x94831),f920(x94831))),f334(f334(f266(f920(x94831),f920(x94831)),x94832),x94833)),f157(x94831,x94834)))
% 164.74/165.08 [9594]P107(f334(f70(x95941),x95942))+~P107(f334(f334(f336(f925(f926(x95941,a913),f926(x95941,a913))),f334(f334(f266(f926(x95941,a913),f926(x95941,a913)),x95943),x95942)),f326(x95941,x95944)))
% 164.74/165.08 [9595]P107(f334(f70(x95951),x95952))+~P107(f334(f334(f336(f925(f926(x95951,a913),f926(x95951,a913))),f334(f334(f266(f926(x95951,a913),f926(x95951,a913)),x95952),x95953)),f326(x95951,x95954)))
% 164.74/165.08 [9598]~E(x95981,f198(f926(x95982,a913)))+~P107(f334(f334(f336(f925(f926(x95982,a913),f926(x95982,a913))),f334(f334(f266(f926(x95982,a913),f926(x95982,a913)),x95983),x95981)),f326(x95982,x95984)))
% 164.74/165.08 [10245]P10(x102451,x102452,x102453,x102454)+~P107(f334(f334(f270(x102451,x102451,a913),f334(f334(f7(x102451,f926(x102451,x102452),f926(x102451,a913)),f334(f334(f8(f926(x102452,a913),f926(f926(x102451,x102452),f926(x102451,a913)),x102451),f8(x102452,a913,x102451)),f334(f334(f8(x102452,f926(x102452,a913),x102451),a331),x102454))),x102454)),f412(x102454,x102453,x102452,x102451)))
% 164.74/165.08 [5118]~E(x51182,f126(x51181))+E(f334(f334(f169(x51181,x51182),x51183),x51184),f126(x51181))
% 164.74/165.08 [5119]~E(x51194,f126(x51191))+E(f334(f334(f164(x51191,x51192),x51193),x51194),f126(x51192))
% 164.74/165.08 [5354]E(x53541,f126(x53542))+~E(f334(f334(f164(x53542,x53543),x53544),x53541),f126(x53543))
% 164.74/165.08 [5355]E(x53551,f126(x53552))+~E(f334(f334(f169(x53552,x53551),x53553),x53554),f126(x53552))
% 164.74/165.08 [5391]E(x53911,x53912)+~E(f334(f334(f144(x53913),x53914),x53911),f334(f334(f144(x53913),x53914),x53912))
% 164.74/165.08 [5392]E(x53921,x53922)+~E(f334(f334(f144(x53923),x53921),x53924),f334(f334(f144(x53923),x53922),x53924))
% 164.74/165.08 [5539]P107(f334(x55393,x55392))+E(f180(x55391,x55392,f334(f146(x55391,x55393),x55394)),f334(f146(x55391,x55393),x55394))
% 164.74/165.08 [5541]~P107(f334(x55412,x55413))+P34(x55411,x55412,f334(f334(f161(x55411),x55413),x55414))
% 164.74/165.08 [5550]E(x55501,x55502)+~E(f149(a919,f334(f309(a919,x55501),x55503)),f334(f334(f161(a919),x55502),x55504))
% 164.74/165.08 [5596]~P38(x55962,x55963)+P38(x55961,f334(f334(f295(x55962,x55961),x55963),x55964))
% 164.74/165.08 [5597]~P25(x55972,x55973)+P25(x55971,f334(f334(f82(x55972,x55971),x55973),x55974))
% 164.74/165.08 [5598]~P39(x55982,x55983)+P39(x55981,f334(f334(f295(x55982,x55981),x55983),x55984))
% 164.74/165.08 [5722]~P34(x57221,x57222,x57224)+P34(x57221,x57222,f334(f334(f161(x57221),x57223),x57224))
% 164.74/165.08 [5723]~P34(x57231,x57232,x57234)+P34(x57231,x57232,f334(f334(f144(x57231),x57233),x57234))
% 164.74/165.08 [5724]~P34(x57241,x57242,x57243)+P34(x57241,x57242,f334(f334(f144(x57241),x57243),x57244))
% 164.74/165.08 [5808]~E(x58081,f126(x58082))+~E(f334(f334(f144(x58082),x58083),f334(f334(f161(x58082),x58084),f126(x58082))),x58081)
% 164.74/165.08 [5833]~P32(x58333,x58331,f334(f334(f161(x58333),x58332),x58334))+P107(f334(x58331,x58332))
% 164.74/165.08 [5843]E(f127(x58431,x58432),x58433)+~E(f334(f334(f144(x58431),x58433),f334(f334(f161(x58431),x58434),f126(x58431))),x58432)
% 164.74/165.08 [5844]E(f154(x58441,x58442),x58443)+~E(f334(f334(f144(x58441),x58444),f334(f334(f161(x58441),x58443),f126(x58441))),x58442)
% 164.74/165.08 [5954]~E(f149(a919,f334(f309(a919,x59541),x59542)),f334(f334(f161(a919),x59543),x59544))+P107(f334(f334(f249(a919),x59541),x59542))
% 164.74/165.08 [5963]P32(x59631,x59632,x59633)+~P32(x59631,x59632,f334(f334(f161(x59631),x59634),x59633))
% 164.74/165.08 [5964]P32(x59641,x59642,x59643)+~P32(x59641,x59642,f334(f334(f144(x59641),x59644),x59643))
% 164.74/165.08 [5965]P32(x59651,x59652,x59653)+~P32(x59651,x59652,f334(f334(f144(x59651),x59653),x59654))
% 164.74/165.08 [6157]E(x61571,f334(f334(f144(x61572),f334(f178(x61572),x61573)),f334(f334(f161(x61572),x61574),f126(x61572))))+~E(f334(f178(x61572),x61571),f334(f334(f161(x61572),x61574),x61573))
% 164.74/165.08 [6334]~P111(x63341)+E(f334(f334(f114(f926(x63341,a913)),f334(f309(x63341,x63342),x63343)),f334(f309(x63341,x63343),x63344)),f198(f926(x63341,a913)))
% 164.74/165.08 [6345]E(f334(f334(f174(x63451),f179(x63451,x63452,x63453)),x63454),x63453)+~P107(f334(f334(f249(a919),x63454),x63452))
% 164.74/165.08 [6372]~P72(x63721)+E(f334(f175(x63721),f334(f334(f164(a1,x63721),x63722),f188(x63723,x63724))),f334(f334(f6(a1,x63721),x63722),f334(f182(a1),f188(x63723,x63724))))
% 164.74/165.08 [6373]~P72(x63731)+E(f334(f334(f6(a1,x63731),x63732),f334(f182(a1),f188(x63733,x63734))),f334(f175(x63731),f334(f334(f164(a1,x63731),x63732),f188(x63733,x63734))))
% 164.74/165.08 [6511]~E(x65112,f334(f334(f144(x65111),f334(f178(x65111),x65114)),f334(f334(f161(x65111),x65113),f126(x65111))))+E(f334(f178(x65111),x65112),f334(f334(f161(x65111),x65113),x65114))
% 164.74/165.08 [6527]~P17(x65272,x65273,x65274,x65271)+E(f334(x65271,f198(f926(x65272,a913))),f25(x65273))
% 164.74/165.08 [6554]~P111(x65541)+E(f334(f334(f114(f926(x65541,a913)),f313(x65541,x65542,x65543)),f334(f309(x65541,x65543),x65544)),f198(f926(x65541,a913)))
% 164.74/165.08 [6765]E(x67651,f198(f926(x67652,a913)))+~E(f320(x67653,x67652,x67654,x67651),f198(f926(f927(x67653,x67652),a913)))
% 164.74/165.08 [6766]E(x67661,f198(f926(x67662,a913)))+~E(f320(x67662,x67663,x67661,x67664),f198(f926(f927(x67662,x67663),a913)))
% 164.74/165.08 [6835]~P110(x68352)+E(f334(f199(f920(x68351)),f160(x68351,x68352,x68353,x68354)),f334(f199(f920(x68351)),x68354))
% 164.74/165.08 [6846]~P107(f334(f263(x68463,x68464,x68461),x68462))+P107(f334(f334(x68461,f350(x68462,x68461)),x68462))
% 164.74/165.08 [6885]~P107(f334(f70(x68852),x68854))+P107(f334(f70(x68851),f334(f317(x68852,x68851,x68853),x68854)))
% 164.74/165.08 [7112]~P23(x71122,x71121,x71123,x71124)+E(f334(f44(x71121),f334(f317(x71122,x71121,x71123),x71124)),f334(f44(x71122),x71124))
% 164.74/165.08 [7130]E(f334(f317(x71301,x71302,x71303),f334(f318(x71301,x71302,x71303),x71304)),x71304)+~E(f334(f317(x71301,x71302,x71303),f256(f926(x71301,a913))),f256(f926(x71302,a913)))
% 164.74/165.08 [7542]~P23(x75421,x75422,x75423,f256(f926(x75421,a913)))+E(f334(f318(x75421,x75422,x75423),f334(f317(x75421,x75422,x75423),x75424)),x75424)
% 164.74/165.08 [7820]E(x78201,x78202)+~P107(f334(f334(f336(x78203),x78201),f334(f182(x78203),f179(x78203,x78204,x78202))))
% 164.74/165.08 [7831]~E(x78311,f2(a919))+~P107(f334(f334(f336(x78312),x78313),f334(f182(x78312),f179(x78312,x78311,x78314))))
% 164.74/165.08 [7865]P107(f334(x78651,x78652))+~P107(f334(f334(f336(x78653),x78652),f334(f182(x78653),f187(x78653,x78651,x78654))))
% 164.74/165.08 [7975]~P107(f334(f334(f336(f920(x79751)),f334(f334(f161(x79751),x79752),x79754)),f171(x79751,x79753)))+P107(f334(f334(f336(x79751),x79752),x79753))
% 164.74/165.08 [8103]~P107(f334(f334(f336(x81031),x81032),f334(f182(x81031),f186(x81031,x81033,x81034))))+P107(f334(f334(f336(x81031),x81032),f334(f182(x81031),x81033)))
% 164.74/165.08 [8104]~P107(f334(f334(f336(x81041),x81042),f334(f182(x81041),f180(x81041,x81044,x81043))))+P107(f334(f334(f336(x81041),x81042),f334(f182(x81041),x81043)))
% 164.74/165.08 [8105]~P107(f334(f334(f336(x81051),x81052),f334(f182(x81051),f187(x81051,x81054,x81053))))+P107(f334(f334(f336(x81051),x81052),f334(f182(x81051),x81053)))
% 164.74/165.08 [8114]E(f334(f199(f920(x81141)),x81142),x81143)+~P107(f334(f334(f336(f920(x81141)),x81142),f334(f182(f920(x81141)),f64(x81141,x81143,x81144))))
% 164.74/165.08 [8215]P107(f334(x82153,x82152))+E(f334(f146(x82151,f334(f334(f8(a913,a913,x82151),a329),f334(a331,x82152))),f334(f146(x82151,x82153),x82154)),f334(f146(x82151,x82153),x82154))
% 164.74/165.08 [8325]E(f334(f334(f174(x83251),f187(x83251,x83252,x83253)),x83254),f334(f334(f174(x83251),x83253),x83254))+~P107(f334(f334(f249(a919),x83254),f334(f199(f920(x83251)),f187(x83251,x83252,x83253))))
% 164.74/165.08 [8411]~P72(x84111)+E(f334(f334(f6(a919,x84111),f334(f334(f8(a919,x84111,a919),x84112),a125)),f334(f309(a919,x84113),x84114)),f334(f334(f6(a919,x84111),x84112),f334(f309(a919,f334(a125,x84113)),f334(a125,x84114))))
% 164.74/165.08 [8421]~P72(x84211)+E(f334(f334(f6(a919,x84211),f334(f334(f8(a919,x84211,a919),x84212),a125)),f310(a919,x84213,x84214)),f334(f334(f6(a919,x84211),x84212),f310(a919,f334(a125,x84213),f334(a125,x84214))))
% 164.74/165.08 [8551]~P23(x85511,x85513,x85514,f256(f926(x85511,a913)))+P23(x85511,f926(x85512,x85513),f334(f334(f8(x85513,f926(x85512,x85513),x85511),f16(x85513,x85512)),x85514),f256(f926(x85511,a913)))
% 164.74/165.08 [8644]~P23(x86442,x86441,x86444,x86443)+E(f334(f317(x86441,x86442,f86(x86442,x86441,x86443,x86444)),f334(f317(x86442,x86441,x86444),x86443)),x86443)
% 164.74/165.08 [8704]~P107(f334(f334(f336(f925(x87041,x87041)),f334(f334(f266(x87041,x87041),x87042),x87044)),f255(x87041,x87043)))+P107(f334(f334(f336(x87041),x87042),x87043))
% 164.74/165.08 [8829]~P23(x88292,x88291,x88293,f256(f926(x88292,a913)))+E(f334(f317(x88291,x88292,f101(x88292,x88291,f256(f926(x88292,a913)),x88293)),f334(f317(x88292,x88291,x88293),x88294)),x88294)
% 164.74/165.08 [8903]~P24(x89031,x89032,x89033,x89034,f256(f926(x89032,a913)))+E(f334(f317(x89031,x89032,x89033),f256(f926(x89031,a913))),f256(f926(x89032,a913)))
% 164.74/165.08 [8935]~E(f334(f334(f6(x89351,a919),x89354),x89353),f334(a125,x89352))+P107(f334(f334(f336(x89351),f634(x89352,x89353,x89354,x89351)),x89353))
% 164.74/165.08 [8956]~E(f334(f334(f6(x89564,a919),x89561),x89563),f334(a125,x89562))+P107(f334(f334(f249(a919),f2(a919)),f334(x89561,f634(x89562,x89563,x89561,x89564))))
% 164.74/165.08 [8967]~P107(f334(f70(x89672),x89674))+P107(f334(f334(f248(a919),f334(f44(x89671),f334(f317(x89672,x89671,x89673),x89674))),f334(f44(x89672),x89674)))
% 164.74/165.08 [8968]E(f334(f334(f266(x89681,x89682),f701(x89683,x89684,x89682,x89681)),f702(x89683,x89684,x89682,x89681)),x89684)+~P107(f334(f334(f336(f925(x89681,x89682)),x89684),f334(f294(x89682,x89681),x89683)))
% 164.74/165.08 [8976]P23(x89761,x89762,x89763,x89764)+P107(f334(f334(f336(x89761),f781(x89764,x89763,x89762,x89761)),x89764))
% 164.74/165.08 [8977]P23(x89771,x89772,x89773,x89774)+P107(f334(f334(f336(x89771),f788(x89774,x89773,x89772,x89771)),x89774))
% 164.74/165.08 [9045]P10(x90451,x90452,x90453,x90454)+P107(f334(f334(f336(f925(x90451,x90451)),f412(x90454,x90453,x90452,x90451)),x90453))
% 164.74/165.08 [9107]P107(f334(x91071,x91072))+~P107(f334(x91071,f334(f334(f266(x91073,x91074),f418(x91074,x91073,x91071)),f419(x91074,x91073,x91071))))
% 164.74/165.08 [9124]E(f334(f199(f920(x91241)),x91242),f334(f199(f920(x91241)),x91243))+~P107(f334(f334(f336(f925(f920(x91241),f920(x91241))),f334(f334(f266(f920(x91241),f920(x91241)),x91242),x91243)),f155(x91241,x91244)))
% 164.74/165.08 [9125]E(f334(f199(f920(x91251)),x91252),f334(f199(f920(x91251)),x91253))+~P107(f334(f334(f336(f925(f920(x91251),f920(x91251))),f334(f334(f266(f920(x91251),f920(x91251)),x91252),x91253)),f167(x91251,x91254)))
% 164.74/165.08 [9128]E(f334(f199(f920(x91281)),x91282),f334(f199(f920(x91281)),x91283))+~P107(f334(f334(f336(f925(f920(x91281),f920(x91281))),f334(f334(f266(f920(x91281),f920(x91281)),x91282),x91283)),f168(x91281,x91284)))
% 164.74/165.08 [9204]P107(f334(f334(f248(a919),f165(x92041,x92042,x92043)),f165(x92041,x92044,x92043)))+P107(f334(f334(f336(x92041),f730(x92044,x92042,x92043,x92041)),f334(f182(x92041),x92043)))
% 164.74/165.08 [9207]E(f334(f199(f920(x92071)),x92072),f334(f199(f920(x92071)),x92073))+~P107(f334(f334(f336(f925(f920(x92071),f920(x92071))),f334(f334(f266(f920(x92071),f920(x92071)),x92072),x92073)),f314(f920(x92071),f167(x92071,x92074))))
% 164.74/165.08 [9444]~P23(x94441,x94442,x94443,x94444)+~P107(f334(f334(f249(a919),f334(f44(x94442),f334(f317(x94441,x94442,x94443),x94444))),f334(f44(x94441),x94444)))
% 164.74/165.08 [9496]~P107(f334(f334(f336(f925(f920(x94961),f920(x94961))),f334(f334(f266(f920(x94961),f920(x94961)),x94962),x94963)),f167(x94961,x94964)))+P107(f334(f334(f336(f925(f920(x94961),f920(x94961))),f334(f334(f266(f920(x94961),f920(x94961)),x94962),x94963)),f168(x94961,f314(x94961,x94964))))
% 164.74/165.08 [9500]~P107(f334(f334(f336(f925(f920(x95001),f920(x95001))),f334(f334(f266(f920(x95001),f920(x95001)),x95002),x95003)),f168(x95001,x95004)))+P107(f334(f334(f336(f925(f920(x95001),f920(x95001))),f334(f334(f266(f920(x95001),f920(x95001)),x95002),x95003)),f314(f920(x95001),f167(x95001,x95004))))
% 164.74/165.08 [9516]P107(f334(f334(f336(f925(x95161,x95161)),f334(f334(f266(x95161,x95161),x95162),x95163)),f314(x95161,x95164)))+~P107(f334(f334(f336(f925(x95161,x95161)),f334(f334(f266(x95161,x95161),x95162),x95163)),f334(f334(f296(x95161,x95161,x95161),x95164),f314(x95161,x95164))))
% 164.74/165.08 [9714]E(f334(f334(f144(x97141),f743(x97142,x97143,x97144,x97141)),f334(f334(f161(x97141),f744(x97142,x97143,x97144,x97141)),f746(x97142,x97143,x97144,x97141))),x97144)+~P107(f334(f334(f336(f925(f920(x97141),f920(x97141))),f334(f334(f266(f920(x97141),f920(x97141)),x97144),x97143)),f167(x97141,x97142)))
% 164.74/165.08 [9715]E(f334(f334(f144(x97151),f743(x97152,x97153,x97154,x97151)),f334(f334(f161(x97151),f745(x97152,x97153,x97154,x97151)),f746(x97152,x97153,x97154,x97151))),x97153)+~P107(f334(f334(f336(f925(f920(x97151),f920(x97151))),f334(f334(f266(f920(x97151),f920(x97151)),x97154),x97153)),f167(x97151,x97152)))
% 164.74/165.08 [9795]P107(f334(f334(f336(f925(x97951,x97951)),f334(f334(f266(x97951,x97951),x97952),f674(x97953,x97954,x97952,x97951))),f314(x97951,x97953)))+~P107(f334(f334(f336(f925(x97951,x97951)),f334(f334(f266(x97951,x97951),x97952),x97954)),f334(f334(f296(x97951,x97951,x97951),x97953),f314(x97951,x97953))))
% 164.74/165.08 [9862]P107(f334(f334(f248(a919),f165(x98621,x98622,x98623)),f165(x98621,x98624,x98623)))+~P107(f334(f334(f249(a919),f334(x98622,f730(x98624,x98622,x98623,x98621))),f334(x98624,f730(x98624,x98622,x98623,x98621))))
% 164.74/165.08 [9934]P107(f334(f334(f336(f925(x99341,x99341)),f334(f334(f266(x99341,x99341),f673(x99342,x99343,x99344,x99341)),x99343)),f314(x99341,x99342)))+~P107(f334(f334(f336(f925(x99341,x99341)),f334(f334(f266(x99341,x99341),x99344),x99343)),f334(f334(f296(x99341,x99341,x99341),x99342),f314(x99341,x99342))))
% 164.74/165.08 [5372]~E(x53722,x53723)+E(f180(x53721,x53722,f334(f334(f161(x53721),x53723),x53724)),x53724)
% 164.74/165.08 [5496]P107(f334(x54962,x54963))+E(f187(x54961,x54962,f334(f334(f161(x54961),x54963),x54964)),f126(x54961))
% 164.74/165.08 [5562]~P87(x55622)+E(f334(f334(f88(f926(x55621,x55622)),x55623),x55624),f334(f88(x55622),f334(x55623,x55624)))
% 164.74/165.08 [5573]~E(x55732,f2(a919))+E(f334(f334(f148(x55731),x55732),f334(f334(f161(x55731),x55733),x55734)),f334(f334(f161(x55731),x55733),x55734))
% 164.74/165.08 [5574]P107(f334(x55742,x55743))+E(f334(f146(x55741,x55742),f334(f334(f161(x55741),x55743),x55744)),f334(f146(x55741,x55742),x55744))
% 164.74/165.08 [5705]~E(x57052,x57054)+P107(f334(f334(f334(f316(x57051),x57052),x57053),x57054))
% 164.74/165.08 [5713]E(x57131,f126(x57132))+E(f154(x57133,f334(f334(f164(x57132,x57133),x57134),x57131)),f334(x57134,f154(x57132,x57131)))
% 164.74/165.08 [5727]~E(x57271,f72(x57272,x57274))+E(f334(x57271,f334(f334(f316(x57272),x57273),f198(f926(x57272,a913)))),x57273)
% 164.74/165.08 [5762]E(x57621,f126(x57622))+E(f334(f151(x57623),f334(f334(f164(x57622,x57623),x57624),x57621)),f334(x57624,f334(f151(x57622),x57621)))
% 164.74/165.08 [5863]~P107(f334(x58633,x58634))+P107(f334(f334(f334(f316(x58631),x58632),x58633),x58634))
% 164.74/165.08 [5981]~P16(x59812,x59814,x59811)+E(f334(x59811,f334(f334(f316(x59812),x59813),f198(f926(x59812,a913)))),x59813)
% 164.74/165.08 [6005]~E(x60052,x60053)+P107(f334(f334(f336(x60051),x60052),f334(f334(f316(x60051),x60053),x60054)))
% 164.74/165.08 [6009]~P83(x60091)+E(f334(f334(f123(x60091),x60092),f334(f334(f123(x60091),x60093),x60094)),f334(f334(f123(x60091),x60093),f334(f334(f123(x60091),x60092),x60094)))
% 164.74/165.08 [6011]~P102(x60111)+E(f334(f334(f123(x60111),x60112),f334(f334(f123(x60111),x60113),x60114)),f334(f334(f123(x60111),x60113),f334(f334(f123(x60111),x60112),x60114)))
% 164.74/165.08 [6012]~P83(x60121)+E(f334(f334(f114(x60121),x60122),f334(f334(f114(x60121),x60123),x60124)),f334(f334(f114(x60121),x60123),f334(f334(f114(x60121),x60122),x60124)))
% 164.74/165.08 [6014]~P103(x60141)+E(f334(f334(f114(x60141),x60142),f334(f334(f114(x60141),x60143),x60144)),f334(f334(f114(x60141),x60143),f334(f334(f114(x60141),x60142),x60144)))
% 164.74/165.08 [6015]~P119(x60151)+E(f334(f334(f90(x60151),x60152),f334(f334(f90(x60151),x60153),x60154)),f334(f334(f90(x60151),x60153),f334(f334(f90(x60151),x60152),x60154)))
% 164.74/165.08 [6016]~P119(x60161)+E(f334(f334(f89(x60161),x60162),f334(f334(f89(x60161),x60163),x60164)),f334(f334(f89(x60161),x60163),f334(f334(f89(x60161),x60162),x60164)))
% 164.74/165.08 [6018]~P110(x60181)+E(f334(f334(f246(x60181),x60182),f334(f334(f246(x60181),x60183),x60184)),f334(f334(f246(x60181),x60183),f334(f334(f246(x60181),x60182),x60184)))
% 164.74/165.08 [6020]~P110(x60201)+E(f334(f334(f247(x60201),x60202),f334(f334(f247(x60201),x60203),x60204)),f334(f334(f247(x60201),x60203),f334(f334(f247(x60201),x60202),x60204)))
% 164.74/165.08 [6025]E(x60251,x60252)+E(f180(x60253,x60251,f334(f334(f161(x60253),x60252),x60254)),f334(f334(f161(x60253),x60252),f180(x60253,x60251,x60254)))
% 164.74/165.08 [6038]~P107(f334(x60382,x60383))+E(f334(f146(x60381,x60382),f334(f334(f161(x60381),x60383),x60384)),f334(f334(f161(x60381),x60383),f334(f146(x60381,x60382),x60384)))
% 164.74/165.08 [6177]~P107(f334(x61772,x61773))+E(f187(x61771,x61772,f334(f334(f161(x61771),x61773),x61774)),f334(f334(f161(x61771),x61773),f187(x61771,x61772,x61774)))
% 164.74/165.08 [6226]P22(x62261,x62262,x62263)+~P22(x62261,x62262,f334(f334(f316(f918(x62261)),x62264),x62263))
% 164.74/165.08 [6240]E(x62401,f198(f926(x62402,a913)))+E(f334(f334(f48(x62402,f926(x62403,a913)),x62401),f334(f16(f926(x62403,a913),x62402),x62404)),x62404)
% 164.74/165.08 [6241]E(x62411,f198(f926(x62412,a913)))+E(f334(f334(f49(x62412,f926(x62413,a913)),x62411),f334(f16(f926(x62413,a913),x62412),x62414)),x62414)
% 164.74/165.08 [6250]~E(x62504,f198(f926(x62502,a913)))+E(f334(f334(f268(x62501,x62502),x62503),f334(f16(f926(x62502,a913),x62501),x62504)),f198(f926(f925(x62501,x62502),a913)))
% 164.74/165.08 [6251]~E(x62513,f198(f926(x62511,a913)))+E(f334(f334(f268(x62511,x62512),x62513),f334(f16(f926(x62512,a913),x62511),x62514)),f198(f926(f925(x62511,x62512),a913)))
% 164.74/165.08 [6301]E(x63011,f2(a919))+E(f334(f334(f148(x63012),x63011),f334(f334(f161(x63012),x63013),x63014)),f334(f334(f148(x63012),f334(f334(f23(a919),x63011),f87(a919))),x63014))
% 164.74/165.08 [6328]E(x63281,f198(f926(x63282,a913)))+E(f334(f317(x63282,x63283,f334(f16(x63283,x63282),x63284)),x63281),f334(f334(f316(x63283),x63284),f198(f926(x63283,a913))))
% 164.74/165.08 [6331]E(f334(f318(x63311,x63312,f334(f16(x63312,x63311),x63313)),x63314),f198(f926(x63311,a913)))+P107(f334(f334(f336(x63312),x63313),x63314))
% 164.74/165.08 [6396]~E(x63963,f198(f926(x63961,a913)))+E(f334(f334(f48(x63961,f926(x63962,a913)),x63963),f334(f16(f926(x63962,a913),x63961),x63964)),f198(f926(x63962,a913)))
% 164.74/165.08 [6397]~E(x63973,f198(f926(x63971,a913)))+E(f334(f334(f49(x63971,f926(x63972,a913)),x63973),f334(f16(f926(x63972,a913),x63971),x63974)),f256(f926(x63972,a913)))
% 164.74/165.08 [6399]~P60(x63991)+E(f54(x63991,f334(f334(f90(x63991),x63992),x63993),f334(f334(f90(x63991),x63992),x63994)),f334(f334(f90(x63991),x63992),f54(x63991,x63993,x63994)))
% 164.74/165.08 [6564]E(f334(f318(x65641,x65642,f334(f16(x65642,x65641),x65643)),x65644),f256(f926(x65641,a913)))+~P107(f334(f334(f336(x65642),x65643),x65644))
% 164.74/165.08 [6589]~P107(f334(f334(f336(x65891),x65892),x65894))+P107(f334(f334(f336(x65891),x65892),f334(f334(f316(x65891),x65893),x65894)))
% 164.74/165.08 [6594]P107(f334(x65941,x65942))+~P107(f334(f170(x65943,x65941),f334(f334(f161(x65943),x65942),x65944)))
% 164.74/165.08 [6603]~E(x66033,f334(f334(f23(a919),f334(f199(f920(x66031)),x66032)),f87(a919)))+E(f127(x66031,f334(f334(f169(x66031,x66032),x66033),x66034)),f127(x66031,x66032))
% 164.74/165.08 [6622]~P110(x66221)+E(f334(f334(f114(f926(x66221,a913)),f334(f308(x66221),x66222)),f310(x66221,x66223,x66224)),f310(x66221,x66223,f334(f334(f246(x66221),x66222),x66224)))
% 164.74/165.08 [6623]~P110(x66231)+E(f334(f334(f114(f926(x66231,a913)),f334(f291(x66231),x66232)),f310(x66231,x66233,x66234)),f310(x66231,f334(f334(f247(x66231),x66232),x66233),x66234))
% 164.74/165.08 [6638]E(f334(f334(f114(f926(x66381,a913)),x66382),f334(f334(f316(x66381),x66383),x66384)),f334(f334(f114(f926(x66381,a913)),x66382),x66384))+P107(f334(f334(f336(x66381),x66383),x66382))
% 164.74/165.08 [6650]E(f180(x66501,x66502,f334(f334(f144(x66501),x66503),x66504)),f334(f334(f144(x66501),x66503),f180(x66501,x66502,x66504)))+P107(f334(f334(f336(x66501),x66502),f334(f182(x66501),x66503)))
% 164.74/165.08 [6655]~P81(x66551)+E(f334(f334(f90(x66551),f334(f334(f258(x66551),x66552),x66553)),f334(f334(f258(x66551),x66552),x66554)),f334(f334(f258(x66551),x66552),f334(f334(f89(a919),x66553),x66554)))
% 164.74/165.08 [6656]~P119(x66561)+E(f334(f334(f90(x66561),f334(f334(f258(x66561),x66562),x66563)),f334(f334(f258(x66561),x66562),x66564)),f334(f334(f258(x66561),x66562),f334(f334(f89(a919),x66563),x66564)))
% 164.74/165.08 [6693]~P101(x66931)+E(f334(f334(f114(x66931),f334(f334(f123(x66931),x66932),x66933)),f334(f334(f123(x66931),x66932),x66934)),f334(f334(f123(x66931),x66932),f334(f334(f114(x66931),x66933),x66934)))
% 164.74/165.08 [6694]~P101(x66941)+E(f334(f334(f123(x66941),f334(f334(f114(x66941),x66942),x66943)),f334(f334(f114(x66941),x66942),x66944)),f334(f334(f114(x66941),x66942),f334(f334(f123(x66941),x66943),x66944)))
% 164.74/165.08 [6695]~P119(x66951)+E(f334(f334(f89(x66951),f334(f334(f90(x66951),x66952),x66953)),f334(f334(f90(x66951),x66952),x66954)),f334(f334(f90(x66951),x66952),f334(f334(f89(x66951),x66953),x66954)))
% 164.74/165.08 [6696]~P110(x66961)+E(f334(f334(f247(x66961),f334(f334(f246(x66961),x66962),x66963)),f334(f334(f246(x66961),x66962),x66964)),f334(f334(f246(x66961),x66962),f334(f334(f247(x66961),x66963),x66964)))
% 164.74/165.08 [6697]~P110(x66971)+E(f334(f334(f246(x66971),f334(f334(f247(x66971),x66972),x66973)),f334(f334(f247(x66971),x66972),x66974)),f334(f334(f247(x66971),x66972),f334(f334(f246(x66971),x66973),x66974)))
% 164.74/165.08 [6730]~P60(x67301)+E(f54(x67301,f334(f334(f90(x67301),x67302),x67303),f334(f334(f90(x67301),x67304),x67303)),f334(f334(f90(x67301),f54(x67301,x67302,x67304)),x67303))
% 164.74/165.08 [6733]~E(f334(f199(f920(x67331)),x67333),f334(f199(f920(x67332)),x67334))+E(f334(f334(f164(f925(x67331,x67332),x67332),f269(x67331,x67332)),f334(f334(f191(x67331,x67332),x67333),x67334)),x67334)
% 164.74/165.08 [6734]~E(f334(f199(f920(x67341)),x67343),f334(f199(f920(x67342)),x67344))+E(f334(f334(f164(f925(x67341,x67342),x67341),f265(x67341,x67342)),f334(f334(f191(x67341,x67342),x67343),x67344)),x67343)
% 164.74/165.08 [6739]P107(f334(f170(x67391,x67392),x67393))+~P107(f334(f170(x67391,x67392),f334(f334(f161(x67391),x67394),x67393)))
% 164.74/165.08 [6740]P107(f334(f170(x67401,x67402),x67403))+~P107(f334(f170(x67401,x67402),f334(f334(f144(x67401),x67404),x67403)))
% 164.74/165.08 [6741]P107(f334(f170(x67411,x67412),x67413))+~P107(f334(f170(x67411,x67412),f334(f334(f144(x67411),x67413),x67414)))
% 164.74/165.08 [6746]~P61(x67461)+E(f54(x67461,f334(f334(f23(x67461),x67462),f54(x67461,x67463,x67464)),x67464),f54(x67461,f334(f334(f23(x67461),x67462),x67463),x67464))
% 164.74/165.08 [6747]~P60(x67471)+E(f54(x67471,f334(f334(f90(x67471),x67472),f54(x67471,x67473,x67474)),x67474),f54(x67471,f334(f334(f90(x67471),x67472),x67473),x67474))
% 164.74/165.08 [6749]~P60(x67491)+E(f54(x67491,f334(f334(f89(x67491),x67492),f54(x67491,x67493,x67494)),x67494),f54(x67491,f334(f334(f89(x67491),x67492),x67493),x67494))
% 164.74/165.08 [6829]~P110(x68291)+E(f334(f334(f114(f926(x68291,a913)),f310(x68291,x68292,x68293)),f334(f308(x68291),x68294)),f310(x68291,x68292,f334(f334(f246(x68291),x68293),x68294)))
% 164.74/165.08 [6830]~P110(x68301)+E(f334(f334(f114(f926(x68301,a913)),f310(x68301,x68302,x68303)),f334(f291(x68301),x68304)),f310(x68301,f334(f334(f247(x68301),x68302),x68304),x68303))
% 164.74/165.08 [6833]~E(f334(f199(f920(x68331)),x68333),f334(f199(f920(x68332)),x68334))+E(f334(f334(f191(x68331,x68332),f334(f178(x68331),x68333)),f334(f178(x68332),x68334)),f334(f178(f925(x68331,x68332)),f334(f334(f191(x68331,x68332),x68333),x68334)))
% 164.74/165.08 [6843]E(x68431,f334(f334(f23(a919),f334(f199(f920(x68432)),x68433)),f87(a919)))+E(f127(x68432,f334(f334(f169(x68432,x68433),x68431),x68434)),f334(f334(f169(x68432,f127(x68432,x68433)),x68431),x68434))
% 164.74/165.08 [6857]~P107(f334(f147(x68572),x68574))+P107(f334(f147(f925(x68571,x68572)),f334(f334(f191(x68571,x68572),x68573),x68574)))
% 164.74/165.08 [6858]~P107(f334(f147(x68581),x68583))+P107(f334(f147(f925(x68581,x68582)),f334(f334(f191(x68581,x68582),x68583),x68584)))
% 164.74/165.08 [6945]E(x69451,f334(f334(f334(a207,x69452),x69453),f334(x69454,x69452)))+~P107(f334(f334(f204(f28(x69453,x69454)),x69452),x69451))
% 164.74/165.08 [7115]E(f334(f334(f45(a919),x71151),x71152),x71153)+~P107(f334(f57(x71151,x71152),f334(f334(f266(a919,a919),x71153),x71154)))
% 164.74/165.08 [7138]E(f54(a919,x71381,x71382),x71383)+~P107(f334(f57(x71381,x71382),f334(f334(f266(a919,a919),x71384),x71383)))
% 164.74/165.08 [7141]P107(f334(f147(x71411),x71412))+~P107(f334(f147(x71413),f334(f334(f164(x71411,x71413),x71414),x71412)))
% 164.74/165.08 [7149]~P22(x71491,x71492,f334(f334(f316(f918(x71491)),x71493),x71494))+P22(x71491,x71492,f334(f334(f316(f918(x71491)),x71493),f198(f926(f918(x71491),a913))))
% 164.74/165.08 [7154]P107(f334(f334(f204(x71541),x71542),x71543))+~P107(f334(f334(f334(f334(a206,x71541),x71542),x71544),x71543))
% 164.74/165.08 [7226]E(f180(x72261,x72262,f334(f334(f144(x72261),x72263),x72264)),f334(f334(f144(x72261),f180(x72261,x72262,x72263)),x72264))+~P107(f334(f334(f336(x72261),x72262),f334(f182(x72261),x72263)))
% 164.74/165.08 [7317]~P61(x73171)+E(f54(x73171,f334(f334(f23(x73171),f54(x73171,x73172,x73173)),x73174),x73173),f54(x73171,f334(f334(f23(x73171),x73172),x73174),x73173))
% 164.74/165.08 [7320]~P60(x73201)+E(f54(x73201,f334(f334(f90(x73201),f54(x73201,x73202,x73203)),x73204),x73203),f54(x73201,f334(f334(f90(x73201),x73202),x73204),x73203))
% 164.74/165.08 [7321]~P60(x73211)+E(f54(x73211,f334(f334(f89(x73211),f54(x73211,x73212,x73213)),x73214),x73213),f54(x73211,f334(f334(f89(x73211),x73212),x73214),x73213))
% 164.74/165.08 [7513]~E(x75131,f334(f334(f161(x75132),x75133),x75134))+~P107(f334(f334(f248(a919),f334(f199(f920(x75132)),x75131)),f334(f199(f920(x75132)),x75134)))
% 164.74/165.08 [7714]P23(x77141,x77142,x77143,f334(f182(x77141),x77144))+~P107(f334(f147(x77142),f334(f334(f164(x77141,x77142),x77143),x77144)))
% 164.74/165.08 [7787]~P107(f334(f334(f248(f926(x77871,a913)),x77872),x77874))+P107(f334(f334(f248(f926(x77871,a913)),x77872),f334(f334(f316(x77871),x77873),x77874)))
% 164.74/165.08 [7821]~P61(x78211)+E(f54(x78211,f334(f334(f23(x78211),f54(x78211,x78212,x78213)),f54(x78211,x78214,x78213)),x78213),f54(x78211,f334(f334(f23(x78211),x78212),x78214),x78213))
% 164.74/165.08 [7822]~P60(x78221)+E(f54(x78221,f334(f334(f90(x78221),f54(x78221,x78222,x78223)),f54(x78221,x78224,x78223)),x78223),f54(x78221,f334(f334(f90(x78221),x78222),x78224),x78223))
% 164.74/165.08 [7823]~P60(x78231)+E(f54(x78231,f334(f334(f89(x78231),f54(x78231,x78232,x78233)),f54(x78231,x78234,x78233)),x78233),f54(x78231,f334(f334(f89(x78231),x78232),x78234),x78233))
% 164.74/165.08 [7923]P107(f334(f334(f334(f334(a206,x79231),x79232),f334(a125,x79233)),x79234))+~P107(f334(f334(f334(f334(a206,x79231),x79232),x79233),x79234))
% 164.74/165.08 [7930]~E(f334(x79304,f884(x79304,x79303,x79301,x79302)),f198(f926(x79302,a913)))+E(f334(f334(f48(x79301,f926(x79302,a913)),x79303),x79304),f198(f926(x79302,a913)))
% 164.74/165.08 [7931]~E(f334(x79314,f677(x79314,x79313,x79311,x79312)),f256(f926(x79312,a913)))+E(f334(f334(f49(x79311,f926(x79312,a913)),x79313),x79314),f256(f926(x79312,a913)))
% 164.74/165.08 [7932]~E(f334(x79324,f885(x79324,x79323,x79322,x79321)),f198(f926(x79322,a913)))+E(f334(f334(f48(x79321,f926(x79322,a913)),x79323),x79324),f198(f926(x79322,a913)))
% 164.74/165.08 [7933]~E(f334(x79334,f678(x79334,x79333,x79332,x79331)),f256(f926(x79332,a913)))+E(f334(f334(f49(x79331,f926(x79332,a913)),x79333),x79334),f256(f926(x79332,a913)))
% 164.74/165.08 [8326]P107(f334(x83261,x83262))+~P107(f334(f334(f336(x83263),x83262),f334(f334(f114(f926(x83263,a913)),x83264),f334(f254(x83263),x83261))))
% 164.74/165.08 [8364]~P107(f334(f334(f248(f926(x83641,a913)),x83643),x83644))+P107(f334(f334(f248(f926(x83641,a913)),f334(f334(f316(x83641),x83642),x83643)),f334(f334(f316(x83641),x83642),x83644)))
% 164.74/165.08 [8533]P107(f334(f334(f204(x85331),x85332),f483(x85333,x85332,x85334,x85331)))+~P107(f334(f334(f204(f34(x85331,x85334)),x85332),x85333))
% 164.74/165.08 [8534]P107(f334(f334(f204(x85341),x85342),f543(x85343,x85342,x85344,x85341)))+~P107(f334(f334(f204(f34(x85341,x85344)),x85342),x85343))
% 164.74/165.08 [8544]P107(f334(x85442,x85443))+E(f334(f334(f148(x85441),f334(f199(f920(x85441)),f187(x85441,x85442,f334(f334(f161(x85441),x85443),x85444)))),f334(f334(f161(x85441),x85443),x85444)),f334(f334(f161(x85441),x85443),x85444))
% 164.74/165.08 [8658]~P107(f334(f334(f249(a919),f334(x86584,x86582)),f334(x86584,x86583)))+P107(f334(f334(f336(f925(x86581,x86581)),f334(f334(f266(x86581,x86581),x86582),x86583)),f334(f334(f295(a919,x86581),a253),x86584)))
% 164.74/165.08 [8755]~P107(f334(x87552,f800(x87554,x87552,x87553,x87551)))+E(f187(x87551,x87552,f334(f334(f144(x87551),x87553),x87554)),f334(f334(f144(x87551),x87553),f187(x87551,x87552,x87554)))
% 164.74/165.08 [8833]P23(f920(x88331),f920(x88332),f334(f164(x88331,x88332),x88333),x88334)+~P23(x88331,x88332,x88333,f46(f926(x88331,a913),f334(f317(f920(x88331),f926(x88331,a913),f182(x88331)),x88334)))
% 164.74/165.08 [8907]~P107(f334(x89072,x89073))+E(f334(f334(f148(x89071),f334(f199(f920(x89071)),f187(x89071,x89072,f334(f334(f161(x89071),x89073),x89074)))),f334(f334(f161(x89071),x89073),x89074)),f334(f334(f148(x89071),f334(f199(f920(x89071)),f187(x89071,x89072,x89074))),x89074))
% 164.74/165.08 [8947]~E(x89472,x89473)+E(f334(f146(x89471,f334(f334(f8(a913,a913,x89471),a329),f334(a331,x89472))),f334(f334(f161(x89471),x89473),x89474)),f334(f146(x89471,f334(f334(f8(a913,a913,x89471),a329),f334(a331,x89472))),x89474))
% 164.74/165.08 [8957]E(f334(f334(f48(x89571,f926(x89572,a913)),x89573),x89574),f198(f926(x89572,a913)))+P107(f334(f334(f336(x89571),f884(x89574,x89573,x89571,x89572)),x89573))
% 164.74/165.08 [8958]E(f334(f334(f49(x89581,f926(x89582,a913)),x89583),x89584),f256(f926(x89582,a913)))+P107(f334(f334(f336(x89581),f677(x89584,x89583,x89581,x89582)),x89583))
% 164.74/165.08 [8959]E(f334(f334(f48(x89591,f926(x89592,a913)),x89593),x89594),f198(f926(x89592,a913)))+P107(f334(f334(f336(x89591),f885(x89594,x89593,x89592,x89591)),x89593))
% 164.74/165.08 [8960]E(f334(f334(f49(x89601,f926(x89602,a913)),x89603),x89604),f256(f926(x89602,a913)))+P107(f334(f334(f336(x89601),f678(x89604,x89603,x89602,x89601)),x89603))
% 164.74/165.08 [8998]P107(f334(f334(f249(a919),f334(x89981,x89982)),f334(x89981,x89983)))+~P107(f334(f334(f336(f925(x89984,x89984)),f334(f334(f266(x89984,x89984),x89982),x89983)),f334(f334(f295(a919,x89984),a253),x89981)))
% 164.74/165.08 [9024]E(f187(x90241,x90242,f334(f334(f144(x90241),x90243),x90244)),f334(f334(f144(x90241),x90243),f187(x90241,x90242,x90244)))+P107(f334(f334(f336(x90241),f800(x90244,x90242,x90243,x90241)),f334(f182(x90241),x90243)))
% 164.74/165.08 [9063]P107(f334(f334(f204(x90631),f483(x90632,x90633,x90631,x90634)),x90632))+~P107(f334(f334(f204(f34(x90634,x90631)),x90633),x90632))
% 164.74/165.08 [9064]P107(f334(f334(f204(x90641),f543(x90642,x90643,x90641,x90644)),x90642))+~P107(f334(f334(f204(f34(x90644,x90641)),x90643),x90642))
% 164.74/165.08 [9082]~P24(x90821,x90822,x90823,f256(f926(x90821,a913)),f256(f926(x90822,a913)))+E(f334(f317(x90821,x90822,x90823),f334(f88(f926(x90821,a913)),x90824)),f334(f88(f926(x90822,a913)),f334(f317(x90821,x90822,x90823),x90824)))
% 164.74/165.08 [9193]P107(f334(f334(f336(x91931),f888(x91932,x91933,x91934,x91931)),x91933))+~P107(f334(f334(f336(f926(x91931,a913)),x91934),f334(f334(f69(x91931),x91933),x91932)))
% 164.74/165.08 [9196]E(x91961,x91962)+~P107(f334(f334(f336(f925(x91963,x91963)),f334(f334(f266(x91963,x91963),x91961),x91962)),f334(f334(f193(f925(x91963,x91963),a913),f2(a919)),x91964)))
% 164.74/165.08 [9278]E(f334(f293(x92781,x92781,x92782),f334(f334(f316(x92781),f888(x92782,x92783,x92784,x92781)),f198(f926(x92781,a913)))),x92784)+~P107(f334(f334(f336(f926(x92781,a913)),x92784),f334(f334(f69(x92781),x92783),x92782)))
% 164.74/165.08 [9283]~P107(f334(f334(f336(f925(x92831,x92831)),f334(f334(f266(x92831,x92831),x92833),x92832)),f314(x92831,x92834)))+P107(f334(f334(f336(f925(x92831,x92831)),f334(f334(f266(x92831,x92831),x92832),x92833)),f314(x92831,f334(f294(x92831,x92831),x92834))))
% 164.74/165.08 [9298]~P60(x92981)+E(f334(f334(f89(x92981),f334(f334(f89(x92981),f334(f334(f90(x92981),x92982),f334(f334(f45(x92981),x92983),x92982))),f54(x92981,x92983,x92982))),x92984),f334(f334(f89(x92981),x92983),x92984))
% 164.74/165.08 [9308]~P107(f334(f334(f336(x93081),x93083),x93084))+P107(f334(f334(f336(f926(x93081,a913)),f334(f293(x93081,x93081,x93082),f334(f334(f316(x93081),x93083),f198(f926(x93081,a913))))),f334(f334(f69(x93081),x93084),x93082)))
% 164.74/165.08 [9318]P107(f334(f334(f336(f925(x93181,x93181)),f334(f334(f266(x93181,x93181),x93182),x93183)),f314(x93181,x93184)))+~P107(f334(f334(f336(f925(x93181,x93181)),f334(f334(f266(x93181,x93181),x93183),x93182)),f314(x93181,f334(f294(x93181,x93181),x93184))))
% 164.74/165.08 [9407]E(f334(f334(f169(x94071,f334(f178(x94071),x94072)),f334(f334(f23(a919),f334(f334(f23(a919),f334(f199(f920(x94071)),x94072)),x94073)),f87(a919))),x94074),f334(f178(x94071),f334(f334(f169(x94071,x94072),x94073),x94074)))+~P107(f334(f334(f249(a919),x94073),f334(f199(f920(x94071)),x94072)))
% 164.74/165.08 [9410]~P107(f334(x94102,f793(x94104,x94102,x94103,x94101)))+E(f334(f334(f148(x94101),f334(f199(f920(x94101)),f187(x94101,x94102,f334(f334(f144(x94101),x94103),x94104)))),f334(f334(f144(x94101),x94103),x94104)),f334(f334(f148(x94101),f334(f199(f920(x94101)),f187(x94101,x94102,x94104))),x94104))
% 164.74/165.08 [9452]~P23(x94522,x94521,x94523,f256(f926(x94522,a913)))+P107(f334(f334(f248(f926(x94521,a913)),f334(f317(x94522,x94521,x94523),f334(f88(f926(x94522,a913)),x94524))),f334(f88(f926(x94521,a913)),f334(f317(x94522,x94521,x94523),x94524))))
% 164.74/165.08 [9466]~P3(x94661)+E(f334(f152(x94661,x94662,f334(f7(x94662,x94661,x94661),f334(f334(f8(x94661,f926(x94661,x94661),x94662),f123(x94661)),x94663)),f198(x94661)),x94664),f334(f334(f48(x94662,x94661),f334(f182(x94662),x94664)),x94663))
% 164.74/165.08 [9467]~P3(x94671)+E(f334(f152(x94671,x94672,f334(f7(x94672,x94671,x94671),f334(f334(f8(x94671,f926(x94671,x94671),x94672),f114(x94671)),x94673)),f256(x94671)),x94674),f334(f334(f49(x94672,x94671),f334(f182(x94672),x94674)),x94673))
% 164.74/165.08 [9479]E(f334(f334(f148(x94791),f334(f199(f920(x94791)),f187(x94791,x94792,f334(f334(f144(x94791),x94793),x94794)))),f334(f334(f144(x94791),x94793),x94794)),f334(f334(f148(x94791),f334(f199(f920(x94791)),f187(x94791,x94792,x94794))),x94794))+P107(f334(f334(f336(x94791),f793(x94794,x94792,x94793,x94791)),f334(f182(x94791),x94793)))
% 164.74/165.08 [9481]P22(x94813,x94812,f334(f334(f316(f918(x94813)),f334(f334(f334(f100(x94813),x94811),a26),x94814)),f198(f926(f918(x94813),a913))))+P107(f334(f334(x94811,f907(x94812,x94813,x94814,x94811)),f351(x94812,x94813,x94814,x94811)))
% 164.74/165.08 [9550]~P107(f334(f334(f336(f925(f920(x95504),f920(x95504))),f334(f334(f266(f920(x95504),f920(x95504)),x95503),x95502)),f167(x95504,x95501)))+P107(f334(f334(f249(a919),f731(x95501,x95502,x95503,x95504)),f334(f199(f920(x95504)),x95503)))
% 164.74/165.08 [9551]~P60(x95511)+E(f334(f334(f89(x95511),f334(f334(f89(x95511),f334(f334(f90(x95511),f334(f334(f45(x95511),x95512),x95513)),x95513)),f54(x95511,x95512,x95513))),x95514),f334(f334(f89(x95511),x95512),x95514))
% 164.74/165.08 [9580]~P107(f334(f334(f336(f925(f920(x95801),f920(x95801))),f334(f334(f266(f920(x95801),f920(x95801)),x95802),x95803)),f334(f294(f920(x95801),f920(x95801)),f167(x95801,x95804))))+P107(f334(f334(f336(f925(f920(x95801),f920(x95801))),f334(f334(f266(f920(x95801),f920(x95801)),x95802),x95803)),f167(x95801,f334(f294(x95801,x95801),x95804))))
% 164.74/165.08 [9581]P107(f334(f334(f336(f925(f920(x95811),f920(x95811))),f334(f334(f266(f920(x95811),f920(x95811)),x95812),x95813)),f334(f294(f920(x95811),f920(x95811)),f167(x95811,x95814))))+~P107(f334(f334(f336(f925(f920(x95811),f920(x95811))),f334(f334(f266(f920(x95811),f920(x95811)),x95812),x95813)),f167(x95811,f334(f294(x95811,x95811),x95814))))
% 164.74/165.08 [9620]~P107(f334(f334(f336(x96201),x96203),f334(f264(x96201,x96202),x96204)))+P107(f334(f334(f336(f925(x96201,x96202)),f334(f334(f266(x96201,x96202),x96203),f356(x96204,x96202,x96203,x96201))),x96204))
% 164.74/165.08 [9621]~P107(f334(f334(f336(x96211),x96213),f334(f264(x96211,x96212),x96214)))+P107(f334(f334(f336(f925(x96211,x96212)),f334(f334(f266(x96211,x96212),x96213),f357(x96214,x96212,x96213,x96211))),x96214))
% 164.74/165.08 [9677]P22(x96771,x96772,f334(f334(f316(f918(x96771)),f334(f334(f334(f100(x96771),x96773),a26),x96774)),f198(f926(f918(x96771),a913))))+~P107(f334(f334(x96774,f907(x96772,x96771,x96774,x96773)),f351(x96772,x96771,x96774,x96773)))
% 164.74/165.08 [9790]~P107(f334(f334(f336(f925(x97901,x97901)),f334(f334(f266(x97901,x97901),x97902),x97904)),f334(f334(f296(x97901,x97901,x97901),x97903),f314(x97901,x97903))))+P107(f334(f334(f336(f925(x97901,x97901)),f334(f334(f266(x97901,x97901),x97902),f673(x97903,x97904,x97902,x97901))),x97903))
% 164.74/165.08 [9948]P10(x99481,x99482,x99483,x99484)+P107(f334(f334(f336(f925(x99481,x99481)),f334(f334(f266(x99481,x99481),f377(x99482,x99484,x99483,x99481)),f376(x99482,x99484,x99483,x99481))),x99483))
% 164.74/165.08 [9959]~P107(f334(f334(f336(f925(x99592,x99591)),x99594),f334(f294(x99591,x99592),x99593)))+P107(f334(f334(f336(f925(x99591,x99592)),f334(f334(f266(x99591,x99592),f702(x99593,x99594,x99591,x99592)),f701(x99593,x99594,x99591,x99592))),x99593))
% 164.74/165.08 [9983]~P107(f334(f334(f336(f925(f920(x99831),f920(x99831))),f334(f334(f266(f920(x99831),f920(x99831)),x99834),x99833)),f167(x99831,x99832)))+P107(f334(f334(f336(f925(x99831,x99831)),f334(f334(f266(x99831,x99831),f744(x99832,x99833,x99834,x99831)),f745(x99832,x99833,x99834,x99831))),x99832))
% 164.74/165.08 [10077]~P107(f334(f334(f336(f925(f920(x100771),f920(x100771))),f334(f334(f266(f920(x100771),f920(x100771)),x100772),x100774)),f167(x100771,x100773)))+P107(f334(f334(f336(f925(x100771,x100771)),f334(f334(f266(x100771,x100771),f334(f334(f174(x100771),x100772),f731(x100773,x100774,x100772,x100771))),f732(x100773,x100774,x100772,x100771))),x100773))
% 164.74/165.08 [10099]~P107(f334(f70(x100992),x100994))+E(f334(f334(f334(f74(f926(x100991,a913),x100992,f123(f926(x100991,a913))),f334(f334(f7(x100992,f926(x100991,a913),f926(x100991,a913)),f334(f334(f8(x100991,f926(f926(x100991,a913),f926(x100991,a913)),x100992),f316(x100991)),x100993)),f198(f926(x100991,a913)))),f198(f926(x100991,a913))),x100994),f334(f317(x100992,x100991,x100993),x100994))
% 164.74/165.08 [10198]~P23(x101981,x101982,x101983,f256(f926(x101981,a913)))+P107(f334(f334(f248(f926(x101981,a913)),f334(f318(x101981,x101982,x101983),f334(f334(f316(x101982),x101984),f198(f926(x101982,a913))))),f334(f334(f316(x101981),f94(x101981,f334(f334(f7(x101981,x101982,a913),f334(f334(f8(x101982,f926(x101982,a913),x101981),a331),x101983)),x101984))),f198(f926(x101981,a913)))))
% 164.74/165.08 [5771]~E(f334(f334(f144(x57711),x57712),x57714),x57713)+E(f334(f334(f185(x57711),f334(f199(f920(x57711)),x57712)),x57713),x57712)
% 164.74/165.08 [5772]~E(f334(f334(f144(x57722),x57723),x57721),x57724)+E(x57721,f334(f334(f148(x57722),f334(f199(f920(x57722)),x57723)),x57724))
% 164.74/165.08 [5783]~E(x57834,f2(a919))+E(f334(f334(f174(x57831),f334(f334(f161(x57831),x57832),x57833)),x57834),x57832)
% 164.74/165.08 [6314]~P119(x63141)+E(f334(f334(f258(x63141),f334(f334(f258(x63141),x63142),x63143)),x63144),f334(f334(f258(x63141),x63142),f334(f334(f90(a919),x63143),x63144)))
% 164.74/165.08 [6315]~P81(x63151)+E(f334(f334(f258(x63151),f334(f334(f258(x63151),x63152),x63153)),x63154),f334(f334(f258(x63151),x63152),f334(f334(f90(a919),x63153),x63154)))
% 164.74/165.08 [6329]E(x63291,f2(a919))+E(f334(f334(f174(x63292),f334(f334(f161(x63292),x63293),x63294)),x63291),f334(f334(f174(x63292),x63294),f334(f334(f23(a919),x63291),f87(a919))))
% 164.74/165.08 [6355]~P120(x63551)+E(f334(f334(f297(x63551),f334(f334(f90(x63551),x63552),x63553)),x63554),f334(f334(f90(x63551),x63552),f334(f334(f297(x63551),x63553),x63554)))
% 164.74/165.08 [6357]~P83(x63571)+E(f334(f334(f123(x63571),f334(f334(f123(x63571),x63572),x63573)),x63574),f334(f334(f123(x63571),x63572),f334(f334(f123(x63571),x63573),x63574)))
% 164.74/165.08 [6359]~P102(x63591)+E(f334(f334(f123(x63591),f334(f334(f123(x63591),x63592),x63593)),x63594),f334(f334(f123(x63591),x63592),f334(f334(f123(x63591),x63593),x63594)))
% 164.74/165.08 [6360]~P83(x63601)+E(f334(f334(f114(x63601),f334(f334(f114(x63601),x63602),x63603)),x63604),f334(f334(f114(x63601),x63602),f334(f334(f114(x63601),x63603),x63604)))
% 164.74/165.08 [6362]~P103(x63621)+E(f334(f334(f114(x63621),f334(f334(f114(x63621),x63622),x63623)),x63624),f334(f334(f114(x63621),x63622),f334(f334(f114(x63621),x63623),x63624)))
% 164.74/165.08 [6363]~P69(x63631)+E(f334(f334(f90(x63631),f334(f334(f90(x63631),x63632),x63633)),x63634),f334(f334(f90(x63631),x63632),f334(f334(f90(x63631),x63633),x63634)))
% 164.74/165.08 [6364]~P119(x63641)+E(f334(f334(f90(x63641),f334(f334(f90(x63641),x63642),x63643)),x63644),f334(f334(f90(x63641),x63642),f334(f334(f90(x63641),x63643),x63644)))
% 164.74/165.08 [6366]~P70(x63661)+E(f334(f334(f89(x63661),f334(f334(f89(x63661),x63662),x63663)),x63664),f334(f334(f89(x63661),x63662),f334(f334(f89(x63661),x63663),x63664)))
% 164.74/165.08 [6367]~P119(x63671)+E(f334(f334(f89(x63671),f334(f334(f89(x63671),x63672),x63673)),x63674),f334(f334(f89(x63671),x63672),f334(f334(f89(x63671),x63673),x63674)))
% 164.74/165.08 [6369]~P110(x63691)+E(f334(f334(f246(x63691),f334(f334(f246(x63691),x63692),x63693)),x63694),f334(f334(f246(x63691),x63692),f334(f334(f246(x63691),x63693),x63694)))
% 164.74/165.08 [6371]~P110(x63711)+E(f334(f334(f247(x63711),f334(f334(f247(x63711),x63712),x63713)),x63714),f334(f334(f247(x63711),x63712),f334(f334(f247(x63711),x63713),x63714)))
% 164.74/165.08 [6380]~P60(x63801)+E(f54(x63801,f334(f334(f89(x63801),x63802),f334(f334(f90(x63801),x63803),x63804)),x63804),f54(x63801,x63802,x63804))
% 164.74/165.08 [6381]~P60(x63811)+E(f54(x63811,f334(f334(f89(x63811),x63812),f334(f334(f90(x63811),x63813),x63814)),x63813),f54(x63811,x63812,x63813))
% 164.74/165.08 [6512]E(f334(f334(f174(x65121),f334(f334(f185(x65121),x65122),x65123)),x65124),f334(f334(f174(x65121),x65123),x65124))+~P107(f334(f334(f249(a919),x65124),x65122))
% 164.74/165.08 [6689]~E(x66892,x66894)+P107(f334(f334(f182(x66891),f334(f334(f161(x66891),x66892),x66893)),x66894))
% 164.74/165.08 [6691]~P119(x66911)+E(f334(f334(f90(x66911),f334(f334(f90(x66911),x66912),x66913)),x66914),f334(f334(f90(x66911),f334(f334(f90(x66911),x66912),x66914)),x66913))
% 164.74/165.08 [6692]~P119(x66921)+E(f334(f334(f89(x66921),f334(f334(f89(x66921),x66922),x66923)),x66924),f334(f334(f89(x66921),f334(f334(f89(x66921),x66922),x66924)),x66923))
% 164.74/165.08 [6752]~P146(x67522)+E(f334(f334(f6(x67521,x67522),f334(f16(x67522,x67521),x67523)),x67524),f334(f334(f90(x67522),f334(f113(x67522),f334(f44(x67521),x67524))),x67523))
% 164.74/165.08 [6917]E(f334(f334(f114(f926(x69171,a913)),f334(f334(f316(x69171),x69172),x69173)),x69174),f334(f334(f114(f926(x69171,a913)),x69173),x69174))+P107(f334(f334(f336(x69171),x69172),x69174))
% 164.74/165.08 [6985]~P79(x69851)+E(f334(f334(f246(x69851),f334(f334(f23(x69851),x69852),x69853)),f334(f334(f23(x69851),x69854),x69853)),f334(f334(f23(x69851),f334(f334(f246(x69851),x69852),x69854)),x69853))
% 164.74/165.08 [6986]~P79(x69861)+E(f334(f334(f247(x69861),f334(f334(f23(x69861),x69862),x69863)),f334(f334(f23(x69861),x69864),x69863)),f334(f334(f23(x69861),f334(f334(f247(x69861),x69862),x69864)),x69863))
% 164.74/165.08 [6987]~P101(x69871)+E(f334(f334(f114(x69871),f334(f334(f123(x69871),x69872),x69873)),f334(f334(f123(x69871),x69874),x69873)),f334(f334(f123(x69871),f334(f334(f114(x69871),x69872),x69874)),x69873))
% 164.74/165.08 [6988]~P101(x69881)+E(f334(f334(f123(x69881),f334(f334(f114(x69881),x69882),x69883)),f334(f334(f114(x69881),x69884),x69883)),f334(f334(f114(x69881),f334(f334(f123(x69881),x69882),x69884)),x69883))
% 164.74/165.08 [6989]~P116(x69891)+E(f334(f334(f89(x69891),f334(f334(f90(x69891),x69892),x69893)),f334(f334(f90(x69891),x69894),x69893)),f334(f334(f90(x69891),f334(f334(f89(x69891),x69892),x69894)),x69893))
% 164.74/165.08 [6991]~P89(x69911)+E(f334(f334(f246(x69911),f334(f334(f89(x69911),x69912),x69913)),f334(f334(f89(x69911),x69914),x69913)),f334(f334(f89(x69911),f334(f334(f246(x69911),x69912),x69914)),x69913))
% 164.74/165.08 [6992]~P89(x69921)+E(f334(f334(f247(x69921),f334(f334(f89(x69921),x69922),x69923)),f334(f334(f89(x69921),x69924),x69923)),f334(f334(f89(x69921),f334(f334(f247(x69921),x69922),x69924)),x69923))
% 164.74/165.08 [6993]~P110(x69931)+E(f334(f334(f247(x69931),f334(f334(f246(x69931),x69932),x69933)),f334(f334(f246(x69931),x69934),x69933)),f334(f334(f246(x69931),f334(f334(f247(x69931),x69932),x69934)),x69933))
% 164.74/165.08 [6994]~P76(x69941)+E(f334(f334(f90(x69941),f334(f334(f258(x69941),x69942),x69943)),f334(f334(f258(x69941),x69944),x69943)),f334(f334(f258(x69941),f334(f334(f90(x69941),x69942),x69944)),x69943))
% 164.74/165.08 [6995]~P119(x69951)+E(f334(f334(f90(x69951),f334(f334(f258(x69951),x69952),x69953)),f334(f334(f258(x69951),x69954),x69953)),f334(f334(f258(x69951),f334(f334(f90(x69951),x69952),x69954)),x69953))
% 164.74/165.08 [6996]~P65(x69961)+E(f334(f334(f297(x69961),f334(f334(f258(x69961),x69962),x69963)),f334(f334(f258(x69961),x69964),x69963)),f334(f334(f258(x69961),f334(f334(f297(x69961),x69962),x69964)),x69963))
% 164.74/165.08 [6997]~P110(x69971)+E(f334(f334(f246(x69971),f334(f334(f247(x69971),x69972),x69973)),f334(f334(f247(x69971),x69974),x69973)),f334(f334(f247(x69971),f334(f334(f246(x69971),x69972),x69974)),x69973))
% 164.74/165.08 [6998]~P120(x69981)+E(f334(f334(f23(x69981),f334(f334(f297(x69981),x69982),x69983)),f334(f334(f297(x69981),x69984),x69983)),f334(f334(f297(x69981),f334(f334(f23(x69981),x69982),x69984)),x69983))
% 164.74/165.08 [6999]~P120(x69991)+E(f334(f334(f89(x69991),f334(f334(f297(x69991),x69992),x69993)),f334(f334(f297(x69991),x69994),x69993)),f334(f334(f297(x69991),f334(f334(f89(x69991),x69992),x69994)),x69993))
% 164.74/165.08 [7000]~P119(x70001)+E(f334(f334(f89(x70001),f334(f334(f90(x70001),x70002),x70003)),f334(f334(f90(x70001),x70004),x70003)),f334(f334(f90(x70001),f334(f334(f89(x70001),x70002),x70004)),x70003))
% 164.74/165.08 [7031]E(f334(f334(f169(x70311,x70312),x70313),x70314),x70312)+~P107(f334(f334(f248(a919),f334(f199(f920(x70311)),x70312)),x70313))
% 164.74/165.08 [7056]~P107(f334(x70563,x70564))+P107(f334(f334(f334(f123(f926(x70561,a913)),x70562),x70563),x70564))
% 164.74/165.08 [7058]~P107(f334(x70582,x70584))+P107(f334(f334(f334(f123(f926(x70581,a913)),x70582),x70583),x70584))
% 164.74/165.08 [7078]E(f334(f334(f174(x70781),f334(f334(f144(x70781),x70782),x70783)),x70784),f334(f334(f174(x70781),x70782),x70784))+~P107(f334(f334(f249(a919),x70784),f334(f199(f920(x70781)),x70782)))
% 164.74/165.08 [7088]E(f334(f334(f23(f926(x70881,a913)),f334(f334(f316(x70881),x70882),x70883)),x70884),f334(f334(f23(f926(x70881,a913)),x70883),x70884))+~P107(f334(f334(f336(x70881),x70882),x70884))
% 164.74/165.08 [7128]~E(f149(a919,f334(f309(a919,x71281),x71282)),f334(f334(f161(a919),x71284),x71283))+E(f149(a919,f334(f309(a919,f334(f334(f89(a919),x71281),f87(a919))),x71282)),x71283)
% 164.74/165.08 [7150]~P107(f334(f334(f182(x71501),x71503),x71504))+P107(f334(f334(f182(x71501),f334(f334(f161(x71501),x71502),x71503)),x71504))
% 164.74/165.08 [7201]E(x72011,f2(a919))+E(f334(f334(f161(x72012),x72013),f334(f334(f185(x72012),f334(f334(f23(a919),x72011),f87(a919))),x72014)),f334(f334(f185(x72012),x72011),f334(f334(f161(x72012),x72013),x72014)))
% 164.74/165.08 [7301]E(f334(f334(f174(x73011),x73012),f334(f334(f23(a919),x73013),f334(f199(f920(x73011)),x73014))),f334(f334(f174(x73011),f334(f334(f144(x73011),x73014),x73012)),x73013))+P107(f334(f334(f249(a919),x73013),f334(f199(f920(x73011)),x73014)))
% 164.74/165.08 [7332]E(f334(f334(f114(f926(x73321,a913)),x73322),f334(f334(f316(x73321),x73323),x73324)),f334(f334(f316(x73321),x73323),f334(f334(f114(f926(x73321,a913)),x73322),x73324)))+~P107(f334(f334(f336(x73321),x73323),x73322))
% 164.74/165.08 [7368]E(f334(f334(f174(x73681),f334(f334(f169(x73681,x73682),x73683),x73684)),x73683),x73684)+~P107(f334(f334(f249(a919),x73683),f334(f199(f920(x73681)),x73682)))
% 164.74/165.08 [7389]E(x73891,f198(f926(x73892,a913)))+E(f334(f317(f925(x73893,x73892),x73893,f265(x73893,x73892)),f334(f334(f268(x73893,x73892),x73894),f334(f16(f926(x73892,a913),x73893),x73891))),x73894)
% 164.74/165.08 [7390]E(x73901,f198(f926(x73902,a913)))+E(f334(f317(f925(x73902,x73903),x73903,f269(x73902,x73903)),f334(f334(f268(x73902,x73903),x73901),f334(f16(f926(x73903,a913),x73902),x73904))),x73904)
% 164.74/165.08 [7461]E(f334(f334(f23(f926(x74611,a913)),f334(f334(f316(x74611),x74612),x74613)),x74614),f334(f334(f316(x74611),x74612),f334(f334(f23(f926(x74611,a913)),x74613),x74614)))+P107(f334(f334(f336(x74611),x74612),x74614))
% 164.74/165.08 [7491]P107(f334(x74911,x74912))+P107(f334(f334(f334(f334(a206,f33(x74911,x74913)),x74912),x74914),x74912))
% 164.74/165.08 [7498]~E(x74984,f198(f926(x74982,a913)))+E(f334(f317(f925(x74981,x74982),x74981,f265(x74981,x74982)),f334(f334(f268(x74981,x74982),x74983),f334(f16(f926(x74982,a913),x74981),x74984))),f198(f926(x74981,a913)))
% 164.74/165.08 [7499]~E(x74993,f198(f926(x74991,a913)))+E(f334(f317(f925(x74991,x74992),x74992,f269(x74991,x74992)),f334(f334(f268(x74991,x74992),x74993),f334(f16(f926(x74992,a913),x74991),x74994))),f198(f926(x74992,a913)))
% 164.74/165.08 [7551]~P107(f334(f334(f336(x75511),x75512),x75514))+P107(f334(f334(f336(x75511),x75512),f334(f334(f123(f926(x75511,a913)),x75513),x75514)))
% 164.74/165.08 [7554]~P107(f334(f334(f336(x75541),x75542),x75543))+P107(f334(f334(f336(x75541),x75542),f334(f334(f123(f926(x75541,a913)),x75543),x75544)))
% 164.74/165.08 [7572]E(f334(f334(f114(f926(x75721,a913)),f334(f334(f316(x75721),x75722),x75723)),x75724),f334(f334(f316(x75721),x75722),f334(f334(f114(f926(x75721,a913)),x75723),x75724)))+~P107(f334(f334(f336(x75721),x75722),x75724))
% 164.74/165.08 [7845]P107(f334(x78451,x78452))+~P107(f334(f334(f334(f114(f926(x78453,a913)),x78454),x78451),x78452))
% 164.74/165.08 [7846]P107(f334(x78461,x78462))+~P107(f334(f334(f334(f114(f926(x78463,a913)),x78461),x78464),x78462))
% 164.74/165.08 [7847]E(f334(f334(f6(x78471,a919),x78472),f334(f334(f23(f926(x78471,a913)),x78473),f334(f334(f316(x78471),x78474),f198(f926(x78471,a913))))),f334(f334(f6(x78471,a919),x78472),x78473))+P107(f334(f334(f336(x78471),x78474),x78473))
% 164.74/165.08 [7853]~P72(x78531)+E(f334(f175(x78531),f334(f334(f164(a919,x78531),x78532),f149(a919,f334(f309(a919,x78533),x78534)))),f334(f334(f6(a919,x78531),x78532),f334(f182(a919),f149(a919,f334(f309(a919,x78533),x78534)))))
% 164.74/165.08 [7854]~P72(x78541)+E(f334(f334(f6(a919,x78541),x78542),f334(f182(a919),f149(a919,f334(f309(a919,x78543),x78544)))),f334(f175(x78541),f334(f334(f164(a919,x78541),x78542),f149(a919,f334(f309(a919,x78543),x78544)))))
% 164.74/165.08 [7968]~E(x79683,x79684)+P107(f334(f71(x79681,x79682,f334(f334(f316(x79681),x79683),f198(f926(x79681,a913)))),x79684))
% 164.74/165.08 [8065]P107(f334(f334(f336(x80651),x80652),f334(f182(x80651),x80653)))+~P107(f334(f334(f336(x80651),x80652),f334(f182(x80651),f334(f334(f185(x80651),x80654),x80653))))
% 164.74/165.08 [8066]P107(f334(f334(f336(x80661),x80662),f334(f182(x80661),x80663)))+~P107(f334(f334(f336(x80661),x80662),f334(f182(x80661),f334(f334(f148(x80661),x80664),x80663))))
% 164.74/165.08 [8138]P107(f334(f334(f336(x81381),x81382),x81383))+~P107(f334(f334(f336(x81381),x81382),f334(f334(f23(f926(x81381,a913)),x81383),x81384)))
% 164.74/165.08 [8140]P107(f334(f334(f336(x81401),x81402),x81403))+~P107(f334(f334(f336(x81401),x81402),f334(f334(f114(f926(x81401,a913)),x81404),x81403)))
% 164.74/165.08 [8143]P107(f334(f334(f336(x81431),x81432),x81433))+~P107(f334(f334(f336(x81431),x81432),f334(f334(f114(f926(x81431,a913)),x81433),x81434)))
% 164.74/165.08 [8161]E(f334(f334(f144(x81611),f334(f334(f185(x81611),x81612),x81613)),f334(f334(f161(x81611),x81614),f334(f334(f148(x81611),f334(a125,x81612)),x81613))),f334(f334(f169(x81611,x81613),x81612),x81614))+~P107(f334(f334(f249(a919),x81612),f334(f199(f920(x81611)),x81613)))
% 164.74/165.08 [8184]P107(f334(f334(f336(x81841),x81842),x81843))+~P107(f334(f334(f248(f926(x81841,a913)),f334(f334(f316(x81841),x81842),x81844)),x81843))
% 164.74/165.08 [8220]~P107(f334(f334(f336(x82201),x82202),x82203))+~P107(f334(f334(f336(x82201),x82202),f334(f334(f23(f926(x82201,a913)),x82204),x82203)))
% 164.74/165.08 [8253]~P107(f334(f334(f249(a919),x82534),f334(f199(f920(x82531)),x82533)))+P107(f334(f334(f336(x82531),x82532),f334(f182(x82531),f334(f334(f169(x82531,x82533),x82534),x82532))))
% 164.74/165.08 [8305]E(f334(f334(f174(x83051),f334(f334(f148(x83051),x83052),x83053)),x83054),f334(f334(f174(x83051),x83053),f334(f334(f89(a919),x83052),x83054)))+~P107(f334(f334(f248(a919),f334(f334(f89(a919),x83052),x83054)),f334(f199(f920(x83051)),x83053)))
% 164.74/165.08 [8314]~P146(x83142)+E(f334(f334(f6(x83141,x83142),f334(f334(f8(a919,x83142,x83141),f113(x83142)),x83143)),x83144),f334(f113(x83142),f334(f334(f6(x83141,a919),x83143),x83144)))
% 164.74/165.08 [8315]~P142(x83152)+E(f334(f334(f6(x83151,x83152),f334(f334(f8(a1,x83152,x83151),f115(x83152)),x83153)),x83154),f334(f115(x83152),f334(f334(f6(x83151,a1),x83153),x83154)))
% 164.74/165.08 [8366]~P68(x83662)+E(f334(f334(f9(x83661,x83662),f334(f334(f8(x83662,x83662,x83661),f84(x83662)),x83663)),x83664),f334(f84(x83662),f334(f334(f9(x83661,x83662),x83663),x83664)))
% 164.74/165.08 [8367]~P63(x83672)+E(f334(f334(f6(x83671,x83672),f334(f334(f8(x83672,x83672,x83671),f88(x83672)),x83673)),x83674),f334(f88(x83672),f334(f334(f6(x83671,x83672),x83673),x83674)))
% 164.74/165.08 [8369]E(f334(f334(f6(x83691,a919),x83692),f334(f334(f23(f926(x83691,a913)),x83693),f334(f334(f316(x83691),x83694),f198(f926(x83691,a913))))),f334(f334(f23(a919),f334(f334(f6(x83691,a919),x83692),x83693)),f334(x83692,x83694)))+~P107(f334(f334(f336(x83691),x83694),x83693))
% 164.74/165.08 [8388]P107(f334(f334(f248(f926(x83881,a913)),x83882),x83883))+~P107(f334(f334(f248(f926(x83881,a913)),f334(f334(f316(x83881),x83884),x83882)),x83883))
% 164.74/165.08 [8510]~E(f334(f317(x85102,x85103,x85101),f256(f926(x85102,a913))),f256(f926(x85103,a913)))+E(f334(x85101,f334(f101(x85102,x85103,f256(f926(x85102,a913)),x85101),x85104)),x85104)
% 164.74/165.08 [8601]P38(x86011,x86012)+~P38(x86011,f334(f334(f316(f925(x86011,x86011)),f334(f334(f266(x86011,x86011),x86013),x86014)),x86012))
% 164.74/165.08 [8602]P57(x86021,x86022)+~P57(x86021,f334(f334(f316(f925(x86021,x86021)),f334(f334(f266(x86021,x86021),x86023),x86024)),x86022))
% 164.74/165.08 [8611]~P110(x86111)+E(f334(f334(f158(x86111,x86111,f5(x86111)),x86112),f334(f334(f158(x86111,x86111,f5(x86111)),x86113),x86114)),f334(f334(f158(x86111,x86111,f5(x86111)),x86113),f334(f334(f158(x86111,x86111,f5(x86111)),x86112),x86114)))
% 164.74/165.08 [8623]E(x86231,x86232)+~P107(f334(f71(x86233,x86234,f334(f334(f316(x86233),x86231),f198(f926(x86233,a913)))),x86232))
% 164.74/165.08 [8632]E(f334(f334(f144(x86321),f334(f334(f185(x86321),x86322),x86323)),f334(f334(f185(x86321),x86324),f334(f334(f148(x86321),x86322),x86323))),f334(f334(f185(x86321),f334(f334(f89(a919),x86322),x86324)),x86323))+~P107(f334(f334(f248(a919),f334(f334(f89(a919),x86322),x86324)),f334(f199(f920(x86321)),x86323)))
% 164.74/165.08 [8674]P107(f334(f70(x86741),x86742))+~E(x86742,f334(f317(a919,x86741,x86743),f334(f254(a919),f334(f334(f7(a919,a919,a913),f249(a919)),x86744))))
% 164.74/165.08 [8694]~P94(x86941)+E(f334(f152(x86941,x86941,f89(x86941),f334(f334(f89(x86941),x86942),x86943)),x86944),f334(f334(f89(x86941),x86942),f334(f152(x86941,x86941,f89(x86941),x86943),x86944)))
% 164.74/165.08 [8731]P107(f334(f334(f248(f926(x87311,a913)),f334(f264(x87311,x87312),x87313)),f334(f264(x87311,x87312),x87314)))+~P107(f334(f334(f248(f926(f925(x87311,x87312),a913)),x87313),x87314))
% 164.74/165.08 [8743]~P107(f334(f334(f248(a919),x87432),x87434))+P107(f334(f334(f248(f926(x87431,a913)),f334(f182(x87431),f334(f334(f185(x87431),x87432),x87433))),f334(f182(x87431),f334(f334(f185(x87431),x87434),x87433))))
% 164.74/165.08 [8744]~P107(f334(f334(f248(a919),x87444),x87442))+P107(f334(f334(f248(f926(x87441,a913)),f334(f182(x87441),f334(f334(f148(x87441),x87442),x87443))),f334(f182(x87441),f334(f334(f148(x87441),x87444),x87443))))
% 164.74/165.08 [8802]~P107(f334(f70(x88021),f334(f334(f23(f926(x88021,a913)),x88022),x88024)))+P107(f334(f70(x88021),f334(f334(f23(f926(x88021,a913)),x88022),f334(f334(f316(x88021),x88023),x88024))))
% 164.74/165.08 [8844]P107(f334(f334(f336(f925(x88441,x88441)),x88442),f314(x88441,x88443)))+~P107(f334(f334(f336(f925(x88441,x88441)),x88442),f334(f334(f193(f925(x88441,x88441),a913),x88444),x88443)))
% 164.74/165.08 [8928]~P107(f334(f70(x89281),f334(f334(f23(f926(x89281,a913)),x89282),f334(f334(f316(x89281),x89284),x89283))))+P107(f334(f70(x89281),f334(f334(f23(f926(x89281,a913)),x89282),x89283)))
% 164.74/165.08 [9150]~P83(x91501)+P107(f334(f334(f248(x91501),f334(f334(f123(x91501),x91502),f334(f334(f114(x91501),x91503),x91504))),f334(f334(f114(x91501),f334(f334(f123(x91501),x91502),x91503)),f334(f334(f123(x91501),x91502),x91504))))
% 164.74/165.08 [9151]~P110(x91511)+P107(f334(f334(f248(x91511),f334(f334(f247(x91511),x91512),f334(f334(f246(x91511),x91513),x91514))),f334(f334(f246(x91511),f334(f334(f247(x91511),x91512),x91513)),f334(f334(f247(x91511),x91512),x91514))))
% 164.74/165.08 [9304]E(x93041,x93042)+~P107(f334(f334(f336(f925(x93043,x93043)),f334(f334(f266(x93043,x93043),x93041),x93042)),f334(f182(f925(x93043,x93043)),f334(f334(f191(x93043,x93043),x93044),x93044))))
% 164.74/165.08 [9333]~P107(f334(f334(f336(f925(x93331,x93331)),f334(f334(f266(x93331,x93331),x93333),x93332)),f314(x93331,x93334)))+~P38(x93331,f334(f334(f316(f925(x93331,x93331)),f334(f334(f266(x93331,x93331),x93332),x93333)),x93334))
% 164.74/165.08 [9334]~P107(f334(f334(f336(f925(x93341,x93341)),f334(f334(f266(x93341,x93341),x93343),x93342)),f314(x93341,x93344)))+~P57(x93341,f334(f334(f316(f925(x93341,x93341)),f334(f334(f266(x93341,x93341),x93342),x93343)),x93344))
% 164.74/165.08 [9338]E(x93381,x93382)+E(f334(f146(x93383,f334(f334(f8(a913,a913,x93383),a329),f334(a331,x93381))),f334(f334(f161(x93383),x93382),x93384)),f334(f334(f161(x93383),x93382),f334(f146(x93383,f334(f334(f8(a913,a913,x93383),a329),f334(a331,x93381))),x93384)))
% 164.74/165.08 [9366]~P24(x93662,x93661,x93663,f256(f926(x93662,a913)),f256(f926(x93661,a913)))+E(f334(f317(x93661,x93662,f101(x93662,x93661,f256(f926(x93662,a913)),x93663)),x93664),f334(f318(x93662,x93661,x93663),x93664))
% 164.74/165.08 [9382]~P83(x93821)+P107(f334(f334(f248(x93821),f334(f334(f123(x93821),f334(f334(f114(x93821),x93822),x93823)),f334(f334(f114(x93821),x93822),x93824))),f334(f334(f114(x93821),x93822),f334(f334(f123(x93821),x93823),x93824))))
% 164.74/165.08 [9383]~P110(x93831)+P107(f334(f334(f248(x93831),f334(f334(f247(x93831),f334(f334(f246(x93831),x93832),x93833)),f334(f334(f246(x93831),x93832),x93834))),f334(f334(f246(x93831),x93832),f334(f334(f247(x93831),x93833),x93834))))
% 164.74/165.08 [9446]~P24(x94462,x94461,x94464,f256(f926(x94462,a913)),f256(f926(x94461,a913)))+E(f334(f254(x94461),f334(f334(f8(x94462,a913,x94461),x94463),f101(x94462,x94461,f256(f926(x94462,a913)),x94464))),f334(f317(x94462,x94461,x94464),f334(f254(x94462),x94463)))
% 164.74/165.08 [9462]~E(f334(f317(x94622,x94621,x94623),f256(f926(x94622,a913))),f256(f926(x94621,a913)))+P107(f334(f334(f248(f926(x94621,a913)),f334(f88(f926(x94621,a913)),f334(f317(x94622,x94621,x94623),x94624))),f334(f317(x94622,x94621,x94623),f334(f88(f926(x94622,a913)),x94624))))
% 164.74/165.08 [9803]P107(f334(f334(f336(f925(x98031,x98031)),f334(f334(f266(x98031,x98031),x98032),x98033)),f334(f294(x98031,x98031),f334(f334(f296(x98031,x98031,x98031),x98034),f314(x98031,x98034)))))+~P107(f334(f334(f336(f925(x98031,x98031)),f334(f334(f266(x98031,x98031),x98032),x98033)),f334(f334(f296(x98031,x98031,x98031),f334(f294(x98031,x98031),x98034)),f314(x98031,f334(f294(x98031,x98031),x98034)))))
% 164.74/165.08 [9804]~P107(f334(f334(f336(f925(x98041,x98041)),f334(f334(f266(x98041,x98041),x98042),x98043)),f334(f294(x98041,x98041),f334(f334(f296(x98041,x98041,x98041),x98044),f314(x98041,x98044)))))+P107(f334(f334(f336(f925(x98041,x98041)),f334(f334(f266(x98041,x98041),x98042),x98043)),f334(f334(f296(x98041,x98041,x98041),f334(f294(x98041,x98041),x98044)),f314(x98041,f334(f294(x98041,x98041),x98044)))))
% 164.74/165.08 [9825]~P107(f334(f334(f336(x98252),x98254),f334(f292(x98251,x98252),x98253)))+P107(f334(f334(f336(f925(x98251,x98252)),f334(f334(f266(x98251,x98252),f352(x98253,x98251,x98254,x98252)),x98254)),x98253))
% 164.74/165.08 [9826]~P107(f334(f334(f336(x98262),x98264),f334(f292(x98261,x98262),x98263)))+P107(f334(f334(f336(f925(x98261,x98262)),f334(f334(f266(x98261,x98262),f354(x98263,x98261,x98264,x98262)),x98264)),x98263))
% 164.74/165.08 [9851]~P107(f334(f334(f336(x98511),x98514),f334(f334(f123(f926(x98511,a913)),x98512),x98513)))+P107(f334(f334(f334(f123(f926(x98511,a913)),f334(f334(f7(x98511,f926(x98511,a913),a913),f336(x98511)),x98512)),f334(f334(f7(x98511,f926(x98511,a913),a913),f336(x98511)),x98513)),x98514))
% 164.74/165.08 [9852]~P107(f334(f334(f336(x98521),x98524),f334(f334(f114(f926(x98521,a913)),x98522),x98523)))+P107(f334(f334(f334(f114(f926(x98521,a913)),f334(f334(f7(x98521,f926(x98521,a913),a913),f336(x98521)),x98522)),f334(f334(f7(x98521,f926(x98521,a913),a913),f336(x98521)),x98523)),x98524))
% 164.74/165.08 [9932]~P107(f334(f334(f336(f925(x99321,x99321)),f334(f334(f266(x99321,x99321),x99324),x99323)),f334(f334(f296(x99321,x99321,x99321),x99322),f314(x99321,x99322))))+P107(f334(f334(f336(f925(x99321,x99321)),f334(f334(f266(x99321,x99321),f674(x99322,x99323,x99324,x99321)),x99323)),x99322))
% 164.74/165.08 [9971]P107(f334(f334(f336(x99711),x99712),f334(f334(f123(f926(x99711,a913)),x99713),x99714)))+~P107(f334(f334(f334(f123(f926(x99711,a913)),f334(f334(f7(x99711,f926(x99711,a913),a913),f336(x99711)),x99713)),f334(f334(f7(x99711,f926(x99711,a913),a913),f336(x99711)),x99714)),x99712))
% 164.74/165.08 [9972]P107(f334(f334(f336(x99721),x99722),f334(f334(f114(f926(x99721,a913)),x99723),x99724)))+~P107(f334(f334(f334(f114(f926(x99721,a913)),f334(f334(f7(x99721,f926(x99721,a913),a913),f336(x99721)),x99723)),f334(f334(f7(x99721,f926(x99721,a913),a913),f336(x99721)),x99724)),x99722))
% 164.74/165.08 [10250]P33(x102501,f334(f334(f7(x102501,f926(f925(x102501,x102501),a913),f926(x102501,a913)),f334(f334(f8(f926(x102501,f926(f926(f925(x102501,x102501),a913),a913)),f926(f926(f925(x102501,x102501),a913),f926(x102501,a913)),x102501),f7(x102501,f926(f925(x102501,x102501),a913),a913)),f334(f334(f8(f926(x102501,f925(x102501,x102501)),f926(x102501,f926(f926(f925(x102501,x102501),a913),a913)),x102501),f334(f8(f925(x102501,x102501),f926(f926(f925(x102501,x102501),a913),a913),x102501),f336(f925(x102501,x102501)))),f266(x102501,x102501)))),x102502),x102503,x102504)+~P107(f334(f334(f336(f925(f920(x102501),f920(x102501))),f334(f334(f266(f920(x102501),f920(x102501)),x102503),x102504)),f168(x102501,x102502)))
% 164.74/165.08 [10254]P58(x102541,f334(f334(f7(x102541,f926(f925(x102541,x102541),a913),f926(x102541,a913)),f334(f334(f8(f926(x102541,f926(f926(f925(x102541,x102541),a913),a913)),f926(f926(f925(x102541,x102541),a913),f926(x102541,a913)),x102541),f7(x102541,f926(f925(x102541,x102541),a913),a913)),f334(f334(f8(f926(x102541,f925(x102541,x102541)),f926(x102541,f926(f926(f925(x102541,x102541),a913),a913)),x102541),f334(f8(f925(x102541,x102541),f926(f926(f925(x102541,x102541),a913),a913),x102541),f336(f925(x102541,x102541)))),f266(x102541,x102541)))),x102542),x102543,x102544)+~P107(f334(f334(f336(f925(f926(x102541,a913),f926(x102541,a913))),f334(f334(f266(f926(x102541,a913),f926(x102541,a913)),x102543),x102544)),f326(x102541,x102542)))
% 164.74/165.08 [10285]E(x102851,x102852)+~E(f334(f334(f7(x102853,f926(f925(x102853,x102854),a913),f926(x102854,a913)),f334(f334(f8(f926(x102854,f926(f926(f925(x102853,x102854),a913),a913)),f926(f926(f925(x102853,x102854),a913),f926(x102854,a913)),x102853),f7(x102854,f926(f925(x102853,x102854),a913),a913)),f334(f334(f8(f926(x102854,f925(x102853,x102854)),f926(x102854,f926(f926(f925(x102853,x102854),a913),a913)),x102853),f334(f8(f925(x102853,x102854),f926(f926(f925(x102853,x102854),a913),a913),x102854),f336(f925(x102853,x102854)))),f266(x102853,x102854)))),x102851),f334(f334(f7(x102853,f926(f925(x102853,x102854),a913),f926(x102854,a913)),f334(f334(f8(f926(x102854,f926(f926(f925(x102853,x102854),a913),a913)),f926(f926(f925(x102853,x102854),a913),f926(x102854,a913)),x102853),f7(x102854,f926(f925(x102853,x102854),a913),a913)),f334(f334(f8(f926(x102854,f925(x102853,x102854)),f926(x102854,f926(f926(f925(x102853,x102854),a913),a913)),x102853),f334(f8(f925(x102853,x102854),f926(f926(f925(x102853,x102854),a913),a913),x102854),f336(f925(x102853,x102854)))),f266(x102853,x102854)))),x102852))
% 164.74/165.08 [10289]~P33(x102891,f334(f334(f7(x102891,f926(f925(x102891,x102891),a913),f926(x102891,a913)),f334(f334(f8(f926(x102891,f926(f926(f925(x102891,x102891),a913),a913)),f926(f926(f925(x102891,x102891),a913),f926(x102891,a913)),x102891),f7(x102891,f926(f925(x102891,x102891),a913),a913)),f334(f334(f8(f926(x102891,f925(x102891,x102891)),f926(x102891,f926(f926(f925(x102891,x102891),a913),a913)),x102891),f334(f8(f925(x102891,x102891),f926(f926(f925(x102891,x102891),a913),a913),x102891),f336(f925(x102891,x102891)))),f266(x102891,x102891)))),x102894),x102892,x102893)+P107(f334(f334(f336(f925(f920(x102891),f920(x102891))),f334(f334(f266(f920(x102891),f920(x102891)),x102892),x102893)),f168(x102891,x102894)))
% 164.74/165.08 [10290]~P58(x102901,f334(f334(f7(x102901,f926(f925(x102901,x102901),a913),f926(x102901,a913)),f334(f334(f8(f926(x102901,f926(f926(f925(x102901,x102901),a913),a913)),f926(f926(f925(x102901,x102901),a913),f926(x102901,a913)),x102901),f7(x102901,f926(f925(x102901,x102901),a913),a913)),f334(f334(f8(f926(x102901,f925(x102901,x102901)),f926(x102901,f926(f926(f925(x102901,x102901),a913),a913)),x102901),f334(f8(f925(x102901,x102901),f926(f926(f925(x102901,x102901),a913),a913),x102901),f336(f925(x102901,x102901)))),f266(x102901,x102901)))),x102904),x102902,x102903)+P107(f334(f334(f336(f925(f926(x102901,a913),f926(x102901,a913))),f334(f334(f266(f926(x102901,a913),f926(x102901,a913)),x102902),x102903)),f326(x102901,x102904)))
% 164.74/165.08 [7622]~P97(x76221)+E(f334(f334(f90(x76221),f334(f116(x76221),x76222)),f334(f334(f90(x76221),f334(f116(x76221),x76223)),x76224)),f334(f334(f90(x76221),f334(f116(x76221),f334(f334(f90(a1),x76222),x76223))),x76224))
% 164.74/165.08 [7623]~P97(x76231)+E(f334(f334(f89(x76231),f334(f116(x76231),x76232)),f334(f334(f23(x76231),f334(f116(x76231),x76233)),x76234)),f334(f334(f23(x76231),f334(f116(x76231),f334(f334(f89(a1),x76232),x76233))),x76234))
% 164.74/165.08 [7624]~P97(x76241)+E(f334(f334(f89(x76241),f334(f116(x76241),x76242)),f334(f334(f89(x76241),f334(f116(x76241),x76243)),x76244)),f334(f334(f89(x76241),f334(f116(x76241),f334(f334(f89(a1),x76242),x76243))),x76244))
% 164.74/165.08 [7664]~P146(x76641)+E(f334(f175(x76641),f334(f334(f164(x76642,x76641),f334(f16(x76641,x76642),x76643)),x76644)),f334(f334(f90(x76641),f334(f113(x76641),f334(f199(f920(x76642)),x76644))),x76643))
% 164.74/165.08 [7901]E(f334(f278(x79011,f334(f334(f161(f925(a112,x79011)),x79012),x79013)),x79014),f334(f269(a112,x79011),x79012))+~P107(f334(f334(f249(a112),x79014),f334(f265(a112,x79011),x79012)))
% 164.74/165.08 [7946]~P97(x79461)+E(f334(f334(f89(x79461),f334(f116(x79461),x79462)),f334(f334(f23(x79461),x79463),f334(f116(x79461),x79464))),f334(f334(f89(x79461),f334(f116(x79461),f334(f334(f89(a1),x79462),f334(f88(a1),x79464)))),x79463))
% 164.74/165.08 [8078]E(f334(f278(x80781,x80782),f334(f334(f23(a112),x80783),f334(f265(a112,x80781),x80784))),f334(f278(x80781,f334(f334(f161(f925(a112,x80781)),x80784),x80782)),x80783))+P107(f334(f334(f249(a112),x80783),f334(f265(a112,x80781),x80784)))
% 164.74/165.08 [8516]~P107(f334(f334(f336(x85161),x85162),f334(f182(x85161),f127(x85161,x85164))))+P107(f334(f334(f336(x85161),x85162),f334(f182(x85161),f127(x85161,f334(f334(f144(x85161),x85163),x85164)))))
% 164.74/165.08 [8517]~P107(f334(f334(f336(x85171),x85172),f334(f182(x85171),f127(x85171,x85173))))+P107(f334(f334(f336(x85171),x85172),f334(f182(x85171),f127(x85171,f334(f334(f144(x85171),x85173),x85174)))))
% 164.74/165.08 [8539]E(f334(f334(f123(f926(x85391,a913)),f334(f334(f114(f926(x85391,a913)),x85392),x85393)),x85394),f334(f334(f114(f926(x85391,a913)),x85392),f334(f334(f123(f926(x85391,a913)),x85393),x85394)))+~P107(f334(f334(f248(f926(x85391,a913)),x85394),x85392))
% 164.74/165.08 [8858]~E(f334(f334(f123(f926(x88581,a913)),f334(f334(f114(f926(x88581,a913)),x88583),x88584)),x88582),f334(f334(f114(f926(x88581,a913)),x88583),f334(f334(f123(f926(x88581,a913)),x88584),x88582)))+P107(f334(f334(f248(f926(x88581,a913)),x88582),x88583))
% 164.74/165.08 [9157]~P107(f334(f334(f248(f926(x91571,a913)),x91572),f334(f334(f123(f926(x91571,a913)),x91573),x91574)))+P107(f334(f334(f248(f926(x91571,a913)),f334(f334(f23(f926(x91571,a913)),x91572),x91573)),x91574))
% 164.74/165.08 [9275]~E(f334(f317(x92751,x92752,x92753),f256(f926(x92751,a913))),f256(f926(x92752,a913)))+E(f334(f317(x92751,x92752,x92753),f334(f317(x92752,x92751,f101(x92751,x92752,f256(f926(x92751,a913)),x92753)),x92754)),x92754)
% 164.74/165.08 [9280]P107(f334(f334(f248(f926(x92801,a913)),x92802),f334(f334(f123(f926(x92801,a913)),x92803),x92804)))+~P107(f334(f334(f248(f926(x92801,a913)),f334(f334(f23(f926(x92801,a913)),x92802),x92803)),x92804))
% 164.74/165.08 [9362]~P91(x93621)+E(f334(f84(x93621),f334(f334(f6(x93622,x93621),f334(f334(f8(x93621,x93621,x93622),f84(x93621)),x93623)),x93624)),f334(f334(f6(x93622,x93621),f334(f334(f8(x93621,x93621,x93622),f84(x93621)),x93623)),x93624))
% 164.74/165.08 [9541]~P91(x95411)+P107(f334(f334(f248(x95411),f2(x95411)),f334(f334(f6(x95412,x95411),f334(f334(f8(x95411,x95411,x95412),f84(x95411)),x95413)),x95414)))
% 164.74/165.08 [9545]~P63(x95451)+E(f334(f175(x95451),f334(f334(f164(x95452,x95451),f334(f81(x95451,x95451,x95452,f88(x95451)),x95453)),x95454)),f334(f88(x95451),f334(f175(x95451),f334(f334(f164(x95452,x95451),x95453),x95454))))
% 164.74/165.08 [9690]~P91(x96901)+P107(f334(f334(f248(x96901),f334(f84(x96901),f334(f334(f6(x96902,x96901),x96903),x96904))),f334(f334(f6(x96902,x96901),f334(f334(f8(x96901,x96901,x96902),f84(x96901)),x96903)),x96904)))
% 164.74/165.08 [9726]~E(f334(f334(f89(a919),x97261),x97264),f334(f334(f89(a919),x97263),x97262))+P107(f334(f334(f336(f925(f925(a919,a919),f925(a919,a919))),f334(f334(f266(f925(a919,a919),f925(a919,a919)),f334(f334(f266(a919,a919),x97261),x97262)),f334(f334(f266(a919,a919),x97263),x97264))),a121))
% 164.74/165.08 [9727]~P107(f334(f334(f249(a919),x97271),x97273))+P107(f334(f334(f336(f925(f925(a919,a919),f925(a919,a919))),f334(f334(f266(f925(a919,a919),f925(a919,a919)),f334(f334(f266(a919,a919),x97271),x97272)),f334(f334(f266(a919,a919),x97273),x97274))),a41))
% 164.74/165.08 [9728]~P107(f334(f334(f249(a919),x97281),x97283))+P107(f334(f334(f336(f925(f925(a919,a919),f925(a919,a919))),f334(f334(f266(f925(a919,a919),f925(a919,a919)),f334(f334(f266(a919,a919),x97281),x97282)),f334(f334(f266(a919,a919),x97283),x97284))),a79))
% 164.74/165.08 [9875]E(f334(f334(f89(a919),x98751),x98752),f334(f334(f89(a919),x98753),x98754))+~P107(f334(f334(f336(f925(f925(a919,a919),f925(a919,a919))),f334(f334(f266(f925(a919,a919),f925(a919,a919)),f334(f334(f266(a919,a919),x98751),x98754)),f334(f334(f266(a919,a919),x98753),x98752))),a121))
% 164.74/165.08 [9905]E(f334(f334(f174(x99051),f334(f334(f148(x99051),f334(f199(f920(x99051)),f187(x99051,x99052,x99053))),x99053)),x99054),f334(f334(f174(x99051),x99053),f334(f334(f89(a919),x99054),f334(f199(f920(x99051)),f187(x99051,x99052,x99053)))))+~P107(f334(f334(f249(a919),x99054),f334(f199(f920(x99051)),f334(f334(f148(x99051),f334(f199(f920(x99051)),f187(x99051,x99052,x99053))),x99053))))
% 164.74/165.08 [9922]~P107(f334(f334(f336(x99222),x99224),f334(f334(f48(x99221,f926(x99222,a913)),f256(f926(x99221,a913))),x99223)))+P107(f334(f334(f334(f48(x99221,f926(x99222,a913)),f256(f926(x99221,a913))),f334(f334(f8(f926(x99222,a913),f926(x99222,a913),x99221),f334(f7(x99222,f926(x99222,a913),a913),f336(x99222))),x99223)),x99224))
% 164.74/165.08 [9923]~P107(f334(f334(f336(x99232),x99234),f334(f334(f49(x99231,f926(x99232,a913)),f256(f926(x99231,a913))),x99233)))+P107(f334(f334(f334(f49(x99231,f926(x99232,a913)),f256(f926(x99231,a913))),f334(f334(f8(f926(x99232,a913),f926(x99232,a913),x99231),f334(f7(x99232,f926(x99232,a913),a913),f336(x99232))),x99233)),x99234))
% 164.74/165.08 [9998]~P107(f334(f58(x99981,x99982),f334(f334(f266(a1,a1),x99984),x99983)))+P107(f334(f58(f334(f88(a1),x99981),x99982),f334(f334(f266(a1,a1),f334(f334(f334(f109(a1),f334(f334(a331,x99983),f2(a1))),f334(f88(a1),x99984)),f334(f334(f23(a1),f334(f88(a1),x99984)),f87(a1)))),f334(f334(f334(f109(a1),f334(f334(a331,x99983),f2(a1))),f2(a1)),f334(f334(f23(a1),x99982),x99983)))))
% 164.74/165.08 [10008]P107(f334(f334(f336(x100081),x100082),f334(f334(f48(x100083,f926(x100081,a913)),f256(f926(x100083,a913))),x100084)))+~P107(f334(f334(f334(f48(x100083,f926(x100081,a913)),f256(f926(x100083,a913))),f334(f334(f8(f926(x100081,a913),f926(x100081,a913),x100083),f334(f7(x100081,f926(x100081,a913),a913),f336(x100081))),x100084)),x100082))
% 164.74/165.08 [10009]P107(f334(f334(f336(x100091),x100092),f334(f334(f49(x100093,f926(x100091,a913)),f256(f926(x100093,a913))),x100094)))+~P107(f334(f334(f334(f49(x100093,f926(x100091,a913)),f256(f926(x100093,a913))),f334(f334(f8(f926(x100091,a913),f926(x100091,a913),x100093),f334(f7(x100091,f926(x100091,a913),a913),f336(x100091))),x100094)),x100092))
% 164.74/165.08 [10021]E(f334(f334(f48(a919,f926(x100211,a913)),f256(f926(a919,a913))),x100212),f334(f334(f48(a919,f926(x100211,a913)),f256(f926(a919,a913))),x100213))+~E(f334(f334(f48(a919,f926(x100211,a913)),f334(f309(a919,f2(a919)),f504(x100212,x100214,x100213,x100211))),x100213),f334(f334(f48(a919,f926(x100211,a913)),f334(f309(a919,f2(a919)),f334(f334(f89(a919),f504(x100212,x100214,x100213,x100211)),x100214))),x100212))
% 164.74/165.08 [10360]~P107(f334(f334(f248(f926(f925(x103601,x103602),a913)),x103603),x103604))+P107(f334(f334(f248(f926(x103601,f926(x103602,a913))),f334(f334(f7(x103601,f926(f925(x103601,x103602),a913),f926(x103602,a913)),f334(f334(f8(f926(x103602,f926(f926(f925(x103601,x103602),a913),a913)),f926(f926(f925(x103601,x103602),a913),f926(x103602,a913)),x103601),f7(x103602,f926(f925(x103601,x103602),a913),a913)),f334(f334(f8(f926(x103602,f925(x103601,x103602)),f926(x103602,f926(f926(f925(x103601,x103602),a913),a913)),x103601),f334(f8(f925(x103601,x103602),f926(f926(f925(x103601,x103602),a913),a913),x103602),f336(f925(x103601,x103602)))),f266(x103601,x103602)))),x103603)),f334(f334(f7(x103601,f926(f925(x103601,x103602),a913),f926(x103602,a913)),f334(f334(f8(f926(x103602,f926(f926(f925(x103601,x103602),a913),a913)),f926(f926(f925(x103601,x103602),a913),f926(x103602,a913)),x103601),f7(x103602,f926(f925(x103601,x103602),a913),a913)),f334(f334(f8(f926(x103602,f925(x103601,x103602)),f926(x103602,f926(f926(f925(x103601,x103602),a913),a913)),x103601),f334(f8(f925(x103601,x103602),f926(f926(f925(x103601,x103602),a913),a913),x103602),f336(f925(x103601,x103602)))),f266(x103601,x103602)))),x103604)))
% 164.74/165.08 [10377]P107(f334(f334(f248(f926(f925(x103771,x103772),a913)),x103773),x103774))+~P107(f334(f334(f248(f926(x103771,f926(x103772,a913))),f334(f334(f7(x103771,f926(f925(x103771,x103772),a913),f926(x103772,a913)),f334(f334(f8(f926(x103772,f926(f926(f925(x103771,x103772),a913),a913)),f926(f926(f925(x103771,x103772),a913),f926(x103772,a913)),x103771),f7(x103772,f926(f925(x103771,x103772),a913),a913)),f334(f334(f8(f926(x103772,f925(x103771,x103772)),f926(x103772,f926(f926(f925(x103771,x103772),a913),a913)),x103771),f334(f8(f925(x103771,x103772),f926(f926(f925(x103771,x103772),a913),a913),x103772),f336(f925(x103771,x103772)))),f266(x103771,x103772)))),x103773)),f334(f334(f7(x103771,f926(f925(x103771,x103772),a913),f926(x103772,a913)),f334(f334(f8(f926(x103772,f926(f926(f925(x103771,x103772),a913),a913)),f926(f926(f925(x103771,x103772),a913),f926(x103772,a913)),x103771),f7(x103772,f926(f925(x103771,x103772),a913),a913)),f334(f334(f8(f926(x103772,f925(x103771,x103772)),f926(x103772,f926(f926(f925(x103771,x103772),a913),a913)),x103771),f334(f8(f925(x103771,x103772),f926(f926(f925(x103771,x103772),a913),a913),x103772),f336(f925(x103771,x103772)))),f266(x103771,x103772)))),x103774)))
% 164.74/165.08 [9413]~P107(f334(f334(f336(f925(x94131,x94131)),x94132),f314(x94131,x94134)))+P107(f334(f334(f336(f925(x94131,x94131)),x94132),f314(x94131,f334(f334(f123(f926(f925(x94131,x94131),a913)),x94133),x94134))))
% 164.74/165.08 [9414]~P107(f334(f334(f336(f925(x94141,x94141)),x94142),f314(x94141,x94143)))+P107(f334(f334(f336(f925(x94141,x94141)),x94142),f314(x94141,f334(f334(f123(f926(f925(x94141,x94141),a913)),x94143),x94144))))
% 164.74/165.08 [10116]~P107(f334(f334(f248(a919),f334(f334(f89(a919),x101161),x101164)),f334(f334(f89(a919),x101163),x101162)))+P107(f334(f334(f248(a1),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x101161),x101162)),f198(f926(f925(a919,a919),a913)))))),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x101163),x101164)),f198(f926(f925(a919,a919),a913)))))))
% 164.74/165.08 [10117]~P107(f334(f334(f249(a919),f334(f334(f89(a919),x101171),x101174)),f334(f334(f89(a919),x101173),x101172)))+P107(f334(f334(f249(a1),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x101171),x101172)),f198(f926(f925(a919,a919),a913)))))),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x101173),x101174)),f198(f926(f925(a919,a919),a913)))))))
% 164.74/165.08 [10194]P107(f334(f334(f248(a919),f334(f334(f89(a919),x101941),x101942)),f334(f334(f89(a919),x101943),x101944)))+~P107(f334(f334(f248(a1),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x101941),x101944)),f198(f926(f925(a919,a919),a913)))))),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x101943),x101942)),f198(f926(f925(a919,a919),a913)))))))
% 164.74/165.08 [10195]P107(f334(f334(f249(a919),f334(f334(f89(a919),x101951),x101952)),f334(f334(f89(a919),x101953),x101954)))+~P107(f334(f334(f249(a1),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x101951),x101954)),f198(f926(f925(a919,a919),a913)))))),f334(a98,f334(f293(f925(a919,a919),f925(a919,a919),a121),f334(f334(f316(f925(a919,a919)),f334(f334(f266(a919,a919),x101953),x101952)),f198(f926(f925(a919,a919),a913)))))))
% 164.74/165.08 [10235]P107(f334(f334(f248(f926(x102351,a913)),f334(f334(f48(a919,f926(x102351,a913)),f256(f926(a919,a913))),x102352)),f334(f334(f48(a919,f926(x102351,a913)),f256(f926(a919,a913))),x102353)))+~P107(f334(f334(f248(f926(x102351,a913)),f334(f334(f48(a919,f926(x102351,a913)),f334(f309(a919,f2(a919)),f505(x102353,x102354,x102352,x102351))),x102352)),f334(f334(f48(a919,f926(x102351,a913)),f334(f309(a919,f2(a919)),f334(f334(f89(a919),f505(x102353,x102354,x102352,x102351)),x102354))),x102353)))
% 164.74/165.08 [10293]P107(f334(f334(f248(a112),x102934),f2(a112)))+E(f334(f334(f272(f925(a112,a112),f925(x102931,f926(a922,a330)),f925(a112,a112),f925(f926(a112,f926(a913,f923(f921(x102931)))),f925(a112,a112))),f334(x102932,x102933)),f334(f334(f8(f926(f926(a112,f926(a913,f923(f921(x102931)))),f926(f925(a112,a112),f925(f926(a112,f926(a913,f923(f921(x102931)))),f925(a112,a112)))),f926(f925(a112,a112),f925(f926(a112,f926(a913,f923(f921(x102931)))),f925(a112,a112))),f925(x102931,f926(a922,a330))),f334(f272(f925(a112,a112),f926(a112,f926(a913,f923(f921(x102931)))),f925(a112,a112),f925(f926(a112,f926(a913,f923(f921(x102931)))),f925(a112,a112))),f285(x102931,x102932,f334(f334(f23(a112),x102934),f87(a112)),x102933))),f334(f334(f8(f926(f926(a112,f926(a913,f923(f921(x102931)))),f926(a112,f926(a913,f923(f921(x102931))))),f926(f926(a112,f926(a913,f923(f921(x102931)))),f926(f925(a112,a112),f925(f926(a112,f926(a913,f923(f921(x102931)))),f925(a112,a112)))),f925(x102931,f926(a922,a330))),f334(f8(f926(a112,f926(a913,f923(f921(x102931)))),f926(f925(a112,a112),f925(f926(a112,f926(a913,f923(f921(x102931)))),f925(a112,a112))),f926(a112,f926(a913,f923(f921(x102931))))),f266(f926(a112,f926(a913,f923(f921(x102931)))),f925(a112,a112)))),f334(f334(f8(f926(a112,f926(a913,f923(f921(x102931)))),f926(f926(a112,f926(a913,f923(f921(x102931)))),f926(a112,f926(a913,f923(f921(x102931))))),f925(x102931,f926(a922,a330))),f53(x102931)),f334(f334(f8(x102931,f926(a112,f926(a913,f923(f921(x102931)))),f925(x102931,f926(a922,a330))),f51(x102931)),f265(x102931,f926(a922,a330))))))),f285(x102931,x102932,x102934,x102933))
% 164.74/165.08 [10349]~P107(f334(f334(f336(x103492),x103494),f334(f292(x103491,x103492),x103493)))+P107(f334(f263(x103491,x103492,f334(f334(f7(x103491,f926(f925(x103491,x103492),a913),f926(x103492,a913)),f334(f334(f8(f926(x103492,f926(f926(f925(x103491,x103492),a913),a913)),f926(f926(f925(x103491,x103492),a913),f926(x103492,a913)),x103491),f7(x103492,f926(f925(x103491,x103492),a913),a913)),f334(f334(f8(f926(x103492,f925(x103491,x103492)),f926(x103492,f926(f926(f925(x103491,x103492),a913),a913)),x103491),f334(f8(f925(x103491,x103492),f926(f926(f925(x103491,x103492),a913),a913),x103492),f336(f925(x103491,x103492)))),f266(x103491,x103492)))),x103493)),x103494))
% 164.74/165.08 [10350]~P107(f334(f334(f336(x103501),x103504),f334(f264(x103501,x103502),x103503)))+P107(f334(f262(x103501,x103502,f334(f334(f7(x103501,f926(f925(x103501,x103502),a913),f926(x103502,a913)),f334(f334(f8(f926(x103502,f926(f926(f925(x103501,x103502),a913),a913)),f926(f926(f925(x103501,x103502),a913),f926(x103502,a913)),x103501),f7(x103502,f926(f925(x103501,x103502),a913),a913)),f334(f334(f8(f926(x103502,f925(x103501,x103502)),f926(x103502,f926(f926(f925(x103501,x103502),a913),a913)),x103501),f334(f8(f925(x103501,x103502),f926(f926(f925(x103501,x103502),a913),a913),x103502),f336(f925(x103501,x103502)))),f266(x103501,x103502)))),x103503)),x103504))
% 164.74/165.08 [10363]P107(f334(f334(f336(x103631),x103632),f334(f292(x103633,x103631),x103634)))+~P107(f334(f263(x103633,x103631,f334(f334(f7(x103633,f926(f925(x103633,x103631),a913),f926(x103631,a913)),f334(f334(f8(f926(x103631,f926(f926(f925(x103633,x103631),a913),a913)),f926(f926(f925(x103633,x103631),a913),f926(x103631,a913)),x103633),f7(x103631,f926(f925(x103633,x103631),a913),a913)),f334(f334(f8(f926(x103631,f925(x103633,x103631)),f926(x103631,f926(f926(f925(x103633,x103631),a913),a913)),x103633),f334(f8(f925(x103633,x103631),f926(f926(f925(x103633,x103631),a913),a913),x103631),f336(f925(x103633,x103631)))),f266(x103633,x103631)))),x103634)),x103632))
% 164.74/165.08 [10364]P107(f334(f334(f336(x103641),x103642),f334(f264(x103641,x103643),x103644)))+~P107(f334(f262(x103641,x103643,f334(f334(f7(x103641,f926(f925(x103641,x103643),a913),f926(x103643,a913)),f334(f334(f8(f926(x103643,f926(f926(f925(x103641,x103643),a913),a913)),f926(f926(f925(x103641,x103643),a913),f926(x103643,a913)),x103641),f7(x103643,f926(f925(x103641,x103643),a913),a913)),f334(f334(f8(f926(x103643,f925(x103641,x103643)),f926(x103643,f926(f926(f925(x103641,x103643),a913),a913)),x103641),f334(f8(f925(x103641,x103643),f926(f926(f925(x103641,x103643),a913),a913),x103643),f336(f925(x103641,x103643)))),f266(x103641,x103643)))),x103644)),x103642))
% 164.74/165.08 [10031]P107(f334(f170(x100311,x100312),x100313))+~P107(f334(f170(x100311,f334(f334(f18(x100311,a913,a913),f334(f334(f8(a913,f926(a913,a913),x100311),a333),x100314)),x100312)),x100313))
% 164.74/165.08 [10032]P107(f334(f170(x100321,x100322),x100323))+~P107(f334(f170(x100321,f334(f334(f18(x100321,a913,a913),f334(f334(f8(a913,f926(a913,a913),x100321),a333),x100322)),x100324)),x100323))
% 164.74/165.08 [10118]~P119(x101181)+E(f334(f334(f90(x101181),f334(f334(f89(x101181),f87(x101181)),f87(x101181))),f334(f334(f6(a919,x101181),f334(f334(f8(x101181,x101181,a919),f334(f89(x101181),x101182)),f334(f334(f7(a919,x101181,x101181),f334(f334(f8(x101181,f926(x101181,x101181),a919),f90(x101181)),f113(x101181))),x101183))),f334(f290(a919),x101184))),f334(f334(f90(x101181),f334(f113(x101181),x101184)),f334(f334(f89(x101181),x101182),f334(f334(f89(x101181),x101182),f334(f334(f90(x101181),f334(f113(x101181),f334(f334(f23(a919),x101184),f87(a919)))),x101183)))))
% 164.74/165.08 [10257]P107(f334(x102571,f432(x102572,x102573,x102574,x102571)))+P38(x102572,f334(f254(f925(x102572,x102572)),f334(f270(x102572,x102572,a913),f334(f334(f8(f926(x102572,a913),f926(x102572,a913),x102572),f334(f18(x102572,a913,a913),f334(f334(f8(a913,f926(a913,a913),x102572),a333),x102571))),f334(f334(f7(x102572,f926(x102572,x102572),f926(x102572,a913)),f334(f334(f8(f926(x102572,a913),f926(f926(x102572,x102572),f926(x102572,a913)),x102572),f8(x102572,a913,x102572)),a331)),x102573)))))
% 164.74/165.08 [10271]~P107(f334(f334(f249(a919),f334(x102714,f334(x102713,f432(x102711,x102713,x102714,x102712)))),f334(x102714,f432(x102711,x102713,x102714,x102712))))+P38(x102711,f334(f254(f925(x102711,x102711)),f334(f270(x102711,x102711,a913),f334(f334(f8(f926(x102711,a913),f926(x102711,a913),x102711),f334(f18(x102711,a913,a913),f334(f334(f8(a913,f926(a913,a913),x102711),a333),x102712))),f334(f334(f7(x102711,f926(x102711,x102711),f926(x102711,a913)),f334(f334(f8(f926(x102711,a913),f926(f926(x102711,x102711),f926(x102711,a913)),x102711),f8(x102711,a913,x102711)),a331)),x102713)))))
% 164.74/165.08 [10334]~P3(x103341)+E(f47(x103341,f334(f254(x103341),f334(f334(f8(f926(f926(x103342,x103341),a913),a913,x103341),f96(f926(x103342,x103341))),f334(f334(f8(f926(f926(x103342,x103341),a913),f926(f926(x103342,x103341),a913),x103341),f334(f18(f926(x103342,x103341),a913,a913),f334(f334(f8(a913,f926(a913,a913),f926(x103342,x103341)),a333),f334(f334(f7(f926(x103342,x103341),f926(f926(x103342,x103341),a913),a913),f336(f926(x103342,x103341))),x103343)))),f334(f334(f7(x103341,f926(f926(x103342,x103341),x103341),f926(f926(x103342,x103341),a913)),f334(f334(f8(f926(x103341,a913),f926(f926(f926(x103342,x103341),x103341),f926(f926(x103342,x103341),a913)),x103341),f8(x103341,a913,f926(x103342,x103341))),a331)),f334(f334(f7(f926(x103342,x103341),x103342,x103341),f5(f926(x103342,x103341))),x103344)))))),f334(f47(f926(x103342,x103341),x103343),x103344))
% 164.74/165.08 [10335]~P3(x103351)+E(f47(x103351,f334(f254(x103351),f334(f334(f8(f926(f926(x103352,x103351),a913),a913,x103351),f96(f926(x103352,x103351))),f334(f334(f8(f926(f926(x103352,x103351),a913),f926(f926(x103352,x103351),a913),x103351),f334(f18(f926(x103352,x103351),a913,a913),f334(f334(f8(a913,f926(a913,a913),f926(x103352,x103351)),a333),f334(f334(f7(f926(x103352,x103351),f926(f926(x103352,x103351),a913),a913),f336(f926(x103352,x103351))),x103353)))),f334(f334(f7(x103351,f926(f926(x103352,x103351),x103351),f926(f926(x103352,x103351),a913)),f334(f334(f8(f926(x103351,a913),f926(f926(f926(x103352,x103351),x103351),f926(f926(x103352,x103351),a913)),x103351),f8(x103351,a913,f926(x103352,x103351))),a331)),f334(f334(f7(f926(x103352,x103351),x103352,x103351),f5(f926(x103352,x103351))),x103354)))))),f334(f47(f926(x103352,x103351),x103353),x103354))
% 164.74/165.08 [10336]~P3(x103361)+E(f46(x103361,f334(f254(x103361),f334(f334(f8(f926(f926(x103362,x103361),a913),a913,x103361),f96(f926(x103362,x103361))),f334(f334(f8(f926(f926(x103362,x103361),a913),f926(f926(x103362,x103361),a913),x103361),f334(f18(f926(x103362,x103361),a913,a913),f334(f334(f8(a913,f926(a913,a913),f926(x103362,x103361)),a333),f334(f334(f7(f926(x103362,x103361),f926(f926(x103362,x103361),a913),a913),f336(f926(x103362,x103361))),x103363)))),f334(f334(f7(x103361,f926(f926(x103362,x103361),x103361),f926(f926(x103362,x103361),a913)),f334(f334(f8(f926(x103361,a913),f926(f926(f926(x103362,x103361),x103361),f926(f926(x103362,x103361),a913)),x103361),f8(x103361,a913,f926(x103362,x103361))),a331)),f334(f334(f7(f926(x103362,x103361),x103362,x103361),f5(f926(x103362,x103361))),x103364)))))),f334(f46(f926(x103362,x103361),x103363),x103364))
% 164.74/165.08 [10337]~P3(x103371)+E(f46(x103371,f334(f254(x103371),f334(f334(f8(f926(f926(x103372,x103371),a913),a913,x103371),f96(f926(x103372,x103371))),f334(f334(f8(f926(f926(x103372,x103371),a913),f926(f926(x103372,x103371),a913),x103371),f334(f18(f926(x103372,x103371),a913,a913),f334(f334(f8(a913,f926(a913,a913),f926(x103372,x103371)),a333),f334(f334(f7(f926(x103372,x103371),f926(f926(x103372,x103371),a913),a913),f336(f926(x103372,x103371))),x103373)))),f334(f334(f7(x103371,f926(f926(x103372,x103371),x103371),f926(f926(x103372,x103371),a913)),f334(f334(f8(f926(x103371,a913),f926(f926(f926(x103372,x103371),x103371),f926(f926(x103372,x103371),a913)),x103371),f8(x103371,a913,f926(x103372,x103371))),a331)),f334(f334(f7(f926(x103372,x103371),x103372,x103371),f5(f926(x103372,x103371))),x103374)))))),f334(f46(f926(x103372,x103371),x103373),x103374))
% 164.74/165.08 [10392]~P107(f334(f334(f336(f925(x103921,x103921)),f334(f334(f266(x103921,x103921),x103923),x103924)),f334(f334(f123(f926(f925(x103921,x103921),a913)),x103922),f314(x103921,f198(f926(f925(x103921,x103921),a913))))))+P107(f334(f334(f334(f334(f123(f926(x103921,f926(x103921,a913))),f334(f334(f7(x103921,f926(f925(x103921,x103921),a913),f926(x103921,a913)),f334(f334(f8(f926(x103921,f926(f926(f925(x103921,x103921),a913),a913)),f926(f926(f925(x103921,x103921),a913),f926(x103921,a913)),x103921),f7(x103921,f926(f925(x103921,x103921),a913),a913)),f334(f334(f8(f926(x103921,f925(x103921,x103921)),f926(x103921,f926(f926(f925(x103921,x103921),a913),a913)),x103921),f334(f8(f925(x103921,x103921),f926(f926(f925(x103921,x103921),a913),a913),x103921),f336(f925(x103921,x103921)))),f266(x103921,x103921)))),x103922)),a331),x103923),x103924))
% 164.74/165.08 [10400]P107(f334(f334(f336(f925(x104001,x104001)),f334(f334(f266(x104001,x104001),x104002),x104003)),f334(f334(f123(f926(f925(x104001,x104001),a913)),x104004),f314(x104001,f198(f926(f925(x104001,x104001),a913))))))+~P107(f334(f334(f334(f334(f123(f926(x104001,f926(x104001,a913))),f334(f334(f7(x104001,f926(f925(x104001,x104001),a913),f926(x104001,a913)),f334(f334(f8(f926(x104001,f926(f926(f925(x104001,x104001),a913),a913)),f926(f926(f925(x104001,x104001),a913),f926(x104001,a913)),x104001),f7(x104001,f926(f925(x104001,x104001),a913),a913)),f334(f334(f8(f926(x104001,f925(x104001,x104001)),f926(x104001,f926(f926(f925(x104001,x104001),a913),a913)),x104001),f334(f8(f925(x104001,x104001),f926(f926(f925(x104001,x104001),a913),a913),x104001),f336(f925(x104001,x104001)))),f266(x104001,x104001)))),x104004)),a331),x104002),x104003))
% 164.74/165.08 [10243]~P109(x102433)+E(f99(x102431,f334(f334(f18(x102431,a913,a913),f334(f334(f8(a913,f926(a913,a913),x102431),a333),x102432)),f334(f334(f8(f926(x102431,a913),a913,x102431),f97(x102431)),f334(f334(f8(f926(x102431,a913),f926(x102431,a913),x102431),f334(f18(x102431,a913,a913),f334(f334(f8(a913,f926(a913,a913),x102431),a337),x102432))),f334(f334(f8(x102433,f926(x102431,a913),x102431),f334(f7(x102431,x102433,a913),f334(f334(f8(x102433,f926(x102433,a913),x102431),f248(x102433)),x102434))),x102434))))),f334(f102(x102431,x102433,x102434),x102432))
% 164.74/165.08 [10288]~P109(x102883)+E(f99(x102881,f334(f334(f18(x102881,a913,a913),f334(f334(f8(a913,f926(a913,a913),x102881),a333),x102882)),f334(f334(f8(f926(x102881,a913),a913,x102881),f97(x102881)),f334(f334(f8(f926(x102881,a913),f926(x102881,a913),x102881),f334(f18(x102881,a913,a913),f334(f334(f8(a913,f926(a913,a913),x102881),a337),x102882))),f334(f334(f7(x102881,f926(x102881,x102883),f926(x102881,a913)),f334(f334(f8(f926(x102883,a913),f926(f926(x102881,x102883),f926(x102881,a913)),x102881),f8(x102883,a913,x102881)),f334(f334(f8(x102883,f926(x102883,a913),x102881),f248(x102883)),x102884))),x102884))))),f104(x102881,x102883,x102884,x102882))
% 164.74/165.08 [10345]E(f334(f334(f161(f920(x103451)),f334(f334(f161(x103451),x103452),f334(f152(f920(x103451),f920(x103451),f144(x103451),f126(x103451)),f334(f334(f164(f920(x103451),f920(x103451)),f166(f920(x103451),x103451,f126(x103451),f334(f334(f8(f920(x103451),f926(f920(x103451),f920(x103451)),x103451),f16(f920(x103451),f920(x103451))),f334(f334(f7(x103451,f920(x103451),f920(x103451)),f161(x103451)),f126(x103451))))),x103453)))),f189(x103451,f334(f334(f161(f920(x103451)),x103454),f334(f152(f920(f920(x103451)),f920(f920(x103451)),f144(f920(x103451)),f126(f920(x103451))),f334(f334(f164(f920(x103451),f920(f920(x103451))),f166(f920(f920(x103451)),x103451,f126(f920(x103451)),f334(f16(f926(f920(x103451),f920(f920(x103451))),x103451),f334(f334(f7(f920(x103451),f920(f920(x103451)),f920(f920(x103451))),f161(f920(x103451))),f126(f920(x103451)))))),x103453))))),f189(x103451,f334(f334(f161(f920(x103451)),f334(f334(f161(x103451),x103452),x103454)),x103453)))+~P107(f334(f322(f920(f920(x103451)),f190(x103451)),f334(f334(f161(f920(x103451)),f334(f334(f161(x103451),x103452),x103454)),x103453)))
% 164.74/165.08 [10391]~P107(f334(f70(x103912),f334(f254(x103912),x103914)))+P107(f334(f70(x103911),f334(f254(x103911),f334(f334(f8(f926(x103912,a913),a913,x103911),f96(x103912)),f334(f334(f7(x103911,f926(x103912,a913),f926(x103912,a913)),f334(f334(f8(f926(x103912,f926(a913,a913)),f926(f926(x103912,a913),f926(x103912,a913)),x103911),f18(x103912,a913,a913)),f334(f334(f8(f926(x103912,a913),f926(x103912,f926(a913,a913)),x103911),f334(f8(a913,f926(a913,a913),x103912),a333)),f334(f334(f7(x103911,f926(x103912,x103911),f926(x103912,a913)),f334(f334(f8(f926(x103911,a913),f926(f926(x103912,x103911),f926(x103912,a913)),x103911),f8(x103911,a913,x103912)),a331)),x103913)))),x103914)))))
% 164.74/165.08 [8895]P23(x88951,x88952,x88953,x88954)+~P24(x88951,x88952,x88953,x88954,x88955)
% 164.74/165.08 [5425]E(x54251,x54252)+~E(f179(x54253,x54251,x54254),f179(x54253,x54252,x54255))
% 164.74/165.08 [5426]E(x54261,x54262)+~E(f138(x54263,x54264,x54261),f138(x54263,x54265,x54262))
% 164.74/165.08 [5427]E(x54271,x54272)+~E(f138(x54273,x54271,x54274),f138(x54273,x54272,x54275))
% 164.74/165.08 [8214]~E(f334(x82143,x82144),x82145)+E(f83(x82141,x82142,x82143,x82144,x82145),x82143)
% 164.74/165.08 [8753]~E(f83(x87534,x87535,x87531,x87532,x87533),x87531)+E(f334(x87531,x87532),x87533)
% 164.74/165.08 [9380]~P24(x93802,x93801,x93804,x93803,x93805)+P24(x93801,x93802,f86(x93802,x93801,x93803,x93804),x93805,x93803)
% 164.74/165.08 [9381]~P24(x93812,x93811,x93814,x93813,x93815)+P24(x93811,x93812,f101(x93812,x93811,x93813,x93814),x93815,x93813)
% 164.74/165.08 [6207]P107(f334(f263(x62071,x62072,x62073),x62074))+~P107(f334(f334(x62073,x62075),x62074))
% 164.74/165.08 [6209]P107(f334(f262(x62091,x62092,x62093),x62094))+~P107(f334(f334(x62093,x62094),x62095))
% 164.74/165.08 [6679]~E(x66795,f2(a112))+E(f334(f210(x66791,x66792,x66793,x66794),x66795),f136(x66792))
% 164.74/165.08 [6680]~E(x66805,f2(a112))+E(f334(f212(x66801,x66802,x66803,x66804),x66805),f128(x66802))
% 164.74/165.08 [6817]~E(x68173,f2(a112))+E(f334(f281(x68171,x68172,x68173,x68174),x68175),f334(f266(x68171,x68172),x68175))
% 164.74/165.08 [7858]~P18(x78584,x78581,x78582,x78585)+E(f334(f81(x78581,x78581,x78581,f334(x78582,x78583)),f334(x78582,x78583)),f334(x78582,x78583))
% 164.74/165.08 [8254]~P14(x82545,x82541,x82542)+E(f334(f81(x82541,x82541,x82541,f334(x82542,x82543)),f334(x82542,x82544)),f334(f81(x82541,x82541,x82541,f334(x82542,x82544)),f334(x82542,x82543)))
% 164.74/165.08 [8581]P107(f334(f334(f336(f925(x85811,x85811)),f334(f334(f266(x85811,x85811),x85812),x85813)),f328(x85811,x85814,x85815)))+~P107(f334(f334(f249(a919),f334(x85814,x85812)),f334(x85814,x85813)))
% 164.74/165.08 [8680]~P107(f334(f334(f336(x86804),x86803),f306(x86804,x86801,x86802,x86805)))+P107(f334(f334(x86801,x86802),x86803))
% 164.74/165.08 [8681]~P107(f334(f334(f336(x86814),x86813),f303(x86814,x86811,x86812,x86815)))+P107(f334(f334(x86811,x86812),x86813))
% 164.74/165.08 [8682]~P107(f334(f334(f336(x86824),x86822),f306(x86824,x86821,x86825,x86823)))+P107(f334(f334(x86821,x86822),x86823))
% 164.74/165.08 [8683]~P107(f334(f334(f336(x86834),x86832),f303(x86834,x86831,x86835,x86833)))+P107(f334(f334(x86831,x86832),x86833))
% 164.74/165.08 [8765]~P24(x87651,x87653,x87655,x87652,x87654)+E(f334(f44(x87651),x87652),f334(f44(x87653),x87654))
% 164.74/165.08 [8814]~P24(x88141,x88142,x88143,x88144,x88145)+E(f334(f317(x88141,x88142,x88143),x88144),x88145)
% 164.74/165.08 [8834]~P56(x88342,x88341,x88345,x88343,x88344)+E(f334(f317(x88341,x88342,x88343),x88344),f256(f926(x88342,a913)))
% 164.74/165.08 [9294]~P35(x92941,x92942,x92943,x92944,x92945)+P35(x92941,x92942,x92943,f334(f178(x92941),x92944),f334(f178(x92942),x92945))
% 164.74/165.08 [9296]~P35(x92961,x92962,x92963,f334(f178(x92961),x92964),x92965)+P35(x92961,x92962,x92963,x92964,f334(f178(x92962),x92965))
% 164.74/165.08 [9297]~P35(x92971,x92972,x92973,x92974,f334(f178(x92972),x92975))+P35(x92971,x92972,x92973,f334(f178(x92971),x92974),x92975)
% 164.74/165.08 [9303]P35(x93031,x93032,x93033,x93034,x93035)+~P35(x93031,x93032,x93033,f334(f178(x93031),x93034),f334(f178(x93032),x93035))
% 164.74/165.08 [9716]P107(f334(f334(f336(f925(f920(x97161),f920(x97161))),f334(f334(f266(f920(x97161),f920(x97161)),f334(f334(f161(x97161),x97162),x97163)),f334(f334(f161(x97161),x97162),x97164))),f167(x97161,x97165)))+~P107(f334(f334(f336(f925(f920(x97161),f920(x97161))),f334(f334(f266(f920(x97161),f920(x97161)),x97163),x97164)),f167(x97161,x97165)))
% 164.74/165.08 [9717]P107(f334(f334(f336(f925(f920(x97171),f920(x97171))),f334(f334(f266(f920(x97171),f920(x97171)),f334(f334(f144(x97171),x97172),x97173)),f334(f334(f144(x97171),x97172),x97174))),f157(x97171,x97175)))+~P107(f334(f334(f336(f925(f920(x97171),f920(x97171))),f334(f334(f266(f920(x97171),f920(x97171)),x97173),x97174)),f157(x97171,x97175)))
% 164.74/165.08 [9912]E(f334(f334(f161(x99121),f710(x99122,x99123,x99124,x99125,x99121)),f712(x99122,x99123,x99124,x99125,x99121)),x99125)+~P107(f334(f334(f336(f925(f920(x99121),f920(x99121))),f334(f334(f266(f920(x99121),f920(x99121)),x99125),f334(f334(f161(x99121),x99124),x99123))),f168(x99121,x99122)))
% 164.74/165.08 [9935]E(f334(f334(f161(x99351),f713(x99352,x99353,x99354,x99355,x99351)),f714(x99352,x99353,x99354,x99355,x99351)),x99353)+~P107(f334(f334(f336(f925(f920(x99351),f920(x99351))),f334(f334(f266(f920(x99351),f920(x99351)),f334(f334(f161(x99351),x99355),x99354)),x99353)),f168(x99351,x99352)))
% 164.74/165.08 [10089]~P107(f334(f334(f336(f925(f920(x100891),f920(x100891))),f334(f334(f266(f920(x100891),f920(x100891)),f334(f334(f161(x100891),x100895),x100892)),x100894)),f168(x100891,x100893)))+P107(f334(f334(f336(f925(f920(x100891),f920(x100891))),f334(f334(f266(f920(x100891),f920(x100891)),x100892),f714(x100893,x100894,x100892,x100895,x100891))),f168(x100891,x100893)))
% 164.74/165.08 [10161]~P107(f334(f334(f336(f925(f920(x101611),f920(x101611))),f334(f334(f266(f920(x101611),f920(x101611)),x101615),f334(f334(f161(x101611),x101614),x101613))),f168(x101611,x101612)))+P107(f334(f334(f336(f925(f920(x101611),f920(x101611))),f334(f334(f266(f920(x101611),f920(x101611)),f712(x101612,x101613,x101614,x101615,x101611)),x101613)),f168(x101611,x101612)))
% 164.74/165.08 [10339]P107(f334(f334(f336(f925(x103391,x103391)),f334(f334(f266(x103391,x103391),f334(x103392,f334(f334(f89(a919),x103393),x103394))),f334(x103392,x103393))),f314(x103391,x103395)))+~P107(f334(f334(f336(f925(x103391,x103391)),f334(f334(f266(x103391,x103391),f334(x103392,f334(a125,f655(x103394,x103393,x103395,x103392,x103391)))),f334(x103392,f655(x103394,x103393,x103395,x103392,x103391)))),f314(x103391,x103395)))
% 164.74/165.08 [5393]E(x53931,x53932)+~E(f334(f334(f161(x53933),x53934),x53931),f334(f334(f161(x53933),x53935),x53932))
% 164.74/165.08 [5394]E(x53941,x53942)+~E(f334(f334(f161(x53943),x53941),x53944),f334(f334(f161(x53943),x53942),x53945))
% 164.74/165.08 [5442]P107(f334(x54421,x54422))+~E(f334(f146(x54423,x54421),x54424),f334(f334(f161(x54423),x54422),x54425))
% 164.74/165.08 [5443]P107(f334(x54431,x54432))+~E(f334(f334(f161(x54433),x54432),x54434),f334(f146(x54433,x54431),x54435))
% 164.74/165.08 [5593]~E(f334(f334(f148(x55931),x55933),x55932),f334(f334(f161(x55931),x55934),x55935))+E(f334(f334(f174(x55931),x55932),x55933),x55934)
% 164.74/165.08 [5726]~P13(x57264,x57265,x57261)+E(f334(f334(x57261,x57262),f334(f334(x57261,x57262),x57263)),f334(f334(x57261,x57262),x57263))
% 164.74/165.08 [6264]~E(x62644,f2(a112))+E(f334(f334(f130(x62641,x62642,x62643),x62644),x62645),f334(f334(f266(f920(x62642),x62641),f126(x62642)),x62645))
% 164.74/165.08 [6338]~P110(x63382)+~E(f334(f334(f158(x63381,x63382,x63383),x63384),x63385),f126(x63381))
% 164.74/165.08 [6718]E(x67181,x67182)+~E(f334(f334(f144(x67183),x67184),f334(f334(f161(x67183),x67181),f126(x67183))),f334(f334(f144(x67183),x67185),f334(f334(f161(x67183),x67182),f126(x67183))))
% 164.74/165.08 [6719]E(x67191,x67192)+~E(f334(f334(f144(x67193),x67191),f334(f334(f161(x67193),x67194),f126(x67193))),f334(f334(f144(x67193),x67192),f334(f334(f161(x67193),x67195),f126(x67193))))
% 164.74/165.08 [7029]E(f334(f334(f316(x70291),f334(x70292,x70293)),f334(f317(x70294,x70291,x70292),x70295)),f334(f317(x70294,x70291,x70292),x70295))+~P107(f334(f334(f336(x70294),x70293),x70295))
% 164.74/165.08 [7036]~P107(f334(x70364,f334(x70363,x70365)))+P107(f334(f334(f318(x70361,x70362,x70363),x70364),x70365))
% 164.74/165.08 [7039]~P107(f334(f334(x70393,x70395),x70394))+P107(f334(f334(f257(x70391,x70392,x70393),x70394),x70395))
% 164.74/165.08 [7132]~E(f334(f317(x71321,x71322,x71323),x71324),x71325)+E(f334(f317(f926(x71321,a913),f926(x71322,a913),f317(x71321,x71322,x71323)),f334(f315(x71321),x71324)),f334(f315(x71322),x71325))
% 164.74/165.08 [7469]P23(x74691,x74692,x74693,x74694)+~P23(x74691,x74692,x74693,f334(f334(f316(x74691),x74695),x74694))
% 164.74/165.08 [7535]P107(f334(x75351,x75352))+~P107(f334(f334(f105(x75353,x75354,x75351),x75355),x75352))
% 164.74/165.08 [7576]~P107(f334(f334(f336(x75764),x75763),x75765))+P107(f334(f334(f336(x75761),f334(x75762,x75763)),f334(f317(x75764,x75761,x75762),x75765)))
% 164.74/165.08 [7598]~P110(x75982)+E(f160(x75981,x75982,x75983,f334(f146(x75981,x75984),x75985)),f334(f146(x75981,x75984),f160(x75981,x75982,x75983,x75985)))
% 164.74/165.08 [7629]P107(f334(x76291,f334(x76292,x76293)))+~P107(f334(f334(f318(x76294,x76295,x76292),x76291),x76293))
% 164.74/165.08 [7632]P107(f334(f334(x76321,x76322),x76323))+~P107(f334(f334(f257(x76324,x76325,x76321),x76323),x76322))
% 164.74/165.08 [7633]P107(f334(f334(x76331,x76332),x76333))+~P107(f334(f334(f105(x76334,x76331,x76335),x76332),x76333))
% 164.74/165.08 [7694]~P107(f334(f334(f336(x76943),f334(x76944,x76942)),x76945))+P107(f334(f334(f336(x76941),x76942),f334(f318(x76941,x76943,x76944),x76945)))
% 164.74/165.08 [8091]~P107(f334(f334(f336(x80915),x80913),f334(f318(x80915,x80911,x80912),x80914)))+P107(f334(f334(f336(x80911),f334(x80912,x80913)),x80914))
% 164.74/165.08 [8393]~P14(x83932,x83931,x83933)+E(f334(f152(x83931,x83932,f334(f7(x83932,x83931,x83931),x83933),x83934),f162(x83932,x83935)),f334(f334(f73(x83932,x83931,x83933),x83934),f334(f182(x83932),x83935)))
% 164.74/165.08 [8414]E(f334(x84141,f679(x84142,x84141,x84143,x84144)),x84144)+~P107(f334(f334(f336(x84145),x84144),f334(f317(x84143,x84145,x84141),x84142)))
% 164.74/165.08 [8415]E(f334(x84151,f735(x84152,x84151,x84153,x84154)),x84154)+~P107(f334(f334(f336(x84155),x84154),f334(f317(x84153,x84155,x84151),x84152)))
% 164.74/165.08 [8728]~E(x87282,f334(f334(f161(x87281),x87284),x87285))+P107(f334(f334(f336(f925(f920(x87281),f920(x87281))),f334(f334(f266(f920(x87281),f920(x87281)),f126(x87281)),x87282)),f157(x87281,x87283)))
% 164.74/165.09 [8776]E(f334(x87761,f334(f101(x87762,x87763,x87764,x87761),x87765)),x87765)+~P107(f334(f334(f336(x87763),x87765),f334(f317(x87762,x87763,x87761),x87764)))
% 164.74/165.09 [8779]P23(x87791,x87792,f101(x87792,x87791,x87793,x87794),x87795)+~P107(f334(f334(f248(f926(x87791,a913)),x87795),f334(f317(x87792,x87791,x87794),x87793)))
% 164.74/165.09 [8786]~P35(x87861,x87863,x87865,x87862,x87864)+E(f334(f199(f920(x87861)),x87862),f334(f199(f920(x87863)),x87864))
% 164.74/165.09 [8797]P107(f334(f334(f248(f926(x87971,a913)),f334(f334(f49(x87972,f926(x87971,a913)),x87973),x87974)),f334(x87974,x87975)))+~P107(f334(f334(f336(x87972),x87975),x87973))
% 164.74/165.09 [8850]~P56(x88501,x88502,x88503,x88505,x88504)+E(f334(f317(x88501,x88502,x88503),f256(f926(x88501,a913))),x88504)
% 164.74/165.09 [9077]E(f334(f146(x90771,x90772),f802(x90773,x90774,x90775,x90772,x90771)),x90773)+~E(f334(f146(x90771,x90772),x90775),f334(f334(f161(x90771),x90774),x90773))
% 164.74/165.09 [9078]E(f334(f146(x90781,x90782),f805(x90783,x90782,x90784,x90785,x90781)),x90784)+~E(f334(f334(f161(x90781),x90785),x90784),f334(f146(x90781,x90782),x90783))
% 164.74/165.09 [9180]E(f334(f199(f920(x91801)),x91802),x91803)+~P107(f334(f334(f336(f925(f920(x91801),f920(x91801))),f334(f334(f266(f920(x91801),f920(x91801)),x91804),x91802)),f334(f153(x91801,x91805),x91803)))
% 164.74/165.09 [9181]E(f334(f199(f920(x91811)),x91812),x91813)+~P107(f334(f334(f336(f925(f920(x91811),f920(x91811))),f334(f334(f266(f920(x91811),f920(x91811)),x91812),x91814)),f334(f153(x91811,x91815),x91813)))
% 164.74/165.09 [9250]P107(f334(f334(f336(x92501),f679(x92502,x92503,x92501,x92504)),x92502))+~P107(f334(f334(f336(x92505),x92504),f334(f317(x92501,x92505,x92503),x92502)))
% 164.74/165.09 [9251]P107(f334(f334(f336(x92511),f735(x92512,x92513,x92511,x92514)),x92512))+~P107(f334(f334(f336(x92515),x92514),f334(f317(x92511,x92515,x92513),x92512)))
% 164.74/165.09 [9411]E(f334(f317(x94111,x94112,x94113),f667(x94114,x94113,x94111,x94115,x94112)),x94115)+~P107(f334(f334(f248(f926(x94112,a913)),x94115),f334(f317(x94111,x94112,x94113),x94114)))
% 164.74/165.09 [9734]P107(f334(f334(f336(f925(f920(x97341),f920(x97341))),f334(f334(f266(f920(x97341),f920(x97341)),f334(f334(f161(x97341),x97342),x97343)),f334(f334(f161(x97341),x97342),x97344))),f314(f920(x97341),f167(x97341,x97345))))+~P107(f334(f334(f336(f925(f920(x97341),f920(x97341))),f334(f334(f266(f920(x97341),f920(x97341)),x97343),x97344)),f314(f920(x97341),f167(x97341,x97345))))
% 164.74/165.09 [9766]~E(f334(x97663,f755(x97665,x97664,x97663,x97662,x97661)),f334(x97665,f755(x97665,x97664,x97663,x97662,x97661)))+E(f334(f334(f164(x97661,x97662),x97663),x97664),f334(f334(f164(x97661,x97662),x97665),x97664))
% 164.74/165.09 [9782]P107(f334(f334(f204(x97821),f334(f334(f334(a207,x97822),f36(x97823)),f334(x97824,x97822))),f364(x97825,x97822,x97821,x97824,x97823)))+~P107(f334(f334(f204(f30(x97823,x97824,x97821)),x97822),f334(f334(f334(a207,x97825),f36(x97823)),f208(x97822,x97823))))
% 164.74/165.09 [9842]~E(f334(f146(x98421,x98425),x98424),f334(f334(f161(x98421),x98423),x98422))+E(f334(f334(f144(x98421),f803(x98422,x98423,x98424,x98425,x98421)),f334(f334(f161(x98421),x98423),f802(x98422,x98423,x98424,x98425,x98421))),x98424)
% 164.74/165.09 [9843]~E(f334(f334(f161(x98431),x98435),x98434),f334(f146(x98431,x98433),x98432))+E(f334(f334(f144(x98431),f807(x98432,x98433,x98434,x98435,x98431)),f334(f334(f161(x98431),x98435),f805(x98432,x98433,x98434,x98435,x98431))),x98432)
% 164.74/165.09 [9847]E(f334(f334(f164(x98471,x98472),x98473),x98474),f334(f334(f164(x98471,x98472),x98475),x98474))+P107(f334(f334(f336(x98471),f755(x98473,x98474,x98475,x98472,x98471)),f334(f182(x98471),x98474)))
% 164.74/165.09 [9876]~P107(f334(f334(f336(x98765),x98764),f334(f293(x98761,x98765,x98763),x98762)))+P107(f334(f334(f336(x98761),f903(x98762,x98763,x98761,x98764,x98765)),x98762))
% 164.74/165.09 [9877]~P107(f334(f334(f336(x98775),x98774),f334(f293(x98771,x98775,x98773),x98772)))+P107(f334(f334(f336(x98771),f344(x98772,x98773,x98771,x98774,x98775)),x98772))
% 164.74/165.09 [9906]~P107(f334(f334(f248(f926(x99065,a913)),x99064),f334(f317(x99061,x99065,x99063),x99062)))+P107(f334(f334(f248(f926(x99061,a913)),f667(x99062,x99063,x99061,x99064,x99065)),x99062))
% 164.74/165.09 [9926]E(f334(f334(f334(a207,f364(x99261,x99262,x99263,x99264,x99265)),f36(x99265)),f208(x99262,x99265)),f334(f334(f334(a207,x99261),f36(x99265)),f208(x99262,x99265)))+~P107(f334(f334(f204(f30(x99265,x99264,x99263)),x99262),f334(f334(f334(a207,x99261),f36(x99265)),f208(x99262,x99265))))
% 164.74/165.09 [10340]E(x103401,f2(a112))+E(f237(f925(f920(x103402),x103403),f925(x103402,x103403),f334(f334(f266(f920(x103402),x103403),f126(x103402)),x103404),f334(f270(x103402,x103403,f925(f920(x103402),x103403)),f334(f334(f7(x103402,f926(x103403,f925(f920(x103402),x103403)),f926(x103403,f925(f920(x103402),x103403))),f334(f334(f8(f926(f925(f920(x103402),x103403),f925(f920(x103402),x103403)),f926(f926(x103403,f925(f920(x103402),x103403)),f926(x103403,f925(f920(x103402),x103403))),x103402),f8(f925(f920(x103402),x103403),f925(f920(x103402),x103403),x103403)),f334(f334(f8(f926(f920(x103402),f926(x103403,f925(f920(x103402),x103403))),f926(f925(f920(x103402),x103403),f925(f920(x103402),x103403)),x103402),f270(f920(x103402),x103403,f925(f920(x103402),x103403))),f334(f334(f8(f926(f920(x103402),f920(x103402)),f926(f920(x103402),f926(x103403,f925(f920(x103402),x103403))),x103402),f334(f8(f920(x103402),f926(x103403,f925(f920(x103402),x103403)),f920(x103402)),f266(f920(x103402),x103403))),f161(x103402))))),f334(f130(x103403,x103402,x103405),f334(f334(f23(a112),x103401),f87(a112))))),f334(x103405,x103404)),f334(f334(f130(x103403,x103402,x103405),x103401),x103404))
% 164.74/165.09 [6146]E(x61461,x61462)+~E(f334(f269(x61463,x61464),f334(f334(f266(x61463,x61464),x61465),x61461)),x61462)
% 164.74/165.09 [6147]E(x61471,x61472)+~E(f334(f265(x61473,x61474),f334(f334(f266(x61473,x61474),x61471),x61475)),x61472)
% 164.74/165.09 [6411]~E(x64113,f334(f334(f144(x64111),x64114),f334(f334(f161(x64111),x64112),x64115)))+P107(f334(f334(f336(x64111),x64112),f334(f182(x64111),x64113)))
% 164.74/165.09 [6804]E(f334(f317(x68041,x68042,f334(f16(x68042,x68041),x68043)),x68044),f334(f334(f316(x68042),x68043),f198(f926(x68042,a913))))+~P107(f334(f334(f336(x68041),x68045),x68044))
% 164.74/165.09 [6873]E(f334(f334(f123(f926(x68731,a913)),f334(f182(x68731),x68732)),f334(f182(x68731),x68733)),f334(f182(x68731),x68734))+~E(f176(x68731,x68735,x68734),f334(f334(f266(f920(x68731),f920(x68731)),x68732),x68733))
% 164.74/165.09 [6972]~P110(x69722)+E(f334(f199(f920(x69721)),f334(f334(f158(x69721,x69722,x69723),x69724),x69725)),f334(a125,f334(f199(f920(x69721)),x69725)))
% 164.74/165.09 [6984]~P110(x69842)+E(f334(f182(x69841),f334(f334(f158(x69841,x69842,x69843),x69844),x69845)),f334(f334(f316(x69841),x69844),f334(f182(x69841),x69845)))
% 164.74/165.09 [7254]~P119(x72541)+E(f334(f334(f90(x72541),f334(f334(f90(x72541),x72542),x72543)),f334(f334(f90(x72541),x72544),x72545)),f334(f334(f90(x72541),f334(f334(f90(x72541),x72542),x72544)),f334(f334(f90(x72541),x72543),x72545)))
% 164.74/165.09 [7255]~P119(x72551)+E(f334(f334(f89(x72551),f334(f334(f89(x72551),x72552),x72553)),f334(f334(f89(x72551),x72554),x72555)),f334(f334(f89(x72551),f334(f334(f89(x72551),x72552),x72554)),f334(f334(f89(x72551),x72553),x72555)))
% 164.74/165.09 [7256]~P65(x72561)+E(f334(f334(f297(x72561),f334(f334(f90(x72561),x72562),x72563)),f334(f334(f90(x72561),x72564),x72565)),f334(f334(f90(x72561),f334(f334(f297(x72561),x72562),x72564)),f334(f334(f297(x72561),x72563),x72565)))
% 164.74/165.09 [7270]~P110(x72701)+E(f313(x72701,f334(f334(f247(x72701),x72702),x72703),f334(f334(f246(x72701),x72704),x72705)),f334(f334(f114(f926(x72701,a913)),f313(x72701,x72702,x72704)),f313(x72701,x72703,x72705)))
% 164.74/165.09 [7271]~P110(x72711)+E(f312(x72711,f334(f334(f247(x72711),x72712),x72713),f334(f334(f246(x72711),x72714),x72715)),f334(f334(f114(f926(x72711,a913)),f312(x72711,x72712,x72714)),f312(x72711,x72713,x72715)))
% 164.74/165.09 [7272]~P110(x72721)+E(f310(x72721,f334(f334(f247(x72721),x72722),x72723),f334(f334(f246(x72721),x72724),x72725)),f334(f334(f114(f926(x72721,a913)),f310(x72721,x72722,x72724)),f310(x72721,x72723,x72725)))
% 164.74/165.09 [7274]~P110(x72741)+E(f334(f334(f114(f926(x72741,a913)),f334(f309(x72741,x72742),x72743)),f334(f309(x72741,x72744),x72745)),f334(f309(x72741,f334(f334(f247(x72741),x72742),x72744)),f334(f334(f246(x72741),x72743),x72745)))
% 164.74/165.09 [7392]~P107(f334(x73921,f400(x73923,x73922,x73921)))+P107(f334(x73921,f334(f334(f266(x73922,x73923),x73924),x73925)))
% 164.74/165.09 [7501]~E(x75012,f334(x75014,x75015))+P107(f334(f334(f336(x75011),x75012),f334(f317(x75013,x75011,x75014),f256(f926(x75013,a913)))))
% 164.74/165.09 [7573]~P13(x75733,x75732,x75734)+P13(x75731,x75732,f334(f334(f8(x75733,f926(x75732,x75732),x75731),x75734),x75735))
% 164.74/165.09 [7574]~P14(x75743,x75742,x75744)+P14(x75741,x75742,f334(f334(f8(x75743,f926(x75742,x75742),x75741),x75744),x75745))
% 164.74/165.09 [7711]~P23(x77111,x77112,x77113,x77114)+P23(x77111,x77112,x77113,f334(f334(f23(f926(x77111,a913)),x77114),x77115))
% 164.74/165.09 [7867]~P107(f334(f334(x78673,x78674),x78675))+P107(f334(f334(f270(x78671,x78672,a913),x78673),f334(f334(f266(x78671,x78672),x78674),x78675)))
% 164.74/165.09 [7981]~P107(f334(x79812,x79814))+~E(f334(f334(f148(x79811),f334(f199(f920(x79811)),f187(x79811,x79812,x79813))),x79813),f334(f334(f161(x79811),x79814),x79815))
% 164.74/165.09 [8001]P23(x80011,x80012,x80013,x80014)+~P23(x80011,x80012,x80013,f334(f334(f123(f926(x80011,a913)),x80015),x80014))
% 164.74/165.09 [8002]P23(x80021,x80022,x80023,x80024)+~P23(x80021,x80022,x80023,f334(f334(f123(f926(x80021,a913)),x80024),x80025))
% 164.74/165.09 [8049]~P110(x80492)+E(f334(f334(f158(x80491,x80492,x80493),x80494),f160(x80491,x80492,x80493,x80495)),f160(x80491,x80492,x80493,f334(f334(f161(x80491),x80494),x80495)))
% 164.74/165.09 [8370]~P13(x83702,x83701,x83703)+E(f334(f152(x83701,x83702,f334(f7(x83702,x83701,x83701),x83703),x83704),x83705),f334(f334(f73(x83702,x83701,x83703),x83704),f334(f182(x83702),x83705)))
% 164.74/165.09 [8398]~E(f334(f334(f148(x83981),f334(f199(f920(x83981)),f187(x83981,x83982,x83983))),x83983),f334(f334(f161(x83981),x83984),x83985))+E(f334(f334(f144(x83981),f187(x83981,x83982,x83983)),f334(f334(f161(x83981),x83984),x83985)),x83983)
% 164.74/165.09 [8425]P107(f334(f334(x84251,x84252),x84253))+~P107(f334(f334(f270(x84254,x84255,a913),x84251),f334(f334(f266(x84254,x84255),x84252),x84253)))
% 164.74/165.09 [8912]P107(f334(f334(f248(f926(x89121,a913)),f334(f317(x89122,x89121,x89123),x89124)),f334(f317(x89122,x89121,x89123),x89125)))+~P107(f334(f334(f248(f926(x89122,a913)),x89124),x89125))
% 164.74/165.09 [8913]P107(f334(f334(f248(f926(x89131,a913)),f334(f318(x89131,x89132,x89133),x89134)),f334(f318(x89131,x89132,x89133),x89135)))+~P107(f334(f334(f248(f926(x89132,a913)),x89134),x89135))
% 164.74/165.09 [8991]E(x89911,f2(a112))+E(f334(f334(f272(x89912,x89913,x89912,f925(x89913,x89912)),f334(x89914,x89915)),f281(x89913,x89912,f334(f334(f23(a112),x89911),f87(a112)),x89914)),f334(f281(x89913,x89912,x89911,x89914),x89915))
% 164.74/165.09 [9292]P107(f334(f334(f204(f30(x92921,x92922,x92923)),x92924),f334(f334(f334(a207,x92925),f36(x92921)),f208(x92924,x92921))))+~P107(f334(f334(f204(x92923),f334(f334(f334(a207,x92924),f36(x92921)),f334(x92922,x92924))),x92925))
% 164.74/165.09 [9323]P29(x93231,x93232,f334(f334(f334(f100(x93231),x93233),x93234),x93235))+P107(f334(f334(x93233,f516(x93235,x93234,x93233,x93232)),f531(x93235,x93234,x93233,x93232)))
% 164.74/165.09 [9572]P29(x95721,x95722,f334(f334(f334(f100(x95721),x95723),x95724),x95725))+~P107(f334(f334(x95725,f516(x95725,x95724,x95723,x95722)),f542(x95725,x95724,x95723,x95722)))
% 164.74/165.09 [9575]~P107(f334(f334(f336(x95752),x95755),f334(f317(x95751,x95752,x95754),x95753)))+P107(f334(f334(f336(x95751),f334(f101(x95751,x95752,x95753,x95754),x95755)),x95753))
% 164.74/165.09 [9638]P29(x96381,x96382,f334(f334(f334(f100(x96381),x96383),x96384),x96385))+P107(f334(f334(f334(f334(a206,x96384),f531(x96385,x96384,x96383,x96382)),x96382),f542(x96385,x96384,x96383,x96382)))
% 164.74/165.09 [9666]~P107(f334(f70(x96663),f334(f317(x96662,x96663,x96665),f256(f926(x96662,a913)))))+P107(f334(f70(x96661),f334(f317(x96662,x96661,f334(f334(f8(x96663,x96661,x96662),x96664),x96665)),f256(f926(x96662,a913)))))
% 164.74/165.09 [9694]P107(f334(f334(f248(f926(f926(x96941,a913),a913)),f334(f317(f926(x96942,a913),f926(x96941,a913),f317(x96942,x96941,x96943)),f334(f315(x96942),x96944))),f334(f315(x96941),x96945)))+~P107(f334(f334(f248(f926(x96941,a913)),f334(f317(x96942,x96941,x96943),x96944)),x96945))
% 164.74/165.09 [9748]P107(f334(f334(f204(x97481),f334(f334(f334(a207,x97482),f36(x97483)),f334(x97484,x97482))),f494(x97485,x97482,x97481,x97484,x97483)))+~P107(f334(f334(f204(f30(x97483,x97484,x97481)),x97482),x97485))
% 164.74/165.09 [9774]E(x97741,x97742)+~P107(f334(f75(x97743,x97744,x97745,x97741,f198(f926(x97743,a913))),x97742))
% 164.74/165.09 [9791]E(f334(f334(f266(x97911,x97912),f439(x97913,x97914,x97915,x97912,x97911)),f440(x97913,x97914,x97915,x97912,x97911)),x97915)+~P107(f334(f334(f336(f925(x97911,x97912)),x97915),f334(f334(f268(x97911,x97912),x97914),x97913)))
% 164.74/165.09 [9881]P107(f334(f334(f336(x98811),f439(x98812,x98813,x98814,x98815,x98811)),x98813))+~P107(f334(f334(f336(f925(x98811,x98815)),x98814),f334(f334(f268(x98811,x98815),x98813),x98812)))
% 164.74/165.09 [9890]P107(f334(f334(f336(x98901),f865(x98902,x98903,x98904,x98905,x98901)),x98905))+P107(f334(f334(f248(f926(x98904,a913)),f334(f317(x98901,x98904,x98903),x98905)),x98902))
% 164.74/165.09 [9913]E(f334(f334(f334(a207,f494(x99131,x99132,x99133,x99134,x99135)),f36(x99135)),f208(x99132,x99135)),x99131)+~P107(f334(f334(f204(f30(x99135,x99134,x99133)),x99132),x99131))
% 164.74/165.09 [9987]P22(x99875,x99874,f334(f334(f316(f918(x99875)),f334(f334(f334(f100(x99875),x99871),x99873),x99872)),f198(f926(f918(x99875),a913))))+P107(f334(f334(x99871,f675(x99872,x99873,x99874,x99875,x99871)),f782(x99872,x99873,x99874,x99875,x99871)))
% 164.74/165.09 [10040]P107(f334(f334(f336(x100401),f440(x100402,x100403,x100404,x100401,x100405)),f334(x100402,f439(x100402,x100403,x100404,x100401,x100405))))+~P107(f334(f334(f336(f925(x100405,x100401)),x100404),f334(f334(f268(x100405,x100401),x100403),x100402)))
% 164.74/165.09 [10066]P107(f334(f334(f336(f925(x100661,x100661)),f334(f334(f266(x100661,x100661),x100662),f670(x100663,x100664,x100665,x100662,x100661))),x100663))+~P107(f334(f334(f336(f925(x100661,x100661)),f334(f334(f266(x100661,x100661),x100662),x100665)),f334(f334(f193(f925(x100661,x100661),a913),f334(a125,x100664)),x100663)))
% 164.74/165.09 [10067]P107(f334(f334(f336(f925(x100671,x100671)),f334(f334(f266(x100671,x100671),x100672),f671(x100673,x100674,x100675,x100672,x100671))),x100673))+~P107(f334(f334(f336(f925(x100671,x100671)),f334(f334(f266(x100671,x100671),x100672),x100675)),f334(f334(f193(f925(x100671,x100671),a913),f334(a125,x100674)),x100673)))
% 164.74/165.09 [10084]~P107(f334(f334(f336(f925(f920(x100841),f920(x100841))),f334(f334(f266(f920(x100841),f920(x100841)),f334(f334(f161(x100841),x100842),x100845)),x100844)),f168(x100841,x100843)))+P107(f334(f334(f336(f925(x100841,x100841)),f334(f334(f266(x100841,x100841),x100842),f713(x100843,x100844,x100845,x100842,x100841))),x100843))
% 164.74/165.09 [10086]~P22(x100861,x100862,f334(f334(f316(f918(x100861)),f334(f334(f334(f100(x100861),f105(x100861,x100863,x100864)),x100865),x100863)),f198(f926(f918(x100861),a913))))+P22(x100861,x100862,f334(f334(f316(f918(x100861)),f334(f334(f334(f100(x100861),x100863),f33(x100864,x100865)),f105(x100861,x100863,f334(f81(a913,a913,a914,a329),x100864)))),f198(f926(f918(x100861),a913))))
% 164.74/165.09 [10087]~P28(x100871,x100872,f334(f334(f316(f918(x100871)),f334(f334(f334(f100(x100871),f105(x100871,x100873,x100874)),x100875),x100873)),f198(f926(f918(x100871),a913))))+P28(x100871,x100872,f334(f334(f316(f918(x100871)),f334(f334(f334(f100(x100871),x100873),f33(x100874,x100875)),f105(x100871,x100873,f334(f81(a913,a913,a914,a329),x100874)))),f198(f926(f918(x100871),a913))))
% 164.74/165.09 [10110]~P107(f334(f334(f336(x101101),f334(x101103,f865(x101105,x101103,x101101,x101104,x101102))),x101105))+P107(f334(f334(f248(f926(x101101,a913)),f334(f317(x101102,x101101,x101103),x101104)),x101105))
% 164.74/165.09 [10366]P22(x103661,x103662,f334(f334(f316(f918(x103661)),f334(f334(f334(f100(x103661),x103663),x103664),x103665)),f198(f926(f918(x103661),a913))))+~P22(x103661,x103662,f334(f334(f316(f918(x103661)),f334(f334(f334(f100(x103661),f334(f16(f926(a914,a913),x103661),f334(f334(f7(a914,a914,a913),a331),f782(x103665,x103664,x103662,x103661,x103663)))),x103664),f334(f16(f926(a914,a913),x103661),f334(x103665,f675(x103665,x103664,x103662,x103661,x103663))))),f198(f926(f918(x103661),a913))))
% 164.74/165.09 [10409]P22(x104091,x104092,f334(f334(f316(f918(x104091)),f334(f334(f334(f100(x104091),x104093),x104094),x104095)),f198(f926(f918(x104091),a913))))+~P22(x104091,x104092,f334(f334(f316(f918(x104091)),f334(f334(f334(f100(x104091),f334(f334(f8(f926(a914,a913),f926(a914,a913),x104091),f334(f18(a914,a913,a913),f334(f334(f8(a913,f926(a913,a913),a914),a333),f334(a331,f566(x104095,x104094,x104093,x104092,x104091))))),x104093)),x104094),x104095)),f198(f926(f918(x104091),a913))))
% 164.74/165.09 [6484]P107(f334(x64842,x64844))+E(f187(x64841,x64842,f334(f334(f144(x64841),x64843),f334(f334(f161(x64841),x64844),x64845))),f187(x64841,x64842,x64843))
% 164.74/165.09 [6533]~P62(x65332)+E(f334(f334(f334(f23(f926(x65331,x65332)),x65333),x65334),x65335),f334(f334(f23(x65332),f334(x65333,x65335)),f334(x65334,x65335)))
% 164.74/165.09 [6535]~P83(x65352)+E(f334(f334(f334(f123(f926(x65351,x65352)),x65353),x65354),x65355),f334(f334(f123(x65352),f334(x65353,x65355)),f334(x65354,x65355)))
% 164.74/165.09 [6537]~P83(x65372)+E(f334(f334(f334(f114(f926(x65371,x65372)),x65373),x65374),x65375),f334(f334(f114(x65372),f334(x65373,x65375)),f334(x65374,x65375)))
% 164.74/165.09 [6555]E(x65551,x65552)+E(f334(f334(f174(x65553),f334(f334(f169(x65553,x65554),x65551),x65555)),x65552),f334(f334(f174(x65553),x65554),x65552))
% 164.74/165.09 [6822]~E(x68224,f198(f926(x68223,a913)))+E(f334(f334(f23(f926(x68221,a913)),x68222),f334(f334(f48(x68223,f926(x68221,a913)),x68224),x68225)),x68222)
% 164.74/165.09 [6823]~E(x68234,f198(f926(x68233,a913)))+E(f334(f334(f123(f926(x68231,a913)),x68232),f334(f334(f48(x68233,f926(x68231,a913)),x68234),x68235)),x68232)
% 164.74/165.09 [6824]~E(x68244,f198(f926(x68243,a913)))+E(f334(f334(f114(f926(x68241,a913)),x68242),f334(f334(f49(x68243,f926(x68241,a913)),x68244),x68245)),x68242)
% 164.74/165.09 [6839]~E(x68394,f198(f926(x68393,a913)))+E(f334(f334(f316(x68391),x68392),f334(f334(f48(x68393,f926(x68391,a913)),x68394),x68395)),f334(f334(f316(x68391),x68392),f198(f926(x68391,a913))))
% 164.74/165.09 [7620]E(f334(f334(f174(x76201),f334(f334(f164(x76202,x76201),x76203),x76204)),x76205),f334(x76203,f334(f334(f174(x76202),x76204),x76205)))+~P107(f334(f334(f249(a919),x76205),f334(f199(f920(x76202)),x76204)))
% 164.74/165.09 [7682]E(f334(f334(f123(f926(x76821,a913)),f334(x76822,x76823)),f334(f334(f48(x76824,f926(x76821,a913)),x76825),x76822)),f334(f334(f48(x76824,f926(x76821,a913)),x76825),x76822))+~P107(f334(f334(f336(x76824),x76823),x76825))
% 164.74/165.09 [7683]E(f334(f334(f114(f926(x76831,a913)),f334(x76832,x76833)),f334(f334(f49(x76834,f926(x76831,a913)),x76835),x76832)),f334(f334(f49(x76834,f926(x76831,a913)),x76835),x76832))+~P107(f334(f334(f336(x76834),x76833),x76835))
% 164.74/165.09 [8291]~E(x82913,f198(f926(x82911,a913)))+E(f334(f334(f48(x82911,f926(x82912,a913)),x82913),f334(f334(f8(f926(x82912,a913),f926(x82912,a913),x82911),f334(f316(x82912),x82914)),x82915)),f198(f926(x82912,a913)))
% 164.74/165.09 [8297]~P107(f334(f334(f336(x82974),x82973),x82975))+P107(f334(f334(f248(f926(x82971,a913)),f334(x82972,x82973)),f334(f334(f48(x82974,f926(x82971,a913)),x82975),x82972)))
% 164.74/165.09 [8352]E(x83521,f334(f334(f334(a207,x83522),x83523),f334(x83524,x83522)))+~P107(f334(f334(f334(f334(a206,f28(x83523,x83524)),x83522),x83525),x83521))
% 164.74/165.09 [8424]~E(f334(x84244,x84242),x84245)+P107(f334(f334(f336(x84241),x84242),f334(f318(x84241,x84243,x84244),f334(f334(f316(x84243),x84245),f198(f926(x84243,a913))))))
% 164.74/165.09 [8470]~P54(x84701,x84702,f334(f294(x84702,x84701),x84703))+E(f334(f334(f114(f926(x84701,a913)),f334(f293(x84702,x84701,x84703),x84704)),f334(f293(x84702,x84701,x84703),x84705)),f334(f293(x84702,x84701,x84703),f334(f334(f114(f926(x84702,a913)),x84704),x84705)))
% 164.74/165.09 [8548]E(x85481,f2(a112))+E(f334(f131(x85482,x85483,f334(x85484,f334(f334(f23(a112),x85481),f87(a112)))),f334(f334(f7(x85482,a112,f921(x85483)),x85485),x85481)),f334(f212(x85482,x85483,x85484,x85485),x85481))
% 164.74/165.09 [8591]E(x85911,f198(f926(x85912,a913)))+E(f334(f334(f48(x85912,f926(x85913,a913)),x85911),f334(f334(f8(f926(x85913,a913),f926(x85913,a913),x85912),f334(f316(x85913),x85914)),x85915)),f334(f334(f316(x85913),x85914),f334(f334(f48(x85912,f926(x85913,a913)),x85911),x85915)))
% 164.74/165.09 [8645]~P23(x86452,x86451,x86453,f256(f926(x86452,a913)))+E(f334(f334(f23(f926(x86451,a913)),f334(f317(x86452,x86451,x86453),x86454)),f334(f317(x86452,x86451,x86453),x86455)),f334(f317(x86452,x86451,x86453),f334(f334(f23(f926(x86452,a913)),x86454),x86455)))
% 164.74/165.09 [8646]~P23(x86462,x86461,x86463,f256(f926(x86462,a913)))+E(f334(f334(f114(f926(x86461,a913)),f334(f317(x86462,x86461,x86463),x86464)),f334(f317(x86462,x86461,x86463),x86465)),f334(f317(x86462,x86461,x86463),f334(f334(f114(f926(x86462,a913)),x86464),x86465)))
% 164.74/165.09 [8714]~P107(f334(f334(f76(x87141,x87142,x87145),x87143),x87144))+P107(f334(f334(f336(f925(x87141,x87142)),f334(f334(f266(x87141,x87142),x87143),x87144)),x87145))
% 164.74/165.09 [8747]P107(f334(f334(f336(x87471),x87472),f334(f292(x87473,x87471),x87474)))+~P107(f334(f334(f336(f925(x87473,x87471)),f334(f334(f266(x87473,x87471),x87475),x87472)),x87474))
% 164.74/165.09 [8749]P107(f334(f334(f336(x87491),x87492),f334(f264(x87491,x87493),x87494)))+~P107(f334(f334(f336(f925(x87491,x87493)),f334(f334(f266(x87491,x87493),x87492),x87495)),x87494))
% 164.74/165.09 [8896]P107(f334(f334(f76(x88961,x88962,x88963),x88964),x88965))+~P107(f334(f334(f336(f925(x88961,x88962)),f334(f334(f266(x88961,x88962),x88964),x88965)),x88963))
% 164.74/165.09 [8934]E(f334(x89341,x89342),x89343)+~P107(f334(f334(f336(x89344),x89342),f334(f318(x89344,x89345,x89341),f334(f334(f316(x89345),x89343),f198(f926(x89345,a913))))))
% 164.74/165.09 [9177]P107(f334(f334(f336(f925(x91771,x91772)),f334(f334(f266(x91771,x91772),x91773),x91774)),f334(f294(x91772,x91771),x91775)))+~P107(f334(f334(f336(f925(x91772,x91771)),f334(f334(f266(x91772,x91771),x91774),x91773)),x91775))
% 164.74/165.09 [9195]~P107(f334(f334(x91951,x91955),x91954))+P107(f334(f334(x91951,f334(f269(x91952,x91953),f334(f334(f266(x91952,x91953),x91954),x91955))),f334(f265(x91952,x91953),f334(f334(f266(x91952,x91953),x91954),x91955))))
% 164.74/165.09 [9225]~P107(f334(f334(f336(f925(x92252,x92251)),f334(f334(f266(x92252,x92251),x92254),x92253)),f334(f294(x92251,x92252),x92255)))+P107(f334(f334(f336(f925(x92251,x92252)),f334(f334(f266(x92251,x92252),x92253),x92254)),x92255))
% 164.74/165.09 [9258]~P107(f334(f334(f336(f925(x92583,x92581)),f334(f334(f266(x92583,x92581),x92585),x92582)),x92584))+P107(f334(f334(f336(x92581),x92582),f334(f293(x92583,x92581,x92584),f334(f334(f316(x92583),x92585),f198(f926(x92583,a913))))))
% 164.74/165.09 [9306]P107(f334(f334(f336(f925(x93061,x93062)),f334(f334(f266(x93061,x93062),x93063),x93064)),x93065))+~P107(f334(f334(f336(x93062),x93064),f334(f293(x93061,x93062,x93065),f334(f334(f316(x93061),x93063),f198(f926(x93061,a913))))))
% 164.74/165.09 [9391]~P72(x93911)+E(f334(f334(f6(a919,x93911),x93912),f310(a919,f334(f334(f89(a919),x93913),x93914),f334(f334(f89(a919),x93915),x93914))),f334(f334(f6(a919,x93911),f334(f334(f8(a919,x93911,a919),x93912),f334(f334(f7(a919,a919,a919),f89(a919)),x93914))),f310(a919,x93913,x93915)))
% 164.74/165.09 [9416]~P72(x94161)+E(f334(f334(f6(a919,x94161),x94162),f334(f309(a919,f334(f334(f89(a919),x94163),x94164)),f334(f334(f89(a919),x94165),x94164))),f334(f334(f6(a919,x94161),f334(f334(f8(a919,x94161,a919),x94162),f334(f334(f7(a919,a919,a919),f89(a919)),x94164))),f334(f309(a919,x94163),x94165)))
% 164.74/165.09 [9472]~P23(x94721,x94722,x94723,f256(f926(x94721,a913)))+E(f334(f334(f164(x94721,x94722),x94723),f334(f146(x94721,f334(f334(f8(a913,a913,x94721),a329),f334(a331,x94724))),x94725)),f334(f146(x94722,f334(f334(f8(a913,a913,x94722),a329),f334(a331,f334(x94723,x94724)))),f334(f334(f164(x94721,x94722),x94723),x94725)))
% 164.74/165.09 [9493]~P23(x94931,x94932,x94933,f334(f334(f316(x94931),x94934),f334(f182(x94931),x94935)))+E(f334(f334(f164(x94931,x94932),x94933),f334(f146(x94931,f334(f334(f8(a913,a913,x94931),a329),f334(a331,x94934))),x94935)),f334(f146(x94932,f334(f334(f8(a913,a913,x94932),a329),f334(a331,f334(x94933,x94934)))),f334(f334(f164(x94931,x94932),x94933),x94935)))
% 164.74/165.09 [9654]P107(f334(f334(f336(f925(f920(x96541),f920(x96541))),f334(f334(f266(f920(x96541),f920(x96541)),f334(f334(f161(x96541),x96542),x96543)),f334(f334(f161(x96541),x96544),x96543))),f167(x96541,x96545)))+~P107(f334(f334(f336(f925(x96541,x96541)),f334(f334(f266(x96541,x96541),x96542),x96544)),x96545))
% 164.74/165.09 [9695]P107(f334(f334(f334(f334(a206,x96951),x96952),x96953),f474(x96954,x96953,x96952,x96955,x96951)))+~P107(f334(f334(f334(f334(a206,f34(x96951,x96955)),x96952),x96953),x96954))
% 164.74/165.09 [9696]P107(f334(f334(f334(f334(a206,x96961),x96962),x96963),f565(x96964,x96963,x96962,x96965,x96961)))+~P107(f334(f334(f334(f334(a206,f34(x96961,x96965)),x96962),x96963),x96964))
% 164.74/165.09 [9786]E(f334(f334(f316(x97861),f343(x97862,x97863,x97864,x97865,x97861)),f346(x97862,x97863,x97864,x97865,x97861)),f334(f334(f316(x97861),x97864),x97863))+~P107(f334(f71(x97861,x97865,f334(f334(f316(x97861),x97864),x97863)),x97862))
% 164.74/165.09 [9787]E(f334(f334(f316(x97871),f347(x97872,x97873,x97874,x97875,x97871)),f348(x97872,x97873,x97874,x97875,x97871)),f334(f334(f316(x97871),x97874),x97873))+~P107(f334(f71(x97871,x97875,f334(f334(f316(x97871),x97874),x97873)),x97872))
% 164.74/165.09 [9867]P107(f334(f334(f336(x98671),f690(x98672,x98673,x98674,x98675,x98671)),x98674))+P107(f334(f334(f334(f49(x98671,f926(x98675,a913)),x98674),x98673),x98672))
% 164.74/165.09 [9872]P107(f334(f334(f336(x98721),f689(x98722,x98723,x98721,x98724,x98725)),x98723))+P107(f334(f334(f336(x98725),x98724),f334(f334(f49(x98721,f926(x98725,a913)),x98723),x98722)))
% 164.74/165.09 [9880]P107(f334(f334(f336(x98801),f687(x98802,x98803,x98801,x98804,x98805)),x98803))+P107(f334(f334(f248(f926(x98805,a913)),x98804),f334(f334(f49(x98801,f926(x98805,a913)),x98803),x98802)))
% 164.74/165.09 [9882]P107(f334(f334(x98821,f891(x98822,x98821,x98823,x98824,x98825)),x98822))+~P107(f334(f334(f334(f48(x98825,f926(x98824,a913)),x98823),x98821),x98822))
% 164.74/165.09 [9886]P107(f334(f334(f336(x98861),f891(x98862,x98863,x98864,x98865,x98861)),x98864))+~P107(f334(f334(f334(f48(x98861,f926(x98865,a913)),x98864),x98863),x98862))
% 164.74/165.09 [9887]P41(x98874,f334(f334(f49(x98871,f926(x98874,a913)),x98875),x98873),f334(f334(f49(x98871,f926(f925(x98874,x98874),a913)),x98875),x98872))+P107(f334(f334(f336(x98871),f833(x98872,x98873,x98874,x98875,x98871)),x98875))
% 164.74/165.09 [9898]P107(f334(f334(f336(x98981),f897(x98982,x98983,x98981,x98984,x98985)),x98983))+~P107(f334(f334(f336(x98985),x98984),f334(f334(f48(x98981,f926(x98985,a913)),x98983),x98982)))
% 164.74/165.09 [9904]P107(f334(f334(f336(x99041),x99042),f334(x99043,f897(x99043,x99044,x99045,x99042,x99041))))+~P107(f334(f334(f336(x99041),x99042),f334(f334(f48(x99045,f926(x99041,a913)),x99044),x99043)))
% 164.74/165.09 [9992]~P107(f334(f334(x99924,f690(x99925,x99924,x99923,x99922,x99921)),x99925))+P107(f334(f334(f334(f49(x99921,f926(x99922,a913)),x99923),x99924),x99925))
% 164.74/165.09 [9995]~P107(f334(f334(f336(x99951),x99952),f334(x99955,f689(x99955,x99954,x99953,x99952,x99951))))+P107(f334(f334(f336(x99951),x99952),f334(f334(f49(x99953,f926(x99951,a913)),x99954),x99955)))
% 164.74/165.09 [9999]~P41(x99991,f334(x99994,f833(x99995,x99994,x99991,x99993,x99992)),f334(x99995,f833(x99995,x99994,x99991,x99993,x99992)))+P41(x99991,f334(f334(f49(x99992,f926(x99991,a913)),x99993),x99994),f334(f334(f49(x99992,f926(f925(x99991,x99991),a913)),x99993),x99995))
% 164.74/165.09 [10000]~P107(f334(f334(f248(f926(x100001,a913)),x100002),f334(x100005,f687(x100005,x100004,x100003,x100002,x100001))))+P107(f334(f334(f248(f926(x100001,a913)),x100002),f334(f334(f49(x100003,f926(x100001,a913)),x100004),x100005)))
% 164.74/165.09 [10046]P107(f334(f334(f334(f334(a206,x100461),f474(x100462,x100463,x100464,x100461,x100465)),x100463),x100462))+~P107(f334(f334(f334(f334(a206,f34(x100465,x100461)),x100464),x100463),x100462))
% 164.74/165.09 [10047]P107(f334(f334(f334(f334(a206,x100471),f565(x100472,x100473,x100474,x100471,x100475)),x100473),x100472))+~P107(f334(f334(f334(f334(a206,f34(x100475,x100471)),x100474),x100473),x100472))
% 164.74/165.09 [10070]~P107(f334(f334(f336(x100701),f343(x100705,x100704,x100703,x100702,x100701)),f346(x100705,x100704,x100703,x100702,x100701)))+~P107(f334(f71(x100701,x100702,f334(f334(f316(x100701),x100703),x100704)),x100705))
% 164.74/165.09 [10071]~P107(f334(f334(f336(x100711),f347(x100715,x100714,x100713,x100712,x100711)),f348(x100715,x100714,x100713,x100712,x100711)))+~P107(f334(f71(x100711,x100712,f334(f334(f316(x100711),x100713),x100714)),x100715))
% 164.74/165.09 [10072]~P107(f334(f334(f336(f925(x100721,x100721)),f334(f334(f266(x100721,x100721),x100722),x100725)),f334(f334(f193(f925(x100721,x100721),a913),f334(a125,x100724)),x100723)))+P107(f334(f334(f336(f925(x100721,x100721)),f334(f334(f266(x100721,x100721),x100722),f672(x100723,x100724,x100725,x100722,x100721))),f334(f334(f193(f925(x100721,x100721),a913),x100724),x100723)))
% 164.74/165.09 [10078]P107(f334(f75(x100781,x100781,x100782,f343(x100783,x100784,x100785,x100782,x100781),f346(x100783,x100784,x100785,x100782,x100781)),x100783))+~P107(f334(f71(x100781,x100782,f334(f334(f316(x100781),x100785),x100784)),x100783))
% 164.74/165.09 [10079]P107(f334(f75(x100791,x100791,x100792,f347(x100793,x100794,x100795,x100792,x100791),f348(x100793,x100794,x100795,x100792,x100791)),x100793))+~P107(f334(f71(x100791,x100792,f334(f334(f316(x100791),x100795),x100794)),x100793))
% 164.74/165.09 [10091]~P110(x100911)+P12(x100911,f334(f334(f164(x100912,x100911),x100913),f334(f146(x100912,f334(f334(f7(x100912,x100911,a913),f334(f334(f8(x100911,f926(x100911,a913),x100912),a331),x100913)),f334(x100914,x100915))),x100915)))
% 164.74/165.09 [10133]~P107(f334(f334(f336(x101332),x101335),f334(f293(x101331,x101332,x101334),x101333)))+P107(f334(f334(f336(f925(x101331,x101332)),f334(f334(f266(x101331,x101332),f903(x101333,x101334,x101331,x101335,x101332)),x101335)),x101334))
% 164.74/165.09 [10134]~P107(f334(f334(f336(x101342),x101345),f334(f293(x101341,x101342,x101344),x101343)))+P107(f334(f334(f336(f925(x101341,x101342)),f334(f334(f266(x101341,x101342),f344(x101343,x101344,x101341,x101345,x101342)),x101345)),x101344))
% 164.74/165.09 [10154]~P107(f334(f334(f336(f925(x101541,x101541)),f334(f334(f266(x101541,x101541),x101545),x101544)),f334(f334(f193(f925(x101541,x101541),a913),f334(a125,x101543)),x101542)))+P107(f334(f334(f336(f925(x101541,x101541)),f334(f334(f266(x101541,x101541),f672(x101542,x101543,x101544,x101545,x101541)),x101544)),x101542))
% 164.74/165.09 [10157]~P107(f334(f334(f336(f925(x101571,x101571)),f334(f334(f266(x101571,x101571),x101575),x101574)),f334(f334(f193(f925(x101571,x101571),a913),f334(a125,x101573)),x101572)))+P107(f334(f334(f336(f925(x101571,x101571)),f334(f334(f266(x101571,x101571),f670(x101572,x101573,x101574,x101575,x101571)),x101574)),f334(f334(f193(f925(x101571,x101571),a913),x101573),x101572)))
% 164.74/165.09 [10158]~P107(f334(f334(f336(f925(x101581,x101581)),f334(f334(f266(x101581,x101581),x101585),x101584)),f334(f334(f193(f925(x101581,x101581),a913),f334(a125,x101583)),x101582)))+P107(f334(f334(f336(f925(x101581,x101581)),f334(f334(f266(x101581,x101581),f671(x101582,x101583,x101584,x101585,x101581)),x101584)),f334(f334(f193(f925(x101581,x101581),a913),x101583),x101582)))
% 164.74/165.09 [10159]~P107(f334(f334(f336(f925(f920(x101591),f920(x101591))),f334(f334(f266(f920(x101591),f920(x101591)),x101595),f334(f334(f161(x101591),x101594),x101593))),f168(x101591,x101592)))+P107(f334(f334(f336(f925(x101591,x101591)),f334(f334(f266(x101591,x101591),f710(x101592,x101593,x101594,x101595,x101591)),x101594)),x101592))
% 164.74/165.09 [7703]~E(x77033,f198(f926(x77032,a913)))+E(f334(f334(f123(f926(x77031,a913)),f334(f334(f48(x77032,f926(x77031,a913)),x77033),x77034)),x77035),x77035)
% 164.74/165.09 [7704]~E(x77043,f198(f926(x77042,a913)))+E(f334(f334(f114(f926(x77041,a913)),f334(f334(f49(x77042,f926(x77041,a913)),x77043),x77044)),x77045),x77045)
% 164.74/165.09 [8132]~E(x81323,f198(f926(x81322,a913)))+E(f334(f334(f23(f926(x81321,a913)),f334(f334(f49(x81322,f926(x81321,a913)),x81323),x81324)),x81325),f334(f334(f23(f926(x81321,a913)),f256(f926(x81321,a913))),x81325))
% 164.74/165.09 [8264]E(f334(f334(f169(x82641,f334(f334(f144(x82641),x82642),x82643)),x82644),x82645),f334(f334(f144(x82641),f334(f334(f169(x82641,x82642),x82644),x82645)),x82643))+~P107(f334(f334(f249(a919),x82644),f334(f199(f920(x82641)),x82642)))
% 164.74/165.09 [8538]E(f334(f334(f174(x85381),f334(f334(f164(a919,x85381),x85382),f149(a919,f334(f309(a919,x85383),x85384)))),x85385),f334(x85382,f334(f334(f89(a919),x85383),x85385)))+~P107(f334(f334(f249(a919),x85385),f334(f334(f23(a919),x85384),x85383)))
% 164.74/165.09 [8552]E(x85521,f2(a112))+E(f134(x85522,x85523,f334(x85524,f334(f334(f23(a112),x85521),f87(a112))),f334(f334(f7(x85522,a112,f921(f923(x85523))),x85525),x85521)),f334(f210(x85522,x85523,x85524,x85525),x85521))
% 164.74/165.09 [8578]~E(x85783,f198(f926(x85781,a913)))+E(f334(f334(f48(x85781,f926(x85782,a913)),x85783),f334(f334(f8(f926(x85782,a913),f926(x85782,a913),x85781),f334(f123(f926(x85782,a913)),x85784)),x85785)),f198(f926(x85782,a913)))
% 164.74/165.09 [8579]~E(x85793,f198(f926(x85791,a913)))+E(f334(f334(f49(x85791,f926(x85792,a913)),x85793),f334(f334(f8(f926(x85792,a913),f926(x85792,a913),x85791),f334(f23(f926(x85792,a913)),x85794)),x85795)),f256(f926(x85792,a913)))
% 164.74/165.09 [8580]~E(x85803,f198(f926(x85801,a913)))+E(f334(f334(f49(x85801,f926(x85802,a913)),x85803),f334(f334(f8(f926(x85802,a913),f926(x85802,a913),x85801),f334(f114(f926(x85802,a913)),x85804)),x85805)),f256(f926(x85802,a913)))
% 164.74/165.09 [8585]~P139(x85852)+E(f334(f334(f6(x85851,x85852),f334(f334(f8(x85852,x85852,x85851),f334(f90(x85852),x85853)),x85854)),x85855),f334(f334(f90(x85852),x85853),f334(f334(f6(x85851,x85852),x85854),x85855)))
% 164.74/165.09 [8880]E(x88801,f198(f926(x88802,a913)))+E(f334(f334(f48(x88802,f926(x88803,a913)),x88801),f334(f334(f8(f926(x88803,a913),f926(x88803,a913),x88802),f334(f123(f926(x88803,a913)),x88804)),x88805)),f334(f334(f123(f926(x88803,a913)),x88804),f334(f334(f48(x88802,f926(x88803,a913)),x88801),x88805)))
% 164.74/165.09 [8881]E(x88811,f198(f926(x88812,a913)))+E(f334(f334(f49(x88812,f926(x88813,a913)),x88811),f334(f334(f8(f926(x88813,a913),f926(x88813,a913),x88812),f334(f23(f926(x88813,a913)),x88814)),x88815)),f334(f334(f23(f926(x88813,a913)),x88814),f334(f334(f48(x88812,f926(x88813,a913)),x88811),x88815)))
% 164.74/165.09 [8882]E(x88821,f198(f926(x88822,a913)))+E(f334(f334(f49(x88822,f926(x88823,a913)),x88821),f334(f334(f8(f926(x88823,a913),f926(x88823,a913),x88822),f334(f114(f926(x88823,a913)),x88824)),x88825)),f334(f334(f114(f926(x88823,a913)),x88824),f334(f334(f49(x88822,f926(x88823,a913)),x88821),x88825)))
% 164.74/165.09 [9087]~P107(f334(f334(f249(a919),f334(x90874,x90872)),f334(x90874,x90873)))+P107(f334(f334(f336(f925(x90871,x90871)),f334(f334(f266(x90871,x90871),x90872),x90873)),f163(x90871,f334(f334(f161(f926(x90871,a919)),x90874),x90875))))
% 164.74/165.09 [9358]~P23(x93582,x93581,x93583,f334(f334(f123(f926(x93582,a913)),x93584),x93585))+E(f334(f334(f114(f926(x93581,a913)),f334(f317(x93582,x93581,x93583),f334(f334(f23(f926(x93582,a913)),x93584),x93585))),f334(f317(x93582,x93581,x93583),f334(f334(f23(f926(x93582,a913)),x93585),x93584))),f198(f926(x93581,a913)))
% 164.74/165.09 [9619]~P23(x96193,x96191,x96195,f256(f926(x96193,a913)))+E(f334(f81(x96191,x96192,x96193,f334(f81(x96193,x96192,x96191,x96194),f101(x96193,x96191,f256(f926(x96193,a913)),x96195))),x96195),x96194)
% 164.74/165.09 [9650]~P107(f334(f334(f248(f926(x96503,a913)),f334(f293(x96501,x96503,x96504),x96502)),x96505))+P107(f334(f334(f248(f926(x96501,a913)),x96502),f334(f88(f926(x96501,a913)),f334(f293(x96503,x96501,f334(f294(x96501,x96503),x96504)),f334(f88(f926(x96503,a913)),x96505)))))
% 164.74/165.09 [9676]~P23(x96761,x96762,x96763,f334(f334(f316(x96761),x96764),x96765))+~P107(f334(f334(f336(x96762),f334(x96763,x96764)),f334(f317(x96761,x96762,x96763),f334(f334(f23(f926(x96761,a913)),x96765),f334(f334(f316(x96761),x96764),f198(f926(x96761,a913)))))))
% 164.74/165.09 [9738]P107(f334(f334(f248(f926(x97381,a913)),f334(f293(x97382,x97381,x97383),x97384)),x97385))+~P107(f334(f334(f248(f926(x97382,a913)),x97384),f334(f88(f926(x97382,a913)),f334(f293(x97381,x97382,f334(f294(x97382,x97381),x97383)),f334(f88(f926(x97381,a913)),x97385)))))
% 164.74/165.09 [9813]~P91(x98131)+P107(f334(f334(f248(x98131),f334(f84(x98131),f334(f334(f23(x98131),f334(f334(f89(x98131),x98132),x98133)),f334(f334(f89(x98131),x98134),x98135)))),f334(f334(f89(x98131),f334(f84(x98131),f334(f334(f23(x98131),x98132),x98134))),f334(f84(x98131),f334(f334(f23(x98131),x98133),x98135)))))
% 164.74/165.09 [9920]P107(f334(f334(f336(x99201),f899(x99202,x99203,x99204,x99201,x99205)),x99204))+P107(f334(f334(f248(f926(x99205,a913)),f334(f334(f48(x99201,f926(x99205,a913)),x99204),x99203)),x99202))
% 164.74/165.09 [10112]~P107(f334(f334(f248(f926(x101121,a913)),f334(x101124,f899(x101125,x101124,x101123,x101122,x101121))),x101125))+P107(f334(f334(f248(f926(x101121,a913)),f334(f334(f48(x101122,f926(x101121,a913)),x101123),x101124)),x101125))
% 164.74/165.09 [8693]E(f334(f334(f144(x86931),x86932),f334(f334(f169(x86931,x86933),f334(f334(f23(a919),x86934),f334(f199(f920(x86931)),x86932))),x86935)),f334(f334(f169(x86931,f334(f334(f144(x86931),x86932),x86933)),x86934),x86935))+P107(f334(f334(f249(a919),x86934),f334(f199(f920(x86931)),x86932)))
% 164.74/165.09 [8722]~P140(x87221)+E(f334(f334(f89(x87221),f334(f334(f90(x87221),x87222),x87223)),f334(f334(f89(x87221),f334(f334(f90(x87221),x87224),x87223)),x87225)),f334(f334(f89(x87221),f334(f334(f90(x87221),f334(f334(f89(x87221),x87222),x87224)),x87223)),x87225))
% 164.74/165.09 [9315]~P139(x93151)+E(f334(f175(x93151),f334(f334(f164(x93152,x93151),f334(f334(f8(x93151,x93151,x93152),f334(f90(x93151),x93153)),x93154)),x93155)),f334(f334(f90(x93151),x93153),f334(f175(x93151),f334(f334(f164(x93152,x93151),x93154),x93155))))
% 164.74/165.09 [9492]E(f334(f199(f920(x94921)),f334(f334(f185(x94921),f334(f334(f246(a919),f334(f199(f920(x94921)),x94922)),f334(f199(f920(x94923)),x94924))),x94922)),f334(f199(f920(x94923)),f334(f334(f185(x94923),f334(f334(f246(a919),f334(f199(f920(x94921)),x94922)),f334(f199(f920(x94923)),x94924))),x94924)))+P107(f334(x94925,f334(f334(f191(x94921,x94923),x94922),x94924)))
% 164.74/165.09 [9749]~P139(x97492)+E(f334(f334(f6(x97491,x97492),f334(f334(f7(x97491,x97492,x97492),f334(f334(f8(x97492,f926(x97492,x97492),x97491),f90(x97492)),x97493)),x97494)),x97495),f334(f334(f90(x97492),f334(f334(f6(x97491,x97492),x97493),x97495)),x97494))
% 164.74/165.09 [9750]~P66(x97502)+E(f334(f334(f6(x97501,x97502),f334(f334(f7(x97501,x97502,x97502),f334(f334(f8(x97502,f926(x97502,x97502),x97501),f297(x97502)),x97503)),x97504)),x97505),f334(f334(f297(x97502),f334(f334(f6(x97501,x97502),x97503),x97505)),x97504))
% 164.74/165.09 [9757]~P63(x97572)+E(f334(f334(f6(x97571,x97572),f334(f334(f18(x97571,x97572,x97572),f334(f334(f8(x97572,f926(x97572,x97572),x97571),f23(x97572)),x97573)),x97574)),x97575),f334(f334(f23(x97572),f334(f334(f6(x97571,x97572),x97573),x97575)),f334(f334(f6(x97571,x97572),x97574),x97575)))
% 164.74/165.09 [9758]~P72(x97582)+E(f334(f334(f6(x97581,x97582),f334(f334(f18(x97581,x97582,x97582),f334(f334(f8(x97582,f926(x97582,x97582),x97581),f89(x97582)),x97583)),x97584)),x97585),f334(f334(f89(x97582),f334(f334(f6(x97581,x97582),x97583),x97585)),f334(f334(f6(x97581,x97582),x97584),x97585)))
% 164.74/165.09 [9759]~P76(x97592)+E(f334(f334(f9(x97591,x97592),f334(f334(f18(x97591,x97592,x97592),f334(f334(f8(x97592,f926(x97592,x97592),x97591),f90(x97592)),x97593)),x97594)),x97595),f334(f334(f90(x97592),f334(f334(f9(x97591,x97592),x97593),x97595)),f334(f334(f9(x97591,x97592),x97594),x97595)))
% 164.74/165.09 [9798]~E(x97983,f198(f926(x97981,a913)))+E(f334(f334(f48(x97981,f926(x97982,a913)),x97983),f334(f334(f7(x97981,f926(x97982,a913),f926(x97982,a913)),f334(f334(f8(f926(x97982,a913),f926(f926(x97982,a913),f926(x97982,a913)),x97981),f123(f926(x97982,a913))),x97984)),x97985)),f198(f926(x97982,a913)))
% 164.74/165.09 [9799]~E(x97993,f198(f926(x97991,a913)))+E(f334(f334(f49(x97991,f926(x97992,a913)),x97993),f334(f334(f7(x97991,f926(x97992,a913),f926(x97992,a913)),f334(f334(f8(f926(x97992,a913),f926(f926(x97992,a913),f926(x97992,a913)),x97991),f23(f926(x97992,a913))),x97994)),x97995)),f256(f926(x97992,a913)))
% 164.74/165.09 [9800]~E(x98003,f198(f926(x98001,a913)))+E(f334(f334(f49(x98001,f926(x98002,a913)),x98003),f334(f334(f7(x98001,f926(x98002,a913),f926(x98002,a913)),f334(f334(f8(f926(x98002,a913),f926(f926(x98002,a913),f926(x98002,a913)),x98001),f114(f926(x98002,a913))),x98004)),x98005)),f256(f926(x98002,a913)))
% 164.74/165.09 [9821]E(x98211,f198(f926(x98212,a913)))+E(f334(f334(f48(x98212,f926(x98213,a913)),x98211),f334(f334(f7(x98212,f926(x98213,a913),f926(x98213,a913)),f334(f334(f8(f926(x98213,a913),f926(f926(x98213,a913),f926(x98213,a913)),x98212),f123(f926(x98213,a913))),x98214)),x98215)),f334(f334(f123(f926(x98213,a913)),f334(f334(f48(x98212,f926(x98213,a913)),x98211),x98214)),x98215))
% 164.74/165.09 [9822]E(x98221,f198(f926(x98222,a913)))+E(f334(f334(f49(x98222,f926(x98223,a913)),x98221),f334(f334(f7(x98222,f926(x98223,a913),f926(x98223,a913)),f334(f334(f8(f926(x98223,a913),f926(f926(x98223,a913),f926(x98223,a913)),x98222),f23(f926(x98223,a913))),x98224)),x98225)),f334(f334(f23(f926(x98223,a913)),f334(f334(f49(x98222,f926(x98223,a913)),x98221),x98224)),x98225))
% 164.74/165.09 [9823]E(x98231,f198(f926(x98232,a913)))+E(f334(f334(f49(x98232,f926(x98233,a913)),x98231),f334(f334(f7(x98232,f926(x98233,a913),f926(x98233,a913)),f334(f334(f8(f926(x98233,a913),f926(f926(x98233,a913),f926(x98233,a913)),x98232),f114(f926(x98233,a913))),x98234)),x98235)),f334(f334(f114(f926(x98233,a913)),f334(f334(f49(x98232,f926(x98233,a913)),x98231),x98234)),x98235))
% 164.74/165.09 [9363]~P107(f334(f334(f248(a919),x93631),x93634))+E(f334(f334(f23(a919),f334(f334(f89(a919),f334(f334(f90(a919),x93631),x93632)),x93633)),f334(f334(f89(a919),f334(f334(f90(a919),x93634),x93632)),x93635)),f334(f334(f23(a919),x93633),f334(f334(f89(a919),f334(f334(f90(a919),f334(f334(f23(a919),x93634),x93631)),x93632)),x93635)))
% 164.74/165.09 [9974]~P139(x99741)+E(f334(f175(x99741),f334(f334(f164(x99742,x99741),f334(f334(f7(x99742,x99741,x99741),f334(f334(f8(x99741,f926(x99741,x99741),x99742),f90(x99741)),x99743)),x99744)),x99745)),f334(f334(f90(x99741),f334(f175(x99741),f334(f334(f164(x99742,x99741),x99743),x99745))),x99744))
% 164.74/165.09 [9980]~P63(x99801)+E(f334(f175(x99801),f334(f334(f164(x99802,x99801),f334(f334(f18(x99802,x99801,x99801),f334(f334(f8(x99801,f926(x99801,x99801),x99802),f23(x99801)),x99803)),x99804)),x99805)),f334(f334(f23(x99801),f334(f175(x99801),f334(f334(f164(x99802,x99801),x99803),x99805))),f334(f175(x99801),f334(f334(f164(x99802,x99801),x99804),x99805))))
% 164.74/165.09 [9981]~P72(x99811)+E(f334(f175(x99811),f334(f334(f164(x99812,x99811),f334(f334(f18(x99812,x99811,x99811),f334(f334(f8(x99811,f926(x99811,x99811),x99812),f89(x99811)),x99813)),x99814)),x99815)),f334(f334(f89(x99811),f334(f175(x99811),f334(f334(f164(x99812,x99811),x99813),x99815))),f334(f175(x99811),f334(f334(f164(x99812,x99811),x99814),x99815))))
% 164.74/165.09 [10125]P107(f334(x101251,f334(f334(f191(x101252,x101253),x101254),x101255)))+~P107(f334(x101251,f334(f334(f191(x101252,x101253),f334(f334(f185(x101252),f334(f334(f246(a919),f334(f199(f920(x101252)),x101254)),f334(f199(f920(x101253)),x101255))),x101254)),f334(f334(f185(x101253),f334(f334(f246(a919),f334(f199(f920(x101252)),x101254)),f334(f199(f920(x101253)),x101255))),x101255))))
% 164.74/165.09 [10376]~P107(f334(f334(f336(f925(x103762,x103761)),f334(f334(f266(x103762,x103761),x103764),x103765)),f334(f294(x103761,x103762),x103763)))+P107(f334(f334(f257(x103761,x103762,f334(f334(f7(x103761,f926(f925(x103761,x103762),a913),f926(x103762,a913)),f334(f334(f8(f926(x103762,f926(f926(f925(x103761,x103762),a913),a913)),f926(f926(f925(x103761,x103762),a913),f926(x103762,a913)),x103761),f7(x103762,f926(f925(x103761,x103762),a913),a913)),f334(f334(f8(f926(x103762,f925(x103761,x103762)),f926(x103762,f926(f926(f925(x103761,x103762),a913),a913)),x103761),f334(f8(f925(x103761,x103762),f926(f926(f925(x103761,x103762),a913),a913),x103762),f336(f925(x103761,x103762)))),f266(x103761,x103762)))),x103763)),x103764),x103765))
% 164.74/165.09 [10387]P107(f334(f334(f336(f925(x103871,x103872)),f334(f334(f266(x103871,x103872),x103873),x103874)),f334(f294(x103872,x103871),x103875)))+~P107(f334(f334(f257(x103872,x103871,f334(f334(f7(x103872,f926(f925(x103872,x103871),a913),f926(x103871,a913)),f334(f334(f8(f926(x103871,f926(f926(f925(x103872,x103871),a913),a913)),f926(f926(f925(x103872,x103871),a913),f926(x103871,a913)),x103872),f7(x103871,f926(f925(x103872,x103871),a913),a913)),f334(f334(f8(f926(x103871,f925(x103872,x103871)),f926(x103871,f926(f926(f925(x103872,x103871),a913),a913)),x103872),f334(f8(f925(x103872,x103871),f926(f926(f925(x103872,x103871),a913),a913),x103871),f336(f925(x103872,x103871)))),f266(x103872,x103871)))),x103875)),x103873),x103874))
% 164.74/165.09 [9618]~P107(f334(f334(f248(a919),x96184),x96181))+E(f334(f334(f23(a919),f334(f334(f89(a919),f334(f334(f90(a919),x96181),x96182)),x96183)),f334(f334(f89(a919),f334(f334(f90(a919),x96184),x96182)),x96185)),f334(f334(f23(a919),f334(f334(f89(a919),f334(f334(f90(a919),f334(f334(f23(a919),x96181),x96184)),x96182)),x96183)),x96185))
% 164.74/165.09 [5419]E(x54191,x54192)+~E(f30(x54193,x54194,x54191),f30(x54195,x54196,x54192))
% 164.74/165.09 [5420]E(x54201,x54202)+~E(f30(x54203,x54201,x54204),f30(x54205,x54202,x54206))
% 164.74/165.09 [5421]E(x54211,x54212)+~E(f30(x54211,x54213,x54214),f30(x54212,x54215,x54216))
% 164.74/165.09 [5422]E(x54221,x54222)+~E(f31(x54223,x54224,x54221),f31(x54225,x54226,x54222))
% 164.74/165.09 [5423]E(x54231,x54232)+~E(f31(x54233,x54231,x54234),f31(x54235,x54232,x54236))
% 164.74/165.09 [5424]E(x54241,x54242)+~E(f31(x54241,x54243,x54244),f31(x54242,x54245,x54246))
% 164.74/165.09 [7400]E(x74001,x74002)+~E(f234(x74003,x74004,x74005,x74001),f234(x74003,x74004,x74006,x74002))
% 164.74/165.09 [7401]E(x74011,x74012)+~E(f234(x74013,x74014,x74011,x74015),f234(x74013,x74014,x74012,x74016))
% 164.74/165.09 [8519]~P17(x85195,x85191,x85192,x85196)+E(f334(f81(x85191,x85191,x85191,f334(x85192,x85193)),f334(x85192,x85194)),f334(f81(x85191,x85191,x85191,f334(x85192,x85194)),f334(x85192,x85193)))
% 164.74/165.09 [8766]~P56(x87664,x87665,x87662,x87661,x87666)+E(f334(x87661,f334(x87662,x87663)),x87663)
% 164.74/165.09 [8932]P23(x89321,x89322,x89323,x89324)+~P23(x89321,x89325,f334(f81(x89322,x89325,x89321,x89326),x89323),x89324)
% 164.74/165.09 [9005]~E(x90056,x90054)+E(f334(f83(x90051,x90052,x90053,x90054,x90055),x90056),x90055)
% 164.74/165.09 [9011]E(x90111,x90112)+E(f334(f83(x90113,x90114,x90115,x90112,x90116),x90111),f334(x90115,x90111))
% 164.74/165.09 [9023]~P23(x90234,x90232,f334(f81(x90231,x90232,x90234,x90233),x90235),x90236)+P23(x90231,x90232,x90233,f334(f317(x90234,x90231,x90235),x90236))
% 164.74/165.09 [9760]P107(f334(f70(x97601),x97602))+~P107(f334(f75(x97601,x97603,x97604,x97605,x97602),x97606))
% 164.74/165.09 [9769]~P107(f334(f334(f336(x97694),x97693),f307(x97694,x97695,x97691,x97692,x97696)))+P107(f334(f334(x97691,x97692),x97693))
% 164.74/165.09 [9770]~P107(f334(f334(f336(x97704),x97703),f304(x97704,x97701,x97705,x97702,x97706)))+P107(f334(f334(x97701,x97702),x97703))
% 164.74/165.09 [9771]~P107(f334(f334(f336(x97714),x97712),f307(x97714,x97711,x97715,x97716,x97713)))+P107(f334(f334(x97711,x97712),x97713))
% 164.74/165.09 [9772]~P107(f334(f334(f336(x97724),x97722),f304(x97724,x97725,x97721,x97726,x97723)))+P107(f334(f334(x97721,x97722),x97723))
% 164.74/165.09 [10272]P11(x102721,x102722,x102723,x102724,x102725,x102726)+~E(f334(f334(x102726,f379(x102723,x102726,x102725,x102722,x102724,x102721)),f381(x102723,x102726,x102725,x102722,x102724,x102721)),f334(f334(x102726,f380(x102723,x102726,x102725,x102722,x102724,x102721)),f382(x102723,x102726,x102725,x102722,x102724,x102721)))
% 164.74/165.09 [5915]E(x59151,x59152)+~E(f334(f334(f266(x59153,x59154),x59155),x59151),f334(f334(f266(x59153,x59154),x59156),x59152))
% 164.74/165.09 [5917]E(x59171,x59172)+~E(f334(f334(f266(x59173,x59174),x59171),x59175),f334(f334(f266(x59173,x59174),x59172),x59176))
% 164.74/165.09 [6043]~P14(x60435,x60436,x60431)+E(f334(f334(x60431,x60432),f334(f334(x60431,x60433),x60434)),f334(f334(x60431,x60433),f334(f334(x60431,x60432),x60434)))
% 164.74/165.09 [7463]~P33(x74634,x74631,f334(f334(f161(x74634),x74632),x74635),f334(f334(f161(x74634),x74633),x74636))+P107(f334(f334(x74631,x74632),x74633))
% 164.74/165.09 [7817]P33(x78171,x78172,x78173,x78174)+~P33(x78171,x78172,f334(f334(f161(x78171),x78175),x78173),f334(f334(f161(x78171),x78176),x78174))
% 164.74/165.09 [8871]~P56(x88715,x88711,x88712,x88716,x88714)+P107(f334(f334(f336(x88711),f334(x88712,x88713)),x88714))
% 164.74/165.09 [9051]E(f334(f85(x90511,x90512,x90513,x90514,x90515),x90516),f334(x90513,x90516))+P107(f334(f334(f336(x90511),x90516),x90515))
% 164.74/165.09 [9075]~E(x90753,f334(f334(f161(x90751),x90755),x90756))+P107(f334(f334(f336(f925(f920(x90751),f920(x90751))),f334(f334(f266(f920(x90751),f920(x90751)),x90752),f334(f334(f144(x90751),x90752),x90753))),f157(x90751,x90754)))
% 164.74/165.09 [9081]E(f334(f85(x90811,x90812,x90813,x90814,x90815),x90816),f334(x90814,x90816))+~P107(f334(f334(f336(x90811),x90816),x90815))
% 164.74/165.09 [9319]~P35(x93191,x93192,x93193,x93195,x93196)+P35(x93191,x93192,x93193,f334(f334(f185(x93191),x93194),x93195),f334(f334(f185(x93192),x93194),x93196))
% 164.74/165.09 [9320]~P35(x93201,x93202,x93203,x93205,x93206)+P35(x93201,x93202,x93203,f334(f334(f148(x93201),x93204),x93205),f334(f334(f148(x93202),x93204),x93206))
% 164.74/165.09 [9585]E(f334(f317(x95851,x95852,f83(x95851,x95852,x95853,x95854,x95855)),x95856),f334(f317(x95851,x95852,x95853),x95856))+P107(f334(f334(f336(x95851),x95854),x95856))
% 164.74/165.09 [9588]E(f334(f334(f164(x95881,x95882),f83(x95881,x95882,x95883,x95884,x95885)),x95886),f334(f334(f164(x95881,x95882),x95883),x95886))+P107(f334(f334(f336(x95881),x95884),f334(f182(x95881),x95886)))
% 164.74/165.09 [9833]~P21(x98334,x98332,x98335,x98333,x98336,x98331)+E(f334(x98331,f198(f926(x98332,a913))),x98333)
% 164.74/165.09 [10073]~E(f334(x100734,f334(f265(x100731,x100733),x100735)),f334(x100736,f334(f265(x100731,x100733),x100735)))+E(f334(f271(x100731,x100732,x100733,x100733,x100734,f25(x100733)),x100735),f334(f271(x100731,x100732,x100733,x100733,x100736,f25(x100733)),x100735))
% 164.74/165.09 [10074]~E(f334(x100744,f334(f269(x100741,x100742),x100745)),f334(x100746,f334(f269(x100741,x100742),x100745)))+E(f334(f271(x100741,x100741,x100742,x100743,f25(x100741),x100744),x100745),f334(f271(x100741,x100741,x100742,x100743,f25(x100741),x100746),x100745))
% 164.74/165.09 [10106]P107(f334(f334(f334(f334(a206,x101061),f334(f334(f334(a207,x101062),f36(x101063)),f334(x101064,x101062))),x101065),f378(x101066,x101065,x101062,x101061,x101064,x101063)))+~P107(f334(f334(f334(f334(a206,f30(x101063,x101064,x101061)),x101062),x101065),f334(f334(f334(a207,x101066),f36(x101063)),f208(x101062,x101063))))
% 164.74/165.09 [10121]~E(f334(f271(x101212,x101216,x101213,x101213,x101211,f25(x101213)),x101214),f334(f271(x101212,x101216,x101213,x101213,x101215,f25(x101213)),x101214))+E(f334(x101211,f334(f265(x101212,x101213),x101214)),f334(x101215,f334(f265(x101212,x101213),x101214)))
% 164.74/165.09 [10122]~E(f334(f271(x101222,x101222,x101223,x101226,f25(x101222),x101221),x101224),f334(f271(x101222,x101222,x101223,x101226,f25(x101222),x101225),x101224))+E(f334(x101221,f334(f269(x101222,x101223),x101224)),f334(x101225,f334(f269(x101222,x101223),x101224)))
% 164.74/165.09 [10196]E(f334(f334(f334(a207,f378(x101961,x101962,x101963,x101964,x101965,x101966)),f36(x101966)),f208(x101963,x101966)),f334(f334(f334(a207,x101961),f36(x101966)),f208(x101963,x101966)))+~P107(f334(f334(f334(f334(a206,f30(x101966,x101965,x101964)),x101963),x101962),f334(f334(f334(a207,x101961),f36(x101966)),f208(x101963,x101966))))
% 164.74/165.09 [8972]P107(f334(f334(f336(x89721),x89722),x89723))+~P107(f334(f334(f336(f925(x89721,x89724)),f334(f334(f266(x89721,x89724),x89722),x89725)),f334(f334(f268(x89721,x89724),x89723),x89726)))
% 164.74/165.09 [8988]P107(f334(f334(f336(x89881),x89882),f334(x89883,x89884)))+~P107(f334(f334(f336(f925(x89885,x89881)),f334(f334(f266(x89885,x89881),x89884),x89882)),f334(f334(f268(x89885,x89881),x89886),x89883)))
% 164.74/165.09 [9437]P107(f334(f334(f336(f925(x94371,x94371)),f334(f334(f266(x94371,x94371),f334(x94372,x94373)),f334(x94372,x94374))),x94375))+~P107(f334(f334(f336(f925(x94376,x94376)),f334(f334(f266(x94376,x94376),x94373),x94374)),f334(f334(f295(x94371,x94376),x94375),x94372)))
% 164.74/165.09 [9459]~P107(f334(f334(f336(f925(x94594,x94594)),f334(f334(f266(x94594,x94594),f334(x94596,x94592)),f334(x94596,x94593))),x94595))+P107(f334(f334(f336(f925(x94591,x94591)),f334(f334(f266(x94591,x94591),x94592),x94593)),f334(f334(f295(x94594,x94591),x94595),x94596)))
% 164.74/165.09 [10124]E(f334(f334(f266(x101241,x101242),f703(x101243,x101244,x101245,x101246,x101242,x101241)),f706(x101243,x101244,x101245,x101246,x101242,x101241)),x101246)+~P107(f334(f334(f336(f925(x101241,x101242)),x101246),f334(f334(f296(x101241,x101245,x101242),x101244),x101243)))
% 164.74/165.09 [10330]~P107(f334(f334(f336(f925(x103301,x103306)),x103305),f334(f334(f296(x103301,x103302,x103306),x103304),x103303)))+P107(f334(f334(f336(f925(x103301,x103302)),f334(f334(f266(x103301,x103302),f703(x103303,x103304,x103302,x103305,x103306,x103301)),f707(x103303,x103304,x103302,x103305,x103306,x103301))),x103304))
% 164.74/165.09 [10331]~P107(f334(f334(f336(f925(x103316,x103312)),x103315),f334(f334(f296(x103316,x103311,x103312),x103314),x103313)))+P107(f334(f334(f336(f925(x103311,x103312)),f334(f334(f266(x103311,x103312),f707(x103313,x103314,x103311,x103315,x103312,x103316)),f706(x103313,x103314,x103311,x103315,x103312,x103316))),x103313))
% 164.74/165.09 [10332]P11(x103321,x103322,x103323,x103324,x103325,x103326)+P107(f334(f334(f336(f925(x103322,x103322)),f334(f334(f266(x103322,x103322),f382(x103323,x103326,x103325,x103322,x103324,x103321)),f381(x103323,x103326,x103325,x103322,x103324,x103321))),x103325))
% 164.74/165.09 [10333]P11(x103331,x103332,x103333,x103334,x103335,x103336)+P107(f334(f334(f336(f925(x103331,x103331)),f334(f334(f266(x103331,x103331),f380(x103333,x103336,x103335,x103332,x103334,x103331)),f379(x103333,x103336,x103335,x103332,x103334,x103331))),x103334))
% 164.74/165.09 [7889]~P3(x78892)+E(f334(f334(f48(x78891,x78892),x78893),f334(f334(f7(x78891,x78894,x78892),x78895),x78896)),f334(f334(f334(f48(x78891,f926(x78894,x78892)),x78893),x78895),x78896))
% 164.74/165.09 [7890]~P3(x78902)+E(f334(f334(f49(x78901,x78902),x78903),f334(f334(f7(x78901,x78904,x78902),x78905),x78906)),f334(f334(f334(f49(x78901,f926(x78904,x78902)),x78903),x78905),x78906))
% 164.74/165.09 [8675]E(f334(f334(f48(x86751,f926(x86752,a913)),x86753),f334(f334(f8(f926(x86752,a913),f926(x86752,a913),x86751),f334(f316(x86752),x86754)),x86755)),f334(f334(f316(x86752),x86754),f334(f334(f48(x86751,f926(x86752,a913)),x86753),x86755)))+~P107(f334(f334(f336(x86751),x86756),x86753))
% 164.74/165.09 [9135]~P3(x91352)+E(f334(f334(f48(x91351,x91352),x91353),f334(f334(f8(f926(x91354,x91352),x91352,x91351),f334(f48(x91354,x91352),x91355)),f334(f7(x91354,x91351,x91352),x91356))),f334(f334(f48(x91354,x91352),x91355),f334(f334(f8(f926(x91351,x91352),x91352,x91354),f334(f48(x91351,x91352),x91353)),x91356)))
% 164.74/165.09 [9136]~P3(x91362)+E(f334(f334(f49(x91361,x91362),x91363),f334(f334(f8(f926(x91364,x91362),x91362,x91361),f334(f49(x91364,x91362),x91365)),f334(f7(x91364,x91361,x91362),x91366))),f334(f334(f49(x91364,x91362),x91365),f334(f334(f8(f926(x91361,x91362),x91362,x91364),f334(f49(x91361,x91362),x91363)),x91366)))
% 164.74/165.09 [9345]P107(f334(f334(f336(x93451),x93452),f334(f182(x93451),x93453)))+~P107(f334(f334(f336(f925(x93454,x93451)),f334(f334(f266(x93454,x93451),x93455),x93452)),f334(f182(f925(x93454,x93451)),f334(f334(f191(x93454,x93451),x93456),x93453))))
% 164.74/165.09 [9346]P107(f334(f334(f336(x93461),x93462),f334(f182(x93461),x93463)))+~P107(f334(f334(f336(f925(x93461,x93464)),f334(f334(f266(x93461,x93464),x93462),x93465)),f334(f182(f925(x93461,x93464)),f334(f334(f191(x93461,x93464),x93463),x93466))))
% 164.74/165.09 [9453]P107(f334(f334(f248(f926(x94531,a913)),f334(f293(x94532,x94531,x94533),x94534)),x94535))+~P107(f334(f334(f248(f926(f925(x94532,x94531),a913)),x94533),f334(f334(f268(x94532,x94531),x94536),f334(f16(f926(x94531,a913),x94532),x94535))))
% 164.74/165.09 [9460]~P24(x94604,x94602,x94605,f256(f926(x94604,a913)),f256(f926(x94602,a913)))+E(f334(f334(f49(x94601,f926(x94602,a913)),x94603),f334(f334(f8(f926(x94604,a913),f926(x94602,a913),x94601),f317(x94604,x94602,x94605)),x94606)),f334(f317(x94604,x94602,x94605),f334(f334(f49(x94601,f926(x94604,a913)),x94603),x94606)))
% 164.74/165.09 [9653]P107(f334(f334(f336(f925(f920(x96531),f920(x96531))),f334(f334(f266(f920(x96531),f920(x96531)),f334(f334(f161(x96531),x96532),x96533)),f334(f334(f161(x96531),x96534),x96535))),f157(x96531,x96536)))+~P107(f334(f334(f336(f925(x96531,x96531)),f334(f334(f266(x96531,x96531),x96532),x96534)),x96536))
% 164.74/165.09 [9687]P107(f334(f334(f334(f334(a206,f30(x96871,x96872,x96873)),x96874),x96875),f334(f334(f334(a207,x96876),f36(x96871)),f208(x96874,x96871))))+~P107(f334(f334(f334(f334(a206,x96873),f334(f334(f334(a207,x96874),f36(x96871)),f334(x96872,x96874))),x96875),x96876))
% 164.74/165.09 [10103]P107(f334(f334(f334(f334(a206,x101031),f334(f334(f334(a207,x101032),f36(x101033)),f334(x101034,x101032))),x101035),f506(x101036,x101035,x101032,x101031,x101034,x101033)))+~P107(f334(f334(f334(f334(a206,f30(x101033,x101034,x101031)),x101032),x101035),x101036))
% 164.74/165.09 [10120]E(f334(f334(f266(x101201,x101202),f635(x101203,x101204,x101205,x101202,x101201,x101206)),f636(x101203,x101204,x101205,x101202,x101201,x101206)),x101206)+P107(f334(f334(f336(x101205),x101204),f334(f334(f270(x101201,x101202,f926(x101205,a913)),x101203),x101206)))
% 164.74/165.09 [10126]E(f334(f334(f266(x101261,x101262),f637(x101263,x101264,x101262,x101261,x101265,x101266)),f638(x101263,x101264,x101262,x101261,x101265,x101266)),x101263)+~P107(f334(f334(f336(x101266),x101265),f334(f334(f270(x101261,x101262,f926(x101266,a913)),x101264),x101263)))
% 164.74/165.09 [10193]E(f334(f334(f334(a207,f506(x101931,x101932,x101933,x101934,x101935,x101936)),f36(x101936)),f208(x101933,x101936)),x101931)+~P107(f334(f334(f334(f334(a206,f30(x101936,x101935,x101934)),x101933),x101932),x101931))
% 164.74/165.09 [10283]P107(f334(f334(f336(x102831),x102832),f334(f334(x102833,f637(x102834,x102833,x102835,x102836,x102832,x102831)),f638(x102834,x102833,x102835,x102836,x102832,x102831))))+~P107(f334(f334(f336(x102831),x102832),f334(f334(f270(x102836,x102835,f926(x102831,a913)),x102833),x102834)))
% 164.74/165.09 [10305]~P107(f334(f334(f336(x103051),x103052),f334(f334(x103055,f635(x103055,x103052,x103051,x103054,x103053,x103056)),f636(x103055,x103052,x103051,x103054,x103053,x103056))))+P107(f334(f334(f336(x103051),x103052),f334(f334(f270(x103053,x103054,f926(x103051,a913)),x103055),x103056)))
% 164.74/165.09 [8570]E(x85701,x85702)+E(f334(f334(f169(x85703,f334(f334(f169(x85703,x85704),x85701),x85705)),x85702),x85706),f334(f334(f169(x85703,f334(f334(f169(x85703,x85704),x85702),x85706)),x85701),x85705))
% 164.74/165.09 [9723]~P107(f334(f334(f336(x97233),x97236),x97235))+E(f334(f334(f316(x97231),x97232),f334(f317(x97233,x97231,x97234),f334(f334(f23(f926(x97233,a913)),x97235),f334(f334(f316(x97233),x97236),f198(f926(x97233,a913)))))),f334(f317(x97233,x97231,f83(x97233,x97231,x97234,x97236,x97232)),x97235))
% 164.74/165.09 [9218]~P107(f334(f334(x92184,x92185),x92186))+P107(f334(f334(f334(f334(f123(f926(x92181,f926(x92182,a913))),x92183),x92184),x92185),x92186))
% 164.74/165.09 [9220]~P107(f334(f334(x92203,x92205),x92206))+P107(f334(f334(f334(f334(f123(f926(x92201,f926(x92202,a913))),x92203),x92204),x92205),x92206))
% 164.74/165.09 [9513]P107(f334(f334(x95131,x95132),x95133))+~P107(f334(f334(f334(f334(f114(f926(x95134,f926(x95135,a913))),x95136),x95131),x95132),x95133))
% 164.74/165.09 [9514]P107(f334(f334(x95141,x95142),x95143))+~P107(f334(f334(f334(f334(f114(f926(x95144,f926(x95145,a913))),x95141),x95146),x95142),x95143))
% 164.74/165.09 [9962]~P72(x99622)+E(f334(f334(f6(x99621,x99622),f334(f334(f7(x99621,f926(x99623,a913),x99622),f334(f334(f8(f926(x99623,x99622),f926(f926(x99623,a913),x99622),x99621),f6(x99623,x99622)),x99624)),x99625)),x99626),f334(f334(f6(f925(x99621,x99623),x99622),f334(f270(x99621,x99623,x99622),x99624)),f334(f334(f268(x99621,x99623),x99626),f334(f16(f926(x99623,a913),x99621),x99625))))
% 164.74/165.09 [9963]~P76(x99632)+E(f334(f334(f9(x99631,x99632),f334(f334(f7(x99631,f926(x99633,a913),x99632),f334(f334(f8(f926(x99633,x99632),f926(f926(x99633,a913),x99632),x99631),f9(x99633,x99632)),x99634)),x99635)),x99636),f334(f334(f9(f925(x99631,x99633),x99632),f334(f270(x99631,x99633,x99632),x99634)),f334(f334(f268(x99631,x99633),x99636),f334(f16(f926(x99633,a913),x99631),x99635))))
% 164.74/165.09 [10100]~P72(x101002)+E(f334(f334(f6(x101001,x101002),f334(f334(f7(x101001,f926(x101003,a913),x101002),f334(f334(f8(f926(x101003,x101002),f926(f926(x101003,a913),x101002),x101001),f6(x101003,x101002)),f334(f7(x101003,x101001,x101002),x101004))),x101005)),x101006),f334(f334(f6(x101003,x101002),f334(f334(f7(x101003,f926(x101001,a913),x101002),f334(f334(f8(f926(x101001,x101002),f926(f926(x101001,a913),x101002),x101003),f6(x101001,x101002)),x101004)),x101006)),x101005))
% 164.74/165.09 [10398]~P107(f334(f334(f336(f925(x103981,x103982)),f334(f334(f266(x103981,x103982),x103985),x103986)),f334(f334(f123(f926(f925(x103981,x103982),a913)),x103983),x103984)))+P107(f334(f334(f334(f334(f123(f926(x103981,f926(x103982,a913))),f334(f334(f7(x103981,f926(f925(x103981,x103982),a913),f926(x103982,a913)),f334(f334(f8(f926(x103982,f926(f926(f925(x103981,x103982),a913),a913)),f926(f926(f925(x103981,x103982),a913),f926(x103982,a913)),x103981),f7(x103982,f926(f925(x103981,x103982),a913),a913)),f334(f334(f8(f926(x103982,f925(x103981,x103982)),f926(x103982,f926(f926(f925(x103981,x103982),a913),a913)),x103981),f334(f8(f925(x103981,x103982),f926(f926(f925(x103981,x103982),a913),a913),x103982),f336(f925(x103981,x103982)))),f266(x103981,x103982)))),x103983)),f334(f334(f7(x103981,f926(f925(x103981,x103982),a913),f926(x103982,a913)),f334(f334(f8(f926(x103982,f926(f926(f925(x103981,x103982),a913),a913)),f926(f926(f925(x103981,x103982),a913),f926(x103982,a913)),x103981),f7(x103982,f926(f925(x103981,x103982),a913),a913)),f334(f334(f8(f926(x103982,f925(x103981,x103982)),f926(x103982,f926(f926(f925(x103981,x103982),a913),a913)),x103981),f334(f8(f925(x103981,x103982),f926(f926(f925(x103981,x103982),a913),a913),x103982),f336(f925(x103981,x103982)))),f266(x103981,x103982)))),x103984)),x103985),x103986))
% 164.74/165.09 [10399]~P107(f334(f334(f336(f925(x103991,x103992)),f334(f334(f266(x103991,x103992),x103995),x103996)),f334(f334(f114(f926(f925(x103991,x103992),a913)),x103993),x103994)))+P107(f334(f334(f334(f334(f114(f926(x103991,f926(x103992,a913))),f334(f334(f7(x103991,f926(f925(x103991,x103992),a913),f926(x103992,a913)),f334(f334(f8(f926(x103992,f926(f926(f925(x103991,x103992),a913),a913)),f926(f926(f925(x103991,x103992),a913),f926(x103992,a913)),x103991),f7(x103992,f926(f925(x103991,x103992),a913),a913)),f334(f334(f8(f926(x103992,f925(x103991,x103992)),f926(x103992,f926(f926(f925(x103991,x103992),a913),a913)),x103991),f334(f8(f925(x103991,x103992),f926(f926(f925(x103991,x103992),a913),a913),x103992),f336(f925(x103991,x103992)))),f266(x103991,x103992)))),x103993)),f334(f334(f7(x103991,f926(f925(x103991,x103992),a913),f926(x103992,a913)),f334(f334(f8(f926(x103992,f926(f926(f925(x103991,x103992),a913),a913)),f926(f926(f925(x103991,x103992),a913),f926(x103992,a913)),x103991),f7(x103992,f926(f925(x103991,x103992),a913),a913)),f334(f334(f8(f926(x103992,f925(x103991,x103992)),f926(x103992,f926(f926(f925(x103991,x103992),a913),a913)),x103991),f334(f8(f925(x103991,x103992),f926(f926(f925(x103991,x103992),a913),a913),x103992),f336(f925(x103991,x103992)))),f266(x103991,x103992)))),x103994)),x103995),x103996))
% 164.74/165.09 [10405]P107(f334(f334(f336(f925(x104051,x104052)),f334(f334(f266(x104051,x104052),x104053),x104054)),f334(f334(f123(f926(f925(x104051,x104052),a913)),x104055),x104056)))+~P107(f334(f334(f334(f334(f123(f926(x104051,f926(x104052,a913))),f334(f334(f7(x104051,f926(f925(x104051,x104052),a913),f926(x104052,a913)),f334(f334(f8(f926(x104052,f926(f926(f925(x104051,x104052),a913),a913)),f926(f926(f925(x104051,x104052),a913),f926(x104052,a913)),x104051),f7(x104052,f926(f925(x104051,x104052),a913),a913)),f334(f334(f8(f926(x104052,f925(x104051,x104052)),f926(x104052,f926(f926(f925(x104051,x104052),a913),a913)),x104051),f334(f8(f925(x104051,x104052),f926(f926(f925(x104051,x104052),a913),a913),x104052),f336(f925(x104051,x104052)))),f266(x104051,x104052)))),x104055)),f334(f334(f7(x104051,f926(f925(x104051,x104052),a913),f926(x104052,a913)),f334(f334(f8(f926(x104052,f926(f926(f925(x104051,x104052),a913),a913)),f926(f926(f925(x104051,x104052),a913),f926(x104052,a913)),x104051),f7(x104052,f926(f925(x104051,x104052),a913),a913)),f334(f334(f8(f926(x104052,f925(x104051,x104052)),f926(x104052,f926(f926(f925(x104051,x104052),a913),a913)),x104051),f334(f8(f925(x104051,x104052),f926(f926(f925(x104051,x104052),a913),a913),x104052),f336(f925(x104051,x104052)))),f266(x104051,x104052)))),x104056)),x104053),x104054))
% 164.74/165.09 [10406]P107(f334(f334(f336(f925(x104061,x104062)),f334(f334(f266(x104061,x104062),x104063),x104064)),f334(f334(f114(f926(f925(x104061,x104062),a913)),x104065),x104066)))+~P107(f334(f334(f334(f334(f114(f926(x104061,f926(x104062,a913))),f334(f334(f7(x104061,f926(f925(x104061,x104062),a913),f926(x104062,a913)),f334(f334(f8(f926(x104062,f926(f926(f925(x104061,x104062),a913),a913)),f926(f926(f925(x104061,x104062),a913),f926(x104062,a913)),x104061),f7(x104062,f926(f925(x104061,x104062),a913),a913)),f334(f334(f8(f926(x104062,f925(x104061,x104062)),f926(x104062,f926(f926(f925(x104061,x104062),a913),a913)),x104061),f334(f8(f925(x104061,x104062),f926(f926(f925(x104061,x104062),a913),a913),x104062),f336(f925(x104061,x104062)))),f266(x104061,x104062)))),x104065)),f334(f334(f7(x104061,f926(f925(x104061,x104062),a913),f926(x104062,a913)),f334(f334(f8(f926(x104062,f926(f926(f925(x104061,x104062),a913),a913)),f926(f926(f925(x104061,x104062),a913),f926(x104062,a913)),x104061),f7(x104062,f926(f925(x104061,x104062),a913),a913)),f334(f334(f8(f926(x104062,f925(x104061,x104062)),f926(x104062,f926(f926(f925(x104061,x104062),a913),a913)),x104061),f334(f8(f925(x104061,x104062),f926(f926(f925(x104061,x104062),a913),a913),x104062),f336(f925(x104061,x104062)))),f266(x104061,x104062)))),x104066)),x104063),x104064))
% 164.74/165.09 [10394]~P107(f334(f334(f336(f925(x103942,x103943)),f334(f334(f266(x103942,x103943),x103945),x103946)),f334(f334(f48(x103941,f926(f925(x103942,x103943),a913)),f256(f926(x103941,a913))),x103944)))+P107(f334(f334(f334(f334(f48(x103941,f926(x103942,f926(x103943,a913))),f256(f926(x103941,a913))),f334(f334(f8(f926(f925(x103942,x103943),a913),f926(x103942,f926(x103943,a913)),x103941),f334(f7(x103942,f926(f925(x103942,x103943),a913),f926(x103943,a913)),f334(f334(f8(f926(x103943,f926(f926(f925(x103942,x103943),a913),a913)),f926(f926(f925(x103942,x103943),a913),f926(x103943,a913)),x103942),f7(x103943,f926(f925(x103942,x103943),a913),a913)),f334(f334(f8(f926(x103943,f925(x103942,x103943)),f926(x103943,f926(f926(f925(x103942,x103943),a913),a913)),x103942),f334(f8(f925(x103942,x103943),f926(f926(f925(x103942,x103943),a913),a913),x103943),f336(f925(x103942,x103943)))),f266(x103942,x103943))))),x103944)),x103945),x103946))
% 164.74/165.09 [10395]~P107(f334(f334(f336(f925(x103952,x103953)),f334(f334(f266(x103952,x103953),x103955),x103956)),f334(f334(f49(x103951,f926(f925(x103952,x103953),a913)),f256(f926(x103951,a913))),x103954)))+P107(f334(f334(f334(f334(f49(x103951,f926(x103952,f926(x103953,a913))),f256(f926(x103951,a913))),f334(f334(f8(f926(f925(x103952,x103953),a913),f926(x103952,f926(x103953,a913)),x103951),f334(f7(x103952,f926(f925(x103952,x103953),a913),f926(x103953,a913)),f334(f334(f8(f926(x103953,f926(f926(f925(x103952,x103953),a913),a913)),f926(f926(f925(x103952,x103953),a913),f926(x103953,a913)),x103952),f7(x103953,f926(f925(x103952,x103953),a913),a913)),f334(f334(f8(f926(x103953,f925(x103952,x103953)),f926(x103953,f926(f926(f925(x103952,x103953),a913),a913)),x103952),f334(f8(f925(x103952,x103953),f926(f926(f925(x103952,x103953),a913),a913),x103953),f336(f925(x103952,x103953)))),f266(x103952,x103953))))),x103954)),x103955),x103956))
% 164.74/165.09 [10402]P107(f334(f334(f336(f925(x104021,x104022)),f334(f334(f266(x104021,x104022),x104023),x104024)),f334(f334(f48(x104025,f926(f925(x104021,x104022),a913)),f256(f926(x104025,a913))),x104026)))+~P107(f334(f334(f334(f334(f48(x104025,f926(x104021,f926(x104022,a913))),f256(f926(x104025,a913))),f334(f334(f8(f926(f925(x104021,x104022),a913),f926(x104021,f926(x104022,a913)),x104025),f334(f7(x104021,f926(f925(x104021,x104022),a913),f926(x104022,a913)),f334(f334(f8(f926(x104022,f926(f926(f925(x104021,x104022),a913),a913)),f926(f926(f925(x104021,x104022),a913),f926(x104022,a913)),x104021),f7(x104022,f926(f925(x104021,x104022),a913),a913)),f334(f334(f8(f926(x104022,f925(x104021,x104022)),f926(x104022,f926(f926(f925(x104021,x104022),a913),a913)),x104021),f334(f8(f925(x104021,x104022),f926(f926(f925(x104021,x104022),a913),a913),x104022),f336(f925(x104021,x104022)))),f266(x104021,x104022))))),x104026)),x104023),x104024))
% 164.74/165.09 [10403]P107(f334(f334(f336(f925(x104031,x104032)),f334(f334(f266(x104031,x104032),x104033),x104034)),f334(f334(f49(x104035,f926(f925(x104031,x104032),a913)),f256(f926(x104035,a913))),x104036)))+~P107(f334(f334(f334(f334(f49(x104035,f926(x104031,f926(x104032,a913))),f256(f926(x104035,a913))),f334(f334(f8(f926(f925(x104031,x104032),a913),f926(x104031,f926(x104032,a913)),x104035),f334(f7(x104031,f926(f925(x104031,x104032),a913),f926(x104032,a913)),f334(f334(f8(f926(x104032,f926(f926(f925(x104031,x104032),a913),a913)),f926(f926(f925(x104031,x104032),a913),f926(x104032,a913)),x104031),f7(x104032,f926(f925(x104031,x104032),a913),a913)),f334(f334(f8(f926(x104032,f925(x104031,x104032)),f926(x104032,f926(f926(f925(x104031,x104032),a913),a913)),x104031),f334(f8(f925(x104031,x104032),f926(f926(f925(x104031,x104032),a913),a913),x104032),f336(f925(x104031,x104032)))),f266(x104031,x104032))))),x104036)),x104033),x104034))
% 164.74/165.09 [7569]E(f334(x75691,f334(x75692,x75693)),f334(x75694,x75693))+~E(f334(f81(x75695,x75696,x75697,x75691),x75692),x75694)
% 164.74/165.09 [9739]E(x97391,x97392)+E(f83(x97393,x97394,f83(x97393,x97394,x97395,x97391,x97396),x97392,x97397),f83(x97393,x97394,f83(x97393,x97394,x97395,x97392,x97397),x97391,x97396))
% 164.74/165.09 [9832]~P20(x98323,x98324,x98321,x98325,x98326,x98327)+E(f334(f334(x98321,x98322),x98322),x98322)
% 164.74/165.09 [6148]~E(f334(f334(f164(x61481,x61485),x61486),x61482),f334(f334(f164(x61483,x61485),x61487),x61484))+E(f334(f199(f920(x61481)),x61482),f334(f199(f920(x61483)),x61484))
% 164.74/165.09 [8607]E(f334(x86071,f334(x86072,x86073)),f334(x86074,x86073))+~E(f334(f81(x86075,x86076,x86077,x86071),x86072),f334(f81(x86076,x86076,x86077,f25(x86076)),x86074))
% 164.74/165.09 [8961]~P35(x89614,x89615,x89611,f334(f334(f161(x89614),x89612),x89616),f334(f334(f161(x89615),x89613),x89617))+P107(f334(f334(x89611,x89612),x89613))
% 164.74/165.09 [9352]P35(x93521,x93522,x93523,x93524,x93525)+~P35(x93521,x93522,x93523,f334(f334(f161(x93521),x93526),x93524),f334(f334(f161(x93522),x93527),x93525))
% 164.74/165.09 [9996]P107(f334(f334(x99961,x99962),f411(x99963,x99962,x99964,x99961)))+~P107(f334(f334(f267(x99965,x99966,x99967,x99961,x99964),x99962),x99963))
% 164.74/165.09 [10018]P107(f334(f334(x100181,f411(x100182,x100183,x100181,x100184)),x100182))+~P107(f334(f334(f267(x100185,x100186,x100187,x100184,x100181),x100183),x100182))
% 164.74/165.09 [6193]E(x61931,x61932)+~E(f334(f334(f334(f100(x61933),x61934),x61935),x61931),f334(f334(f334(f100(x61933),x61936),x61937),x61932))
% 164.74/165.09 [6194]E(x61941,x61942)+~E(f334(f334(f334(f100(x61943),x61944),x61941),x61945),f334(f334(f334(f100(x61943),x61946),x61942),x61947))
% 164.74/165.09 [6195]E(x61951,x61952)+~E(f334(f334(f334(f100(x61953),x61951),x61954),x61955),f334(f334(f334(f100(x61953),x61952),x61956),x61957))
% 164.74/165.09 [9085]~P18(x90856,x90851,x90853,x90857)+E(f334(f81(x90851,x90851,x90852,f334(x90853,x90854)),f334(f81(x90851,x90851,x90852,f334(x90853,x90854)),x90855)),f334(f81(x90851,x90851,x90852,f334(x90853,x90854)),x90855))
% 164.74/165.09 [9463]~P35(x94633,x94632,x94634,f334(f334(f164(x94631,x94633),x94635),x94636),x94637)+P35(x94631,x94632,f334(f334(f8(x94633,f926(x94632,a913),x94631),x94634),x94635),x94636,x94637)
% 164.74/165.09 [9489]P35(x94891,x94892,x94893,f334(f334(f164(x94894,x94891),x94895),x94896),x94897)+~P35(x94894,x94892,f334(f334(f8(x94891,f926(x94892,a913),x94894),x94893),x94895),x94896,x94897)
% 164.74/165.09 [9084]~P107(f334(f334(f336(x90841),x90842),f334(f334(x90845,x90846),x90847)))+P107(f334(f334(f336(x90841),x90842),f334(f334(f270(x90843,x90844,f926(x90841,a913)),x90845),f334(f334(f266(x90843,x90844),x90846),x90847))))
% 164.74/165.09 [9375]P107(f334(f334(f334(x93751,x93752),x93753),x93754))+~P107(f334(f334(f334(f270(x93755,x93756,f926(x93757,a913)),x93751),f334(f334(f266(x93755,x93756),x93752),x93753)),x93754))
% 164.74/165.09 [9528]P107(f334(f334(f336(x95281),f334(f334(x95282,x95283),x95284)),f334(f317(f925(x95285,x95286),x95281,f334(f270(x95285,x95286,x95281),x95282)),x95287)))+~P107(f334(f334(f336(f925(x95285,x95286)),f334(f334(f266(x95285,x95286),x95283),x95284)),x95287))
% 164.74/165.09 [9878]P107(f334(f334(f336(f925(f920(x98781),f920(x98781))),f334(f334(f266(f920(x98781),f920(x98781)),f334(f334(f144(x98781),x98782),f334(f334(f161(x98781),x98783),x98784))),f334(f334(f144(x98781),x98782),f334(f334(f161(x98781),x98785),x98786)))),f157(x98781,x98787)))+~P107(f334(f334(f336(f925(x98781,x98781)),f334(f334(f266(x98781,x98781),x98783),x98785)),x98787))
% 164.74/165.09 [9943]~P35(x99431,x99433,x99434,x99436,f334(f334(f164(x99432,x99433),x99435),x99437))+P35(x99431,x99432,f334(f334(f7(x99431,f926(x99432,x99433),f926(x99432,a913)),f334(f334(f8(f926(x99433,a913),f926(f926(x99432,x99433),f926(x99432,a913)),x99431),f8(x99433,a913,x99432)),x99434)),x99435),x99436,x99437)
% 164.74/165.09 [10022]P35(x100221,x100222,x100223,x100224,f334(f334(f164(x100225,x100222),x100226),x100227))+~P35(x100221,x100225,f334(f334(f7(x100221,f926(x100225,x100222),f926(x100225,a913)),f334(f334(f8(f926(x100222,a913),f926(f926(x100225,x100222),f926(x100225,a913)),x100221),f8(x100222,a913,x100225)),x100223)),x100226),x100224,x100227)
% 164.74/165.09 [10317]P107(f334(f334(f336(x103171),f693(x103172,x103173,x103174,x103175,x103176,x103177,x103171)),x103175))+P107(f334(f334(f334(f334(f49(x103171,f926(x103177,f926(x103176,a913))),x103175),x103174),x103173),x103172))
% 164.74/165.09 [10318]P107(f334(f334(f336(x103181),f844(x103182,x103183,x103184,x103185,x103186,x103187,x103181)),x103187))+P107(f334(f334(f334(f334(f49(x103181,f926(x103183,f926(x103182,a913))),x103187),x103186),x103185),x103184))
% 164.74/165.09 [10319]P107(f334(f334(f336(x103191),f905(x103192,x103193,x103194,x103195,x103196,x103197,x103191)),x103195))+~P107(f334(f334(f334(f334(f48(x103191,f926(x103197,f926(x103196,a913))),x103195),x103194),x103193),x103192))
% 164.74/165.09 [10320]P107(f334(f334(f336(x103201),f353(x103202,x103203,x103204,x103205,x103206,x103207,x103201)),x103205))+~P107(f334(f334(f334(f334(f48(x103201,f926(x103207,f926(x103206,a913))),x103205),x103204),x103203),x103202))
% 164.74/165.09 [10355]P107(f334(f334(f334(x103551,f905(x103552,x103553,x103551,x103554,x103555,x103556,x103557)),x103553),x103552))+~P107(f334(f334(f334(f334(f48(x103557,f926(x103556,f926(x103555,a913))),x103554),x103551),x103553),x103552))
% 164.74/165.09 [10356]P107(f334(f334(f334(x103561,f353(x103562,x103563,x103561,x103564,x103565,x103566,x103567)),x103563),x103562))+~P107(f334(f334(f334(f334(f48(x103567,f926(x103566,f926(x103565,a913))),x103564),x103561),x103563),x103562))
% 164.74/165.09 [10373]~P107(f334(f334(f334(x103735,f693(x103737,x103736,x103735,x103734,x103733,x103732,x103731)),x103736),x103737))+P107(f334(f334(f334(f334(f49(x103731,f926(x103732,f926(x103733,a913))),x103734),x103735),x103736),x103737))
% 164.74/165.09 [10374]~P107(f334(f334(f334(x103745,f844(x103743,x103742,x103747,x103746,x103745,x103744,x103741)),x103746),x103747))+P107(f334(f334(f334(f334(f49(x103741,f926(x103742,f926(x103743,a913))),x103744),x103745),x103746),x103747))
% 164.74/165.09 [10393]~P107(f334(f334(f336(f925(x103931,x103933)),f334(f334(f266(x103931,x103933),x103936),x103937)),f334(f334(f296(x103931,x103932,x103933),x103934),x103935)))+P107(f334(f334(f267(x103931,x103932,x103933,f334(f334(f7(x103931,f926(f925(x103931,x103932),a913),f926(x103932,a913)),f334(f334(f8(f926(x103932,f926(f926(f925(x103931,x103932),a913),a913)),f926(f926(f925(x103931,x103932),a913),f926(x103932,a913)),x103931),f7(x103932,f926(f925(x103931,x103932),a913),a913)),f334(f334(f8(f926(x103932,f925(x103931,x103932)),f926(x103932,f926(f926(f925(x103931,x103932),a913),a913)),x103931),f334(f8(f925(x103931,x103932),f926(f926(f925(x103931,x103932),a913),a913),x103932),f336(f925(x103931,x103932)))),f266(x103931,x103932)))),x103934),f334(f334(f7(x103932,f926(f925(x103932,x103933),a913),f926(x103933,a913)),f334(f334(f8(f926(x103933,f926(f926(f925(x103932,x103933),a913),a913)),f926(f926(f925(x103932,x103933),a913),f926(x103933,a913)),x103932),f7(x103933,f926(f925(x103932,x103933),a913),a913)),f334(f334(f8(f926(x103933,f925(x103932,x103933)),f926(x103933,f926(f926(f925(x103932,x103933),a913),a913)),x103932),f334(f8(f925(x103932,x103933),f926(f926(f925(x103932,x103933),a913),a913),x103933),f336(f925(x103932,x103933)))),f266(x103932,x103933)))),x103935)),x103936),x103937))
% 164.74/165.09 [10401]P107(f334(f334(f336(f925(x104011,x104012)),f334(f334(f266(x104011,x104012),x104013),x104014)),f334(f334(f296(x104011,x104015,x104012),x104016),x104017)))+~P107(f334(f334(f267(x104011,x104015,x104012,f334(f334(f7(x104011,f926(f925(x104011,x104015),a913),f926(x104015,a913)),f334(f334(f8(f926(x104015,f926(f926(f925(x104011,x104015),a913),a913)),f926(f926(f925(x104011,x104015),a913),f926(x104015,a913)),x104011),f7(x104015,f926(f925(x104011,x104015),a913),a913)),f334(f334(f8(f926(x104015,f925(x104011,x104015)),f926(x104015,f926(f926(f925(x104011,x104015),a913),a913)),x104011),f334(f8(f925(x104011,x104015),f926(f926(f925(x104011,x104015),a913),a913),x104015),f336(f925(x104011,x104015)))),f266(x104011,x104015)))),x104016),f334(f334(f7(x104015,f926(f925(x104015,x104012),a913),f926(x104012,a913)),f334(f334(f8(f926(x104012,f926(f926(f925(x104015,x104012),a913),a913)),f926(f926(f925(x104015,x104012),a913),f926(x104012,a913)),x104015),f7(x104012,f926(f925(x104015,x104012),a913),a913)),f334(f334(f8(f926(x104012,f925(x104015,x104012)),f926(x104012,f926(f926(f925(x104015,x104012),a913),a913)),x104015),f334(f8(f925(x104015,x104012),f926(f926(f925(x104015,x104012),a913),a913),x104012),f336(f925(x104015,x104012)))),f266(x104015,x104012)))),x104017)),x104013),x104014))
% 164.74/165.09 [10329]~P139(x103292)+E(f334(f334(f6(x103291,x103292),f334(f334(f7(x103291,f926(x103293,a913),x103292),f334(f334(f8(f926(x103293,x103292),f926(f926(x103293,a913),x103292),x103291),f6(x103293,x103292)),f334(f334(f7(x103291,f926(x103293,x103292),f926(x103293,x103292)),f334(f334(f8(f926(x103292,x103292),f926(f926(x103293,x103292),f926(x103293,x103292)),x103291),f8(x103292,x103292,x103293)),f334(f334(f8(x103292,f926(x103292,x103292),x103291),f90(x103292)),x103294))),x103295))),x103296)),x103297),f334(f334(f90(x103292),f334(f334(f6(x103291,x103292),x103294),x103297)),f334(f334(f6(x103293,x103292),x103295),x103296)))
% 164.74/165.09 [9412]~P17(x94127,x94121,x94123,x94128)+E(f334(f81(x94121,x94121,x94122,f334(x94123,x94124)),f334(f81(x94121,x94121,x94122,f334(x94123,x94125)),x94126)),f334(f81(x94121,x94121,x94122,f334(x94123,x94125)),f334(f81(x94121,x94121,x94122,f334(x94123,x94124)),x94126)))
% 164.74/165.09 [10389]P22(x103891,x103892,f334(f334(f316(f918(x103891)),f334(f334(f334(f100(x103891),f334(f334(f8(f926(a914,a913),f926(a914,a913),x103891),f334(f18(a914,a913,a913),f334(f334(f8(a913,f926(a913,a913),a914),a333),f334(a331,x103893)))),f334(f334(f7(x103891,f926(a914,a914),f926(a914,a913)),f334(f334(f8(f926(a914,a913),f926(f926(a914,a914),f926(a914,a913)),x103891),f8(a914,a913,a914)),x103894)),f334(f334(f18(a914,a919,a914),f334(f334(f7(a914,a917,f926(a919,a914)),a207),f36(x103895))),x103896)))),f30(x103895,x103896,x103897)),x103898)),f198(f926(f918(x103891),a913))))+~P22(x103891,x103892,f334(f334(f316(f918(x103891)),f334(f334(f334(f100(x103891),x103894),x103897),f334(f334(f7(x103891,f926(a914,a914),f926(a914,a913)),f334(f334(f8(f926(a914,a913),f926(f926(a914,a914),f926(a914,a913)),x103891),f8(a914,a913,a914)),x103898)),f334(f334(f7(a914,a919,a914),f334(f334(f7(a914,a917,f926(a919,a914)),a207),f36(x103895))),f208(x103893,x103895))))),f198(f926(f918(x103891),a913))))
% 164.74/165.09 [10396]E(f334(f334(f266(x103961,x103962),f334(x103963,f448(x103964,x103965,x103963,x103966,x103967,x103968,x103962,x103961))),f334(x103965,f449(x103964,x103965,x103963,x103966,x103967,x103968,x103962,x103961))),x103968)+~P107(f334(f334(f336(f925(x103961,x103962)),x103968),f334(f317(f925(x103967,x103966),f925(x103961,x103962),f271(x103967,x103961,x103966,x103962,x103963,x103965)),x103964)))
% 164.74/165.09 [10413]~P107(f334(f334(f336(f925(x104138,x104137)),x104136),f334(f317(f925(x104131,x104132),f925(x104138,x104137),f271(x104131,x104138,x104132,x104137,x104135,x104134)),x104133)))+P107(f334(f334(f336(f925(x104131,x104132)),f334(f334(f266(x104131,x104132),f448(x104133,x104134,x104135,x104132,x104131,x104136,x104137,x104138)),f449(x104133,x104134,x104135,x104132,x104131,x104136,x104137,x104138))),x104133))
% 164.74/165.09 [9868]P107(f334(f334(f336(f925(f925(x98681,x98682),f925(x98681,x98682))),f334(f334(f266(f925(x98681,x98682),f925(x98681,x98682)),f334(f334(f266(x98681,x98682),x98683),x98684)),f334(f334(f266(x98681,x98682),x98685),x98686))),f327(x98681,x98682,x98687,x98688)))+~P107(f334(f334(f336(f925(x98681,x98681)),f334(f334(f266(x98681,x98681),x98683),x98685)),x98687))
% 164.74/165.09 [10386]E(f334(f152(x103861,x103862,f334(f7(x103862,x103861,x103861),x103863),f334(x103864,x103865)),x103866),f334(x103864,f334(f152(x103867,x103862,f334(f7(x103862,x103867,x103867),x103868),x103865),x103866)))+P107(f334(f334(f336(x103862),f794(x103865,x103868,x103864,x103863,x103867,x103861,x103866,x103862)),f334(f182(x103862),x103866)))
% 164.74/165.09 [10404]~E(f334(f81(x104041,x104041,x104047,f334(x104043,f794(x104045,x104048,x104044,x104043,x104047,x104041,x104046,x104042))),x104044),f334(f81(x104047,x104041,x104047,x104044),f334(x104048,f794(x104045,x104048,x104044,x104043,x104047,x104041,x104046,x104042))))+E(f334(f152(x104041,x104042,f334(f7(x104042,x104041,x104041),x104043),f334(x104044,x104045)),x104046),f334(x104044,f334(f152(x104047,x104042,f334(f7(x104042,x104047,x104047),x104048),x104045),x104046)))
% 164.74/165.09 [8613]E(f334(x86131,f334(x86132,x86133)),f334(x86134,f334(x86135,x86133)))+~E(f334(f81(x86136,x86137,x86138,x86131),x86132),f334(f81(x86139,x86137,x86138,x86134),x86135))
% 164.74/165.09 [10251]P107(f334(f334(f336(f925(x102511,x102512)),f334(f334(f266(x102511,x102512),f334(x102513,x102514)),f334(x102515,x102516))),f334(f317(f925(x102517,x102518),f925(x102511,x102512),f271(x102517,x102511,x102518,x102512,x102513,x102515)),x102519)))+~P107(f334(f334(f336(f925(x102517,x102518)),f334(f334(f266(x102517,x102518),x102514),x102516)),x102519))
% 164.74/165.09 [8908]~E(f334(x89084,f334(x89085,x89086)),f334(x89089,f334(x890810,x890811)))+E(f334(f334(f81(x89081,x89082,x89083,x89084),x89085),x89086),f334(f334(f81(x89087,x89082,x89088,x89089),x890810),x890811))
% 164.74/165.09 [4755]~P110(x47551)+~P103(x47551)+E(f114(x47551),f246(x47551))
% 164.74/165.09 [4756]~P110(x47561)+~P102(x47561)+E(f123(x47561),f247(x47561))
% 164.74/165.09 [4995]~P122(x49951)+~P97(x49951)+E(f334(f84(x49951),f334(f116(x49951),a110)),f87(x49951))
% 164.74/165.09 [5270]E(x52701,f2(a1))+E(f91(a1,x52701),f334(f88(a1),f87(a1)))+P107(f334(f334(f249(a1),f2(a1)),x52701))
% 164.74/165.09 [5483]E(x54831,f2(a1))+E(f91(a1,x54831),f87(a1))+~P107(f334(f334(f249(a1),f2(a1)),x54831))
% 164.74/165.09 [7467]~P40(x74671)+P107(f334(f70(a1),x74671))+~P107(f334(f70(a919),f334(f317(a1,a919,a117),x74671)))
% 164.74/165.09 [8719]~P9(a5000)+~P107(f334(f334(f336(f925(a916,a915)),x87191),f334(f182(f925(a916,a915)),a29)))+P107(f334(f334(f270(a916,a915,a913),f334(f16(f926(a915,a913),a916),a27)),x87191))
% 164.74/165.09 [9831]E(x98311,f198(f926(f925(a919,a919),a913)))+~P107(f334(f70(f925(a919,a919)),x98311))+P107(f334(f334(f336(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),f334(f334(f266(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),f198(f926(f925(a919,a919),a913))),x98311)),a43))
% 164.74/165.09 [9997]E(x99971,f2(a919))+E(x99971,f334(a125,f2(a919)))+~P107(f334(f334(f249(a919),x99971),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))
% 164.74/165.09 [10280]E(x102801,f2(a112))+E(f334(f334(f89(a1),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f334(a22,f334(f334(f45(a112),x102801),f334(f116(a112),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))))),f87(a1)),f334(a22,x102801))+E(f54(a112,x102801,f334(f116(a112),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f2(a112))
% 164.74/165.09 [10130]E(x101301,f2(a112))+~E(f54(a112,x101301,f334(f116(a112),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f2(a112))+E(f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f334(a22,f334(f334(f45(a112),x101301),f334(f116(a112),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))),f334(a22,x101301))
% 164.74/165.09 [4828]~P57(x48281,x48282)+P46(x48281,x48282)+~P47(a913)
% 164.74/165.09 [4765]~P146(x47651)+P27(x47651,x47652)+~E(x47652,f2(x47651))
% 164.74/165.09 [4766]~P110(x47661)+P12(x47661,x47662)+~E(x47662,f126(x47661))
% 164.74/165.09 [4775]~P122(x47751)+~E(x47752,f2(x47751))+E(f91(x47751,x47752),f2(x47751))
% 164.74/165.09 [4776]~P93(x47761)+~E(x47762,f2(x47761))+E(f91(x47761,x47762),f2(x47761))
% 164.74/165.09 [4784]~P146(x47842)+~P27(x47842,x47841)+E(x47841,f2(x47842))
% 164.74/165.09 [4821]~P122(x48212)+~E(f91(x48212,x48211),f2(x48212))+E(x48211,f2(x48212))
% 164.74/165.09 [4835]~P2(x48352)+~P2(x48351)+P2(f926(x48351,x48352))
% 164.74/165.09 [4836]~P2(x48362)+~P2(x48361)+P2(f925(x48361,x48362))
% 164.74/165.09 [4837]~P2(x48372)+~P2(x48371)+P2(f927(x48371,x48372))
% 164.74/165.09 [4838]~P64(x48382)+~P64(x48381)+P64(f926(x48381,x48382))
% 164.74/165.09 [4839]~P64(x48392)+~P64(x48391)+P64(f925(x48391,x48392))
% 164.74/165.09 [4840]~P64(x48402)+~P64(x48401)+P64(f927(x48401,x48402))
% 164.74/165.09 [4841]~P4(x48412)+~P4(x48411)+P4(f205(x48411,x48412))
% 164.74/165.09 [4842]~P105(x48422)+~P105(x48421)+P105(f925(x48421,x48422))
% 164.74/165.09 [4966]~P110(x49661)+~P12(x49661,x49662)+P12(x49661,f162(x49661,x49662))
% 164.74/165.09 [5201]~P4(x52012)+~P4(x52011)+P4(f54(a1,x52011,x52012))
% 164.74/165.09 [4786]~P78(x47861)+~E(x47862,f2(x47861))+E(f334(f88(x47861),x47862),x47862)
% 164.74/165.09 [4793]~P142(x47931)+~E(x47932,f2(a1))+E(f334(f115(x47931),x47932),f2(x47931))
% 164.74/165.09 [4794]~P96(x47941)+~E(x47942,f2(a1))+E(f334(f115(x47941),x47942),f2(x47941))
% 164.74/165.09 [4818]~P71(x48181)+~E(f2(x48181),x48182)+E(f334(f88(x48181),x48182),f2(x48181))
% 164.74/165.09 [4819]~P71(x48191)+~E(x48192,f2(x48191))+E(f334(f88(x48191),x48192),f2(x48191))
% 164.74/165.09 [4820]~P91(x48201)+~E(x48202,f2(x48201))+E(f334(f84(x48201),x48202),f2(x48201))
% 164.74/165.09 [4844]~P78(x48442)+E(x48441,f2(x48442))+~E(f334(f88(x48442),x48441),x48441)
% 164.74/165.09 [4852]E(x48521,f334(a117,x48522))+~E(x48521,f2(a919))+~E(x48522,f334(f113(a1),x48521))
% 164.74/165.09 [4853]E(f334(a117,x48531),x48532)+~E(x48532,f2(a919))+~E(x48531,f334(f113(a1),x48532))
% 164.74/165.09 [4857]~P96(x48572)+E(x48571,f2(a1))+~E(f334(f115(x48572),x48571),f2(x48572))
% 164.74/165.09 [4861]~P71(x48612)+E(x48611,f2(x48612))+~E(f334(f88(x48612),x48611),f2(x48612))
% 164.74/165.09 [4862]~P91(x48622)+E(x48621,f2(x48622))+~E(f334(f84(x48622),x48621),f2(x48622))
% 164.74/165.09 [4863]~P71(x48631)+E(f2(x48631),x48632)+~E(f334(f88(x48631),x48632),f2(x48631))
% 164.74/165.09 [5041]~P110(x50411)+~P12(x50411,x50412)+P12(x50411,f334(f181(x50411),x50412))
% 164.74/165.09 [5066]~P107(x50662)+~P107(x50661)+P107(f334(f334(a333,x50661),x50662))
% 164.74/165.09 [5100]~E(f87(a919),f2(a919))+E(f334(f44(x51001),x51002),f2(a919))+~P107(f334(f70(x51001),x51002))
% 164.74/165.09 [5132]~P139(x51321)+~P118(x51321)+E(f334(f334(f258(x51321),f2(x51321)),f334(a125,x51322)),f2(x51321))
% 164.74/165.09 [5169]~P110(x51691)+P12(x51691,f149(x51691,x51692))+~P107(f334(f70(x51691),x51692))
% 164.74/165.09 [5170]~P110(x51701)+P12(x51701,f786(x51702,x51701))+~P107(f334(f70(x51701),x51702))
% 164.74/165.09 [5191]~P110(x51911)+E(f334(f182(x51911),f149(x51911,x51912)),x51912)+~P107(f334(f70(x51911),x51912))
% 164.74/165.09 [5192]~P110(x51921)+E(f334(f182(x51921),f786(x51922,x51921)),x51922)+~P107(f334(f70(x51921),x51922))
% 164.74/165.09 [5222]P107(x52221)+P107(x52222)+~P107(f334(f334(a332,x52222),x52221))
% 164.74/165.09 [5235]E(x52351,f198(f926(x52352,a913)))+~E(f334(f44(x52352),x52351),f2(a919))+~P107(f334(f70(x52352),x52351))
% 164.74/165.09 [5240]P107(x52401)+~P107(x52402)+~P107(f334(f334(a337,x52402),x52401))
% 164.74/165.09 [5288]~P75(x52881)+E(f334(f84(x52881),x52882),x52882)+P107(f334(f334(f249(x52881),x52882),f2(x52881)))
% 164.74/165.09 [5356]~P2(x53562)+~P107(f334(f65(x53562),x53561))+P107(f334(x53561,f851(x53561,x53562)))
% 164.74/165.09 [5357]~P2(x53572)+~P107(f334(f65(x53572),x53571))+P107(f334(x53571,f866(x53571,x53572)))
% 164.74/165.09 [5389]~P107(f334(a27,x53892))+~P107(f334(a27,x53891))+P107(f334(a27,f34(x53891,x53892)))
% 164.74/165.09 [5397]E(x53971,f126(x53972))+P107(f334(f147(x53972),f127(x53972,x53971)))+~P107(f334(f147(x53972),x53971))
% 164.74/165.09 [5402]~P110(x54021)+~P107(f334(f70(x54021),x54022))+P107(f334(f147(x54021),f149(x54021,x54022)))
% 164.74/165.09 [5403]~P110(x54031)+~P107(f334(f70(x54031),x54032))+P107(f334(f147(x54031),f786(x54032,x54031)))
% 164.74/165.09 [5408]~P142(x54081)+E(f334(f113(x54081),f334(a117,x54082)),f334(f115(x54081),x54082))+P107(f334(f334(f249(a1),x54082),f2(a1)))
% 164.74/165.09 [5435]P5(x54352,x54351)+E(f334(x54351,f881(x54351)),f334(x54351,f906(x54351)))+P107(f334(f334(x54351,f881(x54351)),f906(x54351)))
% 164.74/165.09 [5448]E(f334(f113(a1),f492(x54481,x54482)),x54481)+P107(f334(x54482,f334(a117,x54481)))+~P107(f334(x54482,f2(a919)))
% 164.74/165.09 [5460]~P2(x54601)+~P107(f334(x54602,f734(x54602,x54601)))+P107(f334(f66(x54601),x54602))
% 164.74/165.09 [5461]~P2(x54611)+~P107(f334(x54612,f748(x54612,x54611)))+P107(f334(f66(x54611),x54612))
% 164.74/165.09 [5491]~P122(x54911)+~E(f91(x54911,x54912),f334(f88(x54911),f87(x54911)))+P107(f334(f334(f249(x54911),x54912),f2(x54911)))
% 164.74/165.09 [5564]~E(x55642,f2(a1))+E(f229(x55641,x55642),f334(f334(f266(a1,a1),f2(a1)),f87(a1)))+P107(f334(f334(f249(a1),x55642),f2(a1)))
% 164.74/165.09 [5565]~E(x55651,f2(a1))+E(f229(x55651,x55652),f334(f334(f266(a1,a1),f2(a1)),f87(a1)))+P107(f334(f334(f249(a1),x55652),f2(a1)))
% 164.74/165.09 [5614]E(f334(f113(a1),f492(x56141,x56142)),x56141)+P107(f334(x56142,f334(a117,x56141)))+P107(f334(f334(f249(a1),x56141),f2(a1)))
% 164.74/165.09 [5677]~P122(x56771)+E(f91(x56771,x56772),f334(f88(x56771),f87(x56771)))+~P107(f334(f334(f249(x56771),x56772),f2(x56771)))
% 164.74/165.09 [5678]~P91(x56781)+E(f334(f84(x56781),x56782),f334(f88(x56781),x56782))+~P107(f334(f334(f248(x56781),x56782),f2(x56781)))
% 164.74/165.09 [5679]~P91(x56791)+E(f334(f84(x56791),x56792),f334(f88(x56791),x56792))+~P107(f334(f334(f249(x56791),x56792),f2(x56791)))
% 164.74/165.09 [5680]~P75(x56801)+E(f334(f84(x56801),x56802),f334(f88(x56801),x56802))+~P107(f334(f334(f249(x56801),x56802),f2(x56801)))
% 164.74/165.09 [5777]~P107(f334(x57771,f492(x57772,x57771)))+P107(f334(x57771,f334(a117,x57772)))+~P107(f334(x57771,f2(a919)))
% 164.74/165.09 [5784]E(x57841,f2(a919))+E(f334(a125,f456(x57842,x57841)),x57841)+~P107(f334(f334(f249(a919),x57841),f334(a125,x57842)))
% 164.74/165.09 [5788]P5(x57881,x57882)+~E(f334(x57882,f881(x57882)),f334(x57882,f906(x57882)))+~P107(f334(f334(x57882,f881(x57882)),f906(x57882)))
% 164.74/165.09 [5806]~P110(x58061)+P12(x58061,x58062)+P107(f334(f334(f248(a919),f768(x58062,x58061)),f769(x58062,x58061)))
% 164.74/165.09 [5807]~P110(x58071)+P12(x58071,x58072)+P107(f334(f334(f248(a919),f776(x58072,x58071)),f780(x58072,x58071)))
% 164.74/165.09 [5895]~P91(x58951)+~E(x58952,f2(x58951))+P107(f334(f334(f248(x58951),f334(f84(x58951),x58952)),f2(x58951)))
% 164.74/165.09 [5979]~P107(f334(x59791,f492(x59792,x59791)))+P107(f334(x59791,f334(a117,x59792)))+P107(f334(f334(f249(a1),x59792),f2(a1)))
% 164.74/165.09 [6003]~P107(f334(x60031,f334(a117,x60032)))+P107(f334(x60031,f2(a919)))+~P107(f334(f334(f249(a1),x60032),f2(a1)))
% 164.74/165.09 [6348]~P122(x63481)+~P107(f334(f334(f249(x63481),x63482),f2(x63481)))+P107(f334(f334(f249(x63481),f91(x63481,x63482)),f2(x63481)))
% 164.74/165.09 [6459]~P122(x64591)+P107(f334(f334(f248(x64591),f334(f115(x64591),x64592)),f2(x64591)))+~P107(f334(f334(f248(a1),x64592),f2(a1)))
% 164.74/165.09 [6460]~P122(x64601)+P107(f334(f334(f249(x64601),f334(f115(x64601),x64602)),f2(x64601)))+~P107(f334(f334(f249(a1),x64602),f2(a1)))
% 164.74/165.09 [6468]~P91(x64682)+E(x64681,f2(x64682))+~P107(f334(f334(f248(x64682),f334(f84(x64682),x64681)),f2(x64682)))
% 164.74/165.09 [6544]~P142(x65441)+~P107(f334(f334(f336(x65441),x65442),f122(x65441)))+P107(f334(f334(f336(x65441),f334(f88(x65441),x65442)),f122(x65441)))
% 164.74/165.09 [6577]~P122(x65771)+~P107(f334(f334(f249(x65771),f91(x65771,x65772)),f2(x65771)))+P107(f334(f334(f249(x65771),x65772),f2(x65771)))
% 164.74/165.09 [6750]~P122(x67502)+~P107(f334(f334(f248(x67502),f334(f115(x67502),x67501)),f2(x67502)))+P107(f334(f334(f248(a1),x67501),f2(a1)))
% 164.74/165.09 [6751]~P122(x67512)+~P107(f334(f334(f249(x67512),f334(f115(x67512),x67511)),f2(x67512)))+P107(f334(f334(f249(a1),x67511),f2(a1)))
% 164.74/165.09 [7247]~P78(x72471)+~P107(f334(f334(f248(x72471),x72472),f2(x72471)))+P107(f334(f334(f248(x72471),f334(f334(f89(x72471),x72472),x72472)),f2(x72471)))
% 164.74/165.09 [7248]~P122(x72481)+~P107(f334(f334(f249(x72481),x72482),f2(x72481)))+P107(f334(f334(f249(x72481),f334(f334(f89(x72481),x72482),x72482)),f2(x72481)))
% 164.74/165.09 [7249]~P78(x72491)+~P107(f334(f334(f249(x72491),x72492),f2(x72491)))+P107(f334(f334(f249(x72491),f334(f334(f89(x72491),x72492),x72492)),f2(x72491)))
% 164.74/165.09 [7811]~P78(x78111)+~P107(f334(f334(f248(x78111),f334(f334(f89(x78111),x78112),x78112)),f2(x78111)))+P107(f334(f334(f248(x78111),x78112),f2(x78111)))
% 164.74/165.09 [7812]~P122(x78121)+~P107(f334(f334(f249(x78121),f334(f334(f89(x78121),x78122),x78122)),f2(x78121)))+P107(f334(f334(f249(x78121),x78122),f2(x78121)))
% 164.74/165.09 [7813]~P78(x78131)+~P107(f334(f334(f249(x78131),f334(f334(f89(x78131),x78132),x78132)),f2(x78131)))+P107(f334(f334(f249(x78131),x78132),f2(x78131)))
% 164.74/165.09 [4897]~E(x48972,f87(a919))+~E(x48971,f87(a919))+E(f334(f334(f90(a919),x48971),x48972),f87(a919))
% 164.74/165.09 [4898]~E(x48982,f87(a1))+~E(x48981,f87(a1))+E(f334(f334(f90(a1),x48981),x48982),f87(a1))
% 164.74/165.09 [4899]~E(x48992,f2(a919))+~E(x48991,f2(a919))+E(f334(f334(f89(a919),x48991),x48992),f2(a919))
% 164.74/165.09 [4951]~P60(x49512)+E(x49511,f2(x49512))+E(f334(f334(f45(x49512),x49511),x49511),f87(x49512))
% 164.74/165.09 [4952]~P120(x49522)+E(x49521,f2(x49522))+E(f334(f334(f297(x49522),x49521),x49521),f87(x49522))
% 164.74/165.09 [4953]~P121(x49532)+E(x49531,f2(x49532))+E(f334(f334(f297(x49532),x49531),x49531),f87(x49532))
% 164.74/165.09 [4973]~P141(x49731)+~E(x49732,f87(x49731))+E(f334(f334(f90(x49731),x49732),x49732),f87(x49731))
% 164.74/165.09 [4974]~P78(x49741)+~E(x49742,f2(x49741))+E(f334(f334(f89(x49741),x49742),x49742),f2(x49741))
% 164.74/165.09 [4975]~P121(x49751)+~E(x49752,f2(x49751))+E(f334(f334(f297(x49751),x49752),x49752),f2(x49751))
% 164.74/165.09 [5020]~E(x50202,f2(a919))+~E(x50201,f2(a919))+E(f334(f88(a1),f334(f113(a1),x50201)),f334(f113(a1),x50202))
% 164.74/165.09 [5038]E(x50381,f87(a919))+E(x50382,f2(a919))+~E(f334(f334(f90(a919),x50382),x50381),x50382)
% 164.74/165.09 [5048]E(x50481,f2(a919))+E(x50482,f2(a919))+~E(f334(f334(f90(a919),x50482),x50481),f2(a919))
% 164.74/165.09 [5075]~E(x50752,f2(a919))+~E(x50751,f334(a125,f2(a919)))+E(f334(f334(f89(a919),x50751),x50752),f334(a125,f2(a919)))
% 164.74/165.09 [5076]~E(x50761,f2(a919))+~E(x50762,f334(a125,f2(a919)))+E(f334(f334(f89(a919),x50761),x50762),f334(a125,f2(a919)))
% 164.74/165.09 [5083]E(x50831,f87(a1))+E(x50832,f334(f116(a1),a110))+~E(f334(f334(f90(a1),x50831),x50832),f87(a1))
% 164.74/165.09 [5084]E(x50841,f87(a1))+E(x50842,f334(f116(a1),a110))+~E(f334(f334(f90(a1),x50842),x50841),f87(a1))
% 164.74/165.09 [5085]E(x50851,f87(a1))+E(x50851,f334(f116(a1),a110))+~E(f334(f334(f90(a1),x50852),x50851),f87(a1))
% 164.74/165.09 [5087]E(x50871,f87(a1))+E(x50871,f334(f116(a1),a110))+~E(f334(f334(f90(a1),x50871),x50872),f87(a1))
% 164.74/165.09 [5104]~P78(x51042)+E(x51041,f2(x51042))+~E(f334(f334(f89(x51042),x51041),x51041),f2(x51042))
% 164.74/165.09 [5110]~E(x51101,f334(f116(a1),a110))+~E(x51102,f334(f116(a1),a110))+E(f334(f334(f90(a1),x51101),x51102),f87(a1))
% 164.74/165.09 [5121]E(x51211,f2(a919))+E(x51212,f2(a919))+~E(f334(f334(f89(a919),x51212),x51211),f334(a125,f2(a919)))
% 164.74/165.09 [5131]~P97(x51311)+~P65(x51311)+E(f334(f334(f297(x51311),x51312),f334(f116(x51311),a92)),f2(x51311))
% 164.74/165.09 [5137]~P141(x51371)+~E(x51372,f334(f88(x51371),f87(x51371)))+E(f334(f334(f90(x51371),x51372),x51372),f87(x51371))
% 164.74/165.09 [5142]~P4(x51422)+~P4(x51421)+P4(f334(f334(f90(a1),x51421),x51422))
% 164.74/165.09 [5143]~P4(x51432)+~P4(x51431)+P4(f334(f334(f89(a1),x51431),x51432))
% 164.74/165.09 [5144]~P4(x51442)+~P4(x51441)+P4(f334(f334(f45(a1),x51441),x51442))
% 164.74/165.09 [5146]~E(x51462,f2(a1))+E(x51461,f2(a1))+E(f55(x51461,x51462),f334(f334(f266(a1,a1),f2(a1)),x51461))
% 164.74/165.09 [5167]~E(x51672,f334(a125,f2(a919)))+~E(x51671,f334(a125,f2(a919)))+E(f334(f334(f90(a919),x51671),x51672),f334(a125,f2(a919)))
% 164.74/165.09 [5182]E(x51821,f2(a919))+E(x51822,f334(a125,f2(a919)))+~E(f334(f334(f258(a919),x51822),x51821),f334(a125,f2(a919)))
% 164.74/165.09 [5183]E(x51831,f2(a919))+E(x51831,f334(a125,f2(a919)))+~E(f334(f334(f89(a919),x51832),x51831),f334(a125,f2(a919)))
% 164.74/165.09 [5184]E(x51841,f2(a919))+E(x51841,f334(a125,f2(a919)))+~E(f334(f334(f89(a919),x51841),x51842),f334(a125,f2(a919)))
% 164.74/165.09 [5193]~P97(x51931)+~P65(x51931)+E(f334(f334(f297(x51931),x51932),f334(f116(x51931),a110)),f334(f88(x51931),x51932))
% 164.74/165.09 [5214]E(x52141,f334(a117,x52142))+~E(x52141,f2(a919))+P107(f334(f334(f248(a1),f2(a1)),x52142))
% 164.74/165.09 [5215]E(f334(a117,x52151),x52152)+~E(x52152,f2(a919))+P107(f334(f334(f248(a1),f2(a1)),x52151))
% 164.74/165.09 [5231]E(x52311,f334(a125,f2(a919)))+E(x52312,f334(a125,f2(a919)))+~E(f334(f334(f89(a919),x52311),x52312),f334(a125,f2(a919)))
% 164.74/165.09 [5242]~E(x52421,f334(a117,x52422))+E(x52421,f2(a919))+P107(f334(f334(f248(a1),f2(a1)),x52422))
% 164.74/165.09 [5243]~E(f334(a117,x52432),x52431)+E(x52431,f2(a919))+P107(f334(f334(f248(a1),f2(a1)),x52432))
% 164.74/165.09 [5265]~P83(x52651)+E(f334(f72(x52651,f123(x52651)),x52652),f10(x52651,x52652))+~P107(f334(f70(x52651),x52652))
% 164.74/165.09 [5266]~P83(x52661)+E(f334(f72(x52661,f114(x52661)),x52662),f11(x52661,x52662))+~P107(f334(f70(x52661),x52662))
% 164.74/165.09 [5267]~P110(x52671)+E(f334(f72(x52671,f246(x52671)),x52672),f14(x52671,x52672))+~P107(f334(f70(x52671),x52672))
% 164.74/165.09 [5268]~P110(x52681)+E(f334(f72(x52681,f247(x52681)),x52682),f15(x52681,x52682))+~P107(f334(f70(x52681),x52682))
% 164.74/165.09 [5351]E(x53511,x53512)+~E(f334(f334(f23(a919),x53512),x53511),f2(a919))+~E(f334(f334(f23(a919),x53511),x53512),f2(a919))
% 164.74/165.09 [5367]P4(x53671)+~P40(x53672)+~P107(f334(f334(f336(a1),x53671),x53672))
% 164.74/165.09 [5398]~P122(x53981)+~E(f91(x53981,x53982),f87(x53981))+P107(f334(f334(f249(x53981),f2(x53981)),x53982))
% 164.74/165.09 [5409]~P97(x54091)+E(f334(f113(x54091),f334(f116(a919),x54092)),f334(f116(x54091),x54092))+P107(f334(a203,f334(f116(a1),x54092)))
% 164.74/165.09 [5414]~P46(x54141,x54142)+P47(a913)+P107(f334(f70(f925(x54141,x54141)),x54142))
% 164.74/165.09 [5485]~P110(x54851)+E(f334(f72(x54851,f246(x54851)),x54852),f12(x54851,f246(x54851),x54852))+~P107(f334(f70(x54851),x54852))
% 164.74/165.09 [5486]~P110(x54861)+E(f334(f72(x54861,f247(x54861)),x54862),f13(x54861,f247(x54861),x54862))+~P107(f334(f70(x54861),x54862))
% 164.74/165.09 [5498]E(x54981,x54982)+P107(f334(f334(f249(a919),x54982),x54981))+P107(f334(f334(f249(a919),x54981),x54982))
% 164.74/165.09 [5499]E(x54991,x54992)+P107(f334(f334(f249(a1),x54992),x54991))+P107(f334(f334(f249(a1),x54991),x54992))
% 164.74/165.09 [5551]~P97(x55511)+E(f334(f113(x55511),f334(f116(a919),x55512)),f2(x55511))+~P107(f334(a203,f334(f116(a1),x55512)))
% 164.74/165.09 [5554]~E(x55542,f334(a117,x55541))+E(x55541,f334(f113(a1),x55542))+~P107(f334(f334(f248(a1),f2(a1)),x55541))
% 164.74/165.09 [5555]~E(f334(a117,x55551),x55552)+E(x55551,f334(f113(a1),x55552))+~P107(f334(f334(f248(a1),f2(a1)),x55551))
% 164.74/165.09 [5556]~E(x55561,f334(a117,x55562))+E(f334(f113(a1),x55561),x55562)+~P107(f334(f334(f248(a1),f2(a1)),x55562))
% 164.74/165.09 [5566]E(x55661,f334(a117,x55662))+~E(x55662,f334(f113(a1),x55661))+~P107(f334(f334(f248(a1),f2(a1)),x55662))
% 164.74/165.09 [5567]E(f334(a117,x55671),x55672)+~E(x55671,f334(f113(a1),x55672))+~P107(f334(f334(f248(a1),f2(a1)),x55671))
% 164.74/165.09 [5605]~P91(x56052)+E(x56051,f2(x56052))+P107(f334(f334(f249(x56052),f2(x56052)),f334(f84(x56052),x56051)))
% 164.74/165.09 [5670]~P122(x56701)+E(f91(x56701,x56702),f87(x56701))+~P107(f334(f334(f249(x56701),f2(x56701)),x56702))
% 164.74/165.09 [5674]~P97(x56741)+E(f334(f113(x56741),f334(f116(a919),x56742)),f2(x56741))+P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),x56742)))
% 164.74/165.09 [5681]~P91(x56811)+E(f334(f84(x56811),x56812),x56812)+~P107(f334(f334(f248(x56811),f2(x56811)),x56812))
% 164.74/165.09 [5682]~P91(x56821)+E(f334(f84(x56821),x56822),x56822)+~P107(f334(f334(f249(x56821),f2(x56821)),x56822))
% 164.74/165.09 [5691]E(x56911,f2(a919))+~E(f149(a919,f334(f309(a919,x56912),x56911)),f126(a919))+P107(f334(f334(f248(a919),x56911),x56912))
% 164.74/165.09 [5701]~P72(x57011)+E(f334(f334(f6(x57011,x57011),f5(x57011)),f334(f182(x57011),x57012)),f334(f175(x57011),x57012))+~P107(f334(f147(x57011),x57012))
% 164.74/165.09 [5704]~P142(x57041)+E(f334(f113(x57041),f334(a117,x57042)),f334(f115(x57041),x57042))+~P107(f334(f334(f248(a1),f2(a1)),x57042))
% 164.74/165.09 [5731]E(x57311,x57312)+P107(f334(f334(f249(a919),x57311),x57312))+~P107(f334(f334(f248(a919),x57311),x57312))
% 164.74/165.09 [5732]E(x57321,x57322)+P107(f334(f334(f249(a1),x57321),x57322))+~P107(f334(f334(f248(a1),x57321),x57322))
% 164.74/165.09 [5735]E(x57351,f87(a1))+~E(f334(f334(f90(a1),x57352),x57351),f87(a1))+~P107(f334(f334(f249(a1),f2(a1)),x57352))
% 164.74/165.09 [5736]E(x57361,f87(a1))+~E(f334(f334(f90(a1),x57361),x57362),f87(a1))+~P107(f334(f334(f249(a1),f2(a1)),x57361))
% 164.74/165.09 [5774]~P40(x57742)+P107(f334(f334(f248(a1),f2(a1)),x57741))+~P107(f334(f334(f336(a1),x57741),x57742))
% 164.74/165.09 [5793]~P57(x57931,x57932)+P38(x57931,x57932)+~P107(f334(f70(f925(x57931,x57931)),x57932))
% 164.74/165.09 [5795]~P57(x57951,x57952)+P46(x57951,x57952)+~P107(f334(f70(f925(x57951,x57951)),x57952))
% 164.74/165.09 [5837]E(x58371,f198(f926(x58372,a913)))+~P107(f334(f70(x58372),x58371))+P107(f334(f334(f249(a919),f2(a919)),f334(f44(x58372),x58371)))
% 164.74/165.09 [5864]~P107(f334(x58641,x58642))+P107(f334(x58641,f2(a919)))+P107(f334(f334(f249(a919),f593(x58642,x58641)),x58642))
% 164.74/165.09 [5889]E(x58891,f2(a919))+~E(f334(f175(a919),x58892),f2(a919))+~P107(f334(f334(f336(a919),x58891),f334(f182(a919),x58892)))
% 164.74/165.09 [5955]E(x59551,x59552)+~P107(f334(f334(f248(a919),x59552),x59551))+~P107(f334(f334(f248(a919),x59551),x59552))
% 164.74/165.09 [5956]E(x59561,x59562)+~P107(f334(f334(f248(a1),x59562),x59561))+~P107(f334(f334(f248(a1),x59561),x59562))
% 164.74/165.09 [5958]E(f334(f44(x59581),x59582),f2(a919))+~P107(f334(f70(x59581),x59582))+P107(f334(f334(f336(x59581),f641(x59582,x59581)),x59582))
% 164.74/165.09 [5967]E(f59(x59671,x59672),f55(x59671,x59672))+P107(f334(f334(f248(a1),f2(a1)),x59671))+~P107(f334(f334(f249(a1),f2(a1)),x59672))
% 164.74/165.09 [5992]~P107(f334(x59921,f491(x59921)))+P107(f334(x59921,f334(a117,x59922)))+~P107(f334(f334(f248(a1),f2(a1)),x59922))
% 164.74/165.09 [5994]P107(f334(f334(f248(a919),x59941),f397(x59942)))+~P107(f334(f70(a919),x59942))+~P107(f334(f334(f336(a919),x59941),x59942))
% 164.74/165.09 [5995]P107(f334(f334(f249(a919),x59951),f366(x59952)))+~P107(f334(f70(a919),x59952))+~P107(f334(f334(f336(a919),x59951),x59952))
% 164.74/165.09 [6024]E(x60241,x60242)+~P107(f334(f334(f249(a919),x60241),f334(a125,x60242)))+P107(f334(f334(f249(a919),x60241),x60242))
% 164.74/165.09 [6057]E(x60571,f334(a125,x60572))+~P107(f334(f334(f248(a919),x60571),f334(a125,x60572)))+P107(f334(f334(f248(a919),x60571),x60572))
% 164.74/165.09 [6073]P107(f334(x60731,f493(x60731)))+~P107(f334(x60731,f334(a117,x60732)))+~P107(f334(f334(f248(a1),f2(a1)),x60732))
% 164.74/165.09 [6087]~P107(f334(x60871,x60872))+~P107(f334(f334(f248(a1),f2(a1)),x60872))+P107(f334(x60871,f334(f113(a1),f485(x60871))))
% 164.74/165.09 [6099]~P91(x60992)+~E(x60991,f2(x60992))+~P107(f334(f334(f249(x60992),f2(x60992)),f334(f84(x60992),x60991)))
% 164.74/165.09 [6126]~P57(x61261,x61262)+P38(x61261,f334(f294(x61261,x61261),x61262))+~P107(f334(f70(f925(x61261,x61261)),x61262))
% 164.74/165.09 [6134]~P97(x61341)+E(f334(f113(x61341),f334(f116(a919),x61342)),f334(f116(x61341),x61342))+~P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),x61342)))
% 164.74/165.09 [6138]E(f334(a125,x61381),x61382)+~P107(f334(f334(f249(a919),x61381),x61382))+P107(f334(f334(f249(a919),f334(a125,x61381)),x61382))
% 164.74/165.09 [6154]E(f334(f334(f45(a1),x61541),x61542),f2(a1))+~P107(f334(f334(f248(a1),x61541),f2(a1)))+~P107(f334(f334(f249(a1),x61542),x61541))
% 164.74/165.09 [6164]E(f54(a1,x61641,x61642),x61641)+~P107(f334(f334(f248(a1),x61641),f2(a1)))+~P107(f334(f334(f249(a1),x61642),x61641))
% 164.74/165.09 [6178]E(f56(x61781,x61782),f55(x61781,x61782))+~P107(f334(f334(f248(a1),f2(a1)),x61781))+~P107(f334(f334(f248(a1),f2(a1)),x61782))
% 164.74/165.09 [6187]E(f334(f334(f45(a1),x61871),x61872),f2(a1))+~P107(f334(f334(f248(a1),f2(a1)),x61871))+~P107(f334(f334(f249(a1),x61871),x61872))
% 164.74/165.09 [6199]E(f54(a919,f334(f116(a919),x61991),f334(f116(a919),x61992)),f334(f116(a919),x61991))+P107(f334(a203,f334(f116(a1),x61991)))+~P107(f334(a203,f334(f116(a1),x61992)))
% 164.74/165.09 [6201]E(f54(a1,x62011,x62012),x62011)+~P107(f334(f334(f248(a1),f2(a1)),x62011))+~P107(f334(f334(f249(a1),x62011),x62012))
% 164.74/165.09 [6202]E(x62021,x62022)+~P107(f334(f334(f249(a919),x62021),f334(a125,x62022)))+~P107(f334(f334(f248(a919),x62022),x62021))
% 164.74/165.09 [6216]~P78(x62161)+~P107(f334(f334(f248(x62161),x62162),f2(x62161)))+P107(f334(f334(f248(x62161),x62162),f334(f88(x62161),x62162)))
% 164.74/165.09 [6217]~P122(x62171)+~P107(f334(f334(f249(x62171),x62172),f2(x62171)))+P107(f334(f334(f249(x62171),x62172),f334(f88(x62171),x62172)))
% 164.74/165.09 [6227]~P3(x62271)+E(f334(f334(f73(x62271,x62271,f114(x62271)),f256(x62271)),x62272),f47(x62271,x62272))+~P107(f334(f70(x62271),x62272))
% 164.74/165.09 [6228]~P3(x62281)+E(f334(f334(f73(x62281,x62281,f123(x62281)),f198(x62281)),x62282),f46(x62281,x62282))+~P107(f334(f70(x62281),x62282))
% 164.74/165.09 [6243]~P122(x62431)+~P107(f334(f334(f248(a1),f2(a1)),x62432))+P107(f334(f334(f248(x62431),f2(x62431)),f334(f115(x62431),x62432)))
% 164.74/165.09 [6244]~P125(x62441)+~P107(f334(f334(f249(a919),f2(a919)),x62442))+P107(f334(f334(f249(x62441),f2(x62441)),f334(f113(x62441),x62442)))
% 164.74/165.09 [6245]~P122(x62451)+~P107(f334(f334(f249(a1),f2(a1)),x62452))+P107(f334(f334(f249(x62451),f2(x62451)),f334(f115(x62451),x62452)))
% 164.74/165.09 [6248]~P4(x62482)+~P4(x62481)+E(f334(f317(a919,a1,f113(a1)),f310(a919,f334(a117,x62481),f334(a117,x62482))),f310(a1,x62481,x62482))
% 164.74/165.09 [6254]P107(f334(x62541,x62542))+~P107(f334(f334(f248(a1),f2(a1)),x62542))+~P107(f334(x62541,f334(f113(a1),f486(x62541))))
% 164.74/165.09 [6283]E(f334(f334(f89(a919),f334(f116(a919),x62831)),f334(f116(a919),x62832)),f334(f116(a919),x62831))+P107(f334(f334(f249(a1),x62831),a92))+~P107(f334(f334(f249(a1),x62832),a92))
% 164.74/165.09 [6287]~P122(x62871)+P107(f334(f334(f249(x62871),f2(x62871)),f91(x62871,x62872)))+~P107(f334(f334(f249(x62871),f2(x62871)),x62872))
% 164.74/165.09 [6298]~P79(x62981)+~P107(f334(f334(f248(x62981),x62982),f2(x62981)))+P107(f334(f334(f248(x62981),f2(x62981)),f334(f88(x62981),x62982)))
% 164.74/165.09 [6299]~P79(x62991)+~P107(f334(f334(f249(x62991),x62992),f2(x62991)))+P107(f334(f334(f249(x62991),f2(x62991)),f334(f88(x62991),x62992)))
% 164.74/165.09 [6302]E(x63021,f256(f926(x63022,a913)))+~E(f334(f44(x63022),x63021),f334(f44(x63022),f256(f926(x63022,a913))))+~P107(f334(f70(x63022),f256(f926(x63022,a913))))
% 164.74/165.09 [6340]~P78(x63401)+P107(f334(f334(f248(x63401),x63402),f2(x63401)))+~P107(f334(f334(f248(x63401),x63402),f334(f88(x63401),x63402)))
% 164.74/165.09 [6341]~P122(x63411)+P107(f334(f334(f249(x63411),x63412),f2(x63411)))+~P107(f334(f334(f249(x63411),x63412),f334(f88(x63411),x63412)))
% 164.74/165.09 [6350]~P97(x63501)+P107(f334(f334(f336(x63501),f334(f116(x63501),x63502)),f196(x63501)))+~P107(f334(f334(f248(a1),a92),x63502))
% 164.74/165.09 [6379]E(x63791,f2(a919))+~P107(f334(f334(f249(a919),x63791),f334(a125,x63792)))+P107(f334(f334(f249(a919),f456(x63792,x63791)),x63792))
% 164.74/165.09 [6401]~P122(x64011)+~P107(f334(f334(f249(x64011),f2(x64011)),f91(x64011,x64012)))+P107(f334(f334(f249(x64011),f2(x64011)),x64012))
% 164.74/165.09 [6403]~E(f334(f116(a919),x64032),f334(f116(a919),x64031))+P107(f334(f334(f248(a1),f334(f116(a1),x64031)),f2(a1)))+~P107(f334(a203,f334(f116(a1),x64032)))
% 164.74/165.09 [6433]E(f334(f265(a1,a1),f59(x64331,x64332)),f334(f334(f45(a1),x64331),x64332))+~P107(f334(f334(f249(a1),x64331),f2(a1)))+~P107(f334(f334(f249(a1),f2(a1)),x64332))
% 164.74/165.09 [6466]E(f334(f269(a1,a1),f59(x64661,x64662)),f54(a1,x64661,x64662))+~P107(f334(f334(f249(a1),x64661),f2(a1)))+~P107(f334(f334(f249(a1),f2(a1)),x64662))
% 164.74/165.09 [6469]~P122(x64692)+~P107(f334(f334(f248(x64692),f2(x64692)),f334(f115(x64692),x64691)))+P107(f334(f334(f248(a1),f2(a1)),x64691))
% 164.74/165.09 [6470]~P125(x64702)+~P107(f334(f334(f249(x64702),f2(x64702)),f334(f113(x64702),x64701)))+P107(f334(f334(f249(a919),f2(a919)),x64701))
% 164.74/165.09 [6471]~P122(x64712)+~P107(f334(f334(f249(x64712),f2(x64712)),f334(f115(x64712),x64711)))+P107(f334(f334(f249(a1),f2(a1)),x64711))
% 164.74/165.09 [6474]E(f334(f265(a1,a1),f56(x64741,x64742)),f334(f334(f45(a1),x64741),x64742))+~P107(f334(f334(f248(a1),f2(a1)),x64742))+~P107(f334(f334(f249(a1),f2(a1)),x64741))
% 164.74/165.09 [6488]E(f334(f269(a1,a1),f56(x64881,x64882)),f54(a1,x64881,x64882))+~P107(f334(f334(f248(a1),f2(a1)),x64882))+~P107(f334(f334(f249(a1),f2(a1)),x64881))
% 164.74/165.09 [6503]~P79(x65031)+P107(f334(f334(f248(x65031),x65032),f2(x65031)))+~P107(f334(f334(f248(x65031),f2(x65031)),f334(f88(x65031),x65032)))
% 164.74/165.09 [6504]~P79(x65041)+P107(f334(f334(f249(x65041),x65042),f2(x65041)))+~P107(f334(f334(f249(x65041),f2(x65041)),f334(f88(x65041),x65042)))
% 164.74/165.09 [6531]P107(f334(f58(x65311,x65312),f59(x65311,x65312)))+~P107(f334(f334(f249(a1),x65311),f2(a1)))+~P107(f334(f334(f249(a1),f2(a1)),x65312))
% 164.74/165.09 [6556]P107(f334(f58(x65561,x65562),f56(x65561,x65562)))+~P107(f334(f334(f248(a1),f2(a1)),x65561))+~P107(f334(f334(f249(a1),f2(a1)),x65562))
% 164.74/165.09 [6601]~P79(x66011)+P107(f334(f334(f248(x66011),f334(f88(x66011),x66012)),f2(x66011)))+~P107(f334(f334(f248(x66011),f2(x66011)),x66012))
% 164.74/165.09 [6602]~P79(x66021)+P107(f334(f334(f249(x66021),f334(f88(x66021),x66022)),f2(x66021)))+~P107(f334(f334(f249(x66021),f2(x66021)),x66022))
% 164.74/165.09 [6619]E(f334(f334(f23(a919),f334(a117,x66191)),f334(a117,x66192)),f334(a117,f205(x66191,x66192)))+~P107(f334(f334(f248(a1),f2(a1)),x66192))+~P107(f334(f334(f248(a1),f2(a1)),x66191))
% 164.74/165.09 [6636]P107(f334(f334(f248(a1),f2(a1)),f205(x66361,x66362)))+~P107(f334(f334(f248(a1),f2(a1)),x66362))+~P107(f334(f334(f248(a1),f2(a1)),x66361))
% 164.74/165.09 [6673]~P107(f334(x66731,x66732))+P107(f334(x66731,f2(a919)))+P107(f334(x66731,f334(f334(f89(a919),f593(x66732,x66731)),f87(a919))))
% 164.74/165.09 [6757]E(f334(f116(a919),x67571),f334(f116(a919),x67572))+~P107(f334(f334(f248(a1),f334(f116(a1),x67572)),f2(a1)))+~P107(f334(a203,f334(f116(a1),x67571)))
% 164.74/165.09 [6767]~E(x67671,f2(a919))+~E(f750(x67672,x67671),f2(a919))+E(f334(f152(a919,a919,f89(a919),x67671),x67672),f2(a919))
% 164.74/165.09 [6792]~P107(f334(f70(x67921),f369(x67922,x67921)))+~P107(f334(f70(f926(x67921,a913)),x67922))+P107(f334(f70(x67921),f46(f926(x67921,a913),x67922)))
% 164.74/165.09 [6798]E(x67981,x67982)+P107(f334(f334(f249(a1),x67981),x67982))+~P107(f334(f334(f249(a1),x67981),f334(f334(f89(a1),x67982),f87(a1))))
% 164.74/165.09 [6799]P107(f334(f334(f248(a919),f334(a117,x67991)),f334(a117,x67992)))+~P107(f334(f334(f248(a1),f2(a1)),x67992))+~P107(f334(f334(f248(a1),x67991),x67992))
% 164.74/165.09 [6800]P107(f334(f334(f248(a919),f334(a117,x68001)),f334(a117,x68002)))+~P107(f334(f334(f249(a1),f2(a1)),x68001))+~P107(f334(f334(f248(a1),x68001),x68002))
% 164.74/165.09 [6802]P107(f334(f334(f249(a919),f334(a117,x68021)),f334(a117,x68022)))+~P107(f334(f334(f248(a1),f2(a1)),x68021))+~P107(f334(f334(f249(a1),x68021),x68022))
% 164.74/165.09 [6803]P107(f334(f334(f249(a919),f334(a117,x68031)),f334(a117,x68032)))+~P107(f334(f334(f249(a1),f2(a1)),x68032))+~P107(f334(f334(f249(a1),x68031),x68032))
% 164.74/165.09 [6814]E(f54(a919,f334(a117,x68141),f334(a117,x68142)),f334(a117,f54(a1,x68141,x68142)))+~P107(f334(f334(f248(a1),f2(a1)),x68142))+~P107(f334(f334(f248(a1),f2(a1)),x68141))
% 164.74/165.09 [6837]~P79(x68371)+~P107(f334(f334(f248(x68371),f334(f88(x68371),x68372)),f2(x68371)))+P107(f334(f334(f248(x68371),f2(x68371)),x68372))
% 164.74/165.09 [6838]~P79(x68381)+~P107(f334(f334(f249(x68381),f334(f88(x68381),x68382)),f2(x68381)))+P107(f334(f334(f249(x68381),f2(x68381)),x68382))
% 164.74/165.09 [6852]~P107(f334(f334(f249(a1),a92),x68522))+~P107(f334(f334(f249(a1),x68521),x68522))+P107(f334(f334(f249(a919),f334(f116(a919),x68521)),f334(f116(a919),x68522)))
% 164.74/165.09 [6940]~P107(f334(f334(f248(a1),f2(a1)),x69401))+P107(f334(f334(f249(a919),f334(a117,x69401)),x69402))+~P107(f334(f334(f249(a1),x69401),f334(f113(a1),x69402)))
% 164.74/165.09 [6957]E(x69571,f2(a1))+E(f54(a1,x69572,x69571),f2(a1))+E(f334(f334(f23(a1),f334(f88(a1),f334(f334(f45(a1),x69572),x69571))),f87(a1)),f334(f334(f45(a1),x69572),f334(f88(a1),x69571)))
% 164.74/165.09 [6971]~P107(f334(f334(f248(a1),f2(a1)),x69711))+~P107(f334(f334(f249(a919),f334(a117,x69711)),x69712))+P107(f334(f334(f249(a1),x69711),f334(f113(a1),x69712)))
% 164.74/165.09 [7005]~P107(f334(f334(f248(a919),f334(a117,x70051)),f334(a117,x70052)))+~P107(f334(f334(f248(a1),f2(a1)),x70052))+P107(f334(f334(f248(a1),x70051),x70052))
% 164.74/165.09 [7006]~P107(f334(f334(f248(a919),f334(a117,x70061)),f334(a117,x70062)))+~P107(f334(f334(f249(a1),f2(a1)),x70061))+P107(f334(f334(f248(a1),x70061),x70062))
% 164.74/165.09 [7034]P107(f334(f334(f248(a1),x70341),x70342))+~P107(f334(f334(f248(a919),f334(f116(a919),x70341)),f334(f116(a919),x70342)))+P107(f334(f334(f248(a1),x70341),a92))
% 164.74/165.09 [7061]P107(f334(f334(f248(a1),f2(a1)),f54(a1,x70611,x70612)))+~P107(f334(f334(f248(a1),f2(a1)),x70612))+~P107(f334(f334(f248(a1),f2(a1)),x70611))
% 164.74/165.09 [7158]P107(f334(f334(f249(a1),a92),x71581))+~P107(f334(f334(f249(a1),x71582),x71581))+~P107(f334(f334(f249(a919),f334(f116(a919),x71582)),f334(f116(a919),x71581)))
% 164.74/165.09 [7210]E(f334(f334(f266(a1,a1),f334(f334(f45(a1),x72101),x72102)),f54(a1,x72101,x72102)),f59(x72101,x72102))+~P107(f334(f334(f249(a1),x72101),f2(a1)))+~P107(f334(f334(f249(a1),f2(a1)),x72102))
% 164.74/165.09 [7230]E(f334(f334(f266(a1,a1),f334(f334(f45(a1),x72301),x72302)),f54(a1,x72301,x72302)),f56(x72301,x72302))+~P107(f334(f334(f248(a1),f2(a1)),x72302))+~P107(f334(f334(f248(a1),f2(a1)),x72301))
% 164.74/165.09 [7282]~P99(x72822)+E(x72821,f126(x72822))+E(f334(f152(x72822,x72822,f90(x72822),f334(f151(x72822),x72821)),f334(f181(x72822),x72821)),f334(f72(x72822,f90(x72822)),f334(f182(x72822),x72821)))
% 164.74/165.09 [7397]~E(x73971,f2(a919))+E(f334(f152(a919,a919,f89(a919),x73971),x73972),f2(a919))+P107(f334(f334(f336(a919),f750(x73972,x73971)),f334(f182(a919),x73972)))
% 164.74/165.09 [7447]~P107(f334(f334(f248(a1),x74471),f2(a1)))+P107(f334(f334(f248(a1),f334(f334(f45(a1),x74471),x74472)),f2(a1)))+~P107(f334(f334(f249(a1),f2(a1)),x74472))
% 164.74/165.09 [7448]~P107(f334(f334(f249(a1),x74482),f2(a1)))+P107(f334(f334(f248(a1),f334(f334(f45(a1),x74481),x74482)),f2(a1)))+~P107(f334(f334(f248(a1),f2(a1)),x74481))
% 164.74/165.09 [7449]~P107(f334(f334(f249(a1),x74492),f2(a1)))+P107(f334(f334(f249(a1),f334(f334(f45(a1),x74491),x74492)),f2(a1)))+~P107(f334(f334(f249(a1),f2(a1)),x74491))
% 164.74/165.09 [7451]~P107(f334(f334(f249(a1),x74511),f2(a1)))+P107(f334(f334(f249(a1),f334(f334(f45(a1),x74511),x74512)),f2(a1)))+~P107(f334(f334(f249(a1),f2(a1)),x74512))
% 164.74/165.09 [7457]P107(f334(f334(f336(f926(x74571,a913)),f369(x74572,x74571)),x74572))+~P107(f334(f70(f926(x74571,a913)),x74572))+P107(f334(f70(x74571),f46(f926(x74571,a913),x74572)))
% 164.74/165.09 [7548]P23(x75481,x75481,x75482,f256(f926(x75481,a913)))+~E(f334(f317(x75481,x75481,x75482),f256(f926(x75481,a913))),f256(f926(x75481,a913)))+~P107(f334(f70(x75481),f256(f926(x75481,a913))))
% 164.74/165.09 [7668]~P23(x76681,x76681,x76682,f256(f926(x76681,a913)))+E(f334(f317(x76681,x76681,x76682),f256(f926(x76681,a913))),f256(f926(x76681,a913)))+~P107(f334(f70(x76681),f256(f926(x76681,a913))))
% 164.74/165.09 [7805]E(f334(f334(f45(a1),x78051),x78052),f334(f116(a1),a110))+~P107(f334(f334(f248(a1),f334(f334(f89(a1),x78051),x78052)),f2(a1)))+~P107(f334(f334(f249(a1),f2(a1)),x78051))
% 164.74/165.09 [7864]~P107(f334(f334(f249(a1),x78642),f2(a1)))+~P107(f334(f334(f249(a1),f334(f334(f45(a1),x78641),x78642)),f2(a1)))+P107(f334(f334(f249(a1),f2(a1)),x78641))
% 164.74/165.09 [7869]E(f334(f334(f89(a1),x78691),x78692),f54(a1,x78691,x78692))+~P107(f334(f334(f248(a1),f334(f334(f89(a1),x78691),x78692)),f2(a1)))+~P107(f334(f334(f249(a1),f2(a1)),x78691))
% 164.74/165.09 [7872]P107(f334(f334(f249(a1),x78721),f2(a1)))+~P107(f334(f334(f249(a1),f334(f334(f45(a1),x78721),x78722)),f2(a1)))+~P107(f334(f334(f249(a1),f2(a1)),x78722))
% 164.74/165.09 [8575]~P110(x85751)+P12(x85751,x85752)+~P107(f334(f334(f248(x85751),f334(f334(f174(x85751),x85752),f768(x85752,x85751))),f334(f334(f174(x85751),x85752),f769(x85752,x85751))))
% 164.74/165.09 [8576]~P110(x85761)+P12(x85761,x85762)+~P107(f334(f334(f248(x85761),f334(f334(f174(x85761),x85762),f776(x85762,x85761))),f334(f334(f174(x85761),x85762),f780(x85762,x85761))))
% 164.74/165.09 [5830]E(x58301,f2(a1))+~E(f54(a1,x58302,x58301),f2(a1))+E(f334(f334(f45(a1),x58302),f334(f88(a1),x58301)),f334(f88(a1),f334(f334(f45(a1),x58302),x58301)))
% 164.74/165.09 [5848]~P40(x58482)+~P40(x58481)+P40(f334(f334(f123(f926(a1,a913)),x58481),x58482))
% 164.74/165.09 [5849]~P40(x58492)+~P40(x58491)+P40(f334(f334(f114(f926(a1,a913)),x58491),x58492))
% 164.74/165.09 [5867]~P97(x58671)+~P65(x58671)+E(f334(f88(x58671),f334(f334(f297(x58671),f87(x58671)),x58672)),f334(f334(f297(x58671),f334(f116(x58671),a110)),x58672))
% 164.74/165.09 [5984]E(x59841,f2(a1))+~E(f54(a1,x59842,x59841),f2(a1))+E(f334(f334(f45(a1),f334(f88(a1),x59842)),x59841),f334(f88(a1),f334(f334(f45(a1),x59842),x59841)))
% 164.74/165.09 [6120]~P110(x61201)+P12(x61201,x61202)+P107(f334(f334(f249(a919),f769(x61202,x61201)),f334(f199(f920(x61201)),x61202)))
% 164.74/165.09 [6121]~P110(x61211)+P12(x61211,x61212)+P107(f334(f334(f249(a919),f780(x61212,x61211)),f334(f199(f920(x61211)),x61212)))
% 164.74/165.09 [6277]~P97(x62771)+~E(f334(f116(x62771),x62772),f2(x62771))+P27(x62771,f334(f116(x62771),f334(f334(f89(a1),x62772),f334(f88(a1),a92))))
% 164.74/165.09 [6278]~P97(x62781)+~E(f334(f116(x62781),x62782),f2(x62781))+P27(x62781,f334(f116(x62781),f334(f334(f89(a1),a92),f334(f88(a1),x62782))))
% 164.74/165.09 [6280]E(f334(a60,f56(f334(f88(a1),x62801),f334(f88(a1),x62802))),f55(x62801,x62802))+P107(f334(f334(f248(a1),f2(a1)),x62801))+P107(f334(f334(f249(a1),f2(a1)),x62802))
% 164.74/165.09 [6409]~E(x64092,f2(a919))+~E(x64091,f2(a919))+P107(f334(f334(f248(a1),f334(f113(a1),x64091)),f334(f88(a1),f334(f113(a1),x64092))))
% 164.74/165.09 [6437]E(f334(f334(f89(a919),f334(f116(a919),x64371)),f334(f116(a919),x64372)),f334(f116(a919),f334(f334(f89(a1),x64371),x64372)))+P107(f334(f334(f249(a1),x64371),a92))+P107(f334(f334(f249(a1),x64372),a92))
% 164.74/165.09 [6566]~P78(x65661)+~P107(f334(f334(f248(x65661),f2(x65661)),x65662))+P107(f334(f334(f248(x65661),f334(f88(x65661),x65662)),x65662))
% 164.74/165.09 [6567]~P78(x65671)+~P107(f334(f334(f249(x65671),f2(x65671)),x65672))+P107(f334(f334(f249(x65671),f334(f88(x65671),x65672)),x65672))
% 164.74/165.09 [6743]E(f334(f334(f23(a919),f334(a117,x67431)),f334(a117,x67432)),f334(a117,f334(f334(f23(a1),x67431),x67432)))+~P107(f334(f334(f248(a1),f2(a1)),x67432))+~P107(f334(f334(f248(a1),x67432),x67431))
% 164.74/165.09 [6776]E(f334(a117,f54(a1,f334(f116(a1),x67761),f334(f116(a1),x67762))),f54(a919,f334(f116(a919),x67761),f334(f116(a919),x67762)))+P107(f334(a203,f334(f116(a1),x67761)))+P107(f334(a203,f334(f116(a1),x67762)))
% 164.74/165.09 [6793]~P78(x67931)+P107(f334(f334(f248(x67931),f2(x67931)),x67932))+~P107(f334(f334(f248(x67931),f334(f88(x67931),x67932)),x67932))
% 164.74/165.09 [6794]~P78(x67941)+P107(f334(f334(f249(x67941),f2(x67941)),x67942))+~P107(f334(f334(f249(x67941),f334(f88(x67941),x67942)),x67942))
% 164.74/165.09 [6806]~P78(x68061)+~P107(f334(f334(f248(x68061),f2(x68061)),x68062))+P107(f334(f334(f248(x68061),f2(x68061)),f334(f334(f89(x68061),x68062),x68062)))
% 164.74/165.09 [6808]~P78(x68081)+~P107(f334(f334(f249(x68081),f2(x68081)),x68082))+P107(f334(f334(f249(x68081),f2(x68081)),f334(f334(f89(x68081),x68082),x68082)))
% 164.74/165.09 [6820]E(f334(f334(f89(a919),f334(a117,x68201)),f334(a117,x68202)),f334(a117,f334(f334(f89(a1),x68201),x68202)))+~P107(f334(f334(f248(a1),f2(a1)),x68202))+~P107(f334(f334(f248(a1),f2(a1)),x68201))
% 164.74/165.09 [6832]E(x68321,f2(a919))+P107(f334(f334(f249(a919),f2(a919)),x68322))+~P107(f334(f334(f249(a919),f2(a919)),f334(f334(f258(a919),x68322),x68321)))
% 164.74/165.09 [6862]~P97(x68621)+E(f334(f116(x68621),x68622),f2(x68621))+~P27(x68621,f334(f116(x68621),f334(f334(f89(a1),a92),f334(f88(a1),x68622))))
% 164.74/165.09 [6863]~P97(x68631)+E(f334(f116(x68631),x68632),f2(x68631))+~P27(x68631,f334(f116(x68631),f334(f334(f89(a1),x68632),f334(f88(a1),a92))))
% 164.74/165.09 [6918]~P107(f334(f70(x69181),x69182))+~P107(f334(f70(x69181),f256(f926(x69181,a913))))+P107(f334(f70(x69181),f334(f88(f926(x69181,a913)),x69182)))
% 164.74/165.09 [6941]~P107(f334(f334(f249(a1),f2(a1)),x69412))+~P107(f334(f334(f248(a1),x69412),x69411))+P107(f334(f334(f249(a1),f2(a1)),f334(f334(f45(a1),x69411),x69412)))
% 164.74/165.09 [6942]~P107(f334(f334(f248(a1),x69421),f2(a1)))+~P107(f334(f334(f249(a1),x69422),f2(a1)))+P107(f334(f334(f248(a1),f2(a1)),f334(f334(f45(a1),x69421),x69422)))
% 164.74/165.09 [6979]~P107(f334(f334(f248(a1),f2(a1)),x69792))+~P107(f334(f334(f248(a1),f2(a1)),x69791))+P107(f334(f334(f248(a1),f2(a1)),f334(f334(f90(a1),x69791),x69792)))
% 164.74/165.09 [6980]~P107(f334(f334(f248(a1),f2(a1)),x69802))+~P107(f334(f334(f248(a1),f2(a1)),x69801))+P107(f334(f334(f248(a1),f2(a1)),f334(f334(f89(a1),x69801),x69802)))
% 164.74/165.09 [6981]~P107(f334(f334(f248(a1),f2(a1)),x69812))+~P107(f334(f334(f248(a1),f2(a1)),x69811))+P107(f334(f334(f248(a1),f2(a1)),f334(f334(f45(a1),x69811),x69812)))
% 164.74/165.09 [6982]~P107(f334(f334(f248(a1),f2(a1)),x69821))+~P107(f334(f334(f249(a1),f2(a1)),x69822))+P107(f334(f334(f248(a1),f2(a1)),f334(f334(f45(a1),x69821),x69822)))
% 164.74/165.09 [6983]~P107(f334(f334(f249(a919),f2(a919)),x69832))+~P107(f334(f334(f249(a919),f2(a919)),x69831))+P107(f334(f334(f249(a919),f2(a919)),f334(f334(f90(a919),x69831),x69832)))
% 164.74/165.09 [7047]E(x70471,f2(a1))+E(f54(a1,x70472,x70471),f2(a1))+E(f334(f334(f23(a1),f334(f88(a1),f334(f334(f45(a1),x70472),x70471))),f87(a1)),f334(f334(f45(a1),f334(f88(a1),x70472)),x70471))
% 164.74/165.09 [7101]P107(f334(f334(f249(a919),f2(a919)),x71011))+P107(f334(f334(f249(a919),f2(a919)),x71012))+~P107(f334(f334(f249(a919),f2(a919)),f334(f334(f89(a919),x71012),x71011)))
% 164.74/165.09 [7105]~P78(x71051)+P107(f334(f334(f248(x71051),f2(x71051)),x71052))+~P107(f334(f334(f248(x71051),f2(x71051)),f334(f334(f89(x71051),x71052),x71052)))
% 164.74/165.09 [7106]~P78(x71061)+P107(f334(f334(f249(x71061),f2(x71061)),x71062))+~P107(f334(f334(f249(x71061),f2(x71061)),f334(f334(f89(x71061),x71062),x71062)))
% 164.74/165.09 [7159]~P107(f334(f70(x71591),x71592))+P107(f334(f70(x71591),f256(f926(x71591,a913))))+~P107(f334(f70(x71591),f334(f88(f926(x71591,a913)),x71592)))
% 164.74/165.09 [7222]P107(f334(f334(f248(a1),x72221),f2(a1)))+~P107(f334(f334(f249(a1),x72222),f2(a1)))+~P107(f334(f334(f248(a1),f2(a1)),f334(f334(f45(a1),x72221),x72222)))
% 164.74/165.09 [7228]~P107(f334(f334(f249(a1),f2(a1)),x72281))+P107(f334(f334(f248(a1),x72281),x72282))+~P107(f334(f334(f249(a1),f2(a1)),f334(f334(f45(a1),x72282),x72281)))
% 164.74/165.09 [7229]~P107(f334(f334(f248(a1),f2(a1)),x72292))+P107(f334(f334(f248(a1),x72291),x72292))+~P107(f334(f334(f249(a1),f2(a1)),f334(f334(f45(a1),x72292),x72291)))
% 164.74/165.09 [7258]P107(f334(f334(f248(a1),f2(a1)),x72581))+~P107(f334(f334(f249(a1),f2(a1)),x72582))+~P107(f334(f334(f248(a1),f2(a1)),f334(f334(f45(a1),x72581),x72582)))
% 164.74/165.09 [7259]P107(f334(f334(f249(a1),f2(a1)),x72591))+~P107(f334(f334(f248(a1),f2(a1)),x72592))+~P107(f334(f334(f249(a1),f2(a1)),f334(f334(f45(a1),x72592),x72591)))
% 164.74/165.09 [7699]~P107(f334(f70(x76992),f256(f926(x76992,a913))))+~P107(f334(f70(x76991),f256(f926(x76991,a913))))+P107(f334(f70(f925(x76991,x76992)),f256(f926(f925(x76991,x76992),a913))))
% 164.74/165.09 [7700]~P107(f334(f70(x77002),f256(f926(x77002,a913))))+~P107(f334(f70(x77001),f256(f926(x77001,a913))))+P107(f334(f70(f927(x77001,x77002)),f256(f926(f927(x77001,x77002),a913))))
% 164.74/165.09 [7770]~P107(f334(f334(f249(a919),f334(a125,f2(a919))),x77701))+~P107(f334(f334(f249(a919),f334(a125,f2(a919))),x77702))+P107(f334(f334(f249(a919),x77701),f334(f334(f90(a919),x77702),x77701)))
% 164.74/165.09 [7771]~P107(f334(f334(f249(a919),f334(a125,f2(a919))),x77711))+~P107(f334(f334(f249(a919),f334(a125,f2(a919))),x77712))+P107(f334(f334(f249(a919),x77711),f334(f334(f90(a919),x77711),x77712)))
% 164.74/165.09 [7804]E(f334(f44(x78041),f256(f926(x78041,a913))),f334(a125,f2(a919)))+P107(f334(f70(x78042),f256(f926(x78042,a913))))+~P107(f334(f70(f926(x78042,x78041)),f256(f926(f926(x78042,x78041),a913))))
% 164.74/165.09 [7934]~P107(f334(f334(f248(a919),f334(a125,f2(a919))),x79341))+~P107(f334(f334(f248(a919),f334(a125,f2(a919))),x79342))+P107(f334(f334(f248(a919),f334(a125,f2(a919))),f334(f334(f90(a919),x79341),x79342)))
% 164.74/165.09 [7935]~P107(f334(f334(f249(a919),f334(a125,f2(a919))),x79352))+~P107(f334(f334(f249(a919),f334(a125,f2(a919))),x79351))+P107(f334(f334(f249(a919),f334(a125,f2(a919))),f334(f334(f90(a919),x79351),x79352)))
% 164.74/165.09 [8626]E(x86261,f126(x86262))+~P107(f334(f147(x86262),x86261))+E(f187(x86262,f334(f334(f8(a913,a913,x86262),a329),f334(f334(f7(x86262,x86262,a913),a331),f154(x86262,x86261))),x86261),f127(x86262,x86261))
% 164.74/165.09 [8724]~P40(x87242)+~P40(x87241)+E(f334(f317(a919,a1,f113(a1)),f334(f334(f123(f926(a919,a913)),f334(f317(a1,a919,a117),x87241)),f334(f317(a1,a919,a117),x87242))),f334(f334(f123(f926(a1,a913)),x87241),x87242))
% 164.74/165.09 [8725]~P40(x87252)+~P40(x87251)+E(f334(f317(a919,a1,f113(a1)),f334(f334(f114(f926(a919,a913)),f334(f317(a1,a919,a117),x87251)),f334(f317(a1,a919,a117),x87252))),f334(f334(f114(f926(a1,a913)),x87251),x87252))
% 164.74/165.09 [9406]~P97(x94061)+~E(f334(f116(x94061),x94062),f87(x94061))+P27(x94061,f334(f116(x94061),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f88(a1),x94062))))
% 164.74/165.09 [9651]~P97(x96511)+E(f334(f116(x96511),x96512),f87(x96511))+~P27(x96511,f334(f116(x96511),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f88(a1),x96512))))
% 164.74/165.09 [10410]E(x104101,f2(a1))+E(x104102,f2(a1))+E(f334(f271(a1,a1,a1,a1,f25(a1),f334(f90(a1),f91(a1,x104102))),f334(f334(f334(f109(f925(a1,a1)),f334(f334(a331,f91(a1,x104101)),f91(a1,x104102))),f62(x104101,x104102)),f334(f334(f270(a1,a1,f925(a1,a1)),f334(f334(f18(a1,f926(a1,f925(a1,a1)),f926(a1,f925(a1,a1))),f334(f334(f8(f926(a1,f926(f925(a1,a1),f925(a1,a1))),f926(f926(a1,f925(a1,a1)),f926(a1,f925(a1,a1))),a1),f18(a1,f925(a1,a1),f925(a1,a1))),f334(f334(f8(f925(a1,a1),f926(a1,f926(f925(a1,a1),f925(a1,a1))),a1),f334(f7(a1,f925(a1,a1),f926(f925(a1,a1),f925(a1,a1))),f334(f334(f8(a913,f926(f925(a1,a1),f926(f925(a1,a1),f925(a1,a1))),a1),f109(f925(a1,a1))),f334(f334(f7(a1,a1,a913),a331),f2(a1))))),f334(f334(f7(a1,a1,f925(a1,a1)),f334(f334(f8(a1,f926(a1,f925(a1,a1)),a1),f266(a1,a1)),f88(a1))),f2(a1))))),f334(f334(f7(a1,f926(a1,a1),f926(a1,f925(a1,a1))),f334(f334(f8(f926(a1,f925(a1,a1)),f926(f926(a1,a1),f926(a1,f925(a1,a1))),a1),f8(a1,f925(a1,a1),a1)),f334(f334(f8(a1,f926(a1,f925(a1,a1)),a1),f266(a1,a1)),f334(f334(f7(a1,a1,a1),f334(f334(f8(a1,f926(a1,a1),a1),f23(a1)),f88(a1))),f87(a1))))),f334(f23(a1),f334(f84(a1),x104102))))),f62(x104101,x104102)))),f55(x104101,x104102))
% 164.74/165.09 [10411]E(x104111,f2(a1))+E(x104112,f2(a1))+E(f334(f271(a1,a1,a1,a1,f25(a1),f334(f90(a1),f91(a1,x104112))),f334(f334(f334(f109(f925(a1,a1)),f334(f334(a332,f334(f334(a333,f334(f334(f249(a1),f2(a1)),x104112)),f334(f334(f248(a1),f2(a1)),x104111))),f334(f334(a333,f334(f334(f249(a1),x104112),f2(a1))),f334(f334(f249(a1),x104111),f2(a1))))),f62(x104111,x104112)),f334(f334(f270(a1,a1,f925(a1,a1)),f334(f334(f18(a1,f926(a1,f925(a1,a1)),f926(a1,f925(a1,a1))),f334(f334(f8(f926(a1,f926(f925(a1,a1),f925(a1,a1))),f926(f926(a1,f925(a1,a1)),f926(a1,f925(a1,a1))),a1),f18(a1,f925(a1,a1),f925(a1,a1))),f334(f334(f8(f925(a1,a1),f926(a1,f926(f925(a1,a1),f925(a1,a1))),a1),f334(f7(a1,f925(a1,a1),f926(f925(a1,a1),f925(a1,a1))),f334(f334(f8(a913,f926(f925(a1,a1),f926(f925(a1,a1),f925(a1,a1))),a1),f109(f925(a1,a1))),f334(f334(f7(a1,a1,a913),a331),f2(a1))))),f334(f334(f7(a1,a1,f925(a1,a1)),f334(f334(f8(a1,f926(a1,f925(a1,a1)),a1),f266(a1,a1)),f88(a1))),f2(a1))))),f334(f334(f7(a1,f926(a1,a1),f926(a1,f925(a1,a1))),f334(f334(f8(f926(a1,f925(a1,a1)),f926(f926(a1,a1),f926(a1,f925(a1,a1))),a1),f8(a1,f925(a1,a1),a1)),f334(f334(f8(a1,f926(a1,f925(a1,a1)),a1),f266(a1,a1)),f334(f334(f7(a1,a1,a1),f334(f334(f8(a1,f926(a1,a1),a1),f23(a1)),f88(a1))),f87(a1))))),f334(f23(a1),f334(f84(a1),x104112))))),f62(x104111,x104112)))),f55(x104111,x104112))
% 164.74/165.09 [10412]~P30(a5000)+P22(a914,x104121,f334(f334(f316(f918(a914)),f334(f334(f334(f100(a914),a331),x104122),f204(x104122))),f198(f926(f918(a914),a913))))+~P22(a914,x104121,f334(f334(f316(f918(a914)),f334(f334(f334(f100(a914),f334(f334(f8(f926(a914,f926(a914,a913)),f926(a914,a913),a914),f334(f8(f926(a914,a913),a913,a914),f97(a914))),f334(f334(f8(f926(a914,a913),f926(a914,f926(a914,a913)),a914),f334(f7(a914,f926(a914,a913),f926(a914,a913)),f334(f334(f8(f926(a914,f926(a913,a913)),f926(f926(a914,a913),f926(a914,a913)),a914),f18(a914,a913,a913)),f334(f334(f8(f926(a914,a913),f926(a914,f926(a913,a913)),a914),f334(f8(a913,f926(a913,a913),a914),a337)),f204(x104122))))),a331))),x104122),a331)),f198(f926(f918(a914),a913))))
% 164.74/165.09 [5856]~P122(x58561)+~P97(x58561)+E(f334(f84(x58561),f334(f334(f258(x58561),f334(f116(x58561),a110)),x58562)),f87(x58561))
% 164.74/165.09 [6351]~P142(x63511)+~P107(f334(f334(f249(a1),x63512),f2(a1)))+E(f334(f88(x63511),f334(f113(x63511),f334(a117,f334(f88(a1),x63512)))),f334(f115(x63511),x63512))
% 164.74/165.09 [6549]P107(f334(f334(f248(a112),x65491),f87(a112)))+E(f334(f334(f89(a112),f87(a112)),f280(x65491,f334(f334(f45(a112),x65492),x65491))),f280(x65491,x65492))+P107(f334(f334(f249(a112),x65492),x65491))
% 164.74/165.09 [7145]~P96(x71451)+~P107(f334(f334(f336(x71451),x71452),f122(x71451)))+~E(f334(f334(f89(x71451),f334(f334(f89(x71451),f87(x71451)),x71452)),x71452),f2(x71451))
% 164.74/165.09 [7260]~P107(f334(f334(f248(a1),x72602),f2(a1)))+~P107(f334(f334(f249(a1),x72601),f2(a1)))+E(f334(f265(a1,a1),f334(a60,f56(f334(f88(a1),x72601),f334(f88(a1),x72602)))),f334(f334(f45(a1),x72601),x72602))
% 164.74/165.09 [7278]~P107(f334(f334(f248(a1),x72782),f2(a1)))+~P107(f334(f334(f249(a1),x72781),f2(a1)))+E(f334(f269(a1,a1),f334(a60,f56(f334(f88(a1),x72781),f334(f88(a1),x72782)))),f54(a1,x72781,x72782))
% 164.74/165.09 [7284]~P107(f334(f334(f249(a1),x72842),f2(a1)))+E(f334(f265(a1,a1),f334(a60,f59(f334(f88(a1),x72841),f334(f88(a1),x72842)))),f334(f334(f45(a1),x72841),x72842))+~P107(f334(f334(f249(a1),f2(a1)),x72841))
% 164.74/165.09 [7302]~P107(f334(f334(f249(a1),x73022),f2(a1)))+E(f334(f269(a1,a1),f334(a60,f59(f334(f88(a1),x73021),f334(f88(a1),x73022)))),f54(a1,x73021,x73022))+~P107(f334(f334(f249(a1),f2(a1)),x73021))
% 164.74/165.09 [7356]E(f334(f334(f45(a1),f334(f334(f258(a1),x73561),x73562)),x73561),f334(f334(f258(a1),x73561),f334(f334(f23(a919),x73562),f334(a125,f2(a919)))))+~P107(f334(f334(f249(a919),f2(a919)),x73562))+~P107(f334(f334(f249(a1),f2(a1)),x73561))
% 164.74/165.09 [7454]~P107(f334(f334(f249(a919),f2(a919)),x74541))+~P107(f334(f334(f249(a919),f2(a919)),x74542))+P107(f334(f334(f249(a919),f334(f334(f23(a919),x74541),x74542)),x74541))
% 164.74/165.09 [7455]~P107(f334(f334(f249(a919),f2(a919)),x74551))+~P107(f334(f334(f249(a919),f87(a919)),x74552))+P107(f334(f334(f249(a919),f334(f334(f45(a919),x74551),x74552)),x74551))
% 164.74/165.09 [7456]~P107(f334(f334(f249(a1),f2(a1)),x74561))+~P107(f334(f334(f249(a1),f87(a1)),x74562))+P107(f334(f334(f249(a1),f334(f334(f45(a1),x74561),x74562)),x74561))
% 164.74/165.09 [7595]E(x75951,f2(a919))+~E(x75952,f2(a1))+~P107(f334(f334(f249(a1),f2(a1)),f334(f334(f258(a1),f334(f84(a1),x75952)),x75951)))
% 164.74/165.09 [8013]~E(x80132,f126(f920(x80131)))+E(f334(f199(f920(f920(x80131))),f189(x80131,x80132)),f2(a919))+~P12(a919,f334(f178(a919),f334(f334(f164(f920(x80131),a919),f199(f920(x80131))),x80132)))
% 164.74/165.09 [8266]P107(f334(x82661,x82662))+~P107(f334(x82661,f334(a120,f622(x82661,x82662))))+~P107(f334(f334(f336(f926(f925(a919,a919),a913)),x82662),a111))
% 164.74/165.09 [8284]E(x82841,f126(f920(x82842)))+E(f334(f199(f920(x82842)),f334(f334(f174(f920(x82842)),x82841),f2(a919))),f334(f199(f920(f920(x82842))),f189(x82842,x82841)))+~P12(a919,f334(f178(a919),f334(f334(f164(f920(x82842),a919),f199(f920(x82842))),x82841)))
% 164.74/165.09 [9008]~P107(f334(f70(x90081),f334(f254(x90081),x90082)))+~P107(f334(f70(x90081),f256(f926(x90081,a913))))+P107(f334(f70(x90081),f334(f254(x90081),f334(f334(f8(a913,a913,x90081),a329),x90082))))
% 164.74/165.09 [9076]E(f334(f334(f266(a919,a919),f334(a125,f334(f334(f45(a919),f334(f334(f23(a919),x90761),x90762)),x90762))),f54(a919,f334(f334(f23(a919),x90761),x90762),x90762)),f94(f925(a919,a919),f57(x90761,x90762)))+~P107(f334(f334(f249(a919),f2(a919)),x90762))+~P107(f334(f334(f248(a919),x90762),x90761))
% 164.74/165.09 [9367]~P107(f334(f70(x93671),f334(f254(x93671),x93672)))+P107(f334(f70(x93671),f256(f926(x93671,a913))))+~P107(f334(f70(x93671),f334(f254(x93671),f334(f334(f8(a913,a913,x93671),a329),x93672))))
% 164.74/165.09 [10114]P25(x101141,x101142)+~P38(x101141,f334(f265(f926(f925(x101141,x101141),a913),f926(f925(x101141,x101141),a913)),x101142))+~P107(f334(f334(f248(f926(f925(x101141,x101141),a913)),f334(f334(f296(x101141,x101141,x101141),f334(f265(f926(f925(x101141,x101141),a913),f926(f925(x101141,x101141),a913)),x101142)),f334(f269(f926(f925(x101141,x101141),a913),f926(f925(x101141,x101141),a913)),x101142))),f334(f265(f926(f925(x101141,x101141),a913),f926(f925(x101141,x101141),a913)),x101142)))
% 164.74/165.09 [7383]~P107(f334(f334(f249(a919),f2(a919)),x73832))+P107(f334(f334(f249(a919),x73831),x73832))+E(f334(a125,f334(f334(f45(a919),f334(f334(f23(a919),x73831),x73832)),x73832)),f334(f334(f45(a919),x73831),x73832))
% 164.74/165.09 [7520]~P107(f334(f334(f249(a919),f2(a919)),x75202))+~P107(f334(f334(f248(a919),x75202),x75201))+E(f334(a125,f334(f334(f45(a919),f334(f334(f23(a919),x75201),x75202)),x75202)),f334(f334(f45(a919),x75201),x75202))
% 164.74/165.09 [8488]~P97(x84881)+~P96(x84881)+~P27(x84881,f334(f116(x84881),f334(f334(f23(a1),f334(f334(f89(a1),x84882),x84882)),a110)))
% 164.74/165.09 [9277]E(x92771,f2(a919))+E(f334(f334(f270(a919,a919,f925(a919,a919)),f334(f334(f8(a919,f926(a919,f925(a919,a919)),a919),f266(a919,a919)),a125)),f94(f925(a919,a919),f57(f334(f334(f23(a919),x92772),x92771),x92771))),f94(f925(a919,a919),f57(x92772,x92771)))+P107(f334(f334(f249(a919),x92772),x92771))
% 164.74/165.09 [9725]P107(f334(x97252,f700(x97252,x97251)))+P107(f334(x97251,f700(x97252,x97251)))+E(f334(f254(a1),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f248(a1),f2(a1)))),x97251)),f334(f254(a1),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f248(a1),f2(a1)))),x97252)))
% 164.74/165.09 [9729]~P107(f334(x97292,f700(x97292,x97291)))+~P107(f334(x97291,f700(x97292,x97291)))+E(f334(f254(a1),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f248(a1),f2(a1)))),x97291)),f334(f254(a1),f334(f334(f18(a1,a913,a913),f334(f334(f8(a913,f926(a913,a913),a1),a333),f334(f248(a1),f2(a1)))),x97292)))
% 164.74/165.09 [7728]~P97(x77281)+~P66(x77281)+E(f334(f334(f297(x77281),x77282),f334(f116(x77281),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))),x77282)
% 164.74/165.09 [9405]~P97(x94051)+~E(f334(f116(x94051),x94052),f87(x94051))+P27(x94051,f334(f116(x94051),f334(f334(f89(a1),x94052),f334(f88(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))
% 164.74/165.09 [9592]~P141(x95921)+~E(x95922,f87(x95921))+E(f334(f334(f258(x95921),x95922),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f87(x95921))
% 164.74/165.09 [9593]~P141(x95931)+~E(x95932,f2(x95931))+E(f334(f334(f258(x95931),x95932),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f2(x95931))
% 164.74/165.09 [9608]~P141(x96081)+~E(x96082,f334(f88(x96081),f87(x96081)))+E(f334(f334(f258(x96081),x96082),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f87(x96081))
% 164.74/165.09 [9652]~P97(x96521)+E(f334(f116(x96521),x96522),f87(x96521))+~P27(x96521,f334(f116(x96521),f334(f334(f89(a1),x96522),f334(f88(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))
% 164.74/165.09 [10049]~P122(x100492)+E(x100491,f2(x100492))+P107(f334(f334(f249(x100492),f2(x100492)),f334(f334(f258(x100492),x100491),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))))
% 164.74/165.09 [10113]~P122(x101132)+~E(x101131,f2(x101132))+~P107(f334(f334(f249(x101132),f2(x101132)),f334(f334(f258(x101132),x101131),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))))
% 164.74/165.09 [10138]P107(f334(f334(f248(a1),x101381),f2(a1)))+P107(f334(f334(f249(a1),x101382),x101381))+E(f334(f52(x101381),f56(x101382,f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x101381))),f56(x101382,x101381))
% 164.74/165.09 [10139]~P107(f334(f334(f249(a1),f2(a1)),x101391))+P107(f334(f334(f249(a1),x101392),x101391))+E(f334(f52(x101391),f56(x101392,f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x101391))),f56(x101392,x101391))
% 164.74/165.09 [10140]P107(f334(f334(f248(a1),x101401),f2(a1)))+P107(f334(f334(f248(a1),f2(a1)),f334(f334(f89(a1),x101402),x101401)))+E(f334(f52(x101401),f59(x101402,f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x101401))),f59(x101402,x101401))
% 164.74/165.09 [10141]~P107(f334(f334(f249(a1),f2(a1)),x101411))+P107(f334(f334(f248(a1),f2(a1)),f334(f334(f89(a1),x101412),x101411)))+E(f334(f52(x101411),f59(x101412,f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x101411))),f59(x101412,x101411))
% 164.74/165.09 [10142]~P146(x101421)+~P107(f334(f334(f248(a1),f2(a1)),x101422))+E(f334(f113(x101421),f334(a117,f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x101422))),f334(f334(f89(x101421),f334(f113(x101421),f334(a117,x101422))),f334(f113(x101421),f334(a117,x101422))))
% 164.74/165.09 [5202]~P147(x52021,x52022,x52023)+~E(x52023,f2(a1))+P107(f334(x52021,x52022))
% 164.74/165.09 [5318]~E(f629(x53181,x53183,x53182),x53183)+E(f94(x53181,x53182),x53183)+~P107(f334(x53182,x53183))
% 164.74/165.09 [5324]~P110(x53241)+~P12(x53241,x53243)+P12(x53241,f180(x53241,x53242,x53243))
% 164.74/165.09 [5325]~P110(x53251)+~P12(x53251,x53253)+P12(x53251,f187(x53251,x53252,x53253))
% 164.74/165.09 [4907]~P71(x49072)+~E(x49073,f334(f88(x49072),x49071))+E(x49071,f334(f88(x49072),x49073))
% 164.74/165.09 [4909]~P71(x49091)+~E(f334(f88(x49091),x49093),x49092)+E(f334(f88(x49091),x49092),x49093)
% 164.74/165.09 [4985]~P71(x49853)+E(x49851,x49852)+~E(f334(f88(x49853),x49851),f334(f88(x49853),x49852))
% 164.74/165.09 [4986]~P86(x49863)+E(x49861,x49862)+~E(f334(f88(x49863),x49861),f334(f88(x49863),x49862))
% 164.74/165.09 [4987]~P110(x49873)+E(x49871,x49872)+~E(f334(f290(x49873),x49871),f334(f290(x49873),x49872))
% 164.74/165.09 [4988]~P104(x49883)+E(x49881,x49882)+~E(f334(f113(x49883),x49881),f334(f113(x49883),x49882))
% 164.74/165.09 [4989]~P96(x49893)+E(x49891,x49892)+~E(f334(f115(x49893),x49891),f334(f115(x49893),x49892))
% 164.74/165.09 [4990]~P110(x49903)+E(x49901,x49902)+~E(f334(f311(x49903),x49901),f334(f311(x49903),x49902))
% 164.74/165.09 [4991]~P110(x49913)+E(x49911,x49912)+~E(f334(f291(x49913),x49911),f334(f291(x49913),x49912))
% 164.74/165.09 [4992]~P110(x49923)+E(x49921,x49922)+~E(f334(f308(x49923),x49921),f334(f308(x49923),x49922))
% 164.74/165.09 [5091]~P2(x50911)+~P107(f334(x50912,x50913))+P107(f334(f65(x50911),x50912))
% 164.74/165.09 [5123]~P2(x51233)+P107(f334(x51231,x51232))+~P107(f334(f66(x51233),x51231))
% 164.74/165.09 [5221]~P148(x52211,x52213,x52212)+~E(x52212,f2(a1))+P107(f334(x52211,f2(a1)))
% 164.74/165.09 [5260]~E(x52601,f2(a919))+E(f450(x52601,x52602,x52603),f198(f926(x52603,a913)))+~E(f334(f44(x52603),x52602),f334(a125,x52601))
% 164.74/165.09 [5413]~E(x54132,f2(a919))+E(f334(f265(a919,a919),x54131),f2(a919))+~P107(f334(f57(x54133,x54132),x54131))
% 164.74/165.09 [5457]P107(f334(x54571,x54572))+~E(x54573,f334(f113(a1),x54572))+~P107(f334(x54571,f334(a117,x54573)))
% 164.74/165.09 [5921]~E(x59213,f2(a919))+~P107(f334(x59211,x59212))+P107(f334(x59211,f54(a919,x59212,x59213)))
% 164.74/165.09 [5980]E(f94(x59801,x59802),x59803)+~P107(f334(x59802,x59803))+P107(f334(x59802,f629(x59801,x59803,x59802)))
% 164.74/165.09 [6053]~P107(f334(a27,x60533))+~P107(f334(a27,x60532))+P107(f334(a27,f31(x60531,x60532,x60533)))
% 164.74/165.09 [6149]~P105(x61492)+~P105(x61491)+E(f141(x61491,x61492,f142(x61491,x61493),f142(x61492,x61493)),f142(f925(x61491,x61492),x61493))
% 164.74/165.09 [6333]~E(x63333,f2(a919))+P107(f334(x63331,x63332))+~P107(f334(x63331,f54(a919,x63332,x63333)))
% 164.74/165.09 [7004]E(x70041,f2(a919))+~P107(f334(x70042,f525(x70041,x70043,x70042)))+P107(f334(x70042,f54(a919,x70043,x70041)))
% 164.74/165.09 [7111]~P3(x71111)+~P107(f334(f334(f248(x71111),x71112),f371(x71113,x71112,x71111)))+P107(f334(f334(f248(x71111),x71112),f47(x71111,x71113)))
% 164.74/165.09 [7113]~P107(f334(x71131,x71132))+~P107(f334(x71131,f525(x71133,x71132,x71131)))+P107(f334(x71131,f54(a919,x71132,x71133)))
% 164.74/165.09 [7216]E(x72161,f126(x72162))+E(f334(f334(f161(x72162),f751(x72163,x72161,x72162)),f754(x72163,x72161,x72162)),x72161)+~P107(f334(f334(f336(f920(x72162)),x72161),f171(x72162,x72163)))
% 164.74/165.09 [7246]~P142(x72461)+~P107(f334(f334(f336(x72461),x72462),f122(x72461)))+P107(f334(f334(f336(x72461),f334(f334(f258(x72461),x72462),x72463)),f122(x72461)))
% 164.74/165.09 [7566]P38(x75661,x75662)+~P107(f334(f334(f336(x75661),x75663),f362(x75662,x75661)))+P107(f334(f334(f336(x75661),f368(x75662,x75661,x75663)),f362(x75662,x75661)))
% 164.74/165.09 [7833]E(x78331,f126(x78332))+~P107(f334(f334(f336(f920(x78332)),x78331),f171(x78332,x78333)))+P107(f334(f334(f336(f920(x78332)),f754(x78333,x78331,x78332)),f171(x78332,x78333)))
% 164.74/165.09 [7885]E(x78851,f2(a919))+E(f334(f334(f89(a919),f334(f334(f90(a919),x78851),f526(x78851,x78852,x78853))),f525(x78851,x78852,x78853)),x78852)+P107(f334(x78853,f54(a919,x78852,x78851)))
% 164.74/165.09 [7929]~P107(f334(x79293,x79292))+E(f334(f334(f89(a919),f334(f334(f90(a919),x79291),f526(x79291,x79292,x79293))),f525(x79291,x79292,x79293)),x79292)+P107(f334(x79293,f54(a919,x79292,x79291)))
% 164.74/165.09 [8069]P107(f334(f334(f249(a1),x80691),f512(x80692,x80693,x80691)))+P107(f334(f334(x80693,f334(f334(f45(a1),x80692),x80691)),f54(a1,x80692,x80691)))+~P107(f334(f334(f249(a1),x80691),f2(a1)))
% 164.74/165.09 [8340]P107(f334(f334(x83402,f334(f334(f45(a1),x83401),x83403)),f54(a1,x83401,x83403)))+~P107(f334(f334(f249(a1),x83403),f2(a1)))+P107(f334(f334(f248(a1),f512(x83401,x83402,x83403)),f2(a1)))
% 164.74/165.09 [8523]E(f334(f334(f89(a1),f334(f334(f90(a1),x85231),f513(x85232,x85233,x85231))),f512(x85232,x85233,x85231)),x85232)+P107(f334(f334(x85233,f334(f334(f45(a1),x85232),x85231)),f54(a1,x85232,x85231)))+~P107(f334(f334(f249(a1),x85231),f2(a1)))
% 164.74/165.09 [8774]~P107(f334(f334(x87741,f513(x87742,x87741,x87743)),f512(x87742,x87741,x87743)))+P107(f334(f334(x87741,f334(f334(f45(a1),x87742),x87743)),f54(a1,x87742,x87743)))+~P107(f334(f334(f249(a1),x87743),f2(a1)))
% 164.74/165.09 [9021]~P110(x90211)+~P12(x90211,x90213)+P12(x90211,f159(x90211,x90211,f5(x90211),x90212,x90213))
% 164.74/165.09 [9538]~P127(x95382)+E(x95381,f2(x95382))+~P107(f334(f334(f248(x95382),f334(f334(f89(x95382),f334(f334(f90(x95382),x95383),x95383)),f334(f334(f90(x95382),x95381),x95381))),f2(x95382)))
% 164.74/165.09 [9539]~P127(x95392)+E(x95391,f2(x95392))+~P107(f334(f334(f248(x95392),f334(f334(f89(x95392),f334(f334(f90(x95392),x95391),x95391)),f334(f334(f90(x95392),x95393),x95393))),f2(x95392)))
% 164.74/165.09 [10343]~P122(x103431)+~P107(f334(f334(f249(x103431),x103432),f2(x103431)))+P107(f334(f334(f249(x103431),f334(f334(f258(x103431),x103432),f334(a125,f334(f334(f90(a919),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x103433)))),f2(x103431)))
% 164.74/165.09 [10353]~P122(x103532)+E(x103531,f2(x103532))+~P107(f334(f334(f248(x103532),f334(f334(f89(x103532),f334(f334(f258(x103532),x103533),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f334(f258(x103532),x103531),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))),f2(x103532)))
% 164.74/165.09 [10354]~P122(x103542)+E(x103541,f2(x103542))+~P107(f334(f334(f248(x103542),f334(f334(f89(x103542),f334(f334(f258(x103542),x103541),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f334(f258(x103542),x103543),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))),f2(x103542)))
% 164.74/165.09 [4940]~E(x49402,x49403)+~P63(x49401)+E(f334(f334(f23(x49401),x49402),x49403),f2(x49401))
% 164.74/165.09 [4941]~E(x49412,x49413)+~P71(x49411)+E(f334(f334(f23(x49411),x49412),x49413),f2(x49411))
% 164.74/165.09 [4954]~P144(x49541)+~E(x49543,f2(x49541))+E(f334(f334(f89(x49541),x49542),x49543),x49542)
% 164.74/165.09 [4971]~P143(x49711)+~E(x49713,f2(x49711))+E(f334(f334(f90(x49711),x49712),x49713),f2(x49711))
% 164.74/165.09 [4972]~P143(x49721)+~E(x49722,f2(x49721))+E(f334(f334(f90(x49721),x49722),x49723),f2(x49721))
% 164.74/165.09 [4994]~E(x49943,f126(x49941))+~E(x49942,f126(x49941))+E(f334(f334(f144(x49941),x49942),x49943),f126(x49941))
% 164.74/165.09 [5081]~P144(x50812)+E(x50811,f2(x50812))+~E(f334(f334(f89(x50812),x50813),x50811),x50813)
% 164.74/165.09 [5082]~P71(x50821)+~E(x50822,f334(f88(x50821),x50823))+E(f334(f334(f89(x50821),x50822),x50823),f2(x50821))
% 164.74/165.09 [5089]E(x50891,f126(x50892))+E(x50893,f2(a919))+~E(f334(f334(f185(x50892),x50893),x50891),f126(x50892))
% 164.74/165.09 [5095]~P63(x50953)+E(x50951,x50952)+~E(f334(f334(f23(x50953),x50951),x50952),f2(x50953))
% 164.74/165.09 [5096]~P71(x50963)+E(x50961,x50962)+~E(f334(f334(f23(x50963),x50961),x50962),f2(x50963))
% 164.74/165.09 [5105]~P141(x51052)+E(x51051,f2(x51052))+~E(f334(f334(f258(x51052),x51051),x51053),f2(x51052))
% 164.74/165.09 [5106]~P85(x51062)+E(x51061,f198(x51062))+~E(f334(f334(f123(x51062),x51063),x51061),f198(x51062))
% 164.74/165.09 [5107]~P85(x51072)+E(x51071,f198(x51072))+~E(f334(f334(f123(x51072),x51071),x51073),f198(x51072))
% 164.74/165.09 [5108]~P84(x51082)+E(x51081,f256(x51082))+~E(f334(f334(f114(x51082),x51083),x51081),f256(x51082))
% 164.74/165.09 [5109]~P84(x51092)+E(x51091,f256(x51092))+~E(f334(f334(f114(x51092),x51091),x51093),f256(x51092))
% 164.74/165.09 [5174]~P71(x51742)+E(x51741,f334(f88(x51742),x51743))+~E(f334(f334(f89(x51742),x51741),x51743),f2(x51742))
% 164.74/165.09 [5175]~P71(x51751)+E(f334(f88(x51751),x51752),x51753)+~E(f334(f334(f89(x51751),x51752),x51753),f2(x51751))
% 164.74/165.09 [5177]~E(x51772,x51773)+~P108(x51771)+P107(f334(f334(f248(x51771),x51772),x51773))
% 164.74/165.09 [5179]~E(x51792,x51793)+~P111(x51791)+P107(f334(f334(f248(x51791),x51792),x51793))
% 164.74/165.09 [5275]~P114(x52751)+~E(x52752,f334(f88(x52751),x52753))+E(f334(f334(f90(x52751),x52752),x52752),f334(f334(f90(x52751),x52753),x52753))
% 164.74/165.09 [5283]~P110(x52831)+~P12(x52831,x52833)+P12(x52831,f334(f334(f185(x52831),x52832),x52833))
% 164.74/165.09 [5284]~P110(x52841)+~P12(x52841,x52843)+P12(x52841,f334(f334(f148(x52841),x52842),x52843))
% 164.74/165.09 [5322]E(x53221,x53222)+E(x53223,f2(a919))+~E(f334(f334(f90(a919),x53223),x53221),f334(f334(f90(a919),x53223),x53222))
% 164.74/165.09 [5323]E(x53231,x53232)+E(x53233,f2(a919))+~E(f334(f334(f90(a919),x53231),x53233),f334(f334(f90(a919),x53232),x53233))
% 164.74/165.09 [5406]~E(x54062,x54063)+~P111(x54061)+E(f310(x54061,x54062,x54063),f334(f334(f316(x54061),x54062),f198(f926(x54061,a913))))
% 164.74/165.09 [5455]~E(x54551,x54552)+~P110(x54553)+~P107(f334(f334(f249(x54553),x54551),x54552))
% 164.74/165.09 [5456]~E(x54561,x54562)+~P111(x54563)+~P107(f334(f334(f249(x54563),x54561),x54562))
% 164.74/165.09 [5467]~P111(x54671)+E(f334(f309(x54671,x54672),x54673),f198(f926(x54671,a913)))+P107(f334(f334(f249(x54671),x54672),x54673))
% 164.74/165.09 [5511]~P111(x55111)+E(f312(x55111,x55112,x55113),f198(f926(x55111,a913)))+P107(f334(f334(f249(x55111),x55112),x55113))
% 164.74/165.09 [5512]~P111(x55121)+E(f310(x55121,x55122,x55123),f198(f926(x55121,a913)))+P107(f334(f334(f248(x55121),x55122),x55123))
% 164.74/165.09 [5513]~P111(x55131)+E(f198(f926(x55131,a913)),f312(x55131,x55132,x55133))+P107(f334(f334(f249(x55131),x55132),x55133))
% 164.74/165.09 [5514]~P111(x55141)+E(f198(f926(x55141,a913)),f310(x55141,x55142,x55143))+P107(f334(f334(f248(x55141),x55142),x55143))
% 164.74/165.09 [5521]~P102(x55211)+~E(f334(f334(f123(x55211),x55212),x55213),x55213)+P107(f334(f334(f248(x55211),x55212),x55213))
% 164.74/165.09 [5522]~P103(x55221)+~E(f334(f334(f114(x55221),x55222),x55223),x55222)+P107(f334(f334(f248(x55221),x55222),x55223))
% 164.74/165.09 [5523]~P110(x55231)+~E(f334(f334(f246(x55231),x55232),x55233),x55232)+P107(f334(f334(f248(x55231),x55232),x55233))
% 164.74/165.09 [5524]~P110(x55241)+~E(f334(f334(f247(x55241),x55242),x55243),x55243)+P107(f334(f334(f248(x55241),x55242),x55243))
% 164.74/165.09 [5543]~P110(x55431)+P12(x55431,x55432)+~P12(x55431,f334(f334(f161(x55431),x55433),x55432))
% 164.74/165.09 [5544]~P110(x55441)+P12(x55441,x55442)+~P12(x55441,f334(f334(f144(x55441),x55443),x55442))
% 164.74/165.09 [5545]~P110(x55451)+P12(x55451,x55452)+~P12(x55451,f334(f334(f144(x55451),x55452),x55453))
% 164.74/165.09 [5607]~P110(x56071)+P107(f334(f334(f248(x56071),x56073),x56072))+P107(f334(f334(f248(x56071),x56072),x56073))
% 164.74/165.09 [5612]~P110(x56121)+P107(f334(f334(f249(x56121),x56123),x56122))+P107(f334(f334(f248(x56121),x56122),x56123))
% 164.74/165.09 [5650]~P102(x56501)+E(f334(f334(f123(x56501),x56502),x56503),x56502)+~P107(f334(f334(f248(x56501),x56503),x56502))
% 164.74/165.09 [5652]~P102(x56521)+E(f334(f334(f123(x56521),x56522),x56523),x56523)+~P107(f334(f334(f248(x56521),x56522),x56523))
% 164.74/165.09 [5653]~P103(x56531)+E(f334(f334(f114(x56531),x56532),x56533),x56533)+~P107(f334(f334(f248(x56531),x56533),x56532))
% 164.74/165.09 [5655]~P103(x56551)+E(f334(f334(f114(x56551),x56552),x56553),x56552)+~P107(f334(f334(f248(x56551),x56552),x56553))
% 164.74/165.09 [5656]~P110(x56561)+E(f334(f334(f246(x56561),x56562),x56563),x56563)+~P107(f334(f334(f248(x56561),x56563),x56562))
% 164.74/165.09 [5658]~P110(x56581)+E(f334(f334(f246(x56581),x56582),x56583),x56582)+~P107(f334(f334(f248(x56581),x56582),x56583))
% 164.74/165.09 [5659]~P110(x56591)+E(f334(f334(f247(x56591),x56592),x56593),x56592)+~P107(f334(f334(f248(x56591),x56593),x56592))
% 164.74/165.09 [5661]~P110(x56611)+E(f334(f334(f247(x56611),x56612),x56613),x56613)+~P107(f334(f334(f248(x56611),x56612),x56613))
% 164.74/165.09 [5668]~P120(x56682)+E(x56681,f2(x56682))+E(f334(f334(f297(x56682),f334(f88(x56682),x56683)),f334(f88(x56682),x56681)),f334(f334(f297(x56682),x56683),x56681))
% 164.74/165.09 [5715]~P111(x57151)+E(f334(f309(x57151,x57152),x57153),f198(f926(x57151,a913)))+~P107(f334(f334(f248(x57151),x57153),x57152))
% 164.74/165.09 [5747]~P111(x57471)+E(f313(x57471,x57472,x57473),f198(f926(x57471,a913)))+~P107(f334(f334(f248(x57471),x57473),x57472))
% 164.74/165.09 [5748]~P111(x57481)+E(f312(x57481,x57482,x57483),f198(f926(x57481,a913)))+~P107(f334(f334(f248(x57481),x57483),x57482))
% 164.74/165.09 [5749]~P111(x57491)+E(f310(x57491,x57492,x57493),f198(f926(x57491,a913)))+~P107(f334(f334(f249(x57491),x57493),x57492))
% 164.74/165.09 [5799]~E(f334(f334(f23(a919),x57991),x57993),x57992)+E(x57991,f334(f334(f89(a919),x57992),x57993))+~P107(f334(f334(f248(a919),x57993),x57991))
% 164.74/165.09 [5800]~E(x58001,f334(f334(f89(a919),x58003),x58002))+E(f334(f334(f23(a919),x58001),x58002),x58003)+~P107(f334(f334(f248(a919),x58002),x58001))
% 164.74/165.09 [5845]~P107(f334(x58451,x58453))+P107(f334(x58451,f497(x58451,x58452)))+~P107(f334(f334(f249(a919),x58453),x58452))
% 164.74/165.09 [5846]~P107(f334(x58461,x58463))+P107(f334(x58461,f522(x58461,x58462)))+~P107(f334(f334(f248(a919),x58463),x58462))
% 164.74/165.09 [5854]~P111(x58541)+~E(f334(f309(x58541,x58542),x58543),f198(f926(x58541,a913)))+~P107(f334(f334(f249(x58541),x58542),x58543))
% 164.74/165.09 [5859]~P108(x58591)+~P107(f334(f334(f249(x58591),x58592),x58593))+P107(f334(f334(f248(x58591),x58592),x58593))
% 164.74/165.09 [5861]~P111(x58611)+~P107(f334(f334(f249(x58611),x58612),x58613))+P107(f334(f334(f248(x58611),x58612),x58613))
% 164.74/165.09 [5970]~P111(x59701)+~E(f312(x59701,x59702,x59703),f198(f926(x59701,a913)))+~P107(f334(f334(f249(x59701),x59702),x59703))
% 164.74/165.09 [5971]~P111(x59711)+~E(f310(x59711,x59712,x59713),f198(f926(x59711,a913)))+~P107(f334(f334(f248(x59711),x59712),x59713))
% 164.74/165.09 [5972]~P111(x59721)+~E(f198(f926(x59721,a913)),f312(x59721,x59722,x59723))+~P107(f334(f334(f249(x59721),x59722),x59723))
% 164.74/165.09 [5973]~P111(x59731)+~E(f198(f926(x59731,a913)),f310(x59731,x59732,x59733))+~P107(f334(f334(f248(x59731),x59732),x59733))
% 164.74/165.09 [5982]P107(f334(x59821,x59822))+~P107(f334(x59821,f498(x59821,x59823)))+~P107(f334(f334(f249(a919),x59822),x59823))
% 164.74/165.09 [5983]P107(f334(x59831,x59832))+~P107(f334(x59831,f523(x59831,x59833)))+~P107(f334(f334(f248(a919),x59832),x59833))
% 164.74/165.09 [5991]~E(x59911,f334(a125,x59913))+P107(f334(f334(f249(a919),x59911),f334(a125,x59912)))+~P107(f334(f334(f249(a919),x59913),x59912))
% 164.74/165.09 [6007]E(x60071,x60072)+~E(f334(f334(f90(a919),x60073),x60071),f334(f334(f90(a919),x60073),x60072))+~P107(f334(f334(f249(a919),f2(a919)),x60073))
% 164.74/165.09 [6064]E(f334(x60641,f457(x60641,x60642,x60643)),f87(a919))+~E(f334(f334(f6(x60643,a919),x60641),x60642),f87(a919))+~P107(f334(f70(x60643),x60642))
% 164.74/165.09 [6079]~P3(x60791)+P107(f334(f334(f248(x60791),x60792),f46(x60791,x60793)))+~P107(f334(f334(f336(x60791),x60792),x60793))
% 164.74/165.09 [6103]~P108(x61031)+~P107(f334(f334(f249(x61031),x61033),x61032))+~P107(f334(f334(f248(x61031),x61032),x61033))
% 164.74/165.09 [6107]~P108(x61071)+~P107(f334(f334(f249(x61071),x61073),x61072))+~P107(f334(f334(f249(x61071),x61072),x61073))
% 164.74/165.09 [6110]~P110(x61101)+~P107(f334(f334(f249(x61101),x61103),x61102))+~P107(f334(f334(f248(x61101),x61102),x61103))
% 164.74/165.09 [6111]~P110(x61111)+~P107(f334(f334(f249(x61111),x61113),x61112))+~P107(f334(f334(f249(x61111),x61112),x61113))
% 164.74/165.09 [6112]~P111(x61121)+~P107(f334(f334(f249(x61121),x61123),x61122))+~P107(f334(f334(f249(x61121),x61122),x61123))
% 164.74/165.09 [6141]~E(f334(x61412,f458(x61412,x61413,x61411)),f2(a919))+E(f334(f334(f6(x61411,a919),x61412),x61413),f2(a919))+~P107(f334(f70(x61411),x61413))
% 164.74/165.09 [6142]~E(f334(x61422,f524(x61422,x61423,x61421)),f87(a919))+E(f334(f334(f9(x61421,a919),x61422),x61423),f87(a919))+~P107(f334(f70(x61421),x61423))
% 164.74/165.09 [6158]~P109(x61581)+~P107(f334(f334(f249(x61581),x61583),x61582))+P107(f334(f334(f336(x61581),x61582),f334(f311(x61581),x61583)))
% 164.74/165.09 [6159]~P109(x61591)+~P107(f334(f334(f248(x61591),x61593),x61592))+P107(f334(f334(f336(x61591),x61592),f334(f291(x61591),x61593)))
% 164.74/165.09 [6160]~P109(x61601)+~P107(f334(f334(f249(x61601),x61602),x61603))+P107(f334(f334(f336(x61601),x61602),f334(f290(x61601),x61603)))
% 164.74/165.09 [6161]~P109(x61611)+~P107(f334(f334(f248(x61611),x61612),x61613))+P107(f334(f334(f336(x61611),x61612),f334(f308(x61611),x61613)))
% 164.74/165.09 [6173]E(f334(x61731,f459(x61731,x61732,x61733)),f334(a125,f2(a919)))+~E(f334(f334(f6(x61733,a919),x61731),x61732),f334(a125,f2(a919)))+~P107(f334(f70(x61733),x61732))
% 164.74/165.09 [6255]~P3(x62551)+~P107(f334(f334(f336(x62551),x62553),x62552))+P107(f334(f334(f248(x62551),f47(x62551,x62552)),x62553))
% 164.74/165.09 [6274]~P107(f334(f334(f248(a919),x62741),x62743))+P107(f334(f334(f248(a919),x62741),x62742))+~P107(f334(f334(f248(a919),x62743),x62742))
% 164.74/165.09 [6275]~P107(f334(f334(f248(a1),x62751),x62753))+P107(f334(f334(f248(a1),x62751),x62752))+~P107(f334(f334(f248(a1),x62753),x62752))
% 164.74/165.09 [6294]~P109(x62941)+~P107(f334(f334(f336(x62941),x62943),f334(f291(x62941),x62942)))+P107(f334(f334(f248(x62941),x62942),x62943))
% 164.74/165.09 [6295]~P109(x62951)+~P107(f334(f334(f336(x62951),x62952),f334(f308(x62951),x62953)))+P107(f334(f334(f248(x62951),x62952),x62953))
% 164.74/165.09 [6296]~P109(x62961)+~P107(f334(f334(f336(x62961),x62963),f334(f311(x62961),x62962)))+P107(f334(f334(f249(x62961),x62962),x62963))
% 164.74/165.09 [6297]~P109(x62971)+~P107(f334(f334(f336(x62971),x62972),f334(f290(x62971),x62973)))+P107(f334(f334(f249(x62971),x62972),x62973))
% 164.74/165.09 [6376]~P107(f334(x63761,x63762))+P107(f334(x63761,f836(x63761)))+~P107(f334(f334(f336(x63763),x63762),f256(f926(x63763,a913))))
% 164.74/165.09 [6415]P107(f334(x64151,x64152))+~P107(f334(x64151,f883(x64151)))+~P107(f334(f334(f336(x64153),x64152),f256(f926(x64153,a913))))
% 164.74/165.09 [6513]~P67(x65131)+P107(f334(f334(f249(x65131),f2(x65131)),f604(x65133,x65132,x65131)))+P107(f334(f334(f248(x65131),x65132),x65133))
% 164.74/165.09 [6514]~P68(x65141)+P107(f334(f334(f249(x65141),f2(x65141)),f826(x65143,x65142,x65141)))+P107(f334(f334(f248(x65141),x65142),x65143))
% 164.74/165.09 [6584]~P79(x65841)+~P107(f334(f334(f248(x65841),x65843),f334(f88(x65841),x65842)))+P107(f334(f334(f248(x65841),x65842),f334(f88(x65841),x65843)))
% 164.74/165.09 [6586]~P79(x65861)+~P107(f334(f334(f249(x65861),x65863),f334(f88(x65861),x65862)))+P107(f334(f334(f249(x65861),x65862),f334(f88(x65861),x65863)))
% 164.74/165.09 [6598]~P107(f334(f334(f249(a919),x65981),x65983))+~P107(f334(f334(f249(a919),x65983),x65982))+P107(f334(f334(f249(a919),f334(a125,x65981)),x65982))
% 164.74/165.09 [6624]~P125(x66241)+P107(f334(f334(f248(x66241),f334(f113(x66241),x66242)),f334(f113(x66241),x66243)))+~P107(f334(f334(f248(a919),x66242),x66243))
% 164.74/165.09 [6625]~P122(x66251)+P107(f334(f334(f248(x66251),f334(f115(x66251),x66252)),f334(f115(x66251),x66253)))+~P107(f334(f334(f248(a1),x66252),x66253))
% 164.74/165.09 [6627]~P122(x66271)+P107(f334(f334(f249(x66271),f334(f115(x66271),x66272)),f334(f115(x66271),x66273)))+~P107(f334(f334(f249(a1),x66272),x66273))
% 164.74/165.09 [6628]~P125(x66281)+P107(f334(f334(f249(x66281),f334(f113(x66281),x66282)),f334(f113(x66281),x66283)))+~P107(f334(f334(f249(a919),x66282),x66283))
% 164.74/165.09 [6634]~P110(x66341)+E(f334(f334(f123(f926(x66341,a913)),f334(f290(x66341),x66342)),f334(f309(x66341,x66342),x66343)),f334(f290(x66341),x66343))+~P107(f334(f334(f248(x66341),x66342),x66343))
% 164.74/165.09 [6664]~P79(x66641)+~P107(f334(f334(f248(x66641),x66643),x66642))+P107(f334(f334(f248(x66641),f334(f88(x66641),x66642)),f334(f88(x66641),x66643)))
% 164.74/165.09 [6666]~P86(x66661)+~P107(f334(f334(f248(x66661),x66663),x66662))+P107(f334(f334(f248(x66661),f334(f88(x66661),x66662)),f334(f88(x66661),x66663)))
% 164.74/165.09 [6667]~P79(x66671)+~P107(f334(f334(f249(x66671),x66673),x66672))+P107(f334(f334(f249(x66671),f334(f88(x66671),x66672)),f334(f88(x66671),x66673)))
% 164.74/165.09 [6701]~P110(x67011)+E(f334(f334(f123(f926(x67011,a913)),f334(f290(x67011),x67012)),f310(x67011,x67012,x67013)),f334(f308(x67011),x67013))+~P107(f334(f334(f248(x67011),x67012),x67013))
% 164.74/165.09 [6702]~P110(x67021)+E(f334(f334(f123(f926(x67021,a913)),f334(f308(x67021),x67022)),f313(x67021,x67022,x67023)),f334(f290(x67021),x67023))+~P107(f334(f334(f249(x67021),x67022),x67023))
% 164.74/165.09 [6703]~P110(x67031)+E(f334(f334(f123(f926(x67031,a913)),f334(f308(x67031),x67032)),f312(x67031,x67032,x67033)),f334(f308(x67031),x67033))+~P107(f334(f334(f248(x67031),x67032),x67033))
% 164.74/165.09 [6738]~P110(x67381)+E(f334(f334(f123(f926(x67381,a913)),f334(f309(x67381,x67382),x67383)),f334(f291(x67381),x67383)),f334(f291(x67381),x67382))+~P107(f334(f334(f248(x67381),x67382),x67383))
% 164.74/165.09 [6889]~P110(x68891)+E(f334(f334(f123(f926(x68891,a913)),f313(x68891,x68892,x68893)),f334(f291(x68891),x68893)),f334(f311(x68891),x68892))+~P107(f334(f334(f249(x68891),x68892),x68893))
% 164.74/165.09 [6890]~P110(x68901)+E(f334(f334(f123(f926(x68901,a913)),f312(x68901,x68902,x68903)),f334(f311(x68901),x68903)),f334(f311(x68901),x68902))+~P107(f334(f334(f248(x68901),x68902),x68903))
% 164.74/165.09 [6891]~P110(x68911)+E(f334(f334(f123(f926(x68911,a913)),f310(x68911,x68912,x68913)),f334(f311(x68911),x68913)),f334(f291(x68911),x68912))+~P107(f334(f334(f248(x68911),x68912),x68913))
% 164.74/165.09 [6909]P107(f334(x69091,x69092))+~P107(f334(f334(f248(a919),x69092),x69093))+P107(f334(f334(f336(a919),f523(x69091,x69093)),f310(a919,f2(a919),x69093)))
% 164.74/165.09 [6943]E(x69431,x69432)+~E(f334(f334(f174(x69433),x69431),f717(x69433,x69432,x69431)),f334(f334(f174(x69433),x69432),f717(x69433,x69432,x69431)))+~E(f334(f199(f920(x69433)),x69431),f334(f199(f920(x69433)),x69432))
% 164.74/165.09 [6948]~E(x69483,f334(f334(f45(a919),x69481),x69482))+~P107(f334(f334(f249(a919),f2(a919)),x69482))+P107(f334(f334(f249(a919),x69481),f334(f334(f90(a919),x69482),f334(a125,x69483))))
% 164.74/165.09 [6965]~P107(f334(x69651,x69653))+~P107(f334(f334(f248(a919),x69653),x69652))+P107(f334(f334(f336(a919),f522(x69651,x69652)),f310(a919,f2(a919),x69652)))
% 164.74/165.09 [7002]~P107(f334(x70021,x70023))+P107(f334(x70021,f553(x70021,x70022)))+~P107(f334(f334(f336(a919),x70023),f310(a919,f2(a919),x70022)))
% 164.74/165.09 [7020]~P125(x70203)+~P107(f334(f334(f248(x70203),f334(f113(x70203),x70201)),f334(f113(x70203),x70202)))+P107(f334(f334(f248(a919),x70201),x70202))
% 164.74/165.09 [7021]~P122(x70213)+~P107(f334(f334(f248(x70213),f334(f115(x70213),x70211)),f334(f115(x70213),x70212)))+P107(f334(f334(f248(a1),x70211),x70212))
% 164.74/165.09 [7023]~P125(x70233)+~P107(f334(f334(f249(x70233),f334(f113(x70233),x70231)),f334(f113(x70233),x70232)))+P107(f334(f334(f249(a919),x70231),x70232))
% 164.74/165.09 [7024]~P122(x70243)+~P107(f334(f334(f249(x70243),f334(f115(x70243),x70241)),f334(f115(x70243),x70242)))+P107(f334(f334(f249(a1),x70241),x70242))
% 164.74/165.09 [7041]~P125(x70411)+~P107(f334(f334(f249(x70411),f87(x70411)),x70412))+P107(f334(f334(f249(x70411),f87(x70411)),f334(f334(f258(x70411),x70412),f334(a125,x70413))))
% 164.74/165.09 [7043]~P79(x70431)+~P107(f334(f334(f248(x70431),f334(f88(x70431),x70433)),f334(f88(x70431),x70432)))+P107(f334(f334(f248(x70431),x70432),x70433))
% 164.74/165.09 [7044]~P86(x70441)+~P107(f334(f334(f248(x70441),f334(f88(x70441),x70443)),f334(f88(x70441),x70442)))+P107(f334(f334(f248(x70441),x70442),x70443))
% 164.74/165.09 [7045]~P79(x70451)+~P107(f334(f334(f249(x70451),f334(f88(x70451),x70453)),f334(f88(x70451),x70452)))+P107(f334(f334(f249(x70451),x70452),x70453))
% 164.74/165.09 [7070]P107(f334(x70701,x70702))+~P107(f334(x70701,f540(x70701,x70703)))+~P107(f334(f334(f336(a919),x70702),f310(a919,f2(a919),x70703)))
% 164.74/165.09 [7089]~P67(x70891)+P107(f334(f334(f249(x70891),f604(x70893,x70892,x70891)),f87(x70891)))+P107(f334(f334(f248(x70891),x70892),x70893))
% 164.74/165.09 [7108]~E(f54(a919,x71083,x71082),f54(a919,x71081,x71082))+E(f334(f334(f89(a919),x71081),f334(f334(f90(a919),x71082),f630(x71081,x71082,x71083))),x71083)+~P107(f334(f334(f248(a919),x71081),x71083))
% 164.74/165.09 [7164]E(f334(f334(f6(x71641,a919),x71642),x71643),f2(a919))+~P107(f334(f70(x71641),x71643))+P107(f334(f334(f336(x71641),f458(x71642,x71643,x71641)),x71643))
% 164.74/165.09 [7165]E(f334(f334(f9(x71651,a919),x71652),x71653),f87(a919))+~P107(f334(f70(x71651),x71653))+P107(f334(f334(f336(x71651),f524(x71652,x71653,x71651)),x71653))
% 164.74/165.09 [7187]~P110(x71871)+~P107(f334(f334(f248(x71871),x71872),x71873))+P107(f334(f334(f248(f926(x71871,a913)),f334(f290(x71871),x71872)),f334(f290(x71871),x71873)))
% 164.74/165.09 [7188]~P110(x71881)+~P107(f334(f334(f248(x71881),x71883),x71882))+P107(f334(f334(f248(f926(x71881,a913)),f334(f311(x71881),x71882)),f334(f311(x71881),x71883)))
% 164.74/165.09 [7189]~P111(x71891)+~P107(f334(f334(f248(x71891),x71893),x71892))+P107(f334(f334(f248(f926(x71891,a913)),f334(f291(x71891),x71892)),f334(f291(x71891),x71893)))
% 164.74/165.09 [7190]~P111(x71901)+~P107(f334(f334(f248(x71901),x71902),x71903))+P107(f334(f334(f248(f926(x71901,a913)),f334(f308(x71901),x71902)),f334(f308(x71901),x71903)))
% 164.74/165.09 [7191]~P110(x71911)+~P107(f334(f334(f249(x71911),x71912),x71913))+P107(f334(f334(f249(f926(x71911,a913)),f334(f290(x71911),x71912)),f334(f290(x71911),x71913)))
% 164.74/165.09 [7202]~P3(x72021)+P107(f334(f334(f248(x72021),x72022),f47(x72021,x72023)))+P107(f334(f334(f336(x72021),f371(x72023,x72022,x72021)),x72023))
% 164.74/165.09 [7208]~P79(x72081)+P107(f334(f334(f248(x72081),f334(f334(f23(x72081),x72082),x72083)),f2(x72081)))+~P107(f334(f334(f248(x72081),x72082),x72083))
% 164.74/165.09 [7209]~P79(x72091)+P107(f334(f334(f249(x72091),f334(f334(f23(x72091),x72092),x72093)),f2(x72091)))+~P107(f334(f334(f249(x72091),x72092),x72093))
% 164.74/165.09 [7250]P107(f334(x72501,x72502))+P107(f334(f334(f248(a919),f540(x72501,x72503)),x72503))+~P107(f334(f334(f336(a919),x72502),f310(a919,f2(a919),x72503)))
% 164.74/165.09 [7291]~E(f334(f334(f6(x72911,a919),x72912),x72913),f87(a919))+~P107(f334(f70(x72911),x72913))+P107(f334(f334(f336(x72911),f457(x72912,x72913,x72911)),x72913))
% 164.74/165.09 [7292]~P107(f334(x72921,x72923))+P107(f334(f334(f248(a919),f553(x72921,x72922)),x72922))+~P107(f334(f334(f336(a919),x72923),f310(a919,f2(a919),x72922)))
% 164.74/165.09 [7333]~P3(x73331)+P107(f334(f334(f336(x73331),f383(x73333,x73332,x73331)),x73332))+P107(f334(f334(f248(x73331),f46(x73331,x73332)),x73333))
% 164.74/165.09 [7365]~E(f334(f334(f6(x73651,a919),x73652),x73653),f334(a125,f2(a919)))+~P107(f334(f70(x73651),x73653))+P107(f334(f334(f336(x73651),f459(x73652,x73653,x73651)),x73653))
% 164.74/165.09 [7376]E(x73761,f2(a919))+P107(f334(x73762,f54(a919,x73763,x73761)))+P107(f334(f334(f249(a919),f525(x73761,x73763,x73762)),x73761))
% 164.74/165.09 [7483]~P107(f334(x74831,x74832))+P107(f334(x74831,f54(a919,x74832,x74833)))+P107(f334(f334(f249(a919),f525(x74833,x74832,x74831)),x74833))
% 164.74/165.09 [7599]E(x75991,f126(x75992))+~P107(f334(f334(f336(f920(x75992)),x75991),f171(x75992,x75993)))+P107(f334(f334(f336(x75992),f751(x75993,x75991,x75992)),x75993))
% 164.74/165.09 [7621]~P110(x76211)+E(f334(f334(f123(f926(x76211,a913)),f334(f334(f316(x76211),x76212),f198(f926(x76211,a913)))),f313(x76211,x76212,x76213)),f334(f309(x76211,x76212),x76213))+~P107(f334(f334(f249(x76211),x76212),x76213))
% 164.74/165.09 [7644]~P110(x76441)+E(f334(f334(f123(f926(x76441,a913)),f334(f334(f316(x76441),x76442),f198(f926(x76441,a913)))),f312(x76441,x76442,x76443)),f310(x76441,x76442,x76443))+~P107(f334(f334(f248(x76441),x76442),x76443))
% 164.74/165.09 [7750]~P110(x77501)+P107(f334(f334(f248(x77501),x77502),x77503))+~P107(f334(f334(f248(f926(x77501,a913)),f334(f311(x77501),x77503)),f334(f311(x77501),x77502)))
% 164.74/165.09 [7751]~P111(x77511)+P107(f334(f334(f248(x77511),x77512),x77513))+~P107(f334(f334(f248(f926(x77511,a913)),f334(f291(x77511),x77513)),f334(f291(x77511),x77512)))
% 164.74/165.09 [7752]~P110(x77521)+P107(f334(f334(f248(x77521),x77522),x77523))+~P107(f334(f334(f248(f926(x77521,a913)),f334(f290(x77521),x77522)),f334(f290(x77521),x77523)))
% 164.74/165.09 [7753]~P111(x77531)+P107(f334(f334(f248(x77531),x77532),x77533))+~P107(f334(f334(f248(f926(x77531,a913)),f334(f308(x77531),x77532)),f334(f308(x77531),x77533)))
% 164.74/165.09 [7754]~P110(x77541)+P107(f334(f334(f249(x77541),x77542),x77543))+~P107(f334(f334(f249(f926(x77541,a913)),f334(f290(x77541),x77542)),f334(f290(x77541),x77543)))
% 164.74/165.09 [7777]~P79(x77771)+~P107(f334(f334(f248(x77771),f334(f334(f23(x77771),x77772),x77773)),f2(x77771)))+P107(f334(f334(f248(x77771),x77772),x77773))
% 164.74/165.09 [7778]~P79(x77781)+~P107(f334(f334(f249(x77781),f334(f334(f23(x77781),x77782),x77783)),f2(x77781)))+P107(f334(f334(f249(x77781),x77782),x77783))
% 164.74/165.09 [7936]E(x79361,f2(a919))+~E(f334(f152(a919,a919,f89(a919),x79362),x79363),f2(a919))+~P107(f334(f334(f336(a919),x79361),f334(f182(a919),x79363)))
% 164.74/165.09 [7940]~P3(x79401)+~P107(f334(f334(f248(x79401),f383(x79403,x79402,x79401)),x79403))+P107(f334(f334(f248(x79401),f46(x79401,x79402)),x79403))
% 164.74/165.09 [8094]P107(f334(f334(f248(a1),f2(a1)),f514(x80941,x80942,x80943)))+P107(f334(f334(x80942,f334(f334(f45(a1),x80941),x80943)),f54(a1,x80941,x80943)))+~P107(f334(f334(f249(a1),f2(a1)),x80943))
% 164.74/165.09 [8187]E(x81871,x81872)+~E(f334(f199(f920(x81873)),x81871),f334(f199(f920(x81873)),x81872))+~P107(f334(f334(f270(x81873,x81873,a913),a331),f726(x81873,x81871,x81872)))
% 164.74/165.09 [8257]~P38(x82572,x82573)+E(x82571,f198(f926(x82572,a913)))+~P107(f334(f334(f248(f926(x82572,a913)),x82571),f334(f293(x82572,x82572,x82573),x82571)))
% 164.74/165.09 [8286]~P68(x82861)+~P107(f334(f334(f248(x82861),x82862),f334(f334(f89(x82861),x82863),f826(x82863,x82862,x82861))))+P107(f334(f334(f248(x82861),x82862),x82863))
% 164.74/165.09 [8322]P41(x83221,x83222,x83223)+P107(f334(f334(f336(x83221),f416(x83223,x83222,x83221)),x83222))+P107(f334(f334(f336(f925(x83221,x83221)),f417(x83223,x83222,x83221)),x83223))
% 164.74/165.09 [8343]P107(f334(f334(x83432,f334(f334(f45(a1),x83431),x83433)),f54(a1,x83431,x83433)))+~P107(f334(f334(f249(a1),f2(a1)),x83433))+P107(f334(f334(f249(a1),f514(x83431,x83432,x83433)),x83433))
% 164.74/165.09 [8368]E(f334(f317(a919,a919,f334(f334(f7(a919,a919,a919),f23(a919)),x83681)),f334(f309(a919,x83682),x83683)),f198(f926(a919,a913)))+P107(f334(f334(f249(a919),x83681),x83683))+P107(f334(f334(f249(a919),x83682),x83683))
% 164.74/165.09 [8477]E(f334(f317(a919,a919,f334(f334(f7(a919,a919,a919),f23(a919)),x84771)),f334(f309(a919,x84772),x84773)),f334(f334(f316(a919),f2(a919)),f198(f926(a919,a913))))+P107(f334(f334(f249(a919),x84771),x84773))+~P107(f334(f334(f249(a919),x84772),x84773))
% 164.74/165.09 [8491]~P110(x84911)+E(f159(x84911,x84911,f5(x84911),x84912,x84913),x84913)+~P107(f334(f334(f336(x84911),x84912),f334(f182(x84911),x84913)))
% 164.74/165.09 [8504]P23(x85041,x85041,x85042,x85043)+~P107(f334(f70(x85041),x85043))+~P107(f334(f334(f248(f926(x85041,a913)),x85043),f334(f317(x85041,x85041,x85042),x85043)))
% 164.74/165.09 [8530]E(f334(f334(f89(a1),f334(f334(f90(a1),x85301),f515(x85302,x85303,x85301))),f514(x85302,x85303,x85301)),x85302)+P107(f334(f334(x85303,f334(f334(f45(a1),x85302),x85301)),f54(a1,x85302,x85301)))+~P107(f334(f334(f249(a1),f2(a1)),x85301))
% 164.74/165.09 [8781]~P107(f334(f334(x87811,f515(x87812,x87811,x87813)),f514(x87812,x87811,x87813)))+P107(f334(f334(x87811,f334(f334(f45(a1),x87812),x87813)),f54(a1,x87812,x87813)))+~P107(f334(f334(f249(a1),f2(a1)),x87813))
% 164.74/165.09 [9685]~P107(f334(f70(x96851),x96852))+~P107(f334(f334(f336(x96851),x96853),x96852))+P107(f334(f334(f249(a919),f334(f44(x96851),f334(f334(f23(f926(x96851,a913)),x96852),f334(f334(f316(x96851),x96853),f198(f926(x96851,a913)))))),f334(f44(x96851),x96852)))
% 164.74/165.09 [10292]P41(x102921,x102922,x102923)+~P107(f334(f334(f270(x102921,x102921,a913),f334(f334(f7(x102921,f926(x102921,a913),f926(x102921,a913)),f334(f334(f8(f926(a913,a913),f926(f926(x102921,a913),f926(x102921,a913)),x102921),f8(a913,a913,x102921)),f334(f334(f8(a913,f926(a913,a913),x102921),a333),f334(f334(f7(x102921,f926(x102921,a913),a913),f336(x102921)),x102922)))),f334(f334(f7(x102921,f926(x102921,a913),a913),f336(x102921)),x102922))),f417(x102923,x102922,x102921)))+P107(f334(f334(f336(x102921),f416(x102923,x102922,x102921)),x102922))
% 164.74/165.09 [5629]~P120(x56292)+E(x56291,f2(x56292))+E(f334(f334(f297(x56292),x56293),f334(f88(x56292),x56291)),f334(f88(x56292),f334(f334(f297(x56292),x56293),x56291)))
% 164.74/165.09 [5763]~E(x57633,f198(f926(x57631,a913)))+~E(x57632,f198(f926(x57631,a913)))+E(f334(f334(f123(f926(x57631,a913)),x57632),x57633),f198(f926(x57631,a913)))
% 164.74/165.09 [5819]~E(x58193,f2(a919))+~P107(f334(x58191,f2(a919)))+P107(f334(x58191,f334(f334(f45(a919),x58192),x58193)))
% 164.74/165.09 [5962]~P68(x59622)+E(x59621,f2(x59622))+E(f334(f334(f297(x59622),f334(f84(x59622),x59623)),f334(f84(x59622),x59621)),f334(f84(x59622),f334(f334(f297(x59622),x59623),x59621)))
% 164.74/165.09 [6130]~P107(f334(f70(x61301),x61303))+E(f334(f44(x61301),f334(f334(f316(x61301),x61302),x61303)),f334(a125,f334(f44(x61301),x61303)))+P107(f334(f334(f336(x61301),x61302),x61303))
% 164.74/165.09 [6205]~E(x62052,f2(a919))+P107(f334(x62051,f2(a919)))+~P107(f334(x62051,f334(f334(f45(a919),x62053),x62052)))
% 164.74/165.09 [6222]~P107(f334(f70(x62221),x62223))+E(f334(f44(x62221),f334(f334(f316(x62221),x62222),x62223)),f334(f44(x62221),x62223))+~P107(f334(f334(f336(x62221),x62222),x62223))
% 164.74/165.09 [6257]~P107(f334(f70(x62571),x62573))+E(f334(f44(x62571),f334(f334(f316(x62571),x62572),x62573)),f334(f334(f89(a919),f87(a919)),f334(f44(x62571),x62573)))+P107(f334(f334(f336(x62571),x62572),x62573))
% 164.74/165.09 [6377]E(f334(f334(f89(a919),x63771),f460(x63771,x63772,x63773)),x63772)+~P107(f334(x63773,f2(a919)))+P107(f334(x63773,f334(f334(f23(a919),x63772),x63771)))
% 164.74/165.09 [6378]E(f334(f334(f89(a919),x63781),f461(x63781,x63782,x63783)),x63782)+~P107(f334(x63783,f2(a919)))+P107(f334(x63783,f334(f334(f23(a919),x63782),x63781)))
% 164.74/165.09 [6425]~P3(x64251)+~P107(f334(f70(x64251),x64253))+E(f334(f334(f73(x64251,x64251,f123(x64251)),x64252),x64253),f334(f334(f123(x64251),x64252),f46(x64251,x64253)))
% 164.74/165.09 [6426]~P3(x64261)+~P107(f334(f70(x64261),x64263))+E(f334(f334(f73(x64261,x64261,f114(x64261)),x64262),x64263),f334(f334(f114(x64261),x64262),f47(x64261,x64263)))
% 164.74/165.09 [6432]~P97(x64321)+~E(f334(f116(x64321),x64322),f334(f116(x64321),x64323))+P27(x64321,f334(f116(x64321),f334(f334(f89(a1),x64322),f334(f88(a1),x64323))))
% 164.74/165.09 [6439]~P142(x64391)+E(f334(f334(f23(x64391),f334(f113(x64391),x64392)),f334(f113(x64391),x64393)),f334(f113(x64391),f334(f334(f23(a919),x64392),x64393)))+~P107(f334(f334(f248(a919),x64393),x64392))
% 164.74/165.09 [6524]E(f334(f334(f89(a919),x65241),f460(x65241,x65242,x65243)),x65242)+P107(f334(f334(f249(a919),x65242),x65241))+P107(f334(x65243,f334(f334(f23(a919),x65242),x65241)))
% 164.74/165.09 [6525]E(f334(f334(f89(a919),x65251),f461(x65251,x65252,x65253)),x65252)+P107(f334(f334(f249(a919),x65252),x65251))+P107(f334(x65253,f334(f334(f23(a919),x65252),x65251)))
% 164.74/165.09 [6541]~P122(x65411)+E(f334(f334(f90(x65411),f334(f84(x65411),x65412)),x65413),f334(f84(x65411),f334(f334(f90(x65411),x65412),x65413)))+~P107(f334(f334(f248(x65411),f2(x65411)),x65413))
% 164.74/165.09 [6542]~P67(x65421)+E(f334(f334(f297(x65421),f334(f84(x65421),x65422)),x65423),f334(f84(x65421),f334(f334(f297(x65421),x65422),x65423)))+~P107(f334(f334(f249(x65421),f2(x65421)),x65423))
% 164.74/165.09 [6550]~P83(x65501)+~P107(f334(f70(x65501),x65503))+E(f334(f334(f73(x65501,x65501,f123(x65501)),x65502),x65503),f10(x65501,f334(f334(f316(x65501),x65502),x65503)))
% 164.74/165.09 [6551]~P83(x65511)+~P107(f334(f70(x65511),x65513))+E(f334(f334(f73(x65511,x65511,f114(x65511)),x65512),x65513),f11(x65511,f334(f334(f316(x65511),x65512),x65513)))
% 164.74/165.09 [6552]~P110(x65521)+~P107(f334(f70(x65521),x65523))+E(f334(f334(f73(x65521,x65521,f246(x65521)),x65522),x65523),f14(x65521,f334(f334(f316(x65521),x65522),x65523)))
% 164.74/165.09 [6553]~P110(x65531)+~P107(f334(f70(x65531),x65533))+E(f334(f334(f73(x65531,x65531,f247(x65531)),x65532),x65533),f15(x65531,f334(f334(f316(x65531),x65532),x65533)))
% 164.74/165.09 [6600]E(x66001,f126(x66002))+~E(f189(x66002,x66003),f126(f920(x66002)))+~P107(f334(f334(f336(f920(x66002)),x66001),f334(f182(f920(x66002)),x66003)))
% 164.74/165.09 [6642]~P107(f334(f147(x66421),x66423))+P107(f334(f334(f336(x66421),x66422),f334(f182(x66421),x66423)))+P107(f334(f147(x66421),f334(f334(f161(x66421),x66422),x66423)))
% 164.74/165.09 [6653]~P99(x66531)+~P107(f334(f70(x66531),x66533))+E(f334(f72(x66531,f90(x66531)),f334(f334(f316(x66531),x66532),x66533)),f334(f334(f73(x66531,x66531,f90(x66531)),x66532),x66533))
% 164.74/165.09 [6675]~P110(x66751)+~P107(f334(f70(x66751),x66753))+E(f12(x66751,f246(x66751),f334(f334(f316(x66751),x66752),x66753)),f334(f334(f73(x66751,x66751,f246(x66751)),x66752),x66753))
% 164.74/165.09 [6676]~P110(x66761)+~P107(f334(f70(x66761),x66763))+E(f13(x66761,f247(x66761),f334(f334(f316(x66761),x66762),x66763)),f334(f334(f73(x66761,x66761,f247(x66761)),x66762),x66763))
% 164.74/165.09 [6678]P107(f334(x66781,f2(a919)))+~P107(f334(f334(f249(a919),x66782),x66783))+~P107(f334(x66781,f334(f334(f23(a919),x66782),x66783)))
% 164.74/165.09 [6699]~P91(x66991)+P107(f334(f334(f248(x66991),x66992),x66993))+~P107(f334(f334(f248(x66991),f334(f84(x66991),x66992)),x66993))
% 164.74/165.09 [6700]~P122(x67001)+P107(f334(f334(f249(x67001),x67002),x67003))+~P107(f334(f334(f249(x67001),f334(f84(x67001),x67002)),x67003))
% 164.74/165.09 [6717]E(x67171,f126(x67172))+E(f334(f151(x67172),f334(f334(f148(x67172),x67173),x67171)),f334(f334(f174(x67172),x67171),x67173))+~P107(f334(f334(f249(a919),x67173),f334(f199(f920(x67172)),x67171)))
% 164.74/165.09 [6769]~P107(f334(x67691,x67693))+P107(f334(x67691,f502(x67691,x67692)))+~P107(f334(f334(f336(a919),x67693),f334(f309(a919,f2(a919)),x67692)))
% 164.74/165.09 [6790]P107(f334(x67901,x67902))+~P107(f334(f334(f249(a919),x67902),x67903))+P107(f334(f334(f336(a919),f498(x67901,x67903)),f334(f309(a919,f2(a919)),x67903)))
% 164.74/165.09 [6805]~P125(x68051)+~P107(f334(f334(f248(x68051),f87(x68051)),x68052))+P107(f334(f334(f248(x68051),f87(x68051)),f334(f334(f258(x68051),x68052),x68053)))
% 164.74/165.09 [6807]~P125(x68071)+~P107(f334(f334(f248(x68071),f2(x68071)),x68072))+P107(f334(f334(f248(x68071),f2(x68071)),f334(f334(f258(x68071),x68072),x68073)))
% 164.74/165.09 [6809]~P125(x68091)+~P107(f334(f334(f249(x68091),f2(x68091)),x68092))+P107(f334(f334(f249(x68091),f2(x68091)),f334(f334(f258(x68091),x68092),x68093)))
% 164.74/165.09 [6834]~P107(f334(x68341,x68343))+~P107(f334(f334(f249(a919),x68343),x68342))+P107(f334(f334(f336(a919),f497(x68341,x68342)),f334(f309(a919,f2(a919)),x68342)))
% 164.74/165.09 [6841]P107(f334(f70(x68411),x68412))+~P107(f334(f70(x68411),x68413))+~P107(f334(f334(f248(f926(x68411,a913)),x68412),x68413))
% 164.74/165.09 [6848]P107(f334(x68481,x68482))+~P107(f334(x68481,f499(x68481,x68483)))+~P107(f334(f334(f336(a919),x68482),f334(f309(a919,f2(a919)),x68483)))
% 164.74/165.09 [6859]E(x68591,f2(a919))+P107(f334(x68592,f509(x68591,x68593,x68592)))+~P107(f334(x68592,f334(f334(f45(a919),x68593),x68591)))
% 164.74/165.09 [6866]~P127(x68662)+E(x68661,f2(x68662))+~E(f334(f334(f89(x68662),f334(f334(f90(x68662),x68663),x68663)),f334(f334(f90(x68662),x68661),x68661)),f2(x68662))
% 164.74/165.09 [6867]~P127(x68672)+E(x68671,f2(x68672))+~E(f334(f334(f89(x68672),f334(f334(f90(x68672),x68671),x68671)),f334(f334(f90(x68672),x68673),x68673)),f2(x68672))
% 164.74/165.09 [6910]E(x69101,f2(a919))+~P107(f334(x69102,f510(x69101,x69103,x69102)))+P107(f334(x69102,f334(f334(f45(a919),x69103),x69101)))
% 164.74/165.09 [6915]~P110(x69151)+~P12(x69151,x69153)+P12(x69151,f334(f334(f158(x69151,x69151,f5(x69151)),x69152),x69153))
% 164.74/165.09 [6958]P107(f334(x69581,f509(x69582,x69583,x69581)))+P107(f334(x69581,f2(a919)))+~P107(f334(x69581,f334(f334(f45(a919),x69583),x69582)))
% 164.74/165.09 [6964]~P97(x69641)+E(f334(f116(x69641),x69642),f334(f116(x69641),x69643))+~P27(x69641,f334(f116(x69641),f334(f334(f89(a1),x69642),f334(f88(a1),x69643))))
% 164.74/165.09 [7027]E(x70271,f2(a1))+E(x70272,f2(a1))+~P107(f334(f58(x70272,x70272),f334(f334(f266(a1,a1),x70273),x70271)))
% 164.74/165.09 [7028]E(x70281,f87(a1))+E(x70282,f2(a1))+~P107(f334(f58(x70282,x70282),f334(f334(f266(a1,a1),x70281),x70283)))
% 164.74/165.09 [7042]P107(f334(x70421,x70422))+P107(f334(f334(f249(a919),f499(x70421,x70423)),x70423))+~P107(f334(f334(f336(a919),x70422),f334(f309(a919,f2(a919)),x70423)))
% 164.74/165.09 [7066]~P107(f334(x70661,f460(x70663,x70662,x70661)))+~P107(f334(x70661,f2(a919)))+P107(f334(x70661,f334(f334(f23(a919),x70662),x70663)))
% 164.74/165.09 [7067]~P107(f334(x70671,f461(x70673,x70672,x70671)))+~P107(f334(x70671,f2(a919)))+P107(f334(x70671,f334(f334(f23(a919),x70672),x70673)))
% 164.74/165.09 [7068]~P107(f334(x70681,f510(x70683,x70682,x70681)))+~P107(f334(x70681,f2(a919)))+P107(f334(x70681,f334(f334(f45(a919),x70682),x70683)))
% 164.74/165.09 [7085]~P107(f334(x70851,x70853))+P107(f334(f334(f249(a919),f502(x70851,x70852)),x70852))+~P107(f334(f334(f336(a919),x70853),f334(f309(a919,f2(a919)),x70852)))
% 164.74/165.09 [7086]E(f334(f334(f23(a919),f334(f334(f23(a919),x70861),x70862)),f334(f334(f23(a919),x70863),x70862)),f334(f334(f23(a919),x70861),x70863))+~P107(f334(f334(f248(a919),x70862),x70861))+~P107(f334(f334(f248(a919),x70862),x70863))
% 164.74/165.09 [7121]~P79(x71211)+~P107(f334(f334(f248(x71211),f334(f88(x71211),x71213)),x71212))+P107(f334(f334(f248(x71211),f334(f88(x71211),x71212)),x71213))
% 164.74/165.09 [7123]~P91(x71231)+~P107(f334(f334(f248(x71231),f334(f84(x71231),x71232)),x71233))+P107(f334(f334(f248(x71231),f334(f88(x71231),x71232)),x71233))
% 164.74/165.09 [7125]~P79(x71251)+~P107(f334(f334(f249(x71251),f334(f88(x71251),x71253)),x71252))+P107(f334(f334(f249(x71251),f334(f88(x71251),x71252)),x71253))
% 164.74/165.09 [7126]~P122(x71261)+~P107(f334(f334(f249(x71261),f334(f84(x71261),x71262)),x71263))+P107(f334(f334(f249(x71261),f334(f88(x71261),x71262)),x71263))
% 164.74/165.09 [7160]~P107(f334(x71603,f460(x71602,x71601,x71603)))+P107(f334(f334(f249(a919),x71601),x71602))+P107(f334(x71603,f334(f334(f23(a919),x71601),x71602)))
% 164.74/165.09 [7161]~P107(f334(x71613,f461(x71612,x71611,x71613)))+P107(f334(f334(f249(a919),x71611),x71612))+P107(f334(x71613,f334(f334(f23(a919),x71611),x71612)))
% 164.74/165.09 [7212]~E(f385(x72123,x72122,x72121),f386(x72123,x72122,x72121))+E(f334(f334(f114(f926(x72121,a913)),x72122),f46(f926(x72121,a913),x72123)),f198(f926(x72121,a913)))+P107(f334(f334(f336(f926(x72121,a913)),x72122),x72123))
% 164.74/165.09 [7220]~P107(f334(f70(x72201),x72203))+P107(f334(f70(x72201),f47(f926(x72201,a913),x72202)))+~P107(f334(f334(f336(f926(x72201,a913)),x72203),x72202))
% 164.74/165.09 [7280]~P110(x72801)+E(f334(f334(f123(f926(x72801,a913)),f334(f309(x72801,x72802),x72803)),f334(f334(f316(x72801),x72803),f198(f926(x72801,a913)))),f310(x72801,x72802,x72803))+~P107(f334(f334(f248(x72801),x72802),x72803))
% 164.74/165.09 [7281]E(x72811,f2(a919))+P107(f334(f334(f249(a919),f511(x72811,x72813,x72812)),x72811))+P107(f334(x72812,f334(f334(f45(a919),x72813),x72811)))
% 164.74/165.09 [7310]P107(f334(f334(f249(a919),f334(f199(f920(x73101)),x73102)),f838(x73103,x73101)))+~P107(f334(f70(f920(x73101)),x73103))+~P107(f334(f334(f336(f920(x73101)),x73102),x73103))
% 164.74/165.09 [7316]E(x73161,x73162)+~P107(f334(f334(f248(f926(x73163,a913)),x73161),x73162))+P107(f334(f334(f249(f926(x73163,a913)),x73161),x73162))
% 164.74/165.09 [7330]E(x73301,x73302)+~E(f334(f199(f920(x73303)),x73301),f334(f199(f920(x73303)),x73302))+P107(f334(f334(f249(a919),f717(x73303,x73301,x73302)),f334(f199(f920(x73303)),x73302)))
% 164.74/165.09 [7377]P6(x73771,x73772,x73773)+~E(f334(f264(x73771,x73771),x73773),x73772)+~E(f334(f334(f296(x73771,x73771,x73771),f334(f294(x73771,x73771),x73773)),x73773),x73773)
% 164.74/165.09 [7453]~P107(f334(x74531,f2(a919)))+P107(f334(f334(f249(a919),f511(x74533,x74532,x74531)),x74533))+P107(f334(x74531,f334(f334(f45(a919),x74532),x74533)))
% 164.74/165.09 [7462]~P110(x74621)+E(f334(f334(f123(f926(x74621,a913)),f313(x74621,x74622,x74623)),f334(f334(f316(x74621),x74623),f198(f926(x74621,a913)))),f312(x74621,x74622,x74623))+~P107(f334(f334(f249(x74621),x74622),x74623))
% 164.74/165.09 [7555]~P107(f334(f70(x75551),x75553))+P107(f334(f334(f248(a919),f334(f44(x75551),x75552)),f334(f44(x75551),x75553)))+~P107(f334(f334(f248(f926(x75551,a913)),x75552),x75553))
% 164.74/165.09 [7556]~P107(f334(f70(x75561),x75563))+P107(f334(f334(f249(a919),f334(f44(x75561),x75562)),f334(f44(x75561),x75563)))+~P107(f334(f334(f249(f926(x75561,a913)),x75562),x75563))
% 164.74/165.09 [7593]~P107(f334(x75933,x75932))+P107(f334(f334(f204(x75931),x75932),f443(x75932,x75931,x75933)))+~P107(f334(f334(f204(f33(x75933,x75931)),x75932),x75932))
% 164.74/165.09 [7687]E(x76871,x76872)+~P107(f334(f334(f248(f926(x76873,a913)),x76872),x76871))+~P107(f334(f334(f248(f926(x76873,a913)),x76871),x76872))
% 164.74/165.09 [7690]~P110(x76901)+P12(x76901,x76902)+~P12(x76901,f334(f334(f158(x76901,x76901,f5(x76901)),x76903),x76902))
% 164.74/165.09 [7759]~P107(f334(f334(f249(a919),x77593),x77592))+~P107(f334(f334(f249(a919),x77593),x77591))+P107(f334(f334(f249(a919),f334(f334(f23(a919),x77591),x77592)),f334(f334(f23(a919),x77591),x77593)))
% 164.74/165.09 [7760]~P107(f334(f334(f248(a919),x77602),x77601))+~P107(f334(f334(f249(a919),x77601),x77603))+P107(f334(f334(f249(a919),f334(f334(f23(a919),x77601),x77602)),f334(f334(f23(a919),x77603),x77602)))
% 164.74/165.09 [7775]~P107(f334(f334(f249(a1),x77752),f2(a1)))+~P107(f334(f334(f248(a1),x77753),x77751))+P107(f334(f334(f248(a1),f334(f334(f45(a1),x77751),x77752)),f334(f334(f45(a1),x77753),x77752)))
% 164.74/165.09 [7792]~P107(f334(f334(f249(a919),f2(a919)),x77923))+~P107(f334(f334(f248(a919),x77923),x77922))+P107(f334(f334(f248(a919),f334(f334(f45(a919),x77921),x77922)),f334(f334(f45(a919),x77921),x77923)))
% 164.74/165.09 [7793]~P107(f334(f334(f249(a1),f2(a1)),x77932))+~P107(f334(f334(f248(a1),x77931),x77933))+P107(f334(f334(f248(a1),f334(f334(f45(a1),x77931),x77932)),f334(f334(f45(a1),x77933),x77932)))
% 164.74/165.09 [7797]~P107(f334(f334(f249(a919),f2(a919)),x77972))+~P107(f334(f334(f249(a919),x77971),x77973))+P107(f334(f334(f249(a919),f334(f334(f90(a919),x77971),x77972)),f334(f334(f90(a919),x77973),x77972)))
% 164.74/165.09 [7798]~P107(f334(f334(f249(a919),f2(a919)),x77981))+~P107(f334(f334(f249(a919),x77982),x77983))+P107(f334(f334(f249(a919),f334(f334(f90(a919),x77981),x77982)),f334(f334(f90(a919),x77981),x77983)))
% 164.74/165.09 [7799]~P107(f334(f334(f249(a1),f2(a1)),x77991))+~P107(f334(f334(f249(a1),x77992),x77993))+P107(f334(f334(f249(a1),f334(f334(f90(a1),x77991),x77992)),f334(f334(f90(a1),x77991),x77993)))
% 164.74/165.09 [7848]E(x78481,f2(a919))+E(f334(f334(f89(a919),f334(f334(f90(a919),x78481),f510(x78481,x78482,x78483))),f511(x78481,x78482,x78483)),x78482)+P107(f334(x78483,f334(f334(f45(a919),x78482),x78481)))
% 164.74/165.09 [7909]E(f334(f334(f89(a919),f334(f334(f90(a919),x79091),f510(x79091,x79092,x79093))),f511(x79091,x79092,x79093)),x79092)+~P107(f334(x79093,f2(a919)))+P107(f334(x79093,f334(f334(f45(a919),x79092),x79091)))
% 164.74/165.09 [7927]~P107(f334(f70(x79271),x79273))+P107(f334(f334(f336(x79271),f541(x79272,x79273,x79271)),x79273))+P107(f334(f334(f249(a919),f2(a919)),f334(f334(f9(x79271,a919),x79272),x79273)))
% 164.74/165.09 [7928]~P107(f334(f70(x79281),x79283))+P107(f334(f334(f336(x79281),f617(x79282,x79283,x79281)),x79283))+P107(f334(f334(f249(a919),f2(a919)),f334(f334(f9(x79281,a919),x79282),x79283)))
% 164.74/165.09 [8222]E(x82221,f198(f926(x82222,a913)))+E(x82221,f334(f334(f316(x82222),x82223),f198(f926(x82222,a913))))+~P107(f334(f334(f248(f926(x82222,a913)),x82221),f334(f334(f316(x82222),x82223),f198(f926(x82222,a913)))))
% 164.74/165.09 [8259]~P107(f334(f334(f249(a919),f2(a919)),x82593))+P107(f334(f334(f248(a919),x82591),x82592))+~P107(f334(f334(f248(a919),f334(f334(f90(a919),x82593),x82591)),f334(f334(f90(a919),x82593),x82592)))
% 164.74/165.09 [8260]~P107(f334(f334(f249(a919),f2(a919)),x82603))+P107(f334(f334(f248(a919),x82601),x82602))+~P107(f334(f334(f248(a919),f334(f334(f90(a919),x82601),x82603)),f334(f334(f90(a919),x82602),x82603)))
% 164.74/165.09 [8262]~P107(f334(f334(f249(a919),f2(a919)),x82623))+P107(f334(f334(f249(a919),x82621),x82622))+~P107(f334(f334(f249(a919),f334(f334(f258(a919),x82623),x82621)),f334(f334(f258(a919),x82623),x82622)))
% 164.74/165.09 [8295]~P107(f334(x82951,x82953))+P107(f334(f334(f204(f33(x82951,x82952)),f443(x82953,x82952,x82951)),x82953))+~P107(f334(f334(f204(f33(x82951,x82952)),x82953),x82953))
% 164.74/165.09 [8303]~E(f334(f334(f114(f926(x83031,a913)),f386(x83033,x83032,x83031)),f385(x83033,x83032,x83031)),f198(f926(x83031,a913)))+E(f334(f334(f114(f926(x83031,a913)),x83032),f46(f926(x83031,a913),x83033)),f198(f926(x83031,a913)))+P107(f334(f334(f336(f926(x83031,a913)),x83032),x83033))
% 164.74/165.09 [8317]E(x83171,f126(x83172))+~E(f334(f152(f920(x83172),f920(x83172),f144(x83172),f126(x83172)),x83173),f126(x83172))+~P107(f334(f334(f336(f920(x83172)),x83171),f334(f182(f920(x83172)),x83173)))
% 164.74/165.09 [8373]E(x83731,f198(f926(f926(x83732,a913),a913)))+P107(f334(f334(f336(f926(x83732,a913)),f406(x83733,x83731,x83732)),x83731))+P107(f334(f334(f248(f926(x83732,a913)),f47(f926(x83732,a913),x83731)),x83733))
% 164.74/165.09 [8379]~P72(x83791)+~P76(x83791)+E(f334(f334(f6(a1,x83791),f334(f334(f8(a919,x83791,a1),x83792),a117)),f334(f317(a919,a1,f113(a1)),x83793)),f334(f334(f6(a919,x83791),x83792),x83793))
% 164.74/165.09 [8380]~P72(x83801)+~P76(x83801)+E(f334(f334(f9(a1,x83801),f334(f334(f8(a919,x83801,a1),x83802),a117)),f334(f317(a919,a1,f113(a1)),x83803)),f334(f334(f9(a919,x83801),x83802),x83803))
% 164.74/165.09 [8422]~P107(f334(f70(x84221),x84223))+~P107(f334(f334(f249(a919),f2(a919)),f334(x84222,f541(x84222,x84223,x84221))))+P107(f334(f334(f249(a919),f2(a919)),f334(f334(f9(x84221,a919),x84222),x84223)))
% 164.74/165.09 [8423]~P107(f334(f70(x84231),x84233))+~P107(f334(f334(f249(a919),f2(a919)),f334(x84232,f617(x84232,x84233,x84231))))+P107(f334(f334(f249(a919),f2(a919)),f334(f334(f9(x84231,a919),x84232),x84233)))
% 164.74/165.09 [8458]~P66(x84582)+E(x84581,f87(x84582))+E(f334(f334(f297(x84582),f334(f334(f23(x84582),f334(f334(f258(x84582),x84581),x84583)),f87(x84582))),f334(f334(f23(x84582),x84581),f87(x84582))),f334(f334(f6(a919,x84582),f334(f258(x84582),x84581)),f334(f309(a919,f2(a919)),x84583)))
% 164.74/165.09 [8515]E(x85151,f2(a919))+~P107(f334(x85153,f334(f334(f45(a919),x85152),x85151)))+P107(f334(f334(f249(a919),x85152),f334(f334(f90(a919),x85151),f334(a125,f509(x85151,x85152,x85153)))))
% 164.74/165.09 [8535]P107(f334(x85351,f2(a919)))+~P107(f334(x85351,f334(f334(f45(a919),x85352),x85353)))+P107(f334(f334(f249(a919),x85352),f334(f334(f90(a919),x85353),f334(a125,f509(x85353,x85352,x85351)))))
% 164.74/165.09 [8577]E(x85771,f2(a919))+~P107(f334(x85773,f334(f334(f45(a919),x85772),x85771)))+P107(f334(f334(f248(a919),f334(f334(f90(a919),x85771),f509(x85771,x85772,x85773))),x85772))
% 164.74/165.09 [8615]P107(f334(x86151,f2(a919)))+~P107(f334(x86151,f334(f334(f45(a919),x86153),x86152)))+P107(f334(f334(f248(a919),f334(f334(f90(a919),x86152),f509(x86152,x86153,x86151))),x86153))
% 164.74/165.09 [8620]~P110(x86201)+E(f334(f334(f158(x86201,x86201,f5(x86201)),x86202),x86203),f159(x86201,x86201,f5(x86201),x86202,x86203))+P107(f334(f334(f336(x86201),x86202),f334(f182(x86201),x86203)))
% 164.74/165.09 [8657]~E(f334(x86573,f373(x86572,x86573,x86571)),f334(x86573,f375(x86572,x86573,x86571)))+~P59(x86571,f334(x86573,f374(x86572,x86573,x86571)))+P59(x86571,f334(f334(f48(x86572,f926(x86571,f926(x86571,a913))),f256(f926(x86572,a913))),x86573))
% 164.74/165.09 [8666]E(x86661,f198(f926(f926(x86662,a913),a913)))+~P107(f334(f334(f248(f926(x86662,a913)),f406(x86663,x86661,x86662)),x86663))+P107(f334(f334(f248(f926(x86662,a913)),f47(f926(x86662,a913),x86661)),x86663))
% 164.74/165.09 [8727]~P68(x87271)+~P107(f334(f334(f249(x87271),x87272),x87273))+P107(f334(f334(f249(x87271),x87272),f334(f334(f297(x87271),f334(f334(f89(x87271),x87272),x87273)),f334(f334(f89(x87271),f87(x87271)),f87(x87271)))))
% 164.74/165.09 [8787]~P107(f334(f334(x87871,f528(x87871,x87873,x87872)),f529(x87871,x87873,x87872)))+P107(f334(f334(x87871,x87872),x87873))+~P107(f334(f322(f925(a1,a1),a235),f334(f334(f266(a1,a1),x87872),x87873)))
% 164.74/165.09 [8788]~P107(f334(f334(x87881,f530(x87881,x87883,x87882)),f536(x87881,x87883,x87882)))+P107(f334(f334(x87881,x87882),x87883))+~P107(f334(f322(f925(a1,a1),a67),f334(f334(f266(a1,a1),x87882),x87883)))
% 164.74/165.09 [8789]~P107(f334(f334(x87891,f537(x87891,x87893,x87892)),f538(x87891,x87893,x87892)))+P107(f334(f334(x87891,x87892),x87893))+~P107(f334(f322(f925(a1,a1),a61),f334(f334(f266(a1,a1),x87892),x87893)))
% 164.74/165.09 [8790]~P107(f334(f334(x87901,f608(x87901,x87903,x87902)),f610(x87901,x87903,x87902)))+P107(f334(f334(x87901,x87902),x87903))+~P107(f334(f322(f925(a919,a919),a233),f334(f334(f266(a919,a919),x87902),x87903)))
% 164.74/165.09 [8791]~P107(f334(f334(x87911,f736(x87911,x87913,x87912)),f738(x87911,x87913,x87912)))+P107(f334(f334(x87911,x87912),x87913))+~P107(f334(f322(f925(a1,a1),a192),f334(f334(f266(a1,a1),x87912),x87913)))
% 164.74/165.09 [8792]~P107(f334(f334(x87921,f831(x87921,x87923,x87922)),f832(x87921,x87923,x87922)))+P107(f334(f334(x87921,x87922),x87923))+~P107(f334(f322(f925(a1,a1),a143),f334(f334(f266(a1,a1),x87922),x87923)))
% 164.74/165.09 [9066]P107(f334(f334(x90661,x90662),x90663))+P107(f334(f322(f925(a919,a919),a233),f334(f334(f266(a919,a919),f608(x90661,x90663,x90662)),f610(x90661,x90663,x90662))))+~P107(f334(f322(f925(a919,a919),a233),f334(f334(f266(a919,a919),x90662),x90663)))
% 164.74/165.09 [9067]P107(f334(f334(x90671,x90672),x90673))+P107(f334(f322(f925(a1,a1),a235),f334(f334(f266(a1,a1),f528(x90671,x90673,x90672)),f529(x90671,x90673,x90672))))+~P107(f334(f322(f925(a1,a1),a235),f334(f334(f266(a1,a1),x90672),x90673)))
% 164.74/165.09 [9068]P107(f334(f334(x90681,x90682),x90683))+P107(f334(f322(f925(a1,a1),a67),f334(f334(f266(a1,a1),f530(x90681,x90683,x90682)),f536(x90681,x90683,x90682))))+~P107(f334(f322(f925(a1,a1),a67),f334(f334(f266(a1,a1),x90682),x90683)))
% 164.74/165.09 [9069]P107(f334(f334(x90691,x90692),x90693))+P107(f334(f322(f925(a1,a1),a61),f334(f334(f266(a1,a1),f537(x90691,x90693,x90692)),f538(x90691,x90693,x90692))))+~P107(f334(f322(f925(a1,a1),a61),f334(f334(f266(a1,a1),x90692),x90693)))
% 164.74/165.09 [9070]P107(f334(f334(x90701,x90702),x90703))+P107(f334(f322(f925(a1,a1),a192),f334(f334(f266(a1,a1),f736(x90701,x90703,x90702)),f738(x90701,x90703,x90702))))+~P107(f334(f322(f925(a1,a1),a192),f334(f334(f266(a1,a1),x90702),x90703)))
% 164.74/165.09 [9071]P107(f334(f334(x90711,x90712),x90713))+P107(f334(f322(f925(a1,a1),a143),f334(f334(f266(a1,a1),f831(x90711,x90713,x90712)),f832(x90711,x90713,x90712))))+~P107(f334(f322(f925(a1,a1),a143),f334(f334(f266(a1,a1),x90712),x90713)))
% 164.74/165.09 [9418]~P107(f334(f70(x94181),x94183))+P107(f334(f334(f336(f925(f926(x94181,a913),f926(x94181,a913))),f334(f334(f266(f926(x94181,a913),f926(x94181,a913)),x94182),x94183)),f321(x94181)))+~P107(f334(f334(f249(f926(x94181,a913)),x94182),x94183))
% 164.74/165.09 [9494]~P59(x94941,f334(x94943,f374(x94942,x94943,x94941)))+P59(x94941,f334(f334(f48(x94942,f926(x94941,f926(x94941,a913))),f256(f926(x94942,a913))),x94943))+~E(f334(f334(f114(f926(x94941,a913)),f262(x94941,x94941,f334(x94943,f373(x94942,x94943,x94941)))),f263(x94941,x94941,f334(x94943,f375(x94942,x94943,x94941)))),f198(f926(x94941,a913)))
% 164.74/165.09 [9565]~P28(a914,f198(f926(f918(a914),a913)),f334(f334(f316(f918(a914)),f334(f334(f334(f100(a914),x95651),x95652),x95653)),f198(f926(f918(a914),a913))))+P22(a914,f198(f926(f918(a914),a913)),f334(f334(f316(f918(a914)),f334(f334(f334(f100(a914),x95651),x95652),x95653)),f198(f926(f918(a914),a913))))+~P22(a914,f198(f926(f918(a914),a913)),f334(f334(f316(f918(a914)),f334(f334(f334(f100(a914),a331),x95652),f204(x95652))),f198(f926(f918(a914),a913))))
% 164.74/165.09 [9705]P41(x97051,x97052,x97053)+P107(f334(f334(f336(f925(x97051,x97051)),f417(x97053,x97052,x97051)),x97053))+~P107(f334(f334(f336(f925(x97051,x97051)),f334(f334(f266(x97051,x97051),f416(x97053,x97052,x97051)),f416(x97053,x97052,x97051))),x97053))
% 164.74/165.09 [10294]P41(x102941,x102942,x102943)+~P107(f334(f334(f270(x102941,x102941,a913),f334(f334(f7(x102941,f926(x102941,a913),f926(x102941,a913)),f334(f334(f8(f926(a913,a913),f926(f926(x102941,a913),f926(x102941,a913)),x102941),f8(a913,a913,x102941)),f334(f334(f8(a913,f926(a913,a913),x102941),a333),f334(f334(f7(x102941,f926(x102941,a913),a913),f336(x102941)),x102942)))),f334(f334(f7(x102941,f926(x102941,a913),a913),f336(x102941)),x102942))),f417(x102943,x102942,x102941)))+~P107(f334(f334(f336(f925(x102941,x102941)),f334(f334(f266(x102941,x102941),f416(x102943,x102942,x102941)),f416(x102943,x102942,x102941))),x102943))
% 164.74/165.09 [5801]~P60(x58012)+E(x58011,f2(x58012))+E(f334(f334(f45(x58012),f334(f334(f90(x58012),x58013),x58011)),x58011),x58013)
% 164.74/165.09 [5802]~P60(x58022)+E(x58021,f2(x58022))+E(f334(f334(f45(x58022),f334(f334(f90(x58022),x58021),x58023)),x58021),x58023)
% 164.74/165.09 [6599]~P72(x65991)+~E(f334(x65992,f2(a919)),f2(x65991))+E(f334(f334(f6(a919,x65991),x65992),f334(f309(a919,f334(a125,f2(a919))),x65993)),f334(f334(f6(a919,x65991),x65992),f334(f309(a919,f2(a919)),x65993)))
% 164.74/165.09 [6731]~P60(x67312)+E(x67311,f2(x67312))+E(f334(f334(f45(x67312),f334(f334(f89(x67312),x67313),x67311)),x67311),f334(f334(f89(x67312),f334(f334(f45(x67312),x67313),x67311)),f87(x67312)))
% 164.74/165.09 [6732]~P60(x67322)+E(x67321,f2(x67322))+E(f334(f334(f45(x67322),f334(f334(f89(x67322),x67321),x67323)),x67321),f334(f334(f89(x67322),f334(f334(f45(x67322),x67323),x67321)),f87(x67322)))
% 164.74/165.09 [6946]~P107(f334(x69463,f2(a1)))+P107(f334(f334(f248(a919),x69461),x69462))+P107(f334(x69463,f334(f113(a1),f334(f334(f23(a919),x69462),x69461))))
% 164.74/165.09 [7048]P107(f334(f334(f249(a919),x70482),x70481))+P107(f334(f334(f248(a919),x70481),x70482))+P107(f334(x70483,f334(f113(a1),f334(f334(f23(a919),x70482),x70481))))
% 164.74/165.09 [7119]E(f334(f334(f89(a919),f334(f116(a919),x71191)),f334(f334(f89(a919),f334(f116(a919),x71192)),x71193)),f334(f334(f89(a919),f334(f116(a919),x71191)),x71193))+P107(f334(a203,f334(f116(a1),x71191)))+~P107(f334(a203,f334(f116(a1),x71192)))
% 164.74/165.09 [7199]~E(x71992,f334(f334(f45(a919),x71993),x71991))+~P107(f334(f334(f249(a919),f2(a919)),x71991))+P107(f334(f334(f248(a919),f334(f334(f90(a919),x71991),x71992)),x71993))
% 164.74/165.09 [7314]~P107(f334(f70(x73141),x73143))+~P107(f334(f70(x73141),x73142))+P107(f334(f70(x73141),f334(f334(f123(f926(x73141,a913)),x73142),x73143)))
% 164.74/165.09 [7364]~P39(x73641,x73643)+~P39(x73641,x73642)+P39(x73641,f334(f334(f114(f926(f925(x73641,x73641),a913)),x73642),x73643))
% 164.74/165.09 [7605]~P110(x76051)+~P107(f334(f70(x76051),x76052))+E(f149(x76051,f334(f334(f23(f926(x76051,a913)),x76052),f334(f334(f316(x76051),x76053),f198(f926(x76051,a913))))),f180(x76051,x76053,f149(x76051,x76052)))
% 164.74/165.09 [7666]P107(f334(x76661,f2(a1)))+~P107(f334(f334(f249(a919),x76662),x76663))+~P107(f334(x76661,f334(f113(a1),f334(f334(f23(a919),x76662),x76663))))
% 164.74/165.09 [7684]~P107(f334(f70(x76841),x76842))+E(f334(f44(x76841),f334(f334(f23(f926(x76841,a913)),x76842),f334(f334(f316(x76841),x76843),f198(f926(x76841,a913))))),f334(f44(x76841),x76842))+P107(f334(f334(f336(x76841),x76843),x76842))
% 164.74/165.09 [7814]~P125(x78141)+~P107(f334(f334(f249(x78141),f87(x78141)),x78142))+P107(f334(f334(f249(x78141),f87(x78141)),f334(f334(f90(x78141),x78142),f334(f334(f258(x78141),x78142),x78143))))
% 164.74/165.09 [7859]~P107(f334(f70(x78591),x78593))+E(f334(f334(f23(a919),f334(f44(x78591),x78592)),f334(f44(x78591),x78593)),f334(f44(x78591),f334(f334(f23(f926(x78591,a913)),x78592),x78593)))+~P107(f334(f334(f248(f926(x78591,a913)),x78593),x78592))
% 164.74/165.09 [7917]~P107(f334(f334(f248(a919),x79172),x79173))+~P107(f334(f334(f248(a919),x79171),f334(f334(f23(a919),x79173),x79172)))+P107(f334(f334(f248(a919),f334(f334(f89(a919),x79171),x79172)),x79173))
% 164.74/165.09 [7971]P107(f334(f70(x79711),x79712))+~P107(f334(f70(x79711),x79713))+~P107(f334(f70(x79711),f334(f334(f23(f926(x79711,a913)),x79712),x79713)))
% 164.74/165.09 [7977]~P107(f334(f70(x79771),x79772))+E(f334(f44(x79771),f334(f334(f23(f926(x79771,a913)),x79772),f334(f334(f316(x79771),x79773),f198(f926(x79771,a913))))),f334(f334(f23(a919),f334(f44(x79771),x79772)),f87(a919)))+~P107(f334(f334(f336(x79771),x79773),x79772))
% 164.74/165.09 [8053]P59(x80531,x80532)+~P59(x80531,x80533)+~P107(f334(f334(f248(f926(x80531,f926(x80531,a913))),x80532),x80533))
% 164.74/165.09 [8093]~P107(f334(f334(f248(a919),x80933),x80932))+P107(f334(f334(f248(a919),x80931),f334(f334(f23(a919),x80932),x80933)))+~P107(f334(f334(f248(a919),f334(f334(f89(a919),x80931),x80933)),x80932))
% 164.74/165.09 [8111]P38(x81111,x81112)+~P38(x81111,x81113)+~P107(f334(f334(f248(f926(f925(x81111,x81111),a913)),x81112),x81113))
% 164.74/165.09 [8112]P57(x81121,x81122)+~P57(x81121,x81123)+~P107(f334(f334(f248(f926(f925(x81121,x81121),a913)),x81122),x81123))
% 164.74/165.09 [8350]~P125(x83501)+~P107(f334(f334(f249(x83501),f87(x83501)),x83502))+P107(f334(f334(f249(x83501),f334(f334(f258(x83501),x83502),x83503)),f334(f334(f90(x83501),x83502),f334(f334(f258(x83501),x83502),x83503))))
% 164.74/165.09 [8440]~P107(f334(x84401,f2(a1)))+~P107(f334(x84401,f334(f334(f23(a1),f334(f113(a1),x84402)),f334(f113(a1),x84403))))+P107(f334(x84401,f334(f113(a1),f334(f334(f23(a919),x84402),x84403))))
% 164.74/165.09 [8455]~P107(f334(f334(f248(a919),x84553),x84552))+P107(f334(x84551,f334(f334(f23(a1),f334(f113(a1),x84552)),f334(f113(a1),x84553))))+~P107(f334(x84551,f334(f113(a1),f334(f334(f23(a919),x84552),x84553))))
% 164.74/165.09 [8474]P107(f334(f334(f249(a919),x84741),x84742))+~P107(f334(x84743,f334(f334(f23(a1),f334(f113(a1),x84741)),f334(f113(a1),x84742))))+P107(f334(x84743,f334(f113(a1),f334(f334(f23(a919),x84741),x84742))))
% 164.74/165.09 [8527]~P127(x85272)+E(x85271,f2(x85272))+P107(f334(f334(f249(x85272),f2(x85272)),f334(f334(f89(x85272),f334(f334(f90(x85272),x85273),x85273)),f334(f334(f90(x85272),x85271),x85271))))
% 164.74/165.09 [8528]~P127(x85282)+E(x85281,f2(x85282))+P107(f334(f334(f249(x85282),f2(x85282)),f334(f334(f89(x85282),f334(f334(f90(x85282),x85281),x85281)),f334(f334(f90(x85282),x85283),x85283))))
% 164.74/165.09 [8637]~P107(f334(f334(f249(a919),f2(a919)),x86371))+~P107(f334(f334(f249(a1),x86372),x86373))+P107(f334(f334(f249(a1),f334(f334(f90(a1),f334(f113(a1),x86371)),x86372)),f334(f334(f90(a1),f334(f113(a1),x86371)),x86373)))
% 164.74/165.09 [8695]E(f334(f334(f114(f926(x86951,a913)),x86952),f46(f926(x86951,a913),x86953)),f198(f926(x86951,a913)))+P107(f334(f334(f336(f926(x86951,a913)),x86952),x86953))+P107(f334(f334(f336(f926(x86951,a913)),f386(x86953,x86952,x86951)),f334(f334(f316(f926(x86951,a913)),x86952),x86953)))
% 164.74/165.09 [8696]E(f334(f334(f114(f926(x86961,a913)),x86962),f46(f926(x86961,a913),x86963)),f198(f926(x86961,a913)))+P107(f334(f334(f336(f926(x86961,a913)),x86962),x86963))+P107(f334(f334(f336(f926(x86961,a913)),f385(x86963,x86962,x86961)),f334(f334(f316(f926(x86961,a913)),x86962),x86963)))
% 164.74/165.09 [8726]E(x87261,x87262)+~E(f334(f199(f920(x87263)),x87261),f334(f199(f920(x87263)),x87262))+P107(f334(f334(f336(f925(x87263,x87263)),f726(x87263,x87261,x87262)),f334(f182(f925(x87263,x87263)),f334(f334(f191(x87263,x87263),x87262),x87261))))
% 164.74/165.09 [8975]E(f314(x89751,x89752),f314(x89751,x89753))+~P107(f334(f334(f248(f926(f925(x89751,x89751),a913)),x89753),f314(x89751,x89752)))+~P107(f334(f334(f248(f926(f925(x89751,x89751),a913)),x89752),x89753))
% 164.74/165.09 [9042]~P41(x90421,f256(f926(x90421,a913)),x90423)+P107(f334(f334(f248(f926(f925(f920(x90421),f920(x90421)),a913)),f167(x90421,x90422)),f168(x90421,x90423)))+~P107(f334(f334(f248(f926(f925(x90421,x90421),a913)),x90422),x90423))
% 164.74/165.09 [9253]P38(x92531,x92532)+~P107(f334(f334(f336(x92531),x92533),f362(x92532,x92531)))+P107(f334(f334(f336(f925(x92531,x92531)),f334(f334(f266(x92531,x92531),f368(x92532,x92531,x92533)),x92533)),x92532))
% 164.74/165.09 [9289]~P107(f334(f70(x92891),x92892))+P107(f334(f70(f926(x92891,a913)),f334(f334(f69(x92891),x92892),x92893)))+~P107(f334(f334(f248(f926(f925(x92891,x92891),a913)),x92893),f334(f334(f268(x92891,x92891),x92892),f334(f16(f926(x92891,a913),x92891),x92892))))
% 164.74/165.09 [9324]P41(x93241,x93242,x93243)+P107(f334(f334(f336(x93241),f431(x93243,x93242,x93241)),x93242))+~P107(f334(f334(f248(f926(f925(x93241,x93241),a913)),x93243),f334(f334(f268(x93241,x93241),x93242),f334(f16(f926(x93241,a913),x93241),x93242))))
% 164.74/165.09 [9325]P41(x93251,x93252,x93253)+P107(f334(f334(f336(x93251),f437(x93252,x93253,x93251)),x93252))+~P107(f334(f334(f248(f926(f925(x93251,x93251),a913)),x93253),f334(f334(f268(x93251,x93251),x93252),f334(f16(f926(x93251,a913),x93251),x93252))))
% 164.74/165.09 [9357]~P68(x93571)+~P107(f334(f334(f249(x93571),x93572),x93573))+P107(f334(f334(f249(x93571),f334(f334(f297(x93571),f334(f334(f89(x93571),x93572),x93573)),f334(f334(f89(x93571),f87(x93571)),f87(x93571)))),x93573))
% 164.74/165.09 [9385]~P67(x93851)+P107(f334(f334(f248(x93851),x93852),x93853))+~P107(f334(f334(f248(x93851),f334(f334(f90(x93851),f604(x93853,x93852,x93851)),x93852)),x93853))
% 164.74/165.09 [9529]E(f334(f199(f920(f920(x95291))),f334(f146(f920(x95291),f334(f334(f8(a919,a913,f920(x95291)),f334(f249(a919),x95292)),f199(f920(x95291)))),f189(x95291,x95293))),f334(f199(f920(x95291)),f334(f334(f174(f920(x95291)),x95293),x95292)))+~P12(a919,f334(f178(a919),f334(f334(f164(f920(x95291),a919),f199(f920(x95291))),x95293)))+~P107(f334(f334(f249(a919),x95292),f334(f199(f920(f920(x95291))),x95293)))
% 164.74/165.09 [9643]~P38(x96431,x96432)+P25(x96431,f334(f334(f266(f926(f925(x96431,x96431),a913),f926(f925(x96431,x96431),a913)),x96432),x96433))+~P107(f334(f334(f248(f926(f925(x96431,x96431),a913)),f334(f334(f296(x96431,x96431,x96431),x96432),x96433)),x96432))
% 164.74/165.09 [9649]E(f334(f334(f164(f920(x96491),x96491),f334(f334(f7(f920(x96491),a919,x96491),f174(x96491)),x96492)),f334(f146(f920(x96491),f334(f334(f8(a919,a913,f920(x96491)),f334(f249(a919),x96492)),f199(f920(x96491)))),f189(x96491,x96493))),f334(f334(f174(f920(x96491)),x96493),x96492))+~P12(a919,f334(f178(a919),f334(f334(f164(f920(x96491),a919),f199(f920(x96491))),x96493)))+~P107(f334(f334(f249(a919),x96492),f334(f199(f920(f920(x96491))),x96493)))
% 164.74/165.09 [9796]P41(x97961,x97962,x97963)+~P107(f334(f334(f336(f925(x97961,x97961)),f334(f334(f266(x97961,x97961),f431(x97963,x97962,x97961)),f431(x97963,x97962,x97961))),x97963))+~P107(f334(f334(f248(f926(f925(x97961,x97961),a913)),x97963),f334(f334(f268(x97961,x97961),x97962),f334(f16(f926(x97961,a913),x97961),x97962))))
% 164.74/165.09 [9797]P41(x97971,x97972,x97973)+~P107(f334(f334(f336(f925(x97971,x97971)),f334(f334(f266(x97971,x97971),f437(x97972,x97973,x97971)),f437(x97972,x97973,x97971))),x97973))+~P107(f334(f334(f248(f926(f925(x97971,x97971),a913)),x97973),f334(f334(f268(x97971,x97971),x97972),f334(f16(f926(x97971,a913),x97971),x97972))))
% 164.74/165.09 [9969]~P142(x99691)+~P124(x99691)+E(f334(f334(f297(x99691),f334(f115(x99691),f334(f334(f81(f925(a1,a1),a1,x99692,f265(a1,a1)),f226(x99692)),x99693))),f334(f115(x99691),f334(f334(f81(f925(a1,a1),a1,x99692,f269(a1,a1)),f226(x99692)),x99693))),f236(x99692,x99691,x99693))
% 164.74/165.09 [10170]~E(x101703,f2(a919))+~E(f334(f199(f920(x101701)),f334(f334(f174(f920(x101701)),x101702),f771(x101703,x101701,x101702))),x101703)+E(f334(f334(f164(a919,f920(x101701)),f334(f334(f7(a919,f920(a919),f920(x101701)),f334(f334(f8(f926(a919,x101701),f926(f920(a919),f920(x101701)),a919),f164(a919,x101701)),f334(f7(a919,a919,x101701),f334(f334(f8(f920(x101701),f926(a919,x101701),a919),f174(x101701)),f334(f174(f920(x101701)),x101702))))),f149(a919,f334(f309(a919,f2(a919)),f334(f199(f920(f920(x101701))),x101702))))),f149(a919,f334(f309(a919,f2(a919)),x101703))),f189(x101701,x101702))
% 164.74/165.09 [10171]E(x101711,f126(f920(x101712)))+~E(f334(f199(f920(x101712)),f334(f334(f174(f920(x101712)),x101711),f771(x101713,x101712,x101711))),x101713)+E(f334(f334(f164(a919,f920(x101712)),f334(f334(f7(a919,f920(a919),f920(x101712)),f334(f334(f8(f926(a919,x101712),f926(f920(a919),f920(x101712)),a919),f164(a919,x101712)),f334(f7(a919,a919,x101712),f334(f334(f8(f920(x101712),f926(a919,x101712),a919),f174(x101712)),f334(f174(f920(x101712)),x101711))))),f149(a919,f334(f309(a919,f2(a919)),f334(f199(f920(f920(x101712))),x101711))))),f149(a919,f334(f309(a919,f2(a919)),x101713))),f189(x101712,x101711))
% 164.74/165.09 [10172]~E(x101723,f2(a919))+E(f334(f334(f164(a919,f920(x101721)),f334(f334(f7(a919,f920(a919),f920(x101721)),f334(f334(f8(f926(a919,x101721),f926(f920(a919),f920(x101721)),a919),f164(a919,x101721)),f334(f7(a919,a919,x101721),f334(f334(f8(f920(x101721),f926(a919,x101721),a919),f174(x101721)),f334(f174(f920(x101721)),x101722))))),f149(a919,f334(f309(a919,f2(a919)),f334(f199(f920(f920(x101721))),x101722))))),f149(a919,f334(f309(a919,f2(a919)),x101723))),f189(x101721,x101722))+P107(f334(f334(f249(a919),f771(x101723,x101721,x101722)),f334(f199(f920(f920(x101721))),x101722)))
% 164.74/165.09 [10173]E(x101731,f126(f920(x101732)))+E(f334(f334(f164(a919,f920(x101732)),f334(f334(f7(a919,f920(a919),f920(x101732)),f334(f334(f8(f926(a919,x101732),f926(f920(a919),f920(x101732)),a919),f164(a919,x101732)),f334(f7(a919,a919,x101732),f334(f334(f8(f920(x101732),f926(a919,x101732),a919),f174(x101732)),f334(f174(f920(x101732)),x101731))))),f149(a919,f334(f309(a919,f2(a919)),f334(f199(f920(f920(x101732))),x101731))))),f149(a919,f334(f309(a919,f2(a919)),x101733))),f189(x101732,x101731))+P107(f334(f334(f249(a919),f771(x101733,x101732,x101731)),f334(f199(f920(f920(x101732))),x101731)))
% 164.74/165.09 [7856]E(f334(f334(f89(a919),f334(f116(a919),x78561)),f334(f334(f89(a919),f334(f116(a919),x78562)),x78563)),f334(f334(f89(a919),f334(f116(a919),f334(f334(f89(a1),x78561),x78562))),x78563))+P107(f334(a203,f334(f116(a1),x78561)))+P107(f334(a203,f334(f116(a1),x78562)))
% 164.74/165.09 [8629]~P107(f334(f70(x86291),x86292))+~P107(f334(f334(f336(x86291),x86293),x86292))+E(f334(a125,f334(f44(x86291),f334(f334(f23(f926(x86291,a913)),x86292),f334(f334(f316(x86291),x86293),f198(f926(x86291,a913)))))),f334(f44(x86291),x86292))
% 164.74/165.09 [8647]~P107(f334(f70(x86471),x86472))+~P107(f334(f334(f336(x86471),x86473),x86472))+E(f334(f334(f89(a919),f87(a919)),f334(f44(x86471),f334(f334(f23(f926(x86471,a913)),x86472),f334(f334(f316(x86471),x86473),f198(f926(x86471,a913)))))),f334(f44(x86471),x86472))
% 164.74/165.09 [8735]~P110(x87351)+~P107(f334(f70(x87351),x87353))+E(f334(f334(f158(x87351,x87351,f5(x87351)),x87352),f149(x87351,f334(f334(f23(f926(x87351,a913)),x87353),f334(f334(f316(x87351),x87352),f198(f926(x87351,a913)))))),f149(x87351,f334(f334(f316(x87351),x87352),x87353)))
% 164.74/165.09 [8901]~P107(f334(f70(x89011),x89013))+~P107(f334(f70(x89011),x89012))+E(f334(f334(f89(a919),f334(f44(x89011),f334(f334(f123(f926(x89011,a913)),x89012),x89013))),f334(f44(x89011),f334(f334(f114(f926(x89011,a913)),x89012),x89013))),f334(f334(f89(a919),f334(f44(x89011),x89012)),f334(f44(x89011),x89013)))
% 164.74/165.09 [10119]~P23(x101191,f926(f926(x101191,a913),a913),f334(f334(f7(x101191,f926(f925(x101191,x101191),a913),f926(f926(x101191,a913),a913)),f334(f334(f8(f926(x101191,a913),f926(f926(f925(x101191,x101191),a913),f926(f926(x101191,a913),a913)),x101191),f69(x101191)),f334(f334(f7(x101191,f926(x101191,a913),f926(x101191,a913)),f316(x101191)),f198(f926(x101191,a913))))),x101193),x101192)+~P107(f334(f70(x101191),x101192))+E(f334(f44(f926(x101191,a913)),f334(f334(f69(x101191),x101192),x101193)),f334(f44(x101191),x101192))
% 164.74/165.09 [8127]~P97(x81271)+P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),x81273)))+E(f334(f334(f258(x81271),x81272),f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),x81273),x81273)),a110))),f87(x81271))
% 164.74/165.09 [9628]~P97(x96281)+~P107(f334(f334(f248(a1),f2(a1)),f334(f116(a1),x96283)))+E(f334(f334(f258(x96281),x96282),f334(f116(a919),f334(f334(f23(a1),f334(f334(f89(a1),x96283),x96283)),a110))),f334(f334(f95(x96281,x96281),f334(f334(f258(x96281),x96282),f334(f116(a919),x96283))),f334(f334(f18(x96281,x96281,x96281),f334(f334(f8(x96281,f926(x96281,x96281),x96281),f90(x96281)),f334(f90(x96281),x96282))),f5(x96281))))
% 164.74/165.09 [10029]~P107(f334(f147(x100291),x100293))+~P107(f334(f334(f336(x100291),x100292),f334(f182(x100291),x100293)))+E(f334(f334(f148(x100291),f334(f199(f920(x100291)),f187(x100291,f334(f334(f8(a913,a913,x100291),a329),f334(f334(f7(x100291,x100291,a913),a331),x100292)),f334(f178(x100291),x100293)))),f334(f178(x100291),x100293)),f334(f334(f161(x100291),x100292),f334(f178(x100291),f187(x100291,f334(f334(f8(a913,a913,x100291),a329),f334(f334(f7(x100291,x100291,a913),a331),x100292)),x100293))))
% 164.74/165.09 [10097]P107(f334(f334(f248(f926(f925(x100971,x100971),a913)),f314(x100971,x100972)),x100973))+~P107(f334(f334(f248(f926(f925(x100971,x100971),a913)),f314(x100971,f198(f926(f925(x100971,x100971),a913)))),x100973))+~P107(f334(f334(f248(f926(f925(x100971,x100971),a913)),f334(f334(f296(x100971,x100971,x100971),f334(f334(f114(f926(f925(x100971,x100971),a913)),f314(x100971,x100972)),x100973)),x100972)),x100973))
% 164.74/165.09 [9945]~P107(f334(f70(x99451),f334(f254(x99451),x99453)))+~P107(f334(f70(x99451),f334(f254(x99451),x99452)))+P107(f334(f70(x99451),f334(f254(x99451),f334(f334(f18(x99451,a913,a913),f334(f334(f8(a913,f926(a913,a913),x99451),a332),x99452)),x99453))))
% 164.74/165.09 [10232]P107(f334(f334(f248(f926(f925(x102321,x102321),a913)),f334(f334(f296(x102321,x102321,x102321),x102322),f314(x102321,x102322))),x102323))+~P107(f334(f334(f248(f926(f925(x102321,x102321),a913)),x102322),x102323))+~P107(f334(f334(f248(f926(f925(x102321,x102321),a913)),f334(f334(f296(x102321,x102321,x102321),f334(f334(f114(f926(f925(x102321,x102321),a913)),f334(f334(f296(x102321,x102321,x102321),x102322),f314(x102321,x102322))),x102323)),x102322)),x102323))
% 164.74/165.09 [10186]~P122(x101862)+E(x101861,f2(x101862))+~E(f334(f334(f89(x101862),f334(f334(f258(x101862),x101863),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f334(f258(x101862),x101861),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f2(x101862))
% 164.74/165.09 [10187]~P122(x101872)+E(x101871,f2(x101872))+~E(f334(f334(f89(x101872),f334(f334(f258(x101872),x101871),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f334(f258(x101872),x101873),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f2(x101872))
% 164.74/165.09 [10192]~P107(f334(f147(x101921),x101923))+~P107(f334(f334(f336(x101921),x101922),f334(f182(x101921),x101923)))+E(f334(f178(x101921),f334(f181(x101921),f334(f334(f148(x101921),f334(f199(f920(x101921)),f187(x101921,f334(f334(f8(a913,a913,x101921),a329),f334(f334(f7(x101921,x101921,a913),a331),x101922)),x101923))),x101923))),f187(x101921,f334(f334(f8(a913,a913,x101921),a329),f334(f334(f7(x101921,x101921,a913),a331),x101922)),f334(f178(x101921),x101923)))
% 164.74/165.09 [10278]~P122(x102782)+E(x102781,f2(x102782))+P107(f334(f334(f249(x102782),f2(x102782)),f334(f334(f89(x102782),f334(f334(f258(x102782),x102783),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f334(f258(x102782),x102781),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))))
% 164.74/165.09 [10279]~P122(x102792)+E(x102791,f2(x102792))+P107(f334(f334(f249(x102792),f2(x102792)),f334(f334(f89(x102792),f334(f334(f258(x102792),x102791),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f334(f258(x102792),x102793),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))))
% 164.74/165.09 [10327]~P122(x103271)+P107(f334(f334(f248(x103271),f2(x103271)),x103272))+~P107(f334(f334(f248(x103271),f2(x103271)),f334(f334(f258(x103271),x103272),f334(a125,f334(f334(f90(a919),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),x103273)))))
% 164.74/165.09 [5642]~P22(x56421,x56424,x56423)+P22(x56421,x56422,x56423)+~P22(x56421,x56422,x56424)
% 164.74/165.09 [5115]~E(x51152,f99(x51153,x51151))+P107(f334(x51151,x51152))+~P107(f334(x51151,x51154))
% 164.74/165.09 [5362]E(f77(x53623,x53622,x53624),x53622)+E(x53621,f797(x53622,x53623,x53624))+~P107(f334(x53624,x53621))
% 164.74/165.09 [6654]E(f77(x66541,x66542,x66543),f94(x66541,x66543))+~E(f834(x66542,x66541,x66543,x66544),x66544)+~P107(f334(x66543,x66544))
% 164.74/165.09 [6860]~P38(x68602,x68604)+~P38(x68601,x68603)+P38(f925(x68601,x68602),f327(x68601,x68602,x68603,x68604))
% 164.74/165.09 [6861]~P39(x68612,x68614)+~P39(x68611,x68613)+P39(f925(x68611,x68612),f327(x68611,x68612,x68613,x68614))
% 164.74/165.09 [5294]~P5(x52944,x52941)+~E(f334(x52941,x52942),f334(x52941,x52943))+P107(f334(f334(x52941,x52942),x52943))
% 164.74/165.09 [5465]~P5(x54654,x54651)+E(f334(x54651,x54652),f334(x54651,x54653))+~P107(f334(f334(x54651,x54652),x54653))
% 164.74/165.09 [5552]~P16(x55523,x55524,x55521)+E(f334(x55521,x55522),f334(f72(x55523,x55524),x55522))+~P107(f334(f70(x55523),x55522))
% 164.74/165.09 [5553]~P7(x55533,x55534,x55531)+E(f334(x55531,x55532),f334(f72(x55533,x55534),x55532))+~P107(f334(f70(x55533),x55532))
% 164.74/165.09 [5675]~P5(x56754,x56751)+~P107(f334(f334(x56751,x56753),x56752))+P107(f334(f334(x56751,x56752),x56753))
% 164.74/165.09 [5745]E(x57451,x57452)+~E(f334(f265(x57453,x57454),x57451),f334(f265(x57453,x57454),x57452))+~E(f334(f269(x57453,x57454),x57451),f334(f269(x57453,x57454),x57452))
% 164.74/165.09 [5770]E(x57701,x57702)+~P107(f334(f57(x57703,x57704),x57702))+~P107(f334(f57(x57703,x57704),x57701))
% 164.74/165.09 [5961]~P72(x59612)+E(f245(x59611,x59612,x59613,x59614),f2(x59612))+P107(f334(f70(x59611),x59614))
% 164.74/165.09 [6098]~P107(f334(f322(x60981,x60982),x60984))+P107(f334(f322(x60981,x60982),x60983))+~P107(f334(f334(x60982,x60983),x60984))
% 164.74/165.09 [6528]P51(x65281,x65282,x65283,x65284)+P107(f334(f334(x65282,x65284),x65283))+~P107(f334(f334(x65282,x65283),x65284))
% 164.74/165.09 [6894]~P31(x68941,x68943,x68944)+P107(f334(x68941,x68942))+~P107(f334(f334(f336(a1),x68942),f310(a1,x68943,x68944)))
% 164.74/165.09 [7966]E(x79661,f2(a919))+~P107(f334(x79662,x79663))+P107(f334(x79662,f828(x79662,x79663,x79661,x79664)))
% 164.74/165.09 [8048]~P110(x80482)+~P107(f334(f147(x80481),x80484))+P107(f334(f147(x80481),f160(x80481,x80482,x80483,x80484)))
% 164.74/165.09 [8092]E(f77(x80921,x80922,x80923),f94(x80921,x80923))+~P107(f334(x80923,x80924))+P107(f334(x80923,f834(x80922,x80921,x80923,x80924)))
% 164.74/165.09 [8276]~P107(f334(f70(x82762),x82764))+~P107(f334(f70(x82761),x82763))+P107(f334(f70(f927(x82761,x82762)),f320(x82761,x82762,x82763,x82764)))
% 164.74/165.09 [8277]~P107(f334(f147(x82772),x82774))+~P107(f334(f147(x82771),x82773))+P107(f334(f147(f925(x82771,x82772)),f68(x82771,x82772,x82773,x82774)))
% 164.74/165.09 [8280]P107(f334(f334(f336(f920(x82801)),f334(f334(f144(x82801),x82802),x82803)),f171(x82801,x82804)))+~P107(f334(f334(f336(f920(x82801)),x82803),f171(x82801,x82804)))+~P107(f334(f334(f336(f920(x82801)),x82802),f171(x82801,x82804)))
% 164.74/165.09 [8561]E(x85611,f2(a919))+P107(f334(x85612,x85613))+~P107(f334(x85612,f830(x85612,x85613,x85611,x85614)))
% 164.74/165.09 [8606]~P110(x86063)+~P107(f334(f147(x86061),f160(x86061,x86063,x86064,x86062)))+P107(f334(f147(x86061),x86062))
% 164.74/165.09 [8890]~P107(f334(f334(f336(f925(x88901,x88901)),f334(f334(f266(x88901,x88901),x88902),x88904)),f314(x88901,x88903)))+P107(f334(f334(f336(x88901),x88902),f323(x88901,x88903)))+~P107(f334(f334(f336(x88901),x88904),f323(x88901,x88903)))
% 164.74/165.09 [5278]~P72(x52782)+E(f334(f334(f6(x52781,x52782),x52783),x52784),f2(x52782))+P107(f334(f70(x52781),x52784))
% 164.74/165.09 [5281]~P76(x52812)+E(f334(f334(f9(x52811,x52812),x52813),x52814),f87(x52812))+P107(f334(f70(x52811),x52814))
% 164.74/165.09 [5429]~P73(x54293)+E(x54291,x54292)+~E(f334(f334(f89(x54293),x54294),x54291),f334(f334(f89(x54293),x54294),x54292))
% 164.74/165.09 [5430]~P74(x54303)+E(x54301,x54302)+~E(f334(f334(f89(x54303),x54304),x54301),f334(f334(f89(x54303),x54304),x54302))
% 164.74/165.09 [5432]~P73(x54323)+E(x54321,x54322)+~E(f334(f334(f89(x54323),x54321),x54324),f334(f334(f89(x54323),x54322),x54324))
% 164.74/165.09 [5548]~P3(x55483)+E(x55481,f198(f926(x55482,a913)))+E(f334(f334(f48(x55482,x55483),x55481),f334(f16(x55483,x55482),x55484)),x55484)
% 164.74/165.09 [5549]~P3(x55493)+E(x55491,f198(f926(x55492,a913)))+E(f334(f334(f49(x55492,x55493),x55491),f334(f16(x55493,x55492),x55494)),x55494)
% 164.74/165.09 [5758]~P111(x57583)+E(x57581,x57582)+~E(f310(x57583,x57584,x57581),f334(f334(f316(x57583),x57582),f198(f926(x57583,a913))))
% 164.74/165.09 [5759]~P111(x57593)+E(x57591,x57592)+~E(f310(x57593,x57591,x57592),f334(f334(f316(x57593),x57594),f198(f926(x57593,a913))))
% 164.74/165.09 [5817]~P36(x58173,x58171,x58174)+P36(x58173,x58171,f334(f334(f161(x58173),x58172),x58174))+P107(f334(x58171,x58172))
% 164.74/165.09 [5920]~P32(x59201,x59202,x59204)+~P107(f334(x59202,x59203))+P32(x59201,x59202,f334(f334(f161(x59201),x59203),x59204))
% 164.74/165.09 [6054]P107(f334(x60541,x60542))+~P107(f334(f261(x60543,x60541),x60544))+~P107(f334(f334(f336(x60543),x60542),x60544))
% 164.74/165.09 [6063]~P32(x60631,x60632,x60634)+~P32(x60631,x60632,x60633)+P32(x60631,x60632,f334(f334(f144(x60631),x60633),x60634))
% 164.74/165.09 [6076]P34(x60761,x60762,x60763)+~P34(x60761,x60762,f334(f334(f161(x60761),x60764),x60763))+P107(f334(x60762,x60764))
% 164.74/165.09 [6077]P36(x60771,x60772,x60773)+~P36(x60771,x60772,f334(f334(f161(x60771),x60774),x60773))+P107(f334(x60772,x60774))
% 164.74/165.09 [6088]E(x60881,x60882)+~P107(f334(f334(f204(x60883),x60884),x60882))+~P107(f334(f334(f204(x60883),x60884),x60881))
% 164.74/165.09 [6155]P34(x61551,x61552,x61553)+P34(x61551,x61552,x61554)+~P34(x61551,x61552,f334(f334(f144(x61551),x61554),x61553))
% 164.74/165.09 [6174]~P72(x61741)+E(f334(f334(f6(a919,x61741),x61742),f334(f309(a919,x61743),f334(a125,x61744))),f2(x61741))+~P107(f334(f334(f249(a919),x61744),x61743))
% 164.74/165.09 [6179]~P61(x61791)+~E(f54(x61791,x61792,x61793),f54(x61791,x61794,x61793))+E(f54(x61791,f334(f88(x61791),x61792),x61793),f54(x61791,f334(f88(x61791),x61794),x61793))
% 164.74/165.09 [6246]P107(f334(x62461,x62462))+~E(f334(f146(x62463,x62461),x62464),x62464)+~P107(f334(f334(f336(x62463),x62462),f334(f182(x62463),x62464)))
% 164.74/165.09 [6265]~E(f334(f334(f89(a919),x62653),x62652),f334(f334(f89(a919),x62651),x62654))+~P107(f334(f334(f249(a919),x62653),x62654))+P107(f334(f334(f249(a919),x62651),x62652))
% 164.74/165.09 [6271]P34(x62711,x62712,x62713)+~P107(f334(x62712,x62714))+~P107(f334(f334(f336(x62711),x62714),f334(f182(x62711),x62713)))
% 164.74/165.09 [6309]~P32(x63093,x63091,x63094)+P107(f334(x63091,x63092))+~P107(f334(f334(f336(x63093),x63092),f334(f182(x63093),x63094)))
% 164.74/165.09 [6311]~E(f334(f146(x63111,x63112),x63113),f126(x63111))+~P107(f334(x63112,x63114))+~P107(f334(f334(f336(x63111),x63114),f334(f182(x63111),x63113)))
% 164.74/165.09 [6312]~E(f187(x63123,x63121,x63124),x63124)+P107(f334(x63121,x63122))+~P107(f334(f334(f336(x63123),x63122),f334(f182(x63123),x63124)))
% 164.74/165.09 [6344]~E(x63444,f198(f926(x63442,a913)))+~E(x63443,f198(f926(x63441,a913)))+E(f320(x63441,x63442,x63443,x63444),f198(f926(f927(x63441,x63442),a913)))
% 164.74/165.09 [6486]P107(f334(x64861,x64862))+~P107(f334(f170(x64863,x64861),x64864))+~P107(f334(f334(f336(x64863),x64862),f334(f182(x64863),x64864)))
% 164.74/165.09 [6759]~P72(x67591)+E(f334(f334(f6(a919,x67591),x67592),f310(a919,x67593,f334(a125,x67594))),f2(x67591))+~P107(f334(f334(f249(a919),f334(a125,x67594)),x67593))
% 164.74/165.09 [6897]~P110(x68971)+E(f334(f334(f23(f926(x68971,a913)),f334(f309(x68971,x68972),x68973)),f334(f309(x68971,x68972),x68974)),f334(f309(x68971,x68974),x68973))+~P107(f334(f334(f248(x68971),x68972),x68974))
% 164.74/165.09 [6968]~E(x69683,x69684)+E(x69681,f2(a919))+P107(f334(f334(f336(x69682),x69683),f334(f182(x69682),f179(x69682,x69681,x69684))))
% 164.74/165.09 [7244]~P107(f334(f334(f336(f920(x72441)),x72444),f171(x72441,x72443)))+P107(f334(f334(f336(x72441),x72442),x72443))+~P107(f334(f334(f336(x72441),x72442),f334(f182(x72441),x72444)))
% 164.74/165.09 [7251]~P38(x72511,x72512)+P107(f334(f334(f336(x72511),f363(x72512,x72511,x72513)),x72513))+~P107(f334(f334(f336(x72511),x72514),x72513))
% 164.74/165.09 [7307]~P72(x73071)+E(f334(f334(f334(f74(x73071,x73072,f89(x73071)),x73073),f2(x73071)),x73074),f334(f334(f6(x73072,x73071),x73073),x73074))+~P107(f334(f70(x73072),x73074))
% 164.74/165.09 [7309]~P76(x73091)+E(f334(f334(f334(f74(x73091,x73092,f90(x73091)),x73093),f87(x73091)),x73094),f334(f334(f9(x73092,x73091),x73093),x73094))+~P107(f334(f70(x73092),x73094))
% 164.74/165.09 [7339]P23(x73391,x73392,x73393,x73394)+~E(f334(f44(x73392),f334(f317(x73391,x73392,x73393),x73394)),f334(f44(x73391),x73394))+~P107(f334(f70(x73391),x73394))
% 164.74/165.09 [7526]~P72(x75261)+E(f334(f334(f89(x75261),f334(x75262,x75263)),f334(f334(f6(a919,x75261),x75262),f312(a919,x75263,x75264))),f334(f334(f6(a919,x75261),x75262),f310(a919,x75263,x75264)))+~P107(f334(f334(f248(a919),x75263),x75264))
% 164.74/165.09 [7536]~P72(x75361)+~P23(x75362,x75361,x75363,x75364)+E(f334(f334(f6(x75361,x75361),f25(x75361)),f334(f317(x75362,x75361,x75363),x75364)),f334(f334(f6(x75362,x75361),x75363),x75364))
% 164.74/165.09 [7537]~P76(x75371)+~P23(x75372,x75371,x75373,x75374)+E(f334(f334(f9(x75371,x75371),f25(x75371)),f334(f317(x75372,x75371,x75373),x75374)),f334(f334(f9(x75372,x75371),x75373),x75374))
% 164.74/165.09 [7586]E(f334(f44(f927(x75861,x75862)),f320(x75861,x75862,x75863,x75864)),f334(f334(f89(a919),f334(f44(x75861),x75863)),f334(f44(x75862),x75864)))+~P107(f334(f70(x75862),x75864))+~P107(f334(f70(x75861),x75863))
% 164.74/165.09 [7667]E(x76671,x76672)+P107(f334(f334(f336(x76673),x76671),f334(f182(x76673),f180(x76673,x76672,x76674))))+~P107(f334(f334(f336(x76673),x76671),f334(f182(x76673),x76674)))
% 164.74/165.09 [7894]~P72(x78941)+E(f334(f334(f89(x78941),f334(f334(f6(a919,x78941),x78942),f334(f309(a919,x78943),x78944))),f334(x78942,x78944)),f334(f334(f6(a919,x78941),x78942),f334(f309(a919,x78943),f334(a125,x78944))))+P107(f334(f334(f249(a919),x78944),x78943))
% 164.74/165.09 [7948]~P23(x79481,x79482,x79483,f256(f926(x79481,a913)))+~P107(f334(f70(x79482),x79484))+P107(f334(f70(x79481),f334(f318(x79481,x79482,x79483),x79484)))
% 164.74/165.09 [8063]P107(f334(f334(f336(f920(x80631)),f334(f334(f161(x80631),x80632),x80633)),f171(x80631,x80634)))+~P107(f334(f334(f336(f920(x80631)),x80633),f171(x80631,x80634)))+~P107(f334(f334(f336(x80631),x80632),x80634))
% 164.74/165.09 [8151]~E(f334(f317(x81513,x81511,x81514),f256(f926(x81513,a913))),f256(f926(x81511,a913)))+P107(f334(f70(x81511),x81512))+~P107(f334(f70(x81513),f334(f318(x81513,x81511,x81514),x81512)))
% 164.74/165.09 [8248]~P23(x82481,x82483,x82484,x82482)+P107(f334(f70(x82481),x82482))+~P107(f334(f70(x82483),f334(f317(x82481,x82483,x82484),x82482)))
% 164.74/165.09 [8268]~E(x82682,x82683)+P107(f334(f334(f336(f925(x82681,x82681)),f334(f334(f266(x82681,x82681),x82682),x82683)),f255(x82681,x82684)))+~P107(f334(f334(f336(x82681),x82682),x82684))
% 164.74/165.09 [8304]~P72(x83041)+E(f334(f334(f89(x83041),f334(f334(f6(a919,x83041),x83042),f310(a919,x83043,x83044))),f334(x83042,f334(a125,x83044))),f334(f334(f6(a919,x83041),x83042),f310(a919,x83043,f334(a125,x83044))))+P107(f334(f334(f249(a919),f334(a125,x83044)),x83043))
% 164.74/165.09 [8365]P107(f334(x83651,x83652))+~P107(f334(x83651,f334(f334(f174(x83653),x83654),f724(x83651,x83654,x83653))))+~P107(f334(f334(f336(x83653),x83652),f334(f182(x83653),x83654)))
% 164.74/165.09 [8503]~P107(f334(f334(f336(x85031),x85032),f323(x85031,x85034)))+P107(f334(f334(f336(f920(x85031)),f334(f334(f161(x85031),x85032),x85033)),f323(f920(x85031),f167(x85031,x85034))))+~P107(f334(f334(f336(f920(x85031)),x85033),f323(f920(x85031),f167(x85031,x85034))))
% 164.74/165.09 [8518]~P23(x85182,x85183,x85184,f389(x85184,x85183,x85182,x85181))+P23(x85182,x85183,x85184,f47(f926(x85182,a913),x85181))+E(x85181,f198(f926(f926(x85182,a913),a913)))
% 164.74/165.09 [8801]E(x88011,x88012)+~P107(f334(f334(f336(f925(x88013,x88013)),f334(f334(f266(x88013,x88013),x88011),x88012)),f314(x88013,x88014)))+P107(f334(f334(f336(x88013),x88011),f334(f264(x88013,x88013),x88014)))
% 164.74/165.09 [9083]E(x90831,f2(a919))+P107(f334(x90832,x90833))+P107(f334(f334(f336(x90834),f830(x90832,x90833,x90831,x90834)),f334(f182(x90834),f179(x90834,x90831,x90833))))
% 164.74/165.09 [9094]E(x90941,f2(a919))+~P107(f334(x90943,x90944))+P107(f334(f334(f336(x90942),f828(x90943,x90944,x90941,x90942)),f334(f182(x90942),f179(x90942,x90941,x90944))))
% 164.74/165.09 [9097]~P24(x90971,x90972,x90973,f256(f926(x90971,a913)),f256(f926(x90972,a913)))+~P107(f334(f70(x90972),x90974))+P107(f334(f70(x90971),f334(f318(x90971,x90972,x90973),x90974)))
% 164.74/165.09 [9102]P23(x91022,x91023,x91024,f47(f926(x91022,a913),x91021))+E(x91021,f198(f926(f926(x91022,a913),a913)))+P107(f334(f334(f336(f926(x91022,a913)),f389(x91024,x91023,x91022,x91021)),x91021))
% 164.74/165.09 [9223]~P24(x92233,x92231,x92234,f256(f926(x92233,a913)),f256(f926(x92231,a913)))+P107(f334(f70(x92231),x92232))+~P107(f334(f70(x92233),f334(f318(x92233,x92231,x92234),x92232)))
% 164.74/165.09 [9240]P107(f334(f70(x92401),x92402))+~P107(f334(f70(x92404),f334(f317(x92401,x92404,x92403),x92402)))+P107(f334(f334(f336(x92401),f623(x92403,x92404,x92402,x92401)),x92402))
% 164.74/165.09 [9335]~P3(x93352)+E(f334(f334(f73(x93351,x93352,f334(f334(f8(x93352,f926(x93352,x93352),x93351),f123(x93352)),x93353)),f198(x93352)),x93354),f334(f334(f48(x93351,x93352),x93354),x93353))+~P107(f334(f70(x93351),x93354))
% 164.74/165.09 [9336]~P3(x93362)+E(f334(f334(f73(x93361,x93362,f334(f334(f8(x93362,f926(x93362,x93362),x93361),f114(x93362)),x93363)),f256(x93362)),x93364),f334(f334(f49(x93361,x93362),x93364),x93363))+~P107(f334(f70(x93361),x93364))
% 164.74/165.09 [9421]P107(f334(x94211,x94212))+~P107(f334(x94211,f334(f334(f174(x94213),x94214),f757(x94212,x94211,x94214,x94213))))+~P107(f334(f334(f336(x94213),x94212),f334(f182(x94213),x94214)))
% 164.74/165.09 [9440]E(x94401,x94402)+~P107(f334(f334(f336(f925(x94403,x94403)),f334(f334(f266(x94403,x94403),x94401),x94402)),f314(x94403,x94404)))+P107(f334(f334(f336(f925(x94403,x94403)),f334(f334(f266(x94403,x94403),x94401),x94402)),f334(f334(f296(x94403,x94403,x94403),x94404),f314(x94403,x94404))))
% 164.74/165.09 [9495]~E(f334(f199(f920(x94951)),x94952),f334(f199(f920(x94951)),x94953))+~P107(f334(f334(f336(f925(f920(x94951),f920(x94951))),f334(f334(f266(f920(x94951),f920(x94951)),x94952),x94953)),f157(x94951,x94954)))+P107(f334(f334(f336(f925(f920(x94951),f920(x94951))),f334(f334(f266(f920(x94951),f920(x94951)),x94952),x94953)),f155(x94951,x94954)))
% 164.74/165.09 [9742]P32(x97421,f334(f334(f18(x97421,a913,a913),f334(f334(f8(a913,f926(a913,a913),x97421),a332),f334(f334(f8(a913,a913,x97421),a329),x97422))),f334(a331,x97423)),x97424)+~P107(f334(x97422,x97423))+~P36(x97421,x97422,f334(f334(f161(x97421),x97423),x97424))
% 164.74/165.09 [9907]~P32(x99071,f334(f334(f18(x99071,a913,a913),f334(f334(f8(a913,f926(a913,a913),x99071),a332),f334(f334(f8(a913,a913,x99071),a329),x99072))),f334(a331,x99073)),x99074)+~P107(f334(x99072,x99073))+P36(x99071,x99072,f334(f334(f161(x99071),x99073),x99074))
% 164.74/165.09 [9911]~P36(x99111,x99112,x99114)+~P32(x99111,f334(f334(f18(x99111,a913,a913),f334(f334(f8(a913,f926(a913,a913),x99111),a332),f334(f334(f8(a913,a913,x99111),a329),x99112))),f334(a331,x99113)),x99114)+P36(x99111,x99112,f334(f334(f161(x99111),x99113),x99114))
% 164.74/165.09 [9946]~P63(x99461)+E(f334(f334(f6(a919,x99461),f334(f334(f18(a919,x99461,x99461),f334(f334(f8(x99461,f926(x99461,x99461),a919),f23(x99461)),x99462)),f334(f334(f8(a919,x99461,a919),x99462),f334(f334(f7(a919,a919,a919),f89(a919)),f87(a919))))),f310(a919,x99463,x99464)),f2(x99461))+P107(f334(f334(f248(a919),x99463),x99464))
% 164.74/165.09 [10185]~P38(x101852,x101854)+~P23(x101852,x101851,x101853,f256(f926(x101852,a913)))+P38(x101851,f334(f317(f925(x101852,x101852),f925(x101851,x101851),f271(x101852,x101851,x101852,x101851,x101853,x101853)),x101854))
% 164.74/165.09 [10365]~E(f334(f199(f920(x103651)),x103653),f334(f199(f920(x103651)),x103652))+P107(f334(f334(f336(f925(f920(x103651),f920(x103651))),f334(f334(f266(f920(x103651),f920(x103651)),x103652),x103653)),f168(x103651,x103654)))+~P107(f334(f334(f270(x103651,x103651,a913),f334(f334(f7(x103651,f926(f925(x103651,x103651),a913),f926(x103651,a913)),f334(f334(f8(f926(x103651,f926(f926(f925(x103651,x103651),a913),a913)),f926(f926(f925(x103651,x103651),a913),f926(x103651,a913)),x103651),f7(x103651,f926(f925(x103651,x103651),a913),a913)),f334(f334(f8(f926(x103651,f925(x103651,x103651)),f926(x103651,f926(f926(f925(x103651,x103651),a913),a913)),x103651),f334(f8(f925(x103651,x103651),f926(f926(f925(x103651,x103651),a913),a913),x103651),f336(f925(x103651,x103651)))),f266(x103651,x103651)))),x103654)),f727(x103654,x103653,x103652,x103651)))
% 164.74/165.09 [6137]~E(x61374,x61372)+P107(f334(x61371,x61372))+P107(f334(f334(f204(f33(x61371,x61373)),x61372),x61374))
% 164.74/165.09 [6229]~P60(x62291)+~E(x62292,f2(x62291))+E(f334(f334(f45(x62291),f334(f334(f90(x62291),x62292),x62293)),f334(f334(f90(x62291),x62292),x62294)),f2(x62291))
% 164.74/165.09 [6268]E(x62681,f126(x62682))+E(x62683,f334(f334(f23(a919),f334(f199(f920(x62682)),x62681)),f87(a919)))+E(f154(x62682,f334(f334(f169(x62682,x62681),x62683),x62684)),f154(x62682,x62681))
% 164.74/165.09 [6300]E(x63001,x63002)+P107(f334(x63003,x63002))+~P107(f334(f334(f334(f316(x63004),x63001),x63003),x63002))
% 164.74/165.09 [6316]~P72(x63161)+~P107(f334(f147(x63162),x63164))+E(f334(f175(x63161),f334(f334(f164(x63162,x63161),x63163),x63164)),f334(f334(f6(x63162,x63161),x63163),f334(f182(x63162),x63164)))
% 164.74/165.09 [6337]~P76(x63372)+~P107(f334(f70(x63371),x63374))+E(f334(f334(f9(x63371,x63372),f334(f16(x63372,x63371),x63373)),x63374),f334(f334(f258(x63372),x63373),f334(f44(x63371),x63374)))
% 164.74/165.09 [6390]~P60(x63902)+E(x63901,f2(x63902))+E(f334(f334(f45(x63902),f334(f334(f90(x63902),x63903),x63901)),f334(f334(f90(x63902),x63904),x63901)),f334(f334(f45(x63902),x63903),x63904))
% 164.74/165.09 [6392]~P65(x63922)+E(x63921,f2(x63922))+E(f334(f334(f297(x63922),f334(f334(f90(x63922),x63923),x63921)),f334(f334(f90(x63922),x63924),x63921)),f334(f334(f297(x63922),x63923),x63924))
% 164.74/165.09 [6393]~P65(x63932)+E(x63931,f2(x63932))+E(f334(f334(f297(x63932),f334(f334(f90(x63932),x63931),x63933)),f334(f334(f90(x63932),x63931),x63934)),f334(f334(f297(x63932),x63933),x63934))
% 164.74/165.09 [6394]~P60(x63942)+E(x63941,f2(x63942))+E(f334(f334(f45(x63942),f334(f334(f90(x63942),x63941),x63943)),f334(f334(f90(x63942),x63941),x63944)),f334(f334(f45(x63942),x63943),x63944))
% 164.74/165.09 [6456]P107(f334(x64561,x64562))+~E(x64563,f334(f334(f89(a919),x64564),x64562))+~P107(f334(x64561,f334(f334(f23(a919),x64563),x64564)))
% 164.74/165.09 [6538]P28(x65381,x65382,x65383)+P29(x65381,f612(x65383,x65382,x65381),x65384)+~P107(f334(f334(f336(f918(x65381)),x65384),x65382))
% 164.74/165.09 [6540]~P107(f334(x65402,x65403))+~P107(f334(f170(x65401,x65402),x65404))+P107(f334(f170(x65401,x65402),f334(f334(f161(x65401),x65403),x65404)))
% 164.74/165.09 [6582]E(x65821,f126(x65822))+~E(x65823,f334(f334(f23(a919),f334(f199(f920(x65822)),x65821)),f87(a919)))+E(f154(x65822,f334(f334(f169(x65822,x65821),x65823),x65824)),x65824)
% 164.74/165.09 [6605]~P102(x66051)+~P107(f334(f334(f248(x66051),x66052),x66054))+P107(f334(f334(f248(x66051),x66052),f334(f334(f123(x66051),x66053),x66054)))
% 164.74/165.09 [6606]~P102(x66061)+~P107(f334(f334(f248(x66061),x66062),x66063))+P107(f334(f334(f248(x66061),x66062),f334(f334(f123(x66061),x66063),x66064)))
% 164.74/165.09 [6608]~P110(x66081)+~P107(f334(f334(f248(x66081),x66082),x66084))+P107(f334(f334(f248(x66081),x66082),f334(f334(f247(x66081),x66083),x66084)))
% 164.74/165.09 [6610]~P110(x66101)+~P107(f334(f334(f248(x66101),x66102),x66103))+P107(f334(f334(f248(x66101),x66102),f334(f334(f247(x66101),x66103),x66104)))
% 164.74/165.09 [6611]~P102(x66111)+~P107(f334(f334(f249(x66111),x66112),x66114))+P107(f334(f334(f249(x66111),x66112),f334(f334(f123(x66111),x66113),x66114)))
% 164.74/165.09 [6612]~P102(x66121)+~P107(f334(f334(f249(x66121),x66122),x66123))+P107(f334(f334(f249(x66121),x66122),f334(f334(f123(x66121),x66123),x66124)))
% 164.74/165.09 [6614]~P110(x66141)+~P107(f334(f334(f249(x66141),x66142),x66144))+P107(f334(f334(f249(x66141),x66142),f334(f334(f247(x66141),x66143),x66144)))
% 164.74/165.09 [6616]~P110(x66161)+~P107(f334(f334(f249(x66161),x66162),x66163))+P107(f334(f334(f249(x66161),x66162),f334(f334(f247(x66161),x66163),x66164)))
% 164.74/165.09 [6704]~E(f334(f334(f174(x67041),x67042),x67043),x67044)+E(f334(f334(f169(x67041,x67042),x67043),x67044),x67042)+~P107(f334(f334(f249(a919),x67043),f334(f199(f920(x67041)),x67042)))
% 164.74/165.09 [6722]E(x67221,x67222)+P107(f334(x67223,x67221))+~P107(f334(f334(f204(f33(x67223,x67224)),x67221),x67222))
% 164.74/165.09 [6745]P107(f334(x67451,x67452))+~P107(f334(x67453,x67452))+~P107(f334(f334(f248(f926(x67454,a913)),x67453),x67451))
% 164.74/165.09 [6777]~E(f334(f334(f169(x67771,x67772),x67773),x67774),x67772)+E(f334(f334(f174(x67771),x67772),x67773),x67774)+~P107(f334(f334(f249(a919),x67773),f334(f199(f920(x67771)),x67772)))
% 164.74/165.09 [6791]~P107(f334(f170(x67911,x67912),x67914))+~P107(f334(f170(x67911,x67912),x67913))+P107(f334(f170(x67911,x67912),f334(f334(f144(x67911),x67913),x67914)))
% 164.74/165.09 [6886]P29(x68861,x68862,x68863)+~P29(x68861,f334(a125,x68862),f650(x68862,x68864,x68861))+~P107(f334(f334(f336(f918(x68861)),x68863),x68864))
% 164.74/165.09 [6893]E(x68931,f198(f926(x68932,a913)))+E(x68933,f198(f926(x68934,a913)))+~E(f334(f334(f268(x68934,x68932),x68933),f334(f16(f926(x68932,a913),x68934),x68931)),f198(f926(f925(x68934,x68932),a913)))
% 164.74/165.09 [6912]E(x69121,x69122)+P107(f334(f334(f336(x69123),x69121),x69124))+~P107(f334(f334(f336(x69123),x69121),f334(f334(f316(x69123),x69122),x69124)))
% 164.74/165.09 [6929]~P110(x69291)+P107(f334(f334(f248(x69291),x69292),x69293))+~P107(f334(f334(f248(x69291),x69292),f334(f334(f246(x69291),x69294),x69293)))
% 164.74/165.09 [6931]~P110(x69311)+P107(f334(f334(f248(x69311),x69312),x69313))+~P107(f334(f334(f248(x69311),x69312),f334(f334(f246(x69311),x69313),x69314)))
% 164.74/165.09 [6933]~P103(x69331)+P107(f334(f334(f248(x69331),x69332),x69333))+~P107(f334(f334(f248(x69331),x69332),f334(f334(f114(x69331),x69334),x69333)))
% 164.74/165.09 [6935]~P103(x69351)+P107(f334(f334(f248(x69351),x69352),x69353))+~P107(f334(f334(f248(x69351),x69352),f334(f334(f114(x69351),x69353),x69354)))
% 164.74/165.09 [6936]~P110(x69361)+P107(f334(f334(f249(x69361),x69362),x69363))+~P107(f334(f334(f249(x69361),x69362),f334(f334(f246(x69361),x69364),x69363)))
% 164.74/165.09 [6937]~P110(x69371)+P107(f334(f334(f249(x69371),x69372),x69373))+~P107(f334(f334(f249(x69371),x69372),f334(f334(f246(x69371),x69373),x69374)))
% 164.74/165.09 [6959]~E(f334(f334(f174(x69591),x69593),x69594),x69592)+P107(f334(f334(f336(x69591),x69592),f334(f182(x69591),x69593)))+~P107(f334(f334(f249(a919),x69594),f334(f199(f920(x69591)),x69593)))
% 164.74/165.09 [6969]~P110(x69691)+~P12(x69691,f334(f334(f161(x69691),x69692),f334(f334(f161(x69691),x69693),x69694)))+P107(f334(f334(f248(x69691),x69692),x69693))
% 164.74/165.09 [7109]~P32(x71092,x71091,x71093)+P107(f334(x71091,f334(f334(f174(x71092),x71093),x71094)))+~P107(f334(f334(f249(a919),x71094),f334(f199(f920(x71092)),x71093)))
% 164.74/165.09 [7127]E(x71271,f2(a1))+E(f334(f334(f45(a1),x71272),x71271),x71273)+~P107(f334(f58(x71272,x71271),f334(f334(f266(a1,a1),x71273),x71274)))
% 164.74/165.09 [7148]E(f54(a1,x71482,x71481),x71483)+E(x71481,f2(a1))+~P107(f334(f58(x71482,x71481),f334(f334(f266(a1,a1),x71484),x71483)))
% 164.74/165.09 [7268]P107(f334(f334(f336(x72681),x72682),x72683))+~P107(f334(f334(f336(x72681),x72682),x72684))+~P107(f334(f334(f249(f926(x72681,a913)),x72684),x72683))
% 164.74/165.09 [7269]P107(f334(f334(f336(x72691),x72692),x72693))+~P107(f334(f334(f336(x72691),x72692),x72694))+~P107(f334(f334(f248(f926(x72691,a913)),x72694),x72693))
% 164.74/165.09 [7380]P34(x73801,x73802,x73803)+~P107(f334(x73802,f334(f334(f174(x73801),x73803),x73804)))+~P107(f334(f334(f249(a919),x73804),f334(f199(f920(x73801)),x73803)))
% 164.74/165.09 [7493]~P109(x74932)+~P107(f334(f334(f249(f926(x74931,x74932)),x74933),x74934))+P107(f334(f334(f248(f926(x74931,x74932)),x74933),x74934))
% 164.74/165.09 [7575]~P22(x75751,x75752,x75754)+P22(x75751,x75752,f334(f334(f316(f918(x75751)),x75753),x75754))+~P22(x75751,x75752,f334(f334(f316(f918(x75751)),x75753),f198(f926(f918(x75751),a913))))
% 164.74/165.09 [7618]~P107(f334(f334(f336(x76181),x76182),x76184))+P107(f334(f334(f336(x76181),x76182),f46(f926(x76181,a913),x76183)))+~P107(f334(f334(f336(f926(x76181,a913)),x76184),x76183))
% 164.74/165.09 [7628]P29(x76281,x76282,x76283)+P107(f334(f334(f336(f918(x76281)),f650(x76282,x76284,x76281)),x76284))+~P107(f334(f334(f336(f918(x76281)),x76283),x76284))
% 164.74/165.09 [7647]~P89(x76471)+~P107(f334(f334(f248(x76471),x76473),x76474))+P107(f334(f334(f248(x76471),f334(f334(f89(x76471),x76472),x76473)),f334(f334(f89(x76471),x76472),x76474)))
% 164.74/165.09 [7648]~P90(x76481)+~P107(f334(f334(f248(x76481),x76483),x76484))+P107(f334(f334(f248(x76481),f334(f334(f89(x76481),x76482),x76483)),f334(f334(f89(x76481),x76482),x76484)))
% 164.74/165.09 [7649]~P89(x76491)+~P107(f334(f334(f248(x76491),x76492),x76494))+P107(f334(f334(f248(x76491),f334(f334(f89(x76491),x76492),x76493)),f334(f334(f89(x76491),x76494),x76493)))
% 164.74/165.09 [7650]~P90(x76501)+~P107(f334(f334(f248(x76501),x76502),x76504))+P107(f334(f334(f248(x76501),f334(f334(f89(x76501),x76502),x76503)),f334(f334(f89(x76501),x76504),x76503)))
% 164.74/165.09 [7651]~P88(x76511)+~P107(f334(f334(f249(x76511),x76513),x76514))+P107(f334(f334(f249(x76511),f334(f334(f89(x76511),x76512),x76513)),f334(f334(f89(x76511),x76512),x76514)))
% 164.74/165.09 [7652]~P89(x76521)+~P107(f334(f334(f249(x76521),x76523),x76524))+P107(f334(f334(f249(x76521),f334(f334(f89(x76521),x76522),x76523)),f334(f334(f89(x76521),x76522),x76524)))
% 164.74/165.09 [7653]~P88(x76531)+~P107(f334(f334(f249(x76531),x76532),x76534))+P107(f334(f334(f249(x76531),f334(f334(f89(x76531),x76532),x76533)),f334(f334(f89(x76531),x76534),x76533)))
% 164.74/165.09 [7654]~P89(x76541)+~P107(f334(f334(f249(x76541),x76542),x76544))+P107(f334(f334(f249(x76541),f334(f334(f89(x76541),x76542),x76543)),f334(f334(f89(x76541),x76544),x76543)))
% 164.74/165.09 [7661]~P113(x76611)+~P98(x76611)+E(f334(f334(f23(x76611),f334(f334(f90(x76611),x76612),f334(f116(x76611),x76613))),f334(f334(f90(x76611),x76614),f334(f116(x76611),x76613))),f334(f334(f90(x76611),f334(f334(f23(x76611),x76612),x76614)),f334(f116(x76611),x76613)))
% 164.74/165.09 [7662]~P140(x76621)+~P98(x76621)+E(f334(f334(f89(x76621),f334(f334(f90(x76621),x76622),f334(f116(x76621),x76623))),f334(f334(f90(x76621),x76624),f334(f116(x76621),x76623))),f334(f334(f90(x76621),f334(f334(f89(x76621),x76622),x76624)),f334(f116(x76621),x76623)))
% 164.74/165.09 [7698]~P72(x76981)+E(f334(f334(f89(x76981),f334(x76982,x76983)),f334(f334(f6(a919,x76981),x76982),f310(a919,f334(a125,x76983),x76984))),f334(f334(f6(a919,x76981),x76982),f310(a919,x76983,x76984)))+~P107(f334(f334(f248(a919),x76983),x76984))
% 164.74/165.09 [7710]~P23(x77102,x77101,x77103,f334(f182(x77102),x77104))+~P107(f334(f147(x77102),x77104))+P107(f334(f147(x77101),f334(f334(f164(x77102,x77101),x77103),x77104)))
% 164.74/165.09 [7757]~P107(f334(f334(f248(a919),x77572),x77574))+~P107(f334(f334(f248(a919),x77571),x77573))+P107(f334(f334(f248(a919),f334(f334(f90(a919),x77571),x77572)),f334(f334(f90(a919),x77573),x77574)))
% 164.74/165.09 [7758]~P107(f334(f334(f248(a919),x77582),x77584))+~P107(f334(f334(f248(a919),x77581),x77583))+P107(f334(f334(f248(a919),f334(f334(f89(a919),x77581),x77582)),f334(f334(f89(a919),x77583),x77584)))
% 164.74/165.09 [7761]~P107(f334(f334(f249(a919),x77612),x77614))+~P107(f334(f334(f249(a919),x77611),x77613))+P107(f334(f334(f249(a919),f334(f334(f89(a919),x77611),x77612)),f334(f334(f89(a919),x77613),x77614)))
% 164.74/165.09 [7762]~P107(f334(f334(f248(a1),x77622),x77624))+~P107(f334(f334(f249(a1),x77621),x77623))+P107(f334(f334(f249(a1),f334(f334(f89(a1),x77621),x77622)),f334(f334(f89(a1),x77623),x77624)))
% 164.74/165.09 [7809]P107(f334(f334(f336(x78091),x78092),x78093))+~P107(f334(f334(f336(x78091),x78092),f47(f926(x78091,a913),x78094)))+~P107(f334(f334(f336(f926(x78091,a913)),x78093),x78094))
% 164.74/165.09 [7825]~P107(f334(x78251,f720(x78251,x78253,x78252)))+P107(f334(x78251,f334(f334(f174(x78252),x78253),x78254)))+~P107(f334(f334(f249(a919),x78254),f334(f199(f920(x78252)),x78253)))
% 164.74/165.09 [7832]P107(f334(x78321,x78322))+~P107(f334(f334(f336(x78324),x78322),f334(f182(x78324),x78323)))+P107(f334(f334(f249(a919),f724(x78321,x78323,x78324)),f334(f199(f920(x78324)),x78323)))
% 164.74/165.09 [7849]~P107(f334(f334(f204(x78492),x78493),x78494))+~P107(f334(f334(f204(f33(x78491,x78492)),x78494),x78493))+P107(f334(f334(f204(f33(x78491,x78492)),x78493),x78493))
% 164.74/165.09 [7879]~P109(x78791)+~P107(f334(f334(f249(f926(x78792,x78791)),x78794),x78793))+~P107(f334(f334(f248(f926(x78792,x78791)),x78793),x78794))
% 164.74/165.09 [7925]~P107(f334(x79254,x79252))+~P107(f334(f334(f336(x79251),x79252),x79253))+P107(f334(f334(f336(x79251),x79252),f334(f334(f114(f926(x79251,a913)),x79253),f334(f254(x79251),x79254))))
% 164.74/165.09 [8070]~P107(f334(f334(f336(x80701),x80703),x80704))+~P107(f334(f334(f249(f926(x80701,a913)),x80702),x80704))+P107(f334(f334(f249(f926(x80701,a913)),x80702),f334(f334(f316(x80701),x80703),x80704)))
% 164.74/165.09 [8072]E(f334(f334(f114(f926(x80721,a913)),x80722),x80723),f198(f926(x80721,a913)))+~E(f334(f334(f114(f926(x80721,a913)),f46(f926(x80721,a913),x80724)),x80723),f198(f926(x80721,a913)))+~P107(f334(f334(f336(f926(x80721,a913)),x80722),x80724))
% 164.74/165.09 [8147]P107(f334(f334(f336(x81471),x81472),x81473))+~P107(f334(f334(f248(f926(x81471,a913)),x81473),f334(f334(f316(x81471),x81472),x81474)))+P107(f334(f334(f248(f926(x81471,a913)),x81473),x81474))
% 164.74/165.09 [8167]P107(f334(f334(f336(x81672),f720(x81671,x81673,x81672)),f334(f182(x81672),x81673)))+P107(f334(x81671,f334(f334(f174(x81672),x81673),x81674)))+~P107(f334(f334(f249(a919),x81674),f334(f199(f920(x81672)),x81673)))
% 164.74/165.09 [8175]~P107(f334(f334(f248(f926(x81751,a913)),x81752),x81754))+P107(f334(f334(f248(f926(x81751,a913)),x81752),x81753))+~P107(f334(f334(f248(f926(x81751,a913)),x81754),x81753))
% 164.74/165.09 [8176]~P107(f334(f334(f249(f926(x81761,a913)),x81762),x81764))+~P107(f334(f334(f248(f926(x81761,a913)),x81764),x81763))+P107(f334(f334(f249(f926(x81761,a913)),x81762),x81763))
% 164.74/165.09 [8177]~P107(f334(f334(f248(f926(x81771,a913)),x81772),x81774))+~P107(f334(f334(f249(f926(x81771,a913)),x81774),x81773))+P107(f334(f334(f249(f926(x81771,a913)),x81772),x81773))
% 164.74/165.09 [8178]~P107(f334(f334(f249(f926(x81781,a913)),x81782),x81784))+P107(f334(f334(f249(f926(x81781,a913)),x81782),x81783))+~P107(f334(f334(f249(f926(x81781,a913)),x81784),x81783))
% 164.74/165.09 [8221]~P107(f334(f334(f336(x82211),x82214),x82213))+~P107(f334(f334(f249(f926(x82211,a913)),x82212),f334(f334(f316(x82211),x82214),x82213)))+P107(f334(f334(f249(f926(x82211,a913)),x82212),x82213))
% 164.74/165.09 [8234]~P89(x82341)+P107(f334(f334(f248(x82341),x82342),x82343))+~P107(f334(f334(f248(x82341),f334(f334(f89(x82341),x82344),x82342)),f334(f334(f89(x82341),x82344),x82343)))
% 164.74/165.09 [8236]~P89(x82361)+P107(f334(f334(f248(x82361),x82362),x82363))+~P107(f334(f334(f248(x82361),f334(f334(f89(x82361),x82362),x82364)),f334(f334(f89(x82361),x82363),x82364)))
% 164.74/165.09 [8238]~P89(x82381)+P107(f334(f334(f249(x82381),x82382),x82383))+~P107(f334(f334(f249(x82381),f334(f334(f89(x82381),x82384),x82382)),f334(f334(f89(x82381),x82384),x82383)))
% 164.74/165.09 [8240]~P89(x82401)+P107(f334(f334(f249(x82401),x82402),x82403))+~P107(f334(f334(f249(x82401),f334(f334(f89(x82401),x82402),x82404)),f334(f334(f89(x82401),x82403),x82404)))
% 164.74/165.09 [8287]P107(f334(x82871,x82872))+~E(f334(f334(f148(x82873),f334(f199(f920(x82873)),f187(x82873,x82871,x82874))),x82874),f126(x82873))+~P107(f334(f334(f336(x82873),x82872),f334(f182(x82873),x82874)))
% 164.74/165.09 [8407]P107(f334(x84071,x84072))+~P107(f334(f334(f336(x84073),x84072),f334(f182(x84073),x84074)))+P107(f334(f334(f249(a919),f334(f199(f920(x84073)),f334(f146(x84073,x84071),x84074))),f334(f199(f920(x84073)),x84074)))
% 164.74/165.09 [8536]E(x85361,x85362)+P107(f334(f334(f204(x85363),x85361),f463(x85362,x85361,x85363,x85364)))+~P107(f334(f334(f204(f33(x85364,x85363)),x85361),x85362))
% 164.74/165.09 [8537]E(x85371,x85372)+P107(f334(f334(f204(x85373),x85371),f570(x85372,x85371,x85373,x85374)))+~P107(f334(f334(f204(f33(x85374,x85373)),x85371),x85372))
% 164.74/165.09 [8566]~P107(f334(x85664,x85662))+P107(f334(f334(f204(x85661),x85662),f463(x85663,x85662,x85661,x85664)))+~P107(f334(f334(f204(f33(x85664,x85661)),x85662),x85663))
% 164.74/165.09 [8567]~P107(f334(x85674,x85672))+P107(f334(f334(f204(x85671),x85672),f570(x85673,x85672,x85671,x85674)))+~P107(f334(f334(f204(f33(x85674,x85671)),x85672),x85673))
% 164.74/165.09 [8906]~P107(f334(x89061,f801(x89061,x89063,x89062,x89064)))+P107(f334(x89061,f334(f334(f174(x89062),x89063),x89064)))+~P107(f334(f334(f249(a919),x89064),f334(f199(f920(x89062)),x89063)))
% 164.74/165.09 [8929]~P23(x89294,x89293,x89291,f256(f926(x89294,a913)))+E(f334(x89291,f886(x89292,x89291,x89293,x89294)),x89292)+~P107(f334(f334(f336(x89293),x89292),f334(f317(x89294,x89293,x89291),f256(f926(x89294,a913)))))
% 164.74/165.09 [8997]E(f187(x89971,x89972,x89973),f334(f334(f185(x89971),x89974),x89973))+P107(f334(f334(f249(a919),f784(x89972,x89973,x89971,x89974)),x89974))+P107(f334(f334(f249(a919),x89974),f334(f199(f920(x89971)),x89973)))
% 164.74/165.09 [9000]E(f187(x90001,x90002,x90003),f334(f334(f185(x90001),x90004),x90003))+P107(f334(f334(f249(a919),f784(x90002,x90003,x90001,x90004)),x90004))+P107(f334(x90002,f334(f334(f174(x90001),x90003),x90004)))
% 164.74/165.09 [9034]P107(f334(x90341,x90342))+~P107(f334(f334(f336(x90344),x90342),f334(f182(x90344),x90343)))+P107(f334(f334(f249(a919),f757(x90342,x90341,x90343,x90344)),f334(f199(f920(x90344)),x90343)))
% 164.74/165.09 [9037]E(f187(x90371,x90372,x90373),f334(f334(f185(x90371),x90374),x90373))+P107(f334(f334(f249(a919),x90374),f334(f199(f920(x90371)),x90373)))+P107(f334(f334(f249(a919),f784(x90372,x90373,x90371,x90374)),f334(f199(f920(x90371)),x90373)))
% 164.74/165.09 [9044]E(f187(x90441,x90442,x90443),f334(f334(f185(x90441),x90444),x90443))+P107(f334(x90442,f334(f334(f174(x90441),x90443),x90444)))+P107(f334(f334(f249(a919),f784(x90442,x90443,x90441,x90444)),f334(f199(f920(x90441)),x90443)))
% 164.74/165.09 [9073]~P125(x90734)+P107(f334(f334(f336(x90731),f705(x90732,x90733,x90731,x90734)),x90733))+P107(f334(f334(f249(x90734),f2(x90734)),f334(f334(f9(x90731,x90734),x90732),x90733)))
% 164.74/165.09 [9074]~P125(x90744)+P107(f334(f334(f336(x90741),f708(x90742,x90743,x90741,x90744)),x90743))+P107(f334(f334(f248(x90744),f2(x90744)),f334(f334(f9(x90741,x90744),x90742),x90743)))
% 164.74/165.09 [9104]~P107(f334(f70(x91041),x91044))+P107(f334(f334(f336(x91041),f436(x91042,x91043,x91044,x91041)),x91044))+P107(f334(f70(f925(x91041,x91043)),f334(f334(f268(x91041,x91043),x91044),x91042)))
% 164.74/165.09 [9138]P107(f334(f334(f336(x91382),f801(x91381,x91383,x91382,x91384)),f334(f182(x91382),x91383)))+P107(f334(x91381,f334(f334(f174(x91382),x91383),x91384)))+~P107(f334(f334(f249(a919),x91384),f334(f199(f920(x91382)),x91383)))
% 164.74/165.09 [9153]E(x91531,x91532)+P107(f334(f334(f204(f33(x91533,x91534)),f463(x91531,x91532,x91534,x91533)),x91531))+~P107(f334(f334(f204(f33(x91533,x91534)),x91532),x91531))
% 164.74/165.09 [9154]E(x91541,x91542)+P107(f334(f334(f204(f33(x91543,x91544)),f570(x91541,x91542,x91544,x91543)),x91541))+~P107(f334(f334(f204(f33(x91543,x91544)),x91542),x91541))
% 164.74/165.09 [9174]~P107(f334(x91741,x91744))+P107(f334(f334(f204(f33(x91741,x91742)),f463(x91743,x91744,x91742,x91741)),x91743))+~P107(f334(f334(f204(f33(x91741,x91742)),x91744),x91743))
% 164.74/165.09 [9175]~P107(f334(x91751,x91754))+P107(f334(f334(f204(f33(x91751,x91752)),f570(x91753,x91754,x91752,x91751)),x91753))+~P107(f334(f334(f204(f33(x91751,x91752)),x91754),x91753))
% 164.74/165.09 [9272]P107(f334(f334(f248(a919),x92724),f334(f199(f920(x92722)),f187(x92722,x92723,x92721))))+P107(f334(f334(f249(a919),f785(x92721,x92722,x92723,x92724)),x92724))+~P107(f334(f334(f248(a919),x92724),f334(f199(f920(x92722)),x92721)))
% 164.74/165.09 [9425]E(f187(x94251,x94252,x94253),f334(f334(f185(x94251),x94254),x94253))+~P107(f334(x94252,f334(f334(f174(x94251),x94253),f784(x94252,x94253,x94251,x94254))))+P107(f334(f334(f249(a919),x94254),f334(f199(f920(x94251)),x94253)))
% 164.74/165.09 [9430]E(f187(x94301,x94302,x94303),f334(f334(f185(x94301),x94304),x94303))+~P107(f334(x94302,f334(f334(f174(x94301),x94303),f784(x94302,x94303,x94301,x94304))))+P107(f334(x94302,f334(f334(f174(x94301),x94303),x94304)))
% 164.74/165.09 [9434]~P107(f334(f70(x94341),x94343))+~P107(f334(f70(x94342),f334(x94344,f436(x94344,x94342,x94343,x94341))))+P107(f334(f70(f925(x94341,x94342)),f334(f334(f268(x94341,x94342),x94343),x94344)))
% 164.74/165.09 [9442]~P125(x94421)+~P107(f334(f334(f248(x94421),f2(x94421)),f334(x94423,f708(x94423,x94424,x94422,x94421))))+P107(f334(f334(f248(x94421),f2(x94421)),f334(f334(f9(x94422,x94421),x94423),x94424)))
% 164.74/165.09 [9443]~P125(x94431)+~P107(f334(f334(f249(x94431),f2(x94431)),f334(x94433,f705(x94433,x94434,x94432,x94431))))+P107(f334(f334(f249(x94431),f2(x94431)),f334(f334(f9(x94432,x94431),x94433),x94434)))
% 164.74/165.09 [9451]~E(f334(f199(f920(x94514)),x94512),f334(f199(f920(x94514)),x94513))+P107(f334(f334(f336(f925(f920(x94514),f920(x94514))),f334(f334(f266(f920(x94514),f920(x94514)),x94513),x94512)),f168(x94514,x94511)))+P107(f334(f334(f249(a919),f709(x94511,x94512,x94513,x94514)),f334(f199(f920(x94514)),x94513)))
% 164.74/165.09 [9508]~P107(f334(x95083,f334(f334(f174(x95082),x95084),f785(x95084,x95082,x95083,x95081))))+P107(f334(f334(f248(a919),x95081),f334(f199(f920(x95082)),f187(x95082,x95083,x95084))))+~P107(f334(f334(f248(a919),x95081),f334(f199(f920(x95082)),x95084)))
% 164.74/165.09 [9589]E(f334(f334(f185(x95891),f722(x95892,x95893,x95894,x95891)),x95893),f334(f334(f185(x95891),f722(x95892,x95893,x95894,x95891)),x95894))+~P107(f334(f334(f336(f925(f920(x95891),f920(x95891))),f334(f334(f266(f920(x95891),f920(x95891)),x95894),x95893)),f157(x95891,x95892)))+P107(f334(f334(f249(a919),f334(f199(f920(x95891)),x95894)),f334(f199(f920(x95891)),x95893)))
% 164.74/165.09 [9645]~P107(f334(f334(f249(a919),f2(a919)),x96453))+~P107(f334(f334(f249(a919),x96454),x96451))+P107(f334(f334(f249(a919),f334(f334(f89(a919),f334(f334(f90(a919),x96451),f54(a919,x96452,x96453))),x96454)),f334(f334(f90(a919),x96451),x96453)))
% 164.74/165.09 [9849]~P109(x98492)+~P107(f334(f334(f248(x98492),f334(x98493,f663(x98494,x98493,x98491,x98492))),f334(x98494,f663(x98494,x98493,x98491,x98492))))+P107(f334(f334(f248(f926(x98491,x98492)),x98493),x98494))
% 164.74/165.09 [9951]~P63(x99511)+E(f334(f334(f6(a919,x99511),f334(f334(f18(a919,x99511,x99511),f334(f334(f8(x99511,f926(x99511,x99511),a919),f23(x99511)),x99512)),f334(f334(f8(a919,x99511,a919),x99512),f334(f334(f7(a919,a919,a919),f89(a919)),f87(a919))))),f310(a919,x99513,x99514)),f334(f334(f23(x99511),f334(x99512,x99513)),f334(x99512,f334(f334(f89(a919),x99514),f87(a919)))))+~P107(f334(f334(f248(a919),x99513),x99514))
% 164.74/165.09 [6963]E(f334(f334(f144(x69631),x69632),x69633),x69634)+~E(x69633,f334(f334(f148(x69631),f334(f199(f920(x69631)),x69632)),x69634))+~E(f334(f334(f185(x69631),f334(f199(f920(x69631)),x69632)),x69634),x69632)
% 164.74/165.09 [7016]~P66(x70162)+E(x70161,f2(x70162))+E(f334(f334(f297(x70162),f334(f334(f258(x70162),x70163),x70164)),f334(f334(f258(x70162),x70161),x70164)),f334(f334(f258(x70162),f334(f334(f297(x70162),x70163),x70161)),x70164))
% 164.74/165.09 [7166]~P103(x71661)+~P107(f334(f334(f248(x71661),x71663),x71664))+P107(f334(f334(f248(x71661),f334(f334(f114(x71661),x71662),x71663)),x71664))
% 164.74/165.09 [7167]~P103(x71671)+~P107(f334(f334(f248(x71671),x71672),x71674))+P107(f334(f334(f248(x71671),f334(f334(f114(x71671),x71672),x71673)),x71674))
% 164.74/165.09 [7169]~P110(x71691)+~P107(f334(f334(f248(x71691),x71693),x71694))+P107(f334(f334(f248(x71691),f334(f334(f246(x71691),x71692),x71693)),x71694))
% 164.74/165.09 [7171]~P110(x71711)+~P107(f334(f334(f248(x71711),x71712),x71714))+P107(f334(f334(f248(x71711),f334(f334(f246(x71711),x71712),x71713)),x71714))
% 164.74/165.09 [7172]~P103(x71721)+~P107(f334(f334(f249(x71721),x71723),x71724))+P107(f334(f334(f249(x71721),f334(f334(f114(x71721),x71722),x71723)),x71724))
% 164.74/165.09 [7173]~P103(x71731)+~P107(f334(f334(f249(x71731),x71732),x71734))+P107(f334(f334(f249(x71731),f334(f334(f114(x71731),x71732),x71733)),x71734))
% 164.74/165.09 [7175]~P110(x71751)+~P107(f334(f334(f249(x71751),x71753),x71754))+P107(f334(f334(f249(x71751),f334(f334(f246(x71751),x71752),x71753)),x71754))
% 164.74/165.09 [7177]~P110(x71771)+~P107(f334(f334(f249(x71771),x71772),x71774))+P107(f334(f334(f249(x71771),f334(f334(f246(x71771),x71772),x71773)),x71774))
% 164.74/165.09 [7200]~P107(f334(x72003,x72004))+~P107(f334(x72002,x72004))+P107(f334(f334(f334(f114(f926(x72001,a913)),x72002),x72003),x72004))
% 164.74/165.09 [7325]P22(x73251,x73252,x73253)+~P22(x73251,x73254,x73253)+~P107(f334(f334(f248(f926(f918(x73251),a913)),x73254),x73252))
% 164.74/165.09 [7326]P22(x73261,x73262,x73263)+~P22(x73261,x73262,x73264)+~P107(f334(f334(f248(f926(f918(x73261),a913)),x73263),x73264))
% 164.74/165.09 [7688]~P72(x76881)+E(f334(f334(f89(x76881),f334(x76882,x76883)),f334(f334(f6(a919,x76881),x76882),f334(f309(a919,f334(a125,x76883)),x76884))),f334(f334(f6(a919,x76881),x76882),f334(f309(a919,x76883),x76884)))+~P107(f334(f334(f249(a919),x76883),x76884))
% 164.74/165.09 [7706]E(x77061,x77062)+P107(f334(f334(f182(x77063),x77064),x77062))+~P107(f334(f334(f182(x77063),f334(f334(f161(x77063),x77061),x77064)),x77062))
% 164.74/165.09 [7718]~P110(x77181)+P107(f334(f334(f248(x77181),x77182),x77183))+~P107(f334(f334(f248(x77181),f334(f334(f247(x77181),x77184),x77182)),x77183))
% 164.74/165.09 [7720]~P110(x77201)+P107(f334(f334(f248(x77201),x77202),x77203))+~P107(f334(f334(f248(x77201),f334(f334(f247(x77201),x77202),x77204)),x77203))
% 164.74/165.09 [7722]~P102(x77221)+P107(f334(f334(f248(x77221),x77222),x77223))+~P107(f334(f334(f248(x77221),f334(f334(f123(x77221),x77224),x77222)),x77223))
% 164.74/165.09 [7724]~P102(x77241)+P107(f334(f334(f248(x77241),x77242),x77243))+~P107(f334(f334(f248(x77241),f334(f334(f123(x77241),x77242),x77244)),x77243))
% 164.74/165.09 [7725]~P110(x77251)+P107(f334(f334(f249(x77251),x77252),x77253))+~P107(f334(f334(f249(x77251),f334(f334(f247(x77251),x77254),x77252)),x77253))
% 164.74/165.09 [7726]~P110(x77261)+P107(f334(f334(f249(x77261),x77262),x77263))+~P107(f334(f334(f249(x77261),f334(f334(f247(x77261),x77262),x77264)),x77263))
% 164.74/165.09 [7801]~P107(f334(f334(f336(x78011),x78012),x78014))+P107(f334(f334(f336(x78011),x78012),x78013))+P107(f334(f334(f336(x78011),x78012),f334(f334(f23(f926(x78011,a913)),x78014),x78013)))
% 164.74/165.09 [7886]P107(f334(x78861,x78862))+P107(f334(x78863,x78862))+~P107(f334(f334(f334(f123(f926(x78864,a913)),x78863),x78861),x78862))
% 164.74/165.09 [7897]~P107(f334(f334(f336(x78971),x78972),x78974))+~P107(f334(f334(f336(x78971),x78972),x78973))+P107(f334(f334(f336(x78971),x78972),f334(f334(f114(f926(x78971,a913)),x78973),x78974)))
% 164.74/165.09 [7949]~P102(x79491)+~P107(f334(f70(x79491),x79494))+E(f334(f334(f73(x79491,x79491,f123(x79491)),x79492),f334(f334(f316(x79491),x79493),x79494)),f334(f334(f123(x79491),x79493),f334(f334(f73(x79491,x79491,f123(x79491)),x79492),x79494)))
% 164.74/165.09 [7950]~P103(x79501)+~P107(f334(f70(x79501),x79504))+E(f334(f334(f73(x79501,x79501,f114(x79501)),x79502),f334(f334(f316(x79501),x79503),x79504)),f334(f334(f114(x79501),x79503),f334(f334(f73(x79501,x79501,f114(x79501)),x79502),x79504)))
% 164.74/165.09 [7951]~P110(x79511)+~P107(f334(f70(x79511),x79514))+E(f334(f334(f73(x79511,x79511,f246(x79511)),x79512),f334(f334(f316(x79511),x79513),x79514)),f334(f334(f246(x79511),x79513),f334(f334(f73(x79511,x79511,f246(x79511)),x79512),x79514)))
% 164.74/165.09 [7952]~P110(x79521)+~P107(f334(f70(x79521),x79524))+E(f334(f334(f73(x79521,x79521,f247(x79521)),x79522),f334(f334(f316(x79521),x79523),x79524)),f334(f334(f247(x79521),x79523),f334(f334(f73(x79521,x79521,f247(x79521)),x79522),x79524)))
% 164.74/165.09 [7953]~P113(x79531)+~P98(x79531)+E(f334(f334(f23(x79531),f334(f334(f90(x79531),f334(f116(x79531),x79532)),x79533)),f334(f334(f90(x79531),f334(f116(x79531),x79532)),x79534)),f334(f334(f90(x79531),f334(f116(x79531),x79532)),f334(f334(f23(x79531),x79533),x79534)))
% 164.74/165.09 [7954]~P140(x79541)+~P98(x79541)+E(f334(f334(f89(x79541),f334(f334(f90(x79541),f334(f116(x79541),x79542)),x79543)),f334(f334(f90(x79541),f334(f116(x79541),x79542)),x79544)),f334(f334(f90(x79541),f334(f116(x79541),x79542)),f334(f334(f89(x79541),x79543),x79544)))
% 164.74/165.09 [8068]E(x80681,x80682)+P107(f334(f334(f336(x80683),x80681),f334(f182(x80683),x80684)))+~P107(f334(f334(f336(x80683),x80681),f334(f182(x80683),f334(f334(f161(x80683),x80682),x80684))))
% 164.74/165.09 [8246]P54(x82461,x82462,x82463)+~P54(x82461,x82462,x82464)+~P107(f334(f334(f248(f926(f925(x82461,x82462),a913)),x82463),x82464))
% 164.74/165.09 [8289]P107(f334(f334(f336(x82891),x82892),x82893))+P107(f334(f334(f336(x82891),x82892),x82894))+~P107(f334(f334(f336(x82891),x82892),f334(f334(f123(f926(x82891,a913)),x82894),x82893)))
% 164.74/165.09 [8300]~P41(x83001,x83004,x83003)+~P107(f334(f334(f336(x83001),x83002),x83004))+P107(f334(f334(f336(f925(x83001,x83001)),f334(f334(f266(x83001,x83001),x83002),x83002)),x83003))
% 164.74/165.09 [8312]~P107(f334(f70(x83122),x83124))+~P107(f334(f70(x83121),x83123))+P107(f334(f70(f925(x83121,x83122)),f334(f334(f268(x83121,x83122),x83123),f334(f16(f926(x83122,a913),x83121),x83124))))
% 164.74/165.09 [8313]~P107(f334(f334(f336(x83131),x83132),x83134))+~P107(f334(f334(f248(f926(x83131,a913)),x83133),x83134))+P107(f334(f334(f248(f926(x83131,a913)),f334(f334(f316(x83131),x83132),x83133)),x83134))
% 164.74/165.09 [8320]~P76(x83202)+~P146(x83202)+E(f334(f334(f9(x83201,x83202),f334(f334(f8(a919,x83202,x83201),f113(x83202)),x83203)),x83204),f334(f113(x83202),f334(f334(f9(x83201,a919),x83203),x83204)))
% 164.74/165.09 [8321]~P76(x83212)+~P142(x83212)+E(f334(f334(f9(x83211,x83212),f334(f334(f8(a1,x83212,x83211),f115(x83212)),x83213)),x83214),f334(f115(x83212),f334(f334(f9(x83211,a1),x83213),x83214)))
% 164.74/165.09 [8345]E(f334(f334(f23(f926(x83451,a913)),x83452),f334(f334(f23(f926(x83451,a913)),x83453),x83454)),x83454)+~P107(f334(f334(f248(f926(x83451,a913)),x83452),x83453))+~P107(f334(f334(f248(f926(x83451,a913)),x83454),x83452))
% 164.74/165.09 [8441]~P107(f334(f70(x84411),x84414))+E(f334(f334(f23(a919),f334(f334(f6(x84411,a919),x84412),x84413)),f334(f334(f6(x84411,a919),x84412),x84414)),f334(f334(f6(x84411,a919),x84412),f334(f334(f23(f926(x84411,a913)),x84413),x84414)))+~P107(f334(f334(f248(f926(x84411,a913)),x84414),x84413))
% 164.74/165.09 [8600]~P6(x86001,x86004,x86003)+~P107(f334(f334(f336(x86001),x86002),x86004))+P107(f334(f334(f336(x86001),x86002),f334(f293(x86001,x86001,x86003),f334(f334(f316(x86001),x86002),f198(f926(x86001,a913))))))
% 164.74/165.09 [8664]~P107(f334(f334(f248(f926(x86641,a913)),x86642),x86643))+~P107(f334(f334(f248(f926(x86641,a913)),x86642),x86644))+P107(f334(f334(f248(f926(x86641,a913)),x86642),f334(f334(f114(f926(x86641,a913)),x86643),x86644)))
% 164.74/165.09 [8767]E(x87671,f198(f926(x87672,a913)))+P107(f334(f70(x87673),x87674))+~P107(f334(f70(f925(x87673,x87672)),f334(f334(f268(x87673,x87672),x87674),f334(f16(f926(x87672,a913),x87673),x87671))))
% 164.74/165.09 [8768]E(x87681,f198(f926(x87682,a913)))+P107(f334(f70(x87683),x87684))+~P107(f334(f70(f925(x87682,x87683)),f334(f334(f268(x87682,x87683),x87681),f334(f16(f926(x87683,a913),x87682),x87684))))
% 164.74/165.09 [8842]P107(f334(f334(f336(x88421),x88422),f323(x88421,x88423)))+~P107(f334(f334(f336(x88421),x88424),f323(x88421,x88423)))+~P107(f334(f334(f336(f925(x88421,x88421)),f334(f334(f266(x88421,x88421),x88422),x88424)),x88423))
% 164.74/165.09 [8898]~P38(x88981,x88984)+P107(f334(f334(f336(f925(x88981,x88981)),f334(f334(f266(x88981,x88981),x88983),x88982)),f314(x88981,x88984)))+P38(x88981,f334(f334(f316(f925(x88981,x88981)),f334(f334(f266(x88981,x88981),x88982),x88983)),x88984))
% 164.74/165.09 [8899]~P57(x88991,x88994)+P107(f334(f334(f336(f925(x88991,x88991)),f334(f334(f266(x88991,x88991),x88993),x88992)),f314(x88991,x88994)))+P57(x88991,f334(f334(f316(f925(x88991,x88991)),f334(f334(f266(x88991,x88991),x88992),x88993)),x88994))
% 164.74/165.09 [8980]~E(x89802,x89803)+~P107(f334(f334(f336(x89801),x89802),f334(f182(x89801),x89804)))+P107(f334(f334(f336(f925(x89801,x89801)),f334(f334(f266(x89801,x89801),x89802),x89803)),f334(f182(f925(x89801,x89801)),f334(f334(f191(x89801,x89801),x89804),x89804))))
% 164.74/165.09 [9072]~E(x90723,x90724)+P107(f334(f334(f270(x90721,x90721,a913),a331),x90722))+~P107(f334(f334(f336(f925(x90721,x90721)),x90722),f334(f182(f925(x90721,x90721)),f334(f334(f191(x90721,x90721),x90723),x90724))))
% 164.74/165.09 [9095]~P107(f334(x90954,x90952))+P107(f334(f334(f334(f334(a206,x90951),x90952),x90953),f424(x90953,x90952,x90951,x90954)))+~P107(f334(f334(f334(f334(a206,f33(x90954,x90951)),x90952),x90953),x90952))
% 164.74/165.09 [9122]P107(f334(f334(f336(f925(f920(x91221),f920(x91221))),f334(f334(f266(f920(x91221),f920(x91221)),x91222),x91223)),f157(x91221,x91224)))+~E(f334(f334(f185(x91221),f334(f199(f920(x91221)),x91222)),x91223),x91222)+~P107(f334(f334(f249(a919),f334(f199(f920(x91221)),x91222)),f334(f199(f920(x91221)),x91223)))
% 164.74/165.09 [9221]~P107(f334(f70(x92211),x92214))+P107(f334(f334(f336(x92211),f390(x92212,x92213,x92214,x92211)),x92214))+P107(f334(f70(x92213),f334(f334(f48(x92211,f926(x92213,a913)),x92214),x92212)))
% 164.74/165.09 [9222]~P107(f334(f70(x92221),x92224))+P107(f334(f334(f336(x92221),f633(x92222,x92223,x92224,x92221)),x92224))+P107(f334(f70(x92223),f334(f334(f48(x92221,f926(x92223,a913)),x92224),x92222)))
% 164.74/165.09 [9309]P107(f334(f334(f336(f925(x93091,x93091)),x93092),f334(f334(f296(x93091,x93091,x93091),x93093),f314(x93091,x93093))))+~P107(f334(f334(f249(a919),f2(a919)),x93094))+~P107(f334(f334(f336(f925(x93091,x93091)),x93092),f334(f334(f193(f925(x93091,x93091),a913),x93094),x93093)))
% 164.74/165.09 [9317]~P38(x93171,x93172)+~P107(f334(f334(f336(f925(x93171,x93171)),f334(f334(f266(x93171,x93171),x93174),x93173)),x93172))+~P107(f334(f334(f336(f925(x93171,x93171)),f334(f334(f266(x93171,x93171),x93173),x93174)),x93172))
% 164.74/165.09 [9441]~P107(f334(f70(x94411),x94414))+E(f334(f334(f6(x94411,a919),f334(f334(f8(f926(x94412,a913),a919,x94411),f44(x94412)),x94413)),x94414),f334(f44(f925(x94411,x94412)),f334(f334(f268(x94411,x94412),x94414),x94413)))+P107(f334(f334(f336(x94411),f453(x94413,x94412,x94414,x94411)),x94414))
% 164.74/165.09 [9445]~P107(f334(f147(x94451),x94452))+P107(f334(f147(x94451),f334(f334(f169(x94451,x94452),x94453),x94454)))+P107(f334(f334(f336(x94451),x94454),f334(f334(f23(f926(x94451,a913)),f334(f182(x94451),x94452)),f334(f334(f316(x94451),f334(f334(f174(x94451),x94452),x94453)),f198(f926(x94451,a913))))))
% 164.74/165.09 [9464]~P107(f334(f70(x94642),x94643))+~P107(f334(f70(x94641),f334(x94644,f390(x94644,x94641,x94643,x94642))))+P107(f334(f70(x94641),f334(f334(f48(x94642,f926(x94641,a913)),x94643),x94644)))
% 164.74/165.09 [9465]~P107(f334(f70(x94652),x94653))+~P107(f334(f70(x94651),f334(x94654,f633(x94654,x94651,x94653,x94652))))+P107(f334(f70(x94651),f334(f334(f48(x94652,f926(x94651,a913)),x94653),x94654)))
% 164.74/165.09 [9546]~P107(f334(f334(f336(f925(x95461,x95461)),x95462),f334(f334(f296(x95461,x95461,x95461),x95464),f314(x95461,x95464))))+P107(f334(f334(f336(f925(x95461,x95461)),x95462),f334(f334(f296(x95461,x95461,x95461),x95463),f314(x95461,x95463))))+~P107(f334(f334(f248(f926(f925(x95461,x95461),a913)),x95464),x95463))
% 164.74/165.09 [9554]E(f334(f334(f185(x95541),f722(x95544,x95543,x95542,x95541)),x95543),f334(f334(f185(x95541),f722(x95544,x95543,x95542,x95541)),x95542))+~P107(f334(f334(f336(f925(f920(x95541),f920(x95541))),f334(f334(f266(f920(x95541),f920(x95541)),x95542),x95543)),f157(x95541,x95544)))+E(f334(f334(f185(x95541),f334(f199(f920(x95541)),x95542)),x95543),x95542)
% 164.74/165.09 [9571]~P107(f334(f70(x95711),x95714))+E(f334(f334(f6(x95711,a919),f334(f334(f8(f926(x95712,a913),a919,x95711),f44(x95712)),x95713)),x95714),f334(f44(f925(x95711,x95712)),f334(f334(f268(x95711,x95712),x95714),x95713)))+~P107(f334(f70(x95712),f334(x95713,f453(x95713,x95712,x95714,x95711))))
% 164.74/165.09 [9576]~E(f334(f199(f920(x95761)),x95763),f334(f199(f920(x95761)),x95762))+P107(f334(f334(f336(f925(f920(x95761),f920(x95761))),f334(f334(f266(f920(x95761),f920(x95761)),x95762),x95763)),f168(x95761,x95764)))+P107(f334(f334(f336(f925(x95761,x95761)),f727(x95764,x95763,x95762,x95761)),f334(f182(f925(x95761,x95761)),f334(f334(f191(x95761,x95761),x95762),x95763))))
% 164.74/165.09 [9657]~P107(f334(f334(f336(f925(f920(x96571),f920(x96571))),f334(f334(f266(f920(x96571),f920(x96571)),x96572),x96573)),f157(x96571,x96574)))+E(f334(f334(f185(x96571),f334(f199(f920(x96571)),x96572)),x96573),x96572)+P107(f334(f334(f249(a919),f722(x96574,x96573,x96572,x96571)),f334(f334(f246(a919),f334(f199(f920(x96571)),x96572)),f334(f199(f920(x96571)),x96573))))
% 164.74/165.09 [9675]~P107(f334(x96751,x96754))+P107(f334(f334(f334(f334(a206,f33(x96751,x96752)),f424(x96753,x96754,x96752,x96751)),x96753),x96754))+~P107(f334(f334(f334(f334(a206,f33(x96751,x96752)),x96754),x96753),x96754))
% 164.74/165.09 [9683]~P107(f334(f334(f336(f925(f920(x96831),f920(x96831))),f334(f334(f266(f920(x96831),f920(x96831)),x96832),x96833)),f157(x96831,x96834)))+P107(f334(f334(f249(a919),f334(f199(f920(x96831)),x96832)),f334(f199(f920(x96831)),x96833)))+P107(f334(f334(f249(a919),f722(x96834,x96833,x96832,x96831)),f334(f334(f246(a919),f334(f199(f920(x96831)),x96832)),f334(f199(f920(x96831)),x96833))))
% 164.74/165.09 [10104]~P107(f334(f334(f336(f925(f920(x101041),f920(x101041))),f334(f334(f266(f920(x101041),f920(x101041)),x101042),x101043)),f157(x101041,x101044)))+E(f334(f334(f185(x101041),f334(f199(f920(x101041)),x101042)),x101043),x101042)+P107(f334(f334(f336(f925(x101041,x101041)),f334(f334(f266(x101041,x101041),f334(f334(f174(x101041),x101042),f722(x101044,x101043,x101042,x101041))),f334(f334(f174(x101041),x101043),f722(x101044,x101043,x101042,x101041)))),x101044))
% 164.74/165.09 [10105]~P107(f334(f334(f336(f925(f920(x101051),f920(x101051))),f334(f334(f266(f920(x101051),f920(x101051)),x101052),x101053)),f157(x101051,x101054)))+P107(f334(f334(f249(a919),f334(f199(f920(x101051)),x101052)),f334(f199(f920(x101051)),x101053)))+P107(f334(f334(f336(f925(x101051,x101051)),f334(f334(f266(x101051,x101051),f334(f334(f174(x101051),x101052),f722(x101054,x101053,x101052,x101051))),f334(f334(f174(x101051),x101053),f722(x101054,x101053,x101052,x101051)))),x101054))
% 164.74/165.09 [10163]~E(f334(f199(f920(x101631)),x101632),f334(f199(f920(x101631)),x101633))+P107(f334(f334(f336(f925(f920(x101631),f920(x101631))),f334(f334(f266(f920(x101631),f920(x101631)),x101632),x101633)),f168(x101631,x101634)))+~P107(f334(f334(f336(f925(x101631,x101631)),f334(f334(f266(x101631,x101631),f334(f334(f174(x101631),x101632),f709(x101634,x101633,x101632,x101631))),f334(f334(f174(x101631),x101633),f709(x101634,x101633,x101632,x101631)))),x101634))
% 164.74/165.09 [10302]~P72(x103021)+~P107(f334(f70(x103022),x103024))+E(f334(f175(x103021),f334(f334(f164(x103022,x103021),x103023),f99(f920(x103022),f334(f334(f18(f920(x103022),a913,a913),f334(f334(f8(a913,f926(a913,a913),f920(x103022)),a333),f334(f334(f7(f920(x103022),f926(x103022,a913),a913),f334(f334(f8(f926(x103022,a913),f926(f926(x103022,a913),a913),f920(x103022)),a331),f182(x103022))),x103024))),f147(x103022))))),f245(x103022,x103021,x103023,x103024))
% 164.74/165.09 [7538]~P65(x75382)+E(x75381,f2(x75382))+E(f334(f334(f297(x75382),f334(f334(f89(x75382),x75383),f334(f334(f90(x75382),x75384),x75381))),x75381),f334(f334(f89(x75382),x75384),f334(f334(f297(x75382),x75383),x75381)))
% 164.74/165.09 [7539]~P60(x75392)+E(x75391,f2(x75392))+E(f334(f334(f45(x75392),f334(f334(f89(x75392),x75393),f334(f334(f90(x75392),x75394),x75391))),x75391),f334(f334(f89(x75392),x75394),f334(f334(f45(x75392),x75393),x75391)))
% 164.74/165.09 [7540]~P60(x75402)+E(x75401,f2(x75402))+E(f334(f334(f45(x75402),f334(f334(f89(x75402),x75403),f334(f334(f90(x75402),x75401),x75404))),x75401),f334(f334(f89(x75402),x75404),f334(f334(f45(x75402),x75403),x75401)))
% 164.74/165.09 [7765]~P66(x77652)+E(x77651,f2(x77652))+E(f334(f334(f297(x77652),f334(f334(f23(x77652),x77653),f334(f334(f90(x77652),x77651),x77654))),x77651),f334(f334(f23(x77652),f334(f334(f297(x77652),x77653),x77651)),x77654))
% 164.74/165.09 [7766]~P65(x77662)+E(x77661,f2(x77662))+E(f334(f334(f297(x77662),f334(f334(f89(x77662),x77663),f334(f334(f90(x77662),x77664),x77661))),x77661),f334(f334(f89(x77662),f334(f334(f297(x77662),x77663),x77661)),x77664))
% 164.74/165.09 [7767]~P66(x77672)+E(x77671,f2(x77672))+E(f334(f334(f297(x77672),f334(f334(f89(x77672),x77673),f334(f334(f90(x77672),x77671),x77674))),x77671),f334(f334(f89(x77672),f334(f334(f297(x77672),x77673),x77671)),x77674))
% 164.74/165.09 [8472]~P107(f334(f170(x84721,x84723),x84724))+~P107(f334(f170(x84721,x84722),x84724))+P107(f334(f170(x84721,f334(f334(f114(f926(x84721,a913)),x84722),x84723)),x84724))
% 164.74/165.09 [8857]~E(f334(f334(f296(x88571,x88571,x88571),x88572),x88574),f198(f926(f925(x88571,x88571),a913)))+~E(f334(f334(f296(x88571,x88571,x88571),x88572),x88573),f198(f926(f925(x88571,x88571),a913)))+E(f334(f334(f296(x88571,x88571,x88571),x88572),f334(f334(f123(f926(f925(x88571,x88571),a913)),x88573),x88574)),f198(f926(f925(x88571,x88571),a913)))
% 164.74/165.09 [8981]~P107(f334(f334(f248(f926(x89811,a913)),x89813),x89814))+~P107(f334(f334(f248(f926(x89811,a913)),x89812),x89814))+P107(f334(f334(f248(f926(x89811,a913)),f334(f334(f123(f926(x89811,a913)),x89812),x89813)),x89814))
% 164.74/165.09 [9368]~P107(f334(f70(x93681),x93684))+~P107(f334(f70(x93681),x93683))+E(f334(f334(f23(a919),f334(f334(f89(a919),f334(f334(f6(x93681,a919),x93682),x93683)),f334(f334(f6(x93681,a919),x93682),x93684))),f334(f334(f6(x93681,a919),x93682),f334(f334(f114(f926(x93681,a913)),x93683),x93684))),f334(f334(f6(x93681,a919),x93682),f334(f334(f123(f926(x93681,a913)),x93683),x93684)))
% 164.74/165.09 [9461]~P107(f334(f334(f336(x94611),x94613),x94612))+~P107(f334(f334(f248(f926(x94611,a913)),x94612),f334(f334(f316(x94611),x94613),x94614)))+P107(f334(f334(f248(f926(x94611,a913)),f334(f334(f23(f926(x94611,a913)),x94612),f334(f334(f316(x94611),x94613),f198(f926(x94611,a913))))),x94614))
% 164.74/165.09 [9631]~P107(f334(f334(f336(x96311),x96313),x96312))+P107(f334(f334(f248(f926(x96311,a913)),x96312),f334(f334(f316(x96311),x96313),x96314)))+~P107(f334(f334(f248(f926(x96311,a913)),f334(f334(f23(f926(x96311,a913)),x96312),f334(f334(f316(x96311),x96313),f198(f926(x96311,a913))))),x96314))
% 164.74/165.09 [9731]~P107(f334(f334(f248(a919),x97311),x97313))+~P107(f334(f334(f249(a919),x97312),x97314))+P107(f334(f334(f336(f925(f925(a919,a919),f925(a919,a919))),f334(f334(f266(f925(a919,a919),f925(a919,a919)),f334(f334(f266(a919,a919),x97311),x97312)),f334(f334(f266(a919,a919),x97313),x97314))),a41))
% 164.74/165.09 [9732]~P107(f334(f334(f248(a919),x97322),x97324))+~P107(f334(f334(f248(a919),x97321),x97323))+P107(f334(f334(f336(f925(f925(a919,a919),f925(a919,a919))),f334(f334(f266(f925(a919,a919),f925(a919,a919)),f334(f334(f266(a919,a919),x97321),x97322)),f334(f334(f266(a919,a919),x97323),x97324))),a79))
% 164.74/165.09 [10027]~P107(f334(f334(f336(f920(x100271)),x100274),f171(x100271,x100273)))+~P107(f334(f334(f336(f920(x100271)),x100274),f171(x100271,x100272)))+P107(f334(f170(x100271,f334(f334(f114(f926(x100271,a913)),f334(f334(f7(x100271,f926(x100271,a913),a913),f336(x100271)),x100272)),f334(f334(f7(x100271,f926(x100271,a913),a913),f336(x100271)),x100273))),x100274))
% 164.74/165.09 [10129]~P23(x101291,f926(f926(x101291,a913),a913),f334(f334(f7(x101291,f926(f925(x101291,x101291),a913),f926(f926(x101291,a913),a913)),f334(f334(f8(f926(x101291,a913),f926(f926(f925(x101291,x101291),a913),f926(f926(x101291,a913),a913)),x101291),f69(x101291)),f334(f334(f7(x101291,f926(x101291,a913),f926(x101291,a913)),f316(x101291)),f198(f926(x101291,a913))))),x101293),x101292)+~P107(f334(f334(f336(x101291),x101294),x101292))+E(f334(f334(f23(f926(f926(x101291,a913),a913)),f334(f334(f69(x101291),x101292),x101293)),f334(f334(f69(x101291),f334(f334(f316(x101291),x101294),f198(f926(x101291,a913)))),x101293)),f334(f334(f69(x101291),f334(f334(f23(f926(x101291,a913)),x101292),f334(f334(f316(x101291),x101294),f198(f926(x101291,a913))))),x101293))
% 164.74/165.09 [10262]~P41(x102621,x102622,x102624)+~P107(f334(f334(f336(f925(x102621,x102621)),x102623),x102624))+P107(f334(f334(f270(x102621,x102621,a913),f334(f334(f7(x102621,f926(x102621,a913),f926(x102621,a913)),f334(f334(f8(f926(a913,a913),f926(f926(x102621,a913),f926(x102621,a913)),x102621),f8(a913,a913,x102621)),f334(f334(f8(a913,f926(a913,a913),x102621),a333),f334(f334(f7(x102621,f926(x102621,a913),a913),f336(x102621)),x102622)))),f334(f334(f7(x102621,f926(x102621,a913),a913),f336(x102621)),x102622))),x102623))
% 164.74/165.09 [10275]P107(f334(f70(x102751),x102752))+~P107(f334(f70(x102753),f334(f317(x102751,x102753,x102754),x102752)))+~P107(f334(f70(x102751),f334(f254(x102751),f334(f334(f18(x102751,a913,a913),f334(f334(f8(a913,f926(a913,a913),x102751),a333),f334(f334(f7(x102751,f926(x102751,a913),a913),f336(x102751)),x102752))),f334(f334(f7(x102751,x102753,a913),f334(f334(f8(x102753,f926(x102753,a913),x102751),a331),x102754)),f334(x102754,f623(x102754,x102753,x102752,x102751)))))))
% 164.74/165.09 [8228]~P66(x82282)+E(x82281,f2(x82282))+E(f334(f334(f297(x82282),f334(f334(f23(x82282),f334(f334(f90(x82282),x82281),x82283)),x82284)),x82281),f334(f334(f23(x82282),x82283),f334(f334(f297(x82282),x82284),x82281)))
% 164.74/165.09 [8229]~P66(x82292)+E(x82291,f2(x82292))+E(f334(f334(f297(x82292),f334(f334(f89(x82292),f334(f334(f90(x82292),x82291),x82293)),x82294)),x82291),f334(f334(f89(x82292),x82293),f334(f334(f297(x82292),x82294),x82291)))
% 164.74/165.09 [9152]~E(f334(f334(f296(x91521,x91521,x91521),x91523),x91524),f198(f926(f925(x91521,x91521),a913)))+~E(f334(f334(f296(x91521,x91521,x91521),x91522),x91524),f198(f926(f925(x91521,x91521),a913)))+E(f334(f334(f296(x91521,x91521,x91521),f334(f334(f123(f926(f925(x91521,x91521),a913)),x91522),x91523)),x91524),f198(f926(f925(x91521,x91521),a913)))
% 164.74/165.09 [9941]~P107(f334(f170(x99411,x99413),x99414))+~P107(f334(f170(x99411,x99412),x99414))+P107(f334(f170(x99411,f334(f334(f18(x99411,a913,a913),f334(f334(f8(a913,f926(a913,a913),x99411),a333),x99412)),x99413)),x99414))
% 164.74/165.09 [10199]P107(f334(x101991,f391(x101992,x101993,x101991,x101994)))+~P107(f334(f70(x101994),f334(f254(x101994),x101991)))+P107(f334(f70(x101993),f334(f254(x101993),f334(f334(f8(f926(x101994,a913),a913,x101993),f96(x101994)),f334(f334(f8(f926(x101994,a913),f926(x101994,a913),x101993),f334(f18(x101994,a913,a913),f334(f334(f8(a913,f926(a913,a913),x101994),a333),x101991))),x101992)))))
% 164.74/165.09 [10217]~P107(f334(f70(x102172),f334(f254(x102172),x102173)))+~P107(f334(f70(x102171),f334(f254(x102171),f334(f334(f7(x102171,x102172,a913),x102174),f391(x102174,x102171,x102173,x102172)))))+P107(f334(f70(x102171),f334(f254(x102171),f334(f334(f8(f926(x102172,a913),a913,x102171),f96(x102172)),f334(f334(f8(f926(x102172,a913),f926(x102172,a913),x102171),f334(f18(x102172,a913,a913),f334(f334(f8(a913,f926(a913,a913),x102172),a333),x102173))),x102174)))))
% 164.74/165.09 [10284]~P107(f334(f70(x102841),x102844))+P107(f334(f334(f336(x102841),f853(x102842,x102843,x102844,x102841)),x102844))+P107(f334(f70(x102843),f334(f254(x102843),f334(f334(f8(f926(x102841,a913),a913,x102843),f96(x102841)),f334(f334(f8(f926(x102841,a913),f926(x102841,a913),x102843),f334(f18(x102841,a913,a913),f334(f334(f8(a913,f926(a913,a913),x102841),a333),f334(f334(f7(x102841,f926(x102841,a913),a913),f336(x102841)),x102844)))),x102842)))))
% 164.74/165.09 [10291]~P107(f334(f70(x102912),x102913))+~P107(f334(f70(x102911),f334(f254(x102911),f334(f334(f7(x102911,x102912,a913),x102914),f853(x102914,x102911,x102913,x102912)))))+P107(f334(f70(x102911),f334(f254(x102911),f334(f334(f8(f926(x102912,a913),a913,x102911),f96(x102912)),f334(f334(f8(f926(x102912,a913),f926(x102912,a913),x102911),f334(f18(x102912,a913,a913),f334(f334(f8(a913,f926(a913,a913),x102912),a333),f334(f334(f7(x102912,f926(x102912,a913),a913),f336(x102912)),x102913)))),x102914)))))
% 164.74/165.09 [5188]~E(x51882,x51884)+E(f179(x51881,x51882,x51883),f179(x51881,x51884,x51885))+~E(x51882,f2(a919))
% 164.74/165.09 [5447]E(x54471,x54472)+~E(f179(x54474,x54473,x54471),f179(x54474,x54475,x54472))+E(x54473,f2(a919))
% 164.74/165.09 [6683]E(x66831,x66832)+~E(f334(x66833,x66831),f334(x66833,x66832))+~P23(x66834,x66835,x66833,f256(f926(x66834,a913)))
% 164.74/165.09 [7570]E(x75701,x75702)+~P23(x75703,x75704,x75705,f256(f926(x75703,a913)))+~E(f334(f317(x75703,x75704,x75705),x75701),f334(f317(x75703,x75704,x75705),x75702))
% 164.74/165.09 [7818]P23(x78182,x78183,f819(x78184,x78183,x78182,x78181),x78181)+~E(f334(f317(x78183,x78182,x78185),x78184),x78181)+E(x78181,f198(f926(x78182,a913)))
% 164.74/165.09 [8357]~P107(f334(f334(x83573,x83572),x83575))+~P107(f334(f334(x83573,x83574),x83572))+P107(f334(f334(f336(x83571),x83572),f306(x83571,x83573,x83574,x83575)))
% 164.74/165.09 [8358]~P107(f334(f334(x83583,x83582),x83585))+~P107(f334(f334(x83583,x83584),x83582))+P107(f334(f334(f336(x83581),x83582),f303(x83581,x83583,x83584,x83585)))
% 164.74/165.09 [8672]~P23(x86721,x86722,x86723,x86724)+P24(x86721,x86722,x86723,x86724,x86725)+~E(f334(f317(x86721,x86722,x86723),x86724),x86725)
% 164.74/165.09 [8807]~P24(x88071,x88073,x88074,x88072,x88075)+~P107(f334(f70(x88073),x88075))+P107(f334(f70(x88071),x88072))
% 164.74/165.09 [8808]~P24(x88083,x88081,x88084,x88085,x88082)+~P107(f334(f70(x88083),x88085))+P107(f334(f70(x88081),x88082))
% 164.74/165.09 [8938]~P23(x89381,x89383,x89385,f256(f926(x89381,a913)))+~P23(x89383,x89382,x89384,f256(f926(x89383,a913)))+P23(x89381,x89382,f334(f81(x89383,x89382,x89381,x89384),x89385),f256(f926(x89381,a913)))
% 164.74/165.09 [9523]P107(f334(f334(f336(f925(x95231,x95231)),f334(f334(f266(x95231,x95231),x95232),x95233)),f314(x95231,x95234)))+~P107(f334(f334(f336(f925(x95231,x95231)),f334(f334(f266(x95231,x95231),x95232),x95235)),f314(x95231,x95234)))+~P107(f334(f334(f336(f925(x95231,x95231)),f334(f334(f266(x95231,x95231),x95235),x95233)),f314(x95231,x95234)))
% 164.74/165.09 [9561]~P110(x95612)+~P107(f334(f147(x95611),x95615))+P107(f334(f147(x95611),f159(x95611,x95612,x95613,x95614,x95615)))
% 164.74/165.09 [5516]~E(x55162,f126(x55161))+E(f334(f334(f144(x55161),x55162),x55163),f334(f334(f161(x55161),x55164),x55165))+~E(x55163,f334(f334(f161(x55161),x55164),x55165))
% 164.74/165.09 [5517]~E(x55172,f126(x55171))+E(f334(f334(f144(x55171),x55172),x55173),f334(f334(f161(x55171),x55174),x55175))+~E(f334(f334(f161(x55171),x55174),x55175),x55173)
% 164.74/165.09 [6640]~E(f334(f199(f920(x66401)),x66405),f334(f199(f920(x66402)),x66404))+E(f334(f334(f164(f925(x66401,x66402),x66402),f269(x66401,x66402)),x66403),x66404)+~E(f334(f334(f191(x66401,x66402),x66405),x66404),x66403)
% 164.74/165.09 [6641]~E(f334(f199(f920(x66411)),x66414),f334(f199(f920(x66412)),x66415))+E(f334(f334(f164(f925(x66411,x66412),x66411),f265(x66411,x66412)),x66413),x66414)+~E(f334(f334(f191(x66411,x66412),x66414),x66415),x66413)
% 164.74/165.09 [7110]~P110(x71101)+~P12(x71101,f334(f334(f164(x71102,x71101),x71103),x71105))+P12(x71101,f334(f334(f164(x71102,x71101),x71103),f334(f146(x71102,x71104),x71105)))
% 164.74/165.09 [7155]~P107(f334(x71553,x71555))+~P107(f334(f334(x71552,x71554),x71555))+P107(f334(f334(f105(x71551,x71552,x71553),x71554),x71555))
% 164.74/165.09 [7252]~P110(x72521)+P12(x72521,f334(f334(f164(x72522,x72521),x72523),f180(x72522,x72524,x72525)))+~P12(x72521,f334(f334(f164(x72522,x72521),x72523),x72525))
% 164.74/165.09 [7276]~P54(x72763,x72762,x72765)+~P54(x72761,x72763,x72764)+P54(x72761,x72762,f334(f334(f296(x72761,x72763,x72762),x72764),x72765))
% 164.74/165.09 [7370]E(x73701,x73702)+~P23(x73703,x73704,x73705,f256(f926(x73703,a913)))+~E(f334(f334(f164(x73703,x73704),x73705),x73701),f334(f334(f164(x73703,x73704),x73705),x73702))
% 164.74/165.09 [7524]~P107(f334(f334(f248(a919),x75241),f334(x75243,x75245)))+P107(f334(f334(f248(a919),x75241),f165(x75242,x75243,x75244)))+~P107(f334(f334(f336(x75242),x75245),f334(f182(x75242),x75244)))
% 164.74/165.09 [7525]~P107(f334(f334(f249(a919),x75251),f334(x75253,x75255)))+P107(f334(f334(f249(a919),x75251),f165(x75252,x75253,x75254)))+~P107(f334(f334(f336(x75252),x75255),f334(f182(x75252),x75254)))
% 164.74/165.09 [7918]P107(f334(x79181,x79182))+~P107(f334(x79181,x79183))+~P107(f334(f334(f336(x79184),x79182),f334(f182(x79184),f179(x79184,x79185,x79183))))
% 164.74/165.09 [7919]P107(f334(x79191,x79192))+~P107(f334(x79191,x79193))+~P107(f334(f334(f336(x79194),x79193),f334(f182(x79194),f179(x79194,x79195,x79192))))
% 164.74/165.09 [7924]~P111(x79241)+P107(f334(f334(f248(f926(x79241,a913)),f310(x79241,x79242,x79243)),f310(x79241,x79244,x79245)))+P107(f334(f334(f248(x79241),x79242),x79243))
% 164.74/165.09 [7947]~P3(x79471)+P107(f334(f334(f248(x79471),f334(f334(f49(x79472,x79471),x79473),x79474)),f334(x79474,x79475)))+~P107(f334(f334(f336(x79472),x79475),x79473))
% 164.74/165.09 [8014]~P23(x80141,x80142,x80144,x80143)+E(f334(f86(x80141,x80142,x80143,x80144),f334(x80144,x80145)),x80145)+~P107(f334(f334(f336(x80141),x80145),x80143))
% 164.74/165.09 [8015]~P23(x80151,x80152,x80154,x80153)+E(f334(f101(x80151,x80152,x80153,x80154),f334(x80154,x80155)),x80155)+~P107(f334(f334(f336(x80151),x80155),x80153))
% 164.74/165.09 [8216]~P107(f334(x82161,x82165))+P107(f334(x82161,f872(x82161,x82162,x82163,x82164)))+~P107(f334(f334(f336(x82164),x82165),x82163))
% 164.74/165.09 [8217]~P107(f334(x82171,x82175))+P107(f334(x82171,f872(x82171,x82172,x82173,x82174)))+~P107(f334(f334(f336(x82174),x82175),x82172))
% 164.74/165.09 [8310]P107(f334(f70(x83101),x83102))+~P107(f334(f70(x83103),x83104))+~P107(f334(f334(f248(f926(x83101,a913)),x83102),f334(f317(x83103,x83101,x83105),x83104)))
% 164.74/165.09 [8476]E(x84761,x84762)+~P23(x84763,x84764,x84765,f334(f334(f123(f926(x84763,a913)),f334(f182(x84763),x84761)),f334(f182(x84763),x84762)))+~E(f334(f334(f164(x84763,x84764),x84765),x84761),f334(f334(f164(x84763,x84764),x84765),x84762))
% 164.74/165.09 [8529]~P111(x85291)+~P107(f334(f334(f249(f926(x85291,a913)),f310(x85291,x85294,x85295)),f310(x85291,x85292,x85293)))+P107(f334(f334(f248(x85291),x85292),x85293))
% 164.74/165.09 [8599]~P23(x85991,x85994,x85995,f256(f926(x85991,a913)))+~P107(f334(f334(f336(x85994),f334(x85995,x85992)),f334(f317(x85991,x85994,x85995),x85993)))+P107(f334(f334(f336(x85991),x85992),x85993))
% 164.74/165.09 [8678]P107(f334(x86781,x86782))+~P107(f334(x86781,f873(x86781,x86783,x86784,x86785)))+~P107(f334(f334(f336(x86785),x86782),x86784))
% 164.74/165.09 [8679]P107(f334(x86791,x86792))+~P107(f334(x86791,f873(x86791,x86793,x86794,x86795)))+~P107(f334(f334(f336(x86795),x86792),x86793))
% 164.74/165.09 [8978]~P23(x89782,x89783,x89781,x89784)+E(f334(x89781,f334(f86(x89782,x89783,x89784,x89781),x89785)),x89785)+~P107(f334(f334(f336(x89783),x89785),f334(f317(x89782,x89783,x89781),x89784)))
% 164.74/165.09 [9088]E(x90881,f126(x90882))+E(f334(f334(f161(x90882),x90883),f739(x90884,x90883,x90885,x90881,x90882)),x90881)+~E(f334(f334(f144(x90882),x90881),x90885),f334(f334(f161(x90882),x90883),x90884))
% 164.74/165.09 [9089]E(x90891,f126(x90892))+E(f334(f334(f161(x90892),x90893),f740(x90894,x90891,x90895,x90893,x90892)),x90891)+~E(f334(f334(f144(x90892),x90891),x90894),f334(f334(f161(x90892),x90893),x90895))
% 164.74/165.09 [9108]E(f334(f334(f161(x91082),x91083),f739(x91084,x91083,x91081,x91085,x91082)),x91085)+~E(f334(f334(f144(x91082),x91085),x91081),f334(f334(f161(x91082),x91083),x91084))+E(x91081,f334(f334(f161(x91082),x91083),x91084))
% 164.74/165.09 [9109]E(f334(f334(f161(x91091),x91092),f740(x91094,x91095,x91093,x91092,x91091)),x91095)+~E(f334(f334(f144(x91091),x91095),x91094),f334(f334(f161(x91091),x91092),x91093))+E(f334(f334(f161(x91091),x91092),x91093),x91094)
% 164.74/165.09 [9192]~E(f334(f317(x91923,x91922,x91924),f256(f926(x91923,a913))),f256(f926(x91922,a913)))+~E(f334(f317(x91921,x91923,x91925),f256(f926(x91921,a913))),f256(f926(x91923,a913)))+E(f334(f317(x91921,x91922,f334(f81(x91923,x91922,x91921,x91924),x91925)),f256(f926(x91921,a913))),f256(f926(x91922,a913)))
% 164.74/165.09 [9568]E(x95681,f126(x95682))+~E(f334(f334(f144(x95682),x95681),x95683),f334(f334(f161(x95682),x95685),x95684))+E(f334(f334(f144(x95682),f740(x95683,x95681,x95684,x95685,x95682)),x95683),x95684)
% 164.74/165.09 [9569]E(x95691,f126(x95692))+~E(f334(f334(f144(x95692),x95691),x95695),f334(f334(f161(x95692),x95694),x95693))+E(f334(f334(f144(x95692),f739(x95693,x95694,x95695,x95691,x95692)),x95695),x95693)
% 164.74/165.09 [9577]E(f334(f334(f144(x95772),f739(x95774,x95773,x95771,x95775,x95772)),x95771),x95774)+~E(f334(f334(f144(x95772),x95775),x95771),f334(f334(f161(x95772),x95773),x95774))+E(x95771,f334(f334(f161(x95772),x95773),x95774))
% 164.74/165.09 [9578]~E(f334(f334(f144(x95781),x95785),x95784),f334(f334(f161(x95781),x95782),x95783))+E(f334(f334(f144(x95781),f740(x95784,x95785,x95783,x95782,x95781)),x95784),x95783)+E(f334(f334(f161(x95781),x95782),x95783),x95784)
% 164.74/165.09 [9579]E(f334(f334(f144(x95791),x95795),f742(x95793,x95792,x95794,x95795,x95791)),x95792)+E(f334(f334(f144(x95791),x95792),f741(x95793,x95792,x95794,x95795,x95791)),x95795)+~E(f334(f334(f144(x95791),x95795),x95794),f334(f334(f144(x95791),x95792),x95793))
% 164.74/165.09 [9615]~P110(x96151)+P12(x96151,f334(f334(f164(x96152,x96151),x96153),f159(x96152,x96151,x96153,x96154,x96155)))+~P12(x96151,f334(f334(f164(x96152,x96151),x96153),x96155))
% 164.74/165.09 [9629]~P58(x96295,x96291,x96294,x96293)+P107(f334(f334(x96291,x96292),f408(x96293,x96294,x96291,x96295,x96292)))+~P107(f334(f334(f336(x96295),x96292),x96294))
% 164.74/165.09 [9743]~P107(f334(f334(f336(f925(x97431,x97431)),f334(f334(f266(x97431,x97431),x97435),x97433)),f314(x97431,x97434)))+P107(f334(f334(f336(f925(x97431,x97431)),f334(f334(f266(x97431,x97431),x97432),x97433)),f334(f334(f296(x97431,x97431,x97431),x97434),f314(x97431,x97434))))+~P107(f334(f334(f336(f925(x97431,x97431)),f334(f334(f266(x97431,x97431),x97432),x97435)),f334(f334(f296(x97431,x97431,x97431),x97434),f314(x97431,x97434))))
% 164.74/165.09 [9744]~P107(f334(f334(f336(f925(x97441,x97441)),f334(f334(f266(x97441,x97441),x97442),x97445)),f314(x97441,x97444)))+P107(f334(f334(f336(f925(x97441,x97441)),f334(f334(f266(x97441,x97441),x97442),x97443)),f334(f334(f296(x97441,x97441,x97441),x97444),f314(x97441,x97444))))+~P107(f334(f334(f336(f925(x97441,x97441)),f334(f334(f266(x97441,x97441),x97445),x97443)),f334(f334(f296(x97441,x97441,x97441),x97444),f314(x97441,x97444))))
% 164.74/165.09 [9746]P107(f334(f334(f336(f925(f920(x97461),f920(x97461))),f334(f334(f266(f920(x97461),f920(x97461)),x97462),x97463)),f168(x97461,f314(x97461,x97464))))+~P107(f334(f334(f336(f925(f920(x97461),f920(x97461))),f334(f334(f266(f920(x97461),f920(x97461)),x97462),x97465)),f168(x97461,f314(x97461,x97464))))+~P107(f334(f334(f336(f925(f920(x97461),f920(x97461))),f334(f334(f266(f920(x97461),f920(x97461)),x97465),x97463)),f168(x97461,f314(x97461,x97464))))
% 164.74/165.09 [9751]E(f334(f334(f144(x97511),x97512),f741(x97513,x97512,x97514,x97515,x97511)),x97515)+E(f334(f334(f144(x97511),f742(x97513,x97512,x97514,x97515,x97511)),x97513),x97514)+~E(f334(f334(f144(x97511),x97512),x97513),f334(f334(f144(x97511),x97515),x97514))
% 164.74/165.09 [9752]E(f334(f334(f144(x97521),x97522),f742(x97523,x97524,x97525,x97522,x97521)),x97524)+E(f334(f334(f144(x97521),f741(x97523,x97524,x97525,x97522,x97521)),x97525),x97523)+~E(f334(f334(f144(x97521),x97522),x97525),f334(f334(f144(x97521),x97524),x97523))
% 164.74/165.09 [9807]P107(f334(f334(f336(f925(x98071,x98071)),f334(f334(f266(x98071,x98071),x98072),x98073)),f334(f334(f296(x98071,x98071,x98071),x98074),f314(x98071,x98074))))+~P107(f334(f334(f336(f925(x98071,x98071)),f334(f334(f266(x98071,x98071),x98072),x98075)),f334(f334(f296(x98071,x98071,x98071),x98074),f314(x98071,x98074))))+~P107(f334(f334(f336(f925(x98071,x98071)),f334(f334(f266(x98071,x98071),x98075),x98073)),f334(f334(f296(x98071,x98071,x98071),x98074),f314(x98071,x98074))))
% 164.74/165.09 [9834]P35(x98341,x98342,x98343,x98344,x98345)+~E(f334(f199(f920(x98341)),x98344),f334(f199(f920(x98342)),x98345))+~P107(f334(f334(f270(x98341,x98342,a913),x98343),f758(x98345,x98344,x98343,x98342,x98341)))
% 164.74/165.09 [9835]P35(x98351,x98352,x98353,x98354,x98355)+~E(f334(f199(f920(x98351)),x98354),f334(f199(f920(x98352)),x98355))+~P107(f334(f334(f270(x98351,x98352,a913),x98353),f761(x98353,x98355,x98354,x98352,x98351)))
% 164.74/165.09 [9840]E(f334(f334(f144(x98401),f741(x98402,x98403,x98404,x98405,x98401)),x98404),x98402)+~E(f334(f334(f144(x98401),x98403),x98402),f334(f334(f144(x98401),x98405),x98404))+E(f334(f334(f144(x98401),f742(x98402,x98403,x98404,x98405,x98401)),x98402),x98404)
% 164.74/165.09 [9855]~P110(x98552)+E(f334(f334(f158(x98551,x98552,x98553),x98554),x98555),f334(f334(f161(x98551),x98554),x98555))+P107(f334(f334(f336(x98551),f804(x98554,x98553,x98555,x98551,x98552)),f334(f182(x98551),x98555)))
% 164.74/165.09 [9859]~P58(x98591,x98594,x98593,x98592)+~P107(f334(f334(f336(x98591),x98595),x98593))+P107(f334(f334(f336(x98591),f408(x98592,x98593,x98594,x98591,x98595)),x98592))
% 164.74/165.09 [9978]~P107(f334(f334(f336(f925(f926(x99781,a913),f926(x99781,a913))),f334(f334(f266(f926(x99781,a913),f926(x99781,a913)),x99784),x99783)),f326(x99781,x99782)))+~P107(f334(f334(f336(x99781),x99785),x99784))+P107(f334(f334(f336(x99781),f649(x99782,x99783,x99784,x99781,x99785)),x99783))
% 164.74/165.09 [9989]~P110(x99892)+E(f334(f334(f158(x99891,x99892,x99893),x99894),x99895),f334(f334(f161(x99891),x99894),x99895))+~P107(f334(f334(f248(x99892),f334(x99893,x99894)),f334(x99893,f804(x99894,x99893,x99895,x99891,x99892))))
% 164.74/165.09 [10035]~P23(x100353,x100354,x100355,f256(f926(x100353,a913)))+P107(f334(x100351,x100352))+~P107(f334(x100351,f334(f101(x100353,x100354,f256(f926(x100353,a913)),x100355),f898(x100352,x100351,x100355,x100354,x100353))))
% 164.74/165.09 [10180]P35(x101801,x101802,x101803,x101804,x101805)+~E(f334(f199(f920(x101801)),x101804),f334(f199(f920(x101802)),x101805))+~P107(f334(f334(x101803,f334(f334(f174(x101801),x101804),f762(x101805,x101804,x101803,x101802,x101801))),f334(f334(f174(x101802),x101805),f762(x101805,x101804,x101803,x101802,x101801))))
% 164.74/165.09 [10181]P35(x101811,x101812,x101813,x101814,x101815)+~E(f334(f199(f920(x101811)),x101814),f334(f199(f920(x101812)),x101815))+~P107(f334(f334(x101813,f334(f334(f174(x101811),x101814),f795(x101813,x101815,x101812,x101814,x101811))),f334(f334(f174(x101812),x101815),f795(x101813,x101815,x101812,x101814,x101811))))
% 164.74/165.09 [6713]~P15(x67132,x67135,x67131)+~P107(f334(f70(x67132),x67134))+E(f334(x67131,f334(f334(f316(x67132),x67133),x67134)),f334(f334(f73(x67132,x67132,x67135),x67133),x67134))
% 164.74/165.09 [6714]~E(x67143,x67144)+~E(x67142,x67145)+E(f334(f334(f316(x67141),x67142),f334(f334(f316(x67141),x67143),f198(f926(x67141,a913)))),f334(f334(f316(x67141),x67144),f334(f334(f316(x67141),x67145),f198(f926(x67141,a913)))))
% 164.74/165.09 [6726]P107(f334(x67262,x67265))+E(f187(x67261,x67262,f334(f334(f144(x67261),x67263),x67264)),f187(x67261,x67262,x67263))+~P107(f334(f334(f336(x67261),x67265),f334(f182(x67261),x67263)))
% 164.74/165.09 [6762]E(f334(x67621,x67622),f198(f926(x67623,a913)))+~E(f334(f334(f48(x67624,f926(x67623,a913)),x67625),x67621),f198(f926(x67623,a913)))+~P107(f334(f334(f336(x67624),x67622),x67625))
% 164.74/165.09 [6763]E(f334(x67631,x67632),f256(f926(x67633,a913)))+~E(f334(f334(f49(x67634,f926(x67633,a913)),x67635),x67631),f256(f926(x67633,a913)))+~P107(f334(f334(f336(x67634),x67632),x67635))
% 164.74/165.09 [7060]~P107(f334(f334(f204(x70601),x70603),x70605))+~P107(f334(f334(f204(x70602),x70605),x70604))+P107(f334(f334(f204(f34(x70601,x70602)),x70603),x70604))
% 164.74/165.09 [7262]~E(x72622,x72624)+~P144(x72621)+E(f334(f334(f89(x72621),f334(f334(f90(x72621),x72622),x72623)),f334(f334(f90(x72621),x72624),x72625)),f334(f334(f89(x72621),f334(f334(f90(x72621),x72622),x72625)),f334(f334(f90(x72621),x72624),x72623)))
% 164.74/165.09 [7323]~P3(x73231)+~P107(f334(f334(f336(x73234),x73233),x73235))+P107(f334(f334(f248(x73231),f334(x73232,x73233)),f334(f334(f48(x73234,x73231),x73235),x73232)))
% 164.74/165.09 [7375]~P109(x73751)+P107(f334(f334(f248(x73751),f334(x73752,x73753)),f334(x73754,x73753)))+~P107(f334(f334(f248(f926(x73755,x73751)),x73752),x73754))
% 164.74/165.09 [7494]E(x74941,x74942)+E(x74943,x74941)+~E(f334(f334(f316(x74944),x74941),f334(f334(f316(x74944),x74945),f198(f926(x74944,a913)))),f334(f334(f316(x74944),x74942),f334(f334(f316(x74944),x74943),f198(f926(x74944,a913)))))
% 164.74/165.09 [7495]E(x74951,x74952)+E(x74953,x74951)+~E(f334(f334(f316(x74954),x74953),f334(f334(f316(x74954),x74952),f198(f926(x74954,a913)))),f334(f334(f316(x74954),x74955),f334(f334(f316(x74954),x74951),f198(f926(x74954,a913)))))
% 164.74/165.09 [7496]E(x74961,x74962)+E(x74961,x74963)+~E(f334(f334(f316(x74964),x74963),f334(f334(f316(x74964),x74962),f198(f926(x74964,a913)))),f334(f334(f316(x74964),x74965),f334(f334(f316(x74964),x74961),f198(f926(x74964,a913)))))
% 164.74/165.09 [7497]E(x74971,x74972)+E(x74971,x74973)+~E(f334(f334(f316(x74974),x74971),f334(f334(f316(x74974),x74975),f198(f926(x74974,a913)))),f334(f334(f316(x74974),x74972),f334(f334(f316(x74974),x74973),f198(f926(x74974,a913)))))
% 164.74/165.09 [8024]P23(x80241,x80242,x80243,x80244)+~P23(x80241,x80242,x80243,x80245)+~P107(f334(f334(f248(f926(x80241,a913)),x80244),x80245))
% 164.74/165.09 [8031]~P107(f334(f334(f248(a919),x80315),x80313))+~P107(f334(f334(f334(f334(a206,x80311),x80312),x80315),x80314))+P107(f334(f334(f334(f334(a206,x80311),x80312),x80313),x80314))
% 164.74/165.09 [8054]~E(f334(x80543,x80545),x80544)+~P23(x80541,x80542,x80543,f256(f926(x80541,a913)))+E(f334(f101(x80541,x80542,f256(f926(x80541,a913)),x80543),x80544),x80545)
% 164.74/165.09 [8126]P107(f334(x81261,x81262))+~P107(f334(f334(f204(x81264),x81262),x81265))+P107(f334(f334(f204(f31(x81261,x81263,x81264)),x81262),x81265))
% 164.74/165.09 [8154]~P107(f334(x81541,x81544))+~P107(f334(f334(f204(x81542),x81544),x81545))+P107(f334(f334(f204(f31(x81541,x81542,x81543)),x81544),x81545))
% 164.74/165.09 [8205]E(x82051,x82052)+~E(f334(f317(x82053,x82054,x82055),x82051),f334(f317(x82053,x82054,x82055),x82052))+~P23(x82053,x82054,x82055,f334(f334(f123(f926(x82053,a913)),x82051),x82052))
% 164.74/165.09 [8279]P107(f334(x82792,x82794))+E(f334(f334(f148(x82791),f334(f199(f920(x82791)),f187(x82791,x82792,x82793))),x82793),f334(f334(f161(x82791),x82794),x82795))+~E(f334(f334(f144(x82791),f187(x82791,x82792,x82793)),f334(f334(f161(x82791),x82794),x82795)),x82793)
% 164.74/165.09 [8308]~P23(x83081,x83082,x83083,x83085)+~P23(x83081,x83082,x83083,x83084)+P23(x83081,x83082,x83083,f334(f334(f114(f926(x83081,a913)),x83084),x83085))
% 164.74/165.09 [8416]~P72(x84161)+E(f334(f334(f89(x84161),f334(x84162,x84163)),f334(f175(x84161),f334(f334(f164(x84164,x84161),x84162),f180(x84164,x84163,x84165)))),f334(f175(x84161),f334(f334(f164(x84164,x84161),x84162),x84165)))+~P107(f334(f334(f336(x84164),x84163),f334(f182(x84164),x84165)))
% 164.74/165.09 [8502]~P110(x85021)+~P12(x85021,f334(f334(f164(x85022,x85021),x85023),x85025))+P12(x85021,f334(f334(f164(x85022,x85021),x85023),f334(f334(f158(x85022,x85021,x85023),x85024),x85025)))
% 164.74/165.09 [8584]P107(f334(x85841,x85842))+P107(f334(f334(f204(x85843),x85842),x85844))+~P107(f334(f334(f204(f31(x85841,x85845,x85843)),x85842),x85844))
% 164.74/165.09 [8595]~P3(x85951)+P107(f334(f334(f248(x85951),f334(f334(f48(x85952,x85951),x85953),x85954)),f334(f334(f48(x85952,x85951),x85955),x85954)))+~P107(f334(f334(f248(f926(x85952,a913)),x85953),x85955))
% 164.74/165.09 [8596]~P3(x85961)+P107(f334(f334(f248(x85961),f334(f334(f49(x85962,x85961),x85963),x85964)),f334(f334(f49(x85962,x85961),x85965),x85964)))+~P107(f334(f334(f248(f926(x85962,a913)),x85965),x85963))
% 164.74/165.09 [8605]~P107(f334(x86054,x86052))+P107(f334(f334(f204(x86051),x86052),x86053))+~P107(f334(f334(f204(f31(x86054,x86051,x86055)),x86052),x86053))
% 164.74/165.09 [8630]~P110(x86303)+P107(f334(f147(x86301),x86302))+~P107(f334(f147(x86301),f334(f334(f158(x86301,x86303,x86304),x86305),x86302)))
% 164.74/165.09 [8640]P107(f334(f334(f204(x86401),x86402),x86403))+P107(f334(f334(f204(x86404),x86402),x86403))+~P107(f334(f334(f204(f31(x86405,x86401,x86404)),x86402),x86403))
% 164.74/165.09 [8780]~P110(x87801)+~P107(f334(f334(f336(x87802),x87803),f334(f182(x87802),x87804)))+~P107(f334(f147(x87802),f334(f334(f158(x87802,x87801,x87805),x87803),x87804)))
% 164.74/165.09 [8869]~P110(x88691)+P12(x88691,f334(f334(f164(x88692,x88691),x88693),x88694))+~P12(x88691,f334(f334(f164(x88692,x88691),x88693),f334(f334(f158(x88692,x88691,x88693),x88695),x88694)))
% 164.74/165.09 [8914]~P23(x89142,x89141,x89144,x89143)+E(f334(f317(x89141,x89142,f101(x89142,x89141,x89143,x89144)),f334(f317(x89142,x89141,x89144),x89145)),x89145)+~P107(f334(f334(f248(f926(x89142,a913)),x89145),x89143))
% 164.74/165.09 [8966]~P110(x89662)+E(f334(f334(f158(x89661,x89662,x89663),x89664),x89665),f159(x89661,x89662,x89663,x89664,x89665))+P107(f334(f334(f336(x89662),f334(x89663,x89664)),f334(f317(x89661,x89662,x89663),f334(f182(x89661),x89665))))
% 164.74/165.09 [9047]~P110(x90472)+E(f159(x90471,x90472,x90473,x90474,x90475),x90475)+~P107(f334(f334(f336(x90472),f334(x90473,x90474)),f334(f317(x90471,x90472,x90473),f334(f182(x90471),x90475))))
% 164.74/165.09 [9065]~P23(x90652,x90651,x90653,x90655)+P107(f334(f334(f249(f926(x90651,a913)),f334(f317(x90652,x90651,x90653),x90654)),f334(f317(x90652,x90651,x90653),x90655)))+~P107(f334(f334(f249(f926(x90652,a913)),x90654),x90655))
% 164.74/165.09 [9233]~P23(x92331,x92332,x92333,f256(f926(x92331,a913)))+~P107(f334(f334(f248(f926(x92332,a913)),x92334),f334(f317(x92331,x92332,x92333),x92335)))+P107(f334(f334(f248(f926(x92331,a913)),f334(f318(x92331,x92332,x92333),x92334)),x92335))
% 164.74/165.09 [9257]~E(f334(f317(x92573,x92571,x92574),f256(f926(x92573,a913))),f256(f926(x92571,a913)))+P107(f334(f334(f248(f926(x92571,a913)),x92572),f334(f317(x92573,x92571,x92574),x92575)))+~P107(f334(f334(f248(f926(x92573,a913)),f334(f318(x92573,x92571,x92574),x92572)),x92575))
% 164.74/165.09 [9361]~P23(x93611,x93614,x93615,f256(f926(x93611,a913)))+~P107(f334(f334(f248(f926(x93614,a913)),f334(f317(x93611,x93614,x93615),x93612)),f334(f317(x93611,x93614,x93615),x93613)))+P107(f334(f334(f248(f926(x93611,a913)),x93612),x93613))
% 164.74/165.09 [9491]~P82(x94911)+~E(f334(x94913,f779(x94913,x94914,x94915,x94912,x94911)),f2(x94911))+E(f334(f175(x94911),f334(f334(f164(x94912,x94911),x94913),f334(f146(x94912,x94914),x94915))),f334(f175(x94911),f334(f334(f164(x94912,x94911),x94913),x94915)))
% 164.74/165.09 [9518]~P24(x95181,x95182,x95183,f256(f926(x95181,a913)),f256(f926(x95182,a913)))+~P107(f334(f334(f248(f926(x95182,a913)),x95184),f334(f317(x95181,x95182,x95183),x95185)))+P107(f334(f334(f248(f926(x95181,a913)),f334(f318(x95181,x95182,x95183),x95184)),x95185))
% 164.74/165.09 [9547]~P24(x95473,x95471,x95474,f256(f926(x95473,a913)),f256(f926(x95471,a913)))+P107(f334(f334(f248(f926(x95471,a913)),x95472),f334(f317(x95473,x95471,x95474),x95475)))+~P107(f334(f334(f248(f926(x95473,a913)),f334(f318(x95473,x95471,x95474),x95472)),x95475))
% 164.74/165.09 [9674]~P14(x96741,x96742,x96743)+~P107(f334(f70(x96741),x96745))+P107(f334(f75(x96741,x96742,x96743,x96744,x96745),f334(f334(f73(x96741,x96742,x96743),x96744),x96745)))
% 164.74/165.09 [9764]~P24(x97642,x97641,x97644,f256(f926(x97642,a913)),f256(f926(x97641,a913)))+~P24(x97641,x97643,x97645,f256(f926(x97641,a913)),f256(f926(x97643,a913)))+E(f334(f81(x97641,x97642,x97643,f101(x97642,x97641,f256(f926(x97642,a913)),x97644)),f101(x97641,x97643,f256(f926(x97641,a913)),x97645)),f101(x97642,x97643,f256(f926(x97642,a913)),f334(f81(x97641,x97643,x97642,x97645),x97644)))
% 164.74/165.09 [9765]P107(f334(x97651,f349(x97652,x97651,x97653,x97654,x97655)))+~P107(f334(f334(f248(f926(x97655,a913)),x97654),x97653))+P107(f334(f334(f248(f926(x97655,a913)),f334(f334(f114(f926(x97655,a913)),x97654),f334(f254(x97655),x97651))),f334(f334(f114(f926(x97655,a913)),x97653),f334(f254(x97655),x97652))))
% 164.74/165.09 [9779]~P82(x97791)+~P107(f334(x97794,f779(x97793,x97794,x97795,x97792,x97791)))+E(f334(f175(x97791),f334(f334(f164(x97792,x97791),x97793),f334(f146(x97792,x97794),x97795))),f334(f175(x97791),f334(f334(f164(x97792,x97791),x97793),x97795)))
% 164.74/165.09 [9857]~P3(x98575)+P107(f334(f334(f336(x98571),f686(x98572,x98573,x98571,x98574,x98575)),x98573))+P107(f334(f334(f248(x98575),x98574),f334(f334(f49(x98571,x98575),x98573),x98572)))
% 164.74/165.09 [9860]~P82(x98601)+E(f334(f175(x98601),f334(f334(f164(x98602,x98601),x98603),f334(f146(x98602,x98604),x98605))),f334(f175(x98601),f334(f334(f164(x98602,x98601),x98603),x98605)))+P107(f334(f334(f336(x98602),f779(x98603,x98604,x98605,x98602,x98601)),f334(f182(x98602),x98605)))
% 164.74/165.09 [9870]~P107(f334(x98705,f349(x98705,x98703,x98704,x98702,x98701)))+~P107(f334(f334(f248(f926(x98701,a913)),x98702),x98704))+P107(f334(f334(f248(f926(x98701,a913)),f334(f334(f114(f926(x98701,a913)),x98702),f334(f254(x98701),x98703))),f334(f334(f114(f926(x98701,a913)),x98704),f334(f254(x98701),x98705))))
% 164.74/165.09 [9885]~P23(x98855,x98853,x98854,f256(f926(x98855,a913)))+P107(f334(x98851,x98852))+P107(f334(f334(f336(x98853),f898(x98852,x98851,x98854,x98853,x98855)),f334(f317(x98855,x98853,x98854),f256(f926(x98855,a913)))))
% 164.74/165.09 [9908]P35(x99081,x99082,x99083,x99084,x99085)+~E(f334(f199(f920(x99082)),x99085),f334(f199(f920(x99081)),x99084))+P107(f334(f334(f249(a919),f762(x99085,x99084,x99083,x99082,x99081)),f334(f199(f920(x99081)),x99084)))
% 164.74/165.09 [9909]P35(x99091,x99092,x99093,x99094,x99095)+~E(f334(f199(f920(x99092)),x99095),f334(f199(f920(x99091)),x99094))+P107(f334(f334(f249(a919),f795(x99093,x99095,x99092,x99094,x99091)),f334(f199(f920(x99091)),x99094)))
% 164.74/165.09 [9942]P107(f334(f334(f336(x99421),f349(x99422,x99423,x99424,x99425,x99421)),x99425))+~P107(f334(f334(f248(f926(x99421,a913)),x99425),x99424))+P107(f334(f334(f248(f926(x99421,a913)),f334(f334(f114(f926(x99421,a913)),x99425),f334(f254(x99421),x99423))),f334(f334(f114(f926(x99421,a913)),x99424),f334(f254(x99421),x99422))))
% 164.74/165.09 [9990]~P3(x99901)+~P107(f334(f334(f248(x99901),x99902),f334(x99905,f686(x99905,x99904,x99903,x99902,x99901))))+P107(f334(f334(f248(x99901),x99902),f334(f334(f49(x99903,x99901),x99904),x99905)))
% 164.74/165.09 [10025]~P76(x100251)+~P107(f334(f70(x100252),x100255))+E(f334(f334(f334(f74(x100251,x100252,f90(x100251)),f334(f334(f18(x100252,x100251,x100251),f334(f334(f8(x100251,f926(x100251,x100251),x100252),f90(x100251)),x100253)),x100254)),f87(x100251)),x100255),f334(f334(f90(x100251),f334(f334(f334(f74(x100251,x100252,f90(x100251)),x100253),f87(x100251)),x100255)),f334(f334(f334(f74(x100251,x100252,f90(x100251)),x100254),f87(x100251)),x100255)))
% 164.74/165.09 [10085]~P107(f334(f334(f336(f925(f926(x100851,a913),f926(x100851,a913))),f334(f334(f266(f926(x100851,a913),f926(x100851,a913)),x100855),x100854)),f326(x100851,x100853)))+~P107(f334(f334(f336(x100851),x100852),x100855))+P107(f334(f334(f336(f925(x100851,x100851)),f334(f334(f266(x100851,x100851),x100852),f649(x100853,x100854,x100855,x100851,x100852))),x100853))
% 164.74/165.09 [10214]~P107(f334(f334(f336(f925(f920(x102141),f920(x102141))),f334(f334(f266(f920(x102141),f920(x102141)),f334(f334(f144(x102141),x102145),x102142)),f334(f334(f144(x102141),x102145),x102143))),f157(x102141,x102144)))+P107(f334(f334(f336(f925(f920(x102141),f920(x102141))),f334(f334(f266(f920(x102141),f920(x102141)),x102142),x102143)),f157(x102141,x102144)))+P107(f334(f334(f336(f925(x102141,x102141)),f334(f334(f266(x102141,x102141),f747(x102144,x102143,x102142,x102145,x102141)),f747(x102144,x102143,x102142,x102145,x102141))),x102144))
% 164.74/165.09 [7378]~E(x73783,x73785)+E(f334(f334(f174(x73781),f334(f334(f169(x73781,x73782),x73783),x73784)),x73785),x73784)+~P107(f334(f334(f249(a919),x73783),f334(f199(f920(x73781)),x73782)))
% 164.74/165.09 [7489]~E(f334(f334(f144(x74891),x74892),x74894),f334(f334(f144(x74891),x74893),x74895))+E(f334(f334(f185(x74891),f334(f199(f920(x74891)),x74892)),x74893),x74892)+P107(f334(f334(f248(a919),f334(f199(f920(x74891)),x74893)),f334(f199(f920(x74891)),x74892)))
% 164.74/165.09 [7506]~E(x75065,x75062)+P107(f334(x75061,x75062))+P107(f334(f334(f334(f334(a206,f33(x75061,x75063)),x75062),x75064),x75065))
% 164.74/165.09 [7985]~E(f334(f334(f144(x79851),x79852),x79854),f334(f334(f144(x79851),x79853),x79855))+E(f334(f334(f185(x79851),f334(f199(f920(x79851)),x79852)),x79853),x79852)+~P107(f334(f334(f248(a919),f334(f199(f920(x79851)),x79852)),f334(f199(f920(x79851)),x79853)))
% 164.74/165.09 [8009]~P107(f334(f70(x80091),f334(x80094,x80095)))+~P107(f334(f334(f336(x80092),x80095),x80093))+P107(f334(f70(x80091),f334(f334(f49(x80092,f926(x80091,a913)),x80093),x80094)))
% 164.74/165.09 [8189]~P41(x81891,x81893,x81895)+~P41(x81891,x81892,x81894)+P41(x81891,f334(f334(f123(f926(x81891,a913)),x81892),x81893),f334(f334(f123(f926(f925(x81891,x81891),a913)),x81894),x81895))
% 164.74/165.09 [8190]~P41(x81901,x81903,x81905)+~P41(x81901,x81902,x81904)+P41(x81901,f334(f334(f114(f926(x81901,a913)),x81902),x81903),f334(f334(f114(f926(f925(x81901,x81901),a913)),x81904),x81905))
% 164.74/165.09 [8274]E(x82741,x82742)+P107(f334(x82743,x82741))+~P107(f334(f334(f334(f334(a206,f33(x82743,x82744)),x82741),x82745),x82742))
% 164.74/165.09 [8545]E(f334(f334(f266(x85451,x85452),f334(f334(f174(x85451),x85453),x85454)),f334(f334(f174(x85452),x85455),x85454)),f334(f334(f174(f925(x85451,x85452)),f334(f334(f191(x85451,x85452),x85453),x85455)),x85454))+~P107(f334(f334(f249(a919),x85454),f334(f199(f920(x85451)),x85453)))+~P107(f334(f334(f249(a919),x85454),f334(f199(f920(x85452)),x85455)))
% 164.74/165.09 [8706]~P41(x87061,x87063,x87064)+P107(f334(f334(f336(x87061),x87062),x87063))+~P107(f334(f334(f336(f925(x87061,x87061)),f334(f334(f266(x87061,x87061),x87065),x87062)),x87064))
% 164.74/165.09 [8707]~P41(x87071,x87073,x87074)+P107(f334(f334(f336(x87071),x87072),x87073))+~P107(f334(f334(f336(f925(x87071,x87071)),f334(f334(f266(x87071,x87071),x87072),x87075)),x87074))
% 164.74/165.09 [8708]~P6(x87081,x87083,x87084)+P107(f334(f334(f336(x87081),x87082),x87083))+~P107(f334(f334(f336(f925(x87081,x87081)),f334(f334(f266(x87081,x87081),x87085),x87082)),x87084))
% 164.74/165.09 [8709]~P6(x87091,x87093,x87094)+P107(f334(f334(f336(x87091),x87092),x87093))+~P107(f334(f334(f336(f925(x87091,x87091)),f334(f334(f266(x87091,x87091),x87092),x87095)),x87094))
% 164.74/165.09 [8990]~P6(x89901,x89905,x89902)+E(f334(f293(x89901,x89901,x89902),f334(f334(f316(x89901),x89903),f198(f926(x89901,a913)))),f334(f293(x89901,x89901,x89902),f334(f334(f316(x89901),x89904),f198(f926(x89901,a913)))))+~P107(f334(f334(f336(f925(x89901,x89901)),f334(f334(f266(x89901,x89901),x89903),x89904)),x89902))
% 164.74/165.09 [9079]~P107(f334(f334(f334(f334(a206,x90792),x90793),x90794),x90795))+~P107(f334(f334(f334(f334(a206,f33(x90791,x90792)),x90795),x90794),x90793))+P107(f334(f334(f334(f334(a206,f33(x90791,x90792)),x90793),x90794),x90793))
% 164.74/165.09 [9189]P107(f334(x91891,x91892))+~P107(f334(f334(f336(x91893),x91892),x91895))+P107(f334(f334(f336(x91893),f873(x91891,x91894,x91895,x91893)),f334(f334(f123(f926(x91893,a913)),x91895),x91894)))
% 164.74/165.09 [9190]P107(f334(x91901,x91902))+~P107(f334(f334(f336(x91903),x91902),x91904))+P107(f334(f334(f336(x91903),f873(x91901,x91904,x91905,x91903)),f334(f334(f123(f926(x91903,a913)),x91905),x91904)))
% 164.74/165.09 [9198]~P107(f334(x91982,x91985))+~P107(f334(f334(f336(x91981),x91985),x91984))+P107(f334(f334(f336(x91981),f872(x91982,x91983,x91984,x91981)),f334(f334(f123(f926(x91981,a913)),x91984),x91983)))
% 164.74/165.09 [9199]~P107(f334(x91992,x91995))+~P107(f334(f334(f336(x91991),x91995),x91993))+P107(f334(f334(f336(x91991),f872(x91992,x91993,x91994,x91991)),f334(f334(f123(f926(x91991,a913)),x91994),x91993)))
% 164.74/165.09 [9214]~P107(f334(f334(f248(f926(x92141,a913)),x92145),x92143))+~P107(f334(f334(f248(f926(x92141,a913)),x92142),x92144))+P107(f334(f334(f248(f926(x92141,a913)),f334(f334(f23(f926(x92141,a913)),x92142),x92143)),f334(f334(f23(f926(x92141,a913)),x92144),x92145)))
% 164.74/165.09 [9215]~P107(f334(f334(f248(f926(x92151,a913)),x92153),x92155))+~P107(f334(f334(f248(f926(x92151,a913)),x92152),x92154))+P107(f334(f334(f248(f926(x92151,a913)),f334(f334(f123(f926(x92151,a913)),x92152),x92153)),f334(f334(f123(f926(x92151,a913)),x92154),x92155)))
% 164.74/165.09 [9216]~P107(f334(f334(f248(f926(x92161,a913)),x92163),x92165))+~P107(f334(f334(f248(f926(x92161,a913)),x92162),x92164))+P107(f334(f334(f248(f926(x92161,a913)),f334(f334(f114(f926(x92161,a913)),x92162),x92163)),f334(f334(f114(f926(x92161,a913)),x92164),x92165)))
% 164.74/165.09 [9312]P107(f334(f334(f336(f925(x93121,x93121)),f334(f334(f266(x93121,x93121),x93122),x93123)),f328(x93121,x93124,x93125)))+~P107(f334(f334(f248(a919),f334(x93124,x93122)),f334(x93124,x93123)))+~P107(f334(f334(f336(f925(x93121,x93121)),f334(f334(f266(x93121,x93121),x93122),x93123)),x93125))
% 164.74/165.09 [9501]P107(f334(f334(f336(f925(x95011,x95011)),f334(f334(f266(x95011,x95011),x95012),x95013)),f314(x95011,x95014)))+~P107(f334(f334(f336(f925(x95011,x95011)),f334(f334(f266(x95011,x95011),x95012),x95015)),f314(x95011,x95014)))+~P107(f334(f334(f336(f925(x95011,x95011)),f334(f334(f266(x95011,x95011),x95015),x95013)),x95014))
% 164.74/165.09 [9502]P107(f334(f334(f336(f925(x95021,x95021)),f334(f334(f266(x95021,x95021),x95022),x95023)),f314(x95021,x95024)))+~P107(f334(f334(f336(f925(x95021,x95021)),f334(f334(f266(x95021,x95021),x95025),x95023)),f314(x95021,x95024)))+~P107(f334(f334(f336(f925(x95021,x95021)),f334(f334(f266(x95021,x95021),x95022),x95025)),x95024))
% 164.74/165.09 [9602]E(x96021,x96022)+E(f334(a125,f658(x96023,x96024,x96021,x96022,x96025)),x96024)+~P107(f334(f334(f336(f925(x96025,x96025)),f334(f334(f266(x96025,x96025),x96022),x96021)),f334(f334(f193(f925(x96025,x96025),a913),x96024),x96023)))
% 164.74/165.09 [9603]E(x96031,x96032)+E(f334(a125,f660(x96033,x96034,x96031,x96032,x96035)),x96034)+~P107(f334(f334(f336(f925(x96035,x96035)),f334(f334(f266(x96035,x96035),x96032),x96031)),f334(f334(f193(f925(x96035,x96035),a913),x96034),x96033)))
% 164.74/165.09 [9604]E(x96041,f2(a919))+E(f334(a125,f658(x96042,x96041,x96043,x96044,x96045)),x96041)+~P107(f334(f334(f336(f925(x96045,x96045)),f334(f334(f266(x96045,x96045),x96044),x96043)),f334(f334(f193(f925(x96045,x96045),a913),x96041),x96042)))
% 164.74/165.09 [9605]E(x96051,f2(a919))+E(f334(a125,f660(x96052,x96051,x96053,x96054,x96055)),x96051)+~P107(f334(f334(f336(f925(x96055,x96055)),f334(f334(f266(x96055,x96055),x96054),x96053)),f334(f334(f193(f925(x96055,x96055),a913),x96051),x96052)))
% 164.74/165.09 [9626]P107(f334(f334(f336(f925(x96261,x96261)),f334(f334(f266(x96261,x96261),x96262),x96263)),f334(f334(f296(x96261,x96261,x96261),x96264),f314(x96261,x96264))))+~P107(f334(f334(f336(f925(x96261,x96261)),f334(f334(f266(x96261,x96261),x96262),x96265)),x96264))+~P107(f334(f334(f336(f925(x96261,x96261)),f334(f334(f266(x96261,x96261),x96265),x96263)),x96264))
% 164.74/165.09 [9632]~P107(f334(f334(f336(f925(x96321,x96321)),f334(f334(f266(x96321,x96321),x96322),x96325)),f314(x96321,x96324)))+P107(f334(f334(f336(f925(x96321,x96321)),f334(f334(f266(x96321,x96321),x96322),x96323)),f334(f334(f296(x96321,x96321,x96321),x96324),f314(x96321,x96324))))+~P107(f334(f334(f336(f925(x96321,x96321)),f334(f334(f266(x96321,x96321),x96325),x96323)),x96324))
% 164.74/165.09 [9668]~P6(x96681,x96685,x96682)+~P107(f334(f334(f336(f925(x96681,x96681)),f334(f334(f266(x96681,x96681),x96683),x96684)),x96682))+P107(f334(f334(f248(f926(x96681,a913)),f334(f293(x96681,x96681,x96682),f334(f334(f316(x96681),x96683),f198(f926(x96681,a913))))),f334(f293(x96681,x96681,x96682),f334(f334(f316(x96681),x96684),f198(f926(x96681,a913))))))
% 164.74/165.09 [9697]E(x96971,x96972)+P107(f334(f334(f334(f334(a206,x96973),x96971),x96974),f438(x96972,x96974,x96971,x96973,x96975)))+~P107(f334(f334(f334(f334(a206,f33(x96975,x96973)),x96971),x96974),x96972))
% 164.74/165.09 [9698]E(x96981,x96982)+P107(f334(f334(f334(f334(a206,x96983),x96981),x96984),f588(x96982,x96984,x96981,x96983,x96985)))+~P107(f334(f334(f334(f334(a206,f33(x96985,x96983)),x96981),x96984),x96982))
% 164.74/165.09 [9703]~P107(f334(x97035,x97032))+P107(f334(f334(f334(f334(a206,x97031),x97032),x97033),f438(x97034,x97033,x97032,x97031,x97035)))+~P107(f334(f334(f334(f334(a206,f33(x97035,x97031)),x97032),x97033),x97034))
% 164.74/165.09 [9704]~P107(f334(x97045,x97042))+P107(f334(f334(f334(f334(a206,x97041),x97042),x97043),f588(x97044,x97043,x97042,x97041,x97045)))+~P107(f334(f334(f334(f334(a206,f33(x97045,x97041)),x97042),x97043),x97044))
% 164.74/165.09 [9736]P107(f334(f334(f336(f925(x97361,x97361)),f334(f334(f266(x97361,x97361),x97362),x97363)),f334(f334(f296(x97361,x97361,x97361),x97364),f314(x97361,x97364))))+~P107(f334(f334(f336(f925(x97361,x97361)),f334(f334(f266(x97361,x97361),x97362),x97365)),f334(f334(f296(x97361,x97361,x97361),x97364),f314(x97361,x97364))))+~P107(f334(f334(f336(f925(x97361,x97361)),f334(f334(f266(x97361,x97361),x97365),x97363)),x97364))
% 164.74/165.09 [9737]P107(f334(f334(f336(f925(x97371,x97371)),f334(f334(f266(x97371,x97371),x97372),x97373)),f334(f334(f296(x97371,x97371,x97371),x97374),f314(x97371,x97374))))+~P107(f334(f334(f336(f925(x97371,x97371)),f334(f334(f266(x97371,x97371),x97375),x97373)),f334(f334(f296(x97371,x97371,x97371),x97374),f314(x97371,x97374))))+~P107(f334(f334(f336(f925(x97371,x97371)),f334(f334(f266(x97371,x97371),x97372),x97375)),x97374))
% 164.74/165.09 [9789]~P107(f334(f75(x97891,x97891,x97894,x97892,x97893),x97895))+P107(f334(f334(f336(x97891),x97892),x97893))+P107(f334(f71(x97891,x97894,f334(f334(f316(x97891),x97892),x97893)),x97895))
% 164.74/165.09 [9827]~E(f334(f317(x98273,x98272,x98275),x98274),x98271)+E(x98271,f198(f926(x98272,a913)))+P107(f334(f334(f248(f926(x98273,a913)),f334(f317(x98272,x98273,f819(x98274,x98273,x98272,x98271)),x98271)),x98274))
% 164.74/165.09 [9873]~P3(x98735)+P107(f334(f334(f336(x98731),f896(x98732,x98733,x98734,x98731,x98735)),x98734))+P107(f334(f334(f248(x98735),f334(f334(f48(x98731,x98735),x98734),x98733)),x98732))
% 164.74/165.09 [9929]P35(x99291,x99292,x99293,x99294,x99295)+~E(f334(f199(f920(x99291)),x99294),f334(f199(f920(x99292)),x99295))+P107(f334(f334(f336(f925(x99291,x99292)),f758(x99295,x99294,x99293,x99292,x99291)),f334(f182(f925(x99291,x99292)),f334(f334(f191(x99291,x99292),x99294),x99295))))
% 164.74/165.09 [9930]P35(x99301,x99302,x99303,x99304,x99305)+~E(f334(f199(f920(x99301)),x99304),f334(f199(f920(x99302)),x99305))+P107(f334(f334(f336(f925(x99301,x99302)),f761(x99303,x99305,x99304,x99302,x99301)),f334(f182(f925(x99301,x99302)),f334(f334(f191(x99301,x99302),x99304),x99305))))
% 164.74/165.09 [10056]E(x100561,x100562)+P107(f334(f334(f334(f334(a206,f33(x100563,x100564)),f438(x100561,x100565,x100562,x100564,x100563)),x100565),x100561))+~P107(f334(f334(f334(f334(a206,f33(x100563,x100564)),x100562),x100565),x100561))
% 164.74/165.09 [10057]E(x100571,x100572)+P107(f334(f334(f334(f334(a206,f33(x100573,x100574)),f588(x100571,x100575,x100572,x100574,x100573)),x100575),x100571))+~P107(f334(f334(f334(f334(a206,f33(x100573,x100574)),x100572),x100575),x100571))
% 164.74/165.09 [10059]~P107(f334(x100591,x100595))+P107(f334(f334(f334(f334(a206,f33(x100591,x100592)),f438(x100593,x100594,x100595,x100592,x100591)),x100594),x100593))+~P107(f334(f334(f334(f334(a206,f33(x100591,x100592)),x100595),x100594),x100593))
% 164.74/165.09 [10060]~P107(f334(x100601,x100605))+P107(f334(f334(f334(f334(a206,f33(x100601,x100602)),f588(x100603,x100604,x100605,x100602,x100601)),x100604),x100603))+~P107(f334(f334(f334(f334(a206,f33(x100601,x100602)),x100605),x100604),x100603))
% 164.74/165.09 [10064]E(x100641,x100642)+P107(f334(f334(f336(f925(x100643,x100643)),f334(f334(f266(x100643,x100643),x100641),f661(x100644,x100645,x100642,x100641,x100643))),x100644))+~P107(f334(f334(f336(f925(x100643,x100643)),f334(f334(f266(x100643,x100643),x100641),x100642)),f334(f334(f193(f925(x100643,x100643),a913),x100645),x100644)))
% 164.74/165.09 [10065]E(x100651,f2(a919))+P107(f334(f334(f336(f925(x100652,x100652)),f334(f334(f266(x100652,x100652),x100653),f661(x100654,x100651,x100655,x100653,x100652))),x100654))+~P107(f334(f334(f336(f925(x100652,x100652)),f334(f334(f266(x100652,x100652),x100653),x100655)),f334(f334(f193(f925(x100652,x100652),a913),x100651),x100654)))
% 164.74/165.09 [10108]~P3(x101081)+~P107(f334(f334(f248(x101081),f334(x101084,f896(x101085,x101084,x101083,x101082,x101081))),x101085))+P107(f334(f334(f248(x101081),f334(f334(f48(x101082,x101081),x101083),x101084)),x101085))
% 164.74/165.09 [10150]E(x101501,x101502)+P107(f334(f334(f336(f925(x101503,x101503)),f334(f334(f266(x101503,x101503),f659(x101504,x101505,x101501,x101502,x101503)),x101501)),x101504))+~P107(f334(f334(f336(f925(x101503,x101503)),f334(f334(f266(x101503,x101503),x101502),x101501)),f334(f334(f193(f925(x101503,x101503),a913),x101505),x101504)))
% 164.74/165.09 [10151]E(x101511,f2(a919))+P107(f334(f334(f336(f925(x101512,x101512)),f334(f334(f266(x101512,x101512),f659(x101513,x101511,x101514,x101515,x101512)),x101514)),x101513))+~P107(f334(f334(f336(f925(x101512,x101512)),f334(f334(f266(x101512,x101512),x101515),x101514)),f334(f334(f193(f925(x101512,x101512),a913),x101511),x101513)))
% 164.74/165.09 [10155]E(x101551,x101552)+P107(f334(f334(f336(f925(x101553,x101553)),f334(f334(f266(x101553,x101553),x101551),f659(x101554,x101555,x101552,x101551,x101553))),f334(f334(f193(f925(x101553,x101553),a913),f658(x101554,x101555,x101552,x101551,x101553)),x101554)))+~P107(f334(f334(f336(f925(x101553,x101553)),f334(f334(f266(x101553,x101553),x101551),x101552)),f334(f334(f193(f925(x101553,x101553),a913),x101555),x101554)))
% 164.74/165.09 [10156]E(x101561,f2(a919))+P107(f334(f334(f336(f925(x101562,x101562)),f334(f334(f266(x101562,x101562),x101563),f659(x101564,x101561,x101565,x101563,x101562))),f334(f334(f193(f925(x101562,x101562),a913),f658(x101564,x101561,x101565,x101563,x101562)),x101564)))+~P107(f334(f334(f336(f925(x101562,x101562)),f334(f334(f266(x101562,x101562),x101563),x101565)),f334(f334(f193(f925(x101562,x101562),a913),x101561),x101564)))
% 164.74/165.09 [10205]E(x102051,x102052)+P107(f334(f334(f336(f925(x102053,x102053)),f334(f334(f266(x102053,x102053),f661(x102054,x102055,x102051,x102052,x102053)),x102051)),f334(f334(f193(f925(x102053,x102053),a913),f660(x102054,x102055,x102051,x102052,x102053)),x102054)))+~P107(f334(f334(f336(f925(x102053,x102053)),f334(f334(f266(x102053,x102053),x102052),x102051)),f334(f334(f193(f925(x102053,x102053),a913),x102055),x102054)))
% 164.74/165.09 [10206]E(x102061,f2(a919))+P107(f334(f334(f336(f925(x102062,x102062)),f334(f334(f266(x102062,x102062),f661(x102063,x102061,x102064,x102065,x102062)),x102064)),f334(f334(f193(f925(x102062,x102062),a913),f660(x102063,x102061,x102064,x102065,x102062)),x102063)))+~P107(f334(f334(f336(f925(x102062,x102062)),f334(f334(f266(x102062,x102062),x102065),x102064)),f334(f334(f193(f925(x102062,x102062),a913),x102061),x102063)))
% 164.74/165.09 [10240]~P72(x102402)+~P107(f334(f70(x102401),x102405))+E(f334(f334(f6(x102401,x102402),f334(f334(f7(x102401,x102402,x102402),f334(f334(f18(x102401,x102402,f926(x102402,x102402)),f334(f334(f8(a913,f926(x102402,f926(x102402,x102402)),x102401),f109(x102402)),f334(f334(f7(x102401,f926(x102401,a913),a913),f336(x102401)),x102403))),x102404)),f2(x102402))),x102405),f334(f334(f6(x102401,x102402),x102404),f334(f334(f114(f926(x102401,a913)),x102405),x102403)))
% 164.74/165.09 [8777]~P72(x87771)+~P107(f334(f70(x87774),x87775))+E(f334(f334(f89(x87771),f334(x87772,x87773)),f334(f334(f6(x87774,x87771),x87772),f334(f334(f23(f926(x87774,a913)),x87775),f334(f334(f316(x87774),x87773),f198(f926(x87774,a913)))))),f334(f334(f6(x87774,x87771),x87772),f334(f334(f316(x87774),x87773),x87775)))
% 164.74/165.09 [8778]~P76(x87781)+~P107(f334(f70(x87784),x87785))+E(f334(f334(f90(x87781),f334(x87782,x87783)),f334(f334(f9(x87784,x87781),x87782),f334(f334(f23(f926(x87784,a913)),x87785),f334(f334(f316(x87784),x87783),f198(f926(x87784,a913)))))),f334(f334(f9(x87784,x87781),x87782),f334(f334(f316(x87784),x87783),x87785)))
% 164.74/165.09 [9117]~P110(x91172)+~P12(x91172,f334(f178(x91172),f334(f334(f164(x91171,x91172),x91174),x91175)))+E(f334(f146(x91171,f334(f334(f8(x91172,a913,x91171),f334(f249(x91172),x91173)),x91174)),x91175),f187(x91171,f334(f334(f8(x91172,a913,x91171),f334(f249(x91172),x91173)),x91174),x91175))
% 164.74/165.09 [9142]~P72(x91421)+E(f334(f334(f89(x91421),f334(f334(f6(a919,x91421),x91422),f310(a919,x91423,x91424))),f334(f334(f6(a919,x91421),x91422),f310(a919,f334(f334(f89(a919),x91424),f87(a919)),f334(f334(f89(a919),x91424),x91425)))),f334(f334(f6(a919,x91421),x91422),f310(a919,x91423,f334(f334(f89(a919),x91424),x91425))))+~P107(f334(f334(f248(a919),x91423),f334(f334(f89(a919),x91424),f87(a919))))
% 164.74/165.09 [9143]~P107(f334(f334(f336(x91431),x91434),x91435))+~P107(f334(f334(f248(f926(x91431,a913)),f334(f182(x91431),x91432)),x91435))+P107(f334(f334(f248(f926(x91431,a913)),f334(f182(x91431),f334(f334(f169(x91431,x91432),x91433),x91434))),x91435))
% 164.74/165.09 [9369]~P3(x93692)+~P107(f334(f70(x93691),x93695))+E(f334(f334(f73(x93691,x93692,f334(f334(f8(x93692,f926(x93692,x93692),x93691),f123(x93692)),x93693)),x93694),x93695),f334(f334(f123(x93692),x93694),f334(f334(f48(x93691,x93692),x93695),x93693)))
% 164.74/165.09 [9370]~P3(x93702)+~P107(f334(f70(x93701),x93705))+E(f334(f334(f73(x93701,x93702,f334(f334(f8(x93702,f926(x93702,x93702),x93701),f114(x93702)),x93703)),x93704),x93705),f334(f334(f114(x93702),x93704),f334(f334(f49(x93701,x93702),x93705),x93703)))
% 164.74/165.09 [9423]E(f334(x94231,x94232),f334(x94231,x94233))+P107(f334(f334(f249(a919),f334(x94231,x94232)),f334(x94231,x94233)))+~P107(f334(f334(f336(f925(x94234,x94234)),f334(f334(f266(x94234,x94234),x94232),x94233)),f163(x94234,f334(f334(f161(f926(x94234,a919)),x94231),x94235))))
% 164.74/165.09 [9454]~E(f334(x94544,x94542),f334(x94544,x94543))+~P107(f334(f334(f336(f925(x94541,x94541)),f334(f334(f266(x94541,x94541),x94542),x94543)),f163(x94541,x94545)))+P107(f334(f334(f336(f925(x94541,x94541)),f334(f334(f266(x94541,x94541),x94542),x94543)),f163(x94541,f334(f334(f161(f926(x94541,a919)),x94544),x94545))))
% 164.74/165.09 [9477]~P23(x94771,x94772,x94773,x94775)+P23(x94771,x94772,x94773,f334(f334(f316(x94771),x94774),x94775))+P107(f334(f334(f336(x94772),f334(x94773,x94774)),f334(f317(x94771,x94772,x94773),f334(f334(f23(f926(x94771,a913)),x94775),f334(f334(f316(x94771),x94774),f198(f926(x94771,a913)))))))
% 164.74/165.09 [9482]P107(f334(x94822,x94825))+~P107(f334(f334(f336(x94821),x94825),f334(f182(x94821),x94823)))+E(f334(f334(f148(x94821),f334(f199(f920(x94821)),f187(x94821,x94822,f334(f334(f144(x94821),x94823),x94824)))),f334(f334(f144(x94821),x94823),x94824)),f334(f334(f144(x94821),f334(f334(f148(x94821),f334(f199(f920(x94821)),f187(x94821,x94822,x94823))),x94823)),x94824))
% 164.74/165.09 [9487]~P107(f334(f334(f336(f925(x94871,x94871)),f334(f334(f266(x94871,x94871),x94872),x94873)),f163(x94871,x94875)))+~P107(f334(f334(f248(a919),f334(x94874,x94872)),f334(x94874,x94873)))+P107(f334(f334(f336(f925(x94871,x94871)),f334(f334(f266(x94871,x94871),x94872),x94873)),f163(x94871,f334(f334(f161(f926(x94871,a919)),x94874),x94875))))
% 164.74/165.09 [9552]P107(f334(f334(f336(f925(x95524,x95524)),f334(f334(f266(x95524,x95524),x95522),x95523)),f163(x95524,x95525)))+P107(f334(f334(f249(a919),f334(x95521,x95522)),f334(x95521,x95523)))+~P107(f334(f334(f336(f925(x95524,x95524)),f334(f334(f266(x95524,x95524),x95522),x95523)),f163(x95524,f334(f334(f161(f926(x95524,a919)),x95521),x95525))))
% 164.74/165.09 [9707]~P107(f334(f334(f336(f925(f920(x97071),f920(x97071))),f334(f334(f266(f920(x97071),f920(x97071)),x97072),x97074)),f168(x97071,x97075)))+~P107(f334(f334(f249(a919),x97073),f334(f199(f920(x97071)),x97072)))+P107(f334(f334(f336(f925(x97071,x97071)),f334(f334(f266(x97071,x97071),f334(f334(f174(x97071),x97072),x97073)),f334(f334(f174(x97071),x97074),x97073))),x97075))
% 164.74/165.09 [9952]E(x99521,f2(a1))+~P107(f334(f58(x99523,x99521),f334(f334(f266(a1,a1),x99524),x99525)))+P107(f334(f58(f334(f334(f90(a1),x99522),x99523),x99521),f334(f334(f266(a1,a1),f334(f334(f89(a1),f334(f334(f90(a1),x99522),x99524)),f334(f334(f45(a1),f334(f334(f90(a1),x99522),x99525)),x99521))),f54(a1,f334(f334(f90(a1),x99522),x99525),x99521))))
% 164.74/165.09 [9957]~P107(f334(f334(f249(a919),f2(a919)),x99573))+~P107(f334(f57(x99572,x99573),f334(f334(f266(a919,a919),x99574),x99575)))+P107(f334(f57(f334(f334(f90(a919),x99571),x99572),x99573),f334(f334(f266(a919,a919),f334(f334(f89(a919),f334(f334(f90(a919),x99571),x99574)),f334(f334(f45(a919),f334(f334(f90(a919),x99571),x99575)),x99573))),f54(a919,f334(f334(f90(a919),x99571),x99575),x99573))))
% 164.74/165.09 [10263]~P72(x102632)+~P107(f334(f70(x102631),x102634))+E(f334(f334(f6(x102631,x102632),x102633),f334(f254(x102631),f334(f334(f18(x102631,a913,a913),f334(f334(f8(a913,f926(a913,a913),x102631),a333),f334(f334(f7(x102631,f926(x102631,a913),a913),f336(x102631)),x102634))),f334(f334(f7(x102631,f926(x102631,a913),a913),f336(x102631)),x102635)))),f334(f334(f6(x102631,x102632),f334(f334(f7(x102631,x102632,x102632),f334(f334(f18(x102631,x102632,f926(x102632,x102632)),f334(f334(f8(a913,f926(x102632,f926(x102632,x102632)),x102631),f109(x102632)),f334(f334(f7(x102631,f926(x102631,a913),a913),f336(x102631)),x102635))),x102633)),f2(x102632))),x102634))
% 164.74/165.09 [8395]~E(f334(f334(f144(x83951),x83952),x83955),f334(f334(f144(x83951),x83953),x83954))+E(f334(f334(f144(x83951),f334(f334(f148(x83951),f334(f199(f920(x83951)),x83952)),x83953)),x83954),x83955)+P107(f334(f334(f248(a919),f334(f199(f920(x83951)),x83953)),f334(f199(f920(x83951)),x83952)))
% 164.74/165.09 [8598]~E(f334(f334(f144(x85982),x85983),x85981),f334(f334(f144(x85982),x85984),x85985))+E(x85981,f334(f334(f144(x85982),f334(f334(f148(x85982),f334(f199(f920(x85982)),x85983)),x85984)),x85985))+~P107(f334(f334(f248(a919),f334(f199(f920(x85982)),x85983)),f334(f199(f920(x85982)),x85984)))
% 164.74/165.09 [8689]~E(f334(f334(f89(a919),f334(f334(f90(a919),x86893),x86894)),x86891),f334(f334(f89(a919),f334(f334(f90(a919),x86892),x86894)),x86895))+~P107(f334(f334(f248(a919),x86893),x86892))+E(x86891,f334(f334(f89(a919),f334(f334(f90(a919),f334(f334(f23(a919),x86892),x86893)),x86894)),x86895))
% 164.74/165.09 [8690]~E(f334(f334(f89(a919),f334(f334(f90(a919),x86901),x86903)),x86904),f334(f334(f89(a919),f334(f334(f90(a919),x86902),x86903)),x86905))+~P107(f334(f334(f248(a919),x86902),x86901))+E(f334(f334(f89(a919),f334(f334(f90(a919),f334(f334(f23(a919),x86901),x86902)),x86903)),x86904),x86905)
% 164.74/165.09 [8860]E(f334(f334(f89(a919),f334(f334(f90(a919),x88601),x88602)),x88603),f334(f334(f89(a919),f334(f334(f90(a919),x88604),x88602)),x88605))+~P107(f334(f334(f248(a919),x88604),x88601))+~E(x88605,f334(f334(f89(a919),f334(f334(f90(a919),f334(f334(f23(a919),x88601),x88604)),x88602)),x88603))
% 164.74/165.09 [8861]E(f334(f334(f89(a919),f334(f334(f90(a919),x88611),x88612)),x88613),f334(f334(f89(a919),f334(f334(f90(a919),x88614),x88612)),x88615))+~P107(f334(f334(f248(a919),x88614),x88611))+~E(f334(f334(f89(a919),f334(f334(f90(a919),f334(f334(f23(a919),x88611),x88614)),x88612)),x88613),x88615)
% 164.74/165.09 [9763]~P65(x97632)+~P107(f334(f70(x97631),x97635))+E(f334(f334(f9(x97631,x97632),f334(f334(f18(x97631,x97632,x97632),f334(f334(f8(x97632,f926(x97632,x97632),x97631),f297(x97632)),x97633)),x97634)),x97635),f334(f334(f297(x97632),f334(f334(f9(x97631,x97632),x97633),x97635)),f334(f334(f9(x97631,x97632),x97634),x97635)))
% 164.74/165.09 [9891]~E(f664(x98915,x98914,x98913,x98912,x98911),f665(x98915,x98914,x98913,x98912,x98911))+P107(f334(f334(f336(f925(x98911,x98911)),f334(f334(f266(x98911,x98911),x98912),x98913)),f314(x98911,x98914)))+~P107(f334(f334(f336(f925(x98911,x98911)),f334(f334(f266(x98911,x98911),x98912),x98913)),f314(x98911,f334(f334(f123(f926(f925(x98911,x98911),a913)),x98914),x98915))))
% 164.74/165.09 [9892]~E(f668(x98925,x98924,x98923,x98922,x98921),f669(x98925,x98924,x98923,x98922,x98921))+P107(f334(f334(f336(f925(x98921,x98921)),f334(f334(f266(x98921,x98921),x98922),x98923)),f314(x98921,x98924)))+~P107(f334(f334(f336(f925(x98921,x98921)),f334(f334(f266(x98921,x98921),x98922),x98923)),f314(x98921,f334(f334(f123(f926(f925(x98921,x98921),a913)),x98924),x98925))))
% 164.74/165.09 [10096]P107(f334(f334(f336(f925(x100961,x100961)),f334(f334(f266(x100961,x100961),x100962),f665(x100965,x100964,x100963,x100962,x100961))),f314(x100961,x100964)))+P107(f334(f334(f336(f925(x100961,x100961)),f334(f334(f266(x100961,x100961),x100962),x100963)),f314(x100961,x100964)))+~P107(f334(f334(f336(f925(x100961,x100961)),f334(f334(f266(x100961,x100961),x100962),x100963)),f314(x100961,f334(f334(f123(f926(f925(x100961,x100961),a913)),x100964),x100965))))
% 164.74/165.09 [10177]P107(f334(f334(f336(f925(x101771,x101771)),f334(f334(f266(x101771,x101771),f669(x101775,x101774,x101773,x101772,x101771)),x101773)),f314(x101771,x101774)))+P107(f334(f334(f336(f925(x101771,x101771)),f334(f334(f266(x101771,x101771),x101772),x101773)),f314(x101771,x101774)))+~P107(f334(f334(f336(f925(x101771,x101771)),f334(f334(f266(x101771,x101771),x101772),x101773)),f314(x101771,f334(f334(f123(f926(f925(x101771,x101771),a913)),x101774),x101775))))
% 164.74/165.09 [10212]P107(f334(f334(f336(f925(x102121,x102121)),f334(f334(f266(x102121,x102121),x102122),x102123)),f314(x102121,x102124)))+P107(f334(f334(f336(f925(x102121,x102121)),f334(f334(f266(x102121,x102121),f665(x102125,x102124,x102123,x102122,x102121)),f664(x102125,x102124,x102123,x102122,x102121))),x102125))+~P107(f334(f334(f336(f925(x102121,x102121)),f334(f334(f266(x102121,x102121),x102122),x102123)),f314(x102121,f334(f334(f123(f926(f925(x102121,x102121),a913)),x102124),x102125))))
% 164.74/165.09 [10213]P107(f334(f334(f336(f925(x102131,x102131)),f334(f334(f266(x102131,x102131),x102132),x102133)),f314(x102131,x102134)))+P107(f334(f334(f336(f925(x102131,x102131)),f334(f334(f266(x102131,x102131),f668(x102135,x102134,x102133,x102132,x102131)),f669(x102135,x102134,x102133,x102132,x102131))),x102135))+~P107(f334(f334(f336(f925(x102131,x102131)),f334(f334(f266(x102131,x102131),x102132),x102133)),f314(x102131,f334(f334(f123(f926(f925(x102131,x102131),a913)),x102134),x102135))))
% 164.74/165.09 [10351]~P107(f334(f334(f336(f925(f920(x103511),f920(x103511))),f334(f334(f266(f920(x103511),f920(x103511)),x103514),x103515)),f168(x103511,x103512)))+~P107(f334(f334(f336(f925(x103511,x103511)),x103513),f334(f182(f925(x103511,x103511)),f334(f334(f191(x103511,x103511),x103514),x103515))))+P107(f334(f334(f270(x103511,x103511,a913),f334(f334(f7(x103511,f926(f925(x103511,x103511),a913),f926(x103511,a913)),f334(f334(f8(f926(x103511,f926(f926(f925(x103511,x103511),a913),a913)),f926(f926(f925(x103511,x103511),a913),f926(x103511,a913)),x103511),f7(x103511,f926(f925(x103511,x103511),a913),a913)),f334(f334(f8(f926(x103511,f925(x103511,x103511)),f926(x103511,f926(f926(f925(x103511,x103511),a913),a913)),x103511),f334(f8(f925(x103511,x103511),f926(f926(f925(x103511,x103511),a913),a913),x103511),f336(f925(x103511,x103511)))),f266(x103511,x103511)))),x103512)),x103513))
% 164.74/165.09 [9793]~P107(f334(f334(f248(a919),x97933),x97932))+~P107(f334(f334(f248(a919),f334(f334(f89(a919),f334(f334(f90(a919),x97933),x97934)),x97931)),f334(f334(f89(a919),f334(f334(f90(a919),x97932),x97934)),x97935)))+P107(f334(f334(f248(a919),x97931),f334(f334(f89(a919),f334(f334(f90(a919),f334(f334(f23(a919),x97932),x97933)),x97934)),x97935)))
% 164.74/165.09 [9794]~P107(f334(f334(f248(a919),x97943),x97942))+~P107(f334(f334(f249(a919),f334(f334(f89(a919),f334(f334(f90(a919),x97943),x97944)),x97941)),f334(f334(f89(a919),f334(f334(f90(a919),x97942),x97944)),x97945)))+P107(f334(f334(f249(a919),x97941),f334(f334(f89(a919),f334(f334(f90(a919),f334(f334(f23(a919),x97942),x97943)),x97944)),x97945)))
% 164.74/165.09 [9811]~P107(f334(f334(f248(a919),x98111),x98114))+P107(f334(f334(f248(a919),f334(f334(f89(a919),f334(f334(f90(a919),x98111),x98112)),x98113)),f334(f334(f89(a919),f334(f334(f90(a919),x98114),x98112)),x98115)))+~P107(f334(f334(f248(a919),x98113),f334(f334(f89(a919),f334(f334(f90(a919),f334(f334(f23(a919),x98114),x98111)),x98112)),x98115)))
% 164.74/165.09 [9812]~P107(f334(f334(f248(a919),x98121),x98124))+P107(f334(f334(f249(a919),f334(f334(f89(a919),f334(f334(f90(a919),x98121),x98122)),x98123)),f334(f334(f89(a919),f334(f334(f90(a919),x98124),x98122)),x98125)))+~P107(f334(f334(f249(a919),x98123),f334(f334(f89(a919),f334(f334(f90(a919),f334(f334(f23(a919),x98124),x98121)),x98122)),x98125)))
% 164.74/165.09 [9927]~P107(f334(f334(f248(a919),x99272),x99271))+~P107(f334(f334(f248(a919),f334(f334(f89(a919),f334(f334(f90(a919),x99271),x99273)),x99274)),f334(f334(f89(a919),f334(f334(f90(a919),x99272),x99273)),x99275)))+P107(f334(f334(f248(a919),f334(f334(f89(a919),f334(f334(f90(a919),f334(f334(f23(a919),x99271),x99272)),x99273)),x99274)),x99275))
% 164.74/165.09 [9928]~P107(f334(f334(f248(a919),x99282),x99281))+~P107(f334(f334(f249(a919),f334(f334(f89(a919),f334(f334(f90(a919),x99281),x99283)),x99284)),f334(f334(f89(a919),f334(f334(f90(a919),x99282),x99283)),x99285)))+P107(f334(f334(f249(a919),f334(f334(f89(a919),f334(f334(f90(a919),f334(f334(f23(a919),x99281),x99282)),x99283)),x99284)),x99285))
% 164.74/165.09 [9975]~P107(f334(f334(f248(a919),x99754),x99751))+P107(f334(f334(f248(a919),f334(f334(f89(a919),f334(f334(f90(a919),x99751),x99752)),x99753)),f334(f334(f89(a919),f334(f334(f90(a919),x99754),x99752)),x99755)))+~P107(f334(f334(f248(a919),f334(f334(f89(a919),f334(f334(f90(a919),f334(f334(f23(a919),x99751),x99754)),x99752)),x99753)),x99755))
% 164.74/165.09 [9976]~P107(f334(f334(f248(a919),x99764),x99761))+P107(f334(f334(f249(a919),f334(f334(f89(a919),f334(f334(f90(a919),x99761),x99762)),x99763)),f334(f334(f89(a919),f334(f334(f90(a919),x99764),x99762)),x99765)))+~P107(f334(f334(f249(a919),f334(f334(f89(a919),f334(f334(f90(a919),f334(f334(f23(a919),x99761),x99764)),x99762)),x99763)),x99765))
% 164.74/165.09 [10200]~P10(x102001,x102002,x102005,x102003)+~P107(f334(f334(f336(f925(x102001,x102001)),x102004),x102005))+P107(f334(f334(f270(x102001,x102001,a913),f334(f334(f7(x102001,f926(x102001,x102002),f926(x102001,a913)),f334(f334(f8(f926(x102002,a913),f926(f926(x102001,x102002),f926(x102001,a913)),x102001),f8(x102002,a913,x102001)),f334(f334(f8(x102002,f926(x102002,a913),x102001),a331),x102003))),x102003)),x102004))
% 164.74/165.09 [8557]~P17(x85576,x85571,x85572,x85574)+E(f334(f81(x85571,x85571,x85571,f334(x85572,x85573)),f334(x85574,x85575)),f334(f81(x85571,x85571,x85571,f334(x85574,x85575)),f334(x85572,x85573)))+~P107(f334(f70(x85576),x85575))
% 164.74/165.09 [9002]~P23(x90021,x90023,x90025,x90026)+~P23(x90023,x90022,x90024,f334(f317(x90021,x90023,x90025),x90026))+P23(x90021,x90022,f334(f81(x90023,x90022,x90021,x90024),x90025),x90026)
% 164.74/165.09 [9586]~P107(f334(f334(x95863,x95862),x95866))+~P107(f334(f334(x95864,x95865),x95862))+P107(f334(f334(f336(x95861),x95862),f307(x95861,x95863,x95864,x95865,x95866)))
% 164.74/165.09 [9587]~P107(f334(f334(x95874,x95872),x95876))+~P107(f334(f334(x95873,x95875),x95872))+P107(f334(f334(f336(x95871),x95872),f304(x95871,x95873,x95874,x95875,x95876)))
% 164.74/165.09 [9708]E(x97081,x97082)+E(x97083,x97084)+~P107(f334(f334(f336(f925(f920(x97085),f920(x97085))),f334(f334(f266(f920(x97085),f920(x97085)),f334(f334(f161(x97085),x97083),x97081)),f334(f334(f161(x97085),x97084),x97082))),f167(x97085,x97086)))
% 164.74/165.09 [9718]~E(x97182,x97184)+P107(f334(f334(f336(f925(f920(x97181),f920(x97181))),f334(f334(f266(f920(x97181),f920(x97181)),f334(f334(f161(x97181),x97182),x97183)),f334(f334(f161(x97181),x97184),x97185))),f155(x97181,x97186)))+~P107(f334(f334(f336(f925(f920(x97181),f920(x97181))),f334(f334(f266(f920(x97181),f920(x97181)),x97183),x97185)),f155(x97181,x97186)))
% 164.74/165.09 [9719]~E(x97192,x97194)+P107(f334(f334(f336(f925(f920(x97191),f920(x97191))),f334(f334(f266(f920(x97191),f920(x97191)),f334(f334(f161(x97191),x97192),x97193)),f334(f334(f161(x97191),x97194),x97195))),f157(x97191,x97196)))+~P107(f334(f334(f336(f925(f920(x97191),f920(x97191))),f334(f334(f266(f920(x97191),f920(x97191)),x97193),x97195)),f157(x97191,x97196)))
% 164.74/165.09 [9720]~E(x97202,x97204)+P107(f334(f334(f336(f925(f920(x97201),f920(x97201))),f334(f334(f266(f920(x97201),f920(x97201)),f334(f334(f161(x97201),x97202),x97203)),f334(f334(f161(x97201),x97204),x97205))),f167(x97201,x97206)))+~P107(f334(f334(f336(f925(f920(x97201),f920(x97201))),f334(f334(f266(f920(x97201),f920(x97201)),x97203),x97205)),f167(x97201,x97206)))
% 164.74/165.09 [9721]~E(x97212,x97214)+P107(f334(f334(f336(f925(f920(x97211),f920(x97211))),f334(f334(f266(f920(x97211),f920(x97211)),f334(f334(f144(x97211),x97212),x97213)),f334(f334(f144(x97211),x97214),x97215))),f167(x97211,x97216)))+~P107(f334(f334(f336(f925(f920(x97211),f920(x97211))),f334(f334(f266(f920(x97211),f920(x97211)),x97213),x97215)),f167(x97211,x97216)))
% 164.74/165.09 [9722]~E(x97223,x97225)+P107(f334(f334(f336(f925(f920(x97221),f920(x97221))),f334(f334(f266(f920(x97221),f920(x97221)),f334(f334(f144(x97221),x97222),x97223)),f334(f334(f144(x97221),x97224),x97225))),f167(x97221,x97226)))+~P107(f334(f334(f336(f925(f920(x97221),f920(x97221))),f334(f334(f266(f920(x97221),f920(x97221)),x97222),x97224)),f167(x97221,x97226)))
% 164.74/165.09 [9780]E(x97801,x97802)+P107(f334(f334(f336(f925(f920(x97803),f920(x97803))),f334(f334(f266(f920(x97803),f920(x97803)),x97801),x97802)),f167(x97803,x97804)))+~P107(f334(f334(f336(f925(f920(x97803),f920(x97803))),f334(f334(f266(f920(x97803),f920(x97803)),f334(f334(f161(x97803),x97805),x97801)),f334(f334(f161(x97803),x97806),x97802))),f167(x97803,x97804)))
% 164.74/165.09 [9931]~E(x99313,x99315)+P107(f334(f334(f336(f925(f920(x99311),f920(x99311))),f334(f334(f266(f920(x99311),f920(x99311)),f334(f334(f144(x99311),x99312),f334(f334(f161(x99311),x99313),f126(x99311)))),f334(f334(f144(x99311),x99314),f334(f334(f161(x99311),x99315),f126(x99311))))),f167(x99311,x99316)))+~P107(f334(f334(f336(f925(f920(x99311),f920(x99311))),f334(f334(f266(f920(x99311),f920(x99311)),x99312),x99314)),f167(x99311,x99316)))
% 164.74/165.09 [9979]E(x99791,x99792)+E(x99793,x99794)+~P107(f334(f334(f336(f925(f920(x99795),f920(x99795))),f334(f334(f266(f920(x99795),f920(x99795)),f334(f334(f144(x99795),x99793),f334(f334(f161(x99795),x99791),f126(x99795)))),f334(f334(f144(x99795),x99794),f334(f334(f161(x99795),x99792),f126(x99795))))),f167(x99795,x99796)))
% 164.74/165.09 [10004]E(x100041,x100042)+~P107(f334(f334(f336(f925(f920(x100043),f920(x100043))),f334(f334(f266(f920(x100043),f920(x100043)),f334(f334(f144(x100043),x100041),f334(f334(f161(x100043),x100045),f126(x100043)))),f334(f334(f144(x100043),x100042),f334(f334(f161(x100043),x100046),f126(x100043))))),f167(x100043,x100044)))+P107(f334(f334(f336(f925(f920(x100043),f920(x100043))),f334(f334(f266(f920(x100043),f920(x100043)),x100041),x100042)),f167(x100043,x100044)))
% 164.74/165.09 [10041]~P107(f334(f334(f336(f925(f926(x100411,a913),f926(x100411,a913))),f334(f334(f266(f926(x100411,a913),f926(x100411,a913)),x100412),x100414)),f326(x100411,x100416)))+~P107(f334(f334(f336(f925(f926(x100411,a913),f926(x100411,a913))),f334(f334(f266(f926(x100411,a913),f926(x100411,a913)),x100413),x100415)),f326(x100411,x100416)))+P107(f334(f334(f336(f925(f926(x100411,a913),f926(x100411,a913))),f334(f334(f266(f926(x100411,a913),f926(x100411,a913)),f334(f334(f123(f926(x100411,a913)),x100412),x100413)),f334(f334(f123(f926(x100411,a913)),x100414),x100415))),f326(x100411,x100416)))
% 164.74/165.09 [5809]~E(f334(f334(f144(x58091),x58096),x58093),x58095)+E(f334(f334(f144(x58091),x58092),x58093),f334(f334(f161(x58091),x58094),x58095))+~E(x58092,f334(f334(f161(x58091),x58094),x58096))
% 164.74/165.09 [5810]~E(f334(f334(f144(x58101),x58106),x58103),x58105)+E(f334(f334(f144(x58101),x58102),x58103),f334(f334(f144(x58101),x58104),x58105))+~E(x58102,f334(f334(f144(x58101),x58104),x58106))
% 164.74/165.09 [5812]E(f334(f334(f144(x58121),x58122),x58123),f334(f334(f161(x58121),x58124),x58125))+~E(f334(f334(f161(x58121),x58124),x58126),x58122)+~E(x58125,f334(f334(f144(x58121),x58126),x58123))
% 164.74/165.09 [5814]~E(f334(f334(f144(x58141),x58142),x58146),x58144)+E(f334(f334(f144(x58141),x58142),x58143),f334(f334(f144(x58141),x58144),x58145))+~E(x58143,f334(f334(f144(x58141),x58146),x58145))
% 164.74/165.09 [6944]E(f334(x69441,x69442),f334(x69443,x69442))+~E(f334(f334(f164(x69444,x69445),x69441),x69446),f334(f334(f164(x69444,x69445),x69443),x69446))+~P107(f334(f334(f336(x69444),x69442),f334(f182(x69444),x69446)))
% 164.74/165.09 [7327]~P17(x73274,x73275,x73276,x73271)+E(f334(f334(x73271,x73272),x73273),f334(f334(f73(x73274,x73275,x73276),x73273),x73272))+~P107(f334(f70(x73274),x73272))
% 164.74/165.09 [7395]~E(x73952,f334(x73954,x73956))+~P107(f334(f334(f336(x73953),x73956),x73955))+P107(f334(f334(f336(x73951),x73952),f334(f317(x73953,x73951,x73954),x73955)))
% 164.74/165.09 [7396]~E(f334(x73964,x73962),x73966)+~P107(f334(f334(f336(x73963),x73966),x73965))+P107(f334(f334(f336(x73961),x73962),f334(f318(x73961,x73963,x73964),x73965)))
% 164.74/165.09 [7841]~P33(x78411,x78412,x78414,x78416)+P33(x78411,x78412,f334(f334(f161(x78411),x78413),x78414),f334(f334(f161(x78411),x78415),x78416))+~P107(f334(f334(x78412,x78413),x78415))
% 164.74/165.09 [8870]~P56(x88704,x88705,x88701,x88702,x88706)+E(f334(x88701,f334(x88702,x88703)),x88703)+~P107(f334(f334(f336(x88705),x88703),x88706))
% 164.74/165.09 [9379]~P24(x93792,x93791,x93795,x93794,x93793)+E(f334(f101(x93791,x93792,x93793,f101(x93792,x93791,x93794,x93795)),x93796),f334(x93795,x93796))+~P107(f334(f334(f336(x93792),x93796),x93794))
% 164.74/165.09 [9388]~P23(x93881,x93882,x93883,x93886)+P23(x93881,x93882,f83(x93881,x93882,x93883,x93884,x93885),x93886)+P107(f334(f334(f336(x93882),x93885),f334(f317(x93881,x93882,x93883),x93886)))
% 164.74/165.09 [9710]E(x97101,x97102)+E(f334(f199(f920(x97103)),x97104),f334(f199(f920(x97103)),x97105))+~P107(f334(f334(f336(f925(f920(x97103),f920(x97103))),f334(f334(f266(f920(x97103),f920(x97103)),f334(f334(f161(x97103),x97101),x97104)),f334(f334(f161(x97103),x97102),x97105))),f155(x97103,x97106)))
% 164.74/165.09 [9775]~P14(x97751,x97752,x97753)+E(f334(f334(f73(x97751,x97752,x97753),x97754),x97755),x97756)+~P107(f334(f75(x97751,x97752,x97753,x97754,x97755),x97756))
% 164.74/165.09 [9784]E(f334(f199(f920(x97841)),x97842),f334(f199(f920(x97841)),x97843))+P107(f334(f334(f336(f925(f920(x97841),f920(x97841))),f334(f334(f266(f920(x97841),f920(x97841)),x97842),x97843)),f155(x97841,x97844)))+~P107(f334(f334(f336(f925(f920(x97841),f920(x97841))),f334(f334(f266(f920(x97841),f920(x97841)),f334(f334(f161(x97841),x97845),x97842)),f334(f334(f161(x97841),x97846),x97843))),f155(x97841,x97844)))
% 164.74/165.09 [9805]~P107(f334(f334(f336(f925(x98051,x98051)),f334(f334(f266(x98051,x98051),x98052),x98054)),f314(x98051,x98056)))+P107(f334(f334(f336(f925(f920(x98051),f920(x98051))),f334(f334(f266(f920(x98051),f920(x98051)),f334(f334(f161(x98051),x98052),x98053)),f334(f334(f161(x98051),x98054),x98055))),f314(f920(x98051),f167(x98051,x98056))))+~P107(f334(f334(f336(f925(f920(x98051),f920(x98051))),f334(f334(f266(f920(x98051),f920(x98051)),x98053),x98055)),f314(f920(x98051),f167(x98051,x98056))))
% 164.74/165.09 [9985]~P107(f334(x99852,x99856))+~E(f334(f146(x99851,x99852),x99853),f334(f334(f161(x99851),x99854),x99855))+~P107(f334(f334(f336(x99851),x99856),f334(f182(x99851),f803(x99855,x99854,x99853,x99852,x99851))))
% 164.74/165.09 [9986]~P107(f334(x99864,x99866))+~E(f334(f334(f161(x99861),x99862),x99863),f334(f146(x99861,x99864),x99865))+~P107(f334(f334(f336(x99861),x99866),f334(f182(x99861),f807(x99865,x99864,x99863,x99862,x99861))))
% 164.74/165.09 [10295]~P72(x102952)+E(f334(f334(f6(x102951,x102952),f334(f334(f8(f926(x102953,a913),x102952,x102951),f334(f6(x102953,x102952),x102954)),f334(f334(f8(f926(x102953,a913),f926(x102953,a913),x102951),f254(x102953)),f334(f334(f8(f926(x102953,a913),f926(x102953,a913),x102951),f334(f18(x102953,a913,a913),f334(f334(f8(a913,f926(a913,a913),x102953),a333),f334(f334(f7(x102953,f926(x102953,a913),a913),f336(x102953)),x102955)))),f334(f7(x102953,x102951,a913),f334(f334(f8(x102951,f926(x102951,a913),x102953),a331),x102956)))))),f334(f317(x102953,x102951,x102956),x102955)),f334(f334(f6(x102953,x102952),x102954),x102955))+~P107(f334(f70(x102953),x102955))
% 164.74/165.09 [7001]~P110(x70013)+P107(f334(x70012,x70015))+E(f334(f146(x70011,x70012),f334(f334(f158(x70011,x70013,x70014),x70015),x70016)),f334(f146(x70011,x70012),x70016))
% 164.74/165.09 [7003]P107(f334(x70031,x70032))+~E(f176(x70033,x70031,x70034),f334(f334(f266(f920(x70033),f920(x70033)),x70035),x70036))+~P107(f334(f334(f336(x70033),x70032),f334(f182(x70033),x70035)))
% 164.74/165.09 [7046]~P107(f334(x70462,x70466))+~E(f176(x70461,x70462,x70463),f334(f334(f266(f920(x70461),f920(x70461)),x70464),x70465))+~P107(f334(f334(f336(x70461),x70466),f334(f182(x70461),x70465)))
% 164.74/165.09 [7705]~P13(x77051,x77052,x77053)+~P107(f334(f70(x77051),x77056))+E(f334(f334(f73(x77051,x77052,x77053),x77054),f334(f334(f316(x77051),x77055),x77056)),f334(f334(f73(x77051,x77052,x77053),f334(f334(x77053,x77055),x77054)),x77056))
% 164.74/165.09 [7756]~P110(x77562)+~P107(f334(f334(f248(x77562),f334(x77563,x77564)),f334(x77563,x77565)))+E(f334(f334(f158(x77561,x77562,x77563),x77564),f334(f334(f161(x77561),x77565),x77566)),f334(f334(f161(x77561),x77564),f334(f334(f161(x77561),x77565),x77566)))
% 164.74/165.09 [7870]E(x78701,x78702)+~E(f334(f334(f268(x78703,x78704),x78701),f334(f16(f926(x78704,a913),x78703),x78705)),f334(f334(f268(x78703,x78704),x78702),f334(f16(f926(x78704,a913),x78703),x78705)))+~P107(f334(f334(f336(x78704),x78706),x78705))
% 164.74/165.09 [7937]~P13(x79371,x79372,x79373)+~P107(f334(f70(x79371),x79376))+E(f334(f334(f73(x79371,x79372,x79373),x79374),f334(f334(f316(x79371),x79375),x79376)),f334(f334(x79373,x79375),f334(f334(f73(x79371,x79372,x79373),x79374),x79376)))
% 164.74/165.09 [8055]~P14(x80551,x80552,x80553)+~P107(f334(f70(x80551),x80556))+E(f334(f334(f73(x80551,x80552,x80553),f334(f334(x80553,x80554),x80555)),x80556),f334(f334(x80553,x80554),f334(f334(f73(x80551,x80552,x80553),x80555),x80556)))
% 164.74/165.09 [8122]~P18(x81222,x81225,x81226,x81221)+~P107(f334(f70(x81222),x81224))+E(f334(x81221,f334(f334(f316(x81222),x81223),x81224)),f334(f81(x81225,x81225,x81225,f334(x81221,x81224)),f334(x81226,x81223)))
% 164.74/165.09 [8160]~P110(x81602)+P107(f334(f334(f248(x81602),f334(x81603,x81604)),f334(x81603,x81605)))+E(f334(f334(f158(x81601,x81602,x81603),x81604),f334(f334(f161(x81601),x81605),x81606)),f334(f334(f161(x81601),x81605),f334(f334(f158(x81601,x81602,x81603),x81604),x81606)))
% 164.74/165.09 [8301]~E(f334(f199(f920(x83011)),x83015),f334(f199(f920(x83012)),x83016))+~E(f334(f199(f920(x83011)),x83013),f334(f199(f920(x83012)),x83014))+E(f334(f334(f144(f925(x83011,x83012)),f334(f334(f191(x83011,x83012),x83013),x83014)),f334(f334(f191(x83011,x83012),x83015),x83016)),f334(f334(f191(x83011,x83012),f334(f334(f144(x83011),x83013),x83015)),f334(f334(f144(x83012),x83014),x83016)))
% 164.74/165.09 [8412]~E(x84122,f334(f317(x84123,x84121,x84124),x84126))+P107(f334(f334(f248(f926(x84121,a913)),x84122),f334(f317(x84123,x84121,x84124),x84125)))+~P107(f334(f334(f248(f926(x84123,a913)),x84126),x84125))
% 164.74/165.09 [8513]~P110(x85135)+E(f334(x85131,x85132),f334(x85131,x85133))+E(f334(f334(f158(x85134,x85135,x85131),x85132),f334(f334(f158(x85134,x85135,x85131),x85133),x85136)),f334(f334(f158(x85134,x85135,x85131),x85133),f334(f334(f158(x85134,x85135,x85131),x85132),x85136)))
% 164.74/165.09 [8698]~P107(f334(f334(f336(x86982),x86984),f334(x86986,x86983)))+~P107(f334(f334(f336(x86981),x86983),x86985))+P107(f334(f334(f336(f925(x86981,x86982)),f334(f334(f266(x86981,x86982),x86983),x86984)),f334(f334(f268(x86981,x86982),x86985),x86986)))
% 164.74/165.09 [9187]~P72(x91872)+~P23(x91874,x91871,x91875,x91876)+E(f334(f334(f6(x91871,x91872),x91873),f334(f317(x91874,x91871,x91875),x91876)),f334(f334(f6(x91874,x91872),f334(f81(x91871,x91872,x91874,x91873),x91875)),x91876))
% 164.74/165.09 [9188]~P76(x91882)+~P23(x91884,x91881,x91885,x91886)+E(f334(f334(f9(x91881,x91882),x91883),f334(f317(x91884,x91881,x91885),x91886)),f334(f334(f9(x91884,x91882),f334(f81(x91881,x91882,x91884,x91883),x91885)),x91886))
% 164.74/165.09 [9235]~P35(x92352,x92355,x92351,x92353,x92356)+P107(f334(f334(x92351,f334(f334(f174(x92352),x92353),x92354)),f334(f334(f174(x92355),x92356),x92354)))+~P107(f334(f334(f249(a919),x92354),f334(f199(f920(x92355)),x92356)))
% 164.74/165.09 [9236]~P35(x92362,x92365,x92361,x92363,x92366)+P107(f334(f334(x92361,f334(f334(f174(x92362),x92363),x92364)),f334(f334(f174(x92365),x92366),x92364)))+~P107(f334(f334(f249(a919),x92364),f334(f199(f920(x92362)),x92363)))
% 164.74/165.09 [9247]~E(f334(f317(x92471,x92472,x92473),x92474),x92476)+E(f334(f317(x92471,x92472,x92473),f334(f317(x92472,x92471,f101(x92471,x92472,x92474,x92473)),x92475)),x92475)+~P107(f334(f334(f248(f926(x92472,a913)),x92475),x92476))
% 164.74/165.09 [9376]~E(f334(f334(f334(a207,x93765),f36(x93761)),f208(x93764,x93761)),f334(f334(f334(a207,x93766),f36(x93761)),f208(x93764,x93761)))+P107(f334(f334(f204(f30(x93761,x93762,x93763)),x93764),f334(f334(f334(a207,x93765),f36(x93761)),f208(x93764,x93761))))+~P107(f334(f334(f204(x93763),f334(f334(f334(a207,x93764),f36(x93761)),f334(x93762,x93764))),x93766))
% 164.74/165.09 [9449]~P17(x94493,x94491,x94496,x94492)+~P107(f334(f70(x94493),x94494))+E(f334(f81(x94491,x94491,x94491,f334(x94492,f334(f334(f23(f926(x94493,a913)),x94494),f334(f334(f316(x94493),x94495),f198(f926(x94493,a913)))))),f334(x94496,x94495)),f334(x94492,f334(f334(f316(x94493),x94495),x94494)))
% 164.74/165.09 [10076]~E(f334(f317(x100762,x100764,x100766),f256(f926(x100762,a913))),f256(f926(x100764,a913)))+~E(f334(f317(x100761,x100763,x100765),f256(f926(x100761,a913))),f256(f926(x100763,a913)))+E(f334(f317(f925(x100761,x100762),f925(x100763,x100764),f271(x100761,x100763,x100762,x100764,x100765,x100766)),f256(f926(f925(x100761,x100762),a913))),f256(f926(f925(x100763,x100764),a913)))
% 164.74/165.09 [10127]~P23(x101273,x101274,x101275,f334(x101276,f698(x101276,x101275,x101274,x101273,x101272,x101271)))+P23(x101273,x101274,x101275,f334(f334(f49(x101272,f926(x101273,a913)),x101271),x101276))+E(x101271,f198(f926(x101272,a913)))
% 164.74/165.09 [10184]P23(x101846,x101845,x101844,f334(f334(f49(x101842,f926(x101846,a913)),x101841),x101843))+E(x101841,f198(f926(x101842,a913)))+P107(f334(f334(f336(x101842),f698(x101843,x101844,x101845,x101846,x101842,x101841)),x101841))
% 164.74/165.09 [10189]P107(f334(f334(f336(x101891),f644(x101892,x101893,x101894,x101895,x101896,x101891)),x101896))+P107(f334(f334(f248(f926(f925(x101891,x101894),a913)),f334(f334(f268(x101891,x101894),x101896),x101893)),f334(f334(f268(x101891,x101894),x101895),x101892)))+~P107(f334(f334(f248(f926(x101891,a913)),x101896),x101895))
% 164.74/165.09 [10226]P22(x102266,x102265,f334(f334(f316(f918(x102266)),f334(f334(f334(f100(x102266),x102261),x102263),x102262)),f198(f926(f918(x102266),a913))))+~P22(x102266,x102265,f334(f334(f316(f918(x102266)),f334(f334(f334(f100(x102266),x102264),x102263),x102262)),f198(f926(f918(x102266),a913))))+P107(f334(f334(x102261,f871(x102261,x102262,x102263,x102264,x102265,x102266)),f880(x102261,x102262,x102263,x102264,x102265,x102266)))
% 164.74/165.09 [10227]P22(x102276,x102275,f334(f334(f316(f918(x102276)),f334(f334(f334(f100(x102276),x102274),x102273),x102272)),f198(f926(f918(x102276),a913))))+~P22(x102276,x102275,f334(f334(f316(f918(x102276)),f334(f334(f334(f100(x102276),x102274),x102273),x102271)),f198(f926(f918(x102276),a913))))+P107(f334(f334(x102271,f894(x102272,x102271,x102273,x102274,x102275,x102276)),f904(x102272,x102271,x102273,x102274,x102275,x102276)))
% 164.74/165.09 [10266]~P22(x102661,x102662,f334(f334(f316(f918(x102661)),f334(f334(f334(f100(x102661),x102663),x102664),x102666)),f198(f926(f918(x102661),a913))))+P22(x102661,x102662,f334(f334(f316(f918(x102661)),f334(f334(f334(f100(x102661),x102663),x102664),x102665)),f198(f926(f918(x102661),a913))))+~P107(f334(f334(x102665,f894(x102665,x102666,x102664,x102663,x102662,x102661)),f904(x102665,x102666,x102664,x102663,x102662,x102661)))
% 164.74/165.09 [10267]~P22(x102671,x102672,f334(f334(f316(f918(x102671)),f334(f334(f334(f100(x102671),x102676),x102674),x102675)),f198(f926(f918(x102671),a913))))+P22(x102671,x102672,f334(f334(f316(f918(x102671)),f334(f334(f334(f100(x102671),x102673),x102674),x102675)),f198(f926(f918(x102671),a913))))+~P107(f334(f334(x102676,f871(x102673,x102675,x102674,x102676,x102672,x102671)),f880(x102673,x102675,x102674,x102676,x102672,x102671)))
% 164.74/165.09 [10306]~P107(f334(f334(f248(f926(x103062,a913)),f334(x103064,f644(x103066,x103064,x103062,x103065,x103063,x103061))),f334(x103066,f644(x103066,x103064,x103062,x103065,x103063,x103061))))+~P107(f334(f334(f248(f926(x103061,a913)),x103063),x103065))+P107(f334(f334(f248(f926(f925(x103061,x103062),a913)),f334(f334(f268(x103061,x103062),x103063),x103064)),f334(f334(f268(x103061,x103062),x103065),x103066)))
% 164.74/165.09 [7891]~P107(f334(x78911,x78915))+~P107(f334(x78916,x78914))+P107(f334(x78911,f334(f269(x78912,x78913),f334(f334(f266(x78912,x78913),x78914),x78915))))
% 164.74/165.09 [7892]~P107(f334(x78921,x78924))+~P107(f334(x78926,x78925))+P107(f334(x78921,f334(f265(x78922,x78923),f334(f334(f266(x78922,x78923),x78924),x78925))))
% 164.74/165.09 [7942]~P107(f334(f334(x79424,x79426),x79425))+~P107(f334(f334(f336(x79421),x79426),x79423))+P107(f334(f334(f334(f48(x79421,f926(x79422,a913)),x79423),x79424),x79425))
% 164.74/165.09 [8252]~P107(f334(f334(f336(x82521),x82522),f334(x82525,x82526)))+~P107(f334(f334(f336(x82523),x82526),x82524))+P107(f334(f334(f336(x82521),x82522),f334(f334(f48(x82523,f926(x82521,a913)),x82524),x82525)))
% 164.74/165.09 [8294]P107(f334(f334(x82941,x82942),x82943))+~P107(f334(f334(x82944,x82942),x82943))+~P107(f334(f334(f248(f926(x82945,f926(x82946,a913))),x82944),x82941))
% 164.74/165.09 [8435]P107(f334(f334(x84351,x84352),x84353))+~P107(f334(f334(f336(x84354),x84352),x84355))+~P107(f334(f334(f334(f49(x84354,f926(x84356,a913)),x84355),x84351),x84353))
% 164.74/165.09 [8574]P107(f334(f334(f336(x85741),x85742),f334(x85743,x85744)))+~P107(f334(f334(f336(x85745),x85744),x85746))+~P107(f334(f334(f336(x85741),x85742),f334(f334(f49(x85745,f926(x85741,a913)),x85746),x85743)))
% 164.74/165.09 [8773]~P107(f334(f334(f334(f334(a206,x87731),x87733),x87734),x87736))+~P107(f334(f334(f334(f334(a206,x87732),x87736),x87734),x87735))+P107(f334(f334(f334(f334(a206,f34(x87731,x87732)),x87733),x87734),x87735))
% 164.74/165.09 [8849]~P10(x88494,x88495,x88496,x88491)+E(f334(x88491,x88492),f334(x88491,x88493))+~P107(f334(f334(f336(f925(x88494,x88494)),f334(f334(f266(x88494,x88494),x88492),x88493)),x88496))
% 164.74/165.09 [8883]P107(f334(f334(f248(f926(x88831,a913)),x88832),f334(x88833,x88834)))+~P107(f334(f334(f336(x88835),x88834),x88836))+~P107(f334(f334(f248(f926(x88831,a913)),x88832),f334(f334(f49(x88835,f926(x88831,a913)),x88836),x88833)))
% 164.74/165.09 [8915]~P54(x89153,x89154,f334(f294(x89154,x89153),x89155))+E(x89151,f198(f926(x89152,a913)))+E(f334(f334(f49(x89152,f926(x89153,a913)),x89151),f334(f334(f8(f926(x89154,a913),f926(x89153,a913),x89152),f293(x89154,x89153,x89155)),x89156)),f334(f293(x89154,x89153,x89155),f334(f334(f49(x89152,f926(x89154,a913)),x89151),x89156)))
% 164.74/165.09 [8993]P107(f334(f334(f336(x89931),x89932),f334(f293(x89933,x89931,x89934),x89935)))+~P107(f334(f334(f336(x89933),x89936),x89935))+~P107(f334(f334(f336(f925(x89933,x89931)),f334(f334(f266(x89933,x89931),x89936),x89932)),x89934))
% 164.74/165.09 [9116]P107(f334(x91161,x91162))+~P107(f334(f334(f334(f334(a206,x91164),x91162),x91165),x91166))+P107(f334(f334(f334(f334(a206,f31(x91161,x91163,x91164)),x91162),x91165),x91166))
% 164.74/165.09 [9133]~P107(f334(x91331,x91334))+~P107(f334(f334(f334(f334(a206,x91332),x91334),x91335),x91336))+P107(f334(f334(f334(f334(a206,f31(x91331,x91332,x91333)),x91334),x91335),x91336))
% 164.74/165.09 [9314]P107(f334(f334(f248(f926(x93141,a913)),f334(f293(x93142,x93141,x93143),x93144)),f334(f293(x93142,x93141,x93145),x93146)))+~P107(f334(f334(f248(f926(x93142,a913)),x93144),x93146))+~P107(f334(f334(f248(f926(f925(x93142,x93141),a913)),x93143),x93145))
% 164.74/165.09 [9399]P107(f334(x93991,x93992))+P107(f334(f334(f334(f334(a206,x93993),x93992),x93994),x93995))+~P107(f334(f334(f334(f334(a206,f31(x93991,x93996,x93993)),x93992),x93994),x93995))
% 164.74/165.09 [9404]~P107(f334(x94045,x94042))+P107(f334(f334(f334(f334(a206,x94041),x94042),x94043),x94044))+~P107(f334(f334(f334(f334(a206,f31(x94045,x94041,x94046)),x94042),x94043),x94044))
% 164.74/165.09 [9457]P107(f334(f334(f334(f334(a206,x94571),x94572),x94573),x94574))+P107(f334(f334(f334(f334(a206,x94575),x94572),x94573),x94574))+~P107(f334(f334(f334(f334(a206,f31(x94576,x94571,x94575)),x94572),x94573),x94574))
% 164.74/165.09 [9503]~P107(f334(f334(f336(x95032),x95036),x95034))+~P107(f334(f334(f248(f926(x95031,a913)),x95033),x95035))+P107(f334(f334(f248(f926(f925(x95031,x95032),a913)),f334(f334(f268(x95031,x95032),x95033),f334(f16(f926(x95032,a913),x95031),x95034))),f334(f334(f268(x95031,x95032),x95035),f334(f16(f926(x95032,a913),x95031),x95034))))
% 164.74/165.09 [9515]~P35(x95151,x95152,x95153,x95155,x95156)+P107(f334(f334(f270(x95151,x95152,a913),x95153),x95154))+~P107(f334(f334(f336(f925(x95151,x95152)),x95154),f334(f182(f925(x95151,x95152)),f334(f334(f191(x95151,x95152),x95155),x95156))))
% 164.74/165.09 [9655]~E(x96553,x96555)+P107(f334(f334(f336(f925(f920(x96551),f920(x96551))),f334(f334(f266(f920(x96551),f920(x96551)),f334(f334(f161(x96551),x96552),x96553)),f334(f334(f161(x96551),x96554),x96555))),f167(x96551,x96556)))+~P107(f334(f334(f336(f925(x96551,x96551)),f334(f334(f266(x96551,x96551),x96552),x96554)),x96556))
% 164.74/165.09 [9661]~E(f334(f199(f920(x96611)),x96613),f334(f199(f920(x96611)),x96615))+P107(f334(f334(f336(f925(f920(x96611),f920(x96611))),f334(f334(f266(f920(x96611),f920(x96611)),f334(f334(f161(x96611),x96612),x96613)),f334(f334(f161(x96611),x96614),x96615))),f155(x96611,x96616)))+~P107(f334(f334(f336(f925(x96611,x96611)),f334(f334(f266(x96611,x96611),x96612),x96614)),x96616))
% 164.74/165.09 [9700]P107(f334(f334(f336(f925(x97001,x97001)),f334(f334(f266(x97001,x97001),x97002),x97003)),f334(f334(f193(f925(x97001,x97001),a913),f334(a125,x97004)),x97005)))+~P107(f334(f334(f336(f925(x97001,x97001)),f334(f334(f266(x97001,x97001),x97006),x97003)),x97005))+~P107(f334(f334(f336(f925(x97001,x97001)),f334(f334(f266(x97001,x97001),x97002),x97006)),f334(f334(f193(f925(x97001,x97001),a913),x97004),x97005)))
% 164.74/165.09 [9701]P107(f334(f334(f336(f925(x97011,x97011)),f334(f334(f266(x97011,x97011),x97012),x97013)),f334(f334(f193(f925(x97011,x97011),a913),f334(a125,x97014)),x97015)))+~P107(f334(f334(f336(f925(x97011,x97011)),f334(f334(f266(x97011,x97011),x97012),x97016)),x97015))+~P107(f334(f334(f336(f925(x97011,x97011)),f334(f334(f266(x97011,x97011),x97016),x97013)),f334(f334(f193(f925(x97011,x97011),a913),x97014),x97015)))
% 164.74/165.09 [9706]~P107(f334(f334(f336(x97064),x97065),x97066))+P107(f334(f334(f248(f926(x97061,a913)),x97062),x97063))+~P107(f334(f334(f248(f926(f925(x97061,x97064),a913)),f334(f334(f268(x97061,x97064),x97062),f334(f16(f926(x97064,a913),x97061),x97066))),f334(f334(f268(x97061,x97064),x97063),f334(f16(f926(x97064,a913),x97061),x97066))))
% 164.74/165.09 [9753]E(x97531,x97532)+~P107(f334(f334(f336(f925(f920(x97533),f920(x97533))),f334(f334(f266(f920(x97533),f920(x97533)),f334(f334(f161(x97533),x97531),x97535)),f334(f334(f161(x97533),x97532),x97536))),f155(x97533,x97534)))+P107(f334(f334(f336(f925(x97533,x97533)),f334(f334(f266(x97533,x97533),x97531),x97532)),x97534))
% 164.74/165.09 [9754]E(x97541,x97542)+~P107(f334(f334(f336(f925(f920(x97543),f920(x97543))),f334(f334(f266(f920(x97543),f920(x97543)),f334(f334(f161(x97543),x97541),x97545)),f334(f334(f161(x97543),x97542),x97546))),f157(x97543,x97544)))+P107(f334(f334(f336(f925(x97543,x97543)),f334(f334(f266(x97543,x97543),x97541),x97542)),x97544))
% 164.74/165.09 [9755]E(x97551,x97552)+~P107(f334(f334(f336(f925(f920(x97553),f920(x97553))),f334(f334(f266(f920(x97553),f920(x97553)),f334(f334(f161(x97553),x97551),x97555)),f334(f334(f161(x97553),x97552),x97556))),f167(x97553,x97554)))+P107(f334(f334(f336(f925(x97553,x97553)),f334(f334(f266(x97553,x97553),x97551),x97552)),x97554))
% 164.74/165.09 [9792]P107(f334(f334(f336(f925(f920(x97921),f920(x97921))),f334(f334(f266(f920(x97921),f920(x97921)),f334(f334(f161(x97921),x97922),x97923)),f334(f334(f161(x97921),x97924),x97925))),f168(x97921,x97926)))+~P107(f334(f334(f336(f925(f920(x97921),f920(x97921))),f334(f334(f266(f920(x97921),f920(x97921)),x97923),x97925)),f168(x97921,x97926)))+~P107(f334(f334(f336(f925(x97921,x97921)),f334(f334(f266(x97921,x97921),x97922),x97924)),x97926))
% 164.74/165.09 [9809]P107(f334(x98091,x98092))+~P107(f334(x98091,f892(x98091,x98093,x98094,x98095,x98096)))+~P107(f334(f334(f336(x98096),x98092),f334(f334(f48(x98095,f926(x98096,a913)),x98094),x98093)))
% 164.74/165.09 [9814]~P107(f334(f334(f336(f925(f920(x98141),f920(x98141))),f334(f334(f266(f920(x98141),f920(x98141)),f334(f334(f161(x98141),x98142),x98145)),f334(f334(f161(x98141),x98143),x98146))),f155(x98141,x98144)))+P107(f334(f334(f336(f925(f920(x98141),f920(x98141))),f334(f334(f266(f920(x98141),f920(x98141)),x98145),x98146)),f155(x98141,x98144)))+P107(f334(f334(f336(f925(x98141,x98141)),f334(f334(f266(x98141,x98141),x98142),x98143)),x98144))
% 164.74/165.09 [9815]~P107(f334(f334(f336(f925(f920(x98151),f920(x98151))),f334(f334(f266(f920(x98151),f920(x98151)),f334(f334(f161(x98151),x98152),x98155)),f334(f334(f161(x98151),x98153),x98156))),f157(x98151,x98154)))+P107(f334(f334(f336(f925(f920(x98151),f920(x98151))),f334(f334(f266(f920(x98151),f920(x98151)),x98155),x98156)),f157(x98151,x98154)))+P107(f334(f334(f336(f925(x98151,x98151)),f334(f334(f266(x98151,x98151),x98152),x98153)),x98154))
% 164.74/165.09 [9816]~P107(f334(f334(f336(f925(f920(x98161),f920(x98161))),f334(f334(f266(f920(x98161),f920(x98161)),f334(f334(f161(x98161),x98162),x98165)),f334(f334(f161(x98161),x98163),x98166))),f167(x98161,x98164)))+P107(f334(f334(f336(f925(f920(x98161),f920(x98161))),f334(f334(f266(f920(x98161),f920(x98161)),x98165),x98166)),f167(x98161,x98164)))+P107(f334(f334(f336(f925(x98161,x98161)),f334(f334(f266(x98161,x98161),x98162),x98163)),x98164))
% 164.74/165.09 [9902]P107(f334(x99021,x99022))+P107(f334(f334(f336(x99023),f893(x99021,x99024,x99025,x99023,x99026)),x99025))+~P107(f334(f334(f336(x99026),x99022),f334(f334(f48(x99023,f926(x99026,a913)),x99025),x99024)))
% 164.74/165.09 [9914]~E(x99142,x99144)+P107(f334(f334(f336(f925(f920(x99141),f920(x99141))),f334(f334(f266(f920(x99141),f920(x99141)),f334(f334(f144(x99141),x99142),f334(f334(f161(x99141),x99143),f126(x99141)))),f334(f334(f144(x99141),x99144),f334(f334(f161(x99141),x99145),f126(x99141))))),f167(x99141,x99146)))+~P107(f334(f334(f336(f925(x99141,x99141)),f334(f334(f266(x99141,x99141),x99143),x99145)),x99146))
% 164.74/165.09 [9994]E(x99941,x99942)+~P107(f334(f334(f336(f925(f920(x99943),f920(x99943))),f334(f334(f266(f920(x99943),f920(x99943)),f334(f334(f144(x99943),x99945),f334(f334(f161(x99943),x99941),f126(x99943)))),f334(f334(f144(x99943),x99946),f334(f334(f161(x99943),x99942),f126(x99943))))),f167(x99943,x99944)))+P107(f334(f334(f336(f925(x99943,x99943)),f334(f334(f266(x99943,x99943),x99941),x99942)),x99944))
% 164.74/165.09 [10023]~P107(f334(f334(f336(f925(f920(x100231),f920(x100231))),f334(f334(f266(f920(x100231),f920(x100231)),f334(f334(f144(x100231),x100235),f334(f334(f161(x100231),x100232),f126(x100231)))),f334(f334(f144(x100231),x100236),f334(f334(f161(x100231),x100233),f126(x100231))))),f167(x100231,x100234)))+P107(f334(f334(f336(f925(f920(x100231),f920(x100231))),f334(f334(f266(f920(x100231),f920(x100231)),x100235),x100236)),f167(x100231,x100234)))+P107(f334(f334(f336(f925(x100231,x100231)),f334(f334(f266(x100231,x100231),x100232),x100233)),x100234))
% 164.74/165.09 [10042]P107(f334(x100421,x100422))+P107(f334(f334(f336(x100423),f892(x100421,x100424,x100425,x100426,x100423)),f334(x100424,f893(x100421,x100424,x100425,x100426,x100423))))+~P107(f334(f334(f336(x100423),x100422),f334(f334(f48(x100426,f926(x100423,a913)),x100425),x100424)))
% 164.74/165.09 [9013]~P14(x90133,x90134,x90131)+~P107(f334(f70(x90133),x90136))+E(f334(f334(x90131,x90132),f334(f334(f73(x90133,x90134,x90131),x90135),f334(f334(f23(f926(x90133,a913)),x90136),f334(f334(f316(x90133),x90132),f198(f926(x90133,a913)))))),f334(f334(f73(x90133,x90134,x90131),x90135),f334(f334(f316(x90133),x90132),x90136)))
% 164.74/165.09 [9321]~P107(f334(f334(f336(x93215),x93213),x93216))+P107(f334(f334(f248(f926(x93211,a913)),f334(x93212,x93213)),x93214))+~P107(f334(f334(f248(f926(x93211,a913)),f334(f334(f48(x93215,f926(x93211,a913)),x93216),x93212)),x93214))
% 164.74/165.09 [9968]~P6(x99681,x99685,x99684)+P107(f334(f334(f336(f925(x99681,x99681)),f334(f334(f266(x99681,x99681),x99682),x99683)),x99684))+~P107(f334(f334(f336(x99681),x99686),f334(f334(f114(f926(x99681,a913)),f334(f293(x99681,x99681,x99684),f334(f334(f316(x99681),x99682),f198(f926(x99681,a913))))),f334(f293(x99681,x99681,x99684),f334(f334(f316(x99681),x99683),f198(f926(x99681,a913)))))))
% 164.74/165.09 [8736]~P113(x87362)+~E(f334(f334(f89(x87362),f334(f334(f90(x87362),x87364),x87365)),x87361),f334(f334(f89(x87362),f334(f334(f90(x87362),x87363),x87365)),x87366))+E(x87361,f334(f334(f89(x87362),f334(f334(f90(x87362),f334(f334(f23(x87362),x87363),x87364)),x87365)),x87366))
% 164.74/165.09 [8737]~P113(x87371)+~E(f334(f334(f89(x87371),f334(f334(f90(x87371),x87372),x87374)),x87375),f334(f334(f89(x87371),f334(f334(f90(x87371),x87373),x87374)),x87376))+E(f334(f334(f89(x87371),f334(f334(f90(x87371),f334(f334(f23(x87371),x87372),x87373)),x87374)),x87375),x87376)
% 164.74/165.09 [8918]~P113(x89181)+E(f334(f334(f89(x89181),f334(f334(f90(x89181),x89182),x89183)),x89184),f334(f334(f89(x89181),f334(f334(f90(x89181),x89185),x89183)),x89186))+~E(x89186,f334(f334(f89(x89181),f334(f334(f90(x89181),f334(f334(f23(x89181),x89182),x89185)),x89183)),x89184))
% 164.74/165.09 [8919]~P113(x89191)+E(f334(f334(f89(x89191),f334(f334(f90(x89191),x89192),x89193)),x89194),f334(f334(f89(x89191),f334(f334(f90(x89191),x89195),x89193)),x89196))+~E(f334(f334(f89(x89191),f334(f334(f90(x89191),f334(f334(f23(x89191),x89192),x89195)),x89193)),x89194),x89196)
% 164.74/165.09 [9259]~P107(f334(f334(x92594,x92595),x92596))+~P107(f334(f334(x92593,x92595),x92596))+P107(f334(f334(f334(f334(f114(f926(x92591,f926(x92592,a913))),x92593),x92594),x92595),x92596))
% 164.74/165.09 [9524]P107(f334(f334(x95241,x95242),x95243))+P107(f334(f334(x95244,x95242),x95243))+~P107(f334(f334(f334(f334(f123(f926(x95245,f926(x95246,a913))),x95244),x95241),x95242),x95243))
% 164.74/165.09 [9829]~P128(x98291)+~P107(f334(f334(f248(x98291),f334(f334(f89(x98291),f334(f334(f90(x98291),x98294),x98295)),x98292)),f334(f334(f89(x98291),f334(f334(f90(x98291),x98293),x98295)),x98296)))+P107(f334(f334(f248(x98291),x98292),f334(f334(f89(x98291),f334(f334(f90(x98291),f334(f334(f23(x98291),x98293),x98294)),x98295)),x98296)))
% 164.74/165.09 [9830]~P128(x98301)+~P107(f334(f334(f249(x98301),f334(f334(f89(x98301),f334(f334(f90(x98301),x98304),x98305)),x98302)),f334(f334(f89(x98301),f334(f334(f90(x98301),x98303),x98305)),x98306)))+P107(f334(f334(f249(x98301),x98302),f334(f334(f89(x98301),f334(f334(f90(x98301),f334(f334(f23(x98301),x98303),x98304)),x98305)),x98306)))
% 164.74/165.09 [9853]~P128(x98531)+P107(f334(f334(f248(x98531),f334(f334(f89(x98531),f334(f334(f90(x98531),x98532),x98533)),x98534)),f334(f334(f89(x98531),f334(f334(f90(x98531),x98535),x98533)),x98536)))+~P107(f334(f334(f248(x98531),x98534),f334(f334(f89(x98531),f334(f334(f90(x98531),f334(f334(f23(x98531),x98535),x98532)),x98533)),x98536)))
% 164.74/165.09 [9854]~P128(x98541)+P107(f334(f334(f249(x98541),f334(f334(f89(x98541),f334(f334(f90(x98541),x98542),x98543)),x98544)),f334(f334(f89(x98541),f334(f334(f90(x98541),x98545),x98543)),x98546)))+~P107(f334(f334(f249(x98541),x98544),f334(f334(f89(x98541),f334(f334(f90(x98541),f334(f334(f23(x98541),x98545),x98542)),x98543)),x98546)))
% 164.74/165.09 [9960]~P128(x99601)+~P107(f334(f334(f248(x99601),f334(f334(f89(x99601),f334(f334(f90(x99601),x99602),x99604)),x99605)),f334(f334(f89(x99601),f334(f334(f90(x99601),x99603),x99604)),x99606)))+P107(f334(f334(f248(x99601),f334(f334(f89(x99601),f334(f334(f90(x99601),f334(f334(f23(x99601),x99602),x99603)),x99604)),x99605)),x99606))
% 164.74/165.09 [9961]~P128(x99611)+~P107(f334(f334(f249(x99611),f334(f334(f89(x99611),f334(f334(f90(x99611),x99612),x99614)),x99615)),f334(f334(f89(x99611),f334(f334(f90(x99611),x99613),x99614)),x99616)))+P107(f334(f334(f249(x99611),f334(f334(f89(x99611),f334(f334(f90(x99611),f334(f334(f23(x99611),x99612),x99613)),x99614)),x99615)),x99616))
% 164.74/165.09 [10006]~P128(x100061)+P107(f334(f334(f248(x100061),f334(f334(f89(x100061),f334(f334(f90(x100061),x100062),x100063)),x100064)),f334(f334(f89(x100061),f334(f334(f90(x100061),x100065),x100063)),x100066)))+~P107(f334(f334(f248(x100061),f334(f334(f89(x100061),f334(f334(f90(x100061),f334(f334(f23(x100061),x100062),x100065)),x100063)),x100064)),x100066))
% 164.74/165.09 [10007]~P128(x100071)+P107(f334(f334(f249(x100071),f334(f334(f89(x100071),f334(f334(f90(x100071),x100072),x100073)),x100074)),f334(f334(f89(x100071),f334(f334(f90(x100071),x100075),x100073)),x100076)))+~P107(f334(f334(f249(x100071),f334(f334(f89(x100071),f334(f334(f90(x100071),f334(f334(f23(x100071),x100072),x100075)),x100073)),x100074)),x100076))
% 164.74/165.09 [10178]~P72(x101782)+~P107(f334(f70(x101781),x101786))+E(f334(f334(f6(x101781,x101782),f334(f334(f18(x101781,x101782,x101782),f334(f334(f18(x101781,x101782,f926(x101782,x101782)),f334(f334(f8(a913,f926(x101782,f926(x101782,x101782)),x101781),f109(x101782)),x101783)),x101784)),x101785)),x101786),f334(f334(f89(x101782),f334(f334(f6(x101781,x101782),x101784),f334(f334(f114(f926(x101781,a913)),x101786),f334(f254(x101781),x101783)))),f334(f334(f6(x101781,x101782),x101785),f334(f334(f114(f926(x101781,a913)),x101786),f334(f88(f926(x101781,a913)),f334(f254(x101781),x101783))))))
% 164.74/165.09 [10236]P107(f334(f334(f336(x102362),x102364),x102366))+P107(f334(f334(f336(x102362),x102365),x102366))+E(f334(f318(x102361,x102362,f334(f334(f7(x102361,x102362,x102362),f334(f334(f7(x102361,x102362,f926(x102362,x102362)),f334(f334(f8(a913,f926(x102362,f926(x102362,x102362)),x102361),f109(x102362)),f334(f334(f7(x102361,f926(x102361,a913),a913),f336(x102361)),x102363))),x102364)),x102365)),x102366),f198(f926(x102361,a913)))
% 164.74/165.09 [10237]P107(f334(f334(f336(x102372),x102375),x102376))+~P107(f334(f334(f336(x102372),x102374),x102376))+E(f334(f318(x102371,x102372,f334(f334(f7(x102371,x102372,x102372),f334(f334(f7(x102371,x102372,f926(x102372,x102372)),f334(f334(f8(a913,f926(x102372,f926(x102372,x102372)),x102371),f109(x102372)),f334(f334(f7(x102371,f926(x102371,a913),a913),f336(x102371)),x102373))),x102374)),x102375)),x102376),x102373)
% 164.74/165.09 [10238]P107(f334(f334(f336(x102382),x102384),x102386))+~P107(f334(f334(f336(x102382),x102385),x102386))+E(f334(f318(x102381,x102382,f334(f334(f7(x102381,x102382,x102382),f334(f334(f7(x102381,x102382,f926(x102382,x102382)),f334(f334(f8(a913,f926(x102382,f926(x102382,x102382)),x102381),f109(x102382)),f334(f334(f7(x102381,f926(x102381,a913),a913),f336(x102381)),x102383))),x102384)),x102385)),x102386),f334(f88(f926(x102381,a913)),x102383))
% 164.74/165.09 [10239]~P107(f334(f334(f336(x102392),x102394),x102396))+~P107(f334(f334(f336(x102392),x102395),x102396))+E(f334(f318(x102391,x102392,f334(f334(f7(x102391,x102392,x102392),f334(f334(f7(x102391,x102392,f926(x102392,x102392)),f334(f334(f8(a913,f926(x102392,f926(x102392,x102392)),x102391),f109(x102392)),f334(f334(f7(x102391,f926(x102391,a913),a913),f336(x102391)),x102393))),x102394)),x102395)),x102396),f256(f926(x102391,a913)))
% 164.74/165.09 [8769]E(x87691,x87692)+~P56(x87694,x87695,x87693,x87696,x87697)+~E(f334(x87693,x87691),f334(x87693,x87692))
% 164.74/165.09 [8800]~P8(x88006,x88005,x88007,x88004,x88001)+E(f334(f334(x88001,x88002),x88003),x88004)+P107(f334(f70(x88005),x88003))
% 164.74/165.09 [9686]P44(x96861,x96862,x96863,x96864,x96865,f334(f334(x96863,x96866),x96867))+~E(f334(f334(x96863,x96866),x96867),x96864)+~E(x96865,f198(f926(x96861,a913)))
% 164.74/165.09 [9874]~P107(f334(x98746,x98743))+~P107(f334(f334(f336(f925(x98742,x98742)),f334(f334(f266(x98742,x98742),x98744),x98745)),f334(x98747,x98743)))+P107(f334(f334(f336(f925(f925(x98741,x98742),f925(x98741,x98742))),f334(f334(f266(f925(x98741,x98742),f925(x98741,x98742)),f334(f334(f266(x98741,x98742),x98743),x98744)),f334(f334(f266(x98741,x98742),x98743),x98745))),f288(x98741,x98742,x98746,x98747)))
% 164.74/165.09 [10297]~P44(x102972,x102977,x102973,x102976,x102971,f334(f334(x102973,x102975),x102974))+E(f334(f334(x102973,f829(x102974,x102975,x102971,x102976,x102973,x102977,x102972)),f842(x102974,x102975,x102971,x102976,x102973,x102977,x102972)),f334(f334(x102973,x102975),x102974))+E(x102971,f198(f926(x102972,a913)))
% 164.74/165.09 [10298]~P44(x102987,x102986,x102981,x102984,x102985,f334(f334(x102981,x102982),x102983))+E(f334(f334(x102981,f829(x102983,x102982,x102985,x102984,x102981,x102986,x102987)),f842(x102983,x102982,x102985,x102984,x102981,x102986,x102987)),f334(f334(x102981,x102982),x102983))+E(f334(f334(x102981,x102982),x102983),x102984)
% 164.74/165.09 [9355]~P35(x93551,x93552,x93553,x93555,x93557)+P35(x93551,x93552,x93553,f334(f334(f161(x93551),x93554),x93555),f334(f334(f161(x93552),x93556),x93557))+~P107(f334(f334(x93553,x93554),x93556))
% 164.74/165.09 [9371]P35(x93711,x93712,x93713,x93714,x93715)+~P35(x93711,x93712,x93713,f334(f334(f144(x93711),x93716),x93714),f334(f334(f144(x93712),x93717),x93715))+~E(f334(f199(f920(x93711)),x93716),f334(f199(f920(x93712)),x93717))
% 164.74/165.09 [9372]P35(x93721,x93722,x93723,x93724,x93725)+~P35(x93721,x93722,x93723,f334(f334(f144(x93721),x93724),x93726),f334(f334(f144(x93722),x93725),x93727))+~E(f334(f199(f920(x93721)),x93724),f334(f199(f920(x93722)),x93725))
% 164.74/165.09 [9590]~P35(x95901,x95902,x95903,x95905,x95907)+~P35(x95901,x95902,x95903,x95904,x95906)+P35(x95901,x95902,x95903,f334(f334(f144(x95901),x95904),x95905),f334(f334(f144(x95902),x95906),x95907))
% 164.74/165.09 [9949]~P107(f334(f75(x99491,x99494,x99495,x99496,x99493),x99497))+P107(f334(f75(x99491,x99494,x99495,x99496,f334(f334(f316(x99491),x99492),x99493)),f334(f334(x99495,x99492),x99497)))+P107(f334(f334(f336(x99491),x99492),x99493))
% 164.74/165.09 [10321]~P44(x103212,x103217,x103216,x103215,x103211,f334(f334(x103216,x103214),x103213))+E(x103211,f198(f926(x103212,a913)))+P107(f334(f334(f336(x103212),f829(x103213,x103214,x103211,x103215,x103216,x103217,x103212)),x103211))
% 164.74/165.09 [10322]~P44(x103225,x103227,x103221,x103224,x103226,f334(f334(x103221,x103222),x103223))+E(f334(f334(x103221,x103222),x103223),x103224)+P107(f334(f334(f336(x103225),f829(x103223,x103222,x103226,x103224,x103221,x103227,x103225)),x103226))
% 164.74/165.09 [9038]~P19(x90384,x90385,x90386,x90387,x90381)+~P107(f334(f70(x90385),x90383))+E(f334(f334(x90381,x90382),x90383),f334(f334(f334(f74(x90384,x90385,x90386),x90382),x90387),x90383))
% 164.74/165.09 [9039]~P8(x90394,x90395,x90396,x90397,x90391)+~P107(f334(f70(x90395),x90393))+E(f334(f334(x90391,x90392),x90393),f334(f334(f334(f74(x90394,x90395,x90396),x90392),x90397),x90393))
% 164.74/165.09 [9648]~P22(x96481,x96482,f334(f334(f316(f918(x96481)),f334(f334(f334(f100(x96481),x96483),x96484),x96487)),f198(f926(f918(x96481),a913))))+P22(x96481,x96482,f334(f334(f316(f918(x96481)),f334(f334(f334(f100(x96481),x96483),f34(x96484,x96485)),x96486)),f198(f926(f918(x96481),a913))))+~P22(x96481,x96482,f334(f334(f316(f918(x96481)),f334(f334(f334(f100(x96481),x96487),x96485),x96486)),f198(f926(f918(x96481),a913))))
% 164.74/165.09 [9848]~P21(x98483,x98484,x98485,x98487,x98486,x98481)+~P107(f334(f70(x98484),x98482))+E(f334(x98481,x98482),f334(f334(f334(f74(x98483,x98484,x98485),x98486),x98487),x98482))
% 164.74/165.09 [10001]P44(x100011,x100012,x100013,x100014,x100015,f334(f334(x100013,x100016),x100017))+~P44(x100011,x100012,x100013,x100014,f334(f334(f23(f926(x100011,a913)),x100015),f334(f334(f316(x100011),x100016),f198(f926(x100011,a913)))),x100017)+~P107(f334(f334(f336(x100011),x100016),x100015))
% 164.74/165.09 [10268]~P22(x102681,x102682,f334(f334(f316(f918(x102681)),f334(f334(f334(f100(x102681),f105(x102681,x102683,x102684)),x102685),x102687)),f198(f926(f918(x102681),a913))))+P22(x102681,x102682,f334(f334(f316(f918(x102681)),f334(f334(f334(f100(x102681),x102683),f31(x102684,x102685,x102686)),x102687)),f198(f926(f918(x102681),a913))))+~P22(x102681,x102682,f334(f334(f316(f918(x102681)),f334(f334(f334(f100(x102681),f105(x102681,x102683,f334(f81(a913,a913,a914,a329),x102684))),x102686),x102687)),f198(f926(f918(x102681),a913))))
% 164.74/165.09 [10346]P107(f334(f334(x103467,f847(x103464,x103465,x103461,x103466,x103463,x103462,x103467)),f848(x103464,x103465,x103461,x103466,x103463,x103462,x103467)))+~P107(f334(f334(x103467,f334(f269(x103462,x103463),x103466)),f334(f265(x103462,x103463),x103466)))+P107(f334(x103461,f334(f334(f270(x103462,x103463,x103464),x103465),x103466)))
% 164.74/165.09 [10347]P22(x103477,x103476,f334(f334(f316(f918(x103477)),f334(f334(f334(f100(x103477),x103471),x103474),x103472)),f198(f926(f918(x103477),a913))))+~P22(x103477,x103476,f334(f334(f316(f918(x103477)),f334(f334(f334(f100(x103477),x103475),x103474),x103473)),f198(f926(f918(x103477),a913))))+P107(f334(f334(x103471,f388(x103472,x103471,x103473,x103474,x103475,x103476,x103477)),f395(x103472,x103471,x103473,x103474,x103475,x103476,x103477)))
% 164.74/165.09 [10357]~P44(x103572,x103573,x103574,x103575,x103571,f334(f334(x103574,x103577),x103576))+P44(x103572,x103573,x103574,x103575,f334(f334(f23(f926(x103572,a913)),x103571),f334(f334(f316(x103572),f829(x103576,x103577,x103571,x103575,x103574,x103573,x103572)),f198(f926(x103572,a913)))),f842(x103576,x103577,x103571,x103575,x103574,x103573,x103572))+E(x103571,f198(f926(x103572,a913)))
% 164.74/165.09 [10358]~P44(x103585,x103586,x103581,x103584,x103587,f334(f334(x103581,x103582),x103583))+P44(x103585,x103586,x103581,x103584,f334(f334(f23(f926(x103585,a913)),x103587),f334(f334(f316(x103585),f829(x103583,x103582,x103587,x103584,x103581,x103586,x103585)),f198(f926(x103585,a913)))),f842(x103583,x103582,x103587,x103584,x103581,x103586,x103585))+E(f334(f334(x103581,x103582),x103583),x103584)
% 164.74/165.09 [10359]~P22(x103591,x103592,f334(f334(f316(f918(x103591)),f334(f334(f334(f100(x103591),x103597),x103594),x103596)),f198(f926(f918(x103591),a913))))+P22(x103591,x103592,f334(f334(f316(f918(x103591)),f334(f334(f334(f100(x103591),x103593),x103594),x103595)),f198(f926(f918(x103591),a913))))+~P107(f334(f334(x103595,f388(x103595,x103593,x103596,x103594,x103597,x103592,x103591)),f409(x103595,x103593,x103596,x103594,x103597,x103592,x103591)))
% 164.74/165.09 [10380]~P107(f334(x103801,f334(f334(x103805,f848(x103804,x103805,x103801,x103806,x103803,x103802,x103807)),f847(x103804,x103805,x103801,x103806,x103803,x103802,x103807))))+~P107(f334(f334(x103807,f334(f269(x103802,x103803),x103806)),f334(f265(x103802,x103803),x103806)))+P107(f334(x103801,f334(f334(f270(x103802,x103803,x103804),x103805),x103806)))
% 164.74/165.09 [10381]~P22(x103811,x103812,f334(f334(f316(f918(x103811)),f334(f334(f334(f100(x103811),x103814),x103815),x103817)),f198(f926(f918(x103811),a913))))+~P22(x103811,x103812,f334(f334(f316(f918(x103811)),f334(f334(f334(f100(x103811),x103813),x103815),x103816)),f198(f926(f918(x103811),a913))))+P22(x103811,x103812,f334(f334(f316(f918(x103811)),f334(f334(f334(f100(x103811),f334(f334(f18(x103811,f926(a914,a913),f926(a914,a913)),f334(f334(f8(f926(a914,f926(a913,a913)),f926(f926(a914,a913),f926(a914,a913)),x103811),f18(a914,a913,a913)),f334(f334(f8(f926(a914,a913),f926(a914,f926(a913,a913)),x103811),f334(f8(a913,f926(a913,a913),a914),a332)),x103813))),x103814)),x103815),f334(f334(f18(x103811,f926(a914,a913),f926(a914,a913)),f334(f334(f8(f926(a914,f926(a913,a913)),f926(f926(a914,a913),f926(a914,a913)),x103811),f18(a914,a913,a913)),f334(f334(f8(f926(a914,a913),f926(a914,f926(a913,a913)),x103811),f334(f8(a913,f926(a913,a913),a914),a332)),x103816))),x103817))),f198(f926(f918(x103811),a913))))
% 164.74/165.09 [9669]P107(f334(f334(f248(f926(f925(x96691,x96692),a913)),f334(f334(f296(x96691,x96693,x96692),x96694),x96695)),f334(f334(f296(x96691,x96693,x96692),x96696),x96697)))+~P107(f334(f334(f248(f926(f925(x96693,x96692),a913)),x96695),x96697))+~P107(f334(f334(f248(f926(f925(x96691,x96693),a913)),x96694),x96696))
% 164.74/165.09 [9712]~E(f334(f334(f334(a207,x97126),f36(x97121)),f208(x97124,x97121)),f334(f334(f334(a207,x97127),f36(x97121)),f208(x97124,x97121)))+P107(f334(f334(f334(f334(a206,f30(x97121,x97122,x97123)),x97124),x97125),f334(f334(f334(a207,x97126),f36(x97121)),f208(x97124,x97121))))+~P107(f334(f334(f334(f334(a206,x97123),f334(f334(f334(a207,x97124),f36(x97121)),f334(x97122,x97124))),x97125),x97127))
% 164.74/165.09 [10012]~P107(f334(f334(f336(x100121),x100126),x100125))+P107(f334(f75(x100121,x100122,x100123,x100124,x100125),f334(f334(x100123,x100126),x100127)))+~P107(f334(f75(x100121,x100122,x100123,x100124,f334(f334(f23(f926(x100121,a913)),x100125),f334(f334(f316(x100121),x100126),f198(f926(x100121,a913))))),x100127))
% 164.74/165.09 [10419]~P139(x104191)+~P23(f925(x104192,x104193),x104191,f334(f270(x104192,x104193,x104191),f334(f334(f7(x104192,f926(x104193,x104191),f926(x104193,x104191)),f334(f334(f8(f926(x104191,x104191),f926(f926(x104193,x104191),f926(x104193,x104191)),x104192),f8(x104191,x104191,x104193)),f334(f334(f8(x104191,f926(x104191,x104191),x104192),f90(x104191)),x104194))),x104195)),f334(f334(f268(x104192,x104193),x104196),f334(f16(f926(x104193,a913),x104192),x104197)))+E(f334(f334(f6(x104191,x104191),f25(x104191)),f334(f254(x104191),f334(f334(f8(f926(x104192,a913),a913,x104191),f96(x104192)),f334(f334(f8(f926(x104192,f926(x104193,a913)),f926(x104192,a913),x104191),f334(f8(f926(x104193,a913),a913,x104192),f96(x104193))),f334(f334(f7(x104191,f926(x104192,f926(x104193,a913)),f926(x104192,f926(x104193,a913))),f334(f334(f8(f926(x104192,f926(f926(x104193,a913),f926(x104193,a913))),f926(f926(x104192,f926(x104193,a913)),f926(x104192,f926(x104193,a913))),x104191),f18(x104192,f926(x104193,a913),f926(x104193,a913))),f334(f334(f8(f926(x104192,f926(x104193,f926(a913,a913))),f926(x104192,f926(f926(x104193,a913),f926(x104193,a913))),x104191),f334(f8(f926(x104193,f926(a913,a913)),f926(f926(x104193,a913),f926(x104193,a913)),x104192),f18(x104193,a913,a913))),f334(f334(f8(f926(x104192,f926(x104193,a913)),f926(x104192,f926(x104193,f926(a913,a913))),x104191),f334(f8(f926(x104193,a913),f926(x104193,f926(a913,a913)),x104192),f334(f8(a913,f926(a913,a913),x104193),a333))),f334(f334(f7(x104191,f926(x104192,f926(x104193,x104191)),f926(x104192,f926(x104193,a913))),f334(f334(f8(f926(f926(x104193,x104191),f926(x104193,a913)),f926(f926(x104192,f926(x104193,x104191)),f926(x104192,f926(x104193,a913))),x104191),f8(f926(x104193,x104191),f926(x104193,a913),x104192)),f334(f334(f8(f926(x104191,a913),f926(f926(x104193,x104191),f926(x104193,a913)),x104191),f8(x104191,a913,x104193)),a331))),f334(f334(f7(x104192,f926(x104193,x104191),f926(x104193,x104191)),f334(f334(f8(f926(x104191,x104191),f926(f926(x104193,x104191),f926(x104193,x104191)),x104192),f8(x104191,x104191,x104193)),f334(f334(f8(x104191,f926(x104191,x104191),x104192),f90(x104191)),x104194))),x104195)))))),f334(f334(f7(x104192,f926(x104193,a913),f926(x104193,a913)),f334(f334(f8(f926(a913,a913),f926(f926(x104193,a913),f926(x104193,a913)),x104192),f8(a913,a913,x104193)),f334(f334(f8(a913,f926(a913,a913),x104192),a333),f334(f334(f7(x104192,f926(x104192,a913),a913),f336(x104192)),x104196)))),f334(f334(f7(x104193,f926(x104193,a913),a913),f336(x104193)),x104197))))))),f334(f334(f90(x104191),f334(f334(f6(x104192,x104191),x104194),x104196)),f334(f334(f6(x104193,x104191),x104195),x104197)))
% 164.74/165.09 [9673]~P24(x96731,x96733,x96735,x96736,x96738)+~P24(x96733,x96732,x96734,x96738,x96737)+P24(x96731,x96732,f334(f81(x96733,x96732,x96731,x96734),x96735),x96736,x96737)
% 164.74/165.09 [9711]P24(x97111,x97112,x97113,x97114,x97115)+~P24(x97116,x97111,x97117,x97118,x97114)+~P24(x97116,x97112,f334(f81(x97111,x97112,x97116,x97113),x97117),x97118,x97115)
% 164.74/165.09 [9846]~P107(f334(f334(x98464,x98466),x98468))+~P107(f334(f334(x98465,x98468),x98467))+P107(f334(f334(f267(x98461,x98462,x98463,x98464,x98465),x98466),x98467))
% 164.74/165.09 [9427]~P17(x94278,x94271,x94273,x94275)+~P107(f334(f70(x94278),x94276))+E(f334(f81(x94271,x94271,x94272,f334(x94273,x94274)),f334(f81(x94271,x94271,x94272,f334(x94275,x94276)),x94277)),f334(f81(x94271,x94271,x94272,f334(x94275,x94276)),f334(f81(x94271,x94271,x94272,f334(x94273,x94274)),x94277)))
% 164.74/165.09 [9836]~P20(x98367,x98362,x98365,x98368,x98366,x98361)+~P107(f334(f70(x98362),x98364))+E(f334(x98361,f334(f334(f316(x98362),x98363),x98364)),f334(f334(x98365,f334(x98366,x98363)),f334(x98361,x98364)))
% 164.74/165.09 [9958]~P23(x99582,x99584,x99586,x99588)+~P23(x99581,x99583,x99585,x99587)+P23(f925(x99581,x99582),f925(x99583,x99584),f271(x99581,x99583,x99582,x99584,x99585,x99586),f334(f334(f268(x99581,x99582),x99587),f334(f16(f926(x99582,a913),x99581),x99588)))
% 164.74/165.09 [9616]P107(f334(f334(f336(f925(x96161,x96162)),f334(f334(f266(x96161,x96162),x96163),x96164)),f334(f334(f296(x96161,x96165,x96162),x96166),x96167)))+~P107(f334(f334(f336(f925(x96161,x96165)),f334(f334(f266(x96161,x96165),x96163),x96168)),x96166))+~P107(f334(f334(f336(f925(x96165,x96162)),f334(f334(f266(x96165,x96162),x96168),x96164)),x96167))
% 164.74/165.09 [9817]~P107(f334(f334(f248(f926(f925(x98173,x98172),a913)),x98175),f334(f334(f268(x98173,x98172),x98178),f334(f16(f926(x98172,a913),x98173),x98177))))+~P107(f334(f334(f248(f926(f925(x98171,x98173),a913)),x98174),f334(f334(f268(x98171,x98173),x98176),f334(f16(f926(x98173,a913),x98171),x98178))))+P107(f334(f334(f248(f926(f925(x98171,x98172),a913)),f334(f334(f296(x98171,x98173,x98172),x98174),x98175)),f334(f334(f268(x98171,x98172),x98176),f334(f16(f926(x98172,a913),x98171),x98177))))
% 164.74/165.09 [9869]~E(x98693,x98695)+P107(f334(f334(f336(f925(f925(x98691,x98692),f925(x98691,x98692))),f334(f334(f266(f925(x98691,x98692),f925(x98691,x98692)),f334(f334(f266(x98691,x98692),x98693),x98694)),f334(f334(f266(x98691,x98692),x98695),x98696))),f327(x98691,x98692,x98697,x98698)))+~P107(f334(f334(f336(f925(x98692,x98692)),f334(f334(f266(x98692,x98692),x98694),x98696)),x98698))
% 164.74/165.09 [9977]E(x99771,x99772)+~P107(f334(f334(f336(f925(f925(x99773,x99775),f925(x99773,x99775))),f334(f334(f266(f925(x99773,x99775),f925(x99773,x99775)),f334(f334(f266(x99773,x99775),x99771),x99776)),f334(f334(f266(x99773,x99775),x99772),x99777))),f327(x99773,x99775,x99774,x99778)))+P107(f334(f334(f336(f925(x99773,x99773)),f334(f334(f266(x99773,x99773),x99771),x99772)),x99774))
% 164.74/165.09 [9993]~P107(f334(f334(f336(f925(f925(x99931,x99935),f925(x99931,x99935))),f334(f334(f266(f925(x99931,x99935),f925(x99931,x99935)),f334(f334(f266(x99931,x99935),x99932),x99936)),f334(f334(f266(x99931,x99935),x99933),x99937))),f327(x99931,x99935,x99934,x99938)))+P107(f334(f334(f336(f925(x99931,x99931)),f334(f334(f266(x99931,x99931),x99932),x99933)),x99934))+P107(f334(f334(f336(f925(x99935,x99935)),f334(f334(f266(x99935,x99935),x99936),x99937)),x99938))
% 164.74/165.09 [9903]~P21(x99037,x99035,x99031,x99038,x99032,x99034)+~P107(f334(f70(x99035),x99036))+E(f334(f334(x99031,f334(x99032,x99033)),f334(x99034,f334(f334(f23(f926(x99035,a913)),x99036),f334(f334(f316(x99035),x99033),f198(f926(x99035,a913)))))),f334(x99034,f334(f334(f316(x99035),x99033),x99036)))
% 164.74/165.09 [9378]~P107(f334(f334(f334(x93785,x93788),x93786),x93787))+~P107(f334(f334(f336(x93781),x93788),x93784))+P107(f334(f334(f334(f334(f48(x93781,f926(x93782,f926(x93783,a913))),x93784),x93785),x93786),x93787))
% 164.74/165.09 [9601]P107(f334(f334(f334(x96011,x96012),x96013),x96014))+~P107(f334(f334(f336(x96015),x96012),x96016))+~P107(f334(f334(f334(f334(f49(x96015,f926(x96017,f926(x96018,a913))),x96016),x96011),x96013),x96014))
% 164.74/165.09 [9810]~P19(x98103,x98102,x98104,x98108,x98101)+~P107(f334(f70(x98102),x98107))+E(f334(f334(x98101,f334(f334(f18(x98102,x98103,x98103),f334(f334(f8(x98103,f926(x98103,x98103),x98102),x98104),x98105)),x98106)),x98107),f334(f334(x98104,f334(f334(x98101,x98105),x98107)),f334(f334(x98101,x98106),x98107)))
% 164.74/165.09 [10082]~E(f334(f317(x100822,x100824,x100826),x100828),x1008210)+~E(f334(f317(x100821,x100823,x100825),x100827),x100829)+E(f334(f317(f925(x100821,x100822),f925(x100823,x100824),f271(x100821,x100823,x100822,x100824,x100825,x100826)),f334(f334(f268(x100821,x100822),x100827),f334(f16(f926(x100822,a913),x100821),x100828))),f334(f334(f268(x100823,x100824),x100829),f334(f16(f926(x100824,a913),x100823),x1008210)))
% 164.74/165.09 [8230]~P30(a5000)+~P9(a5000)+~P107(f334(a27,x82301))+P22(a914,f198(f926(f918(a914),a913)),f334(f334(f316(f918(a914)),f334(f334(f334(f100(a914),a331),x82301),f204(x82301))),f198(f926(f918(a914),a913))))
% 164.74/165.09 [5000]~P110(x50002)+~P12(x50002,x50001)+P12(x50002,f127(x50002,x50001))+E(x50001,f126(x50002))
% 164.74/165.09 [5001]~P110(x50012)+~P12(x50012,x50011)+P12(x50012,f767(x50011,x50012))+E(x50011,f126(x50012))
% 164.74/165.09 [5233]~P3(x52332)+E(f10(x52332,x52331),f46(x52332,x52331))+E(x52331,f198(f926(x52332,a913)))+~P107(f334(f70(x52332),x52331))
% 164.74/165.09 [5234]~P3(x52342)+E(f11(x52342,x52341),f47(x52342,x52341))+E(x52341,f198(f926(x52342,a913)))+~P107(f334(f70(x52342),x52341))
% 164.74/165.09 [5395]~P110(x53952)+~P12(x53952,x53951)+E(x53951,f126(x53952))+E(f334(f334(f161(x53952),f787(x53951,x53952)),f767(x53951,x53952)),x53951)
% 164.74/165.09 [6184]~P83(x61842)+E(x61841,f198(f926(x61842,a913)))+P107(f334(f334(f248(x61842),f11(x61842,x61841)),f10(x61842,x61841)))+~P107(f334(f70(x61842),x61841))
% 164.74/165.09 [6196]~P40(x61962)+~P40(x61961)+E(x61961,x61962)+~E(f334(f317(a1,a919,a117),x61961),f334(f317(a1,a919,a117),x61962))
% 164.74/165.09 [9237]~P122(x92371)+~P107(f334(f334(f336(x92371),x92372),f122(x92371)))+P107(f334(f334(f249(x92371),f334(f334(f89(x92371),f334(f334(f89(x92371),f87(x92371)),x92372)),x92372)),f2(x92371)))+~P107(f334(f334(f249(x92371),x92372),f2(x92371)))
% 164.74/165.09 [9484]~P122(x94841)+~P107(f334(f334(f336(x94841),x94842),f122(x94841)))+~P107(f334(f334(f249(x94841),f334(f334(f89(x94841),f334(f334(f89(x94841),f87(x94841)),x94842)),x94842)),f2(x94841)))+P107(f334(f334(f249(x94841),x94842),f2(x94841)))
% 164.74/165.09 [5056]~P139(x50562)+~P118(x50562)+E(x50561,f2(a919))+E(f334(f334(f258(x50562),f2(x50562)),x50561),f2(x50562))
% 164.74/165.09 [5059]~P139(x50591)+~P118(x50591)+~E(x50592,f2(a919))+E(f334(f334(f258(x50591),f2(x50591)),x50592),f87(x50591))
% 164.74/165.09 [5219]~P141(x52192)+E(x52191,f87(x52192))+E(x52191,f334(f88(x52192),f87(x52192)))+~E(f334(f334(f90(x52192),x52191),x52191),f87(x52192))
% 164.74/165.09 [5475]~P93(x54752)+E(x54751,f2(x54752))+E(f91(x54752,x54751),f334(f88(x54752),f87(x54752)))+P107(f334(f334(f249(x54752),f2(x54752)),x54751))
% 164.74/165.09 [5702]~P93(x57022)+E(f91(x57022,x57021),f87(x57022))+E(x57021,f2(x57022))+~P107(f334(f334(f249(x57022),f2(x57022)),x57021))
% 164.74/165.09 [5711]E(x57111,x57112)+~E(f334(f116(a919),x57111),f334(f116(a919),x57112))+P107(f334(a203,f334(f116(a1),x57112)))+P107(f334(a203,f334(f116(a1),x57111)))
% 164.74/165.09 [5761]~P96(x57611)+~E(x57612,f2(x57611))+E(f334(f334(f89(x57611),x57612),x57612),f2(x57611))+~P107(f334(f334(f336(x57611),x57612),f122(x57611)))
% 164.74/165.09 [5798]E(x57981,f2(a1))+~E(f334(f334(f45(a1),x57982),x57981),f2(a1))+P107(f334(f334(f249(a1),x57981),x57982))+P107(f334(f334(f249(a1),x57982),x57981))
% 164.74/165.09 [5828]E(x58281,f2(a1))+~E(f334(f334(f45(a1),x58282),x58281),f2(a1))+P107(f334(f334(f248(a1),x58282),f2(a1)))+P107(f334(f334(f249(a1),x58282),x58281))
% 164.74/165.09 [5862]E(x58621,f2(a1))+~E(f334(f334(f45(a1),x58622),x58621),f2(a1))+P107(f334(f334(f248(a1),f2(a1)),x58622))+P107(f334(f334(f249(a1),x58621),x58622))
% 164.74/165.09 [5898]~P96(x58982)+E(x58981,f2(x58982))+~E(f334(f334(f89(x58982),x58981),x58981),f2(x58982))+~P107(f334(f334(f336(x58982),x58981),f122(x58982)))
% 164.74/165.09 [5959]E(f334(f116(a919),x59591),f334(f116(a919),x59592))+~E(f334(f116(a1),x59592),f2(a1))+P107(f334(a203,f334(f116(a1),x59592)))+~P107(f334(a203,f334(f116(a1),x59591)))
% 164.74/165.09 [5987]~E(f334(f116(a919),x59872),f334(f116(a919),x59871))+E(f334(f116(a1),x59871),f2(a1))+P107(f334(a203,f334(f116(a1),x59871)))+~P107(f334(a203,f334(f116(a1),x59872)))
% 164.74/165.09 [5996]~P110(x59962)+E(x59961,f198(f926(x59962,a913)))+~P107(f334(f70(x59962),x59961))+P107(f334(f334(f336(x59962),f14(x59962,x59961)),x59961))
% 164.74/165.09 [5997]~P110(x59972)+E(x59971,f198(f926(x59972,a913)))+~P107(f334(f70(x59972),x59971))+P107(f334(f334(f336(x59972),f15(x59972,x59971)),x59971))
% 164.74/165.09 [6162]~P122(x61621)+~P97(x61621)+P107(f334(f334(f248(x61621),f2(x61621)),f334(f116(x61621),x61622)))+~P107(f334(f334(f248(a1),a92),x61622))
% 164.74/165.09 [6163]~P122(x61631)+~P97(x61631)+P107(f334(f334(f249(x61631),f2(x61631)),f334(f116(x61631),x61632)))+~P107(f334(f334(f249(a1),a92),x61632))
% 164.74/165.09 [6183]~P122(x61831)+~P97(x61831)+E(f334(f84(x61831),f334(f116(x61831),x61832)),f334(f116(x61831),x61832))+P107(f334(f334(f249(x61831),f334(f116(x61831),x61832)),f2(x61831)))
% 164.74/165.09 [6220]E(x62201,x62202)+~E(f334(a117,x62201),f334(a117,x62202))+~P107(f334(f334(f248(a1),f2(a1)),x62202))+~P107(f334(f334(f248(a1),f2(a1)),x62201))
% 164.74/165.09 [6417]~P97(x64172)+~P122(x64172)+~P107(f334(f334(f248(x64172),f2(x64172)),f334(f116(x64172),x64171)))+P107(f334(f334(f248(a1),a92),x64171))
% 164.74/165.09 [6418]~P97(x64182)+~P122(x64182)+~P107(f334(f334(f249(x64182),f2(x64182)),f334(f116(x64182),x64181)))+P107(f334(f334(f249(a1),a92),x64181))
% 164.74/165.09 [6423]~P122(x64231)+~P97(x64231)+P107(f334(f334(f248(x64231),f334(f116(x64231),x64232)),f2(x64231)))+~P107(f334(f334(f248(a1),x64232),a92))
% 164.74/165.09 [6424]~P122(x64241)+~P97(x64241)+P107(f334(f334(f249(x64241),f334(f116(x64241),x64242)),f2(x64241)))+~P107(f334(f334(f249(a1),x64242),a92))
% 164.74/165.09 [6736]~P97(x67362)+~P122(x67362)+~P107(f334(f334(f248(x67362),f334(f116(x67362),x67361)),f2(x67362)))+P107(f334(f334(f248(a1),x67361),a92))
% 164.74/165.09 [6737]~P97(x67372)+~P122(x67372)+~P107(f334(f334(f249(x67372),f334(f116(x67372),x67371)),f2(x67372)))+P107(f334(f334(f249(a1),x67371),a92))
% 164.74/165.09 [6827]~P122(x68271)+~P97(x68271)+E(f334(f84(x68271),f334(f116(x68271),x68272)),f334(f88(x68271),f334(f116(x68271),x68272)))+~P107(f334(f334(f249(x68271),f334(f116(x68271),x68272)),f2(x68271)))
% 164.74/165.09 [6845]E(f334(f116(a919),x68451),f334(f116(a919),x68452))+~E(f334(f116(a1),x68452),f2(a1))+~P107(f334(f334(f248(a1),f334(f116(a1),x68451)),f2(a1)))+~P107(f334(a203,f334(f116(a1),x68451)))
% 164.74/165.09 [7712]~P110(x77122)+E(x77121,f198(f926(x77122,a913)))+~P107(f334(f70(x77122),x77121))+P107(f334(f334(f248(x77122),f12(x77122,f246(x77122),x77121)),f13(x77122,f247(x77122),x77121)))
% 164.74/165.09 [8030]~P40(x80302)+~P4(x80301)+P107(f334(f334(f336(a1),x80301),x80302))+~P107(f334(f334(f336(a919),f334(a117,x80301)),f334(f317(a1,a919,a117),x80302)))
% 164.74/165.09 [5993]~P142(x59932)+E(x59931,f2(a1))+E(f334(f88(x59932),f334(f115(x59932),f334(f88(a1),x59931))),f334(f115(x59932),x59931))+~P107(f334(f334(f249(a1),x59931),f2(a1)))
% 164.74/165.09 [6065]~P96(x60651)+~P97(x60651)+~P27(x60651,f334(f116(x60651),x60652))+P27(x60651,f334(f116(x60651),f334(f334(f89(a1),x60652),x60652)))
% 164.74/165.09 [6405]~P78(x64052)+E(x64051,f198(f926(x64052,a913)))+E(f15(x64052,f334(f317(x64052,x64052,f88(x64052)),x64051)),f334(f88(x64052),f14(x64052,x64051)))+~P107(f334(f70(x64052),x64051))
% 164.74/165.09 [6406]~P78(x64062)+E(x64061,f198(f926(x64062,a913)))+E(f14(x64062,f334(f317(x64062,x64062,f88(x64062)),x64061)),f334(f88(x64062),f15(x64062,x64061)))+~P107(f334(f70(x64062),x64061))
% 164.74/165.09 [6438]~P96(x64381)+~P97(x64381)+P27(x64381,f334(f116(x64381),x64382))+~P27(x64381,f334(f116(x64381),f334(f334(f89(a1),x64382),x64382)))
% 164.74/165.09 [6526]E(x65261,f2(a1))+E(f334(a60,f59(f334(f88(a1),x65261),f334(f88(a1),x65262))),f55(x65261,x65262))+P107(f334(f334(f248(a1),f2(a1)),x65262))+~P107(f334(f334(f248(a1),f2(a1)),x65261))
% 164.74/165.09 [8827]~P40(x88272)+~P40(x88271)+P107(f334(f334(f249(f926(a919,a913)),f334(f317(a1,a919,a117),x88271)),f334(f317(a1,a919,a117),x88272)))+~P107(f334(f334(f249(f926(a1,a913)),x88271),x88272))
% 164.74/165.09 [9058]~E(f790(x90582,x90581),f791(x90582,x90581))+~P107(f334(f147(x90581),f792(x90582,x90581)))+~P107(f334(f147(f920(x90581)),x90582))+P107(f334(f147(x90581),f334(f152(f920(x90581),f920(x90581),f144(x90581),f126(x90581)),x90582)))
% 164.74/165.09 [9155]~P40(x91552)+~P40(x91551)+~P107(f334(f334(f248(f926(a919,a913)),f334(f317(a1,a919,a117),x91551)),f334(f317(a1,a919,a117),x91552)))+P107(f334(f334(f248(f926(a1,a913)),x91551),x91552))
% 164.74/165.09 [9156]~P40(x91562)+~P40(x91561)+~P107(f334(f334(f249(f926(a919,a913)),f334(f317(a1,a919,a117),x91561)),f334(f317(a1,a919,a117),x91562)))+P107(f334(f334(f249(f926(a1,a913)),x91561),x91562))
% 164.74/165.09 [9162]~E(f790(x91622,x91621),f791(x91622,x91621))+~P107(f334(f147(f920(x91621)),x91622))+P107(f334(f147(x91621),f334(f152(f920(x91621),f920(x91621),f144(x91621),f126(x91621)),x91622)))+P107(f334(f334(f336(f920(x91621)),f792(x91622,x91621)),f334(f182(f920(x91621)),x91622)))
% 164.74/165.09 [9205]~P107(f334(f147(x92051),f792(x92052,x92051)))+~P107(f334(f147(f920(x92051)),x92052))+P107(f334(f147(x92051),f334(f152(f920(x92051),f920(x92051),f144(x92051),f126(x92051)),x92052)))+P107(f334(f334(f336(f920(x92051)),f791(x92052,x92051)),f334(f182(f920(x92051)),x92052)))
% 164.74/165.09 [9206]~P107(f334(f147(x92061),f792(x92062,x92061)))+~P107(f334(f147(f920(x92061)),x92062))+P107(f334(f147(x92061),f334(f152(f920(x92061),f920(x92061),f144(x92061),f126(x92061)),x92062)))+P107(f334(f334(f336(f920(x92061)),f790(x92062,x92061)),f334(f182(f920(x92061)),x92062)))
% 164.74/165.09 [9285]~P107(f334(f147(f920(x92851)),x92852))+P107(f334(f147(x92851),f334(f152(f920(x92851),f920(x92851),f144(x92851),f126(x92851)),x92852)))+P107(f334(f334(f336(f920(x92851)),f791(x92852,x92851)),f334(f182(f920(x92851)),x92852)))+P107(f334(f334(f336(f920(x92851)),f792(x92852,x92851)),f334(f182(f920(x92851)),x92852)))
% 164.74/165.09 [9286]~P107(f334(f147(f920(x92861)),x92862))+P107(f334(f147(x92861),f334(f152(f920(x92861),f920(x92861),f144(x92861),f126(x92861)),x92862)))+P107(f334(f334(f336(f920(x92861)),f790(x92862,x92861)),f334(f182(f920(x92861)),x92862)))+P107(f334(f334(f336(f920(x92861)),f792(x92862,x92861)),f334(f182(f920(x92861)),x92862)))
% 164.74/165.09 [9301]~E(f334(f334(f114(f926(x93011,a913)),f334(f182(x93011),f791(x93012,x93011))),f334(f182(x93011),f790(x93012,x93011))),f198(f926(x93011,a913)))+~P107(f334(f147(x93011),f792(x93012,x93011)))+~P107(f334(f147(f920(x93011)),x93012))+P107(f334(f147(x93011),f334(f152(f920(x93011),f920(x93011),f144(x93011),f126(x93011)),x93012)))
% 164.74/165.09 [9359]~E(f334(f334(f114(f926(x93591,a913)),f334(f182(x93591),f791(x93592,x93591))),f334(f182(x93591),f790(x93592,x93591))),f198(f926(x93591,a913)))+~P107(f334(f147(f920(x93591)),x93592))+P107(f334(f147(x93591),f334(f152(f920(x93591),f920(x93591),f144(x93591),f126(x93591)),x93592)))+P107(f334(f334(f336(f920(x93591)),f792(x93592,x93591)),f334(f182(f920(x93591)),x93592)))
% 164.74/165.09 [9641]E(x96411,f2(a1))+E(x96412,f2(a1))+E(f334(f334(f95(a1,f925(a1,a1)),f334(f334(a231,x96412),x96411)),f334(f334(f18(a1,a1,f925(a1,a1)),f334(f334(f8(a1,f926(a1,f925(a1,a1)),a1),f266(a1,a1)),f334(f45(a1),x96412))),f334(f45(a1),x96411))),f229(x96412,x96411))+P107(f334(f334(f249(a1),x96411),f2(a1)))
% 164.74/165.09 [8361]~P97(x83612)+~P122(x83612)+~P107(f334(f334(f248(x83612),f334(f116(x83612),x83611)),f87(x83612)))+P107(f334(f334(f248(a1),x83611),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))
% 164.74/165.09 [8362]~P97(x83622)+~P122(x83622)+~P107(f334(f334(f249(x83622),f334(f116(x83622),x83621)),f87(x83622)))+P107(f334(f334(f249(a1),x83621),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))
% 164.74/165.09 [8642]~P122(x86421)+~P97(x86421)+P107(f334(f334(f248(x86421),f334(f116(x86421),x86422)),f87(x86421)))+~P107(f334(f334(f248(a1),x86422),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))
% 164.74/165.09 [8643]~P122(x86431)+~P97(x86431)+P107(f334(f334(f249(x86431),f334(f116(x86431),x86432)),f87(x86431)))+~P107(f334(f334(f249(a1),x86432),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))
% 164.74/165.09 [8855]~P97(x88552)+~P122(x88552)+~P107(f334(f334(f248(x88552),f87(x88552)),f334(f116(x88552),x88551)))+P107(f334(f334(f248(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),x88551))
% 164.74/165.09 [8856]~P97(x88562)+~P122(x88562)+~P107(f334(f334(f249(x88562),f87(x88562)),f334(f116(x88562),x88561)))+P107(f334(f334(f249(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),x88561))
% 164.74/165.09 [9243]~P122(x92431)+~P97(x92431)+P107(f334(f334(f248(x92431),f87(x92431)),f334(f116(x92431),x92432)))+~P107(f334(f334(f248(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),x92432))
% 164.74/165.09 [9244]~P122(x92441)+~P97(x92441)+P107(f334(f334(f249(x92441),f87(x92441)),f334(f116(x92441),x92442)))+~P107(f334(f334(f249(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),x92442))
% 164.74/165.09 [9783]~P141(x97832)+E(x97831,f87(x97832))+E(x97831,f334(f88(x97832),f87(x97832)))+~E(f334(f334(f258(x97832),x97831),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f87(x97832))
% 164.74/165.09 [10054]~P97(x100541)+~P67(x100541)+~P107(f334(f334(f249(x100541),f2(x100541)),x100542))+P107(f334(f334(f249(x100541),f2(x100541)),f334(f334(f297(x100541),x100542),f334(f116(x100541),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))))
% 164.74/165.09 [10115]~P97(x101151)+~P67(x101151)+P107(f334(f334(f249(x101151),f2(x101151)),x101152))+~P107(f334(f334(f249(x101151),f2(x101151)),f334(f334(f297(x101151),x101152),f334(f116(x101151),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))))
% 164.74/165.09 [10388]~P142(x103882)+E(x103881,f2(a1))+P107(f334(f334(f249(a1),x103881),f2(a1)))+E(f334(f334(f270(a1,a1,x103882),f334(f334(f7(a1,f926(a1,f926(x103882,x103882)),f926(a1,x103882)),f334(f334(f8(f926(f926(x103882,x103882),x103882),f926(f926(a1,f926(x103882,x103882)),f926(a1,x103882)),a1),f8(f926(x103882,x103882),x103882,a1)),f334(f334(f8(x103882,f926(f926(x103882,x103882),x103882),a1),f95(x103882,x103882)),f115(x103882)))),f334(f334(f7(a1,f926(x103882,x103882),f926(x103882,x103882)),f334(f334(f8(f926(x103882,f926(x103882,x103882)),f926(f926(x103882,x103882),f926(x103882,x103882)),a1),f18(x103882,x103882,x103882)),f334(f334(f7(a1,f926(x103882,x103882),f926(x103882,f926(x103882,x103882))),f334(f334(f8(f926(x103882,f926(x103882,x103882)),f926(f926(x103882,x103882),f926(x103882,f926(x103882,x103882))),a1),f8(x103882,f926(x103882,x103882),x103882)),f334(f334(f8(a913,f926(x103882,f926(x103882,x103882)),a1),f109(x103882)),f334(f334(f7(a1,a1,a913),a331),f2(a1))))),f334(f334(f18(x103882,x103882,x103882),f89(x103882)),f5(x103882))))),f334(f334(f7(x103882,x103882,x103882),f334(f334(f8(x103882,f926(x103882,x103882),x103882),f89(x103882)),f334(f334(f18(x103882,x103882,x103882),f89(x103882)),f5(x103882)))),f87(x103882))))),f55(x103881,f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f115(x103882),x103881))
% 164.74/165.09 [5027]~P96(x50273)+~P97(x50273)+E(x50271,x50272)+~E(f334(f116(x50273),x50271),f334(f116(x50273),x50272))
% 164.74/165.09 [6172]~P107(f334(x61721,x61722))+~P107(f334(x61721,x61723))+~P107(f334(f334(f248(a919),x61723),f593(x61722,x61721)))+P107(f334(x61721,f2(a919)))
% 164.74/165.09 [6592]P148(x65922,x65923,x65921)+E(x65921,f2(a1))+P107(f334(f334(f248(a1),f2(a1)),f856(x65921,x65923,x65922)))+P107(f334(f334(f249(a1),x65921),f2(a1)))
% 164.74/165.09 [6593]P147(x65932,x65933,x65931)+E(x65931,f2(a1))+P107(f334(f334(f248(a1),f2(a1)),f862(x65931,x65933,x65932)))+P107(f334(f334(f249(a1),x65931),f2(a1)))
% 164.74/165.09 [6715]P147(x67151,x67152,x67153)+~P107(f334(x67151,x67152))+P107(f334(f334(f248(a1),f2(a1)),f862(x67153,x67152,x67151)))+P107(f334(f334(f249(a1),x67153),f2(a1)))
% 164.74/165.09 [6742]P148(x67421,x67422,x67423)+P107(f334(f334(f248(a1),f2(a1)),f856(x67423,x67422,x67421)))+~P107(f334(x67421,f2(a1)))+P107(f334(f334(f249(a1),x67423),f2(a1)))
% 164.74/165.09 [6770]P148(x67702,x67703,x67701)+E(x67701,f2(a1))+~P107(f334(x67702,f857(x67701,x67703,x67702)))+P107(f334(f334(f249(a1),x67701),f2(a1)))
% 164.74/165.09 [6771]P147(x67712,x67713,x67711)+E(x67711,f2(a1))+~P107(f334(x67712,f862(x67711,x67713,x67712)))+P107(f334(f334(f249(a1),x67711),f2(a1)))
% 164.74/165.09 [6869]~P110(x68691)+~P3(x68691)+~P107(f334(f334(f249(x68691),x68692),f46(x68691,x68693)))+P107(f334(f334(f249(x68691),x68692),f370(x68693,x68692,x68691)))
% 164.74/165.09 [6878]P147(x68781,x68782,x68783)+~P107(f334(x68781,x68782))+~P107(f334(x68781,f862(x68783,x68782,x68781)))+P107(f334(f334(f249(a1),x68783),f2(a1)))
% 164.74/165.09 [6908]P148(x69081,x69082,x69083)+~P107(f334(x69081,f857(x69083,x69082,x69081)))+~P107(f334(x69081,f2(a1)))+P107(f334(f334(f249(a1),x69083),f2(a1)))
% 164.74/165.09 [7156]P148(x71562,x71563,x71561)+E(x71561,f2(a1))+P107(f334(f334(f248(a1),f2(a1)),f856(x71561,x71563,x71562)))+P107(f334(f334(f249(a1),x71561),f855(x71561,x71563,x71562)))
% 164.74/165.09 [7157]P147(x71572,x71573,x71571)+E(x71571,f2(a1))+P107(f334(f334(f248(a1),f2(a1)),f862(x71571,x71573,x71572)))+P107(f334(f334(f249(a1),x71571),f861(x71571,x71573,x71572)))
% 164.74/165.09 [7275]P147(x72751,x72752,x72753)+~P107(f334(x72751,x72752))+P107(f334(f334(f248(a1),f2(a1)),f862(x72753,x72752,x72751)))+P107(f334(f334(f249(a1),x72753),f861(x72753,x72752,x72751)))
% 164.74/165.09 [7294]P148(x72941,x72942,x72943)+P107(f334(f334(f248(a1),f2(a1)),f856(x72943,x72942,x72941)))+P107(f334(f334(f249(a1),x72943),f855(x72943,x72942,x72941)))+~P107(f334(x72941,f2(a1)))
% 164.74/165.09 [7328]P148(x73282,x73283,x73281)+E(x73281,f2(a1))+~P107(f334(x73282,f857(x73281,x73283,x73282)))+P107(f334(f334(f249(a1),x73281),f855(x73281,x73283,x73282)))
% 164.74/165.09 [7329]P147(x73292,x73293,x73291)+E(x73291,f2(a1))+~P107(f334(x73292,f862(x73291,x73293,x73292)))+P107(f334(f334(f249(a1),x73291),f861(x73291,x73293,x73292)))
% 164.74/165.09 [7371]P148(x73712,x73713,x73711)+E(x73711,f2(a1))+P107(f334(f334(f248(a1),f2(a1)),f856(x73711,x73713,x73712)))+~P107(f334(x73712,f859(x73711,x73713,x73712)))
% 164.74/165.09 [7372]P147(x73722,x73723,x73721)+E(x73721,f2(a1))+P107(f334(f334(f248(a1),f2(a1)),f862(x73721,x73723,x73722)))+~P107(f334(x73722,f861(x73721,x73723,x73722)))
% 164.74/165.09 [7464]P147(x74641,x74642,x74643)+~P107(f334(x74641,x74642))+~P107(f334(x74641,f862(x74643,x74642,x74641)))+P107(f334(f334(f249(a1),x74643),f861(x74643,x74642,x74641)))
% 164.74/165.09 [7479]P148(x74791,x74792,x74793)+~P107(f334(x74791,f857(x74793,x74792,x74791)))+P107(f334(f334(f249(a1),x74793),f855(x74793,x74792,x74791)))+~P107(f334(x74791,f2(a1)))
% 164.74/165.09 [7482]P147(x74821,x74822,x74823)+~P107(f334(x74821,x74822))+P107(f334(f334(f248(a1),f2(a1)),f862(x74823,x74822,x74821)))+~P107(f334(x74821,f861(x74823,x74822,x74821)))
% 164.74/165.09 [7500]P148(x75001,x75002,x75003)+P107(f334(f334(f248(a1),f2(a1)),f856(x75003,x75002,x75001)))+~P107(f334(x75001,f859(x75003,x75002,x75001)))+~P107(f334(x75001,f2(a1)))
% 164.74/165.09 [7522]P148(x75222,x75223,x75221)+E(x75221,f2(a1))+~P107(f334(x75222,f857(x75221,x75223,x75222)))+~P107(f334(x75222,f859(x75221,x75223,x75222)))
% 164.74/165.09 [7523]P147(x75232,x75233,x75231)+E(x75231,f2(a1))+~P107(f334(x75232,f862(x75231,x75233,x75232)))+~P107(f334(x75232,f861(x75231,x75233,x75232)))
% 164.74/165.09 [7610]P147(x76101,x76102,x76103)+~P107(f334(x76101,x76102))+~P107(f334(x76101,f862(x76103,x76102,x76101)))+~P107(f334(x76101,f861(x76103,x76102,x76101)))
% 164.74/165.09 [7627]P148(x76271,x76272,x76273)+~P107(f334(x76271,f857(x76273,x76272,x76271)))+~P107(f334(x76271,f859(x76273,x76272,x76271)))+~P107(f334(x76271,f2(a1)))
% 164.74/165.09 [7671]P148(x76712,x76713,x76711)+E(x76711,f2(a1))+P107(f334(f334(f248(a1),f2(a1)),f856(x76711,x76713,x76712)))+P107(f334(f334(f248(a1),f855(x76711,x76713,x76712)),f2(a1)))
% 164.74/165.09 [7672]P147(x76722,x76723,x76721)+E(x76721,f2(a1))+P107(f334(f334(f248(a1),f2(a1)),f862(x76721,x76723,x76722)))+P107(f334(f334(f248(a1),f861(x76721,x76723,x76722)),f2(a1)))
% 164.74/165.09 [7673]~P142(x76731)+~P107(f334(f334(f336(x76731),x76733),f122(x76731)))+~P107(f334(f334(f336(x76731),x76732),f122(x76731)))+P107(f334(f334(f336(x76731),f334(f334(f23(x76731),x76732),x76733)),f122(x76731)))
% 164.74/165.09 [7674]~P142(x76741)+~P107(f334(f334(f336(x76741),x76743),f122(x76741)))+~P107(f334(f334(f336(x76741),x76742),f122(x76741)))+P107(f334(f334(f336(x76741),f334(f334(f90(x76741),x76742),x76743)),f122(x76741)))
% 164.74/165.09 [7675]~P146(x76751)+~P107(f334(f334(f336(x76751),x76753),f196(x76751)))+~P107(f334(f334(f336(x76751),x76752),f196(x76751)))+P107(f334(f334(f336(x76751),f334(f334(f90(x76751),x76752),x76753)),f196(x76751)))
% 164.74/165.09 [7676]~P142(x76761)+~P107(f334(f334(f336(x76761),x76763),f122(x76761)))+~P107(f334(f334(f336(x76761),x76762),f122(x76761)))+P107(f334(f334(f336(x76761),f334(f334(f89(x76761),x76762),x76763)),f122(x76761)))
% 164.74/165.09 [7677]~P146(x76771)+~P107(f334(f334(f336(x76771),x76773),f196(x76771)))+~P107(f334(f334(f336(x76771),x76772),f196(x76771)))+P107(f334(f334(f336(x76771),f334(f334(f89(x76771),x76772),x76773)),f196(x76771)))
% 164.74/165.09 [7678]~P92(x76781)+~P107(f334(f334(f248(x76781),x76783),f2(x76781)))+~P107(f334(f334(f248(x76781),x76782),f2(x76781)))+P107(f334(f334(f248(x76781),f334(f334(f89(x76781),x76782),x76783)),f2(x76781)))
% 164.74/165.09 [7679]~P92(x76791)+~P107(f334(f334(f248(x76791),x76793),f2(x76791)))+~P107(f334(f334(f249(x76791),x76792),f2(x76791)))+P107(f334(f334(f249(x76791),f334(f334(f89(x76791),x76792),x76793)),f2(x76791)))
% 164.74/165.09 [7680]~P92(x76801)+~P107(f334(f334(f248(x76801),x76802),f2(x76801)))+~P107(f334(f334(f249(x76801),x76803),f2(x76801)))+P107(f334(f334(f249(x76801),f334(f334(f89(x76801),x76802),x76803)),f2(x76801)))
% 164.74/165.09 [7681]~P92(x76811)+~P107(f334(f334(f249(x76811),x76813),f2(x76811)))+~P107(f334(f334(f249(x76811),x76812),f2(x76811)))+P107(f334(f334(f249(x76811),f334(f334(f89(x76811),x76812),x76813)),f2(x76811)))
% 164.74/165.09 [7708]P148(x77083,x77082,x77081)+E(x77081,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x77081),f857(x77081,x77082,x77083))),f856(x77081,x77082,x77083)),x77082)+P107(f334(f334(f249(a1),x77081),f2(a1)))
% 164.74/165.09 [7709]P147(x77093,x77092,x77091)+E(x77091,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x77091),f863(x77091,x77092,x77093))),f862(x77091,x77092,x77093)),x77092)+P107(f334(f334(f249(a1),x77091),f2(a1)))
% 164.74/165.09 [7790]P147(x77901,x77902,x77903)+~P107(f334(x77901,x77902))+P107(f334(f334(f248(a1),f2(a1)),f862(x77903,x77902,x77901)))+P107(f334(f334(f248(a1),f861(x77903,x77902,x77901)),f2(a1)))
% 164.74/165.09 [7819]P148(x78191,x78192,x78193)+P107(f334(f334(f248(a1),f2(a1)),f856(x78193,x78192,x78191)))+~P107(f334(x78191,f2(a1)))+P107(f334(f334(f248(a1),f855(x78193,x78192,x78191)),f2(a1)))
% 164.74/165.09 [7830]P147(x78303,x78302,x78301)+~P107(f334(x78303,x78302))+E(f334(f334(f89(a1),f334(f334(f90(a1),x78301),f863(x78301,x78302,x78303))),f862(x78301,x78302,x78303)),x78302)+P107(f334(f334(f249(a1),x78301),f2(a1)))
% 164.74/165.09 [7836]P148(x78362,x78363,x78361)+E(x78361,f2(a1))+~P107(f334(x78362,f857(x78361,x78363,x78362)))+P107(f334(f334(f248(a1),f855(x78361,x78363,x78362)),f2(a1)))
% 164.74/165.09 [7837]P147(x78372,x78373,x78371)+E(x78371,f2(a1))+~P107(f334(x78372,f862(x78371,x78373,x78372)))+P107(f334(f334(f248(a1),f861(x78371,x78373,x78372)),f2(a1)))
% 164.74/165.09 [7842]P148(x78423,x78422,x78421)+E(f334(f334(f89(a1),f334(f334(f90(a1),x78421),f857(x78421,x78422,x78423))),f856(x78421,x78422,x78423)),x78422)+~P107(f334(x78423,f2(a1)))+P107(f334(f334(f249(a1),x78421),f2(a1)))
% 164.74/165.09 [7898]P147(x78981,x78982,x78983)+~P107(f334(x78981,x78982))+~P107(f334(x78981,f862(x78983,x78982,x78981)))+P107(f334(f334(f248(a1),f861(x78983,x78982,x78981)),f2(a1)))
% 164.74/165.09 [7902]P148(x79021,x79022,x79023)+~P107(f334(x79021,f857(x79023,x79022,x79021)))+~P107(f334(x79021,f2(a1)))+P107(f334(f334(f248(a1),f855(x79023,x79022,x79021)),f2(a1)))
% 164.74/165.09 [7972]~P127(x79721)+~P107(f334(f334(f248(x79721),f334(f334(f90(x79721),x79723),x79722)),f2(x79721)))+P107(f334(f334(f248(x79721),x79722),f2(x79721)))+P107(f334(f334(f248(x79721),x79723),f2(x79721)))
% 164.74/165.09 [7973]~P67(x79731)+~P107(f334(f334(f248(x79731),f334(f334(f297(x79731),x79733),x79732)),f2(x79731)))+P107(f334(f334(f248(x79731),x79732),f2(x79731)))+P107(f334(f334(f248(x79731),x79733),f2(x79731)))
% 164.74/165.09 [7974]~P67(x79741)+~P107(f334(f334(f249(x79741),f334(f334(f297(x79741),x79743),x79742)),f2(x79741)))+P107(f334(f334(f249(x79741),x79742),f2(x79741)))+P107(f334(f334(f249(x79741),x79743),f2(x79741)))
% 164.74/165.09 [8087]P148(x80873,x80872,x80871)+E(x80871,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x80871),f857(x80871,x80872,x80873))),f856(x80871,x80872,x80873)),x80872)+P107(f334(f334(f249(a1),x80871),f855(x80871,x80872,x80873)))
% 164.74/165.09 [8088]P147(x80883,x80882,x80881)+E(x80881,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x80881),f863(x80881,x80882,x80883))),f862(x80881,x80882,x80883)),x80882)+P107(f334(f334(f249(a1),x80881),f861(x80881,x80882,x80883)))
% 164.74/165.09 [8100]P148(x81003,x81002,x81001)+E(x81001,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x81001),f859(x81001,x81002,x81003))),f855(x81001,x81002,x81003)),x81002)+P107(f334(f334(f248(a1),f2(a1)),f856(x81001,x81002,x81003)))
% 164.74/165.09 [8101]P147(x81013,x81012,x81011)+E(x81011,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x81011),f864(x81011,x81012,x81013))),f861(x81011,x81012,x81013)),x81012)+P107(f334(f334(f248(a1),f2(a1)),f862(x81011,x81012,x81013)))
% 164.74/165.09 [8145]P147(x81453,x81452,x81451)+~P107(f334(x81453,x81452))+E(f334(f334(f89(a1),f334(f334(f90(a1),x81451),f863(x81451,x81452,x81453))),f862(x81451,x81452,x81453)),x81452)+P107(f334(f334(f249(a1),x81451),f861(x81451,x81452,x81453)))
% 164.74/165.09 [8157]P148(x81573,x81572,x81571)+E(f334(f334(f89(a1),f334(f334(f90(a1),x81571),f857(x81571,x81572,x81573))),f856(x81571,x81572,x81573)),x81572)+P107(f334(f334(f249(a1),x81571),f855(x81571,x81572,x81573)))+~P107(f334(x81573,f2(a1)))
% 164.74/165.09 [8163]P147(x81633,x81632,x81631)+~P107(f334(x81633,x81632))+E(f334(f334(f89(a1),f334(f334(f90(a1),x81631),f864(x81631,x81632,x81633))),f861(x81631,x81632,x81633)),x81632)+P107(f334(f334(f248(a1),f2(a1)),f862(x81631,x81632,x81633)))
% 164.74/165.09 [8169]P148(x81693,x81692,x81691)+E(f334(f334(f89(a1),f334(f334(f90(a1),x81691),f859(x81691,x81692,x81693))),f855(x81691,x81692,x81693)),x81692)+P107(f334(f334(f248(a1),f2(a1)),f856(x81691,x81692,x81693)))+~P107(f334(x81693,f2(a1)))
% 164.74/165.09 [8180]P148(x81803,x81802,x81801)+E(x81801,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x81801),f857(x81801,x81802,x81803))),f856(x81801,x81802,x81803)),x81802)+~P107(f334(x81803,f859(x81801,x81802,x81803)))
% 164.74/165.09 [8181]P147(x81813,x81812,x81811)+E(x81811,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x81811),f863(x81811,x81812,x81813))),f862(x81811,x81812,x81813)),x81812)+~P107(f334(x81813,f861(x81811,x81812,x81813)))
% 164.74/165.09 [8182]P148(x81823,x81822,x81821)+E(x81821,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x81821),f859(x81821,x81822,x81823))),f855(x81821,x81822,x81823)),x81822)+~P107(f334(x81823,f857(x81821,x81822,x81823)))
% 164.74/165.09 [8183]P147(x81833,x81832,x81831)+E(x81831,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x81831),f864(x81831,x81832,x81833))),f861(x81831,x81832,x81833)),x81832)+~P107(f334(x81833,f862(x81831,x81832,x81833)))
% 164.74/165.09 [8244]P147(x82443,x82442,x82441)+~P107(f334(x82443,x82442))+E(f334(f334(f89(a1),f334(f334(f90(a1),x82441),f863(x82441,x82442,x82443))),f862(x82441,x82442,x82443)),x82442)+~P107(f334(x82443,f861(x82441,x82442,x82443)))
% 164.74/165.09 [8245]P147(x82453,x82452,x82451)+~P107(f334(x82453,x82452))+E(f334(f334(f89(a1),f334(f334(f90(a1),x82451),f864(x82451,x82452,x82453))),f861(x82451,x82452,x82453)),x82452)+~P107(f334(x82453,f862(x82451,x82452,x82453)))
% 164.74/165.09 [8255]P148(x82553,x82552,x82551)+E(f334(f334(f89(a1),f334(f334(f90(a1),x82551),f857(x82551,x82552,x82553))),f856(x82551,x82552,x82553)),x82552)+~P107(f334(x82553,f859(x82551,x82552,x82553)))+~P107(f334(x82553,f2(a1)))
% 164.74/165.09 [8256]P148(x82563,x82562,x82561)+E(f334(f334(f89(a1),f334(f334(f90(a1),x82561),f859(x82561,x82562,x82563))),f855(x82561,x82562,x82563)),x82562)+~P107(f334(x82563,f857(x82561,x82562,x82563)))+~P107(f334(x82563,f2(a1)))
% 164.74/165.09 [8354]P148(x83543,x83542,x83541)+E(x83541,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x83541),f857(x83541,x83542,x83543))),f856(x83541,x83542,x83543)),x83542)+P107(f334(f334(f248(a1),f855(x83541,x83542,x83543)),f2(a1)))
% 164.74/165.09 [8355]P147(x83553,x83552,x83551)+E(x83551,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x83551),f863(x83551,x83552,x83553))),f862(x83551,x83552,x83553)),x83552)+P107(f334(f334(f248(a1),f861(x83551,x83552,x83553)),f2(a1)))
% 164.74/165.09 [8394]P147(x83943,x83942,x83941)+~P107(f334(x83943,x83942))+E(f334(f334(f89(a1),f334(f334(f90(a1),x83941),f863(x83941,x83942,x83943))),f862(x83941,x83942,x83943)),x83942)+P107(f334(f334(f248(a1),f861(x83941,x83942,x83943)),f2(a1)))
% 164.74/165.09 [8399]P148(x83993,x83992,x83991)+E(f334(f334(f89(a1),f334(f334(f90(a1),x83991),f857(x83991,x83992,x83993))),f856(x83991,x83992,x83993)),x83992)+~P107(f334(x83993,f2(a1)))+P107(f334(f334(f248(a1),f855(x83991,x83992,x83993)),f2(a1)))
% 164.74/165.09 [8531]P148(x85313,x85312,x85311)+E(x85311,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x85311),f859(x85311,x85312,x85313))),f855(x85311,x85312,x85313)),x85312)+E(f334(f334(f89(a1),f334(f334(f90(a1),x85311),f857(x85311,x85312,x85313))),f856(x85311,x85312,x85313)),x85312)
% 164.74/165.09 [8532]P147(x85323,x85322,x85321)+E(x85321,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x85321),f864(x85321,x85322,x85323))),f861(x85321,x85322,x85323)),x85322)+E(f334(f334(f89(a1),f334(f334(f90(a1),x85321),f863(x85321,x85322,x85323))),f862(x85321,x85322,x85323)),x85322)
% 164.74/165.09 [8556]P147(x85563,x85562,x85561)+~P107(f334(x85563,x85562))+E(f334(f334(f89(a1),f334(f334(f90(a1),x85561),f864(x85561,x85562,x85563))),f861(x85561,x85562,x85563)),x85562)+E(f334(f334(f89(a1),f334(f334(f90(a1),x85561),f863(x85561,x85562,x85563))),f862(x85561,x85562,x85563)),x85562)
% 164.74/165.09 [8569]P148(x85693,x85692,x85691)+E(f334(f334(f89(a1),f334(f334(f90(a1),x85691),f859(x85691,x85692,x85693))),f855(x85691,x85692,x85693)),x85692)+E(f334(f334(f89(a1),f334(f334(f90(a1),x85691),f857(x85691,x85692,x85693))),f856(x85691,x85692,x85693)),x85692)+~P107(f334(x85693,f2(a1)))
% 164.74/165.09 [9252]~P127(x92521)+~E(x92523,f2(x92521))+~E(x92522,f2(x92521))+P107(f334(f334(f248(x92521),f334(f334(f89(x92521),f334(f334(f90(x92521),x92522),x92522)),f334(f334(f90(x92521),x92523),x92523))),f2(x92521)))
% 164.74/165.09 [10324]~P122(x103241)+~E(x103243,f2(x103241))+~E(x103242,f2(x103241))+P107(f334(f334(f248(x103241),f334(f334(f89(x103241),f334(f334(f258(x103241),x103242),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f334(f258(x103241),x103243),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))),f2(x103241)))
% 164.74/165.09 [4976]~E(x49763,x49761)+~P120(x49762)+E(x49761,f2(x49762))+E(f334(f334(f297(x49762),x49763),x49761),f87(x49762))
% 164.74/165.09 [5028]~P85(x50281)+~E(x50283,f198(x50281))+~E(x50282,f198(x50281))+E(f334(f334(f123(x50281),x50282),x50283),f198(x50281))
% 164.74/165.09 [5029]~P84(x50291)+~E(x50293,f256(x50291))+~E(x50292,f256(x50291))+E(f334(f334(f114(x50291),x50292),x50293),f256(x50291))
% 164.74/165.09 [5116]~P120(x51163)+E(x51161,x51162)+E(x51162,f2(x51163))+~E(f334(f334(f297(x51163),x51161),x51162),f87(x51163))
% 164.74/165.09 [5133]~P143(x51332)+E(x51331,f2(x51332))+E(x51333,f2(x51332))+~E(f334(f334(f90(x51332),x51333),x51331),f2(x51332))
% 164.74/165.09 [5135]~P134(x51352)+E(x51351,f2(x51352))+E(x51353,f2(x51352))+~E(f334(f334(f90(x51352),x51353),x51351),f2(x51352))
% 164.74/165.09 [5509]~P114(x55093)+E(x55091,x55092)+E(x55091,f334(f88(x55093),x55092))+~E(f334(f334(f90(x55093),x55091),x55091),f334(f334(f90(x55093),x55092),x55092))
% 164.74/165.09 [5547]~P86(x55471)+E(f334(f88(x55471),x55472),x55473)+~E(f334(f334(f123(x55471),x55472),x55473),f256(x55471))+~E(f334(f334(f114(x55471),x55472),x55473),f198(x55471))
% 164.74/165.09 [5623]~P122(x56233)+E(x56231,x56232)+P107(f334(f334(f249(x56233),x56232),x56231))+P107(f334(f334(f249(x56233),x56231),x56232))
% 164.74/165.09 [5624]~P110(x56243)+E(x56241,x56242)+P107(f334(f334(f249(x56243),x56242),x56241))+P107(f334(f334(f249(x56243),x56241),x56242))
% 164.74/165.09 [5625]~E(x56252,x56253)+~P110(x56251)+P107(f334(f334(f249(x56251),x56252),x56253))+P107(f334(f334(f248(x56251),x56252),x56253))
% 164.74/165.09 [5878]~P111(x58783)+E(x58781,x58782)+~P107(f334(f334(f248(x58783),x58782),x58781))+P107(f334(f334(f249(x58783),x58782),x58781))
% 164.74/165.09 [5880]~P110(x58803)+E(x58801,x58802)+~P107(f334(f334(f248(x58803),x58801),x58802))+P107(f334(f334(f249(x58803),x58801),x58802))
% 164.74/165.09 [5886]~P111(x58863)+E(x58861,x58862)+~P107(f334(f334(f248(x58863),x58861),x58862))+P107(f334(f334(f249(x58863),x58861),x58862))
% 164.74/165.09 [5990]P147(x59901,x59902,x59903)+~P107(f334(x59901,x59902))+P107(f334(f334(f249(a1),x59903),f2(a1)))+P107(f334(f334(f249(a1),f2(a1)),x59903))
% 164.74/165.09 [6037]P148(x60371,x60372,x60373)+~P107(f334(x60371,f2(a1)))+P107(f334(f334(f249(a1),x60373),f2(a1)))+P107(f334(f334(f249(a1),f2(a1)),x60373))
% 164.74/165.09 [6041]~P83(x60411)+E(f334(f334(f123(x60411),x60412),f11(x60411,x60413)),x60412)+~P107(f334(f70(x60411),x60413))+~P107(f334(f334(f336(x60411),x60412),x60413))
% 164.74/165.09 [6042]~P83(x60421)+E(f334(f334(f114(x60421),x60422),f10(x60421,x60423)),x60422)+~P107(f334(f70(x60421),x60423))+~P107(f334(f334(f336(x60421),x60422),x60423))
% 164.74/165.09 [6080]~P83(x60801)+E(f334(f334(f123(x60801),x60802),f10(x60801,x60803)),f10(x60801,x60803))+~P107(f334(f70(x60801),x60803))+~P107(f334(f334(f336(x60801),x60802),x60803))
% 164.74/165.09 [6081]~P83(x60811)+E(f334(f334(f114(x60811),x60812),f11(x60811,x60813)),f11(x60811,x60813))+~P107(f334(f70(x60811),x60813))+~P107(f334(f334(f336(x60811),x60812),x60813))
% 164.74/165.09 [6082]~P110(x60821)+E(f334(f334(f246(x60821),x60822),f14(x60821,x60823)),f14(x60821,x60823))+~P107(f334(f70(x60821),x60823))+~P107(f334(f334(f336(x60821),x60822),x60823))
% 164.74/165.09 [6083]~P110(x60831)+E(f334(f334(f247(x60831),x60832),f15(x60831,x60833)),f15(x60831,x60833))+~P107(f334(f70(x60831),x60833))+~P107(f334(f334(f336(x60831),x60832),x60833))
% 164.74/165.09 [6125]E(x61251,x61252)+~P111(x61253)+~P107(f334(f334(f248(x61253),x61252),x61251))+~P107(f334(f334(f248(x61253),x61251),x61252))
% 164.74/165.09 [6266]~P108(x62661)+P107(f334(f334(f249(x62661),x62663),x62662))+~P107(f334(f334(f248(x62661),x62663),x62662))+P107(f334(f334(f248(x62661),x62662),x62663))
% 164.74/165.09 [6291]~P110(x62911)+~P107(f334(f70(x62911),x62913))+P107(f334(f334(f248(x62911),x62912),f15(x62911,x62913)))+~P107(f334(f334(f336(x62911),x62912),x62913))
% 164.74/165.09 [6342]~P110(x63421)+E(f334(f334(f246(x63421),x63422),f13(x63421,f247(x63421),x63423)),x63422)+~P107(f334(f70(x63421),x63423))+~P107(f334(f334(f336(x63421),x63422),x63423))
% 164.74/165.09 [6343]~P110(x63431)+E(f334(f334(f247(x63431),x63432),f12(x63431,f246(x63431),x63433)),x63432)+~P107(f334(f70(x63431),x63433))+~P107(f334(f334(f336(x63431),x63432),x63433))
% 164.74/165.09 [6479]E(x64791,x64792)+~E(f334(f334(f23(a919),x64791),x64793),f334(f334(f23(a919),x64792),x64793))+~P107(f334(f334(f248(a919),x64793),x64791))+~P107(f334(f334(f248(a919),x64793),x64792))
% 164.74/165.09 [6505]~P110(x65051)+~P107(f334(f70(x65051),x65052))+~P107(f334(f334(f336(x65051),x65053),x65052))+P107(f334(f334(f248(x65051),f14(x65051,x65052)),x65053))
% 164.74/165.09 [6570]P148(x65702,x65703,x65701)+E(x65701,f2(a1))+P107(f334(f334(f249(a1),x65701),f855(x65701,x65703,x65702)))+P107(f334(f334(f249(a1),f2(a1)),x65701))
% 164.74/165.09 [6571]P147(x65712,x65713,x65711)+E(x65711,f2(a1))+P107(f334(f334(f249(a1),x65711),f861(x65711,x65713,x65712)))+P107(f334(f334(f249(a1),f2(a1)),x65711))
% 164.74/165.09 [6572]~P110(x65721)+E(f334(f334(f246(x65721),x65722),f12(x65721,f246(x65721),x65723)),f12(x65721,f246(x65721),x65723))+~P107(f334(f70(x65721),x65723))+~P107(f334(f334(f336(x65721),x65722),x65723))
% 164.74/165.09 [6573]~P110(x65731)+E(f334(f334(f247(x65731),x65732),f13(x65731,f247(x65731),x65733)),f13(x65731,f247(x65731),x65733))+~P107(f334(f70(x65731),x65733))+~P107(f334(f334(f336(x65731),x65732),x65733))
% 164.74/165.09 [6579]~P107(f334(x65791,x65792))+P107(f334(x65791,f647(x65792,x65791,x65793)))+P107(f334(x65791,f2(a919)))+~P107(f334(f334(f249(a919),x65792),x65793))
% 164.74/165.09 [6635]~P107(f334(x66351,x66352))+~P107(f334(f70(x66353),x66352))+P107(f334(x66351,f398(x66351,x66352,x66353)))+P107(f334(x66351,f198(f926(x66353,a913))))
% 164.74/165.09 [6648]~P122(x66481)+~P97(x66481)+P107(f334(f334(f248(x66481),f334(f116(x66481),x66482)),f334(f116(x66481),x66483)))+~P107(f334(f334(f248(a1),x66482),x66483))
% 164.74/165.09 [6649]~P122(x66491)+~P97(x66491)+P107(f334(f334(f249(x66491),f334(f116(x66491),x66492)),f334(f116(x66491),x66493)))+~P107(f334(f334(f249(a1),x66492),x66493))
% 164.74/165.09 [6652]~P107(f334(x66521,x66523))+~P107(f334(f70(x66522),x66523))+P107(f334(f70(x66522),f398(x66521,x66523,x66522)))+P107(f334(x66521,f198(f926(x66522,a913))))
% 164.74/165.09 [6685]P147(x66851,x66852,x66853)+~P107(f334(x66851,x66852))+P107(f334(f334(f249(a1),x66853),f861(x66853,x66852,x66851)))+P107(f334(f334(f249(a1),f2(a1)),x66853))
% 164.74/165.09 [6723]P148(x67231,x67232,x67233)+P107(f334(f334(f249(a1),x67233),f855(x67233,x67232,x67231)))+~P107(f334(x67231,f2(a1)))+P107(f334(f334(f249(a1),f2(a1)),x67233))
% 164.74/165.09 [6753]~P109(x67531)+~P98(x67531)+E(f334(f334(f246(x67531),f334(f116(x67531),x67532)),f334(f116(x67531),x67533)),f334(f116(x67531),x67533))+P107(f334(f334(f248(x67531),f334(f116(x67531),x67532)),f334(f116(x67531),x67533)))
% 164.74/165.09 [6754]~P109(x67541)+~P98(x67541)+E(f334(f334(f247(x67541),f334(f116(x67541),x67542)),f334(f116(x67541),x67543)),f334(f116(x67541),x67542))+P107(f334(f334(f248(x67541),f334(f116(x67541),x67542)),f334(f116(x67541),x67543)))
% 164.74/165.09 [6811]P148(x68112,x68113,x68111)+E(x68111,f2(a1))+~P107(f334(x68112,f859(x68111,x68113,x68112)))+P107(f334(f334(f249(a1),f2(a1)),x68111))
% 164.74/165.09 [6812]P147(x68122,x68123,x68121)+E(x68121,f2(a1))+~P107(f334(x68122,f861(x68121,x68123,x68122)))+P107(f334(f334(f249(a1),f2(a1)),x68121))
% 164.74/165.09 [6816]P107(f334(x68161,x68162))+~P107(f334(f70(x68163),x68162))+P107(f334(x68161,f823(x68161,x68162,x68163)))+~P107(f334(x68161,f198(f926(x68163,a913))))
% 164.74/165.09 [6836]P107(f334(x68361,x68362))+P107(f334(f70(x68363),f823(x68361,x68362,x68363)))+~P107(f334(f70(x68363),x68362))+~P107(f334(x68361,f198(f926(x68363,a913))))
% 164.74/165.09 [6898]P147(x68981,x68982,x68983)+~P107(f334(x68981,x68982))+~P107(f334(x68981,f861(x68983,x68982,x68981)))+P107(f334(f334(f249(a1),f2(a1)),x68983))
% 164.74/165.09 [6927]P148(x69271,x69272,x69273)+~P107(f334(x69271,f859(x69273,x69272,x69271)))+~P107(f334(x69271,f2(a1)))+P107(f334(f334(f249(a1),f2(a1)),x69273))
% 164.74/165.09 [6956]P107(f334(x69561,x69562))+~P107(f334(x69561,x69563))+~P107(f334(x69561,f869(x69561,x69563,x69562)))+~P107(f334(f334(f248(a919),x69562),x69563))
% 164.74/165.09 [7032]~P97(x70323)+~P122(x70323)+~P107(f334(f334(f248(x70323),f334(f116(x70323),x70321)),f334(f116(x70323),x70322)))+P107(f334(f334(f248(a1),x70321),x70322))
% 164.74/165.09 [7033]~P97(x70333)+~P122(x70333)+~P107(f334(f334(f249(x70333),f334(f116(x70333),x70331)),f334(f116(x70333),x70332)))+P107(f334(f334(f249(a1),x70331),x70332))
% 164.74/165.09 [7062]~P110(x70621)+~P12(x70621,x70623)+P12(x70621,f334(f334(f161(x70621),x70622),x70623))+~P107(f334(f334(f248(x70621),x70622),f772(x70623,x70622,x70621)))
% 164.74/165.09 [7063]~P110(x70631)+~P12(x70631,x70633)+P12(x70631,f334(f334(f161(x70631),x70632),x70633))+~P107(f334(f334(f248(x70631),x70632),f773(x70633,x70632,x70631)))
% 164.74/165.09 [7064]~P110(x70641)+~P12(x70641,x70643)+P12(x70641,f334(f334(f161(x70641),x70642),x70643))+~P107(f334(f334(f248(x70641),x70642),f799(x70642,x70643,x70641)))
% 164.74/165.09 [7146]P148(x71462,x71463,x71461)+E(x71461,f2(a1))+P107(f334(f334(f249(a1),x71461),f2(a1)))+P107(f334(f334(f249(a1),f856(x71461,x71463,x71462)),x71461))
% 164.74/165.09 [7147]P147(x71472,x71473,x71471)+E(x71471,f2(a1))+P107(f334(f334(f249(a1),x71471),f2(a1)))+P107(f334(f334(f249(a1),f862(x71471,x71473,x71472)),x71471))
% 164.74/165.09 [7185]P148(x71852,x71853,x71851)+E(x71851,f2(a1))+P107(f334(f334(f248(a1),f855(x71851,x71853,x71852)),f2(a1)))+P107(f334(f334(f249(a1),f2(a1)),x71851))
% 164.74/165.09 [7186]P147(x71862,x71863,x71861)+E(x71861,f2(a1))+P107(f334(f334(f248(a1),f861(x71861,x71863,x71862)),f2(a1)))+P107(f334(f334(f249(a1),f2(a1)),x71861))
% 164.74/165.09 [7211]~P110(x72111)+~P12(x72111,x72113)+E(f334(f334(f158(x72111,x72111,f5(x72111)),x72112),f180(x72111,x72112,x72113)),x72113)+~P107(f334(f334(f336(x72111),x72112),f334(f182(x72111),x72113)))
% 164.74/165.09 [7257]P147(x72571,x72572,x72573)+~P107(f334(x72571,x72572))+P107(f334(f334(f249(a1),x72573),f2(a1)))+P107(f334(f334(f249(a1),f862(x72573,x72572,x72571)),x72573))
% 164.74/165.09 [7263]~P109(x72631)+~P98(x72631)+E(f334(f334(f246(x72631),f334(f116(x72631),x72632)),f334(f116(x72631),x72633)),f334(f116(x72631),x72632))+~P107(f334(f334(f248(x72631),f334(f116(x72631),x72632)),f334(f116(x72631),x72633)))
% 164.74/165.09 [7264]~P109(x72641)+~P98(x72641)+E(f334(f334(f247(x72641),f334(f116(x72641),x72642)),f334(f116(x72641),x72643)),f334(f116(x72641),x72643))+~P107(f334(f334(f248(x72641),f334(f116(x72641),x72642)),f334(f116(x72641),x72643)))
% 164.74/165.09 [7273]~P107(f334(x72731,x72733))+P107(f334(x72731,x72732))+~P107(f334(f334(f248(a919),x72732),x72733))+P107(f334(x72731,f334(a125,f869(x72731,x72733,x72732))))
% 164.74/165.09 [7279]P148(x72791,x72792,x72793)+~P107(f334(x72791,f2(a1)))+P107(f334(f334(f249(a1),x72793),f2(a1)))+P107(f334(f334(f249(a1),f856(x72793,x72792,x72791)),x72793))
% 164.74/165.09 [7287]P147(x72871,x72872,x72873)+~P107(f334(x72871,x72872))+P107(f334(f334(f248(a1),f861(x72873,x72872,x72871)),f2(a1)))+P107(f334(f334(f249(a1),f2(a1)),x72873))
% 164.74/165.09 [7311]P148(x73111,x73112,x73113)+~P107(f334(x73111,f2(a1)))+P107(f334(f334(f248(a1),f855(x73113,x73112,x73111)),f2(a1)))+P107(f334(f334(f249(a1),f2(a1)),x73113))
% 164.74/165.09 [7324]~P107(f334(x73241,x73243))+P107(f334(x73241,x73242))+~P107(f334(f334(f248(a919),x73242),x73243))+P107(f334(f334(f249(a919),f869(x73241,x73243,x73242)),x73243))
% 164.74/165.09 [7340]~P107(f334(x73401,x73402))+P107(f334(x73401,f2(a919)))+~P107(f334(f334(f249(a919),x73402),x73403))+P107(f334(f334(f249(a919),f647(x73402,x73401,x73403)),x73403))
% 164.74/165.09 [7357]~P110(x73571)+~P12(x73571,x73573)+P12(x73571,f334(f334(f161(x73571),x73572),x73573))+P107(f334(f334(f336(x73571),f772(x73573,x73572,x73571)),f334(f182(x73571),x73573)))
% 164.74/165.09 [7358]~P110(x73581)+~P12(x73581,x73583)+P12(x73581,f334(f334(f161(x73581),x73582),x73583))+P107(f334(f334(f336(x73581),f773(x73583,x73582,x73581)),f334(f182(x73581),x73583)))
% 164.74/165.09 [7359]~P110(x73591)+~P12(x73591,x73593)+P12(x73591,f334(f334(f161(x73591),x73592),x73593))+P107(f334(f334(f336(x73591),f799(x73592,x73593,x73591)),f334(f182(x73591),x73593)))
% 164.74/165.09 [7468]~P110(x74681)+~P3(x74681)+~P107(f334(f334(f249(x74681),x74683),f46(x74681,x74682)))+P107(f334(f334(f336(x74681),f370(x74682,x74683,x74681)),x74682))
% 164.74/165.09 [7625]~P110(x76251)+~P3(x76251)+~P107(f334(f334(f249(x76251),f47(x76251,x76253)),x76252))+P107(f334(f334(f336(x76251),f384(x76252,x76253,x76251)),x76253))
% 164.74/165.09 [7626]~P110(x76261)+~P3(x76261)+~P107(f334(f334(f249(x76261),f47(x76261,x76263)),x76262))+P107(f334(f334(f249(x76261),f384(x76262,x76263,x76261)),x76262))
% 164.74/165.09 [7639]P148(x76392,x76393,x76391)+E(x76391,f2(a1))+P107(f334(f334(f249(a1),x76391),f855(x76391,x76393,x76392)))+P107(f334(f334(f249(a1),f856(x76391,x76393,x76392)),x76391))
% 164.74/165.09 [7640]P147(x76402,x76403,x76401)+E(x76401,f2(a1))+P107(f334(f334(f249(a1),x76401),f861(x76401,x76403,x76402)))+P107(f334(f334(f249(a1),f862(x76401,x76403,x76402)),x76401))
% 164.74/165.09 [7729]P148(x77293,x77292,x77291)+E(x77291,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x77291),f859(x77291,x77292,x77293))),f855(x77291,x77292,x77293)),x77292)+P107(f334(f334(f249(a1),f2(a1)),x77291))
% 164.74/165.09 [7730]P147(x77303,x77302,x77301)+E(x77301,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x77301),f864(x77301,x77302,x77303))),f861(x77301,x77302,x77303)),x77302)+P107(f334(f334(f249(a1),f2(a1)),x77301))
% 164.74/165.09 [7732]~P127(x77321)+~P107(f334(f334(f248(x77321),x77323),f2(x77321)))+P107(f334(f334(f248(x77321),f334(f334(f90(x77321),x77322),x77323)),f2(x77321)))+~P107(f334(f334(f248(x77321),f2(x77321)),x77322))
% 164.74/165.09 [7733]~P127(x77331)+~P107(f334(f334(f248(x77331),x77332),f2(x77331)))+P107(f334(f334(f248(x77331),f334(f334(f90(x77331),x77332),x77333)),f2(x77331)))+~P107(f334(f334(f248(x77331),f2(x77331)),x77333))
% 164.74/165.09 [7735]~P135(x77351)+~P107(f334(f334(f248(x77351),x77353),f2(x77351)))+P107(f334(f334(f248(x77351),f334(f334(f90(x77351),x77352),x77353)),f2(x77351)))+~P107(f334(f334(f248(x77351),f2(x77351)),x77352))
% 164.74/165.09 [7737]~P135(x77371)+~P107(f334(f334(f248(x77371),x77372),f2(x77371)))+P107(f334(f334(f248(x77371),f334(f334(f90(x77371),x77372),x77373)),f2(x77371)))+~P107(f334(f334(f248(x77371),f2(x77371)),x77373))
% 164.74/165.09 [7738]~P67(x77381)+~P107(f334(f334(f248(x77381),x77383),f2(x77381)))+P107(f334(f334(f248(x77381),f334(f334(f297(x77381),x77382),x77383)),f2(x77381)))+~P107(f334(f334(f248(x77381),f2(x77381)),x77382))
% 164.74/165.09 [7739]~P67(x77391)+~P107(f334(f334(f248(x77391),x77392),f2(x77391)))+P107(f334(f334(f248(x77391),f334(f334(f297(x77391),x77392),x77393)),f2(x77391)))+~P107(f334(f334(f248(x77391),f2(x77391)),x77393))
% 164.74/165.09 [7740]~P68(x77401)+~P107(f334(f334(f248(x77401),x77402),f2(x77401)))+P107(f334(f334(f248(x77401),f334(f334(f297(x77401),x77402),x77403)),f2(x77401)))+~P107(f334(f334(f249(x77401),f2(x77401)),x77403))
% 164.74/165.09 [7741]~P68(x77411)+~P107(f334(f334(f249(x77411),x77413),f2(x77411)))+P107(f334(f334(f248(x77411),f334(f334(f297(x77411),x77412),x77413)),f2(x77411)))+~P107(f334(f334(f248(x77411),f2(x77411)),x77412))
% 164.74/165.09 [7743]~P130(x77431)+~P107(f334(f334(f249(x77431),x77433),f2(x77431)))+P107(f334(f334(f249(x77431),f334(f334(f90(x77431),x77432),x77433)),f2(x77431)))+~P107(f334(f334(f249(x77431),f2(x77431)),x77432))
% 164.74/165.09 [7744]~P130(x77441)+~P107(f334(f334(f249(x77441),x77442),f2(x77441)))+P107(f334(f334(f249(x77441),f334(f334(f90(x77441),x77442),x77443)),f2(x77441)))+~P107(f334(f334(f249(x77441),f2(x77441)),x77443))
% 164.74/165.09 [7745]~P67(x77451)+~P107(f334(f334(f249(x77451),x77453),f2(x77451)))+P107(f334(f334(f249(x77451),f334(f334(f297(x77451),x77452),x77453)),f2(x77451)))+~P107(f334(f334(f249(x77451),f2(x77451)),x77452))
% 164.74/165.09 [7746]~P67(x77461)+~P107(f334(f334(f249(x77461),x77462),f2(x77461)))+P107(f334(f334(f249(x77461),f334(f334(f297(x77461),x77462),x77463)),f2(x77461)))+~P107(f334(f334(f249(x77461),f2(x77461)),x77463))
% 164.74/165.09 [7747]~P68(x77471)+~P107(f334(f334(f249(x77471),x77473),f2(x77471)))+P107(f334(f334(f249(x77471),f334(f334(f297(x77471),x77472),x77473)),f2(x77471)))+~P107(f334(f334(f249(x77471),f2(x77471)),x77472))
% 164.74/165.09 [7748]~P68(x77481)+~P107(f334(f334(f249(x77481),x77482),f2(x77481)))+P107(f334(f334(f249(x77481),f334(f334(f297(x77481),x77482),x77483)),f2(x77481)))+~P107(f334(f334(f249(x77481),f2(x77481)),x77483))
% 164.74/165.09 [7763]P147(x77631,x77632,x77633)+~P107(f334(x77631,x77632))+P107(f334(f334(f249(a1),x77633),f861(x77633,x77632,x77631)))+P107(f334(f334(f249(a1),f862(x77633,x77632,x77631)),x77633))
% 164.74/165.09 [7776]P148(x77761,x77762,x77763)+P107(f334(f334(f249(a1),x77763),f855(x77763,x77762,x77761)))+~P107(f334(x77761,f2(a1)))+P107(f334(f334(f249(a1),f856(x77763,x77762,x77761)),x77763))
% 164.74/165.09 [7826]P148(x78262,x78263,x78261)+E(x78261,f2(a1))+~P107(f334(x78262,f859(x78261,x78263,x78262)))+P107(f334(f334(f249(a1),f856(x78261,x78263,x78262)),x78261))
% 164.74/165.09 [7827]P147(x78272,x78273,x78271)+E(x78271,f2(a1))+~P107(f334(x78272,f861(x78271,x78273,x78272)))+P107(f334(f334(f249(a1),f862(x78271,x78273,x78272)),x78271))
% 164.74/165.09 [7839]P147(x78393,x78392,x78391)+~P107(f334(x78393,x78392))+E(f334(f334(f89(a1),f334(f334(f90(a1),x78391),f864(x78391,x78392,x78393))),f861(x78391,x78392,x78393)),x78392)+P107(f334(f334(f249(a1),f2(a1)),x78391))
% 164.74/165.09 [7855]P148(x78553,x78552,x78551)+E(f334(f334(f89(a1),f334(f334(f90(a1),x78551),f859(x78551,x78552,x78553))),f855(x78551,x78552,x78553)),x78552)+~P107(f334(x78553,f2(a1)))+P107(f334(f334(f249(a1),f2(a1)),x78551))
% 164.74/165.09 [7882]~P107(f334(x78821,x78823))+~P107(f334(f70(x78822),x78823))+P107(f334(f334(f336(x78822),f399(x78821,x78823,x78822)),f398(x78821,x78823,x78822)))+P107(f334(x78821,f198(f926(x78822,a913))))
% 164.74/165.09 [7893]P147(x78931,x78932,x78933)+~P107(f334(x78931,x78932))+~P107(f334(x78931,f861(x78933,x78932,x78931)))+P107(f334(f334(f249(a1),f862(x78933,x78932,x78931)),x78933))
% 164.74/165.09 [7899]P148(x78991,x78992,x78993)+~P107(f334(x78991,f859(x78993,x78992,x78991)))+~P107(f334(x78991,f2(a1)))+P107(f334(f334(f249(a1),f856(x78993,x78992,x78991)),x78993))
% 164.74/165.09 [8003]~P127(x80031)+~P107(f334(f334(f248(x80031),f334(f334(f90(x80031),x80033),x80032)),f2(x80031)))+P107(f334(f334(f248(x80031),x80032),f2(x80031)))+P107(f334(f334(f248(x80031),f2(x80031)),x80032))
% 164.74/165.09 [8004]~P127(x80041)+~P107(f334(f334(f248(x80041),f334(f334(f90(x80041),x80042),x80043)),f2(x80041)))+P107(f334(f334(f248(x80041),x80042),f2(x80041)))+P107(f334(f334(f248(x80041),f2(x80041)),x80042))
% 164.74/165.09 [8005]~P67(x80051)+~P107(f334(f334(f248(x80051),f334(f334(f297(x80051),x80053),x80052)),f2(x80051)))+P107(f334(f334(f248(x80051),x80052),f2(x80051)))+P107(f334(f334(f248(x80051),f2(x80051)),x80052))
% 164.74/165.09 [8006]~P67(x80061)+~P107(f334(f334(f248(x80061),f334(f334(f297(x80061),x80062),x80063)),f2(x80061)))+P107(f334(f334(f248(x80061),x80062),f2(x80061)))+P107(f334(f334(f248(x80061),f2(x80061)),x80062))
% 164.74/165.09 [8007]~P67(x80071)+~P107(f334(f334(f249(x80071),f334(f334(f297(x80071),x80073),x80072)),f2(x80071)))+P107(f334(f334(f249(x80071),x80072),f2(x80071)))+P107(f334(f334(f249(x80071),f2(x80071)),x80072))
% 164.74/165.09 [8008]~P67(x80081)+~P107(f334(f334(f249(x80081),f334(f334(f297(x80081),x80082),x80083)),f2(x80081)))+P107(f334(f334(f249(x80081),x80082),f2(x80081)))+P107(f334(f334(f249(x80081),f2(x80081)),x80082))
% 164.74/165.09 [8032]~P127(x80321)+~P107(f334(f334(f248(x80321),f334(f334(f90(x80321),x80322),x80323)),f2(x80321)))+P107(f334(f334(f248(x80321),f2(x80321)),x80322))+P107(f334(f334(f248(x80321),f2(x80321)),x80323))
% 164.74/165.09 [8033]~P67(x80331)+~P107(f334(f334(f248(x80331),f334(f334(f297(x80331),x80332),x80333)),f2(x80331)))+P107(f334(f334(f248(x80331),f2(x80331)),x80332))+P107(f334(f334(f248(x80331),f2(x80331)),x80333))
% 164.74/165.09 [8034]~P67(x80341)+~P107(f334(f334(f249(x80341),f334(f334(f297(x80341),x80342),x80343)),f2(x80341)))+P107(f334(f334(f249(x80341),f2(x80341)),x80342))+P107(f334(f334(f249(x80341),f2(x80341)),x80343))
% 164.74/165.09 [8056]P148(x80562,x80563,x80561)+E(x80561,f2(a1))+P107(f334(f334(f248(a1),f855(x80561,x80563,x80562)),f2(a1)))+P107(f334(f334(f249(a1),f856(x80561,x80563,x80562)),x80561))
% 164.74/165.09 [8057]P147(x80572,x80573,x80571)+E(x80571,f2(a1))+P107(f334(f334(f248(a1),f861(x80571,x80573,x80572)),f2(a1)))+P107(f334(f334(f249(a1),f862(x80571,x80573,x80572)),x80571))
% 164.74/165.09 [8064]~P125(x80641)+~P107(f334(f334(f249(x80641),x80642),f87(x80641)))+P107(f334(f334(f249(x80641),f334(f334(f258(x80641),x80642),f334(a125,x80643))),f87(x80641)))+~P107(f334(f334(f249(x80641),f2(x80641)),x80642))
% 164.74/165.09 [8116]~P110(x81161)+~E(x81163,f126(x81161))+~P12(x81161,f334(f178(x81161),x81163))+E(f334(f152(x81161,x81161,f334(f7(x81161,x81161,x81161),f247(x81161)),x81162),f334(f178(x81161),x81163)),x81162)
% 164.74/165.09 [8119]P147(x81191,x81192,x81193)+~P107(f334(x81191,x81192))+P107(f334(f334(f248(a1),f861(x81193,x81192,x81191)),f2(a1)))+P107(f334(f334(f249(a1),f862(x81193,x81192,x81191)),x81193))
% 164.74/165.09 [8129]P148(x81291,x81292,x81293)+~P107(f334(x81291,f2(a1)))+P107(f334(f334(f248(a1),f855(x81293,x81292,x81291)),f2(a1)))+P107(f334(f334(f249(a1),f856(x81293,x81292,x81291)),x81293))
% 164.74/165.09 [8348]P148(x83483,x83482,x83481)+E(x83481,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x83481),f859(x83481,x83482,x83483))),f855(x83481,x83482,x83483)),x83482)+P107(f334(f334(f249(a1),f856(x83481,x83482,x83483)),x83481))
% 164.74/165.09 [8349]P147(x83493,x83492,x83491)+E(x83491,f2(a1))+E(f334(f334(f89(a1),f334(f334(f90(a1),x83491),f864(x83491,x83492,x83493))),f861(x83491,x83492,x83493)),x83492)+P107(f334(f334(f249(a1),f862(x83491,x83492,x83493)),x83491))
% 164.74/165.09 [8385]P147(x83853,x83852,x83851)+~P107(f334(x83853,x83852))+E(f334(f334(f89(a1),f334(f334(f90(a1),x83851),f864(x83851,x83852,x83853))),f861(x83851,x83852,x83853)),x83852)+P107(f334(f334(f249(a1),f862(x83851,x83852,x83853)),x83851))
% 164.74/165.09 [8386]~P72(x83861)+~P76(x83861)+~P40(x83863)+E(f334(f334(f6(a919,x83861),f334(f334(f8(a1,x83861,a919),x83862),f113(a1))),f334(f317(a1,a919,a117),x83863)),f334(f334(f6(a1,x83861),x83862),x83863))
% 164.74/165.09 [8387]~P72(x83871)+~P76(x83871)+~P40(x83873)+E(f334(f334(f9(a919,x83871),f334(f334(f8(a1,x83871,a919),x83872),f113(a1))),f334(f317(a1,a919,a117),x83873)),f334(f334(f9(a1,x83871),x83872),x83873))
% 164.74/165.09 [8396]P148(x83963,x83962,x83961)+E(f334(f334(f89(a1),f334(f334(f90(a1),x83961),f859(x83961,x83962,x83963))),f855(x83961,x83962,x83963)),x83962)+~P107(f334(x83963,f2(a1)))+P107(f334(f334(f249(a1),f856(x83961,x83962,x83963)),x83961))
% 164.74/165.09 [8418]~E(x84182,f2(a919))+~E(f334(f265(a919,a919),x84183),f2(a919))+~E(x84181,f334(f334(f89(a919),f334(f334(f90(a919),f334(f265(a919,a919),x84183)),x84182)),f334(f269(a919,a919),x84183)))+P107(f334(f57(x84181,x84182),x84183))
% 164.74/165.09 [8473]P107(f334(x84731,x84732))+~P107(f334(f334(f336(x84733),f824(x84731,x84732,x84733)),f823(x84731,x84732,x84733)))+~P107(f334(f70(x84733),x84732))+~P107(f334(x84731,f198(f926(x84733,a913))))
% 164.74/165.09 [9118]P107(f334(x91181,x91182))+~P107(f334(f70(x91183),x91182))+~P107(f334(x91181,f334(f334(f316(x91183),f824(x91181,x91182,x91183)),f823(x91181,x91182,x91183))))+~P107(f334(x91181,f198(f926(x91183,a913))))
% 164.74/165.09 [9354]P107(f334(f334(f248(a1),x93541),f2(a1)))+~P107(f334(f334(f249(a1),f334(f334(f89(a1),f334(f334(f90(a1),x93543),x93541)),x93542)),f2(a1)))+~P107(f334(f334(f248(a1),f2(a1)),x93542))+~P107(f334(f334(f249(a1),f2(a1)),x93543))
% 164.74/165.09 [5949]~P83(x59492)+E(x59491,f198(f926(x59492,a913)))+~P107(f334(f70(x59492),x59491))+E(f10(x59492,f334(f334(f316(x59492),x59493),x59491)),f334(f334(f123(x59492),x59493),f10(x59492,x59491)))
% 164.74/165.09 [5950]~P83(x59502)+E(x59501,f198(f926(x59502,a913)))+~P107(f334(f70(x59502),x59501))+E(f11(x59502,f334(f334(f316(x59502),x59503),x59501)),f334(f334(f114(x59502),x59503),f11(x59502,x59501)))
% 164.74/165.09 [5951]~P110(x59512)+E(x59511,f198(f926(x59512,a913)))+~P107(f334(f70(x59512),x59511))+E(f14(x59512,f334(f334(f316(x59512),x59513),x59511)),f334(f334(f246(x59512),x59513),f14(x59512,x59511)))
% 164.74/165.09 [5952]~P110(x59522)+E(x59521,f198(f926(x59522,a913)))+~P107(f334(f70(x59522),x59521))+E(f15(x59522,f334(f334(f316(x59522),x59523),x59521)),f334(f334(f247(x59522),x59523),f15(x59522,x59521)))
% 164.74/165.09 [6263]~P127(x62631)+~E(x62633,f2(x62631))+~E(x62632,f2(x62631))+E(f334(f334(f89(x62631),f334(f334(f90(x62631),x62632),x62632)),f334(f334(f90(x62631),x62633),x62633)),f2(x62631))
% 164.74/165.09 [6335]~P99(x63352)+E(x63351,f198(f926(x63352,a913)))+~P107(f334(f70(x63352),x63351))+E(f334(f72(x63352,f90(x63352)),f334(f334(f316(x63352),x63353),x63351)),f334(f334(f90(x63352),x63353),f334(f72(x63352,f90(x63352)),x63351)))
% 164.74/165.09 [6457]~P110(x64572)+E(x64571,f198(f926(x64572,a913)))+~P107(f334(f70(x64572),x64571))+E(f12(x64572,f246(x64572),f334(f334(f316(x64572),x64573),x64571)),f334(f334(f246(x64572),x64573),f12(x64572,f246(x64572),x64571)))
% 164.74/165.09 [6458]~P110(x64582)+E(x64581,f198(f926(x64582,a913)))+~P107(f334(f70(x64582),x64581))+E(f13(x64582,f247(x64582),f334(f334(f316(x64582),x64583),x64581)),f334(f334(f247(x64582),x64583),f13(x64582,f247(x64582),x64581)))
% 164.74/165.09 [6962]~P69(x69621)+~P107(f334(f70(x69621),x69623))+E(f334(f72(x69621,f90(x69621)),f334(f334(f316(x69621),x69622),x69623)),f334(f334(f73(x69621,x69621,f90(x69621)),x69622),x69623))+P107(f334(f334(f336(x69621),x69622),x69623))
% 164.74/165.09 [7040]~E(f334(f334(f89(a1),x70402),f334(f334(f90(a1),x70403),x70401)),x70403)+~P107(f334(f334(f249(a1),f2(a1)),x70403))+P107(f334(f334(f248(a1),f87(a1)),x70401))+~P107(f334(f334(f249(a1),x70402),x70403))
% 164.74/165.09 [7069]~E(f334(f334(f89(a1),x70692),f334(f334(f90(a1),x70693),x70691)),x70693)+P107(f334(f334(f248(a1),x70691),f87(a1)))+~P107(f334(f334(f248(a1),f2(a1)),x70692))+~P107(f334(f334(f249(a1),f2(a1)),x70693))
% 164.74/165.09 [7084]E(x70841,f2(a919))+~P107(f334(f57(x70843,x70841),x70842))+~P107(f334(f334(f249(a919),f2(a919)),x70841))+P107(f334(f334(f249(a919),f334(f269(a919,a919),x70842)),x70841))
% 164.74/165.09 [7114]~P138(x71141)+~P107(f334(f334(f248(x71141),x71142),f2(x71141)))+~P107(f334(f334(f248(x71141),x71143),f2(x71141)))+E(f334(f334(f90(x71141),f334(f84(x71141),x71142)),f334(f84(x71141),x71143)),f334(f84(x71141),f334(f334(f90(x71141),x71142),x71143)))
% 164.74/165.09 [7162]~P138(x71621)+~P107(f334(f334(f248(x71621),x71622),f2(x71621)))+E(f334(f334(f90(x71621),f334(f84(x71621),x71622)),f334(f84(x71621),x71623)),f334(f84(x71621),f334(f334(f90(x71621),x71622),x71623)))+~P107(f334(f334(f248(x71621),f2(x71621)),x71623))
% 164.74/165.09 [7163]~P138(x71631)+~P107(f334(f334(f248(x71631),x71633),f2(x71631)))+E(f334(f334(f90(x71631),f334(f84(x71631),x71632)),f334(f84(x71631),x71633)),f334(f84(x71631),f334(f334(f90(x71631),x71632),x71633)))+~P107(f334(f334(f248(x71631),f2(x71631)),x71632))
% 164.74/165.09 [7219]~P138(x72191)+E(f334(f334(f90(x72191),f334(f84(x72191),x72192)),f334(f84(x72191),x72193)),f334(f84(x72191),f334(f334(f90(x72191),x72192),x72193)))+~P107(f334(f334(f248(x72191),f2(x72191)),x72192))+~P107(f334(f334(f248(x72191),f2(x72191)),x72193))
% 164.74/165.09 [7236]~P128(x72361)+~P107(f334(f334(f248(x72361),x72363),f2(x72361)))+~P107(f334(f334(f248(x72361),x72362),f2(x72361)))+P107(f334(f334(f248(x72361),f2(x72361)),f334(f334(f90(x72361),x72362),x72363)))
% 164.74/165.09 [7237]~P127(x72371)+~P107(f334(f334(f248(x72371),x72373),f2(x72371)))+~P107(f334(f334(f248(x72371),x72372),f2(x72371)))+P107(f334(f334(f248(x72371),f2(x72371)),f334(f334(f90(x72371),x72372),x72373)))
% 164.74/165.09 [7238]~P67(x72381)+~P107(f334(f334(f248(x72381),x72383),f2(x72381)))+~P107(f334(f334(f248(x72381),x72382),f2(x72381)))+P107(f334(f334(f248(x72381),f2(x72381)),f334(f334(f297(x72381),x72382),x72383)))
% 164.74/165.09 [7239]~P68(x72391)+~P107(f334(f334(f249(x72391),x72393),f2(x72391)))+~P107(f334(f334(f248(x72391),x72392),f2(x72391)))+P107(f334(f334(f248(x72391),f2(x72391)),f334(f334(f297(x72391),x72392),x72393)))
% 164.74/165.09 [7240]~P127(x72401)+~P107(f334(f334(f249(x72401),x72403),f2(x72401)))+~P107(f334(f334(f249(x72401),x72402),f2(x72401)))+P107(f334(f334(f249(x72401),f2(x72401)),f334(f334(f90(x72401),x72402),x72403)))
% 164.74/165.09 [7241]~P67(x72411)+~P107(f334(f334(f249(x72411),x72413),f2(x72411)))+~P107(f334(f334(f249(x72411),x72412),f2(x72411)))+P107(f334(f334(f249(x72411),f2(x72411)),f334(f334(f297(x72411),x72412),x72413)))
% 164.74/165.09 [7242]~P68(x72421)+~P107(f334(f334(f249(x72421),x72423),f2(x72421)))+~P107(f334(f334(f249(x72421),x72422),f2(x72421)))+P107(f334(f334(f249(x72421),f2(x72421)),f334(f334(f297(x72421),x72422),x72423)))
% 164.74/165.09 [7243]~P125(x72431)+~P107(f334(f334(f249(a919),f2(a919)),x72433))+~P107(f334(f334(f249(x72431),f87(x72431)),x72432))+P107(f334(f334(f249(x72431),f87(x72431)),f334(f334(f258(x72431),x72432),x72433)))
% 164.74/165.09 [7341]~P128(x73411)+~P107(f334(f334(f248(x73411),f2(x73411)),x73413))+~P107(f334(f334(f248(x73411),f2(x73411)),x73412))+P107(f334(f334(f248(x73411),f2(x73411)),f334(f334(f90(x73411),x73412),x73413)))
% 164.74/165.09 [7342]~P127(x73421)+~P107(f334(f334(f248(x73421),f2(x73421)),x73423))+~P107(f334(f334(f248(x73421),f2(x73421)),x73422))+P107(f334(f334(f248(x73421),f2(x73421)),f334(f334(f90(x73421),x73422),x73423)))
% 164.74/165.09 [7343]~P135(x73431)+~P107(f334(f334(f248(x73431),f2(x73431)),x73433))+~P107(f334(f334(f248(x73431),f2(x73431)),x73432))+P107(f334(f334(f248(x73431),f2(x73431)),f334(f334(f90(x73431),x73432),x73433)))
% 164.74/165.09 [7345]~P67(x73451)+~P107(f334(f334(f248(x73451),f2(x73451)),x73453))+~P107(f334(f334(f248(x73451),f2(x73451)),x73452))+P107(f334(f334(f248(x73451),f2(x73451)),f334(f334(f297(x73451),x73452),x73453)))
% 164.74/165.09 [7346]~P68(x73461)+~P107(f334(f334(f249(x73461),f2(x73461)),x73463))+~P107(f334(f334(f248(x73461),f2(x73461)),x73462))+P107(f334(f334(f248(x73461),f2(x73461)),f334(f334(f297(x73461),x73462),x73463)))
% 164.74/165.09 [7347]~P125(x73471)+~P107(f334(f334(f249(x73471),f87(x73471)),x73473))+~P107(f334(f334(f249(x73471),f87(x73471)),x73472))+P107(f334(f334(f249(x73471),f87(x73471)),f334(f334(f90(x73471),x73472),x73473)))
% 164.74/165.09 [7348]~P130(x73481)+~P107(f334(f334(f249(x73481),f2(x73481)),x73483))+~P107(f334(f334(f249(x73481),f2(x73481)),x73482))+P107(f334(f334(f249(x73481),f2(x73481)),f334(f334(f90(x73481),x73482),x73483)))
% 164.74/165.09 [7351]~P92(x73511)+~P107(f334(f334(f249(x73511),f2(x73511)),x73513))+~P107(f334(f334(f249(x73511),f2(x73511)),x73512))+P107(f334(f334(f249(x73511),f2(x73511)),f334(f334(f89(x73511),x73512),x73513)))
% 164.74/165.09 [7352]~P67(x73521)+~P107(f334(f334(f249(x73521),f2(x73521)),x73523))+~P107(f334(f334(f249(x73521),f2(x73521)),x73522))+P107(f334(f334(f249(x73521),f2(x73521)),f334(f334(f297(x73521),x73522),x73523)))
% 164.74/165.09 [7353]~P68(x73531)+~P107(f334(f334(f249(x73531),f2(x73531)),x73533))+~P107(f334(f334(f249(x73531),f2(x73531)),x73532))+P107(f334(f334(f249(x73531),f2(x73531)),f334(f334(f297(x73531),x73532),x73533)))
% 164.74/165.09 [7428]~P83(x74281)+~P107(f334(f70(x74281),x74283))+E(f10(x74281,f334(f334(f316(x74281),x74282),x74283)),x74282)+~E(f334(f334(f23(f926(x74281,a913)),x74283),f334(f334(f316(x74281),x74282),f198(f926(x74281,a913)))),f198(f926(x74281,a913)))
% 164.74/165.09 [7429]~P83(x74291)+~P107(f334(f70(x74291),x74293))+E(f11(x74291,f334(f334(f316(x74291),x74292),x74293)),x74292)+~E(f334(f334(f23(f926(x74291,a913)),x74293),f334(f334(f316(x74291),x74292),f198(f926(x74291,a913)))),f198(f926(x74291,a913)))
% 164.74/165.09 [7430]~P110(x74301)+~P107(f334(f70(x74301),x74303))+E(f14(x74301,f334(f334(f316(x74301),x74302),x74303)),x74302)+~E(f334(f334(f23(f926(x74301,a913)),x74303),f334(f334(f316(x74301),x74302),f198(f926(x74301,a913)))),f198(f926(x74301,a913)))
% 164.74/165.09 [7431]~P110(x74311)+~P107(f334(f70(x74311),x74313))+E(f15(x74311,f334(f334(f316(x74311),x74312),x74313)),x74312)+~E(f334(f334(f23(f926(x74311,a913)),x74313),f334(f334(f316(x74311),x74312),f198(f926(x74311,a913)))),f198(f926(x74311,a913)))
% 164.74/165.09 [7433]~P127(x74331)+P107(f334(f334(f248(x74331),x74332),f2(x74331)))+P107(f334(f334(f248(x74331),f2(x74331)),x74333))+~P107(f334(f334(f248(x74331),f2(x74331)),f334(f334(f90(x74331),x74333),x74332)))
% 164.74/165.09 [7434]~P127(x74341)+P107(f334(f334(f248(x74341),x74342),f2(x74341)))+P107(f334(f334(f248(x74341),f2(x74341)),x74343))+~P107(f334(f334(f248(x74341),f2(x74341)),f334(f334(f90(x74341),x74342),x74343)))
% 164.74/165.09 [7435]~P67(x74351)+P107(f334(f334(f248(x74351),x74352),f2(x74351)))+P107(f334(f334(f248(x74351),f2(x74351)),x74353))+~P107(f334(f334(f248(x74351),f2(x74351)),f334(f334(f297(x74351),x74353),x74352)))
% 164.74/165.09 [7436]~P67(x74361)+P107(f334(f334(f248(x74361),x74362),f2(x74361)))+P107(f334(f334(f248(x74361),f2(x74361)),x74363))+~P107(f334(f334(f248(x74361),f2(x74361)),f334(f334(f297(x74361),x74362),x74363)))
% 164.74/165.09 [7437]~P127(x74371)+P107(f334(f334(f248(x74371),x74372),f2(x74371)))+P107(f334(f334(f248(x74371),f2(x74371)),x74372))+~P107(f334(f334(f248(x74371),f2(x74371)),f334(f334(f90(x74371),x74373),x74372)))
% 164.74/165.09 [7438]~P127(x74381)+P107(f334(f334(f248(x74381),x74382),f2(x74381)))+P107(f334(f334(f248(x74381),f2(x74381)),x74382))+~P107(f334(f334(f248(x74381),f2(x74381)),f334(f334(f90(x74381),x74382),x74383)))
% 164.74/165.09 [7439]~P67(x74391)+P107(f334(f334(f248(x74391),x74392),f2(x74391)))+P107(f334(f334(f248(x74391),f2(x74391)),x74392))+~P107(f334(f334(f248(x74391),f2(x74391)),f334(f334(f297(x74391),x74393),x74392)))
% 164.74/165.09 [7440]~P67(x74401)+P107(f334(f334(f248(x74401),x74402),f2(x74401)))+P107(f334(f334(f248(x74401),f2(x74401)),x74402))+~P107(f334(f334(f248(x74401),f2(x74401)),f334(f334(f297(x74401),x74402),x74403)))
% 164.74/165.09 [7441]~P67(x74411)+P107(f334(f334(f249(x74411),x74412),f2(x74411)))+P107(f334(f334(f249(x74411),f2(x74411)),x74413))+~P107(f334(f334(f249(x74411),f2(x74411)),f334(f334(f297(x74411),x74413),x74412)))
% 164.74/165.09 [7442]~P67(x74421)+P107(f334(f334(f249(x74421),x74422),f2(x74421)))+P107(f334(f334(f249(x74421),f2(x74421)),x74423))+~P107(f334(f334(f249(x74421),f2(x74421)),f334(f334(f297(x74421),x74422),x74423)))
% 164.74/165.09 [7443]~P67(x74431)+P107(f334(f334(f249(x74431),x74432),f2(x74431)))+P107(f334(f334(f249(x74431),f2(x74431)),x74432))+~P107(f334(f334(f249(x74431),f2(x74431)),f334(f334(f297(x74431),x74433),x74432)))
% 164.74/165.09 [7444]~P67(x74441)+P107(f334(f334(f249(x74441),x74442),f2(x74441)))+P107(f334(f334(f249(x74441),f2(x74441)),x74442))+~P107(f334(f334(f249(x74441),f2(x74441)),f334(f334(f297(x74441),x74442),x74443)))
% 164.74/165.09 [7530]~E(f334(f334(f114(f926(x75301,a913)),f334(f182(x75301),x75302)),f334(f182(x75301),x75303)),f198(f926(x75301,a913)))+~P107(f334(f147(x75301),x75303))+~P107(f334(f147(x75301),x75302))+P107(f334(f147(x75301),f334(f334(f144(x75301),x75302),x75303)))
% 164.74/165.09 [7531]~P110(x75311)+~P107(f334(f70(x75311),x75313))+E(f12(x75311,f246(x75311),f334(f334(f316(x75311),x75312),x75313)),x75312)+~E(f334(f334(f23(f926(x75311,a913)),x75313),f334(f334(f316(x75311),x75312),f198(f926(x75311,a913)))),f198(f926(x75311,a913)))
% 164.74/165.09 [7532]~P110(x75321)+~P107(f334(f70(x75321),x75323))+E(f13(x75321,f247(x75321),f334(f334(f316(x75321),x75322),x75323)),x75322)+~E(f334(f334(f23(f926(x75321,a913)),x75323),f334(f334(f316(x75321),x75322),f198(f926(x75321,a913)))),f198(f926(x75321,a913)))
% 164.74/165.09 [7546]~P91(x75461)+~P107(f334(f334(f248(x75461),x75462),x75463))+~P107(f334(f334(f248(x75461),f334(f88(x75461),x75462)),x75463))+P107(f334(f334(f248(x75461),f334(f84(x75461),x75462)),x75463))
% 164.74/165.09 [7547]~P122(x75471)+~P107(f334(f334(f249(x75471),x75472),x75473))+~P107(f334(f334(f249(x75471),f334(f88(x75471),x75472)),x75473))+P107(f334(f334(f249(x75471),f334(f84(x75471),x75472)),x75473))
% 164.74/165.09 [7615]~P130(x76151)+P107(f334(f334(f249(x76151),f2(x76151)),x76152))+~P107(f334(f334(f249(x76151),f2(x76151)),x76153))+~P107(f334(f334(f249(x76151),f2(x76151)),f334(f334(f90(x76151),x76153),x76152)))
% 164.74/165.09 [7616]~P130(x76161)+P107(f334(f334(f249(x76161),f2(x76161)),x76162))+~P107(f334(f334(f249(x76161),f2(x76161)),x76163))+~P107(f334(f334(f249(x76161),f2(x76161)),f334(f334(f90(x76161),x76162),x76163)))
% 164.74/165.09 [7915]E(x79151,x79152)+~P107(f334(f70(x79153),x79151))+~P107(f334(f334(f248(a919),f334(f44(x79153),x79151)),f334(f44(x79153),x79152)))+~P107(f334(f334(f248(f926(x79153,a913)),x79152),x79151))
% 164.74/165.09 [8061]~P107(f334(f334(f249(a1),x80611),f2(a1)))+~P107(f334(f334(f249(a1),f2(a1)),x80612))+~P107(f334(f334(f248(a1),x80612),x80613))+P107(f334(f334(f248(a1),f334(f334(f45(a1),x80611),x80612)),f334(f334(f45(a1),x80611),x80613)))
% 164.74/165.09 [8071]~P107(f334(f334(f248(a1),f2(a1)),x80711))+~P107(f334(f334(f249(a1),f2(a1)),x80713))+~P107(f334(f334(f248(a1),x80713),x80712))+P107(f334(f334(f248(a1),f334(f334(f45(a1),x80711),x80712)),f334(f334(f45(a1),x80711),x80713)))
% 164.74/165.09 [8210]E(f334(x82101,f614(x82102,x82101,x82103)),x82102)+~P107(f334(f334(f248(a1),x82102),f334(x82101,x82103)))+P107(f334(f334(f249(a919),f615(x82102,x82101,x82103)),x82103))+~P107(f334(f334(f248(a1),f334(x82101,f2(a919))),x82102))
% 164.74/165.09 [8211]E(f334(x82111,f618(x82112,x82111,x82113)),x82112)+~P107(f334(f334(f248(a1),x82112),f334(x82111,x82113)))+P107(f334(f334(f249(a919),f619(x82112,x82111,x82113)),x82113))+~P107(f334(f334(f248(a1),f334(x82111,f2(a919))),x82112))
% 164.74/165.09 [8311]~P107(f334(f70(x83111),x83113))+~P107(f334(f334(f249(a919),f334(f44(x83111),x83112)),f334(f44(x83111),x83113)))+~P107(f334(f334(f248(f926(x83111,a913)),x83112),x83113))+P107(f334(f334(f249(f926(x83111,a913)),x83112),x83113))
% 164.74/165.09 [8338]E(f334(f334(f89(a1),f555(x83383,x83381,x83382)),f556(x83383,x83381,x83382)),x83381)+E(f334(f334(f23(a1),x83381),x83382),x83381)+~P107(f334(f334(f249(a1),f2(a1)),x83382))+~P107(f334(f334(f336(a1),f334(f334(f23(a1),x83381),f87(a1))),x83383))
% 164.74/165.09 [8339]E(f334(f334(f23(a1),f567(x83393,x83391,x83392)),f568(x83393,x83391,x83392)),x83391)+E(f334(f334(f89(a1),x83391),x83392),x83391)+~P107(f334(f334(f249(a1),f2(a1)),x83392))+~P107(f334(f334(f336(a1),f334(f334(f89(a1),x83391),f87(a1))),x83393))
% 164.74/165.09 [8391]~P107(f334(f334(f248(a919),x83913),x83911))+P107(f334(f334(f248(a919),x83911),x83912))+~P107(f334(f334(f248(a919),x83913),x83912))+~P107(f334(f334(f248(a919),f334(f334(f23(a919),x83911),x83913)),f334(f334(f23(a919),x83912),x83913)))
% 164.74/165.09 [8392]~P107(f334(f334(f248(a919),x83923),x83921))+P107(f334(f334(f249(a919),x83921),x83922))+~P107(f334(f334(f248(a919),x83923),x83922))+~P107(f334(f334(f249(a919),f334(f334(f23(a919),x83921),x83923)),f334(f334(f23(a919),x83922),x83923)))
% 164.74/165.09 [8410]~P110(x84102)+E(x84101,f126(x84102))+~P12(x84102,f334(f178(x84102),x84101))+E(f334(f152(x84102,x84102,f334(f7(x84102,x84102,x84102),f247(x84102)),x84103),f334(f178(x84102),x84101)),f334(f334(f247(x84102),f334(f334(f174(x84102),x84101),f2(a919))),x84103))
% 164.74/165.09 [8478]E(f334(f334(f23(a1),x84781),x84782),x84781)+~P107(f334(f334(f249(a1),f2(a1)),x84782))+P107(f334(f334(f336(a1),f555(x84783,x84781,x84782)),x84783))+~P107(f334(f334(f336(a1),f334(f334(f23(a1),x84781),f87(a1))),x84783))
% 164.74/165.09 [8479]E(f334(f334(f89(a1),x84791),x84792),x84791)+~P107(f334(f334(f249(a1),f2(a1)),x84792))+P107(f334(f334(f336(a1),f567(x84793,x84791,x84792)),x84793))+~P107(f334(f334(f336(a1),f334(f334(f89(a1),x84791),f87(a1))),x84793))
% 164.74/165.09 [8554]~P107(f334(f334(f248(a1),x85541),f334(x85542,x85543)))+P107(f334(f334(f249(a919),f615(x85541,x85542,x85543)),x85543))+P107(f334(f334(f248(a919),f614(x85541,x85542,x85543)),x85543))+~P107(f334(f334(f248(a1),f334(x85542,f2(a919))),x85541))
% 164.74/165.09 [8555]~P107(f334(f334(f248(a1),x85551),f334(x85552,x85553)))+P107(f334(f334(f249(a919),f619(x85551,x85552,x85553)),x85553))+P107(f334(f334(f248(a919),f618(x85551,x85552,x85553)),x85553))+~P107(f334(f334(f248(a1),f334(x85552,f2(a919))),x85551))
% 164.74/165.09 [8633]E(f334(f334(f23(a1),x86331),x86332),x86331)+~P107(f334(f334(f249(a1),f2(a1)),x86332))+P107(f334(f334(f336(a1),f556(x86333,x86331,x86332)),f310(a1,f87(a1),x86332)))+~P107(f334(f334(f336(a1),f334(f334(f23(a1),x86331),f87(a1))),x86333))
% 164.74/165.09 [8634]E(f334(f334(f89(a1),x86341),x86342),x86341)+~P107(f334(f334(f249(a1),f2(a1)),x86342))+P107(f334(f334(f336(a1),f568(x86343,x86341,x86342)),f310(a1,f87(a1),x86342)))+~P107(f334(f334(f336(a1),f334(f334(f89(a1),x86341),f87(a1))),x86343))
% 164.74/165.09 [8770]~P125(x87701)+~P107(f334(f334(f249(x87701),x87702),f87(x87701)))+~P107(f334(f334(f249(x87701),f2(x87701)),x87702))+P107(f334(f334(f249(x87701),f334(f334(f90(x87701),x87702),f334(f334(f258(x87701),x87702),x87703))),f334(f334(f258(x87701),x87702),x87703)))
% 164.74/165.09 [8864]~P107(f334(x88641,x88642))+P107(f334(x88641,f2(a919)))+~P107(f334(f334(f249(a919),x88642),x88643))+~P107(f334(x88641,f54(a919,f334(a125,f647(x88642,x88641,x88643)),x88643)))
% 164.74/165.09 [9014]E(f610(x90141,x90142,x90143),f2(a919))+P107(f334(f334(x90141,x90143),x90142))+P107(f334(f334(x90141,f610(x90141,x90142,x90143)),f54(a919,f608(x90141,x90142,x90143),f610(x90141,x90142,x90143))))+~P107(f334(f322(f925(a919,a919),a233),f334(f334(f266(a919,a919),x90143),x90142)))
% 164.74/165.09 [9052]~P23(x90521,x90521,x90522,x90523)+E(f334(f317(x90521,x90521,x90522),x90523),x90523)+~P107(f334(f70(x90521),x90523))+~P107(f334(f334(f248(f926(x90521,a913)),f334(f317(x90521,x90521,x90522),x90523)),x90523))
% 164.74/165.09 [9281]P107(f334(f334(x92811,x92812),x92813))+P107(f334(f334(f249(a1),f831(x92811,x92813,x92812)),f832(x92811,x92813,x92812)))+P107(f334(f334(x92811,f831(x92811,x92813,x92812)),f334(f334(f89(a1),f832(x92811,x92813,x92812)),f87(a1))))+~P107(f334(f322(f925(a1,a1),a143),f334(f334(f266(a1,a1),x92812),x92813)))
% 164.74/165.09 [9300]P107(f334(f334(x93001,x93002),x93003))+~P107(f334(f334(f249(a1),f529(x93001,x93003,x93002)),f2(a1)))+P107(f334(f334(x93001,f334(f88(a1),f528(x93001,x93003,x93002))),f334(f88(a1),f529(x93001,x93003,x93002))))+~P107(f334(f322(f925(a1,a1),a235),f334(f334(f266(a1,a1),x93002),x93003)))
% 164.74/165.09 [9490]P107(f334(f334(x94901,x94902),x94903))+P107(f334(f334(x94901,f334(f334(f89(a1),f736(x94901,x94903,x94902)),f87(a1))),f738(x94901,x94903,x94902)))+~P107(f334(f334(f248(a1),f736(x94901,x94903,x94902)),f738(x94901,x94903,x94902)))+~P107(f334(f322(f925(a1,a1),a192),f334(f334(f266(a1,a1),x94902),x94903)))
% 164.74/165.09 [9936]~P2(x99362)+~P2(x99361)+~P107(f334(f66(f925(x99361,x99362)),x99363))+P107(f334(f66(x99361),f334(f334(f8(f926(x99362,a913),a913,x99361),f66(x99362)),f334(f334(f8(f926(x99362,f925(x99361,x99362)),f926(x99362,a913),x99361),f334(f8(f925(x99361,x99362),a913,x99362),x99363)),f266(x99361,x99362)))))
% 164.74/165.09 [9937]~P2(x99372)+~P2(x99371)+~P107(f334(f65(f925(x99371,x99372)),x99373))+P107(f334(f65(x99371),f334(f334(f8(f926(x99372,a913),a913,x99371),f65(x99372)),f334(f334(f8(f926(x99372,f925(x99371,x99372)),f926(x99372,a913),x99371),f334(f8(f925(x99371,x99372),a913,x99372),x99373)),f266(x99371,x99372)))))
% 164.74/165.09 [10033]~P2(x100332)+~P2(x100331)+P107(f334(f66(f925(x100331,x100332)),x100333))+~P107(f334(f66(x100331),f334(f334(f8(f926(x100332,a913),a913,x100331),f66(x100332)),f334(f334(f8(f926(x100332,f925(x100331,x100332)),f926(x100332,a913),x100331),f334(f8(f925(x100331,x100332),a913,x100332),x100333)),f266(x100331,x100332)))))
% 164.74/165.09 [10034]~P2(x100342)+~P2(x100341)+P107(f334(f65(f925(x100341,x100342)),x100343))+~P107(f334(f65(x100341),f334(f334(f8(f926(x100342,a913),a913,x100341),f65(x100342)),f334(f334(f8(f926(x100342,f925(x100341,x100342)),f926(x100342,a913),x100341),f334(f8(f925(x100341,x100342),a913,x100342),x100343)),f266(x100341,x100342)))))
% 164.74/165.09 [10203]E(f334(x102031,f614(x102032,x102031,x102033)),x102032)+~P107(f334(f334(f248(a1),x102032),f334(x102031,x102033)))+~P107(f334(f334(f248(a1),f334(f84(a1),f334(f334(f23(a1),f334(x102031,f334(f334(f89(a919),f615(x102032,x102031,x102033)),f87(a919)))),f334(x102031,f615(x102032,x102031,x102033))))),f87(a1)))+~P107(f334(f334(f248(a1),f334(x102031,f2(a919))),x102032))
% 164.74/165.09 [10204]E(f334(x102041,f618(x102042,x102041,x102043)),x102042)+~P107(f334(f334(f248(a1),x102042),f334(x102041,x102043)))+~P107(f334(f334(f248(a1),f334(f84(a1),f334(f334(f23(a1),f334(x102041,f334(f334(f89(a919),f619(x102042,x102041,x102043)),f87(a919)))),f334(x102041,f619(x102042,x102041,x102043))))),f87(a1)))+~P107(f334(f334(f248(a1),f334(x102041,f2(a919))),x102042))
% 164.74/165.09 [10207]~P107(f334(f334(f248(a1),x102071),f334(x102072,x102073)))+~P107(f334(f334(f248(a1),f334(f84(a1),f334(f334(f23(a1),f334(x102072,f334(f334(f89(a919),f615(x102071,x102072,x102073)),f87(a919)))),f334(x102072,f615(x102071,x102072,x102073))))),f87(a1)))+P107(f334(f334(f248(a919),f614(x102071,x102072,x102073)),x102073))+~P107(f334(f334(f248(a1),f334(x102072,f2(a919))),x102071))
% 164.74/165.09 [10208]~P107(f334(f334(f248(a1),x102081),f334(x102082,x102083)))+~P107(f334(f334(f248(a1),f334(f84(a1),f334(f334(f23(a1),f334(x102082,f334(f334(f89(a919),f619(x102081,x102082,x102083)),f87(a919)))),f334(x102082,f619(x102081,x102082,x102083))))),f87(a1)))+P107(f334(f334(f248(a919),f618(x102081,x102082,x102083)),x102083))+~P107(f334(f334(f248(a1),f334(x102082,f2(a919))),x102081))
% 164.74/165.09 [10264]E(x102641,x102642)+~E(f334(f152(f920(x102643),f920(x102643),f144(x102643),f126(x102643)),x102641),f334(f152(f920(x102643),f920(x102643),f144(x102643),f126(x102643)),x102642))+~E(f334(f199(f920(f920(x102643))),x102641),f334(f199(f920(f920(x102643))),x102642))+~P107(f334(f334(f270(f920(x102643),f920(x102643),a913),f334(f334(f7(f920(x102643),f926(f920(x102643),a919),f926(f920(x102643),a913)),f334(f334(f8(f926(a919,a913),f926(f926(f920(x102643),a919),f926(f920(x102643),a913)),f920(x102643)),f8(a919,a913,f920(x102643))),f334(f334(f8(a919,f926(a919,a913),f920(x102643)),a331),f199(f920(x102643))))),f199(f920(x102643)))),f764(x102641,x102642,x102643)))
% 164.74/165.09 [10265]E(x102651,x102652)+~E(f334(f152(f920(x102653),f920(x102653),f144(x102653),f126(x102653)),x102651),f334(f152(f920(x102653),f920(x102653),f144(x102653),f126(x102653)),x102652))+~E(f334(f199(f920(f920(x102653))),x102651),f334(f199(f920(f920(x102653))),x102652))+~P107(f334(f334(f270(f920(x102653),f920(x102653),a913),f334(f334(f7(f920(x102653),f926(f920(x102653),a919),f926(f920(x102653),a913)),f334(f334(f8(f926(a919,a913),f926(f926(f920(x102653),a919),f926(f920(x102653),a913)),f920(x102653)),f8(a919,a913,f920(x102653))),f334(f334(f8(a919,f926(a919,a913),f920(x102653)),a331),f199(f920(x102653))))),f199(f920(x102653)))),f765(x102652,x102651,x102653)))
% 164.74/165.09 [6949]~E(f87(a919),f2(a919))+~P107(f334(f70(x69491),x69493))+~P107(f334(f70(x69491),x69492))+E(f334(f334(f89(a919),f334(f44(x69491),x69492)),f334(f44(x69491),x69493)),f334(f44(x69491),f334(f334(f123(f926(x69491,a913)),x69492),x69493)))
% 164.74/165.09 [7360]~P103(x73601)+~P107(f334(f70(x73601),x73602))+~P107(f334(f334(f336(x73601),x73603),x73602))+P107(f334(f334(f248(x73601),f334(f72(x73601,f114(x73601)),x73602)),x73603))
% 164.74/165.09 [7361]~P110(x73611)+~P107(f334(f70(x73611),x73612))+~P107(f334(f334(f336(x73611),x73613),x73612))+P107(f334(f334(f248(x73611),f334(f72(x73611,f246(x73611)),x73612)),x73613))
% 164.74/165.09 [7609]~P107(f334(f70(x76091),x76093))+~P107(f334(f70(x76091),x76092))+~E(f334(f334(f114(f926(x76091,a913)),x76092),x76093),f198(f926(x76091,a913)))+E(f334(f334(f89(a919),f334(f44(x76091),x76092)),f334(f44(x76091),x76093)),f334(f44(x76091),f334(f334(f123(f926(x76091,a913)),x76092),x76093)))
% 164.74/165.09 [8397]~P38(x83971,x83973)+~P38(x83971,x83972)+~E(f334(f334(f114(f926(x83971,a913)),f334(f264(x83971,x83971),x83972)),f334(f292(x83971,x83971),x83973)),f198(f926(x83971,a913)))+P38(x83971,f334(f334(f123(f926(f925(x83971,x83971),a913)),x83972),x83973))
% 164.74/165.09 [8490]E(x84901,f334(f334(f45(a919),x84902),x84903))+~P107(f334(f334(f249(a919),f2(a919)),x84903))+~P107(f334(f334(f249(a919),x84902),f334(f334(f90(a919),x84903),f334(a125,x84901))))+~P107(f334(f334(f248(a919),f334(f334(f90(a919),x84903),x84901)),x84902))
% 164.74/165.09 [8631]~P107(f334(f70(x86311),x86312))+~P107(f334(f70(x86311),x86313))+E(f334(f334(f89(a919),f334(f44(x86311),x86312)),f334(f44(x86311),x86313)),f334(f44(x86311),f334(f334(f123(f926(x86311,a913)),x86312),x86313)))+P107(f334(f334(f336(x86311),f470(x86313,x86312,x86311)),f334(f334(f114(f926(x86311,a913)),x86312),x86313)))
% 164.74/165.09 [9026]~P127(x90262)+~E(x90261,f2(x90262))+~E(x90263,f2(x90262))+~P107(f334(f334(f249(x90262),f2(x90262)),f334(f334(f89(x90262),f334(f334(f90(x90262),x90263),x90263)),f334(f334(f90(x90262),x90261),x90261))))
% 164.74/165.09 [9570]~P38(x95701,x95703)+~P38(x95701,x95702)+P38(x95701,f334(f334(f123(f926(f925(x95701,x95701),a913)),x95702),x95703))+~P107(f334(f334(f248(f926(f925(x95701,x95701),a913)),f334(f334(f296(x95701,x95701,x95701),x95702),x95703)),x95702))
% 164.74/165.09 [9709]~P107(f334(x97091,x97093))+~P107(f334(f70(x97092),x97093))+P107(f334(x97091,f198(f926(x97092,a913))))+~P107(f334(x97091,f334(f334(f23(f926(x97092,a913)),f398(x97091,x97093,x97092)),f334(f334(f316(x97092),f399(x97091,x97093,x97092)),f198(f926(x97092,a913))))))
% 164.74/165.09 [8811]~P107(f334(f334(f249(a1),f2(a1)),x88113))+P107(f334(f334(f248(a1),f2(a1)),x88111))+~P107(f334(f334(f249(a1),x88112),x88113))+~P107(f334(f334(f248(a1),f2(a1)),f334(f334(f89(a1),f334(f334(f90(a1),x88113),x88111)),x88112)))
% 164.74/165.09 [8835]~P83(x88351)+~P107(f334(f70(x88351),x88352))+E(f334(f334(f23(f926(x88351,a913)),x88352),f334(f334(f316(x88351),x88353),f198(f926(x88351,a913)))),f198(f926(x88351,a913)))+E(f334(f334(f123(x88351),x88353),f10(x88351,f334(f334(f23(f926(x88351,a913)),x88352),f334(f334(f316(x88351),x88353),f198(f926(x88351,a913)))))),f10(x88351,f334(f334(f316(x88351),x88353),x88352)))
% 164.74/165.09 [8836]~P83(x88361)+~P107(f334(f70(x88361),x88362))+E(f334(f334(f23(f926(x88361,a913)),x88362),f334(f334(f316(x88361),x88363),f198(f926(x88361,a913)))),f198(f926(x88361,a913)))+E(f334(f334(f114(x88361),x88363),f11(x88361,f334(f334(f23(f926(x88361,a913)),x88362),f334(f334(f316(x88361),x88363),f198(f926(x88361,a913)))))),f11(x88361,f334(f334(f316(x88361),x88363),x88362)))
% 164.74/165.09 [8837]~P110(x88371)+~P107(f334(f70(x88371),x88372))+E(f334(f334(f23(f926(x88371,a913)),x88372),f334(f334(f316(x88371),x88373),f198(f926(x88371,a913)))),f198(f926(x88371,a913)))+E(f334(f334(f246(x88371),x88373),f14(x88371,f334(f334(f23(f926(x88371,a913)),x88372),f334(f334(f316(x88371),x88373),f198(f926(x88371,a913)))))),f14(x88371,f334(f334(f316(x88371),x88373),x88372)))
% 164.74/165.09 [8838]~P110(x88381)+~P107(f334(f70(x88381),x88382))+E(f334(f334(f23(f926(x88381,a913)),x88382),f334(f334(f316(x88381),x88383),f198(f926(x88381,a913)))),f198(f926(x88381,a913)))+E(f334(f334(f247(x88381),x88383),f15(x88381,f334(f334(f23(f926(x88381,a913)),x88382),f334(f334(f316(x88381),x88383),f198(f926(x88381,a913)))))),f15(x88381,f334(f334(f316(x88381),x88383),x88382)))
% 164.74/165.09 [8909]~P110(x89091)+~P107(f334(f70(x89091),x89092))+E(f334(f334(f23(f926(x89091,a913)),x89092),f334(f334(f316(x89091),x89093),f198(f926(x89091,a913)))),f198(f926(x89091,a913)))+E(f334(f334(f246(x89091),x89093),f12(x89091,f246(x89091),f334(f334(f23(f926(x89091,a913)),x89092),f334(f334(f316(x89091),x89093),f198(f926(x89091,a913)))))),f12(x89091,f246(x89091),f334(f334(f316(x89091),x89093),x89092)))
% 164.74/165.09 [8910]~P110(x89101)+~P107(f334(f70(x89101),x89102))+E(f334(f334(f23(f926(x89101,a913)),x89102),f334(f334(f316(x89101),x89103),f198(f926(x89101,a913)))),f198(f926(x89101,a913)))+E(f334(f334(f247(x89101),x89103),f13(x89101,f247(x89101),f334(f334(f23(f926(x89101,a913)),x89102),f334(f334(f316(x89101),x89103),f198(f926(x89101,a913)))))),f13(x89101,f247(x89101),f334(f334(f316(x89101),x89103),x89102)))
% 164.74/165.09 [9509]E(x95091,x95092)+~E(f334(f152(f920(x95093),f920(x95093),f144(x95093),f126(x95093)),x95091),f334(f152(f920(x95093),f920(x95093),f144(x95093),f126(x95093)),x95092))+~E(f334(f199(f920(f920(x95093))),x95091),f334(f199(f920(f920(x95093))),x95092))+P107(f334(f334(f336(f925(f920(x95093),f920(x95093))),f764(x95091,x95092,x95093)),f334(f182(f925(f920(x95093),f920(x95093))),f334(f334(f191(f920(x95093),f920(x95093)),x95092),x95091))))
% 164.74/165.09 [9510]E(x95101,x95102)+~E(f334(f152(f920(x95103),f920(x95103),f144(x95103),f126(x95103)),x95101),f334(f152(f920(x95103),f920(x95103),f144(x95103),f126(x95103)),x95102))+~E(f334(f199(f920(f920(x95103))),x95101),f334(f199(f920(f920(x95103))),x95102))+P107(f334(f334(f336(f925(f920(x95103),f920(x95103))),f765(x95102,x95101,x95103)),f334(f182(f925(f920(x95103),f920(x95103))),f334(f334(f191(f920(x95103),f920(x95103)),x95101),x95102))))
% 164.74/165.09 [10367]~P101(x103672)+E(x103671,f198(f926(x103672,a913)))+~P107(f334(f70(x103672),x103671))+E(f11(x103672,f334(f254(x103672),f334(f334(f8(f926(x103672,a913),a913,x103672),f96(x103672)),f334(f334(f7(x103672,f926(x103672,a913),f926(x103672,a913)),f334(f334(f8(f926(x103672,f926(a913,a913)),f926(f926(x103672,a913),f926(x103672,a913)),x103672),f18(x103672,a913,a913)),f334(f334(f8(f926(x103672,a913),f926(x103672,f926(a913,a913)),x103672),f334(f8(a913,f926(a913,a913),x103672),a333)),f334(f334(f7(x103672,f926(x103672,x103672),f926(x103672,a913)),f334(f334(f8(f926(x103672,a913),f926(f926(x103672,x103672),f926(x103672,a913)),x103672),f8(x103672,a913,x103672)),a331)),f334(f123(x103672),x103673))))),f334(f334(f7(x103672,f926(x103672,a913),a913),f336(x103672)),x103671))))),f334(f334(f123(x103672),x103673),f11(x103672,x103671)))
% 164.74/165.09 [10368]~P101(x103682)+E(x103681,f198(f926(x103682,a913)))+~P107(f334(f70(x103682),x103681))+E(f10(x103682,f334(f254(x103682),f334(f334(f8(f926(x103682,a913),a913,x103682),f96(x103682)),f334(f334(f7(x103682,f926(x103682,a913),f926(x103682,a913)),f334(f334(f8(f926(x103682,f926(a913,a913)),f926(f926(x103682,a913),f926(x103682,a913)),x103682),f18(x103682,a913,a913)),f334(f334(f8(f926(x103682,a913),f926(x103682,f926(a913,a913)),x103682),f334(f8(a913,f926(a913,a913),x103682),a333)),f334(f334(f7(x103682,f926(x103682,x103682),f926(x103682,a913)),f334(f334(f8(f926(x103682,a913),f926(f926(x103682,x103682),f926(x103682,a913)),x103682),f8(x103682,a913,x103682)),a331)),f334(f114(x103682),x103683))))),f334(f334(f7(x103682,f926(x103682,a913),a913),f336(x103682)),x103681))))),f334(f334(f114(x103682),x103683),f10(x103682,x103681)))
% 164.74/165.09 [10369]~P77(x103692)+E(x103691,f198(f926(x103692,a913)))+~P107(f334(f70(x103692),x103691))+E(f14(x103692,f334(f254(x103692),f334(f334(f8(f926(x103692,a913),a913,x103692),f96(x103692)),f334(f334(f7(x103692,f926(x103692,a913),f926(x103692,a913)),f334(f334(f8(f926(x103692,f926(a913,a913)),f926(f926(x103692,a913),f926(x103692,a913)),x103692),f18(x103692,a913,a913)),f334(f334(f8(f926(x103692,a913),f926(x103692,f926(a913,a913)),x103692),f334(f8(a913,f926(a913,a913),x103692),a333)),f334(f334(f7(x103692,f926(x103692,x103692),f926(x103692,a913)),f334(f334(f8(f926(x103692,a913),f926(f926(x103692,x103692),f926(x103692,a913)),x103692),f8(x103692,a913,x103692)),a331)),f334(f89(x103692),x103693))))),f334(f334(f7(x103692,f926(x103692,a913),a913),f336(x103692)),x103691))))),f334(f334(f89(x103692),x103693),f14(x103692,x103691)))
% 164.74/165.09 [10370]~P77(x103702)+E(x103701,f198(f926(x103702,a913)))+~P107(f334(f70(x103702),x103701))+E(f15(x103702,f334(f254(x103702),f334(f334(f8(f926(x103702,a913),a913,x103702),f96(x103702)),f334(f334(f7(x103702,f926(x103702,a913),f926(x103702,a913)),f334(f334(f8(f926(x103702,f926(a913,a913)),f926(f926(x103702,a913),f926(x103702,a913)),x103702),f18(x103702,a913,a913)),f334(f334(f8(f926(x103702,a913),f926(x103702,f926(a913,a913)),x103702),f334(f8(a913,f926(a913,a913),x103702),a333)),f334(f334(f7(x103702,f926(x103702,x103702),f926(x103702,a913)),f334(f334(f8(f926(x103702,a913),f926(f926(x103702,x103702),f926(x103702,a913)),x103702),f8(x103702,a913,x103702)),a331)),f334(f89(x103702),x103703))))),f334(f334(f7(x103702,f926(x103702,a913),a913),f336(x103702)),x103701))))),f334(f334(f89(x103702),x103703),f15(x103702,x103701)))
% 164.74/165.09 [10371]~P110(x103712)+E(x103711,f198(f926(x103712,a913)))+~P107(f334(f70(x103712),x103711))+E(f13(x103712,f247(x103712),f334(f254(x103712),f334(f334(f8(f926(x103712,a913),a913,x103712),f96(x103712)),f334(f334(f7(x103712,f926(x103712,a913),f926(x103712,a913)),f334(f334(f8(f926(x103712,f926(a913,a913)),f926(f926(x103712,a913),f926(x103712,a913)),x103712),f18(x103712,a913,a913)),f334(f334(f8(f926(x103712,a913),f926(x103712,f926(a913,a913)),x103712),f334(f8(a913,f926(a913,a913),x103712),a333)),f334(f334(f7(x103712,f926(x103712,x103712),f926(x103712,a913)),f334(f334(f8(f926(x103712,a913),f926(f926(x103712,x103712),f926(x103712,a913)),x103712),f8(x103712,a913,x103712)),a331)),f334(f246(x103712),x103713))))),f334(f334(f7(x103712,f926(x103712,a913),a913),f336(x103712)),x103711))))),f334(f334(f246(x103712),x103713),f13(x103712,f247(x103712),x103711)))
% 164.74/165.09 [10372]~P110(x103722)+E(x103721,f198(f926(x103722,a913)))+~P107(f334(f70(x103722),x103721))+E(f12(x103722,f246(x103722),f334(f254(x103722),f334(f334(f8(f926(x103722,a913),a913,x103722),f96(x103722)),f334(f334(f7(x103722,f926(x103722,a913),f926(x103722,a913)),f334(f334(f8(f926(x103722,f926(a913,a913)),f926(f926(x103722,a913),f926(x103722,a913)),x103722),f18(x103722,a913,a913)),f334(f334(f8(f926(x103722,a913),f926(x103722,f926(a913,a913)),x103722),f334(f8(a913,f926(a913,a913),x103722),a333)),f334(f334(f7(x103722,f926(x103722,x103722),f926(x103722,a913)),f334(f334(f8(f926(x103722,a913),f926(f926(x103722,x103722),f926(x103722,a913)),x103722),f8(x103722,a913,x103722)),a331)),f334(f247(x103722),x103723))))),f334(f334(f7(x103722,f926(x103722,a913),a913),f336(x103722)),x103721))))),f334(f334(f247(x103722),x103723),f12(x103722,f246(x103722),x103721)))
% 164.74/165.09 [10107]~P122(x101071)+~E(x101073,f2(x101071))+~E(x101072,f2(x101071))+E(f334(f334(f89(x101071),f334(f334(f258(x101071),x101072),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f334(f258(x101071),x101073),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f2(x101071))
% 164.74/165.09 [10248]~P125(x102481)+~P107(f334(f334(f248(x102481),f2(x102481)),x102483))+P107(f334(f334(f248(x102481),x102482),x102483))+~P107(f334(f334(f248(x102481),f334(f334(f258(x102481),x102482),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f334(f258(x102481),x102483),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))))
% 164.74/165.09 [10299]~P122(x102992)+~E(x102991,f2(x102992))+~E(x102993,f2(x102992))+~P107(f334(f334(f249(x102992),f2(x102992)),f334(f334(f89(x102992),f334(f334(f258(x102992),x102993),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110))))),f334(f334(f258(x102992),x102991),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))))
% 164.74/165.09 [8745]P24(x87451,x87452,f444(x87453,x87452,x87454,x87451),x87454,x87453)+~E(f334(f44(x87451),x87454),f334(f44(x87452),x87453))+~P107(f334(f70(x87452),x87453))+~P107(f334(f70(x87451),x87454))
% 164.74/165.09 [9469]E(x94691,x94692)+~E(f721(x94691,x94692,x94694,x94693),f723(x94691,x94692,x94694,x94693))+P107(f334(f334(f336(f925(f920(x94693),f920(x94693))),f334(f334(f266(f920(x94693),f920(x94693)),x94692),x94691)),f157(x94693,x94694)))+P107(f334(f334(f336(f925(f920(x94693),f920(x94693))),f334(f334(f266(f920(x94693),f920(x94693)),x94691),x94692)),f157(x94693,x94694)))
% 164.74/165.09 [5014]~P65(x50142)+~E(x50144,f2(x50142))+~E(x50141,f2(x50142))+E(x50141,f334(f334(f297(x50142),x50143),x50144))
% 164.74/165.09 [5015]~P65(x50151)+~E(x50153,f2(x50151))+~E(x50154,f2(x50151))+E(f334(f334(f297(x50151),x50152),x50153),x50154)
% 164.74/165.09 [5124]~P65(x51242)+E(x51241,f2(x51242))+~E(x51243,f2(x51242))+~E(x51241,f334(f334(f297(x51242),x51244),x51243))
% 164.74/165.09 [5125]~P65(x51252)+E(x51251,f2(x51252))+~E(x51253,f2(x51252))+~E(f334(f334(f297(x51252),x51254),x51253),x51251)
% 164.74/165.09 [5301]~P120(x53012)+E(x53011,f2(x53012))+~E(f334(f334(f297(x53012),x53013),x53011),x53014)+E(x53013,f334(f334(f90(x53012),x53014),x53011))
% 164.74/165.09 [5303]~P120(x53032)+E(x53031,f2(x53032))+~E(f334(f334(f90(x53032),x53033),x53031),x53034)+E(x53033,f334(f334(f297(x53032),x53034),x53031))
% 164.74/165.09 [5304]~P65(x53042)+E(x53041,f2(x53042))+~E(f334(f334(f297(x53042),x53043),x53041),x53044)+E(x53043,f334(f334(f90(x53042),x53044),x53041))
% 164.74/165.09 [5305]~P65(x53052)+E(x53051,f2(x53052))+~E(f334(f334(f90(x53052),x53053),x53051),x53054)+E(x53053,f334(f334(f297(x53052),x53054),x53051))
% 164.74/165.09 [5306]~P120(x53062)+E(x53061,f2(x53062))+~E(x53063,f334(f334(f297(x53062),x53064),x53061))+E(f334(f334(f90(x53062),x53063),x53061),x53064)
% 164.74/165.09 [5308]~P120(x53082)+E(x53081,f2(x53082))+~E(x53083,f334(f334(f90(x53082),x53084),x53081))+E(f334(f334(f297(x53082),x53083),x53081),x53084)
% 164.74/165.09 [5309]~P65(x53092)+E(x53091,f2(x53092))+~E(x53093,f334(f334(f297(x53092),x53094),x53091))+E(f334(f334(f90(x53092),x53093),x53091),x53094)
% 164.74/165.09 [5310]~P65(x53102)+E(x53101,f2(x53102))+~E(x53103,f334(f334(f90(x53102),x53104),x53101))+E(f334(f334(f297(x53102),x53103),x53101),x53104)
% 164.74/165.09 [5342]~P65(x53422)+~E(x53421,f2(x53422))+~E(f334(f334(f90(x53422),x53421),x53424),x53423)+E(x53421,f334(f334(f297(x53422),x53423),x53424))
% 164.74/165.09 [5343]~P65(x53431)+~E(x53434,f2(x53431))+~E(x53432,f334(f334(f90(x53431),x53434),x53433))+E(f334(f334(f297(x53431),x53432),x53433),x53434)
% 164.74/165.09 [5416]~E(x54163,x54164)+~E(x54162,x54163)+~P111(x54161)+E(f310(x54161,x54162,x54163),f334(f334(f316(x54161),x54164),f198(f926(x54161,a913))))
% 164.74/165.09 [5613]~E(f127(x56132,x56131),x56133)+~E(f154(x56132,x56131),x56134)+E(x56131,f126(x56132))+E(f334(f334(f144(x56132),x56133),f334(f334(f161(x56132),x56134),f126(x56132))),x56131)
% 164.74/165.09 [6231]~P125(x62313)+E(x62311,x62312)+~E(f334(f334(f258(x62313),x62314),x62311),f334(f334(f258(x62313),x62314),x62312))+~P107(f334(f334(f249(x62313),f87(x62313)),x62314))
% 164.74/165.09 [6232]E(x62321,x62322)+~E(f334(f334(f316(x62323),x62324),x62321),f334(f334(f316(x62323),x62324),x62322))+P107(f334(f334(f336(x62323),x62324),x62322))+P107(f334(f334(f336(x62323),x62324),x62321))
% 164.74/165.09 [6272]E(f334(x62721,x62722),f87(a919))+~E(f334(f334(f9(x62723,a919),x62721),x62724),f87(a919))+~P107(f334(f70(x62723),x62724))+~P107(f334(f334(f336(x62723),x62722),x62724))
% 164.74/165.09 [6273]E(f334(x62731,x62732),f2(a919))+~E(f334(f334(f6(x62733,a919),x62731),x62734),f2(a919))+~P107(f334(f70(x62733),x62734))+~P107(f334(f334(f336(x62733),x62732),x62734))
% 164.74/165.09 [6490]~P111(x64901)+~P107(f334(f334(f248(x64901),x64904),x64903))+P107(f334(f334(f248(x64901),x64902),x64903))+~P107(f334(f334(f248(x64901),x64902),x64904))
% 164.74/165.09 [6491]~P108(x64911)+~P107(f334(f334(f248(x64911),x64912),x64914))+P107(f334(f334(f248(x64911),x64912),x64913))+~P107(f334(f334(f248(x64911),x64914),x64913))
% 164.74/165.09 [6492]~P111(x64921)+~P107(f334(f334(f249(x64921),x64924),x64923))+P107(f334(f334(f249(x64921),x64922),x64923))+~P107(f334(f334(f248(x64921),x64922),x64924))
% 164.74/165.09 [6493]~P111(x64931)+~P107(f334(f334(f249(x64931),x64932),x64934))+P107(f334(f334(f249(x64931),x64932),x64933))+~P107(f334(f334(f248(x64931),x64934),x64933))
% 164.74/165.09 [6494]~P111(x64941)+~P107(f334(f334(f249(x64941),x64944),x64943))+P107(f334(f334(f249(x64941),x64942),x64943))+~P107(f334(f334(f249(x64941),x64942),x64944))
% 164.74/165.09 [6495]~P108(x64951)+~P107(f334(f334(f249(x64951),x64952),x64954))+P107(f334(f334(f249(x64951),x64952),x64953))+~P107(f334(f334(f248(x64951),x64954),x64953))
% 164.74/165.09 [6496]~P108(x64961)+~P107(f334(f334(f249(x64961),x64964),x64963))+P107(f334(f334(f249(x64961),x64962),x64963))+~P107(f334(f334(f248(x64961),x64962),x64964))
% 164.74/165.09 [6497]~P108(x64971)+~P107(f334(f334(f249(x64971),x64972),x64974))+P107(f334(f334(f249(x64971),x64972),x64973))+~P107(f334(f334(f249(x64971),x64974),x64973))
% 164.74/165.09 [6580]~P36(x65804,x65803,x65802)+E(x65801,f813(x65802,x65803,x65804))+~P107(f334(x65803,x65801))+~P107(f334(f334(f336(x65804),x65801),f334(f182(x65804),x65802)))
% 164.74/165.09 [6581]~P36(x65814,x65813,x65812)+E(x65811,f825(x65812,x65813,x65814))+~P107(f334(x65813,x65811))+~P107(f334(f334(f336(x65814),x65811),f334(f182(x65814),x65812)))
% 164.74/165.09 [6729]~P3(x67291)+~P107(f334(f334(f248(x67291),x67292),f47(x67291,x67294)))+P107(f334(f334(f248(x67291),x67292),x67293))+~P107(f334(f334(f336(x67291),x67293),x67294))
% 164.74/165.09 [6872]~P110(x68721)+~P12(x68721,f334(f334(f161(x68721),x68722),x68724))+~P107(f334(f334(f336(x68721),x68723),f334(f182(x68721),x68724)))+P107(f334(f334(f248(x68721),x68722),x68723))
% 164.74/165.09 [6960]~P3(x69601)+~P107(f334(f334(f248(x69601),f46(x69601,x69604)),x69603))+P107(f334(f334(f248(x69601),x69602),x69603))+~P107(f334(f334(f336(x69601),x69602),x69604))
% 164.74/165.09 [7363]~P110(x73631)+E(f334(f334(f123(f926(x73631,a913)),f334(f309(x73631,x73632),x73633)),f334(f309(x73631,x73633),x73634)),f334(f309(x73631,x73632),x73634))+~P107(f334(f334(f248(x73631),x73633),x73634))+~P107(f334(f334(f248(x73631),x73632),x73633))
% 164.74/165.09 [7404]P36(x74041,x74042,x74043)+~E(f827(x74043,x74042,x74041,x74044),x74044)+~P107(f334(x74042,x74044))+~P107(f334(f334(f336(x74041),x74044),f334(f182(x74041),x74043)))
% 164.74/165.09 [7405]P36(x74051,x74052,x74053)+~E(f835(x74053,x74052,x74051,x74054),x74054)+~P107(f334(x74052,x74054))+~P107(f334(f334(f336(x74051),x74054),f334(f182(x74051),x74053)))
% 164.74/165.09 [7478]~P110(x74781)+E(f334(f334(f123(f926(x74781,a913)),f334(f309(x74781,x74782),x74783)),f310(x74781,x74783,x74784)),f310(x74781,x74782,x74784))+~P107(f334(f334(f248(x74781),x74783),x74784))+~P107(f334(f334(f248(x74781),x74782),x74783))
% 164.74/165.09 [7541]~P110(x75411)+E(f334(f334(f123(f926(x75411,a913)),f313(x75411,x75412,x75413)),f334(f309(x75411,x75413),x75414)),f313(x75411,x75412,x75414))+~P107(f334(f334(f248(x75411),x75413),x75414))+~P107(f334(f334(f249(x75411),x75412),x75413))
% 164.74/165.09 [7558]~P110(x75581)+E(f334(f334(f123(f926(x75581,a913)),f310(x75581,x75582,x75583)),f313(x75581,x75583,x75584)),f334(f309(x75581,x75582),x75584))+~P107(f334(f334(f248(x75581),x75582),x75583))+~P107(f334(f334(f249(x75581),x75583),x75584))
% 164.74/165.09 [7589]~P110(x75891)+E(f334(f334(f123(f926(x75891,a913)),f313(x75891,x75892,x75893)),f310(x75891,x75893,x75894)),f312(x75891,x75892,x75894))+~P107(f334(f334(f248(x75891),x75893),x75894))+~P107(f334(f334(f249(x75891),x75892),x75893))
% 164.74/165.09 [7590]~P110(x75901)+E(f334(f334(f123(f926(x75901,a913)),f312(x75901,x75902,x75903)),f313(x75901,x75903,x75904)),f313(x75901,x75902,x75904))+~P107(f334(f334(f248(x75901),x75902),x75903))+~P107(f334(f334(f249(x75901),x75903),x75904))
% 164.74/165.09 [7591]~P110(x75911)+E(f334(f334(f123(f926(x75911,a913)),f312(x75911,x75912,x75913)),f312(x75911,x75913,x75914)),f312(x75911,x75912,x75914))+~P107(f334(f334(f248(x75911),x75913),x75914))+~P107(f334(f334(f248(x75911),x75912),x75913))
% 164.74/165.09 [7592]~P110(x75921)+E(f334(f334(f123(f926(x75921,a913)),f310(x75921,x75922,x75923)),f312(x75921,x75923,x75924)),f310(x75921,x75922,x75924))+~P107(f334(f334(f248(x75921),x75923),x75924))+~P107(f334(f334(f248(x75921),x75922),x75923))
% 164.74/165.09 [8381]P23(x83811,x83812,f452(x83813,x83812,x83814,x83811),x83814)+~P107(f334(f70(x83812),x83813))+~P107(f334(f70(x83811),x83814))+~P107(f334(f334(f248(a919),f334(f44(x83811),x83814)),f334(f44(x83812),x83813)))
% 164.74/165.09 [8402]P36(x84021,x84022,x84023)+~P107(f334(x84022,x84024))+P107(f334(x84022,f827(x84023,x84022,x84021,x84024)))+~P107(f334(f334(f336(x84021),x84024),f334(f182(x84021),x84023)))
% 164.74/165.09 [8403]P36(x84031,x84032,x84033)+~P107(f334(x84032,x84034))+P107(f334(x84032,f835(x84033,x84032,x84031,x84034)))+~P107(f334(f334(f336(x84031),x84034),f334(f182(x84031),x84033)))
% 164.74/165.09 [8456]~P76(x84561)+~E(f334(x84563,f646(x84563,x84564,x84562,x84561)),f87(x84561))+E(f334(f334(f334(f74(x84561,x84562,f90(x84561)),x84563),f87(x84561)),x84564),f87(x84561))+~P107(f334(f70(x84562),x84564))
% 164.74/165.09 [8734]~P125(x87341)+~P107(f334(f334(f248(x87341),f2(x87341)),x87343))+P107(f334(f334(f248(x87341),x87342),x87343))+~P107(f334(f334(f248(x87341),f334(f334(f258(x87341),x87342),f334(a125,x87344))),f334(f334(f258(x87341),x87343),f334(a125,x87344))))
% 164.74/165.09 [9053]P36(x90531,x90532,x90533)+~P107(f334(x90532,x90534))+~P107(f334(f334(f336(x90531),x90534),f334(f182(x90531),x90533)))+P107(f334(f334(f336(x90531),f827(x90533,x90532,x90531,x90534)),f334(f182(x90531),x90533)))
% 164.74/165.09 [9054]P36(x90541,x90542,x90543)+~P107(f334(x90542,x90544))+~P107(f334(f334(f336(x90541),x90544),f334(f182(x90541),x90543)))+P107(f334(f334(f336(x90541),f835(x90543,x90542,x90541,x90544)),f334(f182(x90541),x90543)))
% 164.74/165.09 [9139]~P76(x91391)+E(f334(f334(f334(f74(x91391,x91392,f90(x91391)),x91393),f87(x91391)),x91394),f87(x91391))+~P107(f334(f70(x91392),x91394))+P107(f334(f334(f336(x91392),f646(x91393,x91394,x91392,x91391)),x91394))
% 164.74/165.09 [9642]~P107(f334(f334(f248(a1),x96424),f2(a1)))+P107(f334(f334(f248(a1),f334(f334(f89(a1),f334(f334(f90(a1),x96421),f54(a1,x96422,x96423))),x96424)),f2(a1)))+~P107(f334(f334(f249(a1),f2(a1)),x96423))+~P107(f334(f334(f249(a1),x96421),x96424))
% 164.74/165.09 [10098]~P107(f334(f70(x100981),x100982))+~P107(f334(f334(f336(x100981),x100984),x100982))+~P107(f334(f334(f336(x100981),x100983),x100982))+P107(f334(f334(f249(a919),f334(f44(x100981),f334(f334(f23(f926(x100981,a913)),f334(f334(f23(f926(x100981,a913)),x100982),f334(f334(f316(x100981),x100983),f198(f926(x100981,a913))))),f334(f334(f316(x100981),x100984),f198(f926(x100981,a913)))))),f334(f44(x100981),x100982)))
% 164.74/165.09 [7073]~P103(x70731)+~P107(f334(f334(f248(x70731),x70732),x70734))+~P107(f334(f334(f248(x70731),x70732),x70733))+P107(f334(f334(f248(x70731),x70732),f334(f334(f114(x70731),x70733),x70734)))
% 164.74/165.09 [7076]~P110(x70761)+~P107(f334(f334(f248(x70761),x70762),x70764))+~P107(f334(f334(f248(x70761),x70762),x70763))+P107(f334(f334(f248(x70761),x70762),f334(f334(f246(x70761),x70763),x70764)))
% 164.74/165.09 [7077]~P110(x70771)+~P107(f334(f334(f249(x70771),x70772),x70774))+~P107(f334(f334(f249(x70771),x70772),x70773))+P107(f334(f334(f249(x70771),x70772),f334(f334(f246(x70771),x70773),x70774)))
% 164.74/165.09 [7096]~P66(x70962)+E(x70961,f2(x70962))+E(f334(f334(f297(x70962),f334(f334(f258(x70962),x70961),x70963)),f334(f334(f258(x70962),x70961),x70964)),f334(f334(f258(x70962),x70961),f334(f334(f23(a919),x70963),x70964)))+~P107(f334(f334(f248(a919),x70964),x70963))
% 164.74/165.09 [7140]~P110(x71401)+~P12(x71401,f334(f334(f161(x71401),x71403),x71404))+P12(x71401,f334(f334(f161(x71401),x71402),f334(f334(f161(x71401),x71403),x71404)))+~P107(f334(f334(f248(x71401),x71402),x71403))
% 164.74/165.09 [7178]~P92(x71781)+~P107(f334(f334(f248(x71781),f2(x71781)),x71784))+~P107(f334(f334(f248(x71781),x71782),x71783))+P107(f334(f334(f248(x71781),x71782),f334(f334(f89(x71781),x71783),x71784)))
% 164.74/165.09 [7179]~P92(x71791)+~P107(f334(f334(f248(x71791),f2(x71791)),x71793))+~P107(f334(f334(f248(x71791),x71792),x71794))+P107(f334(f334(f248(x71791),x71792),f334(f334(f89(x71791),x71793),x71794)))
% 164.74/165.09 [7180]~P125(x71801)+~P107(f334(f334(f249(x71801),f2(x71801)),x71803))+~P107(f334(f334(f249(x71801),x71802),x71804))+P107(f334(f334(f249(x71801),x71802),f334(f334(f89(x71801),x71803),x71804)))
% 164.74/165.09 [7181]~P92(x71811)+~P107(f334(f334(f248(x71811),x71812),x71814))+~P107(f334(f334(f249(x71811),f2(x71811)),x71813))+P107(f334(f334(f249(x71811),x71812),f334(f334(f89(x71811),x71813),x71814)))
% 164.74/165.09 [7182]~P92(x71821)+~P107(f334(f334(f248(x71821),f2(x71821)),x71823))+~P107(f334(f334(f249(x71821),x71822),x71824))+P107(f334(f334(f249(x71821),x71822),f334(f334(f89(x71821),x71823),x71824)))
% 164.74/165.09 [7223]~P110(x72231)+P107(f334(f334(f248(x72231),x72232),x72233))+P107(f334(f334(f248(x72231),x72232),x72234))+~P107(f334(f334(f248(x72231),x72232),f334(f334(f247(x72231),x72234),x72233)))
% 164.74/165.09 [7224]~P110(x72241)+P107(f334(f334(f249(x72241),x72242),x72243))+P107(f334(f334(f249(x72241),x72242),x72244))+~P107(f334(f334(f249(x72241),x72242),f334(f334(f247(x72241),x72244),x72243)))
% 164.74/165.09 [7514]~P111(x75142)+~P2(x75141)+~P107(f334(f334(f249(f926(x75141,x75142)),x75143),x75144))+P107(f334(f334(f248(f926(x75141,x75142)),x75143),x75144))
% 164.74/165.09 [7875]~P68(x78751)+~P107(f334(f334(f249(x78751),x78754),f2(x78751)))+~P107(f334(f334(f248(x78751),x78753),f334(f334(f297(x78751),x78752),x78754)))+P107(f334(f334(f248(x78751),x78752),f334(f334(f90(x78751),x78753),x78754)))
% 164.74/165.09 [7876]~P68(x78761)+~P107(f334(f334(f249(x78761),x78764),f2(x78761)))+~P107(f334(f334(f248(x78761),x78763),f334(f334(f90(x78761),x78762),x78764)))+P107(f334(f334(f248(x78761),x78762),f334(f334(f297(x78761),x78763),x78764)))
% 164.74/165.09 [7877]~P68(x78771)+~P107(f334(f334(f249(x78771),x78774),f2(x78771)))+~P107(f334(f334(f249(x78771),x78773),f334(f334(f297(x78771),x78772),x78774)))+P107(f334(f334(f249(x78771),x78772),f334(f334(f90(x78771),x78773),x78774)))
% 164.74/165.09 [7878]~P68(x78781)+~P107(f334(f334(f249(x78781),x78784),f2(x78781)))+~P107(f334(f334(f249(x78781),x78783),f334(f334(f90(x78781),x78782),x78784)))+P107(f334(f334(f249(x78781),x78782),f334(f334(f297(x78781),x78783),x78784)))
% 164.74/165.09 [7986]~P128(x79861)+~P107(f334(f334(f248(x79861),x79862),f2(x79861)))+~P107(f334(f334(f248(x79861),x79864),x79863))+P107(f334(f334(f248(x79861),f334(f334(f90(x79861),x79862),x79863)),f334(f334(f90(x79861),x79862),x79864)))
% 164.74/165.09 [7987]~P127(x79871)+~P107(f334(f334(f249(x79871),x79872),f2(x79871)))+~P107(f334(f334(f248(x79871),x79874),x79873))+P107(f334(f334(f248(x79871),f334(f334(f90(x79871),x79872),x79873)),f334(f334(f90(x79871),x79872),x79874)))
% 164.74/165.09 [7988]~P128(x79881)+~P107(f334(f334(f248(x79881),x79883),f2(x79881)))+~P107(f334(f334(f248(x79881),x79884),x79882))+P107(f334(f334(f248(x79881),f334(f334(f90(x79881),x79882),x79883)),f334(f334(f90(x79881),x79884),x79883)))
% 164.74/165.09 [7989]~P67(x79891)+~P107(f334(f334(f248(x79891),x79893),f2(x79891)))+~P107(f334(f334(f248(x79891),x79894),x79892))+P107(f334(f334(f248(x79891),f334(f334(f297(x79891),x79892),x79893)),f334(f334(f297(x79891),x79894),x79893)))
% 164.74/165.09 [7993]~P127(x79931)+~P107(f334(f334(f249(x79931),x79933),f2(x79931)))+~P107(f334(f334(f249(x79931),x79934),x79932))+P107(f334(f334(f249(x79931),f334(f334(f90(x79931),x79932),x79933)),f334(f334(f90(x79931),x79934),x79933)))
% 164.74/165.09 [7994]~P127(x79941)+~P107(f334(f334(f249(x79941),x79942),f2(x79941)))+~P107(f334(f334(f249(x79941),x79944),x79943))+P107(f334(f334(f249(x79941),f334(f334(f90(x79941),x79942),x79943)),f334(f334(f90(x79941),x79942),x79944)))
% 164.74/165.09 [7995]~P68(x79951)+~P107(f334(f334(f249(x79951),x79953),f2(x79951)))+~P107(f334(f334(f249(x79951),x79954),x79952))+P107(f334(f334(f249(x79951),f334(f334(f297(x79951),x79952),x79953)),f334(f334(f297(x79951),x79954),x79953)))
% 164.74/165.09 [7996]~P125(x79961)+~P107(f334(f334(f249(x79961),f87(x79961)),x79962))+~P107(f334(f334(f248(a919),x79963),x79964))+P107(f334(f334(f248(x79961),f334(f334(f258(x79961),x79962),x79963)),f334(f334(f258(x79961),x79962),x79964)))
% 164.74/165.09 [7997]~P125(x79971)+~P107(f334(f334(f248(x79971),f87(x79971)),x79972))+~P107(f334(f334(f248(a919),x79973),x79974))+P107(f334(f334(f248(x79971),f334(f334(f258(x79971),x79972),x79973)),f334(f334(f258(x79971),x79972),x79974)))
% 164.74/165.09 [7999]~P125(x79991)+~P107(f334(f334(f249(x79991),f87(x79991)),x79992))+~P107(f334(f334(f249(a919),x79993),x79994))+P107(f334(f334(f249(x79991),f334(f334(f258(x79991),x79992),x79993)),f334(f334(f258(x79991),x79992),x79994)))
% 164.74/165.09 [8026]P107(f334(f334(f249(a919),f2(a919)),f334(x80261,x80262)))+~P107(f334(f70(x80263),x80264))+~P107(f334(f334(f336(x80263),x80262),x80264))+~P107(f334(f334(f249(a919),f2(a919)),f334(f334(f9(x80263,a919),x80261),x80264)))
% 164.74/165.09 [8035]~P127(x80351)+~P107(f334(f334(f249(x80351),f2(x80351)),x80352))+~P107(f334(f334(f248(x80351),x80353),x80354))+P107(f334(f334(f248(x80351),f334(f334(f90(x80351),x80352),x80353)),f334(f334(f90(x80351),x80352),x80354)))
% 164.74/165.09 [8036]~P137(x80361)+~P107(f334(f334(f248(x80361),x80363),x80364))+~P107(f334(f334(f248(x80361),f2(x80361)),x80362))+P107(f334(f334(f248(x80361),f334(f334(f90(x80361),x80362),x80363)),f334(f334(f90(x80361),x80362),x80364)))
% 164.74/165.09 [8037]~P136(x80371)+~P107(f334(f334(f248(x80371),x80373),x80374))+~P107(f334(f334(f248(x80371),f2(x80371)),x80372))+P107(f334(f334(f248(x80371),f334(f334(f90(x80371),x80372),x80373)),f334(f334(f90(x80371),x80372),x80374)))
% 164.74/165.09 [8038]~P137(x80381)+~P107(f334(f334(f248(x80381),x80382),x80384))+~P107(f334(f334(f248(x80381),f2(x80381)),x80383))+P107(f334(f334(f248(x80381),f334(f334(f90(x80381),x80382),x80383)),f334(f334(f90(x80381),x80384),x80383)))
% 164.74/165.09 [8039]~P125(x80391)+~P107(f334(f334(f248(x80391),x80392),x80394))+~P107(f334(f334(f248(x80391),f2(x80391)),x80392))+P107(f334(f334(f248(x80391),f334(f334(f258(x80391),x80392),x80393)),f334(f334(f258(x80391),x80394),x80393)))
% 164.74/165.09 [8040]~P67(x80401)+~P107(f334(f334(f248(x80401),x80402),x80404))+~P107(f334(f334(f248(x80401),f2(x80401)),x80403))+P107(f334(f334(f248(x80401),f334(f334(f297(x80401),x80402),x80403)),f334(f334(f297(x80401),x80404),x80403)))
% 164.74/165.09 [8042]~P123(x80421)+~P107(f334(f334(f249(x80421),x80423),x80424))+~P107(f334(f334(f249(x80421),f2(x80421)),x80422))+P107(f334(f334(f249(x80421),f334(f334(f90(x80421),x80422),x80423)),f334(f334(f90(x80421),x80422),x80424)))
% 164.74/165.09 [8043]~P130(x80431)+~P107(f334(f334(f249(x80431),x80433),x80434))+~P107(f334(f334(f249(x80431),f2(x80431)),x80432))+P107(f334(f334(f249(x80431),f334(f334(f90(x80431),x80432),x80433)),f334(f334(f90(x80431),x80432),x80434)))
% 164.74/165.09 [8044]~P127(x80441)+~P107(f334(f334(f249(x80441),x80442),x80444))+~P107(f334(f334(f249(x80441),f2(x80441)),x80443))+P107(f334(f334(f249(x80441),f334(f334(f90(x80441),x80442),x80443)),f334(f334(f90(x80441),x80444),x80443)))
% 164.74/165.09 [8045]~P130(x80451)+~P107(f334(f334(f249(x80451),x80452),x80454))+~P107(f334(f334(f249(x80451),f2(x80451)),x80453))+P107(f334(f334(f249(x80451),f334(f334(f90(x80451),x80452),x80453)),f334(f334(f90(x80451),x80454),x80453)))
% 164.74/165.09 [8046]~P127(x80461)+~P107(f334(f334(f249(x80461),x80463),x80464))+~P107(f334(f334(f249(x80461),f2(x80461)),x80462))+P107(f334(f334(f249(x80461),f334(f334(f90(x80461),x80462),x80463)),f334(f334(f90(x80461),x80462),x80464)))
% 164.74/165.09 [8047]~P68(x80471)+~P107(f334(f334(f249(x80471),x80472),x80474))+~P107(f334(f334(f249(x80471),f2(x80471)),x80473))+P107(f334(f334(f249(x80471),f334(f334(f297(x80471),x80472),x80473)),f334(f334(f297(x80471),x80474),x80473)))
% 164.74/165.09 [8089]~P109(x80892)+P107(f334(f334(f249(f926(x80891,x80892)),x80894),x80893))+~P107(f334(f334(f248(f926(x80891,x80892)),x80894),x80893))+P107(f334(f334(f248(f926(x80891,x80892)),x80893),x80894))
% 164.74/165.09 [8131]P107(f334(f334(f336(x81311),x81312),x81313))+P107(f334(f334(f336(x81311),x81312),x81314))+~P107(f334(f334(f248(f926(x81311,a913)),x81314),x81313))+P107(f334(f334(f249(f926(x81311,a913)),x81314),f334(f334(f316(x81311),x81312),x81313)))
% 164.74/165.09 [8292]P107(f334(f334(f336(x82921),x82922),x82923))+P107(f334(f334(f336(x82921),x82922),x82924))+~P107(f334(f334(f249(f926(x82921,a913)),x82924),f334(f334(f316(x82921),x82922),x82923)))+P107(f334(f334(f248(f926(x82921,a913)),x82924),x82923))
% 164.74/165.09 [8359]~P127(x83591)+P107(f334(f334(f249(x83591),x83593),x83592))+P107(f334(f334(f249(x83591),x83592),x83593))+~P107(f334(f334(f249(x83591),f334(f334(f90(x83591),x83594),x83592)),f334(f334(f90(x83591),x83594),x83593)))
% 164.74/165.09 [8360]~P127(x83601)+P107(f334(f334(f249(x83601),x83603),x83602))+P107(f334(f334(f249(x83601),x83602),x83603))+~P107(f334(f334(f249(x83601),f334(f334(f90(x83601),x83602),x83604)),f334(f334(f90(x83601),x83603),x83604)))
% 164.74/165.09 [8371]~P127(x83711)+P107(f334(f334(f249(x83711),x83714),f2(x83711)))+P107(f334(f334(f249(x83711),x83712),x83713))+~P107(f334(f334(f249(x83711),f334(f334(f90(x83711),x83712),x83714)),f334(f334(f90(x83711),x83713),x83714)))
% 164.74/165.09 [8372]~P127(x83721)+P107(f334(f334(f249(x83721),x83724),f2(x83721)))+P107(f334(f334(f249(x83721),x83722),x83723))+~P107(f334(f334(f249(x83721),f334(f334(f90(x83721),x83724),x83722)),f334(f334(f90(x83721),x83724),x83723)))
% 164.74/165.09 [8375]~P127(x83751)+P107(f334(f334(f249(x83751),x83752),x83753))+P107(f334(f334(f249(x83751),f2(x83751)),x83754))+~P107(f334(f334(f249(x83751),f334(f334(f90(x83751),x83754),x83753)),f334(f334(f90(x83751),x83754),x83752)))
% 164.74/165.09 [8376]~P127(x83761)+P107(f334(f334(f249(x83761),x83762),x83763))+P107(f334(f334(f249(x83761),f2(x83761)),x83764))+~P107(f334(f334(f249(x83761),f334(f334(f90(x83761),x83763),x83764)),f334(f334(f90(x83761),x83762),x83764)))
% 164.74/165.09 [8389]~P127(x83891)+P107(f334(f334(f249(x83891),x83892),f2(x83891)))+P107(f334(f334(f249(x83891),f2(x83891)),x83892))+~P107(f334(f334(f249(x83891),f334(f334(f90(x83891),x83893),x83892)),f334(f334(f90(x83891),x83894),x83892)))
% 164.74/165.09 [8390]~P127(x83901)+P107(f334(f334(f249(x83901),x83902),f2(x83901)))+P107(f334(f334(f249(x83901),f2(x83901)),x83902))+~P107(f334(f334(f249(x83901),f334(f334(f90(x83901),x83902),x83903)),f334(f334(f90(x83901),x83902),x83904)))
% 164.74/165.09 [8419]~P127(x84191)+~P107(f334(f334(f249(x84191),x84194),f2(x84191)))+P107(f334(f334(f248(x84191),x84192),x84193))+~P107(f334(f334(f248(x84191),f334(f334(f90(x84191),x84194),x84193)),f334(f334(f90(x84191),x84194),x84192)))
% 164.74/165.09 [8420]~P127(x84201)+~P107(f334(f334(f249(x84201),x84204),f2(x84201)))+P107(f334(f334(f249(x84201),x84202),x84203))+~P107(f334(f334(f249(x84201),f334(f334(f90(x84201),x84204),x84203)),f334(f334(f90(x84201),x84204),x84202)))
% 164.74/165.09 [8430]~P125(x84303)+~P107(f334(f334(f249(x84303),f87(x84303)),x84304))+P107(f334(f334(f248(a919),x84301),x84302))+~P107(f334(f334(f248(x84303),f334(f334(f258(x84303),x84304),x84301)),f334(f334(f258(x84303),x84304),x84302)))
% 164.74/165.09 [8432]~P125(x84323)+~P107(f334(f334(f249(x84323),f87(x84323)),x84324))+P107(f334(f334(f249(a919),x84321),x84322))+~P107(f334(f334(f249(x84323),f334(f334(f258(x84323),x84324),x84321)),f334(f334(f258(x84323),x84324),x84322)))
% 164.74/165.09 [8442]~P127(x84421)+P107(f334(f334(f248(x84421),x84422),x84423))+~P107(f334(f334(f249(x84421),f2(x84421)),x84424))+~P107(f334(f334(f248(x84421),f334(f334(f90(x84421),x84424),x84422)),f334(f334(f90(x84421),x84424),x84423)))
% 164.74/165.09 [8443]~P130(x84431)+P107(f334(f334(f248(x84431),x84432),x84433))+~P107(f334(f334(f249(x84431),f2(x84431)),x84434))+~P107(f334(f334(f248(x84431),f334(f334(f90(x84431),x84434),x84432)),f334(f334(f90(x84431),x84434),x84433)))
% 164.74/165.09 [8444]~P130(x84441)+P107(f334(f334(f248(x84441),x84442),x84443))+~P107(f334(f334(f249(x84441),f2(x84441)),x84444))+~P107(f334(f334(f248(x84441),f334(f334(f90(x84441),x84442),x84444)),f334(f334(f90(x84441),x84443),x84444)))
% 164.74/165.09 [8445]~P127(x84451)+P107(f334(f334(f249(x84451),x84452),x84453))+~P107(f334(f334(f249(x84451),f2(x84451)),x84454))+~P107(f334(f334(f249(x84451),f334(f334(f90(x84451),x84454),x84452)),f334(f334(f90(x84451),x84454),x84453)))
% 164.74/165.09 [8446]~P130(x84461)+P107(f334(f334(f249(x84461),x84462),x84463))+~P107(f334(f334(f248(x84461),f2(x84461)),x84464))+~P107(f334(f334(f249(x84461),f334(f334(f90(x84461),x84464),x84462)),f334(f334(f90(x84461),x84464),x84463)))
% 164.74/165.09 [8447]~P131(x84471)+P107(f334(f334(f249(x84471),x84472),x84473))+~P107(f334(f334(f248(x84471),f2(x84471)),x84474))+~P107(f334(f334(f249(x84471),f334(f334(f90(x84471),x84474),x84472)),f334(f334(f90(x84471),x84474),x84473)))
% 164.74/165.09 [8448]~P125(x84481)+~P107(f334(f334(f248(x84481),f2(x84481)),x84483))+P107(f334(f334(f249(x84481),x84482),x84483))+~P107(f334(f334(f249(x84481),f334(f334(f258(x84481),x84482),x84484)),f334(f334(f258(x84481),x84483),x84484)))
% 164.74/165.09 [8449]~P130(x84491)+P107(f334(f334(f249(x84491),x84492),x84493))+~P107(f334(f334(f248(x84491),f2(x84491)),x84494))+~P107(f334(f334(f249(x84491),f334(f334(f90(x84491),x84492),x84494)),f334(f334(f90(x84491),x84493),x84494)))
% 164.74/165.09 [8450]~P131(x84501)+P107(f334(f334(f249(x84501),x84502),x84503))+~P107(f334(f334(f248(x84501),f2(x84501)),x84504))+~P107(f334(f334(f249(x84501),f334(f334(f90(x84501),x84502),x84504)),f334(f334(f90(x84501),x84503),x84504)))
% 164.74/165.09 [8493]P107(f334(f334(f336(x84931),x84932),x84933))+~P107(f334(f334(f248(f926(x84931,a913)),x84933),x84934))+~P107(f334(f334(f249(f926(x84931,a913)),x84933),x84934))+P107(f334(f334(f249(f926(x84931,a913)),x84933),f334(f334(f316(x84931),x84932),x84934)))
% 164.74/165.09 [8884]E(f334(f334(f23(a1),f575(x88841,x88842,x88843,x88844)),f576(x88841,x88842,x88843,x88844)),x88844)+~P107(f334(f334(f249(a1),f2(a1)),x88843))+~P107(f334(f334(f248(a1),x88841),x88844))+P107(f334(f334(f248(a1),x88841),f334(f334(f89(a1),x88844),x88843)))
% 164.74/165.09 [8885]E(f334(f334(f23(a1),f584(x88851,x88852,x88853,x88854)),f585(x88851,x88852,x88853,x88854)),x88854)+~P107(f334(f334(f249(a1),f2(a1)),x88853))+~P107(f334(f334(f249(a1),x88851),x88854))+P107(f334(f334(f249(a1),x88851),f334(f334(f89(a1),x88854),x88853)))
% 164.74/165.09 [9033]~E(f334(f334(f174(x90331),x90333),f737(x90334,x90333,x90331,x90332)),f334(f334(f174(x90331),x90334),f737(x90334,x90333,x90331,x90332)))+E(f334(f334(f185(x90331),x90332),x90333),f334(f334(f185(x90331),x90332),x90334))+~P107(f334(f334(f248(a919),x90332),f334(f199(f920(x90331)),x90333)))+~P107(f334(f334(f248(a919),x90332),f334(f199(f920(x90331)),x90334)))
% 164.74/165.09 [9105]~P107(f334(f334(f249(a1),f2(a1)),x91053))+~P107(f334(f334(f248(a1),x91051),x91054))+P107(f334(f334(f336(a1),f575(x91051,x91052,x91053,x91054)),x91052))+P107(f334(f334(f248(a1),x91051),f334(f334(f89(a1),x91054),x91053)))
% 164.74/165.09 [9106]~P107(f334(f334(f249(a1),f2(a1)),x91063))+~P107(f334(f334(f249(a1),x91061),x91064))+P107(f334(f334(f336(a1),f584(x91061,x91062,x91063,x91064)),x91062))+P107(f334(f334(f249(a1),x91061),f334(f334(f89(a1),x91064),x91063)))
% 164.74/165.09 [9148]~P103(x91481)+~P107(f334(f70(x91481),x91483))+~P107(f334(f334(f336(x91481),x91484),x91483))+P107(f334(f334(f248(x91481),f334(f334(f73(x91481,x91481,f114(x91481)),x91482),x91483)),f334(f334(f114(x91481),x91484),x91482)))
% 164.74/165.09 [9149]~P110(x91491)+~P107(f334(f70(x91491),x91493))+~P107(f334(f334(f336(x91491),x91494),x91493))+P107(f334(f334(f248(x91491),f334(f334(f73(x91491,x91491,f246(x91491)),x91492),x91493)),f334(f334(f246(x91491),x91494),x91492)))
% 164.74/165.09 [9197]E(f334(f334(f185(x91971),x91972),x91973),f334(f334(f185(x91971),x91972),x91974))+P107(f334(f334(f249(a919),f737(x91973,x91974,x91971,x91972)),x91972))+~P107(f334(f334(f248(a919),x91972),f334(f199(f920(x91971)),x91973)))+~P107(f334(f334(f248(a919),x91972),f334(f199(f920(x91971)),x91974)))
% 164.74/165.09 [9202]~P107(f334(f334(f249(a1),f2(a1)),x92023))+~P107(f334(f334(f248(a1),x92021),x92022))+P107(f334(f334(f336(a1),f576(x92021,x92024,x92023,x92022)),f310(a1,f87(a1),x92023)))+P107(f334(f334(f248(a1),x92021),f334(f334(f89(a1),x92022),x92023)))
% 164.74/165.09 [9203]~P107(f334(f334(f249(a1),f2(a1)),x92033))+~P107(f334(f334(f249(a1),x92031),x92032))+P107(f334(f334(f336(a1),f585(x92031,x92034,x92033,x92032)),f310(a1,f87(a1),x92033)))+P107(f334(f334(f249(a1),x92031),f334(f334(f89(a1),x92032),x92033)))
% 164.74/165.09 [9530]~P110(x95301)+~P107(f334(f70(x95301),x95304))+P107(f334(f334(f336(x95301),f697(x95302,x95303,x95304,x95301)),x95304))+P107(f334(f334(f248(x95301),f334(f334(f73(x95301,x95301,f247(x95301)),x95302),x95304)),f334(f334(f247(x95301),x95303),x95302)))
% 164.74/165.09 [9531]~P102(x95311)+~P107(f334(f70(x95311),x95314))+P107(f334(f334(f336(x95311),f699(x95312,x95313,x95314,x95311)),x95314))+P107(f334(f334(f248(x95311),f334(f334(f73(x95311,x95311,f123(x95311)),x95312),x95314)),f334(f334(f123(x95311),x95313),x95312)))
% 164.74/165.09 [9659]~P102(x96591)+~P107(f334(f70(x96591),x96593))+~P107(f334(f334(f248(x96591),f699(x96592,x96594,x96593,x96591)),x96594))+P107(f334(f334(f248(x96591),f334(f334(f73(x96591,x96591,f123(x96591)),x96592),x96593)),f334(f334(f123(x96591),x96594),x96592)))
% 164.74/165.09 [9660]~P110(x96601)+~P107(f334(f70(x96601),x96603))+~P107(f334(f334(f248(x96601),f697(x96602,x96604,x96603,x96601)),x96604))+P107(f334(f334(f248(x96601),f334(f334(f73(x96601,x96601,f247(x96601)),x96602),x96603)),f334(f334(f247(x96601),x96604),x96602)))
% 164.74/165.09 [9662]~P107(f334(f334(f248(a1),f2(a1)),x96624))+~P107(f334(f334(f249(a1),f2(a1)),x96623))+~P107(f334(f334(f249(a1),x96624),x96621))+P107(f334(f334(f249(a1),f334(f334(f89(a1),f334(f334(f90(a1),x96621),f54(a1,x96622,x96623))),x96624)),f334(f334(f90(a1),x96621),x96623)))
% 164.74/165.09 [9953]~P111(x99531)+P107(f334(f334(f248(x99531),f334(x99532,x99533)),f334(x99532,x99534)))+~P107(f334(f334(f248(a919),x99533),x99534))+~P107(f334(f334(f248(x99531),f334(x99532,f860(x99534,x99533,x99532,x99531))),f334(x99532,f334(a125,f860(x99534,x99533,x99532,x99531)))))
% 164.74/165.09 [9954]~P111(x99541)+P107(f334(f334(f249(x99541),f334(x99542,x99543)),f334(x99542,x99544)))+~P107(f334(f334(f249(a919),x99543),x99544))+~P107(f334(f334(f249(x99541),f334(x99542,f874(x99544,x99543,x99542,x99541))),f334(x99542,f334(a125,f874(x99544,x99543,x99542,x99541)))))
% 164.74/165.09 [9955]~P111(x99551)+P107(f334(f334(f249(x99551),f334(x99552,x99553)),f334(x99552,x99554)))+~P107(f334(f334(f249(a919),x99553),x99554))+~P107(f334(f334(f249(x99551),f334(x99552,f875(x99554,x99553,x99552,x99551))),f334(x99552,f334(a125,f875(x99554,x99553,x99552,x99551)))))
% 164.74/165.09 [9956]~P111(x99563)+~P107(f334(f334(f249(x99563),f334(x99564,x99561)),f334(x99564,x99562)))+P107(f334(f334(f249(a919),x99561),x99562))+~P107(f334(f334(f249(x99563),f334(x99564,f874(x99562,x99561,x99564,x99563))),f334(x99564,f334(a125,f874(x99562,x99561,x99564,x99563)))))
% 164.74/165.09 [10068]E(x100681,x100682)+P107(f334(f334(f336(f925(f920(x100683),f920(x100683))),f334(f334(f266(f920(x100683),f920(x100683)),x100682),x100681)),f157(x100683,x100684)))+P107(f334(f334(f336(f925(f920(x100683),f920(x100683))),f334(f334(f266(f920(x100683),f920(x100683)),x100681),x100682)),f157(x100683,x100684)))+~P107(f334(f334(f336(f925(x100683,x100683)),f334(f334(f266(x100683,x100683),f721(x100681,x100682,x100684,x100683)),f723(x100681,x100682,x100684,x100683))),x100684))
% 164.74/165.09 [10069]E(x100691,x100692)+P107(f334(f334(f336(f925(f920(x100693),f920(x100693))),f334(f334(f266(f920(x100693),f920(x100693)),x100692),x100691)),f157(x100693,x100694)))+P107(f334(f334(f336(f925(f920(x100693),f920(x100693))),f334(f334(f266(f920(x100693),f920(x100693)),x100691),x100692)),f157(x100693,x100694)))+~P107(f334(f334(f336(f925(x100693,x100693)),f334(f334(f266(x100693,x100693),f723(x100691,x100692,x100694,x100693)),f721(x100691,x100692,x100694,x100693))),x100694))
% 164.74/165.09 [7580]~P102(x75801)+~P107(f334(f334(f248(x75801),x75803),x75804))+~P107(f334(f334(f248(x75801),x75802),x75804))+P107(f334(f334(f248(x75801),f334(f334(f123(x75801),x75802),x75803)),x75804))
% 164.74/165.09 [7583]~P110(x75831)+~P107(f334(f334(f248(x75831),x75833),x75834))+~P107(f334(f334(f248(x75831),x75832),x75834))+P107(f334(f334(f248(x75831),f334(f334(f247(x75831),x75832),x75833)),x75834))
% 164.74/165.09 [7584]~P110(x75841)+~P107(f334(f334(f249(x75841),x75843),x75844))+~P107(f334(f334(f249(x75841),x75842),x75844))+P107(f334(f334(f249(x75841),f334(f334(f247(x75841),x75842),x75843)),x75844))
% 164.74/165.09 [7900]~E(x79001,x79003)+E(f149(a919,f334(f309(a919,x79001),x79002)),f334(f334(f161(a919),x79003),x79004))+~E(f149(a919,f334(f309(a919,f334(f334(f89(a919),x79001),f87(a919))),x79002)),x79004)+~P107(f334(f334(f249(a919),x79001),x79002))
% 164.74/165.09 [7910]~P110(x79101)+P107(f334(f334(f248(x79101),x79102),x79103))+P107(f334(f334(f248(x79101),x79104),x79103))+~P107(f334(f334(f248(x79101),f334(f334(f246(x79101),x79104),x79102)),x79103))
% 164.74/165.09 [7911]~P110(x79111)+P107(f334(f334(f249(x79111),x79112),x79113))+P107(f334(f334(f249(x79111),x79114),x79113))+~P107(f334(f334(f249(x79111),f334(f334(f246(x79111),x79114),x79112)),x79113))
% 164.74/165.09 [8192]~P67(x81921)+~P107(f334(f334(f249(x81921),f2(x81921)),x81923))+~P107(f334(f334(f248(x81921),x81922),f334(f334(f297(x81921),x81924),x81923)))+P107(f334(f334(f248(x81921),f334(f334(f90(x81921),x81922),x81923)),x81924))
% 164.74/165.09 [8193]~P68(x81931)+~P107(f334(f334(f249(x81931),f2(x81931)),x81933))+~P107(f334(f334(f248(x81931),x81932),f334(f334(f297(x81931),x81934),x81933)))+P107(f334(f334(f248(x81931),f334(f334(f90(x81931),x81932),x81933)),x81934))
% 164.74/165.09 [8194]~P67(x81941)+~P107(f334(f334(f249(x81941),f2(x81941)),x81943))+~P107(f334(f334(f248(x81941),x81942),f334(f334(f90(x81941),x81944),x81943)))+P107(f334(f334(f248(x81941),f334(f334(f297(x81941),x81942),x81943)),x81944))
% 164.74/165.09 [8196]~P68(x81961)+~P107(f334(f334(f249(x81961),f2(x81961)),x81963))+~P107(f334(f334(f248(x81961),x81962),f334(f334(f90(x81961),x81964),x81963)))+P107(f334(f334(f248(x81961),f334(f334(f297(x81961),x81962),x81963)),x81964))
% 164.74/165.09 [8197]~P67(x81971)+~P107(f334(f334(f249(x81971),f2(x81971)),x81973))+~P107(f334(f334(f249(x81971),x81972),f334(f334(f297(x81971),x81974),x81973)))+P107(f334(f334(f249(x81971),f334(f334(f90(x81971),x81972),x81973)),x81974))
% 164.74/165.09 [8198]~P68(x81981)+~P107(f334(f334(f249(x81981),f2(x81981)),x81983))+~P107(f334(f334(f249(x81981),x81982),f334(f334(f297(x81981),x81984),x81983)))+P107(f334(f334(f249(x81981),f334(f334(f90(x81981),x81982),x81983)),x81984))
% 164.74/165.09 [8199]~P67(x81991)+~P107(f334(f334(f249(x81991),f2(x81991)),x81993))+~P107(f334(f334(f249(x81991),x81992),f334(f334(f90(x81991),x81994),x81993)))+P107(f334(f334(f249(x81991),f334(f334(f297(x81991),x81992),x81993)),x81994))
% 164.74/165.09 [8201]~P68(x82011)+~P107(f334(f334(f249(x82011),f2(x82011)),x82013))+~P107(f334(f334(f249(x82011),x82012),f334(f334(f90(x82011),x82014),x82013)))+P107(f334(f334(f249(x82011),f334(f334(f297(x82011),x82012),x82013)),x82014))
% 164.74/165.09 [8328]~P67(x83281)+~P107(f334(f334(f249(x83281),f2(x83281)),x83284))+P107(f334(f334(f248(x83281),x83282),f334(f334(f90(x83281),x83283),x83284)))+~P107(f334(f334(f248(x83281),f334(f334(f297(x83281),x83282),x83284)),x83283))
% 164.74/165.09 [8329]~P67(x83291)+~P107(f334(f334(f249(x83291),f2(x83291)),x83294))+P107(f334(f334(f248(x83291),x83292),f334(f334(f297(x83291),x83293),x83294)))+~P107(f334(f334(f248(x83291),f334(f334(f90(x83291),x83292),x83294)),x83293))
% 164.74/165.09 [8331]~P68(x83311)+~P107(f334(f334(f249(x83311),f2(x83311)),x83314))+P107(f334(f334(f248(x83311),x83312),f334(f334(f90(x83311),x83313),x83314)))+~P107(f334(f334(f248(x83311),f334(f334(f297(x83311),x83312),x83314)),x83313))
% 164.74/165.09 [8332]~P68(x83321)+~P107(f334(f334(f249(x83321),f2(x83321)),x83324))+P107(f334(f334(f248(x83321),x83322),f334(f334(f297(x83321),x83323),x83324)))+~P107(f334(f334(f248(x83321),f334(f334(f90(x83321),x83322),x83324)),x83323))
% 164.74/165.09 [8333]~P67(x83331)+~P107(f334(f334(f249(x83331),f2(x83331)),x83334))+P107(f334(f334(f249(x83331),x83332),f334(f334(f90(x83331),x83333),x83334)))+~P107(f334(f334(f249(x83331),f334(f334(f297(x83331),x83332),x83334)),x83333))
% 164.74/165.09 [8334]~P67(x83341)+~P107(f334(f334(f249(x83341),f2(x83341)),x83344))+P107(f334(f334(f249(x83341),x83342),f334(f334(f297(x83341),x83343),x83344)))+~P107(f334(f334(f249(x83341),f334(f334(f90(x83341),x83342),x83344)),x83343))
% 164.74/165.09 [8336]~P68(x83361)+~P107(f334(f334(f249(x83361),f2(x83361)),x83364))+P107(f334(f334(f249(x83361),x83362),f334(f334(f90(x83361),x83363),x83364)))+~P107(f334(f334(f249(x83361),f334(f334(f297(x83361),x83362),x83364)),x83363))
% 164.74/165.09 [8337]~P68(x83371)+~P107(f334(f334(f249(x83371),f2(x83371)),x83374))+P107(f334(f334(f249(x83371),x83372),f334(f334(f297(x83371),x83373),x83374)))+~P107(f334(f334(f249(x83371),f334(f334(f90(x83371),x83372),x83374)),x83373))
% 164.74/165.09 [8496]~P68(x84961)+~P107(f334(f334(f249(x84961),x84963),f2(x84961)))+~P107(f334(f334(f248(x84961),f334(f334(f297(x84961),x84964),x84963)),x84962))+P107(f334(f334(f248(x84961),f334(f334(f90(x84961),x84962),x84963)),x84964))
% 164.74/165.09 [8497]~P68(x84971)+~P107(f334(f334(f249(x84971),x84973),f2(x84971)))+~P107(f334(f334(f248(x84971),f334(f334(f90(x84971),x84974),x84973)),x84972))+P107(f334(f334(f248(x84971),f334(f334(f297(x84971),x84972),x84973)),x84974))
% 164.74/165.09 [8498]~P68(x84981)+~P107(f334(f334(f249(x84981),x84983),f2(x84981)))+~P107(f334(f334(f249(x84981),f334(f334(f297(x84981),x84984),x84983)),x84982))+P107(f334(f334(f249(x84981),f334(f334(f90(x84981),x84982),x84983)),x84984))
% 164.74/165.09 [8499]~P68(x84991)+~P107(f334(f334(f249(x84991),x84993),f2(x84991)))+~P107(f334(f334(f249(x84991),f334(f334(f90(x84991),x84994),x84993)),x84992))+P107(f334(f334(f249(x84991),f334(f334(f297(x84991),x84992),x84993)),x84994))
% 164.74/165.09 [8511]~P107(f334(x85111,x85114))+~P107(f334(f334(f249(a919),x85112),f334(f334(f90(a919),x85113),f334(a125,x85114))))+P107(f334(x85111,f334(f334(f45(a919),x85112),x85113)))+~P107(f334(f334(f248(a919),f334(f334(f90(a919),x85113),x85114)),x85112))
% 164.74/165.09 [8732]~P102(x87321)+~P107(f334(f70(x87321),x87324))+~P107(f334(f334(f336(x87321),x87322),x87324))+P107(f334(f334(f248(x87321),f334(f334(f123(x87321),x87322),x87323)),f334(f334(f73(x87321,x87321,f123(x87321)),x87323),x87324)))
% 164.74/165.09 [8733]~P110(x87331)+~P107(f334(f70(x87331),x87334))+~P107(f334(f334(f336(x87331),x87332),x87334))+P107(f334(f334(f248(x87331),f334(f334(f247(x87331),x87332),x87333)),f334(f334(f73(x87331,x87331,f247(x87331)),x87333),x87334)))
% 164.74/165.09 [8886]~P107(f334(f70(x88861),x88862))+E(f334(f44(x88861),f334(f334(f23(f926(x88861,a913)),x88862),f334(f334(f316(x88861),x88863),x88864))),f334(f334(f23(a919),f334(f44(x88861),f334(f334(f23(f926(x88861,a913)),x88862),x88864))),f87(a919)))+P107(f334(f334(f336(x88861),x88863),x88864))+~P107(f334(f334(f336(x88861),x88863),x88862))
% 164.74/165.09 [8962]E(f334(f334(f89(a1),f579(x89621,x89622,x89623,x89624)),f580(x89621,x89622,x89623,x89624)),x89624)+~P107(f334(f334(f249(a1),f2(a1)),x89623))+~P107(f334(f334(f248(a1),x89624),x89621))+P107(f334(f334(f248(a1),f334(f334(f23(a1),x89624),x89623)),x89621))
% 164.74/165.09 [8963]E(f334(f334(f89(a1),f586(x89631,x89632,x89633,x89634)),f587(x89631,x89632,x89633,x89634)),x89634)+~P107(f334(f334(f249(a1),f2(a1)),x89633))+~P107(f334(f334(f249(a1),x89634),x89631))+P107(f334(f334(f249(a1),f334(f334(f23(a1),x89634),x89633)),x89631))
% 164.74/165.09 [9182]~P107(f334(f334(f249(a1),f2(a1)),x91823))+~P107(f334(f334(f248(a1),x91824),x91821))+P107(f334(f334(f336(a1),f579(x91821,x91822,x91823,x91824)),x91822))+P107(f334(f334(f248(a1),f334(f334(f23(a1),x91824),x91823)),x91821))
% 164.74/165.09 [9183]~P107(f334(f334(f249(a1),f2(a1)),x91833))+~P107(f334(f334(f249(a1),x91834),x91831))+P107(f334(f334(f336(a1),f586(x91831,x91832,x91833,x91834)),x91832))+P107(f334(f334(f249(a1),f334(f334(f23(a1),x91834),x91833)),x91831))
% 164.74/165.09 [9270]~P107(f334(f334(f249(a1),f2(a1)),x92702))+~P107(f334(f334(f248(a1),x92701),x92703))+P107(f334(f334(f336(a1),f580(x92703,x92704,x92702,x92701)),f310(a1,f87(a1),x92702)))+P107(f334(f334(f248(a1),f334(f334(f23(a1),x92701),x92702)),x92703))
% 164.74/165.09 [9271]~P107(f334(f334(f249(a1),f2(a1)),x92712))+~P107(f334(f334(f249(a1),x92711),x92713))+P107(f334(f334(f336(a1),f587(x92713,x92714,x92712,x92711)),f310(a1,f87(a1),x92712)))+P107(f334(f334(f249(a1),f334(f334(f23(a1),x92711),x92712)),x92713))
% 164.74/165.09 [9290]~P107(f334(f334(f248(a1),f2(a1)),x92904))+~P107(f334(f334(f249(a1),f2(a1)),x92903))+~P107(f334(f334(f249(a1),x92904),x92901))+P107(f334(f334(f248(a1),f2(a1)),f334(f334(f89(a1),f334(f334(f90(a1),x92901),f54(a1,x92902,x92903))),x92904)))
% 164.74/165.09 [9350]~P103(x93501)+~P107(f334(f70(x93501),x93504))+~P107(f334(f334(f248(x93501),x93502),f695(x93503,x93502,x93504,x93501)))+P107(f334(f334(f248(x93501),f334(f334(f114(x93501),x93502),x93503)),f334(f334(f73(x93501,x93501,f114(x93501)),x93503),x93504)))
% 164.74/165.09 [9351]~P110(x93511)+~P107(f334(f70(x93511),x93514))+~P107(f334(f334(f248(x93511),x93512),f696(x93513,x93512,x93514,x93511)))+P107(f334(f334(f248(x93511),f334(f334(f246(x93511),x93512),x93513)),f334(f334(f73(x93511,x93511,f246(x93511)),x93513),x93514)))
% 164.74/165.09 [9365]~P107(f334(f334(f248(a1),x93654),f2(a1)))+~P107(f334(f334(f249(a1),f2(a1)),x93652))+~P107(f334(f334(f249(a1),x93651),x93654))+P107(f334(f334(f249(a1),f334(f334(f90(a1),x93651),x93652)),f334(f334(f89(a1),f334(f334(f90(a1),x93651),f54(a1,x93653,x93652))),x93654)))
% 164.74/165.09 [9389]P107(f334(f70(x93891),x93892))+~P107(f334(f70(x93891),x93893))+~P107(f334(f334(f336(f926(x93891,a913)),x93892),f334(f334(f69(x93891),x93893),x93894)))+~P107(f334(f334(f248(f926(f925(x93891,x93891),a913)),x93894),f334(f334(f268(x93891,x93891),x93893),f334(f16(f926(x93891,a913),x93891),x93893))))
% 164.74/165.09 [9419]~P110(x94191)+~P107(f334(f70(x94191),x94194))+P107(f334(f334(f336(x94191),f696(x94192,x94193,x94194,x94191)),x94194))+P107(f334(f334(f248(x94191),f334(f334(f246(x94191),x94193),x94192)),f334(f334(f73(x94191,x94191,f246(x94191)),x94192),x94194)))
% 164.74/165.09 [9420]~P103(x94201)+~P107(f334(f70(x94201),x94204))+P107(f334(f334(f336(x94201),f695(x94202,x94203,x94204,x94201)),x94204))+P107(f334(f334(f248(x94201),f334(f334(f114(x94201),x94203),x94202)),f334(f334(f73(x94201,x94201,f114(x94201)),x94202),x94204)))
% 164.74/165.09 [9838]~P107(f334(f70(x98382),x98384))+~P107(f334(f70(x98381),x98383))+~P107(f334(f334(f248(a919),f334(f44(x98382),x98384)),f334(f44(x98381),x98383)))+P107(f334(f334(f248(f926(x98381,a913)),f334(f317(x98382,x98381,f452(x98383,x98381,x98384,x98382)),x98384)),x98383))
% 164.74/165.09 [9468]~P107(f334(f334(f336(x94681),x94682),x94684))+P107(f334(f334(f336(x94681),x94682),x94683))+~P107(f334(f334(f249(f926(x94681,a913)),x94684),f334(f334(f316(x94681),x94682),x94683)))+P107(f334(f334(f249(f926(x94681,a913)),f334(f334(f23(f926(x94681,a913)),x94684),f334(f334(f316(x94681),x94682),f198(f926(x94681,a913))))),x94683))
% 164.74/165.09 [9639]~P107(f334(f334(f336(x96391),x96392),x96394))+P107(f334(f334(f336(x96391),x96392),x96393))+P107(f334(f334(f249(f926(x96391,a913)),x96394),f334(f334(f316(x96391),x96392),x96393)))+~P107(f334(f334(f249(f926(x96391,a913)),f334(f334(f23(f926(x96391,a913)),x96394),f334(f334(f316(x96391),x96392),f198(f926(x96391,a913))))),x96393))
% 164.74/165.09 [9665]P107(f334(f334(f336(x96651),x96652),x96653))+~P107(f334(f334(f248(f926(x96651,a913)),x96654),x96653))+P107(f334(f334(f249(f926(x96651,a913)),x96654),f334(f334(f316(x96651),x96652),x96653)))+~P107(f334(f334(f249(f926(x96651,a913)),f334(f334(f23(f926(x96651,a913)),x96654),f334(f334(f316(x96651),x96652),f198(f926(x96651,a913))))),x96653))
% 164.74/165.09 [9670]~P107(f334(f334(f336(x96701),x96703),x96702))+~P107(f334(f334(f249(f926(x96701,a913)),x96702),x96704))+P107(f334(f334(f249(f926(x96701,a913)),x96702),f334(f334(f316(x96701),x96703),x96704)))+~P107(f334(f334(f249(f926(x96701,a913)),f334(f334(f23(f926(x96701,a913)),x96702),f334(f334(f316(x96701),x96703),f198(f926(x96701,a913))))),x96704))
% 164.74/165.09 [9689]~P107(f334(f334(f248(f926(x96891,a913)),x96892),x96894))+~P107(f334(f334(f249(f926(x96891,a913)),x96892),x96894))+P107(f334(f334(f249(f926(x96891,a913)),x96892),f334(f334(f316(x96891),x96893),x96894)))+~P107(f334(f334(f249(f926(x96891,a913)),f334(f334(f23(f926(x96891,a913)),x96892),f334(f334(f316(x96891),x96893),f198(f926(x96891,a913))))),x96894))
% 164.74/165.09 [9741]~P111(x97412)+~P2(x97411)+~P107(f334(f334(f248(f926(x97411,x97412)),x97413),x97414))+P107(f334(f66(x97411),f334(f334(f18(x97411,x97412,a913),f334(f334(f8(x97412,f926(x97412,a913),x97411),f248(x97412)),x97413)),x97414)))
% 164.74/165.09 [9884]~P111(x98842)+~P2(x98841)+P107(f334(f334(f248(f926(x98841,x98842)),x98843),x98844))+~P107(f334(f66(x98841),f334(f334(f18(x98841,x98842,a913),f334(f334(f8(x98842,f926(x98842,a913),x98841),f248(x98842)),x98843)),x98844)))
% 164.74/165.09 [10055]E(f334(f334(f174(x100551),f334(f334(f174(f920(x100551)),f189(x100551,x100552)),x100553)),x100554),f334(f334(f174(x100551),f334(f334(f174(f920(x100551)),x100552),x100554)),x100553))+~P107(f334(f334(f249(a919),x100553),f334(f199(f920(f920(x100551))),f189(x100551,x100552))))+~P12(a919,f334(f178(a919),f334(f334(f164(f920(x100551),a919),f199(f920(x100551))),x100552)))+~P107(f334(f334(f249(a919),x100554),f334(f199(f920(f920(x100551))),f334(f146(f920(x100551),f334(f334(f8(a919,a913,f920(x100551)),f334(f249(a919),x100553)),f199(f920(x100551)))),x100552))))
% 164.74/165.09 [10080]~P107(f334(f334(f336(f925(a919,a919)),x100804),x100801))+~P107(f334(f334(f336(f925(f925(a919,a919),f925(a919,a919))),f334(f334(f266(f925(a919,a919),f925(a919,a919)),x100804),x100802)),a41))+~P107(f334(f334(f336(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),f334(f334(f266(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),x100801),x100803)),a42))+P107(f334(f334(f336(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),f334(f334(f266(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),x100801),f334(f334(f316(f925(a919,a919)),x100802),x100803))),a42))
% 164.74/165.09 [10081]~P107(f334(f334(f336(f925(a919,a919)),x100814),x100811))+~P107(f334(f334(f336(f925(f925(a919,a919),f925(a919,a919))),f334(f334(f266(f925(a919,a919),f925(a919,a919)),x100814),x100812)),a79))+~P107(f334(f334(f336(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),f334(f334(f266(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),x100811),x100813)),a80))+P107(f334(f334(f336(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),f334(f334(f266(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),x100811),f334(f334(f316(f925(a919,a919)),x100812),x100813))),a80))
% 164.74/165.09 [9967]~P111(x99672)+~P2(x99671)+~P107(f334(f334(f249(f926(x99671,x99672)),x99673),x99674))+P107(f334(f65(x99671),f334(f334(f8(a913,a913,x99671),a329),f334(f334(f18(x99671,x99672,a913),f334(f334(f8(x99672,f926(x99672,a913),x99671),a331),x99673)),x99674))))
% 164.74/165.09 [10094]~P107(f334(f334(f336(f925(a919,a919)),x100944),x100943))+~P107(f334(f334(f336(f925(f925(a919,a919),f925(a919,a919))),f334(f334(f266(f925(a919,a919),f925(a919,a919)),x100941),x100944)),a41))+~P107(f334(f334(f336(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),f334(f334(f266(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),x100942),x100943)),a43))+P107(f334(f334(f336(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),f334(f334(f266(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),f334(f334(f316(f925(a919,a919)),x100941),x100942)),x100943)),a43))
% 164.74/165.09 [10095]~P107(f334(f334(f336(f925(a919,a919)),x100954),x100953))+~P107(f334(f334(f336(f925(f925(a919,a919),f925(a919,a919))),f334(f334(f266(f925(a919,a919),f925(a919,a919)),x100951),x100954)),a79))+~P107(f334(f334(f336(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),f334(f334(f266(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),x100952),x100953)),a78))+P107(f334(f334(f336(f925(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913))),f334(f334(f266(f926(f925(a919,a919),a913),f926(f925(a919,a919),a913)),f334(f334(f316(f925(a919,a919)),x100951),x100952)),x100953)),a78))
% 164.74/165.09 [6181]~P5(x61814,x61811)+~P107(f334(f334(x61811,x61812),x61815))+P107(f334(f334(x61811,x61812),x61813))+~P107(f334(f334(x61811,x61815),x61813))
% 164.74/165.09 [6182]~P52(x61824,x61821)+~P107(f334(f334(x61821,x61822),x61825))+P107(f334(f334(x61821,x61822),x61823))+~P107(f334(f334(x61821,x61825),x61823))
% 164.74/165.09 [9730]~P39(x97301,x97304)+P107(f334(f334(f336(f925(f920(x97301),f920(x97301))),f334(f334(f266(f920(x97301),f920(x97301)),x97302),x97303)),f157(x97301,x97304)))+~P107(f334(f334(f336(f925(f920(x97301),f920(x97301))),f334(f334(f266(f920(x97301),f920(x97301)),x97302),x97305)),f157(x97301,x97304)))+~P107(f334(f334(f336(f925(f920(x97301),f920(x97301))),f334(f334(f266(f920(x97301),f920(x97301)),x97305),x97303)),f157(x97301,x97304)))
% 164.74/165.09 [5446]~P63(x54465)+E(x54461,x54462)+~E(x54463,x54464)+~E(f334(f334(f23(x54465),x54463),x54464),f334(f334(f23(x54465),x54461),x54462))
% 164.74/165.09 [6292]~P15(x62925,x62921,x62923)+E(f334(f334(x62921,x62922),f334(x62923,x62924)),f334(x62923,x62924))+~P107(f334(f70(x62925),x62924))+~P107(f334(f334(f336(x62925),x62922),x62924))
% 164.74/165.09 [6481]~P79(x64811)+~E(f334(f334(f23(x64811),x64814),x64815),f334(f334(f23(x64811),x64812),x64813))+~P107(f334(f334(f248(x64811),x64814),x64815))+P107(f334(f334(f248(x64811),x64812),x64813))
% 164.74/165.09 [6483]~P79(x64831)+~E(f334(f334(f23(x64831),x64834),x64835),f334(f334(f23(x64831),x64832),x64833))+~P107(f334(f334(f249(x64831),x64834),x64835))+P107(f334(f334(f249(x64831),x64832),x64833))
% 164.74/165.09 [7446]~E(x74462,f334(f334(f161(x74461),x74464),x74465))+P107(f334(f334(f336(f920(x74461)),x74462),f171(x74461,x74463)))+~P107(f334(f334(f336(f920(x74461)),x74465),f171(x74461,x74463)))+~P107(f334(f334(f336(x74461),x74464),x74463))
% 164.74/165.09 [7850]~E(f334(f199(f920(x78501)),x78503),f334(f199(f920(x78502)),x78504))+~E(f334(f334(f164(f925(x78501,x78502),x78502),f269(x78501,x78502)),x78505),x78504)+~E(f334(f334(f164(f925(x78501,x78502),x78501),f265(x78501,x78502)),x78505),x78503)+E(f334(f334(f191(x78501,x78502),x78503),x78504),x78505)
% 164.74/165.09 [8188]~P111(x81881)+P107(f334(f334(f249(f926(x81881,a913)),f310(x81881,x81882,x81883)),f310(x81881,x81884,x81885)))+~P107(f334(f334(f248(x81881),x81884),x81885))+P107(f334(f334(f248(x81881),x81882),x81883))
% 164.74/165.09 [8285]~P111(x82851)+P107(f334(f334(f248(f926(x82851,a913)),f310(x82851,x82852,x82853)),f310(x82851,x82854,x82855)))+~P107(f334(f334(f248(x82851),x82853),x82855))+~P107(f334(f334(f248(x82851),x82854),x82852))
% 164.74/165.09 [8405]~P110(x84051)+P107(f334(f334(f248(x84051),x84052),x84053))+P107(f334(f334(f248(x84051),x84054),x84053))+~P107(f334(f334(f248(f926(x84051,a913)),f334(f309(x84051,x84053),x84052)),f334(f309(x84051,x84054),x84055)))
% 164.74/165.09 [8406]~P110(x84061)+P107(f334(f334(f248(x84061),x84062),x84063))+P107(f334(f334(f248(x84061),x84062),x84064))+~P107(f334(f334(f248(f926(x84061,a913)),f334(f309(x84061,x84063),x84062)),f334(f309(x84061,x84065),x84064)))
% 164.74/165.09 [8648]~P111(x86481)+~P107(f334(f334(f248(f926(x86481,a913)),f310(x86481,x86484,x86482)),f310(x86481,x86485,x86483)))+P107(f334(f334(f248(x86481),x86482),x86483))+~P107(f334(f334(f248(x86481),x86484),x86482))
% 164.74/165.09 [8649]~P111(x86491)+~P107(f334(f334(f249(f926(x86491,a913)),f310(x86491,x86494,x86492)),f310(x86491,x86495,x86493)))+P107(f334(f334(f248(x86491),x86492),x86493))+~P107(f334(f334(f248(x86491),x86494),x86492))
% 164.74/165.09 [8650]~P111(x86501)+~P107(f334(f334(f248(f926(x86501,a913)),f310(x86501,x86503,x86504)),f310(x86501,x86502,x86505)))+P107(f334(f334(f248(x86501),x86502),x86503))+~P107(f334(f334(f248(x86501),x86503),x86504))
% 164.74/165.09 [8651]~P111(x86511)+~P107(f334(f334(f249(f926(x86511,a913)),f310(x86511,x86513,x86514)),f310(x86511,x86512,x86515)))+P107(f334(f334(f248(x86511),x86512),x86513))+~P107(f334(f334(f248(x86511),x86513),x86514))
% 164.74/165.09 [6180]~P15(x61802,x61805,x61803)+E(x61801,f198(f926(x61802,a913)))+~P107(f334(f70(x61802),x61801))+E(f334(x61803,f334(f334(f316(x61802),x61804),x61801)),f334(f334(x61805,x61804),f334(x61803,x61801)))
% 164.74/165.09 [6947]~E(x69471,x69472)+~E(f334(f334(f114(f926(x69473,a913)),x69474),x69475),f198(f926(x69473,a913)))+~P107(f334(f334(f336(x69473),x69472),x69475))+~P107(f334(f334(f336(x69473),x69471),x69474))
% 164.74/165.09 [7026]~P16(x70262,x70265,x70261)+~P107(f334(f70(x70262),x70264))+E(f334(x70261,f334(f334(f316(x70262),x70263),x70264)),f334(f334(f73(x70262,x70262,x70265),x70263),x70264))+P107(f334(f334(f336(x70262),x70263),x70264))
% 164.74/165.09 [7092]~P72(x70922)+~P107(f334(f70(x70921),x70925))+E(f334(f334(f6(x70921,x70922),x70923),f334(f334(f316(x70921),x70924),x70925)),f334(f334(f89(x70922),f334(x70923,x70924)),f334(f334(f6(x70921,x70922),x70923),x70925)))+P107(f334(f334(f336(x70921),x70924),x70925))
% 164.74/165.09 [7094]~P76(x70942)+~P107(f334(f70(x70941),x70945))+E(f334(f334(f9(x70941,x70942),x70943),f334(f334(f316(x70941),x70944),x70945)),f334(f334(f90(x70942),f334(x70943,x70944)),f334(f334(f9(x70941,x70942),x70943),x70945)))+P107(f334(f334(f336(x70941),x70944),x70945))
% 164.74/165.09 [7594]~P16(x75942,x75945,x75941)+~P107(f334(f70(x75942),x75944))+E(f334(x75941,f334(f334(f316(x75942),x75943),x75944)),x75943)+~E(f334(f334(f23(f926(x75942,a913)),x75944),f334(f334(f316(x75942),x75943),f198(f926(x75942,a913)))),f198(f926(x75942,a913)))
% 164.74/165.09 [7904]~P107(f334(x79041,x79043))+~P107(f334(f334(f204(x79042),x79043),x79045))+~P107(f334(f334(f204(f33(x79041,x79042)),x79045),x79044))+P107(f334(f334(f204(f33(x79041,x79042)),x79043),x79044))
% 164.74/165.09 [7956]~P102(x79561)+~P107(f334(f334(f248(x79561),x79563),x79565))+~P107(f334(f334(f248(x79561),x79562),x79564))+P107(f334(f334(f248(x79561),f334(f334(f123(x79561),x79562),x79563)),f334(f334(f123(x79561),x79564),x79565)))
% 164.74/165.09 [7957]~P103(x79571)+~P107(f334(f334(f248(x79571),x79573),x79575))+~P107(f334(f334(f248(x79571),x79572),x79574))+P107(f334(f334(f248(x79571),f334(f334(f114(x79571),x79572),x79573)),f334(f334(f114(x79571),x79574),x79575)))
% 164.74/165.09 [7958]~P90(x79581)+~P107(f334(f334(f248(x79581),x79583),x79585))+~P107(f334(f334(f248(x79581),x79582),x79584))+P107(f334(f334(f248(x79581),f334(f334(f89(x79581),x79582),x79583)),f334(f334(f89(x79581),x79584),x79585)))
% 164.74/165.09 [7959]~P110(x79591)+~P107(f334(f334(f248(x79591),x79593),x79595))+~P107(f334(f334(f248(x79591),x79592),x79594))+P107(f334(f334(f248(x79591),f334(f334(f246(x79591),x79592),x79593)),f334(f334(f246(x79591),x79594),x79595)))
% 164.74/165.09 [7960]~P110(x79601)+~P107(f334(f334(f248(x79601),x79603),x79605))+~P107(f334(f334(f248(x79601),x79602),x79604))+P107(f334(f334(f248(x79601),f334(f334(f247(x79601),x79602),x79603)),f334(f334(f247(x79601),x79604),x79605)))
% 164.74/165.09 [7961]~P88(x79611)+~P107(f334(f334(f248(x79611),x79613),x79615))+~P107(f334(f334(f249(x79611),x79612),x79614))+P107(f334(f334(f249(x79611),f334(f334(f89(x79611),x79612),x79613)),f334(f334(f89(x79611),x79614),x79615)))
% 164.74/165.09 [7962]~P88(x79621)+~P107(f334(f334(f248(x79621),x79622),x79624))+~P107(f334(f334(f249(x79621),x79623),x79625))+P107(f334(f334(f249(x79621),f334(f334(f89(x79621),x79622),x79623)),f334(f334(f89(x79621),x79624),x79625)))
% 164.74/165.09 [7963]~P88(x79631)+~P107(f334(f334(f249(x79631),x79633),x79635))+~P107(f334(f334(f249(x79631),x79632),x79634))+P107(f334(f334(f249(x79631),f334(f334(f89(x79631),x79632),x79633)),f334(f334(f89(x79631),x79634),x79635)))
% 164.74/165.09 [8099]~P144(x80995)+E(x80991,x80992)+E(x80993,x80994)+~E(f334(f334(f89(x80995),f334(f334(f90(x80995),x80993),x80991)),f334(f334(f90(x80995),x80994),x80992)),f334(f334(f89(x80995),f334(f334(f90(x80995),x80993),x80992)),f334(f334(f90(x80995),x80994),x80991)))
% 164.74/165.09 [8241]P29(x82411,x82412,x82413)+~P28(x82411,x82414,x82415)+~P29(x82411,x82412,f605(x82415,x82414,x82411,x82412))+~P107(f334(f334(f336(f918(x82411)),x82413),x82415))
% 164.74/165.09 [8306]~P110(x83064)+~P107(f334(f147(x83061),x83063))+P107(f334(f334(f336(x83061),x83062),f334(f182(x83061),x83063)))+P107(f334(f147(x83061),f334(f334(f158(x83061,x83064,x83065),x83062),x83063)))
% 164.74/165.09 [8451]~P63(x84511)+E(f334(f334(f23(x84511),f334(f334(f6(a919,x84511),x84512),f334(f309(a919,x84513),x84514))),f334(f334(f6(a919,x84511),x84512),f334(f309(a919,x84513),x84515))),f334(f334(f6(a919,x84511),x84512),f334(f309(a919,x84515),x84514)))+~P107(f334(f334(f248(a919),x84515),x84514))+~P107(f334(f334(f248(a919),x84513),x84515))
% 164.74/165.09 [8452]~P72(x84521)+E(f334(f334(f89(x84521),f334(f334(f6(a919,x84521),x84522),f334(f309(a919,x84523),x84524))),f334(f334(f6(a919,x84521),x84522),f334(f309(a919,x84524),x84525))),f334(f334(f6(a919,x84521),x84522),f334(f309(a919,x84523),x84525)))+~P107(f334(f334(f248(a919),x84524),x84525))+~P107(f334(f334(f248(a919),x84523),x84524))
% 164.74/165.09 [8794]~P66(x87942)+E(x87941,f2(x87942))+E(x87943,f2(x87942))+E(f334(f334(f297(x87942),f334(f334(f23(x87942),f334(f334(f90(x87942),x87944),x87941)),f334(f334(f90(x87942),x87945),x87943))),f334(f334(f90(x87942),x87943),x87941)),f334(f334(f23(x87942),f334(f334(f297(x87942),x87944),x87943)),f334(f334(f297(x87942),x87945),x87941)))
% 164.74/165.09 [8795]~P66(x87952)+E(x87951,f2(x87952))+E(x87953,f2(x87952))+E(f334(f334(f297(x87952),f334(f334(f89(x87952),f334(f334(f90(x87952),x87954),x87951)),f334(f334(f90(x87952),x87955),x87953))),f334(f334(f90(x87952),x87953),x87951)),f334(f334(f89(x87952),f334(f334(f297(x87952),x87954),x87953)),f334(f334(f297(x87952),x87955),x87951)))
% 164.74/165.09 [8803]~E(x88032,f334(x88033,x88031))+E(x88031,f886(x88032,x88033,x88034,x88035))+~P23(x88035,x88034,x88033,f256(f926(x88035,a913)))+~P107(f334(f334(f336(x88034),x88032),f334(f317(x88035,x88034,x88033),f256(f926(x88035,a913)))))
% 164.74/165.09 [9018]~P122(x90181)+~P107(f334(f334(f249(x90181),f334(f84(x90181),x90182)),x90184))+P107(f334(f334(f249(x90181),f334(f334(f90(x90181),f334(f84(x90181),x90182)),f334(f84(x90181),x90183))),f334(f334(f90(x90181),x90184),x90185)))+~P107(f334(f334(f249(x90181),f334(f84(x90181),x90183)),x90185))
% 164.74/165.09 [9035]~P28(x90351,x90355,x90354)+P29(x90351,x90352,x90353)+P107(f334(f334(f336(f918(x90351)),f605(x90354,x90355,x90351,x90352)),x90355))+~P107(f334(f334(f336(f918(x90351)),x90353),x90354))
% 164.74/165.09 [9140]~P23(x91401,x91403,x91405,x91402)+~P107(f334(f70(x91403),x91404))+P107(f334(f334(f248(a919),f334(f44(x91401),x91402)),f334(f44(x91403),x91404)))+~P107(f334(f334(f248(f926(x91403,a913)),f334(f317(x91401,x91403,x91405),x91402)),x91404))
% 164.74/165.09 [9211]~P72(x92112)+~P23(x92111,x92111,x92114,x92115)+~P107(f334(f70(x92111),x92115))+E(f334(f334(f6(x92111,x92112),f334(f81(x92111,x92112,x92111,x92113),x92114)),x92115),f334(f334(f6(x92111,x92112),x92113),f334(f317(x92111,x92111,x92114),x92115)))
% 164.74/165.09 [9212]~P76(x92122)+~P23(x92121,x92121,x92124,x92125)+~P107(f334(f70(x92121),x92125))+E(f334(f334(f9(x92121,x92122),f334(f81(x92121,x92122,x92121,x92123),x92124)),x92125),f334(f334(f9(x92121,x92122),x92123),f334(f317(x92121,x92121,x92124),x92125)))
% 164.74/165.09 [9330]~P38(x93301,x93302)+~P107(f334(f334(f336(x93301),x93303),x93304))+~P107(f334(f334(f336(x93301),x93305),x93304))+~P107(f334(f334(f336(f925(x93301,x93301)),f334(f334(f266(x93301,x93301),x93305),f363(x93302,x93301,x93304))),x93302))
% 164.74/165.09 [9364]~P23(x93642,x93643,x93645,x93641)+E(x93641,f198(f926(x93642,a913)))+E(f334(f317(x93643,x93642,f806(x93644,x93643,x93642,x93641)),x93644),x93641)+~P107(f334(f334(f248(f926(x93643,a913)),f334(f317(x93642,x93643,x93645),x93641)),x93644))
% 164.74/165.09 [9866]~P110(x98665)+~P3(x98665)+P107(f334(f334(f336(x98661),f895(x98662,x98663,x98661,x98664,x98665)),x98663))+~P107(f334(f334(f249(x98665),x98664),f334(f334(f48(x98661,x98665),x98663),x98662)))
% 164.74/165.09 [9871]~P110(x98711)+~P3(x98711)+P107(f334(f334(f249(x98711),x98712),f334(x98713,f895(x98713,x98714,x98715,x98712,x98711))))+~P107(f334(f334(f249(x98711),x98712),f334(f334(f48(x98715,x98711),x98714),x98713)))
% 164.74/165.09 [9950]~P69(x99501)+~P107(f334(f75(x99501,x99501,f90(x99501),x99502,x99503),x99505))+P107(f334(f334(f336(x99501),x99502),x99503))+P107(f334(f75(x99501,x99501,f90(x99501),x99504,f334(f334(f316(x99501),x99502),x99503)),f334(f334(f90(x99501),x99504),x99505)))
% 164.74/165.09 [10164]~P72(x101642)+~P107(f334(f70(x101641),x101645))+E(f334(f334(f6(x101641,x101642),f334(f334(f7(x101641,x101642,x101642),f334(f334(f18(x101641,x101642,f926(x101642,x101642)),f334(f334(f8(a913,f926(x101642,f926(x101642,x101642)),x101641),f109(x101642)),f334(a331,x101643))),x101644)),f2(x101642))),x101645),f2(x101642))+P107(f334(f334(f336(x101641),x101643),x101645))
% 164.74/165.09 [10165]~P76(x101652)+~P107(f334(f70(x101651),x101655))+E(f334(f334(f9(x101651,x101652),f334(f334(f7(x101651,x101652,x101652),f334(f334(f18(x101651,x101652,f926(x101652,x101652)),f334(f334(f8(a913,f926(x101652,f926(x101652,x101652)),x101651),f109(x101652)),f334(a331,x101653))),x101654)),f87(x101652))),x101655),f87(x101652))+P107(f334(f334(f336(x101651),x101653),x101655))
% 164.74/165.09 [10166]~P72(x101662)+~P107(f334(f70(x101661),x101665))+E(f334(f334(f6(x101661,x101662),f334(f334(f7(x101661,x101662,x101662),f334(f334(f18(x101661,x101662,f926(x101662,x101662)),f334(f334(f8(a913,f926(x101662,f926(x101662,x101662)),x101661),f109(x101662)),f334(a331,x101663))),x101664)),f2(x101662))),x101665),f334(x101664,x101663))+~P107(f334(f334(f336(x101661),x101663),x101665))
% 164.74/165.09 [10167]~P76(x101672)+~P107(f334(f70(x101671),x101675))+E(f334(f334(f9(x101671,x101672),f334(f334(f7(x101671,x101672,x101672),f334(f334(f18(x101671,x101672,f926(x101672,x101672)),f334(f334(f8(a913,f926(x101672,f926(x101672,x101672)),x101671),f109(x101672)),f334(a331,x101673))),x101674)),f87(x101672))),x101675),f334(x101674,x101673))+~P107(f334(f334(f336(x101671),x101673),x101675))
% 164.74/165.09 [10221]~P72(x102212)+~P107(f334(f70(x102211),x102215))+E(f334(f334(f6(x102211,x102212),f334(f334(f7(x102211,x102212,x102212),f334(f334(f18(x102211,x102212,f926(x102212,x102212)),f334(f334(f8(a913,f926(x102212,f926(x102212,x102212)),x102211),f109(x102212)),f334(f334(f7(x102211,x102211,a913),a331),x102213))),x102214)),f2(x102212))),x102215),f2(x102212))+P107(f334(f334(f336(x102211),x102213),x102215))
% 164.74/165.09 [10222]~P76(x102222)+~P107(f334(f70(x102221),x102225))+E(f334(f334(f9(x102221,x102222),f334(f334(f7(x102221,x102222,x102222),f334(f334(f18(x102221,x102222,f926(x102222,x102222)),f334(f334(f8(a913,f926(x102222,f926(x102222,x102222)),x102221),f109(x102222)),f334(f334(f7(x102221,x102221,a913),a331),x102223))),x102224)),f87(x102222))),x102225),f87(x102222))+P107(f334(f334(f336(x102221),x102223),x102225))
% 164.74/165.09 [10224]~P72(x102242)+~P107(f334(f70(x102241),x102245))+E(f334(f334(f6(x102241,x102242),f334(f334(f7(x102241,x102242,x102242),f334(f334(f18(x102241,x102242,f926(x102242,x102242)),f334(f334(f8(a913,f926(x102242,f926(x102242,x102242)),x102241),f109(x102242)),f334(f334(f7(x102241,x102241,a913),a331),x102243))),x102244)),f2(x102242))),x102245),f334(x102244,x102243))+~P107(f334(f334(f336(x102241),x102243),x102245))
% 164.74/165.09 [10225]~P76(x102252)+~P107(f334(f70(x102251),x102255))+E(f334(f334(f9(x102251,x102252),f334(f334(f7(x102251,x102252,x102252),f334(f334(f18(x102251,x102252,f926(x102252,x102252)),f334(f334(f8(a913,f926(x102252,f926(x102252,x102252)),x102251),f109(x102252)),f334(f334(f7(x102251,x102251,a913),a331),x102253))),x102254)),f87(x102252))),x102255),f334(x102254,x102253))+~P107(f334(f334(f336(x102251),x102253),x102255))
% 164.74/165.09 [7955]~P63(x79552)+~P107(f334(f70(x79551),x79554))+E(f334(f334(f6(x79551,x79552),x79553),f334(f334(f23(f926(x79551,a913)),x79554),f334(f334(f316(x79551),x79555),f198(f926(x79551,a913))))),f334(f334(f6(x79551,x79552),x79553),x79554))+P107(f334(f334(f336(x79551),x79555),x79554))
% 164.74/165.09 [8459]~P113(x84592)+~P107(f334(f70(x84591),x84594))+E(f334(f334(f6(x84591,x84592),x84593),f334(f334(f23(f926(x84591,a913)),x84594),f334(f334(f316(x84591),x84595),f198(f926(x84591,a913))))),f334(f334(f23(x84592),f334(f334(f6(x84591,x84592),x84593),x84594)),f334(x84593,x84595)))+~P107(f334(f334(f336(x84591),x84595),x84594))
% 164.74/165.09 [8460]~P63(x84602)+~P107(f334(f70(x84601),x84604))+E(f334(f334(f6(x84601,x84602),x84603),f334(f334(f23(f926(x84601,a913)),x84604),f334(f334(f316(x84601),x84605),f198(f926(x84601,a913))))),f334(f334(f23(x84602),f334(f334(f6(x84601,x84602),x84603),x84604)),f334(x84603,x84605)))+~P107(f334(f334(f336(x84601),x84605),x84604))
% 164.74/165.09 [8489]~P63(x84891)+~P107(f334(f70(x84892),x84894))+E(f334(f334(f23(x84891),f334(f334(f6(x84892,x84891),x84893),x84894)),f334(f334(f6(x84892,x84891),x84893),x84895)),f334(f334(f6(x84892,x84891),x84893),f334(f334(f23(f926(x84892,a913)),x84894),x84895)))+~P107(f334(f334(f248(f926(x84892,a913)),x84895),x84894))
% 164.74/165.09 [8508]P107(f334(f70(x85081),f334(x85082,x85083)))+~P107(f334(f70(x85084),x85085))+~P107(f334(f334(f336(x85084),x85083),x85085))+~P107(f334(f70(x85081),f334(f334(f48(x85084,f926(x85081,a913)),x85085),x85082)))
% 164.74/165.09 [8974]~P6(x89741,x89745,x89744)+~E(f334(f293(x89741,x89741,x89744),f334(f334(f316(x89741),x89742),f198(f926(x89741,a913)))),f334(f293(x89741,x89741,x89744),f334(f334(f316(x89741),x89743),f198(f926(x89741,a913)))))+~P107(f334(f334(f336(x89741),x89743),x89745))+P107(f334(f334(f336(f925(x89741,x89741)),f334(f334(f266(x89741,x89741),x89742),x89743)),x89744))
% 164.74/165.09 [9288]~P107(f334(x92881,x92885))+P107(f334(x92881,f879(x92881,x92882,x92883,x92884)))+P107(f334(x92881,f876(x92881,x92882,x92883,x92884)))+~P107(f334(f334(f336(x92884),x92885),f334(f334(f123(f926(x92884,a913)),x92883),x92882)))
% 164.74/165.09 [9473]~P107(f334(x94731,x94735))+P107(f334(x94731,f876(x94731,x94732,x94733,x94734)))+P107(f334(f334(f336(x94734),f879(x94731,x94732,x94733,x94734)),x94732))+~P107(f334(f334(f336(x94734),x94735),f334(f334(f123(f926(x94734,a913)),x94733),x94732)))
% 164.74/165.09 [9474]~P107(f334(x94741,x94745))+P107(f334(x94741,f879(x94741,x94742,x94743,x94744)))+P107(f334(f334(f336(x94744),f876(x94741,x94742,x94743,x94744)),x94743))+~P107(f334(f334(f336(x94744),x94745),f334(f334(f123(f926(x94744,a913)),x94743),x94742)))
% 164.74/165.09 [9480]P107(f334(x94801,x94802))+~P107(f334(x94801,f878(x94801,x94803,x94804,x94805)))+~P107(f334(x94801,f877(x94801,x94803,x94804,x94805)))+~P107(f334(f334(f336(x94805),x94802),f334(f334(f123(f926(x94805,a913)),x94804),x94803)))
% 164.74/165.09 [9486]~P39(x94861,x94864)+~P107(f334(f334(f336(f925(x94861,x94861)),f334(f334(f266(x94861,x94861),x94862),x94865)),x94864))+P107(f334(f334(f336(f925(x94861,x94861)),f334(f334(f266(x94861,x94861),x94862),x94863)),x94864))+~P107(f334(f334(f336(f925(x94861,x94861)),f334(f334(f266(x94861,x94861),x94865),x94863)),x94864))
% 164.74/165.09 [9525]E(x95251,x95252)+~P107(f334(f334(f336(f925(x95253,x95253)),f334(f334(f266(x95253,x95253),x95251),x95252)),f314(x95253,x95255)))+P107(f334(f334(f336(x95253),x95251),x95254))+~P107(f334(f334(f248(f926(f925(x95253,x95253),a913)),x95255),f334(f334(f268(x95253,x95253),x95254),f334(f16(f926(x95253,a913),x95253),x95254))))
% 164.74/165.09 [9543]P107(f334(x95431,x95432))+~P107(f334(x95431,f877(x95431,x95434,x95435,x95433)))+P107(f334(f334(f336(x95433),f878(x95431,x95434,x95435,x95433)),x95434))+~P107(f334(f334(f336(x95433),x95432),f334(f334(f123(f926(x95433,a913)),x95435),x95434)))
% 164.74/165.09 [9544]P107(f334(x95441,x95442))+~P107(f334(x95441,f878(x95441,x95444,x95445,x95443)))+P107(f334(f334(f336(x95443),f877(x95441,x95444,x95445,x95443)),x95445))+~P107(f334(f334(f336(x95443),x95442),f334(f334(f123(f926(x95443,a913)),x95445),x95444)))
% 164.74/165.09 [9611]P107(f334(x96111,x96112))+P107(f334(f334(f336(x96113),f878(x96111,x96114,x96115,x96113)),x96114))+P107(f334(f334(f336(x96113),f877(x96111,x96114,x96115,x96113)),x96115))+~P107(f334(f334(f336(x96113),x96112),f334(f334(f123(f926(x96113,a913)),x96115),x96114)))
% 164.74/165.09 [9613]~P107(f334(x96132,x96135))+P107(f334(f334(f336(x96131),f879(x96132,x96133,x96134,x96131)),x96133))+P107(f334(f334(f336(x96131),f876(x96132,x96133,x96134,x96131)),x96134))+~P107(f334(f334(f336(x96131),x96135),f334(f334(f123(f926(x96131,a913)),x96134),x96133)))
% 164.74/165.09 [9773]~P6(x97731,x97735,x97734)+~P107(f334(f334(f336(x97731),x97733),x97735))+P107(f334(f334(f336(f925(x97731,x97731)),f334(f334(f266(x97731,x97731),x97732),x97733)),x97734))+~P107(f334(f334(f248(f926(x97731,a913)),f334(f293(x97731,x97731,x97734),f334(f334(f316(x97731),x97733),f198(f926(x97731,a913))))),f334(f293(x97731,x97731,x97734),f334(f334(f316(x97731),x97732),f198(f926(x97731,a913))))))
% 164.74/165.09 [9899]~P110(x98995)+~P3(x98995)+P107(f334(f334(f336(x98991),f688(x98992,x98993,x98994,x98991,x98995)),x98994))+~P107(f334(f334(f249(x98995),f334(f334(f49(x98991,x98995),x98994),x98993)),x98992))
% 164.74/165.09 [9933]~P90(x99335)+~P82(x99335)+P107(f334(f334(f336(x99331),f756(x99332,x99333,x99334,x99331,x99335)),f334(f182(x99331),x99334)))+P107(f334(f334(f248(x99335),f334(f175(x99335),f334(f334(f164(x99331,x99335),x99333),x99334))),f334(f175(x99335),f334(f334(f164(x99331,x99335),x99332),x99334))))
% 164.74/165.09 [10043]~P110(x100431)+~P3(x100431)+P107(f334(f334(f249(x100431),f334(x100432,f688(x100433,x100432,x100434,x100435,x100431))),x100433))+~P107(f334(f334(f249(x100431),f334(f334(f49(x100435,x100431),x100434),x100432)),x100433))
% 164.74/165.09 [10182]~P90(x101821)+~P82(x101821)+~P107(f334(f334(f248(x101821),f334(x101823,f756(x101825,x101823,x101824,x101822,x101821))),f334(x101825,f756(x101825,x101823,x101824,x101822,x101821))))+P107(f334(f334(f248(x101821),f334(f175(x101821),f334(f334(f164(x101822,x101821),x101823),x101824))),f334(f175(x101821),f334(f334(f164(x101822,x101821),x101825),x101824))))
% 164.74/165.09 [8816]~P72(x88161)+~P107(f334(f70(x88164),x88165))+~P107(f334(f334(f336(x88164),x88163),x88165))+E(f334(f334(f89(x88161),f334(x88162,x88163)),f334(f334(f6(x88164,x88161),x88162),f334(f334(f23(f926(x88164,a913)),x88165),f334(f334(f316(x88164),x88163),f198(f926(x88164,a913)))))),f334(f334(f6(x88164,x88161),x88162),x88165))
% 164.74/165.09 [8817]~P76(x88171)+~P107(f334(f70(x88174),x88175))+~P107(f334(f334(f336(x88174),x88173),x88175))+E(f334(f334(f90(x88171),f334(x88172,x88173)),f334(f334(f9(x88174,x88171),x88172),f334(f334(f23(f926(x88174,a913)),x88175),f334(f334(f316(x88174),x88173),f198(f926(x88174,a913)))))),f334(f334(f9(x88174,x88171),x88172),x88175))
% 164.74/165.09 [8876]~P16(x88761,x88764,x88765)+~P107(f334(f70(x88761),x88762))+E(f334(f334(f23(f926(x88761,a913)),x88762),f334(f334(f316(x88761),x88763),f198(f926(x88761,a913)))),f198(f926(x88761,a913)))+E(f334(f334(x88764,x88763),f334(x88765,f334(f334(f23(f926(x88761,a913)),x88762),f334(f334(f316(x88761),x88763),f198(f926(x88761,a913)))))),f334(x88765,f334(f334(f316(x88761),x88763),x88762)))
% 164.74/165.09 [9266]~P76(x92661)+~P107(f334(f70(x92662),x92665))+~P107(f334(f70(x92662),x92664))+E(f334(f334(f90(x92661),f334(f334(f9(x92662,x92661),x92663),f334(f334(f123(f926(x92662,a913)),x92664),x92665))),f334(f334(f9(x92662,x92661),x92663),f334(f334(f114(f926(x92662,a913)),x92664),x92665))),f334(f334(f90(x92661),f334(f334(f9(x92662,x92661),x92663),x92664)),f334(f334(f9(x92662,x92661),x92663),x92665)))
% 164.74/165.09 [9267]~P72(x92671)+~P107(f334(f70(x92672),x92675))+~P107(f334(f70(x92672),x92674))+E(f334(f334(f89(x92671),f334(f334(f6(x92672,x92671),x92673),f334(f334(f123(f926(x92672,a913)),x92674),x92675))),f334(f334(f6(x92672,x92671),x92673),f334(f334(f114(f926(x92672,a913)),x92674),x92675))),f334(f334(f89(x92671),f334(f334(f6(x92672,x92671),x92673),x92674)),f334(f334(f6(x92672,x92671),x92673),x92675)))
% 164.74/165.09 [9408]~P63(x94081)+~P107(f334(f70(x94082),x94085))+~P107(f334(f70(x94082),x94084))+E(f334(f334(f23(x94081),f334(f334(f89(x94081),f334(f334(f6(x94082,x94081),x94083),x94084)),f334(f334(f6(x94082,x94081),x94083),x94085))),f334(f334(f6(x94082,x94081),x94083),f334(f334(f114(f926(x94082,a913)),x94084),x94085))),f334(f334(f6(x94082,x94081),x94083),f334(f334(f123(f926(x94082,a913)),x94084),x94085)))
% 164.74/165.09 [9623]~P23(x96231,x96232,x96233,x96235)+~P23(x96231,x96232,x96233,x96234)+P23(x96231,x96232,x96233,f334(f334(f123(f926(x96231,a913)),x96234),x96235))+~E(f334(f334(f114(f926(x96232,a913)),f334(f317(x96231,x96232,x96233),f334(f334(f23(f926(x96231,a913)),x96234),x96235))),f334(f317(x96231,x96232,x96233),f334(f334(f23(f926(x96231,a913)),x96235),x96234))),f198(f926(x96232,a913)))
% 164.74/165.09 [9747]E(x97471,f2(a1))+~P107(f334(f334(f249(a1),f2(a1)),x97473))+~P107(f334(f58(x97472,x97471),f334(f334(f266(a1,a1),x97474),x97475)))+P107(f334(f58(x97472,f334(f334(f90(a1),x97471),x97473)),f334(f334(f266(a1,a1),f334(f334(f45(a1),x97474),x97473)),f334(f334(f89(a1),f334(f334(f90(a1),x97471),f54(a1,x97474,x97473))),x97475))))
% 164.74/165.09 [9756]~P107(f334(f334(f249(a919),f2(a919)),x97563))+~P107(f334(f334(f249(a919),f2(a919)),x97562))+~P107(f334(f57(x97561,x97562),f334(f334(f266(a919,a919),x97564),x97565)))+P107(f334(f57(x97561,f334(f334(f90(a919),x97562),x97563)),f334(f334(f266(a919,a919),f334(f334(f45(a919),x97564),x97563)),f334(f334(f89(a919),f334(f334(f90(a919),x97562),f54(a919,x97564,x97563))),x97565))))
% 164.74/165.09 [9806]~P76(x98061)+~P107(f334(f70(x98062),x98065))+~P107(f334(f70(x98062),x98064))+E(f334(f334(f90(x98061),f334(f334(f334(f74(x98061,x98062,f90(x98061)),x98063),f87(x98061)),f334(f334(f123(f926(x98062,a913)),x98064),x98065))),f334(f334(f334(f74(x98061,x98062,f90(x98061)),x98063),f87(x98061)),f334(f334(f114(f926(x98062,a913)),x98064),x98065))),f334(f334(f90(x98061),f334(f334(f334(f74(x98061,x98062,f90(x98061)),x98063),f87(x98061)),x98064)),f334(f334(f334(f74(x98061,x98062,f90(x98061)),x98063),f87(x98061)),x98065)))
% 164.74/165.09 [9808]~E(f334(f334(f185(x98081),x98085),x98082),f334(f334(f185(x98081),x98085),x98083))+P107(f334(f334(f336(f925(f920(x98081),f920(x98081))),f334(f334(f266(f920(x98081),f920(x98081)),x98082),x98083)),f157(x98081,x98084)))+~P107(f334(f334(f249(a919),x98085),f334(f334(f246(a919),f334(f199(f920(x98081)),x98082)),f334(f199(f920(x98081)),x98083))))+~P107(f334(f334(f336(f925(x98081,x98081)),f334(f334(f266(x98081,x98081),f334(f334(f174(x98081),x98082),x98085)),f334(f334(f174(x98081),x98083),x98085))),x98084))
% 164.74/165.09 [9921]~P90(x99215)+~P146(x99215)+P107(f334(f334(f336(x99211),f501(x99212,x99213,x99214,x99211,x99215)),x99214))+P107(f334(f334(f248(x99215),f334(f334(f6(x99211,x99215),x99213),x99214)),f334(f334(f90(x99215),f334(f113(x99215),f334(f44(x99211),x99214))),x99212)))
% 164.74/165.09 [10111]~P90(x101111)+~P146(x101111)+~P107(f334(f334(f248(x101111),f334(x101113,f501(x101115,x101113,x101114,x101112,x101111))),x101115))+P107(f334(f334(f248(x101111),f334(f334(f6(x101112,x101111),x101113),x101114)),f334(f334(f90(x101111),f334(f113(x101111),f334(f44(x101112),x101114))),x101115)))
% 164.74/165.09 [8845]E(f334(f334(f144(x88451),x88452),x88453),f334(f334(f144(x88451),x88454),x88455))+~E(f334(f334(f185(x88451),f334(f199(f920(x88451)),x88452)),x88454),x88452)+~E(f334(f334(f144(x88451),f334(f334(f148(x88451),f334(f199(f920(x88451)),x88452)),x88454)),x88455),x88453)+P107(f334(f334(f248(a919),f334(f199(f920(x88451)),x88454)),f334(f199(f920(x88451)),x88452)))
% 164.74/165.09 [8973]E(f334(f334(f144(x89731),x89732),x89733),f334(f334(f144(x89731),x89734),x89735))+~E(f334(f334(f185(x89731),f334(f199(f920(x89731)),x89732)),x89734),x89732)+~E(x89733,f334(f334(f144(x89731),f334(f334(f148(x89731),f334(f199(f920(x89731)),x89732)),x89734)),x89735))+~P107(f334(f334(f248(a919),f334(f199(f920(x89731)),x89732)),f334(f199(f920(x89731)),x89734)))
% 164.74/165.09 [10244]~P107(f334(x102445,x102444))+~P107(f334(f70(x102442),f334(f254(x102442),x102445)))+P107(f334(f70(x102441),f334(f254(x102441),f334(f334(f7(x102441,x102442,a913),x102443),x102444))))+~P107(f334(f70(x102441),f334(f254(x102441),f334(f334(f8(f926(x102442,a913),a913,x102441),f96(x102442)),f334(f334(f8(f926(x102442,a913),f926(x102442,a913),x102441),f334(f18(x102442,a913,a913),f334(f334(f8(a913,f926(a913,a913),x102442),a333),x102445))),x102443)))))
% 164.74/165.09 [10308]~P107(f334(f70(x103082),x103085))+~P107(f334(f334(f336(x103082),x103084),x103085))+P107(f334(f70(x103081),f334(f254(x103081),f334(f334(f7(x103081,x103082,a913),x103083),x103084))))+~P107(f334(f70(x103081),f334(f254(x103081),f334(f334(f8(f926(x103082,a913),a913,x103081),f96(x103082)),f334(f334(f8(f926(x103082,a913),f926(x103082,a913),x103081),f334(f18(x103082,a913,a913),f334(f334(f8(a913,f926(a913,a913),x103082),a333),f334(f334(f7(x103082,f926(x103082,a913),a913),f336(x103082)),x103085)))),x103083)))))
% 164.74/165.09 [8627]~P17(x86275,x86271,x86276,x86272)+E(f334(f81(x86271,x86271,x86271,f334(x86272,x86273)),f334(x86272,x86274)),f334(f81(x86271,x86271,x86271,f334(x86272,x86274)),f334(x86272,x86273)))+~P107(f334(f70(x86275),x86274))+~P107(f334(f70(x86275),x86273))
% 164.74/165.09 [8010]~P23(x80101,x80102,x80104,x80103)+~E(f334(x80104,x80106),x80105)+E(f334(f86(x80101,x80102,x80103,x80104),x80105),x80106)+~P107(f334(f334(f336(x80101),x80106),x80103))
% 164.74/165.09 [8011]~P23(x80111,x80112,x80114,x80113)+~E(f334(x80114,x80116),x80115)+E(f334(f101(x80111,x80112,x80113,x80114),x80115),x80116)+~P107(f334(f334(f336(x80111),x80116),x80113))
% 164.74/165.09 [8209]~P18(x82096,x82091,x82094,x82092)+E(f334(f81(x82091,x82091,x82091,f334(x82092,x82093)),f334(x82094,x82095)),f334(x82092,x82093))+~P107(f334(f70(x82096),x82093))+~P107(f334(f334(f336(x82096),x82095),x82093))
% 164.74/165.09 [9356]E(x93561,x93562)+~E(f334(f101(x93563,x93564,x93565,x93566),x93561),f334(f101(x93563,x93564,x93565,x93566),x93562))+~P107(f334(f334(f336(x93564),x93562),f334(f317(x93563,x93564,x93566),x93565)))+~P107(f334(f334(f336(x93564),x93561),f334(f317(x93563,x93564,x93566),x93565)))
% 164.74/165.09 [9458]~P17(x94583,x94581,x94586,x94582)+E(f334(f81(x94581,x94581,x94581,f334(x94582,f334(f334(f23(f926(x94583,a913)),x94584),f334(f334(f316(x94583),x94585),f198(f926(x94583,a913)))))),f334(x94586,x94585)),f334(x94582,x94584))+~P107(f334(f70(x94583),x94584))+~P107(f334(f334(f336(x94583),x94585),x94584))
% 164.74/165.09 [7097]~P61(x70971)+~E(f54(x70971,x70973,x70974),f54(x70971,x70976,x70974))+~E(f54(x70971,x70972,x70974),f54(x70971,x70975,x70974))+E(f54(x70971,f334(f334(f23(x70971),x70972),x70973),x70974),f54(x70971,f334(f334(f23(x70971),x70975),x70976),x70974))
% 164.74/165.09 [7098]~P60(x70981)+~E(f54(x70981,x70983,x70984),f54(x70981,x70986,x70984))+~E(f54(x70981,x70982,x70984),f54(x70981,x70985,x70984))+E(f54(x70981,f334(f334(f90(x70981),x70982),x70983),x70984),f54(x70981,f334(f334(f90(x70981),x70985),x70986),x70984))
% 164.74/165.09 [7099]~P60(x70991)+~E(f54(x70991,x70993,x70994),f54(x70991,x70996,x70994))+~E(f54(x70991,x70992,x70994),f54(x70991,x70995,x70994))+E(f54(x70991,f334(f334(f89(x70991),x70992),x70993),x70994),f54(x70991,f334(f334(f89(x70991),x70995),x70996),x70994))
% 164.74/165.09 [7905]~P14(x79051,x79052,x79053)+~P107(f334(f70(x79051),x79056))+E(f334(f334(f73(x79051,x79052,x79053),x79054),f334(f334(f316(x79051),x79055),x79056)),f334(f334(f73(x79051,x79052,x79053),f334(f334(x79053,x79055),x79054)),x79056))+P107(f334(f334(f336(x79051),x79055),x79056))
% 164.74/165.09 [7969]~P3(x79691)+P107(f334(f334(f248(x79691),x79692),f334(x79693,x79694)))+~P107(f334(f334(f336(x79695),x79694),x79696))+~P107(f334(f334(f248(x79691),x79692),f334(f334(f49(x79695,x79691),x79696),x79693)))
% 164.74/165.09 [8128]~P14(x81281,x81282,x81283)+~P107(f334(f70(x81281),x81286))+E(f334(f334(f73(x81281,x81282,x81283),x81284),f334(f334(f316(x81281),x81285),x81286)),f334(f334(x81283,x81285),f334(f334(f73(x81281,x81282,x81283),x81284),x81286)))+P107(f334(f334(f336(x81281),x81285),x81286))
% 164.74/165.09 [8226]~P110(x82263)+~P107(f334(x82262,x82265))+~P12(x82263,f334(f334(f164(x82261,x82263),x82264),x82266))+E(f334(f146(x82261,x82262),f334(f334(f158(x82261,x82263,x82264),x82265),x82266)),f334(f334(f158(x82261,x82263,x82264),x82265),f334(f146(x82261,x82262),x82266)))
% 164.74/165.09 [8249]E(x82491,x82492)+E(x82493,f2(a1))+~P107(f334(f58(x82494,x82493),f334(f334(f266(a1,a1),x82495),x82492)))+~P107(f334(f58(x82494,x82493),f334(f334(f266(a1,a1),x82496),x82491)))
% 164.74/165.09 [8250]E(x82501,x82502)+E(x82503,f2(a1))+~P107(f334(f58(x82504,x82503),f334(f334(f266(a1,a1),x82502),x82505)))+~P107(f334(f58(x82504,x82503),f334(f334(f266(a1,a1),x82501),x82506)))
% 164.74/165.09 [8269]~P17(x82692,x82695,x82696,x82691)+~P107(f334(f70(x82692),x82694))+E(f334(x82691,f334(f334(f316(x82692),x82693),x82694)),f334(f81(x82695,x82695,x82695,f334(x82691,x82694)),f334(x82696,x82693)))+P107(f334(f334(f336(x82692),x82693),x82694))
% 164.74/165.09 [8492]~P18(x84925,x84921,x84926,x84922)+E(f334(f81(x84921,x84921,x84921,f334(x84922,x84923)),f334(x84922,x84924)),f334(x84922,x84923))+~P107(f334(f70(x84925),x84923))+~P107(f334(f334(f248(f926(x84925,a913)),x84924),x84923))
% 164.74/165.09 [9667]~P23(x96671,x96672,x96674,x96673)+~P107(f334(f334(f336(x96672),x96675),f334(f317(x96671,x96672,x96674),x96673)))+P107(f334(f334(f336(x96671),f334(f86(x96671,x96672,x96673,x96674),x96675)),x96676))+~P107(f334(f334(f248(f926(x96671,a913)),x96673),x96676))
% 164.74/165.09 [10058]~P72(x100582)+~E(f481(x100581,x100583,x100585,x100586,x100584,x100582),f482(x100581,x100583,x100585,x100586,x100584,x100582))+~P107(f334(f70(x100584),x100586))+E(f334(f334(f6(x100581,x100582),x100583),f334(f317(x100584,x100581,x100585),x100586)),f334(f334(f6(x100584,x100582),f334(f81(x100581,x100582,x100584,x100583),x100585)),x100586))
% 164.74/165.09 [10090]~P72(x100906)+E(f334(x100901,f481(x100902,x100903,x100901,x100904,x100905,x100906)),f334(x100901,f482(x100902,x100903,x100901,x100904,x100905,x100906)))+E(f334(f334(f6(x100902,x100906),x100903),f334(f317(x100905,x100902,x100901),x100904)),f334(f334(f6(x100905,x100906),f334(f81(x100902,x100906,x100905,x100903),x100901)),x100904))+~P107(f334(f70(x100905),x100904))
% 164.74/165.09 [10132]~P72(x101322)+~E(f334(x101323,f334(x101325,f482(x101321,x101323,x101325,x101326,x101324,x101322))),f2(x101322))+~P107(f334(f70(x101324),x101326))+E(f334(f334(f6(x101321,x101322),x101323),f334(f317(x101324,x101321,x101325),x101326)),f334(f334(f6(x101324,x101322),f334(f81(x101321,x101322,x101324,x101323),x101325)),x101326))
% 164.74/165.09 [10190]~P72(x101902)+~P107(f334(f70(x101904),x101906))+E(f334(f334(f6(x101901,x101902),x101903),f334(f317(x101904,x101901,x101905),x101906)),f334(f334(f6(x101904,x101902),f334(f81(x101901,x101902,x101904,x101903),x101905)),x101906))+P107(f334(f334(f336(x101904),f482(x101901,x101903,x101905,x101906,x101904,x101902)),x101906))
% 164.74/165.09 [10191]~P72(x101912)+~P107(f334(f70(x101914),x101916))+E(f334(f334(f6(x101911,x101912),x101913),f334(f317(x101914,x101911,x101915),x101916)),f334(f334(f6(x101914,x101912),f334(f81(x101911,x101912,x101914,x101913),x101915)),x101916))+P107(f334(f334(f336(x101914),f481(x101911,x101913,x101915,x101916,x101914,x101912)),x101916))
% 164.74/165.09 [10307]~P76(x103071)+~P107(f334(f70(x103072),x103076))+E(f334(f334(f334(f74(x103071,x103072,f90(x103071)),f334(f334(f18(x103072,f926(x103073,a913),x103071),f334(f334(f7(x103072,x103071,f926(f926(x103073,a913),x103071)),f334(f334(f8(f926(x103073,x103071),f926(x103071,f926(f926(x103073,a913),x103071)),x103072),f74(x103071,x103073,f90(x103071))),x103074)),f87(x103071))),x103075)),f87(x103071)),x103076),f334(f334(f334(f74(x103071,f925(x103072,x103073),f90(x103071)),f334(f270(x103072,x103073,x103071),x103074)),f87(x103071)),f334(f334(f268(x103072,x103073),x103076),x103075)))+P107(f334(f334(f336(x103072),f447(x103074,x103075,x103073,x103076,x103072,x103071)),x103076))
% 164.74/165.09 [10328]~P76(x103281)+~P107(f334(f70(x103282),x103286))+E(f334(f334(f334(f74(x103281,x103282,f90(x103281)),f334(f334(f18(x103282,f926(x103283,a913),x103281),f334(f334(f7(x103282,x103281,f926(f926(x103283,a913),x103281)),f334(f334(f8(f926(x103283,x103281),f926(x103281,f926(f926(x103283,a913),x103281)),x103282),f74(x103281,x103283,f90(x103281))),x103284)),f87(x103281))),x103285)),f87(x103281)),x103286),f334(f334(f334(f74(x103281,f925(x103282,x103283),f90(x103281)),f334(f270(x103282,x103283,x103281),x103284)),f87(x103281)),f334(f334(f268(x103282,x103283),x103286),x103285)))+~P107(f334(f70(x103283),f334(x103285,f447(x103284,x103285,x103283,x103286,x103282,x103281))))
% 164.74/165.09 [8404]~P18(x84042,x84045,x84046,x84041)+~P107(f334(f70(x84042),x84044))+~P107(f334(f70(x84042),x84043))+E(f334(x84041,f334(f334(f123(f926(x84042,a913)),x84043),x84044)),f334(f81(x84045,x84045,x84045,f334(x84041,x84043)),f334(x84041,x84044)))
% 164.74/165.09 [8628]~P3(x86281)+P107(f334(f334(f248(x86281),f334(x86282,x86283)),x86284))+~P107(f334(f334(f336(x86285),x86283),x86286))+~P107(f334(f334(f248(x86281),f334(f334(f48(x86285,x86281),x86286),x86282)),x86284))
% 164.74/165.09 [9061]~P23(x90612,x90611,x90613,x90616)+E(f334(f334(f23(f926(x90611,a913)),f334(f317(x90612,x90611,x90613),x90614)),f334(f317(x90612,x90611,x90613),x90615)),f334(f317(x90612,x90611,x90613),f334(f334(f23(f926(x90612,a913)),x90614),x90615)))+~P107(f334(f334(f248(f926(x90612,a913)),x90615),x90616))+~P107(f334(f334(f248(f926(x90612,a913)),x90614),x90616))
% 164.74/165.09 [9062]~P23(x90622,x90621,x90623,x90626)+E(f334(f334(f114(f926(x90621,a913)),f334(f317(x90622,x90621,x90623),x90624)),f334(f317(x90622,x90621,x90623),x90625)),f334(f317(x90622,x90621,x90623),f334(f334(f114(f926(x90622,a913)),x90624),x90625)))+~P107(f334(f334(f248(f926(x90622,a913)),x90625),x90626))+~P107(f334(f334(f248(f926(x90622,a913)),x90624),x90626))
% 164.74/165.09 [9099]~P107(f334(x90991,x90993))+~P107(f334(f334(f334(f334(a206,x90992),x90993),x90994),x90996))+~P107(f334(f334(f334(f334(a206,f33(x90991,x90992)),x90996),x90994),x90995))+P107(f334(f334(f334(f334(a206,f33(x90991,x90992)),x90993),x90994),x90995))
% 164.74/165.09 [9332]E(x93321,x93322)+~P54(x93323,x93324,x93325)+~P107(f334(f334(f336(f925(x93323,x93324)),f334(f334(f266(x93323,x93324),x93326),x93322)),x93325))+~P107(f334(f334(f336(f925(x93323,x93324)),f334(f334(f266(x93323,x93324),x93326),x93321)),x93325))
% 164.74/165.09 [10128]~P69(x101281)+~E(f334(x101283,f654(x101284,x101286,x101283,x101285,x101282,x101281)),f334(x101286,f654(x101284,x101286,x101283,x101285,x101282,x101281)))+~P107(f334(f70(x101282),x101285))+E(f334(f334(f334(f74(x101281,x101282,f90(x101281)),x101283),x101284),x101285),f334(f334(f334(f74(x101281,x101282,f90(x101281)),x101286),x101284),x101285))
% 164.74/165.09 [10188]~P69(x101881)+~P107(f334(f70(x101882),x101885))+E(f334(f334(f334(f74(x101881,x101882,f90(x101881)),x101883),x101884),x101885),f334(f334(f334(f74(x101881,x101882,f90(x101881)),x101886),x101884),x101885))+P107(f334(f334(f336(x101882),f654(x101884,x101883,x101886,x101885,x101882,x101881)),x101885))
% 164.74/165.09 [8859]~P69(x88591)+~P107(f334(f70(x88592),x88596))+P107(f334(f334(f336(x88592),x88595),x88596))+E(f334(f334(f334(f74(x88591,x88592,f90(x88591)),x88593),x88594),f334(f334(f316(x88592),x88595),x88596)),f334(f334(f90(x88591),f334(x88593,x88595)),f334(f334(f334(f74(x88591,x88592,f90(x88591)),x88593),x88594),x88596)))
% 164.74/165.09 [8911]~P6(x89111,x89116,x89113)+~P10(x89111,f926(x89112,a913),x89113,x89115)+~P107(f334(f334(f336(x89111),x89114),x89116))+E(f334(f334(f48(x89111,f926(x89112,a913)),f334(f293(x89111,x89111,x89113),f334(f334(f316(x89111),x89114),f198(f926(x89111,a913))))),x89115),f334(x89115,x89114))
% 164.74/165.09 [9036]~P14(x90363,x90364,x90361)+~P107(f334(f70(x90363),x90366))+~P107(f334(f334(f336(x90363),x90362),x90366))+E(f334(f334(x90361,x90362),f334(f334(f73(x90363,x90364,x90361),x90365),f334(f334(f23(f926(x90363,a913)),x90366),f334(f334(f316(x90363),x90362),f198(f926(x90363,a913)))))),f334(f334(f73(x90363,x90364,x90361),x90365),x90366))
% 164.74/165.09 [9342]~P17(x93423,x93421,x93426,x93422)+~P107(f334(f70(x93423),x93425))+~P107(f334(f70(x93423),x93424))+E(f334(f81(x93421,x93421,x93421,f334(x93422,f334(f334(f123(f926(x93423,a913)),x93424),x93425))),f334(x93422,f334(f334(f114(f926(x93423,a913)),x93424),x93425))),f334(f81(x93421,x93421,x93421,f334(x93422,x93424)),f334(x93422,x93425)))
% 164.74/165.09 [9693]~E(x96933,f334(f334(f169(x96931,x96932),x96935),x96936))+P107(f334(f334(f336(f925(f920(x96931),f920(x96931))),f334(f334(f266(f920(x96931),f920(x96931)),x96932),x96933)),f167(x96931,x96934)))+~P107(f334(f334(f249(a919),x96935),f334(f199(f920(x96931)),x96932)))+~P107(f334(f334(f336(f925(x96931,x96931)),f334(f334(f266(x96931,x96931),f334(f334(f174(x96931),x96932),x96935)),x96936)),x96934))
% 164.74/165.09 [10201]~P72(x102012)+~P107(f334(f70(x102011),x102016))+P107(f334(f334(f336(x102011),f446(x102014,x102015,x102013,x102016,x102011,x102012)),x102016))+E(f334(f334(f6(x102011,x102012),f334(f334(f18(x102011,f926(x102013,a913),x102012),f334(f334(f8(f926(x102013,x102012),f926(f926(x102013,a913),x102012),x102011),f6(x102013,x102012)),x102014)),x102015)),x102016),f334(f334(f6(f925(x102011,x102013),x102012),f334(f270(x102011,x102013,x102012),x102014)),f334(f334(f268(x102011,x102013),x102016),x102015)))
% 164.74/165.09 [10202]~P76(x102022)+~P107(f334(f70(x102021),x102026))+P107(f334(f334(f336(x102021),f551(x102024,x102025,x102023,x102026,x102021,x102022)),x102026))+E(f334(f334(f9(x102021,x102022),f334(f334(f18(x102021,f926(x102023,a913),x102022),f334(f334(f8(f926(x102023,x102022),f926(f926(x102023,a913),x102022),x102021),f9(x102023,x102022)),x102024)),x102025)),x102026),f334(f334(f9(f925(x102021,x102023),x102022),f334(f270(x102021,x102023,x102022),x102024)),f334(f334(f268(x102021,x102023),x102026),x102025)))
% 164.74/165.09 [10241]~P72(x102412)+~P107(f334(f70(x102411),x102416))+~P107(f334(f70(x102413),f334(x102415,f446(x102414,x102415,x102413,x102416,x102411,x102412))))+E(f334(f334(f6(x102411,x102412),f334(f334(f18(x102411,f926(x102413,a913),x102412),f334(f334(f8(f926(x102413,x102412),f926(f926(x102413,a913),x102412),x102411),f6(x102413,x102412)),x102414)),x102415)),x102416),f334(f334(f6(f925(x102411,x102413),x102412),f334(f270(x102411,x102413,x102412),x102414)),f334(f334(f268(x102411,x102413),x102416),x102415)))
% 164.74/165.09 [10242]~P76(x102422)+~P107(f334(f70(x102421),x102426))+~P107(f334(f70(x102423),f334(x102425,f551(x102424,x102425,x102423,x102426,x102421,x102422))))+E(f334(f334(f9(x102421,x102422),f334(f334(f18(x102421,f926(x102423,a913),x102422),f334(f334(f8(f926(x102423,x102422),f926(f926(x102423,a913),x102422),x102421),f9(x102423,x102422)),x102424)),x102425)),x102426),f334(f334(f9(f925(x102421,x102423),x102422),f334(f270(x102421,x102423,x102422),x102424)),f334(f334(f268(x102421,x102423),x102426),x102425)))
% 164.74/165.09 [10223]~P76(x102232)+~P107(f334(f70(x102231),x102236))+P107(f334(f334(f336(x102231),x102233),x102236))+E(f334(f334(f9(x102231,x102232),f334(f334(f7(x102231,x102232,x102232),f334(f334(f18(x102231,x102232,f926(x102232,x102232)),f334(f334(f8(a913,f926(x102232,f926(x102232,x102232)),x102231),f109(x102232)),f334(f334(f7(x102231,x102231,a913),a331),x102233))),x102234)),x102235)),x102236),f334(f334(f258(x102232),x102235),f334(f44(x102231),x102236)))
% 164.74/165.09 [10228]~P76(x102282)+~P107(f334(f70(x102281),x102286))+~P107(f334(f334(f336(x102281),x102283),x102286))+E(f334(f334(f9(x102281,x102282),f334(f334(f7(x102281,x102282,x102282),f334(f334(f18(x102281,x102282,f926(x102282,x102282)),f334(f334(f8(a913,f926(x102282,f926(x102282,x102282)),x102281),f109(x102282)),f334(f334(f7(x102281,x102281,a913),a331),x102283))),x102284)),x102285)),x102286),f334(f334(f90(x102282),f334(x102284,x102283)),f334(f334(f258(x102282),x102285),f334(f334(f23(a919),f334(f44(x102281),x102286)),f87(a919)))))
% 164.74/165.09 [10300]~P107(f334(f70(x103001),x103005))+~P107(f334(f70(x103002),x103003))+P107(f334(f334(f336(x103002),f454(x103006,x103004,x103003,x103002,x103005,x103001)),x103003))+E(f334(f334(f6(x103001,a919),f334(f334(f8(f926(x103002,a913),a919,x103001),f44(x103002)),f334(f334(f8(f926(x103002,a913),f926(x103002,a913),x103001),f254(x103002)),f334(f334(f8(f926(x103002,a913),f926(x103002,a913),x103001),f334(f18(x103002,a913,a913),f334(f334(f8(a913,f926(a913,a913),x103002),a333),f334(f334(f7(x103002,f926(x103002,a913),a913),f336(x103002)),x103003)))),x103004)))),x103005),f334(f334(f90(a919),x103006),f334(f44(x103002),x103003)))
% 164.74/165.09 [10301]~P107(f334(f70(x103011),x103015))+~P107(f334(f70(x103012),x103013))+P107(f334(f334(f336(x103012),f455(x103016,x103014,x103013,x103012,x103015,x103011)),x103013))+E(f334(f334(f6(x103011,a919),f334(f334(f8(f926(x103012,a913),a919,x103011),f44(x103012)),f334(f334(f8(f926(x103012,a913),f926(x103012,a913),x103011),f254(x103012)),f334(f334(f8(f926(x103012,a913),f926(x103012,a913),x103011),f334(f18(x103012,a913,a913),f334(f334(f8(a913,f926(a913,a913),x103012),a333),f334(f334(f7(x103012,f926(x103012,a913),a913),f336(x103012)),x103013)))),x103014)))),x103015),f334(f334(f6(x103012,a919),x103016),x103013))
% 164.74/165.09 [10342]~P107(f334(f70(x103422),x103423))+~P107(f334(f70(x103421),x103425))+~E(f334(f44(x103421),f334(f254(x103421),f334(f334(f18(x103421,a913,a913),f334(f334(f8(a913,f926(a913,a913),x103421),a333),f334(f334(f7(x103421,f926(x103421,a913),a913),f336(x103421)),x103425))),f334(f334(f7(x103421,x103422,a913),x103424),f454(x103426,x103424,x103423,x103422,x103425,x103421))))),x103426)+E(f334(f334(f6(x103421,a919),f334(f334(f8(f926(x103422,a913),a919,x103421),f44(x103422)),f334(f334(f8(f926(x103422,a913),f926(x103422,a913),x103421),f254(x103422)),f334(f334(f8(f926(x103422,a913),f926(x103422,a913),x103421),f334(f18(x103422,a913,a913),f334(f334(f8(a913,f926(a913,a913),x103422),a333),f334(f334(f7(x103422,f926(x103422,a913),a913),f336(x103422)),x103423)))),x103424)))),x103425),f334(f334(f90(a919),x103426),f334(f44(x103422),x103423)))
% 164.74/165.09 [10344]~P107(f334(f70(x103442),x103443))+~P107(f334(f70(x103441),x103445))+~E(f334(f44(x103441),f334(f254(x103441),f334(f334(f18(x103441,a913,a913),f334(f334(f8(a913,f926(a913,a913),x103441),a333),f334(f334(f7(x103441,f926(x103441,a913),a913),f336(x103441)),x103445))),f334(f334(f7(x103441,x103442,a913),x103444),f455(x103446,x103444,x103443,x103442,x103445,x103441))))),f334(x103446,f455(x103446,x103444,x103443,x103442,x103445,x103441)))+E(f334(f334(f6(x103441,a919),f334(f334(f8(f926(x103442,a913),a919,x103441),f44(x103442)),f334(f334(f8(f926(x103442,a913),f926(x103442,a913),x103441),f254(x103442)),f334(f334(f8(f926(x103442,a913),f926(x103442,a913),x103441),f334(f18(x103442,a913,a913),f334(f334(f8(a913,f926(a913,a913),x103442),a333),f334(f334(f7(x103442,f926(x103442,a913),a913),f336(x103442)),x103443)))),x103444)))),x103445),f334(f334(f6(x103442,a919),x103446),x103443))
% 164.74/165.09 [9982]E(x99821,x99822)+~P14(x99823,x99824,x99825)+~P107(f334(f75(x99823,x99824,x99825,x99826,x99827),x99822))+~P107(f334(f75(x99823,x99824,x99825,x99826,x99827),x99821))
% 164.74/165.09 [9777]P107(f334(x97771,x97772))+~P107(f334(f334(f336(x97777),x97772),f334(x97776,x97774)))+~P107(f334(x97771,f890(x97771,x97776,x97775,x97773,x97777)))+~P107(f334(f334(f336(x97773),x97774),x97775))
% 164.74/165.09 [10215]~P14(x102157,x102156,x102151)+E(f334(f334(x102151,x102152),f685(x102152,x102153,x102154,x102155,x102151,x102156,x102157)),x102153)+~P107(f334(f75(x102157,x102156,x102151,x102155,x102154),x102153))+~P107(f334(f334(f336(x102157),x102152),x102154))
% 164.74/165.09 [10282]~P14(x102821,x102822,x102823)+~P107(f334(f75(x102821,x102822,x102823,x102824,x102825),x102827))+P107(f334(f75(x102821,x102822,x102823,x102824,f334(f334(f23(f926(x102821,a913)),x102825),f334(f334(f316(x102821),x102826),f198(f926(x102821,a913))))),f685(x102826,x102827,x102825,x102824,x102823,x102822,x102821)))+~P107(f334(f334(f336(x102821),x102826),x102825))
% 164.74/165.09 [9415]P24(x94151,x94152,x94153,x94154,x94155)+~P24(x94151,x94152,x94153,x94156,x94157)+~E(f334(f317(x94151,x94152,x94153),x94154),x94155)+~P107(f334(f334(f248(f926(x94151,a913)),x94154),x94156))
% 164.74/165.09 [9658]~P24(x96581,x96582,x96583,x96585,x96587)+~P24(x96581,x96582,x96583,x96584,x96586)+P24(x96581,x96582,x96583,f334(f334(f123(f926(x96581,a913)),x96584),x96585),f334(f334(f123(f926(x96582,a913)),x96586),x96587))+~E(f334(f334(f114(f926(x96582,a913)),x96586),x96587),f198(f926(x96582,a913)))
% 164.74/165.09 [9663]~P69(x96631)+~P23(x96635,x96632,x96636,x96637)+~P107(f334(f70(x96635),x96637))+E(f334(f334(f334(f74(x96631,x96632,f90(x96631)),x96633),x96634),f334(f317(x96635,x96632,x96636),x96637)),f334(f334(f334(f74(x96631,x96635,f90(x96631)),f334(f81(x96632,x96631,x96635,x96633),x96636)),x96634),x96637))
% 164.74/165.09 [9801]~E(f334(f334(f316(x98011),x98015),x98016),f334(f334(f316(x98011),x98012),x98013))+~P107(f334(f75(x98011,x98011,x98014,x98012,x98013),x98017))+P107(f334(f334(f336(x98011),x98012),x98013))+P107(f334(f71(x98011,x98014,f334(f334(f316(x98011),x98015),x98016)),x98017))
% 164.74/165.09 [9883]P107(f334(x98831,x98832))+~P107(f334(f334(f336(x98833),x98832),f334(x98834,x98837)))+~P107(f334(f334(f336(x98836),x98837),x98835))+P107(f334(f334(f336(x98833),f890(x98831,x98834,x98835,x98836,x98833)),f334(f334(f48(x98836,f926(x98833,a913)),x98835),x98834)))
% 164.74/165.09 [9900]~P23(x99002,x99001,x99005,x99004)+~P23(x99001,x99003,x99006,f334(f317(x99002,x99001,x99005),x99004))+E(f334(f334(f81(x99001,x99002,x99003,f86(x99002,x99001,x99004,x99005)),f86(x99001,x99003,f334(f317(x99002,x99001,x99005),x99004),x99006)),x99007),f334(f86(x99002,x99003,x99004,f334(f81(x99001,x99003,x99002,x99006),x99005)),x99007))+~P107(f334(f334(f336(x99003),x99007),f334(f317(x99001,x99003,x99006),f334(f317(x99002,x99001,x99005),x99004))))
% 164.74/165.09 [9901]~P23(x99012,x99011,x99015,x99014)+~P23(x99011,x99013,x99016,f334(f317(x99012,x99011,x99015),x99014))+E(f334(f334(f81(x99011,x99012,x99013,f101(x99012,x99011,x99014,x99015)),f101(x99011,x99013,f334(f317(x99012,x99011,x99015),x99014),x99016)),x99017),f334(f101(x99012,x99013,x99014,f334(f81(x99011,x99013,x99012,x99016),x99015)),x99017))+~P107(f334(f334(f336(x99013),x99017),f334(f317(x99011,x99013,x99016),f334(f317(x99012,x99011,x99015),x99014))))
% 164.74/165.09 [10216]~P14(x102167,x102166,x102161)+E(f334(f334(x102161,x102162),f691(x102163,x102164,x102162,x102165,x102161,x102166,x102167)),x102163)+P107(f334(f334(f336(x102167),x102162),x102164))+~P107(f334(f75(x102167,x102166,x102161,x102165,f334(f334(f316(x102167),x102162),x102164)),x102163))
% 164.74/165.09 [10281]~P14(x102811,x102814,x102815)+P107(f334(f75(x102811,x102814,x102815,x102816,x102813),f691(x102817,x102813,x102812,x102816,x102815,x102814,x102811)))+P107(f334(f334(f336(x102811),x102812),x102813))+~P107(f334(f75(x102811,x102814,x102815,x102816,f334(f334(f316(x102811),x102812),x102813)),x102817))
% 164.74/165.09 [9964]E(x99641,f2(a1))+~P107(f334(f58(x99643,x99641),f334(f334(f266(a1,a1),x99645),x99647)))+~P107(f334(f58(x99642,x99641),f334(f334(f266(a1,a1),x99644),x99646)))+P107(f334(f58(f334(f334(f89(a1),x99642),x99643),x99641),f334(f334(f266(a1,a1),f334(f334(f89(a1),f334(f334(f89(a1),x99644),x99645)),f334(f334(f45(a1),f334(f334(f89(a1),x99646),x99647)),x99641))),f54(a1,f334(f334(f89(a1),x99646),x99647),x99641))))
% 164.74/165.09 [9966]~P107(f334(f334(f249(a919),f2(a919)),x99663))+~P107(f334(f57(x99662,x99663),f334(f334(f266(a919,a919),x99665),x99667)))+~P107(f334(f57(x99661,x99663),f334(f334(f266(a919,a919),x99664),x99666)))+P107(f334(f57(f334(f334(f89(a919),x99661),x99662),x99663),f334(f334(f266(a919,a919),f334(f334(f89(a919),f334(f334(f89(a919),x99664),x99665)),f334(f334(f45(a919),f334(f334(f89(a919),x99666),x99667)),x99663))),f54(a919,f334(f334(f89(a919),x99666),x99667),x99663))))
% 164.74/165.09 [10341]~P72(x103412)+~P107(f334(f70(x103413),x103415))+~P107(f334(f70(x103411),x103417))+E(f334(f334(f6(x103411,x103412),f334(f334(f18(x103411,f926(x103413,a913),x103412),f334(f334(f8(f926(x103413,x103412),f926(f926(x103413,a913),x103412),x103411),f6(x103413,x103412)),x103414)),f334(f334(f8(f926(x103413,a913),f926(x103413,a913),x103411),f254(x103413)),f334(f334(f8(f926(x103413,a913),f926(x103413,a913),x103411),f334(f18(x103413,a913,a913),f334(f334(f8(a913,f926(a913,a913),x103413),a333),f334(f334(f7(x103413,f926(x103413,a913),a913),f336(x103413)),x103415)))),x103416)))),x103417),f334(f334(f6(x103413,x103412),f334(f334(f18(x103413,f926(x103411,a913),x103412),f334(f334(f8(f926(x103411,x103412),f926(f926(x103411,a913),x103412),x103413),f6(x103411,x103412)),f334(f7(x103411,x103413,x103412),x103414))),f334(f334(f8(f926(x103411,a913),f926(x103411,a913),x103413),f254(x103411)),f334(f334(f8(f926(x103411,a913),f926(x103411,a913),x103413),f334(f18(x103411,a913,a913),f334(f334(f8(a913,f926(a913,a913),x103411),a333),f334(f334(f7(x103411,f926(x103411,a913),a913),f336(x103411)),x103417)))),f334(f7(x103411,x103413,a913),x103416))))),x103415))
% 164.74/165.09 [9837]~P20(x98377,x98376,x98371,x98378,x98372,x98374)+E(f334(f334(x98371,f334(x98372,x98373)),f334(x98374,x98375)),f334(x98374,x98375))+~P107(f334(f70(x98376),x98375))+~P107(f334(f334(f336(x98376),x98373),x98375))
% 164.74/165.09 [9841]~P11(x98416,x98411,x98412,x98418,x98413,x98414)+~P6(x98416,x98417,x98418)+P10(x98411,x98412,x98413,f334(x98414,x98415))+~P107(f334(f334(f336(x98416),x98415),x98417))
% 164.74/165.09 [8227]~P29(x82278,x82277,f334(f334(f334(f100(x82278),x82274),x82276),x82271))+P107(f334(f334(x82271,x82272),x82273))+~P107(f334(f334(x82274,x82272),x82275))+~P107(f334(f334(f334(f334(a206,x82276),x82275),x82277),x82273))
% 164.74/165.09 [9438]~P17(x94387,x94381,x94388,x94383)+~P107(f334(f70(x94387),x94385))+~P107(f334(f70(x94387),x94384))+E(f334(f81(x94381,x94381,x94382,f334(x94383,x94384)),f334(f81(x94381,x94381,x94382,f334(x94383,x94385)),x94386)),f334(f81(x94381,x94381,x94382,f334(x94383,x94385)),f334(f81(x94381,x94381,x94382,f334(x94383,x94384)),x94386)))
% 164.74/165.09 [9447]~P35(x94471,x94472,x94473,x94474,x94477)+P35(x94471,x94472,x94473,f334(f334(f169(x94471,x94474),x94475),x94476),f334(f334(f169(x94472,x94477),x94475),x94478))+~P107(f334(f334(x94473,x94476),x94478))+~P107(f334(f334(f249(a919),x94475),f334(f199(f920(x94471)),x94474)))
% 164.74/165.09 [9448]~P35(x94481,x94482,x94483,x94484,x94487)+P35(x94481,x94482,x94483,f334(f334(f169(x94481,x94484),x94485),x94486),f334(f334(f169(x94482,x94487),x94485),x94488))+~P107(f334(f334(x94483,x94486),x94488))+~P107(f334(f334(f249(a919),x94485),f334(f199(f920(x94482)),x94487)))
% 164.74/165.09 [9532]~P23(x95322,x95322,x95325,x95326)+~P19(x95323,x95322,x95327,x95328,x95321)+~P107(f334(f70(x95322),x95326))+E(f334(f334(x95321,f334(f81(x95322,x95323,x95322,x95324),x95325)),x95326),f334(f334(x95321,x95324),f334(f317(x95322,x95322,x95325),x95326)))
% 164.74/165.09 [9802]P24(x98021,x98022,x98023,x98024,x98025)+~P24(x98022,x98026,x98027,x98025,x98028)+~P24(x98021,x98026,f334(f81(x98022,x98026,x98021,x98027),x98023),x98024,x98028)+~P107(f334(f334(f248(f926(x98022,a913)),f334(f317(x98021,x98022,x98023),x98024)),x98025))
% 164.74/165.09 [9839]~P21(x98397,x98392,x98395,x98398,x98396,x98391)+~P107(f334(f70(x98392),x98394))+E(f334(x98391,f334(f334(f316(x98392),x98393),x98394)),f334(f334(x98395,f334(x98396,x98393)),f334(x98391,x98394)))+P107(f334(f334(f336(x98392),x98393),x98394))
% 164.74/165.09 [9850]~P20(x98506,x98505,x98501,x98507,x98508,x98502)+E(f334(f334(x98501,f334(x98502,x98503)),f334(x98502,x98504)),f334(x98502,x98504))+~P107(f334(f70(x98505),x98504))+~P107(f334(f334(f248(f926(x98505,a913)),x98503),x98504))
% 164.74/165.09 [10338]P22(x103388,x103387,f334(f334(f316(f918(x103388)),f334(f334(f334(f100(x103388),x103384),x103385),x103383)),f198(f926(f918(x103388),a913))))+~P22(x103388,x103387,f334(f334(f316(f918(x103388)),f334(f334(f334(f100(x103388),x103386),x103385),x103381)),f198(f926(f918(x103388),a913))))+~P107(f334(f334(x103386,x103382),f395(x103383,x103384,x103381,x103385,x103386,x103387,x103388)))+P107(f334(f334(x103381,x103382),f409(x103383,x103384,x103381,x103385,x103386,x103387,x103388)))
% 164.74/165.09 [9426]P107(f334(f334(f336(f925(f920(x94261),f920(x94261))),f334(f334(f266(f920(x94261),f920(x94261)),x94262),x94263)),f167(x94261,x94264)))+~E(x94263,f334(f334(f144(x94261),x94265),f334(f334(f161(x94261),x94266),x94267)))+~E(x94262,f334(f334(f144(x94261),x94265),f334(f334(f161(x94261),x94268),x94267)))+~P107(f334(f334(f336(f925(x94261,x94261)),f334(f334(f266(x94261,x94261),x94268),x94266)),x94264))
% 164.74/165.09 [9844]~P20(x98446,x98442,x98445,x98447,x98448,x98441)+~P107(f334(f70(x98442),x98444))+~P107(f334(f70(x98442),x98443))+E(f334(x98441,f334(f334(f123(f926(x98442,a913)),x98443),x98444)),f334(f334(x98445,f334(x98441,x98443)),f334(x98441,x98444)))
% 164.74/165.09 [10385]~P23(x103854,x103852,x103855,x103858)+E(f334(f334(f49(x103851,f926(x103852,a913)),x103853),f334(f334(f8(f926(x103854,a913),f926(x103852,a913),x103851),f317(x103854,x103852,x103855)),x103856)),f334(f317(x103854,x103852,x103855),f334(f334(f49(x103851,f926(x103854,a913)),x103853),x103856)))+~P107(f334(f334(f336(x103851),x103857),x103853))+P107(f334(f334(f336(x103851),f692(x103857,x103856,x103853,x103851,x103858,x103855,x103852,x103854)),x103853))
% 164.74/165.09 [10407]~P23(x104074,x104072,x104075,x104077)+E(f334(f334(f49(x104071,f926(x104072,a913)),x104073),f334(f334(f8(f926(x104074,a913),f926(x104072,a913),x104071),f317(x104074,x104072,x104075)),x104076)),f334(f317(x104074,x104072,x104075),f334(f334(f49(x104071,f926(x104074,a913)),x104073),x104076)))+~P107(f334(f334(f336(x104071),x104078),x104073))+~P107(f334(f334(f248(f926(x104074,a913)),f334(x104076,f692(x104078,x104076,x104073,x104071,x104077,x104075,x104072,x104074))),x104077))
% 164.74/165.09 [9910]~P21(x99107,x99105,x99101,x99108,x99102,x99104)+~P107(f334(f70(x99105),x99106))+~P107(f334(f334(f336(x99105),x99103),x99106))+E(f334(f334(x99101,f334(x99102,x99103)),f334(x99104,f334(f334(f23(f926(x99105,a913)),x99106),f334(f334(f316(x99105),x99103),f198(f926(x99105,a913)))))),f334(x99104,x99106))
% 164.74/165.09 [9919]~P21(x99196,x99193,x99191,x99197,x99198,x99192)+~P107(f334(f70(x99193),x99195))+~P107(f334(f70(x99193),x99194))+E(f334(f334(x99191,f334(x99192,f334(f334(f123(f926(x99193,a913)),x99194),x99195))),f334(x99192,f334(f334(f114(f926(x99193,a913)),x99194),x99195))),f334(f334(x99191,f334(x99192,x99194)),f334(x99192,x99195)))
% 164.74/165.09 [10005]P44(x100051,x100052,x100053,x100054,x100055,f334(f334(x100053,x100056),x100057))+~P44(x100051,x100052,x100053,x100054,f334(f334(f23(f926(x100051,a913)),x100055),f334(f334(f316(x100051),x100058),f198(f926(x100051,a913)))),x100059)+~E(f334(f334(x100053,x100056),x100057),f334(f334(x100053,x100058),x100059))+~P107(f334(f334(f336(x100051),x100058),x100055))
% 164.74/165.09 [10423]P22(x104231,x104232,f334(f334(f316(f918(x104231)),f334(f334(f334(f100(x104231),f334(x104233,f393(x104234,x104235,x104236,x104237,x104233,x104232,x104231,x104238,x104239))),f334(x104237,f393(x104234,x104235,x104236,x104237,x104233,x104232,x104231,x104238,x104239))),f334(x104236,f393(x104234,x104235,x104236,x104237,x104233,x104232,x104231,x104238,x104239)))),f198(f926(f918(x104231),a913))))+~P107(f334(f70(x104239),x104238))+~P22(x104231,x104232,f334(f317(x104239,f918(x104231),f334(f334(f18(x104239,f926(x104231,f926(a914,a913)),f918(x104231)),f334(f334(f18(x104239,a915,f926(f926(x104231,f926(a914,a913)),f918(x104231))),f334(f334(f8(f926(x104231,f926(a914,a913)),f926(a915,f926(f926(x104231,f926(a914,a913)),f918(x104231))),x104239),f100(x104231)),x104233)),x104237)),x104236)),x104238))+P22(x104231,x104232,f334(f317(x104239,f918(x104231),f334(f334(f18(x104239,f926(x104231,f926(a914,a913)),f918(x104231)),f334(f334(f18(x104239,a915,f926(f926(x104231,f926(a914,a913)),f918(x104231))),f334(f334(f8(f926(x104231,f926(a914,a913)),f926(a915,f926(f926(x104231,f926(a914,a913)),f918(x104231))),x104239),f100(x104231)),x104235)),x104237)),x104234)),x104238))
% 164.74/165.09 [10424]~P22(x104241,x104242,f334(f334(f316(f918(x104241)),f334(f334(f334(f100(x104241),f334(x104244,f393(x104246,x104244,x104248,x104245,x104249,x104242,x104241,x104247,x104243))),f334(x104245,f393(x104246,x104244,x104248,x104245,x104249,x104242,x104241,x104247,x104243))),f334(x104246,f393(x104246,x104244,x104248,x104245,x104249,x104242,x104241,x104247,x104243)))),f198(f926(f918(x104241),a913))))+~P107(f334(f70(x104243),x104247))+~P22(x104241,x104242,f334(f317(x104243,f918(x104241),f334(f334(f18(x104243,f926(x104241,f926(a914,a913)),f918(x104241)),f334(f334(f18(x104243,a915,f926(f926(x104241,f926(a914,a913)),f918(x104241))),f334(f334(f8(f926(x104241,f926(a914,a913)),f926(a915,f926(f926(x104241,f926(a914,a913)),f918(x104241))),x104243),f100(x104241)),x104249)),x104245)),x104248)),x104247))+P22(x104241,x104242,f334(f317(x104243,f918(x104241),f334(f334(f18(x104243,f926(x104241,f926(a914,a913)),f918(x104241)),f334(f334(f18(x104243,a915,f926(f926(x104241,f926(a914,a913)),f918(x104241))),f334(f334(f8(f926(x104241,f926(a914,a913)),f926(a915,f926(f926(x104241,f926(a914,a913)),f918(x104241))),x104243),f100(x104241)),x104244)),x104245)),x104246)),x104247))
% 164.74/165.09 [9944]~P11(x99446,x99447,x99448,x99449,x994410,x99441)+E(f334(f334(x99441,x99442),x99443),f334(f334(x99441,x99444),x99445))+~P107(f334(f334(f336(f925(x99447,x99447)),f334(f334(f266(x99447,x99447),x99443),x99445)),x994410))+~P107(f334(f334(f336(f925(x99446,x99446)),f334(f334(f266(x99446,x99446),x99442),x99444)),x99449))
% 164.74/165.09 [9534]~P83(x95342)+E(x95341,f198(f926(x95342,a913)))+~P107(f334(f70(x95342),x95341))+P107(f334(f334(f336(x95342),f10(x95342,x95341)),x95341))+~P107(f334(f334(f336(x95342),f334(f334(f123(x95342),f420(x95341,x95342)),f423(x95341,x95342))),f334(f334(f316(x95342),f420(x95341,x95342)),f334(f334(f316(x95342),f423(x95341,x95342)),f198(f926(x95342,a913))))))
% 164.74/165.09 [9535]~P83(x95352)+E(x95351,f198(f926(x95352,a913)))+~P107(f334(f70(x95352),x95351))+P107(f334(f334(f336(x95352),f11(x95352,x95351)),x95351))+~P107(f334(f334(f336(x95352),f334(f334(f114(x95352),f421(x95351,x95352)),f422(x95351,x95352))),f334(f334(f316(x95352),f421(x95351,x95352)),f334(f334(f316(x95352),f422(x95351,x95352)),f198(f926(x95352,a913))))))
% 164.74/165.09 [9567]~P69(x95672)+E(x95671,f198(f926(x95672,a913)))+~P107(f334(f70(x95672),x95671))+P107(f334(f334(f336(x95672),f334(f72(x95672,f90(x95672)),x95671)),x95671))+~P107(f334(f334(f336(x95672),f334(f334(f90(x95672),f413(x95671,x95672)),f414(x95671,x95672))),f334(f334(f316(x95672),f413(x95671,x95672)),f334(f334(f316(x95672),f414(x95671,x95672)),f198(f926(x95672,a913))))))
% 164.74/165.09 [9573]~P110(x95732)+E(x95731,f198(f926(x95732,a913)))+~P107(f334(f70(x95732),x95731))+P107(f334(f334(f336(x95732),f12(x95732,f246(x95732),x95731)),x95731))+~P107(f334(f334(f336(x95732),f334(f334(f246(x95732),f517(x95731,x95732)),f518(x95731,x95732))),f334(f334(f316(x95732),f517(x95731,x95732)),f334(f334(f316(x95732),f518(x95731,x95732)),f198(f926(x95732,a913))))))
% 164.74/165.09 [9574]~P110(x95742)+E(x95741,f198(f926(x95742,a913)))+~P107(f334(f70(x95742),x95741))+P107(f334(f334(f336(x95742),f13(x95742,f247(x95742),x95741)),x95741))+~P107(f334(f334(f336(x95742),f334(f334(f247(x95742),f532(x95741,x95742)),f534(x95741,x95742))),f334(f334(f316(x95742),f532(x95741,x95742)),f334(f334(f316(x95742),f534(x95741,x95742)),f198(f926(x95742,a913))))))
% 164.74/165.09 [6671]~P92(x66712)+E(x66711,f2(x66712))+~E(f334(f334(f89(x66712),x66713),x66711),f2(x66712))+~P107(f334(f334(f248(x66712),f2(x66712)),x66713))+~P107(f334(f334(f248(x66712),f2(x66712)),x66711))
% 164.74/165.09 [6672]~P92(x66722)+E(x66721,f2(x66722))+~E(f334(f334(f89(x66722),x66721),x66723),f2(x66722))+~P107(f334(f334(f248(x66722),f2(x66722)),x66723))+~P107(f334(f334(f248(x66722),f2(x66722)),x66721))
% 164.74/165.09 [7198]~P110(x71982)+~P12(x71982,x71981)+E(x71981,f126(x71982))+~P107(f334(f334(f336(x71982),x71983),f334(f182(x71982),f767(x71981,x71982))))+P107(f334(f334(f248(x71982),f787(x71981,x71982)),x71983))
% 164.74/165.09 [7366]~P110(x73661)+E(f14(x73661,x73662),x73663)+~P107(f334(f70(x73661),x73662))+~P107(f334(f334(f248(x73661),x73663),f666(x73663,x73662,x73661)))+~P107(f334(f334(f336(x73661),x73663),x73662))
% 164.74/165.09 [7398]~P110(x73981)+~P12(x73981,x73982)+~P12(x73981,x73983)+P12(x73981,f334(f334(f144(x73981),x73982),x73983))+P107(f334(f334(f336(x73981),f774(x73983,x73982,x73981)),f334(f182(x73981),x73982)))
% 164.74/165.09 [7399]~P110(x73991)+~P12(x73991,x73992)+~P12(x73991,x73993)+P12(x73991,f334(f334(f144(x73991),x73992),x73993))+P107(f334(f334(f336(x73991),f775(x73993,x73992,x73991)),f334(f182(x73991),x73993)))
% 164.74/165.09 [7458]~P110(x74581)+E(f14(x74581,x74582),x74583)+~P107(f334(f70(x74581),x74582))+P107(f334(f334(f336(x74581),f666(x74583,x74582,x74581)),x74582))+~P107(f334(f334(f336(x74581),x74583),x74582))
% 164.74/165.09 [7459]~P110(x74591)+E(f15(x74591,x74592),x74593)+~P107(f334(f70(x74591),x74592))+P107(f334(f334(f336(x74591),f676(x74593,x74592,x74591)),x74592))+~P107(f334(f334(f336(x74591),x74593),x74592))
% 164.74/165.09 [8029]~P110(x80291)+E(f15(x80291,x80292),x80293)+~P107(f334(f70(x80291),x80292))+~P107(f334(f334(f336(x80291),x80293),x80292))+~P107(f334(f334(f248(x80291),f676(x80293,x80292,x80291)),x80293))
% 164.74/165.09 [8351]~P110(x83511)+~P12(x83511,x83512)+~P12(x83511,x83513)+P12(x83511,f334(f334(f144(x83511),x83512),x83513))+~P107(f334(f334(f248(x83511),f774(x83513,x83512,x83511)),f775(x83513,x83512,x83511)))
% 164.74/165.09 [9165]~P83(x91652)+E(x91651,f198(f926(x91652,a913)))+~E(f334(f334(f123(x91652),f334(x91653,f427(x91651,x91653,x91652))),f334(x91653,f428(x91651,x91653,x91652))),f334(x91653,f334(f334(f123(x91652),f427(x91651,x91653,x91652)),f428(x91651,x91653,x91652))))+E(f10(x91652,f334(f317(x91652,x91652,x91653),x91651)),f334(x91653,f10(x91652,x91651)))+~P107(f334(f70(x91652),x91651))
% 164.74/165.09 [9166]~P83(x91662)+E(x91661,f198(f926(x91662,a913)))+~E(f334(f334(f114(x91662),f334(x91663,f425(x91661,x91663,x91662))),f334(x91663,f426(x91661,x91663,x91662))),f334(x91663,f334(f334(f114(x91662),f425(x91661,x91663,x91662)),f426(x91661,x91663,x91662))))+E(f11(x91662,f334(f317(x91662,x91662,x91663),x91661)),f334(x91663,f11(x91662,x91661)))+~P107(f334(f70(x91662),x91661))
% 164.74/165.09 [9167]~P110(x91672)+E(x91671,f198(f926(x91672,a913)))+~E(f334(f334(f246(x91672),f334(x91673,f589(x91671,x91673,x91672))),f334(x91673,f592(x91671,x91673,x91672))),f334(x91673,f334(f334(f246(x91672),f589(x91671,x91673,x91672)),f592(x91671,x91673,x91672))))+E(f14(x91672,f334(f317(x91672,x91672,x91673),x91671)),f334(x91673,f14(x91672,x91671)))+~P107(f334(f70(x91672),x91671))
% 164.74/165.09 [9168]~P110(x91682)+E(x91681,f198(f926(x91682,a913)))+~E(f334(f334(f247(x91682),f334(x91683,f590(x91681,x91683,x91682))),f334(x91683,f591(x91681,x91683,x91682))),f334(x91683,f334(f334(f247(x91682),f590(x91681,x91683,x91682)),f591(x91681,x91683,x91682))))+E(f15(x91682,f334(f317(x91682,x91682,x91683),x91681)),f334(x91683,f15(x91682,x91681)))+~P107(f334(f70(x91682),x91681))
% 164.74/165.09 [9238]~P110(x92382)+E(x92381,f198(f926(x92382,a913)))+~E(f334(f334(f246(x92382),f334(x92383,f561(x92381,x92383,x92382))),f334(x92383,f562(x92381,x92383,x92382))),f334(x92383,f334(f334(f246(x92382),f561(x92381,x92383,x92382)),f562(x92381,x92383,x92382))))+E(f12(x92382,f246(x92382),f334(f317(x92382,x92382,x92383),x92381)),f334(x92383,f12(x92382,f246(x92382),x92381)))+~P107(f334(f70(x92382),x92381))
% 164.74/165.09 [9239]~P110(x92392)+E(x92391,f198(f926(x92392,a913)))+~E(f334(f334(f247(x92392),f334(x92393,f547(x92391,x92393,x92392))),f334(x92393,f552(x92391,x92393,x92392))),f334(x92393,f334(f334(f247(x92392),f547(x92391,x92393,x92392)),f552(x92391,x92393,x92392))))+E(f13(x92392,f247(x92392),f334(f317(x92392,x92392,x92393),x92391)),f334(x92393,f13(x92392,f247(x92392),x92391)))+~P107(f334(f70(x92392),x92391))
% 164.74/165.09 [6687]~P69(x66872)+E(x66871,f198(f926(x66872,a913)))+~P107(f334(f70(x66872),x66871))+E(f334(f72(x66872,f90(x66872)),f334(f334(f316(x66872),x66873),x66871)),f334(f334(f90(x66872),x66873),f334(f72(x66872,f90(x66872)),x66871)))+P107(f334(f334(f336(x66872),x66873),x66871))
% 164.74/165.09 [7204]~P83(x72042)+E(f334(f334(f123(x72042),f10(x72042,x72041)),f10(x72042,x72043)),f10(x72042,x72043))+E(x72041,f198(f926(x72042,a913)))+~P107(f334(f70(x72042),x72043))+~P107(f334(f334(f248(f926(x72042,a913)),x72041),x72043))
% 164.74/165.09 [7205]~P83(x72052)+E(f334(f334(f114(x72052),f11(x72052,x72051)),f11(x72052,x72053)),f11(x72052,x72053))+E(x72051,f198(f926(x72052,a913)))+~P107(f334(f70(x72052),x72053))+~P107(f334(f334(f248(f926(x72052,a913)),x72051),x72053))
% 164.74/165.09 [7206]~P110(x72062)+E(f334(f334(f246(x72062),f14(x72062,x72061)),f14(x72062,x72063)),f14(x72062,x72063))+E(x72061,f198(f926(x72062,a913)))+~P107(f334(f70(x72062),x72063))+~P107(f334(f334(f248(f926(x72062,a913)),x72061),x72063))
% 164.74/165.09 [7207]~P110(x72072)+E(f334(f334(f247(x72072),f15(x72072,x72071)),f15(x72072,x72073)),f15(x72072,x72073))+E(x72071,f198(f926(x72072,a913)))+~P107(f334(f70(x72072),x72073))+~P107(f334(f334(f248(f926(x72072,a913)),x72071),x72073))
% 164.74/165.09 [7508]~P110(x75082)+E(x75081,f198(f926(x75082,a913)))+~P107(f334(f70(x75082),x75083))+P107(f334(f334(f248(x75082),f14(x75082,x75083)),f14(x75082,x75081)))+~P107(f334(f334(f248(f926(x75082,a913)),x75081),x75083))
% 164.74/165.09 [7509]~P110(x75092)+E(x75091,f198(f926(x75092,a913)))+~P107(f334(f70(x75092),x75093))+P107(f334(f334(f248(x75092),f15(x75092,x75091)),f15(x75092,x75093)))+~P107(f334(f334(f248(f926(x75092,a913)),x75091),x75093))
% 164.74/165.09 [7562]~P83(x75621)+E(f10(x75621,x75622),x75623)+~P107(f334(f70(x75621),x75622))+~E(f334(f334(f23(f926(x75621,a913)),x75622),f334(f334(f316(x75621),x75623),f198(f926(x75621,a913)))),f198(f926(x75621,a913)))+~P107(f334(f334(f336(x75621),x75623),x75622))
% 164.74/165.09 [7563]~P83(x75631)+E(f11(x75631,x75632),x75633)+~P107(f334(f70(x75631),x75632))+~E(f334(f334(f23(f926(x75631,a913)),x75632),f334(f334(f316(x75631),x75633),f198(f926(x75631,a913)))),f198(f926(x75631,a913)))+~P107(f334(f334(f336(x75631),x75633),x75632))
% 164.74/165.09 [7564]~P110(x75641)+E(f14(x75641,x75642),x75643)+~P107(f334(f70(x75641),x75642))+~E(f334(f334(f23(f926(x75641,a913)),x75642),f334(f334(f316(x75641),x75643),f198(f926(x75641,a913)))),f198(f926(x75641,a913)))+~P107(f334(f334(f336(x75641),x75643),x75642))
% 164.74/165.09 [7565]~P110(x75651)+E(f15(x75651,x75652),x75653)+~P107(f334(f70(x75651),x75652))+~E(f334(f334(f23(f926(x75651,a913)),x75652),f334(f334(f316(x75651),x75653),f198(f926(x75651,a913)))),f198(f926(x75651,a913)))+~P107(f334(f334(f336(x75651),x75653),x75652))
% 164.74/165.09 [7659]~P110(x76591)+E(f12(x76591,f246(x76591),x76592),x76593)+~P107(f334(f70(x76591),x76592))+~E(f334(f334(f23(f926(x76591,a913)),x76592),f334(f334(f316(x76591),x76593),f198(f926(x76591,a913)))),f198(f926(x76591,a913)))+~P107(f334(f334(f336(x76591),x76593),x76592))
% 164.74/165.09 [7660]~P110(x76601)+E(f13(x76601,f247(x76601),x76602),x76603)+~P107(f334(f70(x76601),x76602))+~E(f334(f334(f23(f926(x76601,a913)),x76602),f334(f334(f316(x76601),x76603),f198(f926(x76601,a913)))),f198(f926(x76601,a913)))+~P107(f334(f334(f336(x76601),x76603),x76602))
% 164.74/165.09 [7695]~P103(x76952)+E(x76951,f198(f926(x76952,a913)))+~P107(f334(f70(x76952),x76951))+~P107(f334(f334(f248(x76952),x76953),f401(x76953,x76951,x76952)))+P107(f334(f334(f248(x76952),x76953),f334(f72(x76952,f114(x76952)),x76951)))
% 164.74/165.09 [7696]~P110(x76962)+E(x76961,f198(f926(x76962,a913)))+~P107(f334(f70(x76962),x76961))+~P107(f334(f334(f248(x76962),x76963),f466(x76963,x76961,x76962)))+P107(f334(f334(f248(x76962),x76963),f334(f72(x76962,f246(x76962)),x76961)))
% 164.74/165.09 [7697]~P110(x76972)+E(x76971,f198(f926(x76972,a913)))+~P107(f334(f70(x76972),x76971))+~P107(f334(f334(f249(x76972),x76973),f467(x76973,x76971,x76972)))+P107(f334(f334(f249(x76972),x76973),f334(f72(x76972,f246(x76972)),x76971)))
% 164.74/165.09 [7782]~P103(x77822)+E(x77821,f198(f926(x77822,a913)))+~P107(f334(f70(x77822),x77821))+P107(f334(f334(f336(x77822),f401(x77823,x77821,x77822)),x77821))+P107(f334(f334(f248(x77822),x77823),f334(f72(x77822,f114(x77822)),x77821)))
% 164.74/165.09 [7783]~P110(x77832)+E(x77831,f198(f926(x77832,a913)))+~P107(f334(f70(x77832),x77831))+P107(f334(f334(f336(x77832),f466(x77833,x77831,x77832)),x77831))+P107(f334(f334(f248(x77832),x77833),f334(f72(x77832,f246(x77832)),x77831)))
% 164.74/165.09 [7784]~P110(x77842)+E(x77841,f198(f926(x77842,a913)))+~P107(f334(f70(x77842),x77841))+P107(f334(f334(f336(x77842),f467(x77843,x77841,x77842)),x77841))+P107(f334(f334(f249(x77842),x77843),f334(f72(x77842,f246(x77842)),x77841)))
% 164.74/165.09 [7907]~P110(x79072)+E(x79071,f198(f926(x79072,a913)))+E(f334(f334(f246(x79072),f12(x79072,f246(x79072),x79071)),f12(x79072,f246(x79072),x79073)),f12(x79072,f246(x79072),x79073))+~P107(f334(f70(x79072),x79073))+~P107(f334(f334(f248(f926(x79072,a913)),x79071),x79073))
% 164.74/165.09 [7908]~P110(x79082)+E(x79081,f198(f926(x79082,a913)))+E(f334(f334(f247(x79082),f13(x79082,f247(x79082),x79081)),f13(x79082,f247(x79082),x79083)),f13(x79082,f247(x79082),x79083))+~P107(f334(f70(x79082),x79083))+~P107(f334(f334(f248(f926(x79082,a913)),x79081),x79083))
% 164.74/165.09 [8107]~E(f596(x81071,x81073,x81072),f597(x81071,x81073,x81072))+~E(f334(f44(x81072),f598(x81071,x81073,x81072)),x81071)+E(f334(f334(f90(a919),x81071),f334(f44(f926(x81072,a913)),x81073)),f334(f44(x81072),f46(f926(x81072,a913),x81073)))+~P107(f334(f70(x81072),f46(f926(x81072,a913),x81073)))+~P107(f334(f70(f926(x81072,a913)),x81073))
% 164.74/165.09 [8290]~P110(x82902)+E(x82901,f198(f926(x82902,a913)))+~P107(f334(f70(x82902),x82903))+P107(f334(f334(f248(x82902),f334(f72(x82902,f246(x82902)),x82903)),f334(f72(x82902,f246(x82902)),x82901)))+~P107(f334(f334(f248(f926(x82902,a913)),x82901),x82903))
% 164.74/165.09 [8597]~E(f596(x85971,x85973,x85972),f597(x85971,x85973,x85972))+E(f334(f334(f90(a919),x85971),f334(f44(f926(x85972,a913)),x85973)),f334(f44(x85972),f46(f926(x85972,a913),x85973)))+P107(f334(f334(f336(f926(x85972,a913)),f598(x85971,x85973,x85972)),x85973))+~P107(f334(f70(x85972),f46(f926(x85972,a913),x85973)))+~P107(f334(f70(f926(x85972,a913)),x85973))
% 164.74/165.09 [8624]~E(f334(f44(x86242),f598(x86241,x86243,x86242)),x86241)+E(f334(f334(f90(a919),x86241),f334(f44(f926(x86242,a913)),x86243)),f334(f44(x86242),f46(f926(x86242,a913),x86243)))+P107(f334(f334(f336(f926(x86242,a913)),f597(x86241,x86243,x86242)),x86243))+~P107(f334(f70(x86242),f46(f926(x86242,a913),x86243)))+~P107(f334(f70(f926(x86242,a913)),x86243))
% 164.74/165.09 [8625]~E(f334(f44(x86252),f598(x86251,x86253,x86252)),x86251)+E(f334(f334(f90(a919),x86251),f334(f44(f926(x86252,a913)),x86253)),f334(f44(x86252),f46(f926(x86252,a913),x86253)))+P107(f334(f334(f336(f926(x86252,a913)),f596(x86251,x86253,x86252)),x86253))+~P107(f334(f70(x86252),f46(f926(x86252,a913),x86253)))+~P107(f334(f70(f926(x86252,a913)),x86253))
% 164.74/165.09 [8652]~E(f334(f44(x86522),f598(x86521,x86523,x86522)),x86521)+~E(f334(f334(f114(f926(x86522,a913)),f597(x86521,x86523,x86522)),f596(x86521,x86523,x86522)),f198(f926(x86522,a913)))+E(f334(f334(f90(a919),x86521),f334(f44(f926(x86522,a913)),x86523)),f334(f44(x86522),f46(f926(x86522,a913),x86523)))+~P107(f334(f70(f926(x86522,a913)),x86523))+~P107(f334(f70(x86522),f46(f926(x86522,a913),x86523)))
% 164.74/165.09 [8916]E(f334(f334(f90(a919),x89161),f334(f44(f926(x89162,a913)),x89163)),f334(f44(x89162),f46(f926(x89162,a913),x89163)))+P107(f334(f334(f336(f926(x89162,a913)),f598(x89161,x89163,x89162)),x89163))+P107(f334(f334(f336(f926(x89162,a913)),f597(x89161,x89163,x89162)),x89163))+~P107(f334(f70(f926(x89162,a913)),x89163))+~P107(f334(f70(x89162),f46(f926(x89162,a913),x89163)))
% 164.74/165.09 [8917]E(f334(f334(f90(a919),x89171),f334(f44(f926(x89172,a913)),x89173)),f334(f44(x89172),f46(f926(x89172,a913),x89173)))+P107(f334(f334(f336(f926(x89172,a913)),f598(x89171,x89173,x89172)),x89173))+P107(f334(f334(f336(f926(x89172,a913)),f596(x89171,x89173,x89172)),x89173))+~P107(f334(f70(f926(x89172,a913)),x89173))+~P107(f334(f70(x89172),f46(f926(x89172,a913),x89173)))
% 164.74/165.09 [8943]~E(f334(f334(f114(f926(x89432,a913)),f597(x89431,x89433,x89432)),f596(x89431,x89433,x89432)),f198(f926(x89432,a913)))+E(f334(f334(f90(a919),x89431),f334(f44(f926(x89432,a913)),x89433)),f334(f44(x89432),f46(f926(x89432,a913),x89433)))+~P107(f334(f70(f926(x89432,a913)),x89433))+P107(f334(f334(f336(f926(x89432,a913)),f598(x89431,x89433,x89432)),x89433))+~P107(f334(f70(x89432),f46(f926(x89432,a913),x89433)))
% 164.74/165.09 [9213]~P99(x92132)+E(x92131,f198(f926(x92132,a913)))+~E(f334(f334(f90(x92132),f334(x92133,f429(x92131,x92133,x92132))),f334(x92133,f430(x92131,x92133,x92132))),f334(x92133,f334(f334(f90(x92132),f429(x92131,x92133,x92132)),f430(x92131,x92133,x92132))))+~P107(f334(f70(x92132),x92131))+E(f334(f72(x92132,f90(x92132)),f334(f317(x92132,x92132,x92133),x92131)),f334(x92133,f334(f72(x92132,f90(x92132)),x92131)))
% 164.74/165.09 [9284]~P30(a5000)+~P9(a5000)+~P107(f334(a27,x92842))+~P28(a914,f198(f926(f918(a914),a913)),f334(f334(f316(f918(a914)),f334(f334(f334(f100(a914),x92841),x92842),x92843)),f198(f926(f918(a914),a913))))+P22(a914,f198(f926(f918(a914),a913)),f334(f334(f316(f918(a914)),f334(f334(f334(f100(a914),x92841),x92842),x92843)),f198(f926(f918(a914),a913))))
% 164.74/165.09 [10162]P107(f334(f334(x101621,x101622),x101623))+P107(f334(f334(f249(a1),f530(x101621,x101623,x101622)),f536(x101621,x101623,x101622)))+P107(f334(f334(f248(a1),f536(x101621,x101623,x101622)),f2(a1)))+P107(f334(f334(x101621,f530(x101621,x101623,x101622)),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f536(x101621,x101623,x101622))))+~P107(f334(f322(f925(a1,a1),a67),f334(f334(f266(a1,a1),x101622),x101623)))
% 164.74/165.09 [10168]P107(f334(f334(x101681,x101682),x101683))+P107(f334(f334(f248(a1),f538(x101681,x101683,x101682)),f2(a1)))+P107(f334(f334(x101681,f537(x101681,x101683,x101682)),f334(f334(f90(a1),f334(f116(a1),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f538(x101681,x101683,x101682))))+P107(f334(f334(f248(a1),f2(a1)),f334(f334(f89(a1),f537(x101681,x101683,x101682)),f538(x101681,x101683,x101682))))+~P107(f334(f322(f925(a1,a1),a61),f334(f334(f266(a1,a1),x101682),x101683)))
% 164.74/165.09 [8079]~P122(x80791)+~P107(f334(f334(f248(x80791),x80792),f87(x80791)))+~P107(f334(f334(f248(x80791),f2(x80791)),x80792))+~P107(f334(f334(f248(x80791),f2(x80791)),x80793))+P107(f334(f334(f248(x80791),f334(f334(f90(x80791),x80792),x80793)),x80793))
% 164.74/165.09 [8080]~P122(x80801)+~P107(f334(f334(f248(x80801),x80803),f87(x80801)))+~P107(f334(f334(f248(x80801),f2(x80801)),x80803))+~P107(f334(f334(f248(x80801),f2(x80801)),x80802))+P107(f334(f334(f248(x80801),f334(f334(f90(x80801),x80802),x80803)),x80802))
% 164.74/165.09 [8436]~P110(x84362)+E(x84361,f198(f926(x84362,a913)))+~P107(f334(f70(x84362),x84361))+P107(f334(f334(f336(x84362),f468(x84363,x84361,x84362)),x84361))+~P107(f334(f334(f248(x84362),f334(f72(x84362,f246(x84362)),x84361)),x84363))
% 164.74/165.09 [8437]~P110(x84372)+E(x84371,f198(f926(x84372,a913)))+~P107(f334(f70(x84372),x84371))+P107(f334(f334(f336(x84372),f469(x84373,x84371,x84372)),x84371))+~P107(f334(f334(f249(x84372),f334(f72(x84372,f246(x84372)),x84371)),x84373))
% 164.74/165.09 [8438]~P110(x84382)+E(x84381,f198(f926(x84382,a913)))+~P107(f334(f70(x84382),x84381))+P107(f334(f334(f248(x84382),f468(x84383,x84381,x84382)),x84383))+~P107(f334(f334(f248(x84382),f334(f72(x84382,f246(x84382)),x84381)),x84383))
% 164.74/165.09 [8439]~P110(x84392)+E(x84391,f198(f926(x84392,a913)))+~P107(f334(f70(x84392),x84391))+P107(f334(f334(f249(x84392),f469(x84393,x84391,x84392)),x84393))+~P107(f334(f334(f249(x84392),f334(f72(x84392,f246(x84392)),x84391)),x84393))
% 164.74/165.09 [8525]~P107(f334(x85251,x85253))+P107(f334(x85251,f581(x85251,x85252)))+P107(f334(x85251,f569(x85251,x85252)))+~P107(f334(f334(f249(a1),f2(a1)),x85252))+P107(f334(x85251,f334(f334(f23(a1),f569(x85251,x85252)),f334(f334(f90(a1),f582(x85251,x85252)),x85252))))
% 164.74/165.09 [8754]~P107(f334(x87541,x87543))+P107(f334(x87541,f569(x87541,x87542)))+~P107(f334(f334(f249(a1),f2(a1)),x87542))+P107(f334(f334(f336(a1),f581(x87541,x87542)),f310(a1,f87(a1),x87542)))+P107(f334(x87541,f334(f334(f23(a1),f569(x87541,x87542)),f334(f334(f90(a1),f582(x87541,x87542)),x87542))))
% 164.74/165.09 [8965]~P107(f334(x89651,x89653))+~P107(f334(x89651,f569(x89651,x89652)))+P107(f334(x89651,f581(x89651,x89652)))+~P107(f334(f334(f249(a1),f2(a1)),x89652))+~P107(f334(x89651,f334(f334(f23(a1),f569(x89651,x89652)),f334(f334(f90(a1),f582(x89651,x89652)),x89652))))
% 164.74/165.09 [9096]~P107(f334(x90961,x90963))+~P107(f334(x90961,f569(x90961,x90962)))+~P107(f334(f334(f249(a1),f2(a1)),x90962))+P107(f334(f334(f336(a1),f581(x90961,x90962)),f310(a1,f87(a1),x90962)))+~P107(f334(x90961,f334(f334(f23(a1),f569(x90961,x90962)),f334(f334(f90(a1),f582(x90961,x90962)),x90962))))
% 164.74/165.09 [8872]~P83(x88721)+~P107(f334(f70(x88721),x88722))+E(f334(f334(f23(f926(x88721,a913)),x88722),f334(f334(f316(x88721),x88723),f198(f926(x88721,a913)))),f198(f926(x88721,a913)))+~P107(f334(f334(f336(x88721),x88723),x88722))+E(f334(f334(f123(x88721),x88723),f10(x88721,f334(f334(f23(f926(x88721,a913)),x88722),f334(f334(f316(x88721),x88723),f198(f926(x88721,a913)))))),f10(x88721,x88722))
% 164.74/165.09 [8873]~P83(x88731)+~P107(f334(f70(x88731),x88732))+E(f334(f334(f23(f926(x88731,a913)),x88732),f334(f334(f316(x88731),x88733),f198(f926(x88731,a913)))),f198(f926(x88731,a913)))+~P107(f334(f334(f336(x88731),x88733),x88732))+E(f334(f334(f114(x88731),x88733),f11(x88731,f334(f334(f23(f926(x88731,a913)),x88732),f334(f334(f316(x88731),x88733),f198(f926(x88731,a913)))))),f11(x88731,x88732))
% 164.74/165.09 [8874]~P110(x88741)+~P107(f334(f70(x88741),x88742))+E(f334(f334(f23(f926(x88741,a913)),x88742),f334(f334(f316(x88741),x88743),f198(f926(x88741,a913)))),f198(f926(x88741,a913)))+~P107(f334(f334(f336(x88741),x88743),x88742))+E(f334(f334(f246(x88741),x88743),f14(x88741,f334(f334(f23(f926(x88741,a913)),x88742),f334(f334(f316(x88741),x88743),f198(f926(x88741,a913)))))),f14(x88741,x88742))
% 164.74/165.09 [8875]~P110(x88751)+~P107(f334(f70(x88751),x88752))+E(f334(f334(f23(f926(x88751,a913)),x88752),f334(f334(f316(x88751),x88753),f198(f926(x88751,a913)))),f198(f926(x88751,a913)))+~P107(f334(f334(f336(x88751),x88753),x88752))+E(f334(f334(f247(x88751),x88753),f15(x88751,f334(f334(f23(f926(x88751,a913)),x88752),f334(f334(f316(x88751),x88753),f198(f926(x88751,a913)))))),f15(x88751,x88752))
% 164.74/165.09 [8936]~P110(x89361)+~P107(f334(f70(x89361),x89362))+E(f334(f334(f23(f926(x89361,a913)),x89362),f334(f334(f316(x89361),x89363),f198(f926(x89361,a913)))),f198(f926(x89361,a913)))+~P107(f334(f334(f336(x89361),x89363),x89362))+E(f334(f334(f246(x89361),x89363),f12(x89361,f246(x89361),f334(f334(f23(f926(x89361,a913)),x89362),f334(f334(f316(x89361),x89363),f198(f926(x89361,a913)))))),f12(x89361,f246(x89361),x89362))
% 164.74/165.09 [8937]~P110(x89371)+~P107(f334(f70(x89371),x89372))+E(f334(f334(f23(f926(x89371,a913)),x89372),f334(f334(f316(x89371),x89373),f198(f926(x89371,a913)))),f198(f926(x89371,a913)))+~P107(f334(f334(f336(x89371),x89373),x89372))+E(f334(f334(f247(x89371),x89373),f13(x89371,f247(x89371),f334(f334(f23(f926(x89371,a913)),x89372),f334(f334(f316(x89371),x89373),f198(f926(x89371,a913)))))),f13(x89371,f247(x89371),x89372))
% 164.74/165.09 [8952]~P83(x89521)+~P107(f334(f70(x89521),x89523))+~P107(f334(f70(x89521),x89522))+E(f334(f334(f114(f926(x89521,a913)),x89522),x89523),f198(f926(x89521,a913)))+E(f334(f334(f123(x89521),f10(x89521,f334(f334(f123(f926(x89521,a913)),x89522),x89523))),f10(x89521,f334(f334(f114(f926(x89521,a913)),x89522),x89523))),f334(f334(f123(x89521),f10(x89521,x89522)),f10(x89521,x89523)))
% 164.74/165.09 [8953]~P83(x89531)+~P107(f334(f70(x89531),x89533))+~P107(f334(f70(x89531),x89532))+E(f334(f334(f114(f926(x89531,a913)),x89532),x89533),f198(f926(x89531,a913)))+E(f334(f334(f114(x89531),f11(x89531,f334(f334(f123(f926(x89531,a913)),x89532),x89533))),f11(x89531,f334(f334(f114(f926(x89531,a913)),x89532),x89533))),f334(f334(f114(x89531),f11(x89531,x89532)),f11(x89531,x89533)))
% 164.74/165.09 [8954]~P110(x89541)+~P107(f334(f70(x89541),x89543))+~P107(f334(f70(x89541),x89542))+E(f334(f334(f114(f926(x89541,a913)),x89542),x89543),f198(f926(x89541,a913)))+E(f334(f334(f246(x89541),f14(x89541,f334(f334(f123(f926(x89541,a913)),x89542),x89543))),f14(x89541,f334(f334(f114(f926(x89541,a913)),x89542),x89543))),f334(f334(f246(x89541),f14(x89541,x89542)),f14(x89541,x89543)))
% 164.74/165.09 [8955]~P110(x89551)+~P107(f334(f70(x89551),x89553))+~P107(f334(f70(x89551),x89552))+E(f334(f334(f114(f926(x89551,a913)),x89552),x89553),f198(f926(x89551,a913)))+E(f334(f334(f247(x89551),f15(x89551,f334(f334(f123(f926(x89551,a913)),x89552),x89553))),f15(x89551,f334(f334(f114(f926(x89551,a913)),x89552),x89553))),f334(f334(f247(x89551),f15(x89551,x89552)),f15(x89551,x89553)))
% 164.74/165.09 [9185]~P110(x91851)+~P107(f334(f70(x91851),x91853))+~P107(f334(f70(x91851),x91852))+E(f334(f334(f114(f926(x91851,a913)),x91852),x91853),f198(f926(x91851,a913)))+E(f334(f334(f246(x91851),f12(x91851,f246(x91851),f334(f334(f123(f926(x91851,a913)),x91852),x91853))),f12(x91851,f246(x91851),f334(f334(f114(f926(x91851,a913)),x91852),x91853))),f334(f334(f246(x91851),f12(x91851,f246(x91851),x91852)),f12(x91851,f246(x91851),x91853)))
% 164.74/165.09 [9186]~P110(x91861)+~P107(f334(f70(x91861),x91863))+~P107(f334(f70(x91861),x91862))+E(f334(f334(f114(f926(x91861,a913)),x91862),x91863),f198(f926(x91861,a913)))+E(f334(f334(f247(x91861),f13(x91861,f247(x91861),f334(f334(f123(f926(x91861,a913)),x91862),x91863))),f13(x91861,f247(x91861),f334(f334(f114(f926(x91861,a913)),x91862),x91863))),f334(f334(f247(x91861),f13(x91861,f247(x91861),x91862)),f13(x91861,f247(x91861),x91863)))
% 164.74/165.09 [10002]~P125(x100023)+E(x100021,x100022)+~P107(f334(f334(f248(x100023),f2(x100023)),x100022))+~P107(f334(f334(f248(x100023),f2(x100023)),x100021))+~E(f334(f334(f258(x100023),x100021),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))),f334(f334(f258(x100023),x100022),f334(f116(a919),f334(f334(f89(a1),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)),f334(f334(f23(a1),f334(f334(f89(a1),a92),a92)),a110)))))
% 164.74/165.09 [6485]E(f457(x64851,x64852,x64853),x64854)+E(f334(x64851,x64854),f2(a919))+~E(f334(f334(f6(x64853,a919),x64851),x64852),f87(a919))+~P107(f334(f70(x64853),x64852))+~P107(f334(f334(f336(x64853),x64854),x64852))
% 164.74/165.09 [6548]E(f459(x65481,x65482,x65483),x65484)+E(f334(x65481,x65484),f2(a919))+~E(f334(f334(f6(x65483,a919),x65481),x65482),f334(a125,f2(a919)))+~P107(f334(f70(x65483),x65482))+~P107(f334(f334(f336(x65483),x65484),x65482))
% 164.74/165.09 [6657]~P110(x66571)+~P3(x66571)+P107(f334(f334(f249(x66571),x66572),f46(x66571,x66573)))+~P107(f334(f334(f249(x66571),x66572),x66574))+~P107(f334(f334(f336(x66571),x66574),x66573))
% 164.74/165.09 [6831]~P110(x68311)+~P3(x68311)+~P107(f334(f334(f249(x68311),x68314),x68313))+P107(f334(f334(f249(x68311),f47(x68311,x68312)),x68313))+~P107(f334(f334(f336(x68311),x68314),x68312))
% 164.74/165.09 [7083]~P125(x70833)+E(x70831,x70832)+~E(f334(f334(f258(x70833),x70831),f334(a125,x70834)),f334(f334(f258(x70833),x70832),f334(a125,x70834)))+~P107(f334(f334(f248(x70833),f2(x70833)),x70832))+~P107(f334(f334(f248(x70833),f2(x70833)),x70831))
% 164.74/165.09 [7293]~E(f465(x72932,x72933,x72931,x72934),x72934)+~E(f334(x72932,x72934),f87(a919))+E(f334(f334(f6(x72931,a919),x72932),x72933),f87(a919))+~P107(f334(f70(x72931),x72933))+~P107(f334(f334(f336(x72931),x72934),x72933))
% 164.74/165.09 [7300]~P119(x73004)+~P134(x73004)+E(f334(x73001,f527(x73001,x73002,x73003,x73004)),f2(x73004))+~E(f334(f334(f9(x73003,x73004),x73001),x73002),f2(x73004))+~P107(f334(f70(x73003),x73002))
% 164.74/165.09 [7388]~E(f462(x73882,x73883,x73881,x73884),x73884)+~E(f334(x73882,x73884),f334(a125,f2(a919)))+E(f334(f334(f6(x73881,a919),x73882),x73883),f334(a125,f2(a919)))+~P107(f334(f70(x73881),x73883))+~P107(f334(f334(f336(x73881),x73884),x73883))
% 164.74/165.09 [8118]~E(f334(x81182,x81184),f87(a919))+~E(f334(x81182,f465(x81182,x81183,x81181,x81184)),f2(a919))+E(f334(f334(f6(x81181,a919),x81182),x81183),f87(a919))+~P107(f334(f70(x81181),x81183))+~P107(f334(f334(f336(x81181),x81184),x81183))
% 164.74/165.09 [8162]~E(f334(x81622,x81624),f334(a125,f2(a919)))+~E(f334(x81622,f462(x81622,x81623,x81621,x81624)),f2(a919))+E(f334(f334(f6(x81621,a919),x81622),x81623),f334(a125,f2(a919)))+~P107(f334(f70(x81621),x81623))+~P107(f334(f334(f336(x81621),x81624),x81623))
% 164.74/165.09 [8721]~P110(x87211)+~P12(x87211,x87214)+P12(x87211,x87212)+~E(x87212,f334(f334(f161(x87211),x87213),x87214))+~P107(f334(f334(f248(x87211),x87213),f789(x87212,x87211,x87214,x87213)))
% 164.74/165.09 [8758]E(x87581,x87582)+E(f334(f334(f23(a1),f557(x87583,x87582,x87584,x87581)),f558(x87583,x87582,x87584,x87581)),x87581)+~E(f334(f334(f89(a1),x87581),x87584),x87582)+~P107(f334(f334(f249(a1),f2(a1)),x87584))+~P107(f334(f334(f336(a1),x87582),x87583))
% 164.74/165.09 [8759]E(x87591,x87592)+E(f334(f334(f89(a1),f571(x87593,x87592,x87594,x87591)),f572(x87593,x87592,x87594,x87591)),x87591)+~E(f334(f334(f23(a1),x87591),x87594),x87592)+~P107(f334(f334(f249(a1),f2(a1)),x87594))+~P107(f334(f334(f336(a1),x87592),x87593))
% 164.74/165.09 [8950]E(f334(x89501,f682(x89502,x89501,x89503,x89504)),x89502)+P107(f334(f334(f248(a919),x89504),f683(x89502,x89501,x89503,x89504)))+~P107(f334(f334(f248(a1),x89502),f334(x89501,x89503)))+~P107(f334(f334(f249(a919),x89504),x89503))+~P107(f334(f334(f248(a1),f334(x89501,x89504)),x89502))
% 164.74/165.09 [8951]~P110(x89511)+~P12(x89511,x89513)+P12(x89511,x89512)+~E(x89512,f334(f334(f161(x89511),x89514),x89513))+P107(f334(f334(f336(x89511),f789(x89512,x89511,x89513,x89514)),f334(f182(x89511),x89513)))
% 164.74/165.09 [8969]~P119(x89694)+~P134(x89694)+~E(f334(f334(f9(x89691,x89694),x89692),x89693),f2(x89694))+~P107(f334(f70(x89691),x89693))+P107(f334(f334(f336(x89691),f527(x89692,x89693,x89691,x89694)),x89693))
% 164.74/165.09 [9007]~E(f334(x90072,x90074),f87(a919))+E(f334(f334(f6(x90071,a919),x90072),x90073),f87(a919))+~P107(f334(f70(x90071),x90073))+~P107(f334(f334(f336(x90071),x90074),x90073))+P107(f334(f334(f336(x90071),f465(x90072,x90073,x90071,x90074)),x90073))
% 164.74/165.09 [9019]E(x90191,x90192)+~E(f334(f334(f89(a1),x90192),x90194),x90191)+~P107(f334(f334(f249(a1),f2(a1)),x90194))+~P107(f334(f334(f336(a1),x90191),x90193))+P107(f334(f334(f336(a1),f557(x90193,x90191,x90194,x90192)),x90193))
% 164.74/165.09 [9020]E(x90201,x90202)+~E(f334(f334(f23(a1),x90202),x90204),x90201)+~P107(f334(f334(f249(a1),f2(a1)),x90204))+~P107(f334(f334(f336(a1),x90201),x90203))+P107(f334(f334(f336(a1),f571(x90203,x90201,x90204,x90202)),x90203))
% 164.74/165.09 [9022]~E(f334(x90222,x90224),f334(a125,f2(a919)))+E(f334(f334(f6(x90221,a919),x90222),x90223),f334(a125,f2(a919)))+~P107(f334(f70(x90221),x90223))+~P107(f334(f334(f336(x90221),x90224),x90223))+P107(f334(f334(f336(x90221),f462(x90222,x90223,x90221,x90224)),x90223))
% 164.74/165.09 [9027]P58(x90272,x90273,x90274,x90271)+E(x90271,f198(f926(x90272,a913)))+~P107(f334(f70(x90272),x90274))+~P107(f334(f70(x90272),x90271))+P107(f334(f334(f336(x90272),f858(x90273,x90271,x90274,x90272)),x90274))
% 164.74/165.09 [9028]P58(x90282,x90283,x90284,x90281)+E(x90281,f198(f926(x90282,a913)))+~P107(f334(f70(x90282),x90284))+~P107(f334(f70(x90282),x90281))+P107(f334(f334(f336(x90282),f407(x90281,x90284,x90283,x90282)),x90284))
% 164.74/165.09 [9110]E(x91101,x91102)+~E(f334(f334(f89(a1),x91102),x91104),x91101)+~P107(f334(f334(f249(a1),f2(a1)),x91104))+~P107(f334(f334(f336(a1),x91101),x91103))+P107(f334(f334(f336(a1),f558(x91103,x91101,x91104,x91102)),f310(a1,f87(a1),x91104)))
% 164.74/165.09 [9111]E(x91111,x91112)+~E(f334(f334(f23(a1),x91112),x91114),x91111)+~P107(f334(f334(f249(a1),f2(a1)),x91114))+~P107(f334(f334(f336(a1),x91111),x91113))+P107(f334(f334(f336(a1),f572(x91113,x91111,x91114,x91112)),f310(a1,f87(a1),x91114)))
% 164.74/165.09 [9191]P107(f334(f334(f248(a919),x91911),f682(x91912,x91913,x91914,x91911)))+~P107(f334(f334(f248(a1),x91912),f334(x91913,x91914)))+P107(f334(f334(f248(a919),x91911),f683(x91912,x91913,x91914,x91911)))+~P107(f334(f334(f249(a919),x91911),x91914))+~P107(f334(f334(f248(a1),f334(x91913,x91911)),x91912))
% 164.74/165.09 [9307]E(f334(x93071,f682(x93072,x93071,x93073,x93074)),x93072)+~P107(f334(f334(f248(a1),x93072),f334(x93071,x93073)))+P107(f334(f334(f249(a919),f683(x93072,x93071,x93073,x93074)),x93073))+~P107(f334(f334(f249(a919),x93074),x93073))+~P107(f334(f334(f248(a1),f334(x93071,x93074)),x93072))
% 164.74/165.09 [9435]~P107(f334(f334(f248(a1),x94352),f334(x94353,x94354)))+P107(f334(f334(f248(a919),x94351),f683(x94352,x94353,x94354,x94351)))+P107(f334(f334(f248(a919),f682(x94352,x94353,x94354,x94351)),x94354))+~P107(f334(f334(f249(a919),x94351),x94354))+~P107(f334(f334(f248(a1),f334(x94353,x94351)),x94352))
% 164.74/165.09 [9436]~P107(f334(f334(f248(a1),x94362),f334(x94363,x94364)))+P107(f334(f334(f248(a919),x94361),f682(x94362,x94363,x94364,x94361)))+P107(f334(f334(f249(a919),f683(x94362,x94363,x94364,x94361)),x94364))+~P107(f334(f334(f249(a919),x94361),x94364))+~P107(f334(f334(f248(a1),f334(x94363,x94361)),x94362))
% 164.74/165.09 [9549]~P107(f334(f334(f248(a1),x95491),f334(x95492,x95493)))+P107(f334(f334(f249(a919),f683(x95491,x95492,x95493,x95494)),x95493))+~P107(f334(f334(f249(a919),x95494),x95493))+~P107(f334(f334(f248(a1),f334(x95492,x95494)),x95491))+P107(f334(f334(f248(a919),f682(x95491,x95492,x95493,x95494)),x95493))
% 164.74/165.09 [9634]E(x96341,f198(f926(x96342,a913)))+~P107(f334(f70(x96342),x96344))+~P107(f334(f70(x96342),x96341))+P107(f334(f334(f336(f925(f926(x96342,a913),f926(x96342,a913))),f334(f334(f266(f926(x96342,a913),f926(x96342,a913)),x96344),x96341)),f326(x96342,x96343)))+P107(f334(f334(f336(x96342),f410(x96343,x96341,x96344,x96342)),x96344))
% 164.74/165.09 [9635]E(x96351,f198(f926(x96352,a913)))+~P107(f334(f70(x96352),x96354))+~P107(f334(f70(x96352),x96351))+P107(f334(f334(f336(f925(f926(x96352,a913),f926(x96352,a913))),f334(f334(f266(f926(x96352,a913),f926(x96352,a913)),x96354),x96351)),f326(x96352,x96353)))+P107(f334(f334(f336(x96352),f648(x96353,x96351,x96354,x96352)),x96354))
% 164.74/165.09 [10309]E(f334(x103091,f682(x103092,x103091,x103093,x103094)),x103092)+~P107(f334(f334(f248(a1),x103092),f334(x103091,x103093)))+~P107(f334(f334(f248(a1),f334(f84(a1),f334(f334(f23(a1),f334(x103091,f334(f334(f89(a919),f683(x103092,x103091,x103093,x103094)),f87(a919)))),f334(x103091,f683(x103092,x103091,x103093,x103094))))),f87(a1)))+~P107(f334(f334(f249(a919),x103094),x103093))+~P107(f334(f334(f248(a1),f334(x103091,x103094)),x103092))
% 164.74/165.09 [10310]~P107(f334(f334(f248(a1),x103102),f334(x103103,x103104)))+P107(f334(f334(f248(a919),x103101),f682(x103102,x103103,x103104,x103101)))+~P107(f334(f334(f248(a1),f334(f84(a1),f334(f334(f23(a1),f334(x103103,f334(f334(f89(a919),f683(x103102,x103103,x103104,x103101)),f87(a919)))),f334(x103103,f683(x103102,x103103,x103104,x103101))))),f87(a1)))+~P107(f334(f334(f249(a919),x103101),x103104))+~P107(f334(f334(f248(a1),f334(x103103,x103101)),x103102))
% 164.74/165.09 [10311]~P107(f334(f334(f248(a1),x103111),f334(x103112,x103113)))+~P107(f334(f334(f248(a1),f334(f84(a1),f334(f334(f23(a1),f334(x103112,f334(f334(f89(a919),f683(x103111,x103112,x103113,x103114)),f87(a919)))),f334(x103112,f683(x103111,x103112,x103113,x103114))))),f87(a1)))+~P107(f334(f334(f249(a919),x103114),x103113))+~P107(f334(f334(f248(a1),f334(x103112,x103114)),x103111))+P107(f334(f334(f248(a919),f682(x103111,x103112,x103113,x103114)),x103113))
% 164.74/165.09 [7354]~P67(x73541)+P107(f334(f334(f249(x73541),x73542),f2(x73541)))+~P107(f334(f334(f248(x73541),x73543),f2(x73541)))+P107(f334(f334(f249(x73541),f2(x73541)),x73542))+P107(f334(f334(f248(x73541),x73543),f334(f334(f297(x73541),x73544),x73542)))
% 164.74/165.09 [7355]~P67(x73551)+P107(f334(f334(f249(x73551),x73552),f2(x73551)))+~P107(f334(f334(f249(x73551),x73553),f2(x73551)))+P107(f334(f334(f249(x73551),f2(x73551)),x73552))+P107(f334(f334(f249(x73551),x73553),f334(f334(f297(x73551),x73554),x73552)))
% 164.74/165.09 [7600]~P67(x76001)+P107(f334(f334(f248(x76001),x76002),f2(x76001)))+P107(f334(f334(f249(x76001),x76003),f2(x76001)))+P107(f334(f334(f249(x76001),f2(x76001)),x76003))+~P107(f334(f334(f248(x76001),x76002),f334(f334(f297(x76001),x76004),x76003)))
% 164.74/165.09 [7601]~P67(x76011)+P107(f334(f334(f249(x76011),x76012),f2(x76011)))+P107(f334(f334(f249(x76011),x76013),f2(x76011)))+P107(f334(f334(f249(x76011),f2(x76011)),x76013))+~P107(f334(f334(f249(x76011),x76012),f334(f334(f297(x76011),x76014),x76013)))
% 164.74/165.09 [7716]E(x77161,x77162)+~E(f334(f334(f174(x77163),x77164),x77161),f334(f334(f174(x77163),x77164),x77162))+~P107(f334(f147(x77163),x77164))+~P107(f334(f334(f249(a919),x77162),f334(f199(f920(x77163)),x77164)))+~P107(f334(f334(f249(a919),x77161),f334(f199(f920(x77163)),x77164)))
% 164.74/165.09 [8081]~P67(x80811)+~P107(f334(f334(f248(x80811),x80813),f2(x80811)))+P107(f334(f334(f249(x80811),f2(x80811)),x80812))+~P107(f334(f334(f248(x80811),x80814),f334(f334(f90(x80811),x80813),x80812)))+P107(f334(f334(f248(x80811),x80813),f334(f334(f297(x80811),x80814),x80812)))
% 164.74/165.09 [8082]~P67(x80821)+~P107(f334(f334(f249(x80821),x80823),f2(x80821)))+P107(f334(f334(f249(x80821),f2(x80821)),x80822))+~P107(f334(f334(f249(x80821),x80824),f334(f334(f90(x80821),x80823),x80822)))+P107(f334(f334(f249(x80821),x80823),f334(f334(f297(x80821),x80824),x80822)))
% 164.74/165.09 [8083]~P67(x80831)+~P107(f334(f334(f249(x80831),x80832),f2(x80831)))+P107(f334(f334(f249(x80831),f2(x80831)),x80832))+~P107(f334(f334(f248(x80831),x80834),f334(f334(f90(x80831),x80833),x80832)))+P107(f334(f334(f248(x80831),x80833),f334(f334(f297(x80831),x80834),x80832)))
% 164.74/165.09 [8084]~P67(x80841)+~P107(f334(f334(f249(x80841),x80842),f2(x80841)))+P107(f334(f334(f249(x80841),f2(x80841)),x80842))+~P107(f334(f334(f248(x80841),x80844),f334(f334(f297(x80841),x80843),x80842)))+P107(f334(f334(f248(x80841),x80843),f334(f334(f90(x80841),x80844),x80842)))
% 164.74/165.09 [8085]~P67(x80851)+~P107(f334(f334(f249(x80851),x80852),f2(x80851)))+P107(f334(f334(f249(x80851),f2(x80851)),x80852))+~P107(f334(f334(f249(x80851),x80854),f334(f334(f90(x80851),x80853),x80852)))+P107(f334(f334(f249(x80851),x80853),f334(f334(f297(x80851),x80854),x80852)))
% 164.74/165.09 [8086]~P67(x80861)+~P107(f334(f334(f249(x80861),x80862),f2(x80861)))+P107(f334(f334(f249(x80861),f2(x80861)),x80862))+~P107(f334(f334(f249(x80861),x80864),f334(f334(f297(x80861),x80863),x80862)))+P107(f334(f334(f249(x80861),x80863),f334(f334(f90(x80861),x80864),x80862)))
% 164.74/165.09 [8232]~P110(x82321)+~P12(x82321,x82322)+~P107(f334(f334(f248(a919),x82323),x82324))+P107(f334(f334(f248(x82321),f334(f334(f174(x82321),x82322),x82323)),f334(f334(f174(x82321),x82322),x82324)))+~P107(f334(f334(f249(a919),x82324),f334(f199(f920(x82321)),x82322)))
% 164.74/165.09 [8281]~P125(x82811)+~P107(f334(f334(f248(x82811),x82812),f87(x82811)))+~P107(f334(f334(f248(x82811),f2(x82811)),x82812))+~P107(f334(f334(f248(a919),x82814),x82813))+P107(f334(f334(f248(x82811),f334(f334(f258(x82811),x82812),x82813)),f334(f334(f258(x82811),x82812),x82814)))
% 164.74/165.09 [8282]~P125(x82821)+~P107(f334(f334(f249(x82821),x82822),f87(x82821)))+~P107(f334(f334(f249(x82821),f2(x82821)),x82822))+~P107(f334(f334(f249(a919),x82824),x82823))+P107(f334(f334(f249(x82821),f334(f334(f258(x82821),x82822),x82823)),f334(f334(f258(x82821),x82822),x82824)))
% 164.74/165.09 [8283]~P125(x82831)+~P107(f334(f334(f248(x82831),f2(x82831)),x82832))+~P107(f334(f334(f249(a919),f2(a919)),x82833))+~P107(f334(f334(f249(x82831),x82832),x82834))+P107(f334(f334(f249(x82831),f334(f334(f258(x82831),x82832),x82833)),f334(f334(f258(x82831),x82834),x82833)))
% 164.74/165.09 [8302]~P110(x83021)+~P12(x83021,f334(f178(x83021),x83022))+~P107(f334(f334(f248(a919),x83024),x83023))+P107(f334(f334(f248(x83021),f334(f334(f174(x83021),x83022),x83023)),f334(f334(f174(x83021),x83022),x83024)))+~P107(f334(f334(f249(a919),x83023),f334(f199(f920(x83021)),x83022)))
% 164.74/165.09 [8549]~P67(x85491)+~P107(f334(f334(f248(x85491),x85492),f2(x85491)))+~P107(f334(f334(f248(x85491),x85493),x85494))+~P107(f334(f334(f249(x85491),f2(x85491)),f334(f334(f90(x85491),x85493),x85494)))+P107(f334(f334(f248(x85491),f334(f334(f297(x85491),x85492),x85493)),f334(f334(f297(x85491),x85492),x85494)))
% 164.74/165.09 [8550]~P68(x85501)+~P107(f334(f334(f249(x85501),x85502),f2(x85501)))+~P107(f334(f334(f249(x85501),x85503),x85504))+~P107(f334(f334(f249(x85501),f2(x85501)),f334(f334(f90(x85501),x85503),x85504)))+P107(f334(f334(f249(x85501),f334(f334(f297(x85501),x85502),x85503)),f334(f334(f297(x85501),x85502),x85504)))
% 164.74/165.09 [8559]~P68(x85591)+~P107(f334(f334(f248(x85591),x85594),x85593))+~P107(f334(f334(f248(x85591),f2(x85591)),x85592))+~P107(f334(f334(f249(x85591),f2(x85591)),f334(f334(f90(x85591),x85593),x85594)))+P107(f334(f334(f248(x85591),f334(f334(f297(x85591),x85592),x85593)),f334(f334(f297(x85591),x85592),x85594)))
% 164.74/165.09 [8560]~P68(x85601)+~P107(f334(f334(f249(x85601),x85604),x85603))+~P107(f334(f334(f249(x85601),f2(x85601)),x85602))+~P107(f334(f334(f249(x85601),f2(x85601)),f334(f334(f90(x85601),x85603),x85604)))+P107(f334(f334(f249(x85601),f334(f334(f297(x85601),x85602),x85603)),f334(f334(f297(x85601),x85602),x85604)))
% 164.74/165.09 [8668]P107(f334(x86681,x86682))+~P107(f334(f70(x86684),x86682))+P107(f334(x86681,f404(x86681,x86683,x86682,x86684)))+~P107(f334(x86681,f198(f926(x86684,a913))))+~P107(f334(f334(f248(f926(x86684,a913)),x86682),x86683))
% 164.74/165.09 [8677]P107(f334(x86771,x86772))+P107(f334(f70(x86773),f404(x86771,x86774,x86772,x86773)))+~P107(f334(f70(x86773),x86772))+~P107(f334(x86771,f198(f926(x86773,a913))))+~P107(f334(f334(f248(f926(x86773,a913)),x86772),x86774))
% 164.74/165.09 [8945]E(f334(f334(f89(a1),f577(x89451,x89452,x89453,x89454)),f578(x89451,x89452,x89453,x89454)),x89454)+~P107(f334(f334(f249(a1),f2(a1)),x89453))+~P107(f334(f334(f249(a1),x89452),x89454))+~P107(f334(f334(f336(a1),x89452),x89451))+P107(f334(f334(f249(a1),x89452),f334(f334(f23(a1),x89454),x89453)))
% 164.74/165.09 [9171]~P107(f334(f334(f249(a1),f2(a1)),x91713))+~P107(f334(f334(f249(a1),x91712),x91714))+~P107(f334(f334(f336(a1),x91712),x91711))+P107(f334(f334(f336(a1),f577(x91711,x91712,x91713,x91714)),x91711))+P107(f334(f334(f249(a1),x91712),f334(f334(f23(a1),x91714),x91713)))
% 164.74/165.09 [9184]P107(f334(x91841,x91842))+~P107(f334(f70(x91843),x91842))+P107(f334(f334(f336(x91843),f405(x91841,x91844,x91842,x91843)),x91844))+~P107(f334(x91841,f198(f926(x91843,a913))))+~P107(f334(f334(f248(f926(x91843,a913)),x91842),x91844))
% 164.74/165.09 [9201]E(f334(f334(f89(a1),f559(x92011,x92012,x92013,x92014)),f560(x92011,x92012,x92013,x92014)),x92014)+~P107(f334(f334(f249(a1),f2(a1)),x92013))+~P107(f334(f334(f248(a1),x92012),x92014))+P107(f334(f334(f248(a1),x92012),f334(f334(f23(a1),x92014),x92013)))+~P107(f334(f334(f336(a1),f334(f334(f23(a1),x92012),f87(a1))),x92011))
% 164.74/165.09 [9256]~P107(f334(f334(f249(a1),f2(a1)),x92563))+~P107(f334(f334(f249(a1),x92561),x92562))+~P107(f334(f334(f336(a1),x92561),x92564))+P107(f334(f334(f336(a1),f578(x92564,x92561,x92563,x92562)),f310(a1,f87(a1),x92563)))+P107(f334(f334(f249(a1),x92561),f334(f334(f23(a1),x92562),x92563)))
% 164.74/165.09 [9282]~P72(x92822)+~E(f839(x92823,x92824,x92821,x92822),f840(x92823,x92824,x92821,x92822))+~P107(f334(f70(x92821),f841(x92823,x92824,x92821,x92822)))+E(f334(f334(f6(f926(x92821,a913),x92822),f334(f6(x92821,x92822),x92823)),x92824),f334(f334(f6(x92821,x92822),x92823),f46(f926(x92821,a913),x92824)))+~P107(f334(f70(f926(x92821,a913)),x92824))
% 164.74/165.09 [9287]~P72(x92872)+~E(f334(x92873,f843(x92873,x92874,x92871,x92872)),f2(x92872))+~P107(f334(f70(x92871),f841(x92873,x92874,x92871,x92872)))+E(f334(f334(f6(f926(x92871,a913),x92872),f334(f6(x92871,x92872),x92873)),x92874),f334(f334(f6(x92871,x92872),x92873),f46(f926(x92871,a913),x92874)))+~P107(f334(f70(f926(x92871,a913)),x92874))
% 164.74/165.09 [9349]~P107(f334(f334(f249(a1),f2(a1)),x93493))+~P107(f334(f334(f248(a1),x93492),x93494))+P107(f334(f334(f336(a1),f559(x93491,x93492,x93493,x93494)),x93491))+P107(f334(f334(f248(a1),x93492),f334(f334(f23(a1),x93494),x93493)))+~P107(f334(f334(f336(a1),f334(f334(f23(a1),x93492),f87(a1))),x93491))
% 164.74/165.09 [9390]~P107(f334(f334(f249(a1),f2(a1)),x93903))+~P107(f334(f334(f248(a1),x93901),x93902))+P107(f334(f334(f336(a1),f560(x93904,x93901,x93903,x93902)),f310(a1,f87(a1),x93903)))+P107(f334(f334(f248(a1),x93901),f334(f334(f23(a1),x93902),x93903)))+~P107(f334(f334(f336(a1),f334(f334(f23(a1),x93901),f87(a1))),x93904))
% 164.74/165.09 [9417]~P72(x94172)+~E(f839(x94173,x94174,x94171,x94172),f840(x94173,x94174,x94171,x94172))+E(f334(f334(f6(f926(x94171,a913),x94172),f334(f6(x94171,x94172),x94173)),x94174),f334(f334(f6(x94171,x94172),x94173),f46(f926(x94171,a913),x94174)))+P107(f334(f334(f336(f926(x94171,a913)),f841(x94173,x94174,x94171,x94172)),x94174))+~P107(f334(f70(f926(x94171,a913)),x94174))
% 164.85/165.09 [9422]~P72(x94222)+~E(f334(x94223,f843(x94223,x94224,x94221,x94222)),f2(x94222))+E(f334(f334(f6(f926(x94221,a913),x94222),f334(f6(x94221,x94222),x94223)),x94224),f334(f334(f6(x94221,x94222),x94223),f46(f926(x94221,a913),x94224)))+P107(f334(f334(f336(f926(x94221,a913)),f841(x94223,x94224,x94221,x94222)),x94224))+~P107(f334(f70(f926(x94221,a913)),x94224))
% 164.85/165.09 [9526]~P72(x95262)+~P107(f334(f70(x95261),f841(x95263,x95264,x95261,x95262)))+E(f334(f334(f6(f926(x95261,a913),x95262),f334(f6(x95261,x95262),x95263)),x95264),f334(f334(f6(x95261,x95262),x95263),f46(f926(x95261,a913),x95264)))+P107(f334(f334(f336(f926(x95261,a913)),f840(x95263,x95264,x95261,x95262)),x95264))+~P107(f334(f70(f926(x95261,a913)),x95264))
% 164.85/165.09 [9527]~P72(x95272)+~P107(f334(f70(x95271),f841(x95273,x95274,x95271,x95272)))+E(f334(f334(f6(f926(x95271,a913),x95272),f334(f6(x95271,x95272),x95273)),x95274),f334(f334(f6(x95271,x95272),x95273),f46(f926(x95271,a913),x95274)))+P107(f334(f334(f336(f926(x95271,a913)),f839(x95273,x95274,x95271,x95272)),x95274))+~P107(f334(f70(f926(x95271,a913)),x95274))
% 164.85/165.09 [9606]~P72(x96062)+E(f334(f334(f6(f926(x96061,a913),x96062),f334(f6(x96061,x96062),x96063)),x96064),f334(f334(f6(x96061,x96062),x96063),f46(f926(x96061,a913),x96064)))+P107(f334(f334(f336(f926(x96061,a913)),f841(x96063,x96064,x96061,x96062)),x96064))+P107(f334(f334(f336(f926(x96061,a913)),f840(x96063,x96064,x96061,x96062)),x96064))+~P107(f334(f70(f926(x96061,a913)),x96064))
% 164.85/165.09 [9607]~P72(x96072)+E(f334(f334(f6(f926(x96071,a913),x96072),f334(f6(x96071,x96072),x96073)),x96074),f334(f334(f6(x96071,x96072),x96073),f46(f926(x96071,a913),x96074)))+P107(f334(f334(f336(f926(x96071,a913)),f841(x96073,x96074,x96071,x96072)),x96074))+P107(f334(f334(f336(f926(x96071,a913)),f839(x96073,x96074,x96071,x96072)),x96074))+~P107(f334(f70(f926(x96071,a913)),x96074))
% 164.85/165.09 [9624]~P72(x96242)+P107(f334(f334(f336(x96241),f843(x96243,x96244,x96241,x96242)),f840(x96243,x96244,x96241,x96242)))+~P107(f334(f70(x96241),f841(x96243,x96244,x96241,x96242)))+E(f334(f334(f6(f926(x96241,a913),x96242),f334(f6(x96241,x96242),x96243)),x96244),f334(f334(f6(x96241,x96242),x96243),f46(f926(x96241,a913),x96244)))+~P107(f334(f70(f926(x96241,a913)),x96244))
% 164.85/165.09 [9625]~P72(x96252)+P107(f334(f334(f336(x96251),f843(x96253,x96254,x96251,x96252)),f839(x96253,x96254,x96251,x96252)))+~P107(f334(f70(x96251),f841(x96253,x96254,x96251,x96252)))+E(f334(f334(f6(f926(x96251,a913),x96252),f334(f6(x96251,x96252),x96253)),x96254),f334(f334(f6(x96251,x96252),x96253),f46(f926(x96251,a913),x96254)))+~P107(f334(f70(f926(x96251,a913)),x96254))
% 164.85/165.09 [9637]P107(f334(x96371,x96372))+~P107(f334(f334(f336(x96373),f405(x96371,x96374,x96372,x96373)),f404(x96371,x96374,x96372,x96373)))+~P107(f334(f70(x96373),x96372))+~P107(f334(x96371,f198(f926(x96373,a913))))+~P107(f334(f334(f248(f926(x96373,a913)),x96372),x96374))
% 164.85/165.09 [9678]~P72(x96782)+P107(f334(f334(f336(x96781),f843(x96783,x96784,x96781,x96782)),f840(x96783,x96784,x96781,x96782)))+E(f334(f334(f6(f926(x96781,a913),x96782),f334(f6(x96781,x96782),x96783)),x96784),f334(f334(f6(x96781,x96782),x96783),f46(f926(x96781,a913),x96784)))+P107(f334(f334(f336(f926(x96781,a913)),f841(x96783,x96784,x96781,x96782)),x96784))+~P107(f334(f70(f926(x96781,a913)),x96784))
% 164.85/165.09 [9679]~P72(x96792)+P107(f334(f334(f336(x96791),f843(x96793,x96794,x96791,x96792)),f839(x96793,x96794,x96791,x96792)))+E(f334(f334(f6(f926(x96791,a913),x96792),f334(f6(x96791,x96792),x96793)),x96794),f334(f334(f6(x96791,x96792),x96793),f46(f926(x96791,a913),x96794)))+P107(f334(f334(f336(f926(x96791,a913)),f841(x96793,x96794,x96791,x96792)),x96794))+~P107(f334(f70(f926(x96791,a913)),x96794))
% 164.85/165.09 [9863]P107(f334(x98631,x98632))+~P107(f334(f70(x98633),x98632))+~P107(f334(x98631,f334(f334(f316(x98633),f405(x98631,x98634,x98632,x98633)),f404(x98631,x98634,x98632,x98633))))+~P107(f334(x98631,f198(f926(x98633,a913))))+~P107(f334(f334(f248(f926(x98633,a913)),x98632),x98634))
% 164.85/165.09 [7851]~P67(x78511)+P107(f334(f334(f249(x78511),x78512),f2(x78511)))+~P107(f334(f334(f248(x78511),f2(x78511)),x78514))+P107(f334(f334(f249(x78511),f2(x78511)),x78512))+P107(f334(f334(f248(x78511),f334(f334(f297(x78511),x78513),x78512)),x78514))
% 164.85/165.09 [7852]~P67(x78521)+P107(f334(f334(f249(x78521),x78522),f2(x78521)))+P107(f334(f334(f249(x78521),f2(x78521)),x78522))+~P107(f334(f334(f249(x78521),f2(x78521)),x78524))+P107(f334(f334(f249(x78521),f334(f334(f297(x78521),x78523),x78522)),x78524))
% 164.85/165.09 [8134]~P107(f334(f334(f248(a1),x81344),f2(a1)))+~E(x81342,f334(f334(f89(a1),f334(f334(f90(a1),x81341),x81343)),x81344))+P107(f334(f334(f249(a1),f2(a1)),x81341))+~P107(f334(f334(f249(a1),x81341),x81344))+P107(f334(f58(x81342,x81341),f334(f334(f266(a1,a1),x81343),x81344)))
% 164.85/165.09 [8171]~P107(f334(x81711,x81714))+P107(f334(x81711,f554(x81712,x81711,x81713)))+~P107(f334(f334(f248(a1),f2(a1)),x81712))+~P107(f334(f334(f249(a1),f2(a1)),x81713))+P107(f334(x81711,f334(f334(f23(a1),x81714),f334(f334(f90(a1),x81712),x81713))))
% 164.85/165.09 [8172]~P107(f334(x81721,x81724))+P107(f334(x81721,f595(x81722,x81721,x81723)))+~P107(f334(f334(f248(a1),f2(a1)),x81722))+~P107(f334(f334(f249(a1),f2(a1)),x81723))+P107(f334(x81721,f334(f334(f89(a1),x81724),f334(f334(f90(a1),x81722),x81723))))
% 164.85/165.09 [8173]~P67(x81731)+P107(f334(f334(f249(x81731),x81732),f2(x81731)))+P107(f334(f334(f249(x81731),f2(x81731)),x81732))+P107(f334(f334(f248(x81731),f2(x81731)),x81733))+~P107(f334(f334(f248(x81731),f334(f334(f297(x81731),x81734),x81732)),x81733))
% 164.85/165.09 [8174]~P67(x81741)+P107(f334(f334(f249(x81741),x81742),f2(x81741)))+P107(f334(f334(f249(x81741),f2(x81741)),x81742))+P107(f334(f334(f249(x81741),f2(x81741)),x81743))+~P107(f334(f334(f249(x81741),f334(f334(f297(x81741),x81744),x81742)),x81743))
% 164.85/165.09 [8225]~E(x82251,f334(f334(f89(a1),f334(f334(f90(a1),x82252),x82253)),x82254))+~P107(f334(f334(f248(a1),f2(a1)),x82254))+~P107(f334(f334(f249(a1),f2(a1)),x82252))+~P107(f334(f334(f249(a1),x82254),x82252))+P107(f334(f58(x82251,x82252),f334(f334(f266(a1,a1),x82253),x82254)))
% 164.85/165.09 [8341]~P67(x83411)+P107(f334(f334(f249(x83411),x83412),f2(x83411)))+~P107(f334(f334(f248(x83411),f2(x83411)),x83414))+~P107(f334(f334(f248(x83411),x83413),f334(f334(f90(x83411),x83414),x83412)))+P107(f334(f334(f248(x83411),f334(f334(f297(x83411),x83413),x83412)),x83414))
% 164.85/165.09 [8342]~P67(x83421)+P107(f334(f334(f249(x83421),x83422),f2(x83421)))+~P107(f334(f334(f249(x83421),f2(x83421)),x83424))+~P107(f334(f334(f249(x83421),x83423),f334(f334(f90(x83421),x83424),x83422)))+P107(f334(f334(f249(x83421),f334(f334(f297(x83421),x83423),x83422)),x83424))
% 164.85/165.09 [8426]~P67(x84261)+P107(f334(f334(f249(x84261),x84262),f2(x84261)))+~P107(f334(f334(f248(x84261),x84263),f2(x84261)))+P107(f334(f334(f248(x84261),x84263),f334(f334(f297(x84261),x84264),x84262)))+~P107(f334(f334(f248(x84261),f334(f334(f90(x84261),x84263),x84262)),x84264))
% 164.85/165.09 [8427]~P67(x84271)+P107(f334(f334(f249(x84271),x84272),f2(x84271)))+~P107(f334(f334(f249(x84271),x84273),f2(x84271)))+P107(f334(f334(f249(x84271),x84273),f334(f334(f297(x84271),x84274),x84272)))+~P107(f334(f334(f249(x84271),f334(f334(f90(x84271),x84273),x84272)),x84274))
% 164.85/165.09 [8586]~P67(x85861)+~P107(f334(f334(f249(x85861),x85862),f2(x85861)))+P107(f334(f334(f249(x85861),f2(x85861)),x85862))+~P107(f334(f334(f248(x85861),f334(f334(f297(x85861),x85864),x85862)),x85863))+P107(f334(f334(f248(x85861),f334(f334(f90(x85861),x85863),x85862)),x85864))
% 164.85/165.09 [8587]~P67(x85871)+~P107(f334(f334(f249(x85871),x85872),f2(x85871)))+P107(f334(f334(f249(x85871),f2(x85871)),x85872))+~P107(f334(f334(f248(x85871),f334(f334(f90(x85871),x85874),x85872)),x85873))+P107(f334(f334(f248(x85871),f334(f334(f297(x85871),x85873),x85872)),x85874))
% 164.85/165.09 [8588]~P67(x85881)+~P107(f334(f334(f249(x85881),x85882),f2(x85881)))+P107(f334(f334(f249(x85881),f2(x85881)),x85882))+~P107(f334(f334(f249(x85881),f334(f334(f297(x85881),x85884),x85882)),x85883))+P107(f334(f334(f249(x85881),f334(f334(f90(x85881),x85883),x85882)),x85884))
% 164.85/165.09 [8589]~P67(x85891)+~P107(f334(f334(f249(x85891),x85892),f2(x85891)))+P107(f334(f334(f249(x85891),f2(x85891)),x85892))+~P107(f334(f334(f249(x85891),f334(f334(f90(x85891),x85894),x85892)),x85893))+P107(f334(f334(f249(x85891),f334(f334(f297(x85891),x85893),x85892)),x85894))
% 164.85/165.09 [8609]~P67(x86091)+~P107(f334(f334(f248(x86091),f2(x86091)),x86094))+P107(f334(f334(f249(x86091),f2(x86091)),x86092))+~P107(f334(f334(f248(x86091),f334(f334(f90(x86091),x86094),x86092)),x86093))+P107(f334(f334(f248(x86091),f334(f334(f297(x86091),x86093),x86092)),x86094))
% 164.85/165.09 [8610]~P67(x86101)+~P107(f334(f334(f249(x86101),f2(x86101)),x86104))+P107(f334(f334(f249(x86101),f2(x86101)),x86102))+~P107(f334(f334(f249(x86101),f334(f334(f90(x86101),x86104),x86102)),x86103))+P107(f334(f334(f249(x86101),f334(f334(f297(x86101),x86103),x86102)),x86104))
% 164.85/165.09 [8685]~P67(x86851)+~P107(f334(f334(f249(x86851),x86854),f2(x86851)))+~P107(f334(f334(f248(x86851),x86853),f334(f334(f90(x86851),x86852),x86854)))+P107(f334(f334(f248(x86851),x86852),f334(f334(f297(x86851),x86853),x86854)))+~P107(f334(f334(f248(x86851),f334(f334(f90(x86851),x86852),x86854)),x86853))
% 164.85/165.09 [8686]~P67(x86861)+~P107(f334(f334(f248(x86861),x86862),f2(x86861)))+~P107(f334(f334(f248(x86861),x86863),f334(f334(f90(x86861),x86862),x86864)))+P107(f334(f334(f248(x86861),x86862),f334(f334(f297(x86861),x86863),x86864)))+~P107(f334(f334(f248(x86861),f334(f334(f90(x86861),x86862),x86864)),x86863))
% 164.85/165.09 [8687]~P67(x86871)+~P107(f334(f334(f249(x86871),x86874),f2(x86871)))+~P107(f334(f334(f249(x86871),x86873),f334(f334(f90(x86871),x86872),x86874)))+P107(f334(f334(f249(x86871),x86872),f334(f334(f297(x86871),x86873),x86874)))+~P107(f334(f334(f249(x86871),f334(f334(f90(x86871),x86872),x86874)),x86873))
% 164.85/165.09 [8688]~P67(x86881)+~P107(f334(f334(f249(x86881),x86882),f2(x86881)))+~P107(f334(f334(f249(x86881),x86883),f334(f334(f90(x86881),x86882),x86884)))+P107(f334(f334(f249(x86881),x86882),f334(f334(f297(x86881),x86883),x86884)))+~P107(f334(f334(f249(x86881),f334(f334(f90(x86881),x86882),x86884)),x86883))
% 164.85/165.09 [8812]~P67(x88121)+~P107(f334(f334(f249(x88121),x88123),f2(x88121)))+~P107(f334(f334(f248(x88121),x88122),f334(f334(f90(x88121),x88124),x88123)))+~P107(f334(f334(f248(x88121),f334(f334(f90(x88121),x88124),x88123)),x88122))+P107(f334(f334(f248(x88121),f334(f334(f297(x88121),x88122),x88123)),x88124))
% 164.85/165.09 [8813]~P67(x88131)+~P107(f334(f334(f249(x88131),x88133),f2(x88131)))+~P107(f334(f334(f249(x88131),x88132),f334(f334(f90(x88131),x88134),x88133)))+~P107(f334(f334(f249(x88131),f334(f334(f90(x88131),x88134),x88133)),x88132))+P107(f334(f334(f249(x88131),f334(f334(f297(x88131),x88132),x88133)),x88134))
% 164.85/165.09 [8830]~P67(x88301)+~P107(f334(f334(f248(x88301),f2(x88301)),x88304))+~P107(f334(f334(f248(x88301),x88302),f334(f334(f90(x88301),x88304),x88303)))+~P107(f334(f334(f248(x88301),f334(f334(f90(x88301),x88304),x88303)),x88302))+P107(f334(f334(f248(x88301),f334(f334(f297(x88301),x88302),x88303)),x88304))
% 164.85/165.09 [8831]~P67(x88311)+~P107(f334(f334(f249(x88311),f2(x88311)),x88314))+~P107(f334(f334(f249(x88311),x88312),f334(f334(f90(x88311),x88314),x88313)))+~P107(f334(f334(f249(x88311),f334(f334(f90(x88311),x88314),x88313)),x88312))+P107(f334(f334(f249(x88311),f334(f334(f297(x88311),x88312),x88313)),x88314))
% 164.85/165.09 [9012]E(f334(f334(f23(a1),f573(x90121,x90122,x90123,x90124)),f574(x90121,x90122,x90123,x90124)),x90124)+~P107(f334(f334(f249(a1),f2(a1)),x90123))+~P107(f334(f334(f336(a1),x90122),x90121))+~P107(f334(f334(f249(a1),x90124),x90122))+P107(f334(f334(f249(a1),f334(f334(f89(a1),x90124),x90123)),x90122))
% 164.85/165.09 [9090]~P107(f334(x90901,x90902))+~P107(f334(f334(f248(a1),f2(a1)),x90903))+~P107(f334(f334(f249(a1),f2(a1)),x90904))+~P107(f334(x90901,f334(f334(f23(a1),f554(x90903,x90901,x90904)),x90904)))+P107(f334(x90901,f334(f334(f23(a1),x90902),f334(f334(f90(a1),x90903),x90904))))
% 164.85/165.09 [9091]~P107(f334(x90911,x90912))+~P107(f334(f334(f248(a1),f2(a1)),x90913))+~P107(f334(f334(f249(a1),f2(a1)),x90914))+~P107(f334(x90911,f334(f334(f89(a1),f595(x90913,x90911,x90914)),x90914)))+P107(f334(x90911,f334(f334(f89(a1),x90912),f334(f334(f90(a1),x90913),x90914))))
% 164.85/165.09 [9249]~P107(f334(f334(f249(a1),f2(a1)),x92493))+~P107(f334(f334(f336(a1),x92492),x92491))+~P107(f334(f334(f249(a1),x92494),x92492))+P107(f334(f334(f336(a1),f573(x92491,x92492,x92493,x92494)),x92491))+P107(f334(f334(f249(a1),f334(f334(f89(a1),x92494),x92493)),x92492))
% 164.85/165.09 [9269]E(f334(f334(f23(a1),f563(x92691,x92692,x92693,x92694)),f564(x92691,x92692,x92693,x92694)),x92694)+~P107(f334(f334(f249(a1),f2(a1)),x92693))+~P107(f334(f334(f248(a1),x92694),x92692))+~P107(f334(f334(f336(a1),f334(f334(f89(a1),x92692),f87(a1))),x92691))+P107(f334(f334(f248(a1),f334(f334(f89(a1),x92694),x92693)),x92692))
% 164.85/165.09 [9299]~P107(f334(f334(f249(a1),f2(a1)),x92992))+~P107(f334(f334(f336(a1),x92993),x92994))+~P107(f334(f334(f249(a1),x92991),x92993))+P107(f334(f334(f336(a1),f574(x92994,x92993,x92992,x92991)),f310(a1,f87(a1),x92992)))+P107(f334(f334(f249(a1),f334(f334(f89(a1),x92991),x92992)),x92993))
% 164.85/165.09 [9384]~P107(f334(f334(f249(a1),f2(a1)),x93843))+~P107(f334(f334(f248(a1),x93844),x93842))+P107(f334(f334(f336(a1),f563(x93841,x93842,x93843,x93844)),x93841))+~P107(f334(f334(f336(a1),f334(f334(f89(a1),x93842),f87(a1))),x93841))+P107(f334(f334(f248(a1),f334(f334(f89(a1),x93844),x93843)),x93842))
% 164.85/165.09 [9431]~P107(f334(f334(f249(a1),f2(a1)),x94312))+~P107(f334(f334(f248(a1),x94311),x94313))+P107(f334(f334(f336(a1),f564(x94314,x94313,x94312,x94311)),f310(a1,f87(a1),x94312)))+~P107(f334(f334(f336(a1),f334(f334(f89(a1),x94313),f87(a1))),x94314))+P107(f334(f334(f248(a1),f334(f334(f89(a1),x94311),x94312)),x94313))
% 164.85/165.09 [9740]~P38(x97401,x97403)+~P25(x97401,x97404)+P38(x97401,f334(f334(f123(f926(f925(x97401,x97401),a913)),x97402),x97403))+~P107(f334(f334(f248(f926(f925(x97401,x97401),a913)),x97402),f334(f265(f926(f925(x97401,x97401),a913),f926(f925(x97401,x97401),a913)),x97404)))+~P107(f334(f334(f248(f926(f925(x97401,x97401),a913)),x97403),f334(f269(f926(f925(x97401,x97401),a913),f926(f925(x97401,x97401),a913)),x97404)))
% 164.85/165.09 [10131]~P16(x101312,x101314,x101313)+E(x101311,f198(f926(x101312,a913)))+~P107(f334(f70(x101312),x101311))+P107(f334(f334(f336(x101312),f334(x101313,x101311)),x101311))+~P107(f334(f334(f336(x101312),f334(f334(x101314,f392(x101311,x101313,x101314,x101312)),f394(x101311,x101313,x101314,x101312))),f334(f334(f316(x101312),f392(x101311,x101313,x101314,x101312)),f334(f334(f316(x101312),f394(x101311,x101313,x101314,x101312)),f198(f926(x101312,a913))))))
% 164.85/165.09 [10062]~P111(x100622)+~P2(x100621)+~P107(f334(f334(f248(f926(x100621,x100622)),x100623),x100624))+P107(f334(f334(f249(f926(x100621,x100622)),x100623),x100624))+~P107(f334(f65(x100621),f334(f334(f8(a913,a913,x100621),a329),f334(f334(f18(x100621,x100622,a913),f334(f334(f8(x100622,f926(x100622,a913),x100621),a331),x100623)),x100624))))
% 164.85/165.09 [9644]~P54(x96441,x96441,x96444)+P107(f334(f334(f336(f925(x96441,x96441)),f334(f334(f266(x96441,x96441),x96442),x96443)),f314(x96441,x96444)))+P107(f334(f334(f336(f925(x96441,x96441)),f334(f334(f266(x96441,x96441),x96443),x96442)),f314(x96441,x96444)))+~P107(f334(f334(f336(f925(x96441,x96441)),f334(f334(f266(x96441,x96441),x96445),x96442)),f314(x96441,x96444)))+~P107(f334(f334(f336(f925(x96441,x96441)),f334(f334(f266(x96441,x96441),x96445),x96443)),f314(x96441,x96444)))
% 164.85/165.09 [5768]E(x57681,f2(a919))+~E(f334(f44(x57682),x57685),x57681)+E(f334(f44(x57682),x57683),f334(a125,x57681))+~E(x57683,f334(f334(f316(x57682),x57684),x57685))+P107(f334(f334(f336(x57682),x57684),x57685))
% 164.85/165.09 [5892]~P66(x58922)+E(x58921,f2(x58922))+E(x58923,f2(x58922))+~E(f334(f334(f297(x58922),x58924),x58923),f334(f334(f297(x58922),x58925),x58921))+E(f334(f334(f90(x58922),x58924),x58921),f334(f334(f90(x58922),x58925),x58923))
% 164.85/165.09 [5893]~P66(x58932)+E(x58931,f2(x58932))+E(x58933,f2(x58932))+~E(f334(f334(f90(x58932),x58934),x58933),f334(f334(f90(x58932),x58935),x58931))+E(f334(f334(f297(x58932),x58934),x58931),f334(f334(f297(x58932),x58935),x58933))
% 164.85/165.09 [5960]~E(f334(f44(x59601),x59605),x59603)+~E(x59605,f198(f926(x59601,a913)))+E(f334(f44(x59601),x59602),f334(a125,x59603))+~E(x59602,f334(f334(f316(x59601),x59604),x59605))+P107(f334(f334(f336(x59601),x59604),x59605))
% 164.85/165.09 [6191]~P119(x61912)+~E(f334(x61913,x61915),f2(x61912))+E(f334(f334(f9(x61911,x61912),x61913),x61914),f2(x61912))+~P107(f334(f70(x61911),x61914))+~P107(f334(f334(f336(x61911),x61915),x61914))
% 164.85/165.09 [6561]~P110(x65613)+E(x65611,x65612)+~E(f334(f309(x65613,x65614),x65611),f334(f309(x65613,x65615),x65612))+~P107(f334(f334(f249(x65613),x65615),x65612))+~P107(f334(f334(f249(x65613),x65614),x65611))
% 164.85/165.09 [6562]~P110(x65623)+E(x65621,x65622)+~E(f334(f309(x65623,x65621),x65624),f334(f309(x65623,x65622),x65625))+~P107(f334(f334(f249(x65623),x65622),x65625))+~P107(f334(f334(f249(x65623),x65621),x65624))
% 164.85/165.09 [7617]~P110(x76171)+~P12(x76171,f334(f334(f144(x76171),x76174),x76175))+~P107(f334(f334(f336(x76171),x76173),f334(f182(x76171),x76175)))+~P107(f334(f334(f336(x76171),x76172),f334(f182(x76171),x76174)))+P107(f334(f334(f248(x76171),x76172),x76173))
% 164.85/165.09 [8723]~P111(x87231)+~P107(f334(f334(f249(f926(x87231,a913)),f310(x87231,x87235,x87232)),f310(x87231,x87234,x87233)))+~P107(f334(f334(f248(x87231),x87235),x87232))+P107(f334(f334(f249(x87231),x87232),x87233))+P107(f334(f334(f249(x87231),x87234),x87235))
% 164.85/165.09 [10174]~P15(x101742,x101745,x101743)+E(x101741,f198(f926(x101742,a913)))+~E(f334(f334(x101745,f334(x101744,f620(x101741,x101744,x101743,x101745,x101742))),f334(x101744,f621(x101741,x101744,x101743,x101745,x101742))),f334(x101744,f334(f334(x101745,f620(x101741,x101744,x101743,x101745,x101742)),f621(x101741,x101744,x101743,x101745,x101742))))+E(f334(x101743,f334(f317(x101742,x101742,x101744),x101741)),f334(x101744,f334(x101743,x101741)))+~P107(f334(f70(x101742),x101741))
% 164.85/165.09 [6558]~P16(x65582,x65585,x65583)+E(x65581,f198(f926(x65582,a913)))+~P107(f334(f70(x65582),x65581))+E(f334(x65583,f334(f334(f316(x65582),x65584),x65581)),f334(f334(x65585,x65584),f334(x65583,x65581)))+P107(f334(f334(f336(x65582),x65584),x65581))
% 164.85/165.09 [7379]~P15(x73792,x73793,x73794)+E(f334(f334(x73793,f334(x73794,x73791)),f334(x73794,x73795)),f334(x73794,x73795))+E(x73791,f198(f926(x73792,a913)))+~P107(f334(f70(x73792),x73795))+~P107(f334(f334(f248(f926(x73792,a913)),x73791),x73795))
% 164.85/165.09 [7749]~P16(x77494,x77495,x77491)+E(f334(x77491,x77492),x77493)+~P107(f334(f70(x77494),x77492))+~E(f334(f334(f23(f926(x77494,a913)),x77492),f334(f334(f316(x77494),x77493),f198(f926(x77494,a913)))),f198(f926(x77494,a913)))+~P107(f334(f334(f336(x77494),x77493),x77492))
% 164.85/165.09 [8692]E(x86921,x86922)+~P6(x86923,x86924,x86925)+E(f334(f334(f114(f926(x86923,a913)),x86921),x86922),f198(f926(x86923,a913)))+~P107(f334(f334(f336(f926(x86923,a913)),x86922),f334(f334(f69(x86923),x86924),x86925)))+~P107(f334(f334(f336(f926(x86923,a913)),x86921),f334(f334(f69(x86923),x86924),x86925)))
% 164.85/165.09 [9519]~P72(x95192)+~E(f334(x95193,f606(x95193,x95194,x95195,x95191,x95192)),f2(x95192))+E(f334(f334(f6(x95191,x95192),x95193),x95194),f334(f334(f6(x95191,x95192),x95193),x95195))+~P107(f334(f70(x95191),x95195))+~P107(f334(f334(f248(f926(x95191,a913)),x95194),x95195))
% 164.85/165.09 [9520]~P72(x95202)+~E(f334(x95203,f607(x95203,x95204,x95205,x95201,x95202)),f2(x95202))+E(f334(f334(f6(x95201,x95202),x95203),x95204),f334(f334(f6(x95201,x95202),x95203),x95205))+~P107(f334(f70(x95201),x95205))+~P107(f334(f334(f248(f926(x95201,a913)),x95204),x95205))
% 164.85/165.09 [9521]~P76(x95212)+~E(f334(x95213,f599(x95213,x95214,x95215,x95211,x95212)),f87(x95212))+E(f334(f334(f9(x95211,x95212),x95213),x95214),f334(f334(f9(x95211,x95212),x95213),x95215))+~P107(f334(f70(x95211),x95215))+~P107(f334(f334(f248(f926(x95211,a913)),x95214),x95215))
% 164.85/165.09 [9522]~P76(x95222)+~E(f334(x95223,f601(x95223,x95224,x95225,x95221,x95222)),f87(x95222))+E(f334(f334(f9(x95221,x95222),x95223),x95224),f334(f334(f9(x95221,x95222),x95223),x95225))+~P107(f334(f70(x95221),x95225))+~P107(f334(f334(f248(f926(x95221,a913)),x95224),x95225))
% 164.85/165.09 [10010]~P92(x100101)+~P107(f334(f70(x100102),x100105))+~P107(f334(f334(f248(x100101),f2(x100101)),f334(x100103,f472(x100103,x100104,x100105,x100102,x100101))))+P107(f334(f334(f248(x100101),f334(f334(f6(x100102,x100101),x100103),x100104)),f334(f334(f6(x100102,x100101),x100103),x100105)))+~P107(f334(f334(f248(f926(x100102,a913)),x100104),x100105))
% 164.85/165.09 [7614]E(x76141,f2(a919))+P107(f334(x76142,x76143))+~E(x76144,f334(f334(f89(a919),f334(f334(f90(a919),x76141),x76143)),x76145))+~P107(f334(f334(f249(a919),x76145),x76141))+~P107(f334(x76142,f334(f334(f45(a919),x76144),x76141)))
% 164.85/165.09 [7689]E(x76891,f2(a919))+P107(f334(x76892,x76893))+~P107(f334(x76892,f54(a919,x76894,x76891)))+~E(x76894,f334(f334(f89(a919),f334(f334(f90(a919),x76891),x76895)),x76893))+~P107(f334(f334(f249(a919),x76893),x76891))
% 164.85/165.09 [7982]~P66(x79823)+E(f334(x79821,x79822),f2(x79823))+~P107(f334(f70(x79824),x79825))+E(f334(f334(f9(x79824,x79823),x79821),f334(f334(f23(f926(x79824,a913)),x79825),f334(f334(f316(x79824),x79822),f198(f926(x79824,a913))))),f334(f334(f9(x79824,x79823),x79821),x79825))+P107(f334(f334(f336(x79824),x79822),x79825))
% 164.85/165.09 [8382]~P72(x83821)+~P107(f334(f70(x83822),x83825))+~P107(f334(f70(x83822),x83824))+~E(f334(f334(f114(f926(x83822,a913)),x83824),x83825),f198(f926(x83822,a913)))+E(f334(f334(f89(x83821),f334(f334(f6(x83822,x83821),x83823),x83824)),f334(f334(f6(x83822,x83821),x83823),x83825)),f334(f334(f6(x83822,x83821),x83823),f334(f334(f123(f926(x83822,a913)),x83824),x83825)))
% 164.85/165.09 [8384]~P76(x83841)+~P107(f334(f70(x83842),x83845))+~P107(f334(f70(x83842),x83844))+~E(f334(f334(f114(f926(x83842,a913)),x83844),x83845),f198(f926(x83842,a913)))+E(f334(f334(f90(x83841),f334(f334(f9(x83842,x83841),x83843),x83844)),f334(f334(f9(x83842,x83841),x83843),x83845)),f334(f334(f9(x83842,x83841),x83843),f334(f334(f123(f926(x83842,a913)),x83844),x83845)))
% 164.85/165.09 [8481]~P66(x84813)+E(f334(x84811,x84812),f2(x84813))+~P107(f334(f70(x84814),x84815))+E(f334(f334(f9(x84814,x84813),x84811),f334(f334(f23(f926(x84814,a913)),x84815),f334(f334(f316(x84814),x84812),f198(f926(x84814,a913))))),f334(f334(f297(x84813),f334(f334(f9(x84814,x84813),x84811),x84815)),f334(x84811,x84812)))+~P107(f334(f334(f336(x84814),x84812),x84815))
% 164.85/165.09 [9226]~P6(x92261,x92265,x92264)+~E(f334(f334(f69(x92261),f334(f334(f316(x92261),x92262),f198(f926(x92261,a913)))),x92264),f334(f334(f69(x92261),f334(f334(f316(x92261),x92263),f198(f926(x92261,a913)))),x92264))+~P107(f334(f334(f336(x92261),x92263),x92265))+~P107(f334(f334(f336(x92261),x92262),x92265))+P107(f334(f334(f336(f925(x92261,x92261)),f334(f334(f266(x92261,x92261),x92262),x92263)),x92264))
% 164.85/165.09 [9248]~P6(x92481,x92485,x92483)+E(f334(f334(f69(x92481),f334(f334(f316(x92481),x92482),f198(f926(x92481,a913)))),x92483),f334(f334(f69(x92481),f334(f334(f316(x92481),x92484),f198(f926(x92481,a913)))),x92483))+~P107(f334(f334(f336(x92481),x92484),x92485))+~P107(f334(f334(f336(x92481),x92482),x92485))+~P107(f334(f334(f336(f925(x92481,x92481)),f334(f334(f266(x92481,x92481),x92482),x92484)),x92483))
% 164.85/165.09 [9548]~P76(x95481)+~P107(f334(f70(x95482),x95485))+~P107(f334(f70(x95482),x95484))+~E(f334(f334(f114(f926(x95482,a913)),x95484),x95485),f198(f926(x95482,a913)))+E(f334(f334(f90(x95481),f334(f334(f334(f74(x95481,x95482,f90(x95481)),x95483),f87(x95481)),x95484)),f334(f334(f334(f74(x95481,x95482,f90(x95481)),x95483),f87(x95481)),x95485)),f334(f334(f334(f74(x95481,x95482,f90(x95481)),x95483),f87(x95481)),f334(f334(f123(f926(x95482,a913)),x95484),x95485)))
% 164.85/165.09 [9557]~P72(x95571)+~E(f334(x95573,f475(x95573,x95575,x95574,x95572,x95571)),f2(x95571))+~P107(f334(f70(x95572),x95574))+~P107(f334(f70(x95572),x95575))+E(f334(f334(f89(x95571),f334(f334(f6(x95572,x95571),x95573),x95574)),f334(f334(f6(x95572,x95571),x95573),x95575)),f334(f334(f6(x95572,x95571),x95573),f334(f334(f123(f926(x95572,a913)),x95574),x95575)))
% 164.85/165.09 [9558]~P72(x95581)+~E(f334(x95583,f476(x95583,x95585,x95584,x95582,x95581)),f2(x95581))+~P107(f334(f70(x95582),x95584))+~P107(f334(f70(x95582),x95585))+E(f334(f334(f89(x95581),f334(f334(f6(x95582,x95581),x95583),x95584)),f334(f334(f6(x95582,x95581),x95583),x95585)),f334(f334(f6(x95582,x95581),x95583),f334(f334(f123(f926(x95582,a913)),x95584),x95585)))
% 164.85/165.09 [9559]~P76(x95591)+~E(f334(x95593,f545(x95593,x95595,x95594,x95592,x95591)),f87(x95591))+~P107(f334(f70(x95592),x95594))+~P107(f334(f70(x95592),x95595))+E(f334(f334(f90(x95591),f334(f334(f9(x95592,x95591),x95593),x95594)),f334(f334(f9(x95592,x95591),x95593),x95595)),f334(f334(f9(x95592,x95591),x95593),f334(f334(f123(f926(x95592,a913)),x95594),x95595)))
% 164.85/165.09 [9560]~P76(x95601)+~E(f334(x95603,f546(x95603,x95605,x95604,x95602,x95601)),f87(x95601))+~P107(f334(f70(x95602),x95604))+~P107(f334(f70(x95602),x95605))+E(f334(f334(f90(x95601),f334(f334(f9(x95602,x95601),x95603),x95604)),f334(f334(f9(x95602,x95601),x95603),x95605)),f334(f334(f9(x95602,x95601),x95603),f334(f334(f123(f926(x95602,a913)),x95604),x95605)))
% 164.85/165.09 [9785]~P76(x97851)+~E(f334(x97853,f445(x97853,x97855,x97854,x97852,x97851)),f87(x97851))+~P107(f334(f70(x97852),x97854))+~P107(f334(f70(x97852),x97855))+E(f334(f334(f90(x97851),f334(f334(f334(f74(x97851,x97852,f90(x97851)),x97853),f87(x97851)),x97854)),f334(f334(f334(f74(x97851,x97852,f90(x97851)),x97853),f87(x97851)),x97855)),f334(f334(f334(f74(x97851,x97852,f90(x97851)),x97853),f87(x97851)),f334(f334(f123(f926(x97852,a913)),x97854),x97855)))
% 164.85/165.09 [9893]~P72(x98932)+E(f334(f334(f6(x98931,x98932),x98933),x98934),f334(f334(f6(x98931,x98932),x98933),x98935))+~P107(f334(f70(x98931),x98935))+~P107(f334(f334(f248(f926(x98931,a913)),x98934),x98935))+P107(f334(f334(f336(x98931),f606(x98933,x98934,x98935,x98931,x98932)),f334(f334(f23(f926(x98931,a913)),x98935),x98934)))
% 164.85/165.09 [9894]~P72(x98942)+E(f334(f334(f6(x98941,x98942),x98943),x98944),f334(f334(f6(x98941,x98942),x98943),x98945))+~P107(f334(f70(x98941),x98945))+~P107(f334(f334(f248(f926(x98941,a913)),x98944),x98945))+P107(f334(f334(f336(x98941),f607(x98943,x98944,x98945,x98941,x98942)),f334(f334(f23(f926(x98941,a913)),x98945),x98944)))
% 164.85/165.09 [9895]~P76(x98952)+E(f334(f334(f9(x98951,x98952),x98953),x98954),f334(f334(f9(x98951,x98952),x98953),x98955))+~P107(f334(f70(x98951),x98955))+~P107(f334(f334(f248(f926(x98951,a913)),x98954),x98955))+P107(f334(f334(f336(x98951),f599(x98953,x98954,x98955,x98951,x98952)),f334(f334(f23(f926(x98951,a913)),x98955),x98954)))
% 164.85/165.09 [9896]~P76(x98962)+E(f334(f334(f9(x98961,x98962),x98963),x98964),f334(f334(f9(x98961,x98962),x98963),x98965))+~P107(f334(f70(x98961),x98965))+~P107(f334(f334(f248(f926(x98961,a913)),x98964),x98965))+P107(f334(f334(f336(x98961),f601(x98963,x98964,x98965,x98961,x98962)),f334(f334(f23(f926(x98961,a913)),x98965),x98964)))
% 164.85/165.09 [9915]~P72(x99151)+~P107(f334(f70(x99152),x99154))+~P107(f334(f70(x99152),x99155))+E(f334(f334(f89(x99151),f334(f334(f6(x99152,x99151),x99153),x99154)),f334(f334(f6(x99152,x99151),x99153),x99155)),f334(f334(f6(x99152,x99151),x99153),f334(f334(f123(f926(x99152,a913)),x99154),x99155)))+P107(f334(f334(f336(x99152),f475(x99153,x99155,x99154,x99152,x99151)),f334(f334(f114(f926(x99152,a913)),x99154),x99155)))
% 164.85/165.09 [9916]~P72(x99161)+~P107(f334(f70(x99162),x99164))+~P107(f334(f70(x99162),x99165))+E(f334(f334(f89(x99161),f334(f334(f6(x99162,x99161),x99163),x99164)),f334(f334(f6(x99162,x99161),x99163),x99165)),f334(f334(f6(x99162,x99161),x99163),f334(f334(f123(f926(x99162,a913)),x99164),x99165)))+P107(f334(f334(f336(x99162),f476(x99163,x99165,x99164,x99162,x99161)),f334(f334(f114(f926(x99162,a913)),x99164),x99165)))
% 164.85/165.09 [9917]~P76(x99171)+~P107(f334(f70(x99172),x99174))+~P107(f334(f70(x99172),x99175))+E(f334(f334(f90(x99171),f334(f334(f9(x99172,x99171),x99173),x99174)),f334(f334(f9(x99172,x99171),x99173),x99175)),f334(f334(f9(x99172,x99171),x99173),f334(f334(f123(f926(x99172,a913)),x99174),x99175)))+P107(f334(f334(f336(x99172),f545(x99173,x99175,x99174,x99172,x99171)),f334(f334(f114(f926(x99172,a913)),x99174),x99175)))
% 164.85/165.09 [9918]~P76(x99181)+~P107(f334(f70(x99182),x99184))+~P107(f334(f70(x99182),x99185))+E(f334(f334(f90(x99181),f334(f334(f9(x99182,x99181),x99183),x99184)),f334(f334(f9(x99182,x99181),x99183),x99185)),f334(f334(f9(x99182,x99181),x99183),f334(f334(f123(f926(x99182,a913)),x99184),x99185)))+P107(f334(f334(f336(x99182),f546(x99183,x99185,x99184,x99182,x99181)),f334(f334(f114(f926(x99182,a913)),x99184),x99185)))
% 164.85/165.09 [9924]~P92(x99245)+~P107(f334(f70(x99241),x99244))+P107(f334(f334(f248(x99245),f334(f334(f6(x99241,x99245),x99242),x99243)),f334(f334(f6(x99241,x99245),x99242),x99244)))+~P107(f334(f334(f248(f926(x99241,a913)),x99243),x99244))+P107(f334(f334(f336(x99241),f472(x99242,x99243,x99244,x99241,x99245)),f334(f334(f23(f926(x99241,a913)),x99244),x99243)))
% 164.85/165.09 [9973]~P76(x99731)+~P107(f334(f70(x99732),x99734))+~P107(f334(f70(x99732),x99735))+E(f334(f334(f90(x99731),f334(f334(f334(f74(x99731,x99732,f90(x99731)),x99733),f87(x99731)),x99734)),f334(f334(f334(f74(x99731,x99732,f90(x99731)),x99733),f87(x99731)),x99735)),f334(f334(f334(f74(x99731,x99732,f90(x99731)),x99733),f87(x99731)),f334(f334(f123(f926(x99732,a913)),x99734),x99735)))+P107(f334(f334(f336(x99732),f445(x99733,x99735,x99734,x99732,x99731)),f334(f334(f114(f926(x99732,a913)),x99734),x99735)))
% 164.85/165.09 [8902]~P16(x89021,x89024,x89025)+~P107(f334(f70(x89021),x89022))+E(f334(f334(f23(f926(x89021,a913)),x89022),f334(f334(f316(x89021),x89023),f198(f926(x89021,a913)))),f198(f926(x89021,a913)))+~P107(f334(f334(f336(x89021),x89023),x89022))+E(f334(f334(x89024,x89023),f334(x89025,f334(f334(f23(f926(x89021,a913)),x89022),f334(f334(f316(x89021),x89023),f198(f926(x89021,a913)))))),f334(x89025,x89022))
% 164.85/165.09 [8979]~P16(x89791,x89794,x89795)+~P107(f334(f70(x89791),x89793))+~P107(f334(f70(x89791),x89792))+E(f334(f334(f114(f926(x89791,a913)),x89792),x89793),f198(f926(x89791,a913)))+E(f334(f334(x89794,f334(x89795,f334(f334(f123(f926(x89791,a913)),x89792),x89793))),f334(x89795,f334(f334(f114(f926(x89791,a913)),x89792),x89793))),f334(f334(x89794,f334(x89795,x89792)),f334(x89795,x89793)))
% 164.85/165.09 [9562]~P107(f334(f334(f248(a1),x95624),f2(a1)))+~P107(f334(f334(f249(a1),x95623),x95625))+P107(f334(f334(f248(a1),x95621),x95622))+~P107(f334(f334(f249(a1),x95623),x95624))+~P107(f334(f334(f248(a1),f334(f334(f89(a1),f334(f334(f90(a1),x95623),x95622)),x95625)),f334(f334(f89(a1),f334(f334(f90(a1),x95623),x95621)),x95624)))
% 164.85/165.09 [9564]~P107(f334(f334(f248(a1),f2(a1)),x95645))+P107(f334(f334(f248(a1),x95641),x95642))+~P107(f334(f334(f249(a1),x95643),x95644))+~P107(f334(f334(f249(a1),x95645),x95644))+~P107(f334(f334(f248(a1),f334(f334(f89(a1),f334(f334(f90(a1),x95644),x95641)),x95645)),f334(f334(f89(a1),f334(f334(f90(a1),x95644),x95642)),x95643)))
% 164.85/165.09 [9684]~P66(x96845)+E(f334(x96841,f548(x96841,x96842,x96843,x96844,x96845)),f2(x96845))+~P107(f334(f70(x96844),x96843))+~P107(f334(f70(x96844),x96842))+E(f334(f334(f297(x96845),f334(f334(f90(x96845),f334(f334(f9(x96844,x96845),x96841),x96843)),f334(f334(f9(x96844,x96845),x96841),x96842))),f334(f334(f9(x96844,x96845),x96841),f334(f334(f114(f926(x96844,a913)),x96843),x96842))),f334(f334(f9(x96844,x96845),x96841),f334(f334(f123(f926(x96844,a913)),x96843),x96842)))
% 164.85/165.09 [9965]~P66(x99651)+~P107(f334(f70(x99652),x99654))+~P107(f334(f70(x99652),x99655))+E(f334(f334(f297(x99651),f334(f334(f90(x99651),f334(f334(f9(x99652,x99651),x99653),x99654)),f334(f334(f9(x99652,x99651),x99653),x99655))),f334(f334(f9(x99652,x99651),x99653),f334(f334(f114(f926(x99652,a913)),x99654),x99655))),f334(f334(f9(x99652,x99651),x99653),f334(f334(f123(f926(x99652,a913)),x99654),x99655)))+P107(f334(f334(f336(x99652),f548(x99653,x99655,x99654,x99652,x99651)),f334(f334(f114(f926(x99652,a913)),x99654),x99655)))
% 164.85/165.09 [9268]E(f334(f334(f144(x92681),x92682),x92683),f334(f334(f144(x92681),x92684),x92685))+~E(f334(f334(f185(x92681),f334(f199(f920(x92681)),x92684)),x92682),x92684)+~E(f334(f334(f185(x92681),f334(f199(f920(x92681)),x92682)),x92684),x92682)+~E(x92685,f334(f334(f144(x92681),f334(f334(f148(x92681),f334(f199(f920(x92681)),x92684)),x92682)),x92683))+~E(f334(f334(f144(x92681),f334(f334(f148(x92681),f334(f199(f920(x92681)),x92682)),x92684)),x92685),x92683)
% 164.85/165.09 [9682]~P110(x96822)+E(f334(f334(f158(x96821,x96822,x96823),x96824),f180(x96821,x96824,x96825)),x96825)+~P12(x96822,f334(f334(f164(x96821,x96822),x96823),x96825))+~P107(f334(f334(f336(x96821),x96824),f334(f182(x96821),x96825)))+~E(f334(f151(x96821),f334(f146(x96821,f334(f334(f8(x96822,a913,x96821),f334(a331,f334(x96823,x96824))),x96823)),x96825)),x96824)
% 164.85/165.09 [10028]~P69(x100281)+~P107(f334(f75(x100281,x100281,f90(x100281),x100282,x100283),x100285))+~P107(f334(f334(f336(x100281),x100284),x100283))+P107(f334(f334(f336(x100281),x100282),x100283))+P107(f334(f75(x100281,x100281,f90(x100281),x100284,f334(f334(f316(x100281),x100282),f334(f334(f23(f926(x100281,a913)),x100283),f334(f334(f316(x100281),x100284),f198(f926(x100281,a913)))))),x100285))
% 164.85/165.09 [7387]E(x73871,x73872)+~P23(x73874,x73875,x73873,x73876)+~E(f334(x73873,x73871),f334(x73873,x73872))+~P107(f334(f334(f336(x73874),x73872),x73876))+~P107(f334(f334(f336(x73874),x73871),x73876))
% 164.85/165.09 [6651]~P144(x66514)+E(x66511,x66512)+~E(x66515,x66516)+E(x66513,f2(x66514))+~E(f334(f334(f89(x66514),x66515),f334(f334(f90(x66514),x66513),x66511)),f334(f334(f89(x66514),x66516),f334(f334(f90(x66514),x66513),x66512)))
% 164.85/165.09 [7669]~P110(x76691)+~P3(x76691)+~P107(f334(f334(f249(x76691),x76692),f334(x76695,x76696)))+~P107(f334(f334(f336(x76693),x76696),x76694))+P107(f334(f334(f249(x76691),x76692),f334(f334(f48(x76693,x76691),x76694),x76695)))
% 164.85/165.09 [10024]~P23(x100242,x100241,x100243,x100244)+~P23(x100241,x100242,x100246,x100245)+P24(x100241,x100242,f359(x100243,x100244,x100245,x100246,x100242,x100241),x100245,x100244)+~P107(f334(f334(f248(f926(x100242,a913)),f334(f317(x100241,x100242,x100246),x100245)),x100244))+~P107(f334(f334(f248(f926(x100241,a913)),f334(f317(x100242,x100241,x100243),x100244)),x100245))
% 164.85/165.09 [8353]~P110(x83531)+~P3(x83531)+~P107(f334(f334(f249(x83531),f334(x83534,x83536)),x83535))+~P107(f334(f334(f336(x83532),x83536),x83533))+P107(f334(f334(f249(x83531),f334(f334(f49(x83532,x83531),x83533),x83534)),x83535))
% 164.85/165.09 [8616]~P17(x86162,x86165,x86166,x86161)+~P107(f334(f70(x86162),x86164))+~P107(f334(f70(x86162),x86163))+~E(f334(f334(f114(f926(x86162,a913)),x86163),x86164),f198(f926(x86162,a913)))+E(f334(x86161,f334(f334(f123(f926(x86162,a913)),x86163),x86164)),f334(f81(x86165,x86165,x86165,f334(x86161,x86163)),f334(x86161,x86164)))
% 164.85/165.09 [8949]E(x89491,x89492)+~P56(x89494,x89495,x89496,x89493,x89497)+~E(f334(x89493,x89491),f334(x89493,x89492))+~P107(f334(f334(f336(x89495),x89492),x89497))+~P107(f334(f334(f336(x89495),x89491),x89497))
% 164.85/165.09 [10273]~P107(f334(x102732,x102734))+~E(x102735,f334(f146(x102731,x102732),x102737))+E(f334(f146(x102731,x102732),x102733),f334(f334(f161(x102731),x102734),x102735))+~E(x102733,f334(f334(f144(x102731),x102736),f334(f334(f161(x102731),x102734),x102737)))+P107(f334(x102732,f808(x102735,x102734,x102733,x102732,x102731,x102736,x102737)))
% 164.85/165.09 [10274]~P107(f334(x102744,x102742))+~E(x102743,f334(f146(x102741,x102744),x102747))+E(f334(f334(f161(x102741),x102742),x102743),f334(f146(x102741,x102744),x102745))+~E(x102745,f334(f334(f144(x102741),x102746),f334(f334(f161(x102741),x102742),x102747)))+P107(f334(x102744,f809(x102745,x102744,x102743,x102742,x102741,x102746,x102747)))
% 164.85/165.09 [10312]~P107(f334(x103122,x103124))+~E(x103125,f334(f146(x103121,x103122),x103127))+E(f334(f146(x103121,x103122),x103123),f334(f334(f161(x103121),x103124),x103125))+~E(x103123,f334(f334(f144(x103121),x103126),f334(f334(f161(x103121),x103124),x103127)))+P107(f334(f334(f336(x103121),f808(x103125,x103124,x103123,x103122,x103121,x103126,x103127)),f334(f182(x103121),x103126)))
% 164.85/165.09 [10313]~P107(f334(x103134,x103132))+~E(x103133,f334(f146(x103131,x103134),x103137))+E(f334(f334(f161(x103131),x103132),x103133),f334(f146(x103131,x103134),x103135))+~E(x103135,f334(f334(f144(x103131),x103136),f334(f334(f161(x103131),x103132),x103137)))+P107(f334(f334(f336(x103131),f809(x103135,x103134,x103133,x103132,x103131,x103136,x103137)),f334(f182(x103131),x103136)))
% 164.85/165.09 [10316]~P6(x103161,x103167,x103166)+~P10(x103161,f926(x103165,a913),x103166,x103164)+P107(f334(f334(f336(x103161),f345(x103162,x103163,x103164,x103165,x103166,x103167,x103161)),x103167))+~P107(f334(f334(f336(f926(x103161,a913)),x103163),f334(f334(f69(x103161),x103167),x103166)))+P107(f334(f334(f336(f926(x103165,a913)),f334(f334(f48(x103161,f926(x103165,a913)),x103163),x103164)),x103162))
% 164.85/165.09 [10375]~P6(x103752,x103756,x103757)+~P10(x103752,f926(x103751,a913),x103757,x103754)+~P107(f334(f334(f336(f926(x103752,a913)),x103753),f334(f334(f69(x103752),x103756),x103757)))+~P107(f334(f334(f336(f926(x103751,a913)),f334(x103754,f345(x103755,x103753,x103754,x103751,x103757,x103756,x103752))),x103755))+P107(f334(f334(f336(f926(x103751,a913)),f334(f334(f48(x103752,f926(x103751,a913)),x103753),x103754)),x103755))
% 164.85/165.09 [8524]~P76(x85242)+~P23(x85241,x85245,x85248,x85244)+~E(x85243,f334(f81(x85245,x85242,x85241,x85246),x85248))+~E(x85247,f334(f317(x85241,x85245,x85248),x85244))+E(f334(f334(f9(x85241,x85242),x85243),x85244),f334(f334(f9(x85245,x85242),x85246),x85247))
% 164.85/165.09 [10379]~P76(x103792)+~P23(x103795,x103791,x103798,x103797)+~E(f334(x103796,f600(x103793,x103796,x103794,x103797,x103798,x103791,x103795,x103792)),f334(f334(f81(x103791,x103792,x103795,x103793),x103798),f600(x103793,x103796,x103794,x103797,x103798,x103791,x103795,x103792)))+~E(x103794,f334(f317(x103795,x103791,x103798),x103797))+E(f334(f334(f9(x103791,x103792),x103793),x103794),f334(f334(f9(x103795,x103792),x103796),x103797))
% 164.85/165.09 [10383]~P72(x103832)+~P23(x103831,x103835,x103838,x103834)+~E(x103837,f334(f317(x103831,x103835,x103838),x103834))+E(f334(f334(f6(x103831,x103832),x103833),x103834),f334(f334(f6(x103835,x103832),x103836),x103837))+P107(f334(f334(f336(x103831),f681(x103836,x103833,x103837,x103834,x103838,x103835,x103831,x103832)),x103834))
% 164.85/165.09 [10384]~P76(x103842)+~P23(x103841,x103845,x103848,x103844)+~E(x103847,f334(f317(x103841,x103845,x103848),x103844))+E(f334(f334(f9(x103841,x103842),x103843),x103844),f334(f334(f9(x103845,x103842),x103846),x103847))+P107(f334(f334(f336(x103841),f600(x103846,x103843,x103847,x103844,x103848,x103845,x103841,x103842)),x103844))
% 164.85/165.09 [10390]~P72(x103902)+~P23(x103905,x103901,x103908,x103907)+~E(x103904,f334(f317(x103905,x103901,x103908),x103907))+~E(f334(x103906,f681(x103903,x103906,x103904,x103907,x103908,x103901,x103905,x103902)),f334(x103903,f334(x103908,f681(x103903,x103906,x103904,x103907,x103908,x103901,x103905,x103902))))+E(f334(f334(f6(x103901,x103902),x103903),x103904),f334(f334(f6(x103905,x103902),x103906),x103907))
% 164.85/165.09 [9858]~P21(x98586,x98582,x98585,x98587,x98588,x98581)+~P107(f334(f70(x98582),x98584))+~P107(f334(f70(x98582),x98583))+~E(f334(f334(f114(f926(x98582,a913)),x98583),x98584),f198(f926(x98582,a913)))+E(f334(x98581,f334(f334(f123(f926(x98582,a913)),x98583),x98584)),f334(f334(x98585,f334(x98581,x98583)),f334(x98581,x98584)))
% 164.85/165.09 [10259]~P21(x102598,x102592,x102595,x102597,x102596,x102591)+~E(f334(x102596,f624(x102594,x102593,x102591,x102596,x102597,x102595,x102592)),x102597)+~P107(f334(f70(x102592),x102593))+~P107(f334(f70(x102592),x102594))+E(f334(x102591,f334(f334(f123(f926(x102592,a913)),x102593),x102594)),f334(f334(x102595,f334(x102591,x102593)),f334(x102591,x102594)))
% 164.85/165.09 [10323]~P21(x103238,x103232,x103235,x103237,x103236,x103231)+~P107(f334(f70(x103232),x103233))+~P107(f334(f70(x103232),x103234))+E(f334(x103231,f334(f334(f123(f926(x103232,a913)),x103233),x103234)),f334(f334(x103235,f334(x103231,x103233)),f334(x103231,x103234)))+P107(f334(f334(f336(x103232),f624(x103234,x103233,x103231,x103236,x103237,x103235,x103232)),f334(f334(f114(f926(x103232,a913)),x103233),x103234)))
% 164.85/165.09 [10015]~P6(x100154,x100158,x100155)+~P6(x100151,x100159,x100153)+~P11(x100151,x100154,f926(x100152,a913),x100153,x100155,x100157)+P10(x100151,f926(x100152,a913),x100153,f334(f334(f8(f926(x100154,f926(x100152,a913)),f926(x100152,a913),x100151),f334(f48(x100154,f926(x100152,a913)),f334(f293(x100154,x100154,x100155),f334(f334(f316(x100154),x100156),f198(f926(x100154,a913)))))),x100157))+~P107(f334(f334(f336(x100154),x100156),x100158))
% 164.85/165.09 [5575]~P110(x55753)+~P12(x55753,x55751)+E(x55751,f786(x55752,x55753))+~E(f334(f182(x55753),x55751),x55752)+~P107(f334(f70(x55753),x55752))+~P107(f334(f147(x55753),x55751))
% 164.85/165.09 [5203]~P129(x52032)+~P134(x52032)+~P145(x52032)+~P118(x52032)+E(x52031,f2(x52032))+~E(f334(f334(f258(x52032),x52031),x52033),f2(x52032))
% 164.85/165.09 [5204]~P129(x52042)+~P134(x52042)+~P145(x52042)+~P118(x52042)+~E(x52041,f2(a919))+~E(f334(f334(f258(x52042),x52043),x52041),f2(x52042))
% 164.85/165.09 [6633]~P92(x66331)+~E(x66333,f2(x66331))+~E(x66332,f2(x66331))+E(f334(f334(f89(x66331),x66332),x66333),f2(x66331))+~P107(f334(f334(f248(x66331),f2(x66331)),x66333))+~P107(f334(f334(f248(x66331),f2(x66331)),x66332))
% 164.85/165.09 [9017]~E(f334(f265(a919,a919),x90173),f2(a919))+~E(x90171,f334(f334(f89(a919),f334(f334(f90(a919),f334(f265(a919,a919),x90173)),x90172)),f334(f269(a919,a919),x90173)))+P107(f334(f57(x90171,x90172),x90173))+~P107(f334(f334(f248(a919),f334(f269(a919,a919),x90173)),f2(a919)))+P107(f334(f334(f249(a919),f2(a919)),x90172))+~P107(f334(f334(f249(a919),x90172),f334(f269(a919,a919),x90173)))
% 164.85/165.09 [9025]E(x90251,f2(a919))+~E(x90252,f334(f334(f89(a919),f334(f334(f90(a919),f334(f265(a919,a919),x90253)),x90251)),f334(f269(a919,a919),x90253)))+P107(f334(f57(x90252,x90251),x90253))+~P107(f334(f334(f249(a919),f2(a919)),x90251))+~P107(f334(f334(f248(a919),f2(a919)),f334(f269(a919,a919),x90253)))+~P107(f334(f334(f249(a919),f334(f269(a919,a919),x90253)),x90251))
% 164.85/165.09 [9043]~E(f334(f265(a919,a919),x90433),f2(a919))+~E(x90431,f334(f334(f89(a919),f334(f334(f90(a919),f334(f265(a919,a919),x90433)),x90432)),f334(f269(a919,a919),x90433)))+P107(f334(f57(x90431,x90432),x90433))+~P107(f334(f334(f249(a919),f2(a919)),x90432))+~P107(f334(f334(f248(a919),f2(a919)),f334(f269(a919,a919),x90433)))+~P107(f334(f334(f249(a919),f334(f269(a919,a919),x90433)),x90432))
% 164.85/165.09 [7010]~P83(x70102)+E(x70101,f198(f926(x70102,a913)))+E(x70103,f198(f926(x70102,a913)))+~P107(f334(f70(x70102),x70101))+~P107(f334(f70(x70102),x70103))+E(f10(x70102,f334(f334(f123(f926(x70102,a913)),x70103),x70101)),f334(f334(f123(x70102),f10(x70102,x70103)),f10(x70102,x70101)))
% 164.85/165.09 [7011]~P83(x70112)+E(x70111,f198(f926(x70112,a913)))+E(x70113,f198(f926(x70112,a913)))+~P107(f334(f70(x70112),x70111))+~P107(f334(f70(x70112),x70113))+E(f11(x70112,f334(f334(f123(f926(x70112,a913)),x70113),x70111)),f334(f334(f114(x70112),f11(x70112,x70113)),f11(x70112,x70111)))
% 164.85/165.09 [7012]~P110(x70122)+E(x70121,f198(f926(x70122,a913)))+E(x70123,f198(f926(x70122,a913)))+~P107(f334(f70(x70122),x70121))+~P107(f334(f70(x70122),x70123))+E(f14(x70122,f334(f334(f123(f926(x70122,a913)),x70123),x70121)),f334(f334(f246(x70122),f14(x70122,x70123)),f14(x70122,x70121)))
% 164.85/165.09 [7013]~P110(x70132)+E(x70131,f198(f926(x70132,a913)))+E(x70133,f198(f926(x70132,a913)))+~P107(f334(f70(x70132),x70131))+~P107(f334(f70(x70132),x70133))+E(f15(x70132,f334(f334(f123(f926(x70132,a913)),x70133),x70131)),f334(f334(f247(x70132),f15(x70132,x70133)),f15(x70132,x70131)))
% 164.85/165.09 [7646]~P99(x76462)+E(x76461,f198(f926(x76462,a913)))+E(x76463,f198(f926(x76462,a913)))+~P107(f334(f70(x76462),x76461))+~P107(f334(f70(x76462),x76463))+E(f334(f334(f90(x76462),f334(f72(x76462,f90(x76462)),x76463)),f334(f72(x76462,f90(x76462)),x76461)),f334(f72(x76462,f90(x76462)),f334(f334(f123(f926(x76462,a913)),x76463),x76461)))
% 164.85/165.09 [7802]~P110(x78022)+E(x78021,f198(f926(x78022,a913)))+E(x78023,f198(f926(x78022,a913)))+~P107(f334(f70(x78022),x78021))+~P107(f334(f70(x78022),x78023))+E(f334(f334(f246(x78022),f12(x78022,f246(x78022),x78023)),f12(x78022,f246(x78022),x78021)),f12(x78022,f246(x78022),f334(f334(f123(f926(x78022,a913)),x78023),x78021)))
% 164.85/165.09 [7803]~P110(x78032)+E(x78031,f198(f926(x78032,a913)))+E(x78033,f198(f926(x78032,a913)))+~P107(f334(f70(x78032),x78031))+~P107(f334(f70(x78032),x78033))+E(f334(f334(f247(x78032),f13(x78032,f247(x78032),x78033)),f13(x78032,f247(x78032),x78031)),f13(x78032,f247(x78032),f334(f334(f123(f926(x78032,a913)),x78033),x78031)))
% 164.85/165.09 [8852]~P107(f334(x88521,x88523))+P107(f334(x88521,f583(x88521,x88522)))+P107(f334(x88521,f569(x88521,x88522)))+~P107(f334(f334(f249(a1),f2(a1)),x88522))+~P107(f334(f334(f336(a1),x88523),f310(a1,f87(a1),x88522)))+P107(f334(x88521,f334(f334(f23(a1),f569(x88521,x88522)),f334(f334(f90(a1),f582(x88521,x88522)),x88522))))
% 164.85/165.09 [9164]~P107(f334(x91641,x91643))+~P107(f334(x91641,f569(x91641,x91642)))+P107(f334(x91641,f583(x91641,x91642)))+~P107(f334(f334(f249(a1),f2(a1)),x91642))+~P107(f334(f334(f336(a1),x91643),f310(a1,f87(a1),x91642)))+~P107(f334(x91641,f334(f334(f23(a1),f569(x91641,x91642)),f334(f334(f90(a1),f582(x91641,x91642)),x91642))))
% 164.85/165.09 [10414]~P101(x104142)+E(x104141,f198(f926(x104142,a913)))+E(x104143,f198(f926(x104142,a913)))+~P107(f334(f70(x104142),x104141))+~P107(f334(f70(x104142),x104143))+E(f11(x104142,f334(f254(x104142),f334(f334(f8(f926(x104142,a913),a913,x104142),f96(x104142)),f334(f334(f8(f926(x104142,f926(x104142,a913)),f926(x104142,a913),x104142),f334(f8(f926(x104142,a913),a913,x104142),f96(x104142))),f334(f334(f7(x104142,f926(x104142,f926(x104142,a913)),f926(x104142,f926(x104142,a913))),f334(f334(f8(f926(x104142,f926(f926(x104142,a913),f926(x104142,a913))),f926(f926(x104142,f926(x104142,a913)),f926(x104142,f926(x104142,a913))),x104142),f18(x104142,f926(x104142,a913),f926(x104142,a913))),f334(f334(f8(f926(x104142,f926(x104142,f926(a913,a913))),f926(x104142,f926(f926(x104142,a913),f926(x104142,a913))),x104142),f334(f8(f926(x104142,f926(a913,a913)),f926(f926(x104142,a913),f926(x104142,a913)),x104142),f18(x104142,a913,a913))),f334(f334(f8(f926(x104142,f926(x104142,a913)),f926(x104142,f926(x104142,f926(a913,a913))),x104142),f334(f8(f926(x104142,a913),f926(x104142,f926(a913,a913)),x104142),f334(f8(a913,f926(a913,a913),x104142),a333))),f334(f334(f7(x104142,f926(x104142,f926(x104142,x104142)),f926(x104142,f926(x104142,a913))),f334(f334(f8(f926(f926(x104142,x104142),f926(x104142,a913)),f926(f926(x104142,f926(x104142,x104142)),f926(x104142,f926(x104142,a913))),x104142),f8(f926(x104142,x104142),f926(x104142,a913),x104142)),f334(f334(f8(f926(x104142,a913),f926(f926(x104142,x104142),f926(x104142,a913)),x104142),f8(x104142,a913,x104142)),a331))),f123(x104142)))))),f334(f334(f7(x104142,f926(x104142,a913),f926(x104142,a913)),f334(f334(f8(f926(a913,a913),f926(f926(x104142,a913),f926(x104142,a913)),x104142),f8(a913,a913,x104142)),f334(f334(f8(a913,f926(a913,a913),x104142),a333),f334(f334(f7(x104142,f926(x104142,a913),a913),f336(x104142)),x104143)))),f334(f334(f7(x104142,f926(x104142,a913),a913),f336(x104142)),x104141))))))),f334(f334(f123(x104142),f11(x104142,x104143)),f11(x104142,x104141)))
% 164.85/165.09 [10415]~P101(x104152)+E(x104151,f198(f926(x104152,a913)))+E(x104153,f198(f926(x104152,a913)))+~P107(f334(f70(x104152),x104151))+~P107(f334(f70(x104152),x104153))+E(f10(x104152,f334(f254(x104152),f334(f334(f8(f926(x104152,a913),a913,x104152),f96(x104152)),f334(f334(f8(f926(x104152,f926(x104152,a913)),f926(x104152,a913),x104152),f334(f8(f926(x104152,a913),a913,x104152),f96(x104152))),f334(f334(f7(x104152,f926(x104152,f926(x104152,a913)),f926(x104152,f926(x104152,a913))),f334(f334(f8(f926(x104152,f926(f926(x104152,a913),f926(x104152,a913))),f926(f926(x104152,f926(x104152,a913)),f926(x104152,f926(x104152,a913))),x104152),f18(x104152,f926(x104152,a913),f926(x104152,a913))),f334(f334(f8(f926(x104152,f926(x104152,f926(a913,a913))),f926(x104152,f926(f926(x104152,a913),f926(x104152,a913))),x104152),f334(f8(f926(x104152,f926(a913,a913)),f926(f926(x104152,a913),f926(x104152,a913)),x104152),f18(x104152,a913,a913))),f334(f334(f8(f926(x104152,f926(x104152,a913)),f926(x104152,f926(x104152,f926(a913,a913))),x104152),f334(f8(f926(x104152,a913),f926(x104152,f926(a913,a913)),x104152),f334(f8(a913,f926(a913,a913),x104152),a333))),f334(f334(f7(x104152,f926(x104152,f926(x104152,x104152)),f926(x104152,f926(x104152,a913))),f334(f334(f8(f926(f926(x104152,x104152),f926(x104152,a913)),f926(f926(x104152,f926(x104152,x104152)),f926(x104152,f926(x104152,a913))),x104152),f8(f926(x104152,x104152),f926(x104152,a913),x104152)),f334(f334(f8(f926(x104152,a913),f926(f926(x104152,x104152),f926(x104152,a913)),x104152),f8(x104152,a913,x104152)),a331))),f114(x104152)))))),f334(f334(f7(x104152,f926(x104152,a913),f926(x104152,a913)),f334(f334(f8(f926(a913,a913),f926(f926(x104152,a913),f926(x104152,a913)),x104152),f8(a913,a913,x104152)),f334(f334(f8(a913,f926(a913,a913),x104152),a333),f334(f334(f7(x104152,f926(x104152,a913),a913),f336(x104152)),x104153)))),f334(f334(f7(x104152,f926(x104152,a913),a913),f336(x104152)),x104151))))))),f334(f334(f114(x104152),f10(x104152,x104153)),f10(x104152,x104151)))
% 164.85/165.09 [10416]~P110(x104162)+E(x104161,f198(f926(x104162,a913)))+E(x104163,f198(f926(x104162,a913)))+~P107(f334(f70(x104162),x104161))+~P107(f334(f70(x104162),x104163))+E(f13(x104162,f247(x104162),f334(f254(x104162),f334(f334(f8(f926(x104162,a913),a913,x104162),f96(x104162)),f334(f334(f8(f926(x104162,f926(x104162,a913)),f926(x104162,a913),x104162),f334(f8(f926(x104162,a913),a913,x104162),f96(x104162))),f334(f334(f7(x104162,f926(x104162,f926(x104162,a913)),f926(x104162,f926(x104162,a913))),f334(f334(f8(f926(x104162,f926(f926(x104162,a913),f926(x104162,a913))),f926(f926(x104162,f926(x104162,a913)),f926(x104162,f926(x104162,a913))),x104162),f18(x104162,f926(x104162,a913),f926(x104162,a913))),f334(f334(f8(f926(x104162,f926(x104162,f926(a913,a913))),f926(x104162,f926(f926(x104162,a913),f926(x104162,a913))),x104162),f334(f8(f926(x104162,f926(a913,a913)),f926(f926(x104162,a913),f926(x104162,a913)),x104162),f18(x104162,a913,a913))),f334(f334(f8(f926(x104162,f926(x104162,a913)),f926(x104162,f926(x104162,f926(a913,a913))),x104162),f334(f8(f926(x104162,a913),f926(x104162,f926(a913,a913)),x104162),f334(f8(a913,f926(a913,a913),x104162),a333))),f334(f334(f7(x104162,f926(x104162,f926(x104162,x104162)),f926(x104162,f926(x104162,a913))),f334(f334(f8(f926(f926(x104162,x104162),f926(x104162,a913)),f926(f926(x104162,f926(x104162,x104162)),f926(x104162,f926(x104162,a913))),x104162),f8(f926(x104162,x104162),f926(x104162,a913),x104162)),f334(f334(f8(f926(x104162,a913),f926(f926(x104162,x104162),f926(x104162,a913)),x104162),f8(x104162,a913,x104162)),a331))),f246(x104162)))))),f334(f334(f7(x104162,f926(x104162,a913),f926(x104162,a913)),f334(f334(f8(f926(a913,a913),f926(f926(x104162,a913),f926(x104162,a913)),x104162),f8(a913,a913,x104162)),f334(f334(f8(a913,f926(a913,a913),x104162),a333),f334(f334(f7(x104162,f926(x104162,a913),a913),f336(x104162)),x104163)))),f334(f334(f7(x104162,f926(x104162,a913),a913),f336(x104162)),x104161))))))),f334(f334(f246(x104162),f13(x104162,f247(x104162),x104163)),f13(x104162,f247(x104162),x104161)))
% 164.85/165.09 [10417]~P110(x104172)+E(x104171,f198(f926(x104172,a913)))+E(x104173,f198(f926(x104172,a913)))+~P107(f334(f70(x104172),x104171))+~P107(f334(f70(x104172),x104173))+E(f12(x104172,f246(x104172),f334(f254(x104172),f334(f334(f8(f926(x104172,a913),a913,x104172),f96(x104172)),f334(f334(f8(f926(x104172,f926(x104172,a913)),f926(x104172,a913),x104172),f334(f8(f926(x104172,a913),a913,x104172),f96(x104172))),f334(f334(f7(x104172,f926(x104172,f926(x104172,a913)),f926(x104172,f926(x104172,a913))),f334(f334(f8(f926(x104172,f926(f926(x104172,a913),f926(x104172,a913))),f926(f926(x104172,f926(x104172,a913)),f926(x104172,f926(x104172,a913))),x104172),f18(x104172,f926(x104172,a913),f926(x104172,a913))),f334(f334(f8(f926(x104172,f926(x104172,f926(a913,a913))),f926(x104172,f926(f926(x104172,a913),f926(x104172,a913))),x104172),f334(f8(f926(x104172,f926(a913,a913)),f926(f926(x104172,a913),f926(x104172,a913)),x104172),f18(x104172,a913,a913))),f334(f334(f8(f926(x104172,f926(x104172,a913)),f926(x104172,f926(x104172,f926(a913,a913))),x104172),f334(f8(f926(x104172,a913),f926(x104172,f926(a913,a913)),x104172),f334(f8(a913,f926(a913,a913),x104172),a333))),f334(f334(f7(x104172,f926(x104172,f926(x104172,x104172)),f926(x104172,f926(x104172,a913))),f334(f334(f8(f926(f926(x104172,x104172),f926(x104172,a913)),f926(f926(x104172,f926(x104172,x104172)),f926(x104172,f926(x104172,a913))),x104172),f8(f926(x104172,x104172),f926(x104172,a913),x104172)),f334(f334(f8(f926(x104172,a913),f926(f926(x104172,x104172),f926(x104172,a913)),x104172),f8(x104172,a913,x104172)),a331))),f247(x104172)))))),f334(f334(f7(x104172,f926(x104172,a913),f926(x104172,a913)),f334(f334(f8(f926(a913,a913),f926(f926(x104172,a913),f926(x104172,a913)),x104172),f8(a913,a913,x104172)),f334(f334(f8(a913,f926(a913,a913),x104172),a333),f334(f334(f7(x104172,f926(x104172,a913),a913),f336(x104172)),x104173)))),f334(f334(f7(x104172,f926(x104172,a913),a913),f336(x104172)),x104171))))))),f334(f334(f247(x104172),f12(x104172,f246(x104172),x104173)),f12(x104172,f246(x104172),x104171)))
% 164.85/165.09 [7337]~P125(x73373)+E(x73371,x73372)+~E(f334(f334(f258(x73373),x73371),x73374),f334(f334(f258(x73373),x73372),x73374))+~P107(f334(f334(f248(x73373),f2(x73373)),x73372))+~P107(f334(f334(f248(x73373),f2(x73373)),x73371))+~P107(f334(f334(f249(a919),f2(a919)),x73374))
% 164.85/165.09 [7606]~P110(x76062)+E(x76061,f198(f926(x76062,a913)))+~P107(f334(f70(x76062),x76061))+~P107(f334(f334(f336(x76062),x76064),x76061))+P107(f334(f334(f248(x76062),x76063),x76064))+~P107(f334(f334(f248(x76062),x76063),f334(f72(x76062,f246(x76062)),x76061)))
% 164.85/165.09 [7607]~P103(x76072)+E(x76071,f198(f926(x76072,a913)))+~P107(f334(f70(x76072),x76071))+~P107(f334(f334(f336(x76072),x76074),x76071))+P107(f334(f334(f248(x76072),x76073),x76074))+~P107(f334(f334(f248(x76072),x76073),f334(f72(x76072,f114(x76072)),x76071)))
% 164.85/165.09 [7608]~P110(x76082)+E(x76081,f198(f926(x76082,a913)))+~P107(f334(f70(x76082),x76081))+~P107(f334(f334(f336(x76082),x76084),x76081))+P107(f334(f334(f249(x76082),x76083),x76084))+~P107(f334(f334(f249(x76082),x76083),f334(f72(x76082,f246(x76082)),x76081)))
% 164.85/165.09 [7512]E(x75121,f2(a1))+E(f334(f334(f45(a1),x75122),x75121),x75123)+~P107(f334(f334(f248(a1),x75124),f2(a1)))+~E(x75122,f334(f334(f89(a1),f334(f334(f90(a1),x75121),x75123)),x75124))+P107(f334(f334(f249(a1),f2(a1)),x75121))+~P107(f334(f334(f249(a1),x75121),x75124))
% 164.85/165.09 [7527]E(f54(a1,x75272,x75271),x75273)+E(x75271,f2(a1))+~P107(f334(f334(f248(a1),x75273),f2(a1)))+~E(x75272,f334(f334(f89(a1),f334(f334(f90(a1),x75271),x75274)),x75273))+P107(f334(f334(f249(a1),f2(a1)),x75271))+~P107(f334(f334(f249(a1),x75271),x75273))
% 164.85/165.09 [7645]E(x76451,f2(a1))+E(f334(f334(f45(a1),x76452),x76451),x76453)+~E(x76452,f334(f334(f89(a1),f334(f334(f90(a1),x76451),x76453)),x76454))+~P107(f334(f334(f248(a1),f2(a1)),x76454))+~P107(f334(f334(f249(a1),f2(a1)),x76451))+~P107(f334(f334(f249(a1),x76454),x76451))
% 164.85/165.09 [7665]E(f54(a1,x76652,x76651),x76653)+E(x76651,f2(a1))+~E(x76652,f334(f334(f89(a1),f334(f334(f90(a1),x76651),x76654)),x76653))+~P107(f334(f334(f248(a1),f2(a1)),x76653))+~P107(f334(f334(f249(a1),f2(a1)),x76651))+~P107(f334(f334(f249(a1),x76653),x76651))
% 164.85/165.09 [7806]~P110(x78062)+E(x78061,f198(f926(x78062,a913)))+~P107(f334(f70(x78062),x78061))+~P107(f334(f334(f248(x78062),x78064),x78063))+~P107(f334(f334(f336(x78062),x78064),x78061))+P107(f334(f334(f248(x78062),f334(f72(x78062,f246(x78062)),x78061)),x78063))
% 164.85/165.09 [7807]~P110(x78072)+E(x78071,f198(f926(x78072,a913)))+~P107(f334(f70(x78072),x78071))+~P107(f334(f334(f249(x78072),x78074),x78073))+~P107(f334(f334(f336(x78072),x78074),x78071))+P107(f334(f334(f249(x78072),f334(f72(x78072,f246(x78072)),x78071)),x78073))
% 164.85/165.09 [8377]~P107(f334(f334(f248(a1),x83774),f2(a1)))+~E(x83771,f334(f334(f89(a1),f334(f334(f90(a1),x83772),x83773)),x83774))+~P107(f334(f334(f248(a1),f2(a1)),x83774))+~P107(f334(f334(f249(a1),x83774),x83772))+~P107(f334(f334(f249(a1),x83772),x83774))+P107(f334(f58(x83771,x83772),f334(f334(f266(a1,a1),x83773),x83774)))
% 164.85/165.09 [8546]~P111(x85461)+P107(f334(f334(f249(f926(x85461,a913)),f310(x85461,x85462,x85463)),f310(x85461,x85464,x85465)))+~P107(f334(f334(f248(x85461),x85464),x85462))+~P107(f334(f334(f248(x85461),x85464),x85465))+~P107(f334(f334(f248(x85461),x85463),x85465))+~P107(f334(f334(f249(x85461),x85463),x85465))
% 164.85/165.09 [8547]~P111(x85471)+P107(f334(f334(f249(f926(x85471,a913)),f310(x85471,x85472,x85473)),f310(x85471,x85474,x85475)))+~P107(f334(f334(f248(x85471),x85473),x85475))+~P107(f334(f334(f248(x85471),x85474),x85475))+~P107(f334(f334(f248(x85471),x85474),x85472))+~P107(f334(f334(f249(x85471),x85474),x85472))
% 164.85/165.09 [9428]P58(x94282,x94283,x94284,x94281)+E(x94281,f198(f926(x94282,a913)))+~P107(f334(f70(x94282),x94284))+~P107(f334(f70(x94282),x94281))+~P107(f334(f334(x94283,f407(x94281,x94284,x94283,x94282)),x94285))+~P107(f334(f334(f336(x94282),x94285),x94281))
% 164.85/165.09 [9429]P58(x94292,x94293,x94294,x94291)+E(x94291,f198(f926(x94292,a913)))+~P107(f334(f70(x94292),x94294))+~P107(f334(f70(x94292),x94291))+~P107(f334(f334(x94293,f858(x94293,x94291,x94294,x94292)),x94295))+~P107(f334(f334(f336(x94292),x94295),x94291))
% 164.85/165.09 [9582]~E(x95823,x95825)+~P72(x95821)+~P76(x95821)+~P40(x95823)+E(f334(f334(f6(a1,x95821),x95822),x95823),f334(f334(f6(a1,x95821),x95824),x95825))+P107(f334(f334(f248(a1),f2(a1)),f611(x95822,x95824,x95823,x95825,x95821)))
% 164.85/165.09 [9583]~E(x95833,x95835)+~P72(x95831)+~P76(x95831)+~P40(x95833)+E(f334(f334(f9(a1,x95831),x95832),x95833),f334(f334(f9(a1,x95831),x95834),x95835))+P107(f334(f334(f248(a1),f2(a1)),f609(x95832,x95834,x95833,x95835,x95831)))
% 164.85/165.09 [9767]~E(x97675,x97673)+~P72(x97671)+~P76(x97671)+~P40(x97675)+~E(f334(x97672,f611(x97674,x97672,x97675,x97673,x97671)),f334(x97674,f611(x97674,x97672,x97675,x97673,x97671)))+E(f334(f334(f6(a1,x97671),x97672),x97673),f334(f334(f6(a1,x97671),x97674),x97675))
% 164.85/165.09 [9768]~E(x97685,x97683)+~P72(x97681)+~P76(x97681)+~P40(x97685)+~E(f334(x97682,f609(x97684,x97682,x97685,x97683,x97681)),f334(x97684,f609(x97684,x97682,x97685,x97683,x97681)))+E(f334(f334(f9(a1,x97681),x97682),x97683),f334(f334(f9(a1,x97681),x97684),x97685))
% 164.85/165.09 [9856]~P79(x98563)+E(f334(x98561,x98562),f2(x98563))+~E(f334(f334(f6(x98564,x98563),x98561),x98565),f2(x98563))+~P107(f334(f70(x98564),x98565))+P107(f334(f334(f336(x98564),f550(x98562,x98561,x98565,x98564,x98563)),x98565))+~P107(f334(f334(f336(x98564),x98562),x98565))
% 164.85/165.09 [9988]~P79(x99883)+E(f334(x99881,x99882),f2(x99883))+~E(f334(f334(f6(x99884,x99883),x99881),x99885),f2(x99883))+~P107(f334(f70(x99884),x99885))+~P107(f334(f334(f336(x99884),x99882),x99885))+~P107(f334(f334(f248(x99883),f2(x99883)),f334(x99881,f550(x99882,x99881,x99885,x99884,x99883))))
% 164.85/165.09 [8461]~P137(x84611)+~P107(f334(f334(f248(x84611),x84613),x84615))+~P107(f334(f334(f248(x84611),x84612),x84614))+~P107(f334(f334(f248(x84611),f2(x84611)),x84613))+~P107(f334(f334(f248(x84611),f2(x84611)),x84614))+P107(f334(f334(f248(x84611),f334(f334(f90(x84611),x84612),x84613)),f334(f334(f90(x84611),x84614),x84615)))
% 164.85/165.09 [8462]~P137(x84621)+~P107(f334(f334(f248(x84621),x84623),x84625))+~P107(f334(f334(f248(x84621),x84622),x84624))+~P107(f334(f334(f248(x84621),f2(x84621)),x84623))+~P107(f334(f334(f248(x84621),f2(x84621)),x84622))+P107(f334(f334(f248(x84621),f334(f334(f90(x84621),x84622),x84623)),f334(f334(f90(x84621),x84624),x84625)))
% 164.85/165.09 [8463]~P68(x84631)+~P107(f334(f334(f249(x84631),f2(x84631)),x84635))+~P107(f334(f334(f248(x84631),x84635),x84633))+~P107(f334(f334(f248(x84631),x84632),x84634))+~P107(f334(f334(f248(x84631),f2(x84631)),x84632))+P107(f334(f334(f248(x84631),f334(f334(f297(x84631),x84632),x84633)),f334(f334(f297(x84631),x84634),x84635)))
% 164.85/165.09 [8464]~P130(x84641)+~P107(f334(f334(f248(x84641),x84643),x84645))+~P107(f334(f334(f248(x84641),f2(x84641)),x84642))+~P107(f334(f334(f249(x84641),x84642),x84644))+~P107(f334(f334(f249(x84641),f2(x84641)),x84643))+P107(f334(f334(f249(x84641),f334(f334(f90(x84641),x84642),x84643)),f334(f334(f90(x84641),x84644),x84645)))
% 164.85/165.09 [8465]~P130(x84651)+~P107(f334(f334(f248(x84651),x84652),x84654))+~P107(f334(f334(f248(x84651),f2(x84651)),x84653))+~P107(f334(f334(f249(x84651),x84653),x84655))+~P107(f334(f334(f249(x84651),f2(x84651)),x84652))+P107(f334(f334(f249(x84651),f334(f334(f90(x84651),x84652),x84653)),f334(f334(f90(x84651),x84654),x84655)))
% 164.85/165.09 [8466]~P130(x84661)+~P107(f334(f334(f248(x84661),f2(x84661)),x84663))+~P107(f334(f334(f248(x84661),f2(x84661)),x84662))+~P107(f334(f334(f249(x84661),x84663),x84665))+~P107(f334(f334(f249(x84661),x84662),x84664))+P107(f334(f334(f249(x84661),f334(f334(f90(x84661),x84662),x84663)),f334(f334(f90(x84661),x84664),x84665)))
% 164.85/165.09 [8467]~P130(x84671)+~P107(f334(f334(f248(x84671),f2(x84671)),x84673))+~P107(f334(f334(f249(x84671),x84673),x84675))+~P107(f334(f334(f249(x84671),x84672),x84674))+~P107(f334(f334(f249(x84671),f2(x84671)),x84674))+P107(f334(f334(f249(x84671),f334(f334(f90(x84671),x84672),x84673)),f334(f334(f90(x84671),x84674),x84675)))
% 164.85/165.09 [8468]~P68(x84681)+~P107(f334(f334(f248(x84681),x84685),x84683))+~P107(f334(f334(f248(x84681),f2(x84681)),x84682))+~P107(f334(f334(f249(x84681),x84682),x84684))+~P107(f334(f334(f249(x84681),f2(x84681)),x84685))+P107(f334(f334(f249(x84681),f334(f334(f297(x84681),x84682),x84683)),f334(f334(f297(x84681),x84684),x84685)))
% 164.85/165.09 [8469]~P68(x84691)+~P107(f334(f334(f248(x84691),x84692),x84694))+~P107(f334(f334(f249(x84691),x84695),x84693))+~P107(f334(f334(f249(x84691),f2(x84691)),x84695))+~P107(f334(f334(f249(x84691),f2(x84691)),x84692))+P107(f334(f334(f249(x84691),f334(f334(f297(x84691),x84692),x84693)),f334(f334(f297(x84691),x84694),x84695)))
% 164.85/165.09 [9897]~P72(x98975)+~P88(x98975)+E(x98971,f198(f926(x98972,a913)))+~P107(f334(f70(x98972),x98971))+P107(f334(f334(f336(x98972),f441(x98973,x98974,x98971,x98972,x98975)),x98971))+P107(f334(f334(f249(x98975),f334(f334(f6(x98972,x98975),x98974),x98971)),f334(f334(f6(x98972,x98975),x98973),x98971)))
% 164.85/165.09 [10011]~P72(x100111)+~P90(x100111)+~P107(f334(f70(x100112),x100115))+~P107(f334(f334(f248(x100111),f2(x100111)),f334(x100113,f480(x100113,x100114,x100115,x100112,x100111))))+P107(f334(f334(f248(x100111),f334(f334(f6(x100112,x100111),x100113),x100114)),f334(f334(f6(x100112,x100111),x100113),x100115)))+~P107(f334(f334(f248(f926(x100112,a913)),x100114),x100115))
% 164.85/165.09 [10179]~P72(x101793)+~P88(x101793)+E(x101791,f198(f926(x101792,a913)))+~P107(f334(f70(x101792),x101791))+~P107(f334(f334(f249(x101793),f334(x101794,f441(x101795,x101794,x101791,x101792,x101793))),f334(x101795,f441(x101795,x101794,x101791,x101792,x101793))))+P107(f334(f334(f249(x101793),f334(f334(f6(x101792,x101793),x101794),x101791)),f334(f334(f6(x101792,x101793),x101795),x101791)))
% 164.85/165.09 [7192]~P15(x71922,x71925,x71924)+E(x71921,f198(f926(x71922,a913)))+E(x71923,f198(f926(x71922,a913)))+~P107(f334(f70(x71922),x71921))+~P107(f334(f70(x71922),x71923))+E(f334(x71924,f334(f334(f123(f926(x71922,a913)),x71923),x71921)),f334(f334(x71925,f334(x71924,x71923)),f334(x71924,x71921)))
% 164.85/165.09 [7773]~P148(x77731,x77733,x77734)+P107(f334(x77731,x77732))+~P107(f334(f334(f249(a1),x77734),f2(a1)))+~P107(f334(f334(f248(a1),x77735),f2(a1)))+~E(x77733,f334(f334(f89(a1),f334(f334(f90(a1),x77734),x77732)),x77735))+~P107(f334(f334(f249(a1),x77734),x77735))
% 164.85/165.09 [7774]~P147(x77741,x77743,x77744)+P107(f334(x77741,x77742))+~P107(f334(f334(f249(a1),x77744),f2(a1)))+~P107(f334(f334(f248(a1),x77742),f2(a1)))+~E(x77743,f334(f334(f89(a1),f334(f334(f90(a1),x77744),x77745)),x77742))+~P107(f334(f334(f249(a1),x77744),x77742))
% 164.85/165.09 [7815]~P148(x78151,x78153,x78154)+P107(f334(x78151,x78152))+~E(x78153,f334(f334(f89(a1),f334(f334(f90(a1),x78154),x78152)),x78155))+~P107(f334(f334(f248(a1),f2(a1)),x78155))+~P107(f334(f334(f249(a1),f2(a1)),x78154))+~P107(f334(f334(f249(a1),x78155),x78154))
% 164.85/165.09 [7816]~P147(x78161,x78163,x78164)+P107(f334(x78161,x78162))+~E(x78163,f334(f334(f89(a1),f334(f334(f90(a1),x78164),x78165)),x78162))+~P107(f334(f334(f248(a1),f2(a1)),x78162))+~P107(f334(f334(f249(a1),f2(a1)),x78164))+~P107(f334(f334(f249(a1),x78162),x78164))
% 164.85/165.09 [8764]P107(f334(f334(x87641,x87642),x87643))+~P107(f334(f334(x87641,f334(f334(f45(a1),x87644),x87645)),f54(a1,x87644,x87645)))+~P107(f334(f334(f249(a1),x87645),f2(a1)))+~P107(f334(f334(f248(a1),x87643),f2(a1)))+~E(x87644,f334(f334(f89(a1),f334(f334(f90(a1),x87645),x87642)),x87643))+~P107(f334(f334(f249(a1),x87645),x87643))
% 164.85/165.09 [8775]P107(f334(f334(x87751,x87752),x87753))+~P107(f334(f334(x87751,f334(f334(f45(a1),x87754),x87755)),f54(a1,x87754,x87755)))+~E(x87754,f334(f334(f89(a1),f334(f334(f90(a1),x87755),x87752)),x87753))+~P107(f334(f334(f248(a1),f2(a1)),x87753))+~P107(f334(f334(f249(a1),f2(a1)),x87755))+~P107(f334(f334(f249(a1),x87753),x87755))
% 164.85/165.09 [9032]E(x90321,x90322)+~P55(x90323,x90325,x90324)+~P107(f334(f334(f336(x90323),x90322),x90325))+~P107(f334(f334(f336(x90323),x90321),x90325))+P107(f334(f334(f336(f925(x90323,x90323)),f334(f334(f266(x90323,x90323),x90321),x90322)),x90324))+P107(f334(f334(f336(f925(x90323,x90323)),f334(f334(f266(x90323,x90323),x90322),x90321)),x90324))
% 164.85/165.09 [9925]~P72(x99255)+~P90(x99255)+~P107(f334(f70(x99251),x99254))+P107(f334(f334(f248(x99255),f334(f334(f6(x99251,x99255),x99252),x99253)),f334(f334(f6(x99251,x99255),x99252),x99254)))+~P107(f334(f334(f248(f926(x99251,a913)),x99253),x99254))+P107(f334(f334(f336(x99251),f480(x99252,x99253,x99254,x99251,x99255)),f334(f334(f23(f926(x99251,a913)),x99254),x99253)))
% 164.85/165.09 [10019]E(x100191,f198(f926(x100192,a913)))+~P107(f334(f70(x100192),x100193))+~P107(f334(f70(x100192),x100191))+P107(f334(f334(f336(f925(f926(x100192,a913),f926(x100192,a913))),f334(f334(f266(f926(x100192,a913),f926(x100192,a913)),x100193),x100191)),f326(x100192,x100194)))+~P107(f334(f334(f336(x100192),x100195),x100191))+~P107(f334(f334(f336(f925(x100192,x100192)),f334(f334(f266(x100192,x100192),f410(x100194,x100191,x100193,x100192)),x100195)),x100194))
% 164.85/165.09 [10020]E(x100201,f198(f926(x100202,a913)))+~P107(f334(f70(x100202),x100203))+~P107(f334(f70(x100202),x100201))+P107(f334(f334(f336(f925(f926(x100202,a913),f926(x100202,a913))),f334(f334(f266(f926(x100202,a913),f926(x100202,a913)),x100203),x100201)),f326(x100202,x100204)))+~P107(f334(f334(f336(x100202),x100205),x100201))+~P107(f334(f334(f336(f925(x100202,x100202)),f334(f334(f266(x100202,x100202),f648(x100204,x100201,x100203,x100202)),x100205)),x100204))
% 164.85/165.09 [10183]~P79(x101831)+~E(f334(f334(f6(x101835,x101831),x101832),x101836),x101834)+~P107(f334(f70(x101835),x101836))+P107(f334(f334(f336(x101835),f539(x101833,x101834,x101832,x101836,x101835,x101831)),x101836))+P107(f334(f334(f248(x101831),f334(x101832,x101833)),x101834))+~P107(f334(f334(f336(x101835),x101833),x101836))
% 164.85/165.09 [10229]~P79(x102291)+~E(f334(f334(f6(x102295,x102291),x102292),x102296),x102294)+~P107(f334(f70(x102295),x102296))+~P107(f334(f334(f336(x102295),x102293),x102296))+~P107(f334(f334(f248(x102291),f2(x102291)),f334(x102292,f539(x102293,x102294,x102292,x102296,x102295,x102291))))+P107(f334(f334(f248(x102291),f334(x102292,x102293)),x102294))
% 164.85/165.09 [10361]~E(x103615,x103618)+~E(x103614,x103617)+~P109(x103611)+~P72(x103612)+E(f334(f334(f6(x103611,x103612),x103613),f334(f309(x103611,x103614),x103615)),f334(f334(f6(x103611,x103612),x103616),f334(f309(x103611,x103617),x103618)))+P107(f334(f334(f248(x103611),x103614),f684(x103613,x103616,x103615,x103618,x103614,x103617,x103611,x103612)))
% 164.85/165.09 [10378]~E(x103787,x103784)+~E(x103788,x103785)+~P109(x103781)+~P72(x103782)+~E(f334(x103783,f684(x103786,x103783,x103788,x103785,x103787,x103784,x103781,x103782)),f334(x103786,f684(x103786,x103783,x103788,x103785,x103787,x103784,x103781,x103782)))+E(f334(f334(f6(x103781,x103782),x103783),f334(f309(x103781,x103784),x103785)),f334(f334(f6(x103781,x103782),x103786),f334(f309(x103781,x103787),x103788)))
% 164.85/165.09 [10382]~E(x103824,x103827)+~E(x103825,x103828)+~P109(x103821)+~P72(x103822)+E(f334(f334(f6(x103821,x103822),x103823),f334(f309(x103821,x103824),x103825)),f334(f334(f6(x103821,x103822),x103826),f334(f309(x103821,x103827),x103828)))+P107(f334(f334(f249(x103821),f684(x103823,x103826,x103825,x103828,x103824,x103827,x103821,x103822)),x103825))
% 164.85/165.09 [10026]~P6(x100265,x100269,x100266)+~P6(x100261,x1002610,x100263)+~P11(x100261,x100265,f926(x100262,a913),x100263,x100266,x100268)+~P107(f334(f334(f336(x100265),x100267),x100269))+~P107(f334(f334(f336(x100261),x100264),x1002610))+E(f334(f334(f48(x100261,f926(x100262,a913)),f334(f293(x100261,x100261,x100263),f334(f334(f316(x100261),x100264),f198(f926(x100261,a913))))),f334(f334(f8(f926(x100265,f926(x100262,a913)),f926(x100262,a913),x100261),f334(f48(x100265,f926(x100262,a913)),f334(f293(x100265,x100265,x100266),f334(f334(f316(x100265),x100267),f198(f926(x100265,a913)))))),x100268)),f334(f334(x100268,x100264),x100267))
% 164.85/165.09 [5741]~P110(x57413)+~P12(x57413,x57412)+~P12(x57413,x57411)+E(x57411,x57412)+~E(f334(f182(x57413),x57411),f334(f182(x57413),x57412))+~P107(f334(f147(x57413),x57412))+~P107(f334(f147(x57413),x57411))
% 164.85/165.09 [5088]~P129(x50882)+~P134(x50882)+~P145(x50882)+~P118(x50882)+~E(x50883,f2(x50882))+E(x50881,f2(a919))+E(f334(f334(f258(x50882),x50883),x50881),f2(x50882))
% 164.85/165.09 [9305]E(x93051,f2(a919))+~E(x93052,f334(f334(f89(a919),f334(f334(f90(a919),f334(f265(a919,a919),x93053)),x93051)),f334(f269(a919,a919),x93053)))+P107(f334(f57(x93052,x93051),x93053))+~P107(f334(f334(f248(a919),f334(f269(a919,a919),x93053)),f2(a919)))+~P107(f334(f334(f248(a919),f2(a919)),f334(f269(a919,a919),x93053)))+~P107(f334(f334(f249(a919),x93051),f334(f269(a919,a919),x93053)))+~P107(f334(f334(f249(a919),f334(f269(a919,a919),x93053)),x93051))
% 164.85/165.09 [9313]~E(f334(f265(a919,a919),x93133),f2(a919))+~E(x93131,f334(f334(f89(a919),f334(f334(f90(a919),f334(f265(a919,a919),x93133)),x93132)),f334(f269(a919,a919),x93133)))+P107(f334(f57(x93131,x93132),x93133))+~P107(f334(f334(f248(a919),f334(f269(a919,a919),x93133)),f2(a919)))+~P107(f334(f334(f248(a919),f2(a919)),f334(f269(a919,a919),x93133)))+~P107(f334(f334(f249(a919),x93132),f334(f269(a919,a919),x93133)))+~P107(f334(f334(f249(a919),f334(f269(a919,a919),x93133)),x93132))
% 164.85/165.09 [8130]~P69(x81302)+E(x81301,f198(f926(x81302,a913)))+E(x81303,f198(f926(x81302,a913)))+~P107(f334(f70(x81302),x81301))+~P107(f334(f70(x81302),x81303))+~E(f334(f334(f114(f926(x81302,a913)),x81303),x81301),f198(f926(x81302,a913)))+E(f334(f334(f90(x81302),f334(f72(x81302,f90(x81302)),x81303)),f334(f72(x81302,f90(x81302)),x81301)),f334(f72(x81302,f90(x81302)),f334(f334(f123(f926(x81302,a913)),x81303),x81301)))
% 164.85/165.09 [7913]E(x79131,f2(a1))+E(f334(f334(f45(a1),x79132),x79131),x79133)+~P107(f334(f334(f248(a1),x79134),f2(a1)))+~E(x79132,f334(f334(f89(a1),f334(f334(f90(a1),x79131),x79133)),x79134))+~P107(f334(f334(f248(a1),f2(a1)),x79134))+~P107(f334(f334(f249(a1),x79134),x79131))+~P107(f334(f334(f249(a1),x79131),x79134))
% 164.85/165.09 [7921]E(f54(a1,x79212,x79211),x79213)+E(x79211,f2(a1))+~P107(f334(f334(f248(a1),x79213),f2(a1)))+~E(x79212,f334(f334(f89(a1),f334(f334(f90(a1),x79211),x79214)),x79213))+~P107(f334(f334(f248(a1),f2(a1)),x79213))+~P107(f334(f334(f249(a1),x79213),x79211))+~P107(f334(f334(f249(a1),x79211),x79213))
% 164.85/165.09 [7824]~P16(x78242,x78245,x78244)+E(x78241,f198(f926(x78242,a913)))+E(x78243,f198(f926(x78242,a913)))+~P107(f334(f70(x78242),x78241))+~P107(f334(f70(x78242),x78243))+~E(f334(f334(f114(f926(x78242,a913)),x78243),x78241),f198(f926(x78242,a913)))+E(f334(x78244,f334(f334(f123(f926(x78242,a913)),x78243),x78241)),f334(f334(x78245,f334(x78244,x78243)),f334(x78244,x78241)))
% 164.85/165.09 [9553]~P23(x95533,x95531,x95535,x95534)+~P23(x95531,x95533,x95536,x95532)+E(f334(f44(x95531),x95532),f334(f44(x95533),x95534))+~P107(f334(f70(x95533),x95534))+~P107(f334(f70(x95531),x95532))+~P107(f334(f334(f248(f926(x95533,a913)),f334(f317(x95531,x95533,x95536),x95532)),x95534))+~P107(f334(f334(f248(f926(x95531,a913)),f334(f317(x95533,x95531,x95535),x95534)),x95532))
% 164.85/165.09 [9497]~P107(f334(f334(f249(a1),f334(f334(f89(a1),f334(f334(f90(a1),x94975),x94971)),x94976)),f2(a1)))+~E(f334(f334(f89(a1),f334(f334(f90(a1),x94973),x94972)),x94974),f334(f334(f89(a1),f334(f334(f90(a1),x94975),x94971)),x94976))+~P107(f334(f334(f248(a1),f2(a1)),x94976))+~P107(f334(f334(f249(a1),f2(a1)),x94975))+~P107(f334(f334(f248(a1),x94975),x94973))+~P107(f334(f334(f249(a1),x94974),x94973))+P107(f334(f334(f248(a1),x94971),x94972))
% 164.85/165.09 [9255]~E(f334(f334(f89(a1),f334(f334(f90(a1),x92553),x92551)),x92554),f334(f334(f89(a1),f334(f334(f90(a1),x92555),x92552)),x92556))+~P107(f334(f334(f248(a1),f2(a1)),x92554))+~P107(f334(f334(f249(a1),f2(a1)),x92555))+~P107(f334(f334(f248(a1),x92555),x92553))+~P107(f334(f334(f249(a1),x92556),x92555))+P107(f334(f334(f248(a1),x92551),x92552))+~P107(f334(f334(f248(a1),f2(a1)),f334(f334(f89(a1),f334(f334(f90(a1),x92555),x92552)),x92556)))
% 164.85/165.09 [9432]~P132(x94321)+~E(f334(f334(f89(x94321),x94322),x94324),f87(x94321))+~P107(f334(f334(f248(x94321),x94325),x94326))+~P107(f334(f334(f248(x94321),x94323),x94326))+~P107(f334(f334(f248(x94321),f2(x94321)),x94324))+~P107(f334(f334(f248(x94321),f2(x94321)),x94322))+P107(f334(f334(f248(x94321),f334(f334(f89(x94321),f334(f334(f90(x94321),x94322),x94323)),f334(f334(f90(x94321),x94324),x94325))),x94326))
% 164.85/165.09 [9433]~P133(x94331)+~E(f334(f334(f89(x94331),x94332),x94334),f87(x94331))+~P107(f334(f334(f248(x94331),f2(x94331)),x94334))+~P107(f334(f334(f248(x94331),f2(x94331)),x94332))+~P107(f334(f334(f249(x94331),x94335),x94336))+~P107(f334(f334(f249(x94331),x94333),x94336))+P107(f334(f334(f249(x94331),f334(f334(f89(x94331),f334(f334(f90(x94331),x94332),x94333)),f334(f334(f90(x94331),x94334),x94335))),x94336))
% 164.85/165.09 [10276]~P6(x102767,x102766,x102765)+E(x102761,x102762)+~P10(x102767,f926(x102764,a913),x102765,x102763)+E(f334(x102763,f908(x102761,x102762,x102763,x102764,x102765,x102766,x102767)),f334(x102763,f909(x102761,x102762,x102763,x102764,x102765,x102766,x102767)))+~E(f334(f334(f48(x102767,f926(x102764,a913)),x102761),x102763),f334(f334(f48(x102767,f926(x102764,a913)),x102762),x102763))+~P107(f334(f334(f336(f926(x102767,a913)),x102762),f334(f334(f69(x102767),x102766),x102765)))+~P107(f334(f334(f336(f926(x102767,a913)),x102761),f334(f334(f69(x102767),x102766),x102765)))
% 164.85/165.09 [10314]~P6(x103143,x103147,x103146)+E(x103141,x103142)+~P10(x103143,f926(x103145,a913),x103146,x103144)+~E(f334(f334(f48(x103143,f926(x103145,a913)),x103141),x103144),f334(f334(f48(x103143,f926(x103145,a913)),x103142),x103144))+P107(f334(f334(f336(x103143),f909(x103141,x103142,x103144,x103145,x103146,x103147,x103143)),x103147))+~P107(f334(f334(f336(f926(x103143,a913)),x103142),f334(f334(f69(x103143),x103147),x103146)))+~P107(f334(f334(f336(f926(x103143,a913)),x103141),f334(f334(f69(x103143),x103147),x103146)))
% 164.85/165.09 [10315]~P6(x103153,x103157,x103156)+E(x103151,x103152)+~P10(x103153,f926(x103155,a913),x103156,x103154)+~E(f334(f334(f48(x103153,f926(x103155,a913)),x103151),x103154),f334(f334(f48(x103153,f926(x103155,a913)),x103152),x103154))+P107(f334(f334(f336(x103153),f908(x103151,x103152,x103154,x103155,x103156,x103157,x103153)),x103157))+~P107(f334(f334(f336(f926(x103153,a913)),x103152),f334(f334(f69(x103153),x103157),x103156)))+~P107(f334(f334(f336(f926(x103153,a913)),x103151),f334(f334(f69(x103153),x103157),x103156)))
% 164.85/165.09 [10397]E(x103971,x103972)+~P6(x103973,x103976,x103977)+~P10(x103973,f926(x103974,a913),x103977,x103975)+~E(f334(f334(f48(x103973,f926(x103974,a913)),x103971),x103975),f334(f334(f48(x103973,f926(x103974,a913)),x103972),x103975))+~P107(f334(f334(f336(f925(x103973,x103973)),f334(f334(f266(x103973,x103973),f909(x103971,x103972,x103975,x103974,x103977,x103976,x103973)),f908(x103971,x103972,x103975,x103974,x103977,x103976,x103973))),x103977))+~P107(f334(f334(f336(f926(x103973,a913)),x103972),f334(f334(f69(x103973),x103976),x103977)))+~P107(f334(f334(f336(f926(x103973,a913)),x103971),f334(f334(f69(x103973),x103976),x103977)))
% 164.85/165.09 [9254]~P6(x92541,x92547,x92544)+~E(x92545,x92546)+~P107(f334(f334(f336(x92541),x92543),x92546))+~P107(f334(f334(f336(x92541),x92542),x92545))+~P107(f334(f334(f336(f926(x92541,a913)),x92546),f334(f334(f69(x92541),x92547),x92544)))+~P107(f334(f334(f336(f926(x92541,a913)),x92545),f334(f334(f69(x92541),x92547),x92544)))+P107(f334(f334(f336(f925(x92541,x92541)),f334(f334(f266(x92541,x92541),x92542),x92543)),x92544))
% 164.85/165.09 [9387]E(x93871,x93872)+~P6(x93873,x93874,x93875)+~P107(f334(f334(f336(x93873),x93876),x93872))+~P107(f334(f334(f336(x93873),x93877),x93871))+~P107(f334(f334(f336(f926(x93873,a913)),x93872),f334(f334(f69(x93873),x93874),x93875)))+~P107(f334(f334(f336(f926(x93873,a913)),x93871),f334(f334(f69(x93873),x93874),x93875)))+~P107(f334(f334(f336(f925(x93873,x93873)),f334(f334(f266(x93873,x93873),x93877),x93876)),x93875))
% 164.85/165.09 [10421]~P6(x104219,x104218,x104217)+~P6(x104211,x1042111,x1042110)+~P11(x104211,x104219,f926(x104216,a913),x1042110,x104217,x104215)+P107(f334(f334(f336(x104211),f910(x104212,x104213,x104214,x104215,x104216,x104217,x104218,x104219,x1042110,x1042111,x104211)),x1042111))+~P107(f334(f334(f336(f926(x104219,a913)),x104213),f334(f334(f69(x104219),x104218),x104217)))+~P107(f334(f334(f336(f926(x104211,a913)),x104214),f334(f334(f69(x104211),x1042111),x1042110)))+P107(f334(f334(f336(f926(x104216,a913)),f334(f334(f48(x104211,f926(x104216,a913)),x104214),f334(f334(f8(f926(x104219,f926(x104216,a913)),f926(x104216,a913),x104211),f334(f48(x104219,f926(x104216,a913)),x104213)),x104215))),x104212))
% 164.85/165.09 [10422]~P6(x1042211,x1042210,x104229)+~P6(x104221,x104228,x104227)+~P11(x1042211,x104221,f926(x104226,a913),x104229,x104227,x104225)+P107(f334(f334(f336(x104221),f911(x104222,x104223,x104224,x104225,x104226,x104227,x104228,x104221,x104229,x1042210,x1042211)),x104228))+~P107(f334(f334(f336(f926(x1042211,a913)),x104224),f334(f334(f69(x1042211),x1042210),x104229)))+~P107(f334(f334(f336(f926(x104221,a913)),x104223),f334(f334(f69(x104221),x104228),x104227)))+P107(f334(f334(f336(f926(x104226,a913)),f334(f334(f48(x1042211,f926(x104226,a913)),x104224),f334(f334(f8(f926(x104221,f926(x104226,a913)),f926(x104226,a913),x1042211),f334(f48(x104221,f926(x104226,a913)),x104223)),x104225))),x104222))
% 164.85/165.09 [10425]~P6(x104252,x104258,x104259)+~P6(x104254,x1042510,x1042511)+~P11(x104252,x104254,f926(x104251,a913),x104259,x1042511,x104256)+~P107(f334(f334(f336(f926(x104252,a913)),x104253),f334(f334(f69(x104252),x104258),x104259)))+~P107(f334(f334(f336(f926(x104254,a913)),x104255),f334(f334(f69(x104254),x1042510),x1042511)))+~P107(f334(f334(f336(f926(x104251,a913)),f334(f334(x104256,f910(x104257,x104255,x104253,x104256,x104251,x1042511,x1042510,x104254,x104259,x104258,x104252)),f911(x104257,x104255,x104253,x104256,x104251,x1042511,x1042510,x104254,x104259,x104258,x104252))),x104257))+P107(f334(f334(f336(f926(x104251,a913)),f334(f334(f48(x104252,f926(x104251,a913)),x104253),f334(f334(f8(f926(x104254,f926(x104251,a913)),f926(x104251,a913),x104252),f334(f48(x104254,f926(x104251,a913)),x104255)),x104256))),x104257))
% 164.85/165.09 [9291]E(x92911,x92912)+~P110(x92914)+~P23(x92913,x92914,x92915,f334(f334(f123(f926(x92913,a913)),f334(f182(x92913),x92911)),f334(f182(x92913),x92912)))+~E(f334(f182(x92913),x92911),f334(f182(x92913),x92912))+~P12(x92914,f334(f334(f164(x92913,x92914),x92915),x92912))+~P12(x92914,f334(f334(f164(x92913,x92914),x92915),x92911))+~P107(f334(f147(x92914),f334(f334(f164(x92913,x92914),x92915),x92912)))+~P107(f334(f147(x92914),f334(f334(f164(x92913,x92914),x92915),x92911)))
% 164.85/165.09 %EqnAxiom
% 164.85/165.09 [1]E(x11,x11)
% 164.85/165.09 [2]E(x22,x21)+~E(x21,x22)
% 164.85/165.09 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 164.85/165.09 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 164.85/165.09 [5]~E(x51,x52)+E(f113(x51),f113(x52))
% 164.85/165.09 [6]~E(x61,x62)+E(f23(x61),f23(x62))
% 164.85/165.09 [7]~E(x71,x72)+E(f198(x71),f198(x72))
% 164.85/165.09 [8]~E(x81,x82)+E(f334(x81,x83),f334(x82,x83))
% 164.85/165.09 [9]~E(x91,x92)+E(f334(x93,x91),f334(x93,x92))
% 164.85/165.09 [10]~E(x101,x102)+E(f114(x101),f114(x102))
% 164.85/165.09 [11]~E(x111,x112)+E(f246(x111),f246(x112))
% 164.85/165.09 [12]~E(x121,x122)+E(f115(x121),f115(x122))
% 164.85/165.09 [13]~E(x131,x132)+E(f25(x131),f25(x132))
% 164.85/165.09 [14]~E(x141,x142)+E(f32(x141),f32(x142))
% 164.85/165.09 [15]~E(x151,x152)+E(f126(x151),f126(x152))
% 164.85/165.09 [16]~E(x161,x162)+E(f123(x161),f123(x162))
% 164.85/165.09 [17]~E(x171,x172)+E(f247(x171),f247(x172))
% 164.85/165.09 [18]~E(x181,x182)+E(f93(x181),f93(x182))
% 164.85/165.09 [19]~E(x191,x192)+E(f144(x191),f144(x192))
% 164.85/165.09 [20]~E(x201,x202)+E(f89(x201),f89(x202))
% 164.85/165.09 [21]~E(x211,x212)+E(f911(x211,x213,x214,x215,x216,x217,x218,x219,x2110,x2111,x2112),f911(x212,x213,x214,x215,x216,x217,x218,x219,x2110,x2111,x2112))
% 164.85/165.09 [22]~E(x221,x222)+E(f911(x223,x221,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212),f911(x223,x222,x224,x225,x226,x227,x228,x229,x2210,x2211,x2212))
% 164.85/165.09 [23]~E(x231,x232)+E(f911(x233,x234,x231,x235,x236,x237,x238,x239,x2310,x2311,x2312),f911(x233,x234,x232,x235,x236,x237,x238,x239,x2310,x2311,x2312))
% 164.85/165.09 [24]~E(x241,x242)+E(f911(x243,x244,x245,x241,x246,x247,x248,x249,x2410,x2411,x2412),f911(x243,x244,x245,x242,x246,x247,x248,x249,x2410,x2411,x2412))
% 164.85/165.09 [25]~E(x251,x252)+E(f911(x253,x254,x255,x256,x251,x257,x258,x259,x2510,x2511,x2512),f911(x253,x254,x255,x256,x252,x257,x258,x259,x2510,x2511,x2512))
% 164.85/165.09 [26]~E(x261,x262)+E(f911(x263,x264,x265,x266,x267,x261,x268,x269,x2610,x2611,x2612),f911(x263,x264,x265,x266,x267,x262,x268,x269,x2610,x2611,x2612))
% 164.85/165.09 [27]~E(x271,x272)+E(f911(x273,x274,x275,x276,x277,x278,x271,x279,x2710,x2711,x2712),f911(x273,x274,x275,x276,x277,x278,x272,x279,x2710,x2711,x2712))
% 164.85/165.09 [28]~E(x281,x282)+E(f911(x283,x284,x285,x286,x287,x288,x289,x281,x2810,x2811,x2812),f911(x283,x284,x285,x286,x287,x288,x289,x282,x2810,x2811,x2812))
% 164.85/165.09 [29]~E(x291,x292)+E(f911(x293,x294,x295,x296,x297,x298,x299,x2910,x291,x2911,x2912),f911(x293,x294,x295,x296,x297,x298,x299,x2910,x292,x2911,x2912))
% 164.85/165.09 [30]~E(x301,x302)+E(f911(x303,x304,x305,x306,x307,x308,x309,x3010,x3011,x301,x3012),f911(x303,x304,x305,x306,x307,x308,x309,x3010,x3011,x302,x3012))
% 164.85/165.09 [31]~E(x311,x312)+E(f911(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x3112,x311),f911(x313,x314,x315,x316,x317,x318,x319,x3110,x3111,x3112,x312))
% 164.85/165.09 [32]~E(x321,x322)+E(f87(x321),f87(x322))
% 164.85/165.09 [33]~E(x331,x332)+E(f920(x331),f920(x332))
% 164.85/165.09 [34]~E(x341,x342)+E(f910(x341,x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412),f910(x342,x343,x344,x345,x346,x347,x348,x349,x3410,x3411,x3412))
% 164.85/165.09 [35]~E(x351,x352)+E(f910(x353,x351,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512),f910(x353,x352,x354,x355,x356,x357,x358,x359,x3510,x3511,x3512))
% 164.85/165.09 [36]~E(x361,x362)+E(f910(x363,x364,x361,x365,x366,x367,x368,x369,x3610,x3611,x3612),f910(x363,x364,x362,x365,x366,x367,x368,x369,x3610,x3611,x3612))
% 164.85/165.09 [37]~E(x371,x372)+E(f910(x373,x374,x375,x371,x376,x377,x378,x379,x3710,x3711,x3712),f910(x373,x374,x375,x372,x376,x377,x378,x379,x3710,x3711,x3712))
% 164.85/165.09 [38]~E(x381,x382)+E(f910(x383,x384,x385,x386,x381,x387,x388,x389,x3810,x3811,x3812),f910(x383,x384,x385,x386,x382,x387,x388,x389,x3810,x3811,x3812))
% 164.85/165.09 [39]~E(x391,x392)+E(f910(x393,x394,x395,x396,x397,x391,x398,x399,x3910,x3911,x3912),f910(x393,x394,x395,x396,x397,x392,x398,x399,x3910,x3911,x3912))
% 164.85/165.09 [40]~E(x401,x402)+E(f910(x403,x404,x405,x406,x407,x408,x401,x409,x4010,x4011,x4012),f910(x403,x404,x405,x406,x407,x408,x402,x409,x4010,x4011,x4012))
% 164.85/165.09 [41]~E(x411,x412)+E(f910(x413,x414,x415,x416,x417,x418,x419,x411,x4110,x4111,x4112),f910(x413,x414,x415,x416,x417,x418,x419,x412,x4110,x4111,x4112))
% 164.85/165.09 [42]~E(x421,x422)+E(f910(x423,x424,x425,x426,x427,x428,x429,x4210,x421,x4211,x4212),f910(x423,x424,x425,x426,x427,x428,x429,x4210,x422,x4211,x4212))
% 164.85/165.09 [43]~E(x431,x432)+E(f910(x433,x434,x435,x436,x437,x438,x439,x4310,x4311,x431,x4312),f910(x433,x434,x435,x436,x437,x438,x439,x4310,x4311,x432,x4312))
% 164.85/165.09 [44]~E(x441,x442)+E(f910(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x4412,x441),f910(x443,x444,x445,x446,x447,x448,x449,x4410,x4411,x4412,x442))
% 164.85/165.09 [45]~E(x451,x452)+E(f124(x451),f124(x452))
% 164.85/165.09 [46]~E(x461,x462)+E(f336(x461),f336(x462))
% 164.85/165.09 [47]~E(x471,x472)+E(f926(x471,x473),f926(x472,x473))
% 164.85/165.09 [48]~E(x481,x482)+E(f926(x483,x481),f926(x483,x482))
% 164.85/165.09 [49]~E(x491,x492)+E(f4(x491),f4(x492))
% 164.85/165.09 [50]~E(x501,x502)+E(f8(x501,x503,x504),f8(x502,x503,x504))
% 164.85/165.09 [51]~E(x511,x512)+E(f8(x513,x511,x514),f8(x513,x512,x514))
% 164.85/165.09 [52]~E(x521,x522)+E(f8(x523,x524,x521),f8(x523,x524,x522))
% 164.85/165.09 [53]~E(x531,x532)+E(f918(x531),f918(x532))
% 164.85/165.09 [54]~E(x541,x542)+E(f923(x541),f923(x542))
% 164.85/165.09 [55]~E(x551,x552)+E(f249(x551),f249(x552))
% 164.85/165.09 [56]~E(x561,x562)+E(f921(x561),f921(x562))
% 164.85/165.09 [57]~E(x571,x572)+E(f36(x571),f36(x572))
% 164.85/165.09 [58]~E(x581,x582)+E(f38(x581),f38(x582))
% 164.85/165.09 [59]~E(x591,x592)+E(f161(x591),f161(x592))
% 164.85/165.09 [60]~E(x601,x602)+E(f37(x601),f37(x602))
% 164.85/165.09 [61]~E(x611,x612)+E(f84(x611),f84(x612))
% 164.85/165.09 [62]~E(x621,x622)+E(f266(x621,x623),f266(x622,x623))
% 164.85/165.09 [63]~E(x631,x632)+E(f266(x633,x631),f266(x633,x632))
% 164.85/165.09 [64]~E(x641,x642)+E(f88(x641),f88(x642))
% 164.85/165.09 [65]~E(x651,x652)+E(f797(x651,x653,x654),f797(x652,x653,x654))
% 164.85/165.09 [66]~E(x661,x662)+E(f797(x663,x661,x664),f797(x663,x662,x664))
% 164.85/165.09 [67]~E(x671,x672)+E(f797(x673,x674,x671),f797(x673,x674,x672))
% 164.85/165.09 [68]~E(x681,x682)+E(f199(x681),f199(x682))
% 164.85/165.09 [69]~E(x691,x692)+E(f70(x691),f70(x692))
% 164.85/165.09 [70]~E(x701,x702)+E(f116(x701),f116(x702))
% 164.85/165.09 [71]~E(x711,x712)+E(f322(x711,x713),f322(x712,x713))
% 164.85/165.09 [72]~E(x721,x722)+E(f322(x723,x721),f322(x723,x722))
% 164.85/165.09 [73]~E(x731,x732)+E(f69(x731),f69(x732))
% 164.85/165.09 [74]~E(x741,x742)+E(f455(x741,x743,x744,x745,x746,x747),f455(x742,x743,x744,x745,x746,x747))
% 164.85/165.09 [75]~E(x751,x752)+E(f455(x753,x751,x754,x755,x756,x757),f455(x753,x752,x754,x755,x756,x757))
% 164.85/165.09 [76]~E(x761,x762)+E(f455(x763,x764,x761,x765,x766,x767),f455(x763,x764,x762,x765,x766,x767))
% 164.85/165.09 [77]~E(x771,x772)+E(f455(x773,x774,x775,x771,x776,x777),f455(x773,x774,x775,x772,x776,x777))
% 164.85/165.09 [78]~E(x781,x782)+E(f455(x783,x784,x785,x786,x781,x787),f455(x783,x784,x785,x786,x782,x787))
% 164.85/165.09 [79]~E(x791,x792)+E(f455(x793,x794,x795,x796,x797,x791),f455(x793,x794,x795,x796,x797,x792))
% 164.85/165.09 [80]~E(x801,x802)+E(f77(x801,x803,x804),f77(x802,x803,x804))
% 164.85/165.09 [81]~E(x811,x812)+E(f77(x813,x811,x814),f77(x813,x812,x814))
% 164.85/165.10 [82]~E(x821,x822)+E(f77(x823,x824,x821),f77(x823,x824,x822))
% 164.85/165.10 [83]~E(x831,x832)+E(f925(x831,x833),f925(x832,x833))
% 164.85/165.10 [84]~E(x841,x842)+E(f925(x843,x841),f925(x843,x842))
% 164.85/165.10 [85]~E(x851,x852)+E(f256(x851),f256(x852))
% 164.85/165.10 [86]~E(x861,x862)+E(f779(x861,x863,x864,x865,x866),f779(x862,x863,x864,x865,x866))
% 164.85/165.10 [87]~E(x871,x872)+E(f779(x873,x871,x874,x875,x876),f779(x873,x872,x874,x875,x876))
% 164.85/165.10 [88]~E(x881,x882)+E(f779(x883,x884,x881,x885,x886),f779(x883,x884,x882,x885,x886))
% 164.85/165.10 [89]~E(x891,x892)+E(f779(x893,x894,x895,x891,x896),f779(x893,x894,x895,x892,x896))
% 164.85/165.10 [90]~E(x901,x902)+E(f779(x903,x904,x905,x906,x901),f779(x903,x904,x905,x906,x902))
% 164.85/165.10 [91]~E(x911,x912)+E(f7(x911,x913,x914),f7(x912,x913,x914))
% 164.85/165.10 [92]~E(x921,x922)+E(f7(x923,x921,x924),f7(x923,x922,x924))
% 164.85/165.10 [93]~E(x931,x932)+E(f7(x933,x934,x931),f7(x933,x934,x932))
% 164.85/165.10 [94]~E(x941,x942)+E(f6(x941,x943),f6(x942,x943))
% 164.85/165.10 [95]~E(x951,x952)+E(f6(x953,x951),f6(x953,x952))
% 164.85/165.10 [96]~E(x961,x962)+E(f248(x961),f248(x962))
% 164.85/165.10 [97]~E(x971,x972)+E(f294(x971,x973),f294(x972,x973))
% 164.85/165.10 [98]~E(x981,x982)+E(f294(x983,x981),f294(x983,x982))
% 164.85/165.10 [99]~E(x991,x992)+E(f316(x991),f316(x992))
% 164.85/165.10 [100]~E(x1001,x1002)+E(f187(x1001,x1003,x1004),f187(x1002,x1003,x1004))
% 164.85/165.10 [101]~E(x1011,x1012)+E(f187(x1013,x1011,x1014),f187(x1013,x1012,x1014))
% 164.85/165.10 [102]~E(x1021,x1022)+E(f187(x1023,x1024,x1021),f187(x1023,x1024,x1022))
% 164.85/165.10 [103]~E(x1031,x1032)+E(f310(x1031,x1033,x1034),f310(x1032,x1033,x1034))
% 164.85/165.10 [104]~E(x1041,x1042)+E(f310(x1043,x1041,x1044),f310(x1043,x1042,x1044))
% 164.85/165.10 [105]~E(x1051,x1052)+E(f310(x1053,x1054,x1051),f310(x1053,x1054,x1052))
% 164.85/165.10 [106]~E(x1061,x1062)+E(f182(x1061),f182(x1062))
% 164.85/165.10 [107]~E(x1071,x1072)+E(f90(x1071),f90(x1072))
% 164.85/165.10 [108]~E(x1081,x1082)+E(f297(x1081),f297(x1082))
% 164.85/165.10 [109]~E(x1091,x1092)+E(f45(x1091),f45(x1092))
% 164.85/165.10 [110]~E(x1101,x1102)+E(f18(x1101,x1103,x1104),f18(x1102,x1103,x1104))
% 164.85/165.10 [111]~E(x1111,x1112)+E(f18(x1113,x1111,x1114),f18(x1113,x1112,x1114))
% 164.85/165.10 [112]~E(x1121,x1122)+E(f18(x1123,x1124,x1121),f18(x1123,x1124,x1122))
% 164.85/165.10 [113]~E(x1131,x1132)+E(f164(x1131,x1133),f164(x1132,x1133))
% 164.85/165.10 [114]~E(x1141,x1142)+E(f164(x1143,x1141),f164(x1143,x1142))
% 164.85/165.10 [115]~E(x1151,x1152)+E(f254(x1151),f254(x1152))
% 164.85/165.10 [116]~E(x1161,x1162)+E(f44(x1161),f44(x1162))
% 164.85/165.10 [117]~E(x1171,x1172)+E(f258(x1171),f258(x1172))
% 164.85/165.10 [118]~E(x1181,x1182)+E(f48(x1181,x1183),f48(x1182,x1183))
% 164.85/165.10 [119]~E(x1191,x1192)+E(f48(x1193,x1191),f48(x1193,x1192))
% 164.85/165.10 [120]~E(x1201,x1202)+E(f180(x1201,x1203,x1204),f180(x1202,x1203,x1204))
% 164.85/165.10 [121]~E(x1211,x1212)+E(f180(x1213,x1211,x1214),f180(x1213,x1212,x1214))
% 164.85/165.10 [122]~E(x1221,x1222)+E(f180(x1223,x1224,x1221),f180(x1223,x1224,x1222))
% 164.85/165.10 [123]~E(x1231,x1232)+E(f12(x1231,x1233,x1234),f12(x1232,x1233,x1234))
% 164.85/165.10 [124]~E(x1241,x1242)+E(f12(x1243,x1241,x1244),f12(x1243,x1242,x1244))
% 164.85/165.10 [125]~E(x1251,x1252)+E(f12(x1253,x1254,x1251),f12(x1253,x1254,x1252))
% 164.85/165.10 [126]~E(x1261,x1262)+E(f49(x1261,x1263),f49(x1262,x1263))
% 164.85/165.10 [127]~E(x1271,x1272)+E(f49(x1273,x1271),f49(x1273,x1272))
% 164.85/165.10 [128]~E(x1281,x1282)+E(f314(x1281,x1283),f314(x1282,x1283))
% 164.85/165.10 [129]~E(x1291,x1292)+E(f314(x1293,x1291),f314(x1293,x1292))
% 164.85/165.10 [130]~E(x1301,x1302)+E(f740(x1301,x1303,x1304,x1305,x1306),f740(x1302,x1303,x1304,x1305,x1306))
% 164.85/165.10 [131]~E(x1311,x1312)+E(f740(x1313,x1311,x1314,x1315,x1316),f740(x1313,x1312,x1314,x1315,x1316))
% 164.85/165.10 [132]~E(x1321,x1322)+E(f740(x1323,x1324,x1321,x1325,x1326),f740(x1323,x1324,x1322,x1325,x1326))
% 164.85/165.10 [133]~E(x1331,x1332)+E(f740(x1333,x1334,x1335,x1331,x1336),f740(x1333,x1334,x1335,x1332,x1336))
% 164.85/165.10 [134]~E(x1341,x1342)+E(f740(x1343,x1344,x1345,x1346,x1341),f740(x1343,x1344,x1345,x1346,x1342))
% 164.85/165.10 [135]~E(x1351,x1352)+E(f681(x1351,x1353,x1354,x1355,x1356,x1357,x1358,x1359),f681(x1352,x1353,x1354,x1355,x1356,x1357,x1358,x1359))
% 164.85/165.10 [136]~E(x1361,x1362)+E(f681(x1363,x1361,x1364,x1365,x1366,x1367,x1368,x1369),f681(x1363,x1362,x1364,x1365,x1366,x1367,x1368,x1369))
% 164.85/165.10 [137]~E(x1371,x1372)+E(f681(x1373,x1374,x1371,x1375,x1376,x1377,x1378,x1379),f681(x1373,x1374,x1372,x1375,x1376,x1377,x1378,x1379))
% 164.85/165.10 [138]~E(x1381,x1382)+E(f681(x1383,x1384,x1385,x1381,x1386,x1387,x1388,x1389),f681(x1383,x1384,x1385,x1382,x1386,x1387,x1388,x1389))
% 164.85/165.10 [139]~E(x1391,x1392)+E(f681(x1393,x1394,x1395,x1396,x1391,x1397,x1398,x1399),f681(x1393,x1394,x1395,x1396,x1392,x1397,x1398,x1399))
% 164.85/165.10 [140]~E(x1401,x1402)+E(f681(x1403,x1404,x1405,x1406,x1407,x1401,x1408,x1409),f681(x1403,x1404,x1405,x1406,x1407,x1402,x1408,x1409))
% 164.85/165.10 [141]~E(x1411,x1412)+E(f681(x1413,x1414,x1415,x1416,x1417,x1418,x1411,x1419),f681(x1413,x1414,x1415,x1416,x1417,x1418,x1412,x1419))
% 164.85/165.10 [142]~E(x1421,x1422)+E(f681(x1423,x1424,x1425,x1426,x1427,x1428,x1429,x1421),f681(x1423,x1424,x1425,x1426,x1427,x1428,x1429,x1422))
% 164.85/165.10 [143]~E(x1431,x1432)+E(f349(x1431,x1433,x1434,x1435,x1436),f349(x1432,x1433,x1434,x1435,x1436))
% 164.85/165.10 [144]~E(x1441,x1442)+E(f349(x1443,x1441,x1444,x1445,x1446),f349(x1443,x1442,x1444,x1445,x1446))
% 164.85/165.10 [145]~E(x1451,x1452)+E(f349(x1453,x1454,x1451,x1455,x1456),f349(x1453,x1454,x1452,x1455,x1456))
% 164.85/165.10 [146]~E(x1461,x1462)+E(f349(x1463,x1464,x1465,x1461,x1466),f349(x1463,x1464,x1465,x1462,x1466))
% 164.85/165.10 [147]~E(x1471,x1472)+E(f349(x1473,x1474,x1475,x1476,x1471),f349(x1473,x1474,x1475,x1476,x1472))
% 164.85/165.10 [148]~E(x1481,x1482)+E(f65(x1481),f65(x1482))
% 164.85/165.10 [149]~E(x1491,x1492)+E(f863(x1491,x1493,x1494),f863(x1492,x1493,x1494))
% 164.85/165.10 [150]~E(x1501,x1502)+E(f863(x1503,x1501,x1504),f863(x1503,x1502,x1504))
% 164.85/165.10 [151]~E(x1511,x1512)+E(f863(x1513,x1514,x1511),f863(x1513,x1514,x1512))
% 164.85/165.10 [152]~E(x1521,x1522)+E(f204(x1521),f204(x1522))
% 164.85/165.10 [153]~E(x1531,x1532)+E(f9(x1531,x1533),f9(x1532,x1533))
% 164.85/165.10 [154]~E(x1541,x1542)+E(f9(x1543,x1541),f9(x1543,x1542))
% 164.85/165.10 [155]~E(x1551,x1552)+E(f28(x1551,x1553),f28(x1552,x1553))
% 164.85/165.10 [156]~E(x1561,x1562)+E(f28(x1563,x1561),f28(x1563,x1562))
% 164.85/165.10 [157]~E(x1571,x1572)+E(f167(x1571,x1573),f167(x1572,x1573))
% 164.85/165.10 [158]~E(x1581,x1582)+E(f167(x1583,x1581),f167(x1583,x1582))
% 164.85/165.10 [159]~E(x1591,x1592)+E(f178(x1591),f178(x1592))
% 164.85/165.10 [160]~E(x1601,x1602)+E(f152(x1601,x1603,x1604,x1605),f152(x1602,x1603,x1604,x1605))
% 164.85/165.10 [161]~E(x1611,x1612)+E(f152(x1613,x1611,x1614,x1615),f152(x1613,x1612,x1614,x1615))
% 164.85/165.10 [162]~E(x1621,x1622)+E(f152(x1623,x1624,x1621,x1625),f152(x1623,x1624,x1622,x1625))
% 164.85/165.10 [163]~E(x1631,x1632)+E(f152(x1633,x1634,x1635,x1631),f152(x1633,x1634,x1635,x1632))
% 164.85/165.10 [164]~E(x1641,x1642)+E(f866(x1641,x1643),f866(x1642,x1643))
% 164.85/165.10 [165]~E(x1651,x1652)+E(f866(x1653,x1651),f866(x1653,x1652))
% 164.85/165.10 [166]~E(x1661,x1662)+E(f118(x1661),f118(x1662))
% 164.85/165.10 [167]~E(x1671,x1672)+E(f119(x1671),f119(x1672))
% 164.85/165.10 [168]~E(x1681,x1682)+E(f335(x1681),f335(x1682))
% 164.85/165.10 [169]~E(x1691,x1692)+E(f261(x1691,x1693),f261(x1692,x1693))
% 164.85/165.10 [170]~E(x1701,x1702)+E(f261(x1703,x1701),f261(x1703,x1702))
% 164.85/165.10 [171]~E(x1711,x1712)+E(f296(x1711,x1713,x1714),f296(x1712,x1713,x1714))
% 164.85/165.10 [172]~E(x1721,x1722)+E(f296(x1723,x1721,x1724),f296(x1723,x1722,x1724))
% 164.85/165.10 [173]~E(x1731,x1732)+E(f296(x1733,x1734,x1731),f296(x1733,x1734,x1732))
% 164.85/165.10 [174]~E(x1741,x1742)+E(f54(x1741,x1743,x1744),f54(x1742,x1743,x1744))
% 164.85/165.10 [175]~E(x1751,x1752)+E(f54(x1753,x1751,x1754),f54(x1753,x1752,x1754))
% 164.85/165.10 [176]~E(x1761,x1762)+E(f54(x1763,x1764,x1761),f54(x1763,x1764,x1762))
% 164.85/165.10 [177]~E(x1771,x1772)+E(f73(x1771,x1773,x1774),f73(x1772,x1773,x1774))
% 164.85/165.10 [178]~E(x1781,x1782)+E(f73(x1783,x1781,x1784),f73(x1783,x1782,x1784))
% 164.85/165.10 [179]~E(x1791,x1792)+E(f73(x1793,x1794,x1791),f73(x1793,x1794,x1792))
% 164.85/165.10 [180]~E(x1801,x1802)+E(f155(x1801,x1803),f155(x1802,x1803))
% 164.85/165.10 [181]~E(x1811,x1812)+E(f155(x1813,x1811),f155(x1813,x1812))
% 164.85/165.10 [182]~E(x1821,x1822)+E(f524(x1821,x1823,x1824),f524(x1822,x1823,x1824))
% 164.85/165.10 [183]~E(x1831,x1832)+E(f524(x1833,x1831,x1834),f524(x1833,x1832,x1834))
% 164.85/165.10 [184]~E(x1841,x1842)+E(f524(x1843,x1844,x1841),f524(x1843,x1844,x1842))
% 164.85/165.10 [185]~E(x1851,x1852)+E(f5(x1851),f5(x1852))
% 164.85/165.10 [186]~E(x1861,x1862)+E(f185(x1861),f185(x1862))
% 164.85/165.10 [187]~E(x1871,x1872)+E(f861(x1871,x1873,x1874),f861(x1872,x1873,x1874))
% 164.85/165.10 [188]~E(x1881,x1882)+E(f861(x1883,x1881,x1884),f861(x1883,x1882,x1884))
% 164.85/165.10 [189]~E(x1891,x1892)+E(f861(x1893,x1894,x1891),f861(x1893,x1894,x1892))
% 164.85/165.10 [190]~E(x1901,x1902)+E(f270(x1901,x1903,x1904),f270(x1902,x1903,x1904))
% 164.85/165.10 [191]~E(x1911,x1912)+E(f270(x1913,x1911,x1914),f270(x1913,x1912,x1914))
% 164.85/165.10 [192]~E(x1921,x1922)+E(f270(x1923,x1924,x1921),f270(x1923,x1924,x1922))
% 164.85/165.10 [193]~E(x1931,x1932)+E(f851(x1931,x1933),f851(x1932,x1933))
% 164.85/165.10 [194]~E(x1941,x1942)+E(f851(x1943,x1941),f851(x1943,x1942))
% 164.85/165.10 [195]~E(x1951,x1952)+E(f604(x1951,x1953,x1954),f604(x1952,x1953,x1954))
% 164.85/165.10 [196]~E(x1961,x1962)+E(f604(x1963,x1961,x1964),f604(x1963,x1962,x1964))
% 164.85/165.10 [197]~E(x1971,x1972)+E(f604(x1973,x1974,x1971),f604(x1973,x1974,x1972))
% 164.85/165.10 [198]~E(x1981,x1982)+E(f690(x1981,x1983,x1984,x1985,x1986),f690(x1982,x1983,x1984,x1985,x1986))
% 164.85/165.10 [199]~E(x1991,x1992)+E(f690(x1993,x1991,x1994,x1995,x1996),f690(x1993,x1992,x1994,x1995,x1996))
% 164.85/165.10 [200]~E(x2001,x2002)+E(f690(x2003,x2004,x2001,x2005,x2006),f690(x2003,x2004,x2002,x2005,x2006))
% 164.85/165.10 [201]~E(x2011,x2012)+E(f690(x2013,x2014,x2015,x2011,x2016),f690(x2013,x2014,x2015,x2012,x2016))
% 164.85/165.10 [202]~E(x2021,x2022)+E(f690(x2023,x2024,x2025,x2026,x2021),f690(x2023,x2024,x2025,x2026,x2022))
% 164.85/165.10 [203]~E(x2031,x2032)+E(f736(x2031,x2033,x2034),f736(x2032,x2033,x2034))
% 164.85/165.10 [204]~E(x2041,x2042)+E(f736(x2043,x2041,x2044),f736(x2043,x2042,x2044))
% 164.85/165.10 [205]~E(x2051,x2052)+E(f736(x2053,x2054,x2051),f736(x2053,x2054,x2052))
% 164.85/165.10 [206]~E(x2061,x2062)+E(f81(x2061,x2063,x2064,x2065),f81(x2062,x2063,x2064,x2065))
% 164.85/165.10 [207]~E(x2071,x2072)+E(f81(x2073,x2071,x2074,x2075),f81(x2073,x2072,x2074,x2075))
% 164.85/165.10 [208]~E(x2081,x2082)+E(f81(x2083,x2084,x2081,x2085),f81(x2083,x2084,x2082,x2085))
% 164.85/165.10 [209]~E(x2091,x2092)+E(f81(x2093,x2094,x2095,x2091),f81(x2093,x2094,x2095,x2092))
% 164.85/165.10 [210]~E(x2101,x2102)+E(f268(x2101,x2103),f268(x2102,x2103))
% 164.85/165.10 [211]~E(x2111,x2112)+E(f268(x2113,x2111),f268(x2113,x2112))
% 164.85/165.10 [212]~E(x2121,x2122)+E(f57(x2121,x2123),f57(x2122,x2123))
% 164.85/165.10 [213]~E(x2131,x2132)+E(f57(x2133,x2131),f57(x2133,x2132))
% 164.85/165.10 [214]~E(x2141,x2142)+E(f10(x2141,x2143),f10(x2142,x2143))
% 164.85/165.10 [215]~E(x2151,x2152)+E(f10(x2153,x2151),f10(x2153,x2152))
% 164.85/165.10 [216]~E(x2161,x2162)+E(f293(x2161,x2163,x2164),f293(x2162,x2163,x2164))
% 164.85/165.10 [217]~E(x2171,x2172)+E(f293(x2173,x2171,x2174),f293(x2173,x2172,x2174))
% 164.85/165.10 [218]~E(x2181,x2182)+E(f293(x2183,x2184,x2181),f293(x2183,x2184,x2182))
% 164.85/165.10 [219]~E(x2191,x2192)+E(f148(x2191),f148(x2192))
% 164.85/165.10 [220]~E(x2201,x2202)+E(f64(x2201,x2203,x2204),f64(x2202,x2203,x2204))
% 164.85/165.10 [221]~E(x2211,x2212)+E(f64(x2213,x2211,x2214),f64(x2213,x2212,x2214))
% 164.85/165.10 [222]~E(x2221,x2222)+E(f64(x2223,x2224,x2221),f64(x2223,x2224,x2222))
% 164.85/165.10 [223]~E(x2231,x2232)+E(f462(x2231,x2233,x2234,x2235),f462(x2232,x2233,x2234,x2235))
% 164.85/165.10 [224]~E(x2241,x2242)+E(f462(x2243,x2241,x2244,x2245),f462(x2243,x2242,x2244,x2245))
% 164.85/165.10 [225]~E(x2251,x2252)+E(f462(x2253,x2254,x2251,x2255),f462(x2253,x2254,x2252,x2255))
% 164.85/165.10 [226]~E(x2261,x2262)+E(f462(x2263,x2264,x2265,x2261),f462(x2263,x2264,x2265,x2262))
% 164.85/165.10 [227]~E(x2271,x2272)+E(f315(x2271),f315(x2272))
% 164.85/165.10 [228]~E(x2281,x2282)+E(f52(x2281),f52(x2282))
% 164.85/165.10 [229]~E(x2291,x2292)+E(f13(x2291,x2293,x2294),f13(x2292,x2293,x2294))
% 164.85/165.10 [230]~E(x2301,x2302)+E(f13(x2303,x2301,x2304),f13(x2303,x2302,x2304))
% 164.85/165.10 [231]~E(x2311,x2312)+E(f13(x2313,x2314,x2311),f13(x2313,x2314,x2312))
% 164.85/165.10 [232]~E(x2321,x2322)+E(f309(x2321,x2323),f309(x2322,x2323))
% 164.85/165.10 [233]~E(x2331,x2332)+E(f309(x2333,x2331),f309(x2333,x2332))
% 164.85/165.10 [234]~E(x2341,x2342)+E(f154(x2341,x2343),f154(x2342,x2343))
% 164.85/165.10 [235]~E(x2351,x2352)+E(f154(x2353,x2351),f154(x2353,x2352))
% 164.85/165.10 [236]~E(x2361,x2362)+E(f109(x2361),f109(x2362))
% 164.85/165.10 [237]~E(x2371,x2372)+E(f195(x2371,x2373,x2374,x2375),f195(x2372,x2373,x2374,x2375))
% 164.85/165.10 [238]~E(x2381,x2382)+E(f195(x2383,x2381,x2384,x2385),f195(x2383,x2382,x2384,x2385))
% 164.85/165.10 [239]~E(x2391,x2392)+E(f195(x2393,x2394,x2391,x2395),f195(x2393,x2394,x2392,x2395))
% 164.85/165.10 [240]~E(x2401,x2402)+E(f195(x2403,x2404,x2405,x2401),f195(x2403,x2404,x2405,x2402))
% 164.85/165.10 [241]~E(x2411,x2412)+E(f292(x2411,x2413),f292(x2412,x2413))
% 164.85/165.10 [242]~E(x2421,x2422)+E(f292(x2423,x2421),f292(x2423,x2422))
% 164.85/165.10 [243]~E(x2431,x2432)+E(f46(x2431,x2433),f46(x2432,x2433))
% 164.85/165.10 [244]~E(x2441,x2442)+E(f46(x2443,x2441),f46(x2443,x2442))
% 164.85/165.10 [245]~E(x2451,x2452)+E(f174(x2451),f174(x2452))
% 164.85/165.10 [246]~E(x2461,x2462)+E(f269(x2461,x2463),f269(x2462,x2463))
% 164.85/165.10 [247]~E(x2471,x2472)+E(f269(x2473,x2471),f269(x2473,x2472))
% 164.85/165.10 [248]~E(x2481,x2482)+E(f317(x2481,x2483,x2484),f317(x2482,x2483,x2484))
% 164.85/165.10 [249]~E(x2491,x2492)+E(f317(x2493,x2491,x2494),f317(x2493,x2492,x2494))
% 164.85/165.10 [250]~E(x2501,x2502)+E(f317(x2503,x2504,x2501),f317(x2503,x2504,x2502))
% 164.85/165.10 [251]~E(x2511,x2512)+E(f410(x2511,x2513,x2514,x2515),f410(x2512,x2513,x2514,x2515))
% 164.85/165.10 [252]~E(x2521,x2522)+E(f410(x2523,x2521,x2524,x2525),f410(x2523,x2522,x2524,x2525))
% 164.85/165.10 [253]~E(x2531,x2532)+E(f410(x2533,x2534,x2531,x2535),f410(x2533,x2534,x2532,x2535))
% 164.85/165.10 [254]~E(x2541,x2542)+E(f410(x2543,x2544,x2545,x2541),f410(x2543,x2544,x2545,x2542))
% 164.85/165.10 [255]~E(x2551,x2552)+E(f318(x2551,x2553,x2554),f318(x2552,x2553,x2554))
% 164.85/165.10 [256]~E(x2561,x2562)+E(f318(x2563,x2561,x2564),f318(x2563,x2562,x2564))
% 164.85/165.10 [257]~E(x2571,x2572)+E(f318(x2573,x2574,x2571),f318(x2573,x2574,x2572))
% 164.85/165.10 [258]~E(x2581,x2582)+E(f326(x2581,x2583),f326(x2582,x2583))
% 164.85/165.10 [259]~E(x2591,x2592)+E(f326(x2593,x2591),f326(x2593,x2592))
% 164.85/165.10 [260]~E(x2601,x2602)+E(f540(x2601,x2603),f540(x2602,x2603))
% 164.85/165.10 [261]~E(x2611,x2612)+E(f540(x2613,x2611),f540(x2613,x2612))
% 164.85/165.10 [262]~E(x2621,x2622)+E(f72(x2621,x2623),f72(x2622,x2623))
% 164.85/165.10 [263]~E(x2631,x2632)+E(f72(x2633,x2631),f72(x2633,x2632))
% 164.85/165.10 [264]~E(x2641,x2642)+E(f59(x2641,x2643),f59(x2642,x2643))
% 164.85/165.10 [265]~E(x2651,x2652)+E(f59(x2653,x2651),f59(x2653,x2652))
% 164.85/165.10 [266]~E(x2661,x2662)+E(f55(x2661,x2663),f55(x2662,x2663))
% 164.85/165.10 [267]~E(x2671,x2672)+E(f55(x2673,x2671),f55(x2673,x2672))
% 164.85/165.10 [268]~E(x2681,x2682)+E(f127(x2681,x2683),f127(x2682,x2683))
% 164.85/165.10 [269]~E(x2691,x2692)+E(f127(x2693,x2691),f127(x2693,x2692))
% 164.85/165.10 [270]~E(x2701,x2702)+E(f160(x2701,x2703,x2704,x2705),f160(x2702,x2703,x2704,x2705))
% 164.85/165.10 [271]~E(x2711,x2712)+E(f160(x2713,x2711,x2714,x2715),f160(x2713,x2712,x2714,x2715))
% 164.85/165.10 [272]~E(x2721,x2722)+E(f160(x2723,x2724,x2721,x2725),f160(x2723,x2724,x2722,x2725))
% 164.85/165.10 [273]~E(x2731,x2732)+E(f160(x2733,x2734,x2735,x2731),f160(x2733,x2734,x2735,x2732))
% 164.85/165.10 [274]~E(x2741,x2742)+E(f257(x2741,x2743,x2744),f257(x2742,x2743,x2744))
% 164.85/165.10 [275]~E(x2751,x2752)+E(f257(x2753,x2751,x2754),f257(x2753,x2752,x2754))
% 164.85/165.10 [276]~E(x2761,x2762)+E(f257(x2763,x2764,x2761),f257(x2763,x2764,x2762))
% 164.85/165.10 [277]~E(x2771,x2772)+E(f162(x2771,x2773),f162(x2772,x2773))
% 164.85/165.10 [278]~E(x2781,x2782)+E(f162(x2783,x2781),f162(x2783,x2782))
% 164.85/165.10 [279]~E(x2791,x2792)+E(f169(x2791,x2793),f169(x2792,x2793))
% 164.85/165.10 [280]~E(x2801,x2802)+E(f169(x2803,x2801),f169(x2803,x2802))
% 164.85/165.10 [281]~E(x2811,x2812)+E(f201(x2811),f201(x2812))
% 164.85/165.10 [282]~E(x2821,x2822)+E(f856(x2821,x2823,x2824),f856(x2822,x2823,x2824))
% 164.85/165.10 [283]~E(x2831,x2832)+E(f856(x2833,x2831,x2834),f856(x2833,x2832,x2834))
% 164.85/165.10 [284]~E(x2841,x2842)+E(f856(x2843,x2844,x2841),f856(x2843,x2844,x2842))
% 164.85/165.10 [285]~E(x2851,x2852)+E(f128(x2851),f128(x2852))
% 164.85/165.10 [286]~E(x2861,x2862)+E(f320(x2861,x2863,x2864,x2865),f320(x2862,x2863,x2864,x2865))
% 164.85/165.10 [287]~E(x2871,x2872)+E(f320(x2873,x2871,x2874,x2875),f320(x2873,x2872,x2874,x2875))
% 164.85/165.10 [288]~E(x2881,x2882)+E(f320(x2883,x2884,x2881,x2885),f320(x2883,x2884,x2882,x2885))
% 164.85/165.10 [289]~E(x2891,x2892)+E(f320(x2893,x2894,x2895,x2891),f320(x2893,x2894,x2895,x2892))
% 164.85/165.10 [290]~E(x2901,x2902)+E(f91(x2901,x2903),f91(x2902,x2903))
% 164.85/165.10 [291]~E(x2911,x2912)+E(f91(x2913,x2911),f91(x2913,x2912))
% 164.85/165.10 [292]~E(x2921,x2922)+E(f510(x2921,x2923,x2924),f510(x2922,x2923,x2924))
% 164.85/165.10 [293]~E(x2931,x2932)+E(f510(x2933,x2931,x2934),f510(x2933,x2932,x2934))
% 164.85/165.10 [294]~E(x2941,x2942)+E(f510(x2943,x2944,x2941),f510(x2943,x2944,x2942))
% 164.85/165.10 [295]~E(x2951,x2952)+E(f101(x2951,x2953,x2954,x2955),f101(x2952,x2953,x2954,x2955))
% 164.85/165.10 [296]~E(x2961,x2962)+E(f101(x2963,x2961,x2964,x2965),f101(x2963,x2962,x2964,x2965))
% 164.85/165.10 [297]~E(x2971,x2972)+E(f101(x2973,x2974,x2971,x2975),f101(x2973,x2974,x2972,x2975))
% 164.85/165.10 [298]~E(x2981,x2982)+E(f101(x2983,x2984,x2985,x2981),f101(x2983,x2984,x2985,x2982))
% 164.85/165.10 [299]~E(x2991,x2992)+E(f75(x2991,x2993,x2994,x2995,x2996),f75(x2992,x2993,x2994,x2995,x2996))
% 164.85/165.10 [300]~E(x3001,x3002)+E(f75(x3003,x3001,x3004,x3005,x3006),f75(x3003,x3002,x3004,x3005,x3006))
% 164.85/165.10 [301]~E(x3011,x3012)+E(f75(x3013,x3014,x3011,x3015,x3016),f75(x3013,x3014,x3012,x3015,x3016))
% 164.85/165.10 [302]~E(x3021,x3022)+E(f75(x3023,x3024,x3025,x3021,x3026),f75(x3023,x3024,x3025,x3022,x3026))
% 164.85/165.10 [303]~E(x3031,x3032)+E(f75(x3033,x3034,x3035,x3036,x3031),f75(x3033,x3034,x3035,x3036,x3032))
% 164.85/165.10 [304]~E(x3041,x3042)+E(f454(x3041,x3043,x3044,x3045,x3046,x3047),f454(x3042,x3043,x3044,x3045,x3046,x3047))
% 164.85/165.10 [305]~E(x3051,x3052)+E(f454(x3053,x3051,x3054,x3055,x3056,x3057),f454(x3053,x3052,x3054,x3055,x3056,x3057))
% 164.85/165.10 [306]~E(x3061,x3062)+E(f454(x3063,x3064,x3061,x3065,x3066,x3067),f454(x3063,x3064,x3062,x3065,x3066,x3067))
% 164.85/165.10 [307]~E(x3071,x3072)+E(f454(x3073,x3074,x3075,x3071,x3076,x3077),f454(x3073,x3074,x3075,x3072,x3076,x3077))
% 164.85/165.10 [308]~E(x3081,x3082)+E(f454(x3083,x3084,x3085,x3086,x3081,x3087),f454(x3083,x3084,x3085,x3086,x3082,x3087))
% 164.85/165.10 [309]~E(x3091,x3092)+E(f454(x3093,x3094,x3095,x3096,x3097,x3091),f454(x3093,x3094,x3095,x3096,x3097,x3092))
% 164.85/165.10 [310]~E(x3101,x3102)+E(f71(x3101,x3103,x3104),f71(x3102,x3103,x3104))
% 164.85/165.10 [311]~E(x3111,x3112)+E(f71(x3113,x3111,x3114),f71(x3113,x3112,x3114))
% 164.85/165.10 [312]~E(x3121,x3122)+E(f71(x3123,x3124,x3121),f71(x3123,x3124,x3122))
% 164.85/165.10 [313]~E(x3131,x3132)+E(f265(x3131,x3133),f265(x3132,x3133))
% 164.85/165.10 [314]~E(x3141,x3142)+E(f265(x3143,x3141),f265(x3143,x3142))
% 164.85/165.10 [315]~E(x3151,x3152)+E(f74(x3151,x3153,x3154),f74(x3152,x3153,x3154))
% 164.85/165.10 [316]~E(x3161,x3162)+E(f74(x3163,x3161,x3164),f74(x3163,x3162,x3164))
% 164.85/165.10 [317]~E(x3171,x3172)+E(f74(x3173,x3174,x3171),f74(x3173,x3174,x3172))
% 164.85/165.10 [318]~E(x3181,x3182)+E(f193(x3181,x3183),f193(x3182,x3183))
% 164.85/165.10 [319]~E(x3191,x3192)+E(f193(x3193,x3191),f193(x3193,x3192))
% 164.85/165.10 [320]~E(x3201,x3202)+E(f289(x3201),f289(x3202))
% 164.85/165.10 [321]~E(x3211,x3212)+E(f927(x3211,x3213),f927(x3212,x3213))
% 164.85/165.10 [322]~E(x3221,x3222)+E(f927(x3223,x3221),f927(x3223,x3222))
% 164.85/165.10 [323]~E(x3231,x3232)+E(f924(x3231,x3233),f924(x3232,x3233))
% 164.85/165.10 [324]~E(x3241,x3242)+E(f924(x3243,x3241),f924(x3243,x3242))
% 164.85/165.10 [325]~E(x3251,x3252)+E(f177(x3251),f177(x3252))
% 164.85/165.10 [326]~E(x3261,x3262)+E(f873(x3261,x3263,x3264,x3265),f873(x3262,x3263,x3264,x3265))
% 164.85/165.10 [327]~E(x3271,x3272)+E(f873(x3273,x3271,x3274,x3275),f873(x3273,x3272,x3274,x3275))
% 164.85/165.10 [328]~E(x3281,x3282)+E(f873(x3283,x3284,x3281,x3285),f873(x3283,x3284,x3282,x3285))
% 164.85/165.10 [329]~E(x3291,x3292)+E(f873(x3293,x3294,x3295,x3291),f873(x3293,x3294,x3295,x3292))
% 164.85/165.10 [330]~E(x3301,x3302)+E(f16(x3301,x3303),f16(x3302,x3303))
% 164.85/165.10 [331]~E(x3311,x3312)+E(f16(x3313,x3311),f16(x3313,x3312))
% 164.85/165.10 [332]~E(x3321,x3322)+E(f56(x3321,x3323),f56(x3322,x3323))
% 164.85/165.10 [333]~E(x3331,x3332)+E(f56(x3333,x3331),f56(x3333,x3332))
% 164.85/165.10 [334]~E(x3341,x3342)+E(f181(x3341),f181(x3342))
% 164.85/165.10 [335]~E(x3351,x3352)+E(f31(x3351,x3353,x3354),f31(x3352,x3353,x3354))
% 164.85/165.10 [336]~E(x3361,x3362)+E(f31(x3363,x3361,x3364),f31(x3363,x3362,x3364))
% 164.85/165.10 [337]~E(x3371,x3372)+E(f31(x3373,x3374,x3371),f31(x3373,x3374,x3372))
% 164.85/165.10 [338]~E(x3381,x3382)+E(f580(x3381,x3383,x3384,x3385),f580(x3382,x3383,x3384,x3385))
% 164.85/165.10 [339]~E(x3391,x3392)+E(f580(x3393,x3391,x3394,x3395),f580(x3393,x3392,x3394,x3395))
% 164.85/165.10 [340]~E(x3401,x3402)+E(f580(x3403,x3404,x3401,x3405),f580(x3403,x3404,x3402,x3405))
% 164.85/165.10 [341]~E(x3411,x3412)+E(f580(x3413,x3414,x3415,x3411),f580(x3413,x3414,x3415,x3412))
% 164.85/165.10 [342]~E(x3421,x3422)+E(f881(x3421),f881(x3422))
% 164.85/165.10 [343]~E(x3431,x3432)+E(f15(x3431,x3433),f15(x3432,x3433))
% 164.85/165.10 [344]~E(x3441,x3442)+E(f15(x3443,x3441),f15(x3443,x3442))
% 164.85/165.10 [345]~E(x3451,x3452)+E(f475(x3451,x3453,x3454,x3455,x3456),f475(x3452,x3453,x3454,x3455,x3456))
% 164.85/165.10 [346]~E(x3461,x3462)+E(f475(x3463,x3461,x3464,x3465,x3466),f475(x3463,x3462,x3464,x3465,x3466))
% 164.85/165.10 [347]~E(x3471,x3472)+E(f475(x3473,x3474,x3471,x3475,x3476),f475(x3473,x3474,x3472,x3475,x3476))
% 164.85/165.10 [348]~E(x3481,x3482)+E(f475(x3483,x3484,x3485,x3481,x3486),f475(x3483,x3484,x3485,x3482,x3486))
% 164.85/165.10 [349]~E(x3491,x3492)+E(f475(x3493,x3494,x3495,x3496,x3491),f475(x3493,x3494,x3495,x3496,x3492))
% 164.85/165.10 [350]~E(x3501,x3502)+E(f131(x3501,x3503,x3504),f131(x3502,x3503,x3504))
% 164.85/165.10 [351]~E(x3511,x3512)+E(f131(x3513,x3511,x3514),f131(x3513,x3512,x3514))
% 164.85/165.10 [352]~E(x3521,x3522)+E(f131(x3523,x3524,x3521),f131(x3523,x3524,x3522))
% 164.85/165.10 [353]~E(x3531,x3532)+E(f168(x3531,x3533),f168(x3532,x3533))
% 164.85/165.10 [354]~E(x3541,x3542)+E(f168(x3543,x3541),f168(x3543,x3542))
% 164.85/165.10 [355]~E(x3551,x3552)+E(f421(x3551,x3553),f421(x3552,x3553))
% 164.85/165.10 [356]~E(x3561,x3562)+E(f421(x3563,x3561),f421(x3563,x3562))
% 164.85/165.10 [357]~E(x3571,x3572)+E(f146(x3571,x3573),f146(x3572,x3573))
% 164.85/165.10 [358]~E(x3581,x3582)+E(f146(x3583,x3581),f146(x3583,x3582))
% 164.85/165.10 [359]~E(x3591,x3592)+E(f717(x3591,x3593,x3594),f717(x3592,x3593,x3594))
% 164.85/165.10 [360]~E(x3601,x3602)+E(f717(x3603,x3601,x3604),f717(x3603,x3602,x3604))
% 164.85/165.10 [361]~E(x3611,x3612)+E(f717(x3613,x3614,x3611),f717(x3613,x3614,x3612))
% 164.85/165.10 [362]~E(x3621,x3622)+E(f108(x3621,x3623,x3624,x3625),f108(x3622,x3623,x3624,x3625))
% 164.85/165.10 [363]~E(x3631,x3632)+E(f108(x3633,x3631,x3634,x3635),f108(x3633,x3632,x3634,x3635))
% 164.85/165.10 [364]~E(x3641,x3642)+E(f108(x3643,x3644,x3641,x3645),f108(x3643,x3644,x3642,x3645))
% 164.85/165.10 [365]~E(x3651,x3652)+E(f108(x3653,x3654,x3655,x3651),f108(x3653,x3654,x3655,x3652))
% 164.85/165.10 [366]~E(x3661,x3662)+E(f742(x3661,x3663,x3664,x3665,x3666),f742(x3662,x3663,x3664,x3665,x3666))
% 164.85/165.10 [367]~E(x3671,x3672)+E(f742(x3673,x3671,x3674,x3675,x3676),f742(x3673,x3672,x3674,x3675,x3676))
% 164.85/165.10 [368]~E(x3681,x3682)+E(f742(x3683,x3684,x3681,x3685,x3686),f742(x3683,x3684,x3682,x3685,x3686))
% 164.85/165.10 [369]~E(x3691,x3692)+E(f742(x3693,x3694,x3695,x3691,x3696),f742(x3693,x3694,x3695,x3692,x3696))
% 164.85/165.10 [370]~E(x3701,x3702)+E(f742(x3703,x3704,x3705,x3706,x3701),f742(x3703,x3704,x3705,x3706,x3702))
% 164.85/165.10 [371]~E(x3711,x3712)+E(f149(x3711,x3713),f149(x3712,x3713))
% 164.85/165.10 [372]~E(x3721,x3722)+E(f149(x3723,x3721),f149(x3723,x3722))
% 164.85/165.10 [373]~E(x3731,x3732)+E(f83(x3731,x3733,x3734,x3735,x3736),f83(x3732,x3733,x3734,x3735,x3736))
% 164.85/165.10 [374]~E(x3741,x3742)+E(f83(x3743,x3741,x3744,x3745,x3746),f83(x3743,x3742,x3744,x3745,x3746))
% 164.85/165.10 [375]~E(x3751,x3752)+E(f83(x3753,x3754,x3751,x3755,x3756),f83(x3753,x3754,x3752,x3755,x3756))
% 164.85/165.10 [376]~E(x3761,x3762)+E(f83(x3763,x3764,x3765,x3761,x3766),f83(x3763,x3764,x3765,x3762,x3766))
% 164.85/165.10 [377]~E(x3771,x3772)+E(f83(x3773,x3774,x3775,x3776,x3771),f83(x3773,x3774,x3775,x3776,x3772))
% 164.85/165.10 [378]~E(x3781,x3782)+E(f189(x3781,x3783),f189(x3782,x3783))
% 164.85/165.10 [379]~E(x3791,x3792)+E(f189(x3793,x3791),f189(x3793,x3792))
% 164.85/165.10 [380]~E(x3801,x3802)+E(f325(x3801,x3803),f325(x3802,x3803))
% 164.85/165.10 [381]~E(x3811,x3812)+E(f325(x3813,x3811),f325(x3813,x3812))
% 164.85/165.10 [382]~E(x3821,x3822)+E(f569(x3821,x3823),f569(x3822,x3823))
% 164.85/165.10 [383]~E(x3831,x3832)+E(f569(x3833,x3831),f569(x3833,x3832))
% 164.85/165.10 [384]~E(x3841,x3842)+E(f799(x3841,x3843,x3844),f799(x3842,x3843,x3844))
% 164.85/165.10 [385]~E(x3851,x3852)+E(f799(x3853,x3851,x3854),f799(x3853,x3852,x3854))
% 164.85/165.10 [386]~E(x3861,x3862)+E(f799(x3863,x3864,x3861),f799(x3863,x3864,x3862))
% 164.85/165.10 [387]~E(x3871,x3872)+E(f492(x3871,x3873),f492(x3872,x3873))
% 164.85/165.10 [388]~E(x3881,x3882)+E(f492(x3883,x3881),f492(x3883,x3882))
% 164.85/165.10 [389]~E(x3891,x3892)+E(f147(x3891),f147(x3892))
% 164.85/165.10 [390]~E(x3901,x3902)+E(f33(x3901,x3903),f33(x3902,x3903))
% 164.85/165.10 [391]~E(x3911,x3912)+E(f33(x3913,x3911),f33(x3913,x3912))
% 164.85/165.10 [392]~E(x3921,x3922)+E(f34(x3921,x3923),f34(x3922,x3923))
% 164.85/165.10 [393]~E(x3931,x3932)+E(f34(x3933,x3931),f34(x3933,x3932))
% 164.85/165.10 [394]~E(x3941,x3942)+E(f175(x3941),f175(x3942))
% 164.85/165.10 [395]~E(x3951,x3952)+E(f862(x3951,x3953,x3954),f862(x3952,x3953,x3954))
% 164.85/165.10 [396]~E(x3961,x3962)+E(f862(x3963,x3961,x3964),f862(x3963,x3962,x3964))
% 164.85/165.10 [397]~E(x3971,x3972)+E(f862(x3973,x3974,x3971),f862(x3973,x3974,x3972))
% 164.85/165.10 [398]~E(x3981,x3982)+E(f244(x3981,x3983,x3984),f244(x3982,x3983,x3984))
% 164.85/165.10 [399]~E(x3991,x3992)+E(f244(x3993,x3991,x3994),f244(x3993,x3992,x3994))
% 164.85/165.10 [400]~E(x4001,x4002)+E(f244(x4003,x4004,x4001),f244(x4003,x4004,x4002))
% 164.85/165.10 [401]~E(x4011,x4012)+E(f688(x4011,x4013,x4014,x4015,x4016),f688(x4012,x4013,x4014,x4015,x4016))
% 164.85/165.10 [402]~E(x4021,x4022)+E(f688(x4023,x4021,x4024,x4025,x4026),f688(x4023,x4022,x4024,x4025,x4026))
% 164.85/165.10 [403]~E(x4031,x4032)+E(f688(x4033,x4034,x4031,x4035,x4036),f688(x4033,x4034,x4032,x4035,x4036))
% 164.85/165.10 [404]~E(x4041,x4042)+E(f688(x4043,x4044,x4045,x4041,x4046),f688(x4043,x4044,x4045,x4042,x4046))
% 164.85/165.10 [405]~E(x4051,x4052)+E(f688(x4053,x4054,x4055,x4056,x4051),f688(x4053,x4054,x4055,x4056,x4052))
% 164.85/165.10 [406]~E(x4061,x4062)+E(f58(x4061,x4063),f58(x4062,x4063))
% 164.85/165.10 [407]~E(x4071,x4072)+E(f58(x4073,x4071),f58(x4073,x4072))
% 164.85/165.10 [408]~E(x4081,x4082)+E(f815(x4081,x4083,x4084),f815(x4082,x4083,x4084))
% 164.85/165.10 [409]~E(x4091,x4092)+E(f815(x4093,x4091,x4094),f815(x4093,x4092,x4094))
% 164.85/165.10 [410]~E(x4101,x4102)+E(f815(x4103,x4104,x4101),f815(x4103,x4104,x4102))
% 164.85/165.10 [411]~E(x4111,x4112)+E(f47(x4111,x4113),f47(x4112,x4113))
% 164.85/165.10 [412]~E(x4121,x4122)+E(f47(x4123,x4121),f47(x4123,x4122))
% 164.85/165.10 [413]~E(x4131,x4132)+E(f271(x4131,x4133,x4134,x4135,x4136,x4137),f271(x4132,x4133,x4134,x4135,x4136,x4137))
% 164.85/165.10 [414]~E(x4141,x4142)+E(f271(x4143,x4141,x4144,x4145,x4146,x4147),f271(x4143,x4142,x4144,x4145,x4146,x4147))
% 164.85/165.10 [415]~E(x4151,x4152)+E(f271(x4153,x4154,x4151,x4155,x4156,x4157),f271(x4153,x4154,x4152,x4155,x4156,x4157))
% 164.85/165.10 [416]~E(x4161,x4162)+E(f271(x4163,x4164,x4165,x4161,x4166,x4167),f271(x4163,x4164,x4165,x4162,x4166,x4167))
% 164.85/165.10 [417]~E(x4171,x4172)+E(f271(x4173,x4174,x4175,x4176,x4171,x4177),f271(x4173,x4174,x4175,x4176,x4172,x4177))
% 164.85/165.10 [418]~E(x4181,x4182)+E(f271(x4183,x4184,x4185,x4186,x4187,x4181),f271(x4183,x4184,x4185,x4186,x4187,x4182))
% 164.85/165.10 [419]~E(x4191,x4192)+E(f684(x4191,x4193,x4194,x4195,x4196,x4197,x4198,x4199),f684(x4192,x4193,x4194,x4195,x4196,x4197,x4198,x4199))
% 164.85/165.10 [420]~E(x4201,x4202)+E(f684(x4203,x4201,x4204,x4205,x4206,x4207,x4208,x4209),f684(x4203,x4202,x4204,x4205,x4206,x4207,x4208,x4209))
% 164.85/165.10 [421]~E(x4211,x4212)+E(f684(x4213,x4214,x4211,x4215,x4216,x4217,x4218,x4219),f684(x4213,x4214,x4212,x4215,x4216,x4217,x4218,x4219))
% 164.85/165.10 [422]~E(x4221,x4222)+E(f684(x4223,x4224,x4225,x4221,x4226,x4227,x4228,x4229),f684(x4223,x4224,x4225,x4222,x4226,x4227,x4228,x4229))
% 164.85/165.10 [423]~E(x4231,x4232)+E(f684(x4233,x4234,x4235,x4236,x4231,x4237,x4238,x4239),f684(x4233,x4234,x4235,x4236,x4232,x4237,x4238,x4239))
% 164.85/165.10 [424]~E(x4241,x4242)+E(f684(x4243,x4244,x4245,x4246,x4247,x4241,x4248,x4249),f684(x4243,x4244,x4245,x4246,x4247,x4242,x4248,x4249))
% 164.85/165.10 [425]~E(x4251,x4252)+E(f684(x4253,x4254,x4255,x4256,x4257,x4258,x4251,x4259),f684(x4253,x4254,x4255,x4256,x4257,x4258,x4252,x4259))
% 164.85/165.10 [426]~E(x4261,x4262)+E(f684(x4263,x4264,x4265,x4266,x4267,x4268,x4269,x4261),f684(x4263,x4264,x4265,x4266,x4267,x4268,x4269,x4262))
% 164.85/165.10 [427]~E(x4271,x4272)+E(f825(x4271,x4273,x4274),f825(x4272,x4273,x4274))
% 164.85/165.10 [428]~E(x4281,x4282)+E(f825(x4283,x4281,x4284),f825(x4283,x4282,x4284))
% 164.85/165.10 [429]~E(x4291,x4292)+E(f825(x4293,x4294,x4291),f825(x4293,x4294,x4292))
% 164.85/165.10 [430]~E(x4301,x4302)+E(f472(x4301,x4303,x4304,x4305,x4306),f472(x4302,x4303,x4304,x4305,x4306))
% 164.85/165.10 [431]~E(x4311,x4312)+E(f472(x4313,x4311,x4314,x4315,x4316),f472(x4313,x4312,x4314,x4315,x4316))
% 164.85/165.10 [432]~E(x4321,x4322)+E(f472(x4323,x4324,x4321,x4325,x4326),f472(x4323,x4324,x4322,x4325,x4326))
% 164.85/165.10 [433]~E(x4331,x4332)+E(f472(x4333,x4334,x4335,x4331,x4336),f472(x4333,x4334,x4335,x4332,x4336))
% 164.85/165.10 [434]~E(x4341,x4342)+E(f472(x4343,x4344,x4345,x4346,x4341),f472(x4343,x4344,x4345,x4346,x4342))
% 164.85/165.10 [435]~E(x4351,x4352)+E(f295(x4351,x4353),f295(x4352,x4353))
% 164.85/165.10 [436]~E(x4361,x4362)+E(f295(x4363,x4361),f295(x4363,x4362))
% 164.85/165.10 [437]~E(x4371,x4372)+E(f94(x4371,x4373),f94(x4372,x4373))
% 164.85/165.10 [438]~E(x4381,x4382)+E(f94(x4383,x4381),f94(x4383,x4382))
% 164.85/165.10 [439]~E(x4391,x4392)+E(f212(x4391,x4393,x4394,x4395),f212(x4392,x4393,x4394,x4395))
% 164.85/165.10 [440]~E(x4401,x4402)+E(f212(x4403,x4401,x4404,x4405),f212(x4403,x4402,x4404,x4405))
% 164.85/165.10 [441]~E(x4411,x4412)+E(f212(x4413,x4414,x4411,x4415),f212(x4413,x4414,x4412,x4415))
% 164.85/165.10 [442]~E(x4421,x4422)+E(f212(x4423,x4424,x4425,x4421),f212(x4423,x4424,x4425,x4422))
% 164.85/165.10 [443]~E(x4431,x4432)+E(f99(x4431,x4433),f99(x4432,x4433))
% 164.85/165.10 [444]~E(x4441,x4442)+E(f99(x4443,x4441),f99(x4443,x4442))
% 164.85/165.10 [445]~E(x4451,x4452)+E(f188(x4451,x4453),f188(x4452,x4453))
% 164.85/165.10 [446]~E(x4461,x4462)+E(f188(x4463,x4461),f188(x4463,x4462))
% 164.85/165.10 [447]~E(x4471,x4472)+E(f163(x4471,x4473),f163(x4472,x4473))
% 164.85/165.10 [448]~E(x4481,x4482)+E(f163(x4483,x4481),f163(x4483,x4482))
% 164.85/165.10 [449]~E(x4491,x4492)+E(f255(x4491,x4493),f255(x4492,x4493))
% 164.85/165.10 [450]~E(x4501,x4502)+E(f255(x4503,x4501),f255(x4503,x4502))
% 164.85/165.10 [451]~E(x4511,x4512)+E(f141(x4511,x4513,x4514,x4515),f141(x4512,x4513,x4514,x4515))
% 164.85/165.10 [452]~E(x4521,x4522)+E(f141(x4523,x4521,x4524,x4525),f141(x4523,x4522,x4524,x4525))
% 164.85/165.10 [453]~E(x4531,x4532)+E(f141(x4533,x4534,x4531,x4535),f141(x4533,x4534,x4532,x4535))
% 164.85/165.10 [454]~E(x4541,x4542)+E(f141(x4543,x4544,x4545,x4541),f141(x4543,x4544,x4545,x4542))
% 164.85/165.10 [455]~E(x4551,x4552)+E(f179(x4551,x4553,x4554),f179(x4552,x4553,x4554))
% 164.85/165.10 [456]~E(x4561,x4562)+E(f179(x4563,x4561,x4564),f179(x4563,x4562,x4564))
% 164.85/165.10 [457]~E(x4571,x4572)+E(f179(x4573,x4574,x4571),f179(x4573,x4574,x4572))
% 164.85/165.10 [458]~E(x4581,x4582)+E(f95(x4581,x4583),f95(x4582,x4583))
% 164.85/165.10 [459]~E(x4591,x4592)+E(f95(x4593,x4591),f95(x4593,x4592))
% 164.85/165.10 [460]~E(x4601,x4602)+E(f460(x4601,x4603,x4604),f460(x4602,x4603,x4604))
% 164.85/165.10 [461]~E(x4611,x4612)+E(f460(x4613,x4611,x4614),f460(x4613,x4612,x4614))
% 164.85/165.10 [462]~E(x4621,x4622)+E(f460(x4623,x4624,x4621),f460(x4623,x4624,x4622))
% 164.85/165.10 [463]~E(x4631,x4632)+E(f859(x4631,x4633,x4634),f859(x4632,x4633,x4634))
% 164.85/165.10 [464]~E(x4641,x4642)+E(f859(x4643,x4641,x4644),f859(x4643,x4642,x4644))
% 164.85/165.10 [465]~E(x4651,x4652)+E(f859(x4653,x4654,x4651),f859(x4653,x4654,x4652))
% 164.85/165.10 [466]~E(x4661,x4662)+E(f323(x4661,x4663),f323(x4662,x4663))
% 164.85/165.10 [467]~E(x4671,x4672)+E(f323(x4673,x4671),f323(x4673,x4672))
% 164.85/165.10 [468]~E(x4681,x4682)+E(f709(x4681,x4683,x4684,x4685),f709(x4682,x4683,x4684,x4685))
% 164.85/165.10 [469]~E(x4691,x4692)+E(f709(x4693,x4691,x4694,x4695),f709(x4693,x4692,x4694,x4695))
% 164.85/165.10 [470]~E(x4701,x4702)+E(f709(x4703,x4704,x4701,x4705),f709(x4703,x4704,x4702,x4705))
% 164.85/165.10 [471]~E(x4711,x4712)+E(f709(x4713,x4714,x4715,x4711),f709(x4713,x4714,x4715,x4712))
% 164.85/165.10 [472]~E(x4721,x4722)+E(f858(x4721,x4723,x4724,x4725),f858(x4722,x4723,x4724,x4725))
% 164.85/165.10 [473]~E(x4731,x4732)+E(f858(x4733,x4731,x4734,x4735),f858(x4733,x4732,x4734,x4735))
% 164.85/165.10 [474]~E(x4741,x4742)+E(f858(x4743,x4744,x4741,x4745),f858(x4743,x4744,x4742,x4745))
% 164.85/165.10 [475]~E(x4751,x4752)+E(f858(x4753,x4754,x4755,x4751),f858(x4753,x4754,x4755,x4752))
% 164.85/165.10 [476]~E(x4761,x4762)+E(f132(x4761),f132(x4762))
% 164.85/165.10 [477]~E(x4771,x4772)+E(f264(x4771,x4773),f264(x4772,x4773))
% 164.85/165.10 [478]~E(x4781,x4782)+E(f264(x4783,x4781),f264(x4783,x4782))
% 164.85/165.10 [479]~E(x4791,x4792)+E(f682(x4791,x4793,x4794,x4795),f682(x4792,x4793,x4794,x4795))
% 164.85/165.10 [480]~E(x4801,x4802)+E(f682(x4803,x4801,x4804,x4805),f682(x4803,x4802,x4804,x4805))
% 164.85/165.10 [481]~E(x4811,x4812)+E(f682(x4813,x4814,x4811,x4815),f682(x4813,x4814,x4812,x4815))
% 164.85/165.10 [482]~E(x4821,x4822)+E(f682(x4823,x4824,x4825,x4821),f682(x4823,x4824,x4825,x4822))
% 164.85/165.10 [483]~E(x4831,x4832)+E(f755(x4831,x4833,x4834,x4835,x4836),f755(x4832,x4833,x4834,x4835,x4836))
% 164.85/165.10 [484]~E(x4841,x4842)+E(f755(x4843,x4841,x4844,x4845,x4846),f755(x4843,x4842,x4844,x4845,x4846))
% 164.85/165.10 [485]~E(x4851,x4852)+E(f755(x4853,x4854,x4851,x4855,x4856),f755(x4853,x4854,x4852,x4855,x4856))
% 164.85/165.10 [486]~E(x4861,x4862)+E(f755(x4863,x4864,x4865,x4861,x4866),f755(x4863,x4864,x4865,x4862,x4866))
% 164.85/165.10 [487]~E(x4871,x4872)+E(f755(x4873,x4874,x4875,x4876,x4871),f755(x4873,x4874,x4875,x4876,x4872))
% 164.85/165.10 [488]~E(x4881,x4882)+E(f312(x4881,x4883,x4884),f312(x4882,x4883,x4884))
% 164.85/165.10 [489]~E(x4891,x4892)+E(f312(x4893,x4891,x4894),f312(x4893,x4892,x4894))
% 164.85/165.10 [490]~E(x4901,x4902)+E(f312(x4903,x4904,x4901),f312(x4903,x4904,x4902))
% 164.85/165.10 [491]~E(x4911,x4912)+E(f151(x4911),f151(x4912))
% 164.85/165.10 [492]~E(x4921,x4922)+E(f191(x4921,x4923),f191(x4922,x4923))
% 164.85/165.10 [493]~E(x4931,x4932)+E(f191(x4933,x4931),f191(x4933,x4932))
% 164.85/165.10 [494]~E(x4941,x4942)+E(f288(x4941,x4943,x4944,x4945),f288(x4942,x4943,x4944,x4945))
% 164.85/165.10 [495]~E(x4951,x4952)+E(f288(x4953,x4951,x4954,x4955),f288(x4953,x4952,x4954,x4955))
% 164.85/165.10 [496]~E(x4961,x4962)+E(f288(x4963,x4964,x4961,x4965),f288(x4963,x4964,x4962,x4965))
% 164.85/165.10 [497]~E(x4971,x4972)+E(f288(x4973,x4974,x4975,x4971),f288(x4973,x4974,x4975,x4972))
% 164.85/165.10 [498]~E(x4981,x4982)+E(f14(x4981,x4983),f14(x4982,x4983))
% 164.85/165.10 [499]~E(x4991,x4992)+E(f14(x4993,x4991),f14(x4993,x4992))
% 164.85/165.10 [500]~E(x5001,x5002)+E(f100(x5001),f100(x5002))
% 164.85/165.10 [501]~E(x5011,x5012)+E(f308(x5011),f308(x5012))
% 164.85/165.10 [502]~E(x5021,x5022)+E(f663(x5021,x5023,x5024,x5025),f663(x5022,x5023,x5024,x5025))
% 164.85/165.10 [503]~E(x5031,x5032)+E(f663(x5033,x5031,x5034,x5035),f663(x5033,x5032,x5034,x5035))
% 164.85/165.10 [504]~E(x5041,x5042)+E(f663(x5043,x5044,x5041,x5045),f663(x5043,x5044,x5042,x5045))
% 164.85/165.10 [505]~E(x5051,x5052)+E(f663(x5053,x5054,x5055,x5051),f663(x5053,x5054,x5055,x5052))
% 164.85/165.10 [506]~E(x5061,x5062)+E(f432(x5061,x5063,x5064,x5065),f432(x5062,x5063,x5064,x5065))
% 164.85/165.10 [507]~E(x5071,x5072)+E(f432(x5073,x5071,x5074,x5075),f432(x5073,x5072,x5074,x5075))
% 164.85/165.10 [508]~E(x5081,x5082)+E(f432(x5083,x5084,x5081,x5085),f432(x5083,x5084,x5082,x5085))
% 164.85/165.10 [509]~E(x5091,x5092)+E(f432(x5093,x5094,x5095,x5091),f432(x5093,x5094,x5095,x5092))
% 164.85/165.10 [510]~E(x5101,x5102)+E(f417(x5101,x5103,x5104),f417(x5102,x5103,x5104))
% 164.85/165.10 [511]~E(x5111,x5112)+E(f417(x5113,x5111,x5114),f417(x5113,x5112,x5114))
% 164.85/165.10 [512]~E(x5121,x5122)+E(f417(x5123,x5124,x5121),f417(x5123,x5124,x5122))
% 164.85/165.10 [513]~E(x5131,x5132)+E(f748(x5131,x5133),f748(x5132,x5133))
% 164.85/165.10 [514]~E(x5141,x5142)+E(f748(x5143,x5141),f748(x5143,x5142))
% 164.85/165.10 [515]~E(x5151,x5152)+E(f611(x5151,x5153,x5154,x5155,x5156),f611(x5152,x5153,x5154,x5155,x5156))
% 164.85/165.10 [516]~E(x5161,x5162)+E(f611(x5163,x5161,x5164,x5165,x5166),f611(x5163,x5162,x5164,x5165,x5166))
% 164.85/165.10 [517]~E(x5171,x5172)+E(f611(x5173,x5174,x5171,x5175,x5176),f611(x5173,x5174,x5172,x5175,x5176))
% 164.85/165.10 [518]~E(x5181,x5182)+E(f611(x5183,x5184,x5185,x5181,x5186),f611(x5183,x5184,x5185,x5182,x5186))
% 164.85/165.10 [519]~E(x5191,x5192)+E(f611(x5193,x5194,x5195,x5196,x5191),f611(x5193,x5194,x5195,x5196,x5192))
% 164.85/165.10 [520]~E(x5201,x5202)+E(f697(x5201,x5203,x5204,x5205),f697(x5202,x5203,x5204,x5205))
% 164.85/165.10 [521]~E(x5211,x5212)+E(f697(x5213,x5211,x5214,x5215),f697(x5213,x5212,x5214,x5215))
% 164.85/165.10 [522]~E(x5221,x5222)+E(f697(x5223,x5224,x5221,x5225),f697(x5223,x5224,x5222,x5225))
% 164.85/165.10 [523]~E(x5231,x5232)+E(f697(x5233,x5234,x5235,x5231),f697(x5233,x5234,x5235,x5232))
% 164.85/165.10 [524]~E(x5241,x5242)+E(f698(x5241,x5243,x5244,x5245,x5246,x5247),f698(x5242,x5243,x5244,x5245,x5246,x5247))
% 164.85/165.10 [525]~E(x5251,x5252)+E(f698(x5253,x5251,x5254,x5255,x5256,x5257),f698(x5253,x5252,x5254,x5255,x5256,x5257))
% 164.85/165.10 [526]~E(x5261,x5262)+E(f698(x5263,x5264,x5261,x5265,x5266,x5267),f698(x5263,x5264,x5262,x5265,x5266,x5267))
% 164.85/165.10 [527]~E(x5271,x5272)+E(f698(x5273,x5274,x5275,x5271,x5276,x5277),f698(x5273,x5274,x5275,x5272,x5276,x5277))
% 164.85/165.10 [528]~E(x5281,x5282)+E(f698(x5283,x5284,x5285,x5286,x5281,x5287),f698(x5283,x5284,x5285,x5286,x5282,x5287))
% 164.85/165.10 [529]~E(x5291,x5292)+E(f698(x5293,x5294,x5295,x5296,x5297,x5291),f698(x5293,x5294,x5295,x5296,x5297,x5292))
% 164.85/165.10 [530]~E(x5301,x5302)+E(f321(x5301),f321(x5302))
% 164.85/165.10 [531]~E(x5311,x5312)+E(f343(x5311,x5313,x5314,x5315,x5316),f343(x5312,x5313,x5314,x5315,x5316))
% 164.85/165.10 [532]~E(x5321,x5322)+E(f343(x5323,x5321,x5324,x5325,x5326),f343(x5323,x5322,x5324,x5325,x5326))
% 164.85/165.10 [533]~E(x5331,x5332)+E(f343(x5333,x5334,x5331,x5335,x5336),f343(x5333,x5334,x5332,x5335,x5336))
% 164.85/165.10 [534]~E(x5341,x5342)+E(f343(x5343,x5344,x5345,x5341,x5346),f343(x5343,x5344,x5345,x5342,x5346))
% 164.85/165.10 [535]~E(x5351,x5352)+E(f343(x5353,x5354,x5355,x5356,x5351),f343(x5353,x5354,x5355,x5356,x5352))
% 164.85/165.10 [536]~E(x5361,x5362)+E(f368(x5361,x5363,x5364),f368(x5362,x5363,x5364))
% 164.85/165.10 [537]~E(x5371,x5372)+E(f368(x5373,x5371,x5374),f368(x5373,x5372,x5374))
% 164.85/165.10 [538]~E(x5381,x5382)+E(f368(x5383,x5384,x5381),f368(x5383,x5384,x5382))
% 164.85/165.10 [539]~E(x5391,x5392)+E(f414(x5391,x5393),f414(x5392,x5393))
% 164.85/165.10 [540]~E(x5401,x5402)+E(f414(x5403,x5401),f414(x5403,x5402))
% 164.85/165.10 [541]~E(x5411,x5412)+E(f593(x5411,x5413),f593(x5412,x5413))
% 164.85/165.10 [542]~E(x5421,x5422)+E(f593(x5423,x5421),f593(x5423,x5422))
% 164.85/165.10 [543]~E(x5431,x5432)+E(f804(x5431,x5433,x5434,x5435,x5436),f804(x5432,x5433,x5434,x5435,x5436))
% 164.85/165.10 [544]~E(x5441,x5442)+E(f804(x5443,x5441,x5444,x5445,x5446),f804(x5443,x5442,x5444,x5445,x5446))
% 164.85/165.10 [545]~E(x5451,x5452)+E(f804(x5453,x5454,x5451,x5455,x5456),f804(x5453,x5454,x5452,x5455,x5456))
% 164.85/165.10 [546]~E(x5461,x5462)+E(f804(x5463,x5464,x5465,x5461,x5466),f804(x5463,x5464,x5465,x5462,x5466))
% 164.85/165.10 [547]~E(x5471,x5472)+E(f804(x5473,x5474,x5475,x5476,x5471),f804(x5473,x5474,x5475,x5476,x5472))
% 164.85/165.10 [548]~E(x5481,x5482)+E(f482(x5481,x5483,x5484,x5485,x5486,x5487),f482(x5482,x5483,x5484,x5485,x5486,x5487))
% 164.85/165.10 [549]~E(x5491,x5492)+E(f482(x5493,x5491,x5494,x5495,x5496,x5497),f482(x5493,x5492,x5494,x5495,x5496,x5497))
% 164.85/165.10 [550]~E(x5501,x5502)+E(f482(x5503,x5504,x5501,x5505,x5506,x5507),f482(x5503,x5504,x5502,x5505,x5506,x5507))
% 164.85/165.10 [551]~E(x5511,x5512)+E(f482(x5513,x5514,x5515,x5511,x5516,x5517),f482(x5513,x5514,x5515,x5512,x5516,x5517))
% 164.85/165.10 [552]~E(x5521,x5522)+E(f482(x5523,x5524,x5525,x5526,x5521,x5527),f482(x5523,x5524,x5525,x5526,x5522,x5527))
% 164.85/165.10 [553]~E(x5531,x5532)+E(f482(x5533,x5534,x5535,x5536,x5537,x5531),f482(x5533,x5534,x5535,x5536,x5537,x5532))
% 164.85/165.10 [554]~E(x5541,x5542)+E(f579(x5541,x5543,x5544,x5545),f579(x5542,x5543,x5544,x5545))
% 164.85/165.10 [555]~E(x5551,x5552)+E(f579(x5553,x5551,x5554,x5555),f579(x5553,x5552,x5554,x5555))
% 164.85/165.10 [556]~E(x5561,x5562)+E(f579(x5563,x5564,x5561,x5565),f579(x5563,x5564,x5562,x5565))
% 164.85/165.10 [557]~E(x5571,x5572)+E(f579(x5573,x5574,x5575,x5571),f579(x5573,x5574,x5575,x5572))
% 164.85/165.10 [558]~E(x5581,x5582)+E(f796(x5581,x5583),f796(x5582,x5583))
% 164.85/165.10 [559]~E(x5591,x5592)+E(f796(x5593,x5591),f796(x5593,x5592))
% 164.85/165.10 [560]~E(x5601,x5602)+E(f290(x5601),f290(x5602))
% 164.85/165.10 [561]~E(x5611,x5612)+E(f319(x5611,x5613),f319(x5612,x5613))
% 164.85/165.10 [562]~E(x5621,x5622)+E(f319(x5623,x5621),f319(x5623,x5622))
% 164.85/165.10 [563]~E(x5631,x5632)+E(f532(x5631,x5633),f532(x5632,x5633))
% 164.85/165.10 [564]~E(x5641,x5642)+E(f532(x5643,x5641),f532(x5643,x5642))
% 164.85/165.10 [565]~E(x5651,x5652)+E(f327(x5651,x5653,x5654,x5655),f327(x5652,x5653,x5654,x5655))
% 164.85/165.10 [566]~E(x5661,x5662)+E(f327(x5663,x5661,x5664,x5665),f327(x5663,x5662,x5664,x5665))
% 164.85/165.10 [567]~E(x5671,x5672)+E(f327(x5673,x5674,x5671,x5675),f327(x5673,x5674,x5672,x5675))
% 164.85/165.10 [568]~E(x5681,x5682)+E(f327(x5683,x5684,x5685,x5681),f327(x5683,x5684,x5685,x5682))
% 164.85/165.10 [569]~E(x5691,x5692)+E(f499(x5691,x5693),f499(x5692,x5693))
% 164.85/165.10 [570]~E(x5701,x5702)+E(f499(x5703,x5701),f499(x5703,x5702))
% 164.85/165.10 [571]~E(x5711,x5712)+E(f291(x5711),f291(x5712))
% 164.85/165.10 [572]~E(x5721,x5722)+E(f666(x5721,x5723,x5724),f666(x5722,x5723,x5724))
% 164.85/165.10 [573]~E(x5731,x5732)+E(f666(x5733,x5731,x5734),f666(x5733,x5732,x5734))
% 164.85/165.10 [574]~E(x5741,x5742)+E(f666(x5743,x5744,x5741),f666(x5743,x5744,x5742))
% 164.85/165.10 [575]~E(x5751,x5752)+E(f458(x5751,x5753,x5754),f458(x5752,x5753,x5754))
% 164.85/165.10 [576]~E(x5761,x5762)+E(f458(x5763,x5761,x5764),f458(x5763,x5762,x5764))
% 164.85/165.10 [577]~E(x5771,x5772)+E(f458(x5773,x5774,x5771),f458(x5773,x5774,x5772))
% 164.85/165.10 [578]~E(x5781,x5782)+E(f723(x5781,x5783,x5784,x5785),f723(x5782,x5783,x5784,x5785))
% 164.85/165.10 [579]~E(x5791,x5792)+E(f723(x5793,x5791,x5794,x5795),f723(x5793,x5792,x5794,x5795))
% 164.85/165.10 [580]~E(x5801,x5802)+E(f723(x5803,x5804,x5801,x5805),f723(x5803,x5804,x5802,x5805))
% 164.85/165.10 [581]~E(x5811,x5812)+E(f723(x5813,x5814,x5815,x5811),f723(x5813,x5814,x5815,x5812))
% 164.85/165.10 [582]~E(x5821,x5822)+E(f158(x5821,x5823,x5824),f158(x5822,x5823,x5824))
% 164.85/165.10 [583]~E(x5831,x5832)+E(f158(x5833,x5831,x5834),f158(x5833,x5832,x5834))
% 164.85/165.10 [584]~E(x5841,x5842)+E(f158(x5843,x5844,x5841),f158(x5843,x5844,x5842))
% 164.85/165.10 [585]~E(x5851,x5852)+E(f11(x5851,x5853),f11(x5852,x5853))
% 164.85/165.10 [586]~E(x5861,x5862)+E(f11(x5863,x5861),f11(x5863,x5862))
% 164.85/165.10 [587]~E(x5871,x5872)+E(f764(x5871,x5873,x5874),f764(x5872,x5873,x5874))
% 164.85/165.10 [588]~E(x5881,x5882)+E(f764(x5883,x5881,x5884),f764(x5883,x5882,x5884))
% 164.85/165.10 [589]~E(x5891,x5892)+E(f764(x5893,x5894,x5891),f764(x5893,x5894,x5892))
% 164.85/165.10 [590]~E(x5901,x5902)+E(f96(x5901),f96(x5902))
% 164.85/165.10 [591]~E(x5911,x5912)+E(f66(x5911),f66(x5912))
% 164.85/165.10 [592]~E(x5921,x5922)+E(f802(x5921,x5923,x5924,x5925,x5926),f802(x5922,x5923,x5924,x5925,x5926))
% 164.85/165.10 [593]~E(x5931,x5932)+E(f802(x5933,x5931,x5934,x5935,x5936),f802(x5933,x5932,x5934,x5935,x5936))
% 164.85/165.10 [594]~E(x5941,x5942)+E(f802(x5943,x5944,x5941,x5945,x5946),f802(x5943,x5944,x5942,x5945,x5946))
% 164.85/165.10 [595]~E(x5951,x5952)+E(f802(x5953,x5954,x5955,x5951,x5956),f802(x5953,x5954,x5955,x5952,x5956))
% 164.85/165.10 [596]~E(x5961,x5962)+E(f802(x5963,x5964,x5965,x5966,x5961),f802(x5963,x5964,x5965,x5966,x5962))
% 164.85/165.10 [597]~E(x5971,x5972)+E(f832(x5971,x5973,x5974),f832(x5972,x5973,x5974))
% 164.85/165.10 [598]~E(x5981,x5982)+E(f832(x5983,x5981,x5984),f832(x5983,x5982,x5984))
% 164.85/165.10 [599]~E(x5991,x5992)+E(f832(x5993,x5994,x5991),f832(x5993,x5994,x5992))
% 164.85/165.10 [600]~E(x6001,x6002)+E(f267(x6001,x6003,x6004,x6005,x6006),f267(x6002,x6003,x6004,x6005,x6006))
% 164.85/165.10 [601]~E(x6011,x6012)+E(f267(x6013,x6011,x6014,x6015,x6016),f267(x6013,x6012,x6014,x6015,x6016))
% 164.85/165.10 [602]~E(x6021,x6022)+E(f267(x6023,x6024,x6021,x6025,x6026),f267(x6023,x6024,x6022,x6025,x6026))
% 164.85/165.10 [603]~E(x6031,x6032)+E(f267(x6033,x6034,x6035,x6031,x6036),f267(x6033,x6034,x6035,x6032,x6036))
% 164.85/165.10 [604]~E(x6041,x6042)+E(f267(x6043,x6044,x6045,x6046,x6041),f267(x6043,x6044,x6045,x6046,x6042))
% 164.85/165.10 [605]~E(x6051,x6052)+E(f208(x6051,x6053),f208(x6052,x6053))
% 164.85/165.10 [606]~E(x6061,x6062)+E(f208(x6063,x6061),f208(x6063,x6062))
% 164.85/165.10 [607]~E(x6071,x6072)+E(f346(x6071,x6073,x6074,x6075,x6076),f346(x6072,x6073,x6074,x6075,x6076))
% 164.85/165.10 [608]~E(x6081,x6082)+E(f346(x6083,x6081,x6084,x6085,x6086),f346(x6083,x6082,x6084,x6085,x6086))
% 164.85/165.10 [609]~E(x6091,x6092)+E(f346(x6093,x6094,x6091,x6095,x6096),f346(x6093,x6094,x6092,x6095,x6096))
% 164.85/165.10 [610]~E(x6101,x6102)+E(f346(x6103,x6104,x6105,x6101,x6106),f346(x6103,x6104,x6105,x6102,x6106))
% 164.85/165.10 [611]~E(x6111,x6112)+E(f346(x6113,x6114,x6115,x6116,x6111),f346(x6113,x6114,x6115,x6116,x6112))
% 164.85/165.10 [612]~E(x6121,x6122)+E(f855(x6121,x6123,x6124),f855(x6122,x6123,x6124))
% 164.85/165.10 [613]~E(x6131,x6132)+E(f855(x6133,x6131,x6134),f855(x6133,x6132,x6134))
% 164.85/165.10 [614]~E(x6141,x6142)+E(f855(x6143,x6144,x6141),f855(x6143,x6144,x6142))
% 164.85/165.10 [615]~E(x6151,x6152)+E(f165(x6151,x6153,x6154),f165(x6152,x6153,x6154))
% 164.85/165.10 [616]~E(x6161,x6162)+E(f165(x6163,x6161,x6164),f165(x6163,x6162,x6164))
% 164.85/165.10 [617]~E(x6171,x6172)+E(f165(x6173,x6174,x6171),f165(x6173,x6174,x6172))
% 164.85/165.10 [618]~E(x6181,x6182)+E(f176(x6181,x6183,x6184),f176(x6182,x6183,x6184))
% 164.85/165.10 [619]~E(x6191,x6192)+E(f176(x6193,x6191,x6194),f176(x6193,x6192,x6194))
% 164.85/165.10 [620]~E(x6201,x6202)+E(f176(x6203,x6204,x6201),f176(x6203,x6204,x6202))
% 164.85/165.10 [621]~E(x6211,x6212)+E(f402(x6211,x6213),f402(x6212,x6213))
% 164.85/165.10 [622]~E(x6221,x6222)+E(f402(x6223,x6221),f402(x6223,x6222))
% 164.85/165.10 [623]~E(x6231,x6232)+E(f137(x6231,x6233),f137(x6232,x6233))
% 164.85/165.10 [624]~E(x6241,x6242)+E(f137(x6243,x6241),f137(x6243,x6242))
% 164.85/165.10 [625]~E(x6251,x6252)+E(f76(x6251,x6253,x6254),f76(x6252,x6253,x6254))
% 164.85/165.10 [626]~E(x6261,x6262)+E(f76(x6263,x6261,x6264),f76(x6263,x6262,x6264))
% 164.85/165.10 [627]~E(x6271,x6272)+E(f76(x6273,x6274,x6271),f76(x6273,x6274,x6272))
% 164.85/165.10 [628]~E(x6281,x6282)+E(f97(x6281),f97(x6282))
% 164.85/165.10 [629]~E(x6291,x6292)+E(f194(x6291,x6293,x6294),f194(x6292,x6293,x6294))
% 164.85/165.10 [630]~E(x6301,x6302)+E(f194(x6303,x6301,x6304),f194(x6303,x6302,x6304))
% 164.85/165.10 [631]~E(x6311,x6312)+E(f194(x6313,x6314,x6311),f194(x6313,x6314,x6312))
% 164.85/165.10 [632]~E(x6321,x6322)+E(f186(x6321,x6323,x6324),f186(x6322,x6323,x6324))
% 164.85/165.10 [633]~E(x6331,x6332)+E(f186(x6333,x6331,x6334),f186(x6333,x6332,x6334))
% 164.85/165.10 [634]~E(x6341,x6342)+E(f186(x6343,x6344,x6341),f186(x6343,x6344,x6342))
% 164.85/165.10 [635]~E(x6351,x6352)+E(f398(x6351,x6353,x6354),f398(x6352,x6353,x6354))
% 164.85/165.10 [636]~E(x6361,x6362)+E(f398(x6363,x6361,x6364),f398(x6363,x6362,x6364))
% 164.85/165.10 [637]~E(x6371,x6372)+E(f398(x6373,x6374,x6371),f398(x6373,x6374,x6372))
% 164.85/165.10 [638]~E(x6381,x6382)+E(f720(x6381,x6383,x6384),f720(x6382,x6383,x6384))
% 164.85/165.10 [639]~E(x6391,x6392)+E(f720(x6393,x6391,x6394),f720(x6393,x6392,x6394))
% 164.85/165.10 [640]~E(x6401,x6402)+E(f720(x6403,x6404,x6401),f720(x6403,x6404,x6402))
% 164.85/165.10 [641]~E(x6411,x6412)+E(f801(x6411,x6413,x6414,x6415),f801(x6412,x6413,x6414,x6415))
% 164.85/165.10 [642]~E(x6421,x6422)+E(f801(x6423,x6421,x6424,x6425),f801(x6423,x6422,x6424,x6425))
% 164.85/165.10 [643]~E(x6431,x6432)+E(f801(x6433,x6434,x6431,x6435),f801(x6433,x6434,x6432,x6435))
% 164.85/165.10 [644]~E(x6441,x6442)+E(f801(x6443,x6444,x6445,x6441),f801(x6443,x6444,x6445,x6442))
% 164.85/165.10 [645]~E(x6451,x6452)+E(f687(x6451,x6453,x6454,x6455,x6456),f687(x6452,x6453,x6454,x6455,x6456))
% 164.85/165.10 [646]~E(x6461,x6462)+E(f687(x6463,x6461,x6464,x6465,x6466),f687(x6463,x6462,x6464,x6465,x6466))
% 164.85/165.10 [647]~E(x6471,x6472)+E(f687(x6473,x6474,x6471,x6475,x6476),f687(x6473,x6474,x6472,x6475,x6476))
% 164.85/165.10 [648]~E(x6481,x6482)+E(f687(x6483,x6484,x6485,x6481,x6486),f687(x6483,x6484,x6485,x6482,x6486))
% 164.85/165.10 [649]~E(x6491,x6492)+E(f687(x6493,x6494,x6495,x6496,x6491),f687(x6493,x6494,x6495,x6496,x6492))
% 164.85/165.10 [650]~E(x6501,x6502)+E(f313(x6501,x6503,x6504),f313(x6502,x6503,x6504))
% 164.85/165.10 [651]~E(x6511,x6512)+E(f313(x6513,x6511,x6514),f313(x6513,x6512,x6514))
% 164.85/165.10 [652]~E(x6521,x6522)+E(f313(x6523,x6524,x6521),f313(x6523,x6524,x6522))
% 164.85/165.10 [653]~E(x6531,x6532)+E(f282(x6531,x6533,x6534),f282(x6532,x6533,x6534))
% 164.85/165.10 [654]~E(x6541,x6542)+E(f282(x6543,x6541,x6544),f282(x6543,x6542,x6544))
% 164.85/165.10 [655]~E(x6551,x6552)+E(f282(x6553,x6554,x6551),f282(x6553,x6554,x6552))
% 164.85/165.10 [656]~E(x6561,x6562)+E(f583(x6561,x6563),f583(x6562,x6563))
% 164.85/165.10 [657]~E(x6571,x6572)+E(f583(x6573,x6571),f583(x6573,x6572))
% 164.85/165.10 [658]~E(x6581,x6582)+E(f170(x6581,x6583),f170(x6582,x6583))
% 164.85/165.10 [659]~E(x6591,x6592)+E(f170(x6593,x6591),f170(x6593,x6592))
% 164.85/165.10 [660]~E(x6601,x6602)+E(f157(x6601,x6603),f157(x6602,x6603))
% 164.85/165.10 [661]~E(x6611,x6612)+E(f157(x6613,x6611),f157(x6613,x6612))
% 164.85/165.10 [662]~E(x6621,x6622)+E(f424(x6621,x6623,x6624,x6625),f424(x6622,x6623,x6624,x6625))
% 164.85/165.10 [663]~E(x6631,x6632)+E(f424(x6633,x6631,x6634,x6635),f424(x6633,x6632,x6634,x6635))
% 164.85/165.10 [664]~E(x6641,x6642)+E(f424(x6643,x6644,x6641,x6645),f424(x6643,x6644,x6642,x6645))
% 164.85/165.10 [665]~E(x6651,x6652)+E(f424(x6653,x6654,x6655,x6651),f424(x6653,x6654,x6655,x6652))
% 164.85/165.10 [666]~E(x6661,x6662)+E(f281(x6661,x6663,x6664,x6665),f281(x6662,x6663,x6664,x6665))
% 164.85/165.10 [667]~E(x6671,x6672)+E(f281(x6673,x6671,x6674,x6675),f281(x6673,x6672,x6674,x6675))
% 164.85/165.10 [668]~E(x6681,x6682)+E(f281(x6683,x6684,x6681,x6685),f281(x6683,x6684,x6682,x6685))
% 164.85/165.10 [669]~E(x6691,x6692)+E(f281(x6693,x6694,x6695,x6691),f281(x6693,x6694,x6695,x6692))
% 164.85/165.10 [670]~E(x6701,x6702)+E(f660(x6701,x6703,x6704,x6705,x6706),f660(x6702,x6703,x6704,x6705,x6706))
% 164.85/165.10 [671]~E(x6711,x6712)+E(f660(x6713,x6711,x6714,x6715,x6716),f660(x6713,x6712,x6714,x6715,x6716))
% 164.85/165.10 [672]~E(x6721,x6722)+E(f660(x6723,x6724,x6721,x6725,x6726),f660(x6723,x6724,x6722,x6725,x6726))
% 164.85/165.10 [673]~E(x6731,x6732)+E(f660(x6733,x6734,x6735,x6731,x6736),f660(x6733,x6734,x6735,x6732,x6736))
% 164.85/165.10 [674]~E(x6741,x6742)+E(f660(x6743,x6744,x6745,x6746,x6741),f660(x6743,x6744,x6745,x6746,x6742))
% 164.85/165.10 [675]~E(x6751,x6752)+E(f900(x6751,x6753,x6754),f900(x6752,x6753,x6754))
% 164.85/165.10 [676]~E(x6761,x6762)+E(f900(x6763,x6761,x6764),f900(x6763,x6762,x6764))
% 164.85/165.10 [677]~E(x6771,x6772)+E(f900(x6773,x6774,x6771),f900(x6773,x6774,x6772))
% 164.85/165.10 [678]~E(x6781,x6782)+E(f85(x6781,x6783,x6784,x6785,x6786),f85(x6782,x6783,x6784,x6785,x6786))
% 164.85/165.10 [679]~E(x6791,x6792)+E(f85(x6793,x6791,x6794,x6795,x6796),f85(x6793,x6792,x6794,x6795,x6796))
% 164.85/165.10 [680]~E(x6801,x6802)+E(f85(x6803,x6804,x6801,x6805,x6806),f85(x6803,x6804,x6802,x6805,x6806))
% 164.85/165.10 [681]~E(x6811,x6812)+E(f85(x6813,x6814,x6815,x6811,x6816),f85(x6813,x6814,x6815,x6812,x6816))
% 164.85/165.10 [682]~E(x6821,x6822)+E(f85(x6823,x6824,x6825,x6826,x6821),f85(x6823,x6824,x6825,x6826,x6822))
% 164.85/165.10 [683]~E(x6831,x6832)+E(f196(x6831),f196(x6832))
% 164.85/165.10 [684]~E(x6841,x6842)+E(f272(x6841,x6843,x6844,x6845),f272(x6842,x6843,x6844,x6845))
% 164.85/165.10 [685]~E(x6851,x6852)+E(f272(x6853,x6851,x6854,x6855),f272(x6853,x6852,x6854,x6855))
% 164.85/165.10 [686]~E(x6861,x6862)+E(f272(x6863,x6864,x6861,x6865),f272(x6863,x6864,x6862,x6865))
% 164.85/165.10 [687]~E(x6871,x6872)+E(f272(x6873,x6874,x6875,x6871),f272(x6873,x6874,x6875,x6872))
% 164.85/165.10 [688]~E(x6881,x6882)+E(f122(x6881),f122(x6882))
% 164.85/165.10 [689]~E(x6891,x6892)+E(f362(x6891,x6893),f362(x6892,x6893))
% 164.85/165.10 [690]~E(x6901,x6902)+E(f362(x6903,x6901),f362(x6903,x6902))
% 164.85/165.10 [691]~E(x6911,x6912)+E(f226(x6911),f226(x6912))
% 164.85/165.10 [692]~E(x6921,x6922)+E(f171(x6921,x6923),f171(x6922,x6923))
% 164.85/165.10 [693]~E(x6931,x6932)+E(f171(x6933,x6931),f171(x6933,x6932))
% 164.85/165.10 [694]~E(x6941,x6942)+E(f153(x6941,x6943),f153(x6942,x6943))
% 164.85/165.10 [695]~E(x6951,x6952)+E(f153(x6953,x6951),f153(x6953,x6952))
% 164.85/165.10 [696]~E(x6961,x6962)+E(f416(x6961,x6963,x6964),f416(x6962,x6963,x6964))
% 164.85/165.10 [697]~E(x6971,x6972)+E(f416(x6973,x6971,x6974),f416(x6973,x6972,x6974))
% 164.85/165.10 [698]~E(x6981,x6982)+E(f416(x6983,x6984,x6981),f416(x6983,x6984,x6982))
% 164.85/165.10 [699]~E(x6991,x6992)+E(f86(x6991,x6993,x6994,x6995),f86(x6992,x6993,x6994,x6995))
% 164.85/165.10 [700]~E(x7001,x7002)+E(f86(x7003,x7001,x7004,x7005),f86(x7003,x7002,x7004,x7005))
% 164.85/165.10 [701]~E(x7011,x7012)+E(f86(x7013,x7014,x7011,x7015),f86(x7013,x7014,x7012,x7015))
% 164.85/165.10 [702]~E(x7021,x7022)+E(f86(x7023,x7024,x7025,x7021),f86(x7023,x7024,x7025,x7022))
% 164.85/165.10 [703]~E(x7031,x7032)+E(f700(x7031,x7033),f700(x7032,x7033))
% 164.85/165.10 [704]~E(x7041,x7042)+E(f700(x7043,x7041),f700(x7043,x7042))
% 164.85/165.10 [705]~E(x7051,x7052)+E(f363(x7051,x7053,x7054),f363(x7052,x7053,x7054))
% 164.85/165.10 [706]~E(x7061,x7062)+E(f363(x7063,x7061,x7064),f363(x7063,x7062,x7064))
% 164.85/165.10 [707]~E(x7071,x7072)+E(f363(x7073,x7074,x7071),f363(x7073,x7074,x7072))
% 164.85/165.10 [708]~E(x7081,x7082)+E(f300(x7081,x7083,x7084),f300(x7082,x7083,x7084))
% 164.85/165.10 [709]~E(x7091,x7092)+E(f300(x7093,x7091,x7094),f300(x7093,x7092,x7094))
% 164.85/165.10 [710]~E(x7101,x7102)+E(f300(x7103,x7104,x7101),f300(x7103,x7104,x7102))
% 164.85/165.10 [711]~E(x7111,x7112)+E(f228(x7111,x7113),f228(x7112,x7113))
% 164.85/165.10 [712]~E(x7121,x7122)+E(f228(x7123,x7121),f228(x7123,x7122))
% 164.85/165.10 [713]~E(x7131,x7132)+E(f263(x7131,x7133,x7134),f263(x7132,x7133,x7134))
% 164.85/165.10 [714]~E(x7141,x7142)+E(f263(x7143,x7141,x7144),f263(x7143,x7142,x7144))
% 164.85/165.10 [715]~E(x7151,x7152)+E(f263(x7153,x7154,x7151),f263(x7153,x7154,x7152))
% 164.85/165.10 [716]~E(x7161,x7162)+E(f443(x7161,x7163,x7164),f443(x7162,x7163,x7164))
% 164.85/165.10 [717]~E(x7171,x7172)+E(f443(x7173,x7171,x7174),f443(x7173,x7172,x7174))
% 164.85/165.10 [718]~E(x7181,x7182)+E(f443(x7183,x7184,x7181),f443(x7183,x7184,x7182))
% 164.85/165.10 [719]~E(x7191,x7192)+E(f453(x7191,x7193,x7194,x7195),f453(x7192,x7193,x7194,x7195))
% 164.85/165.10 [720]~E(x7201,x7202)+E(f453(x7203,x7201,x7204,x7205),f453(x7203,x7202,x7204,x7205))
% 164.85/165.10 [721]~E(x7211,x7212)+E(f453(x7213,x7214,x7211,x7215),f453(x7213,x7214,x7212,x7215))
% 164.85/165.10 [722]~E(x7221,x7222)+E(f453(x7223,x7224,x7225,x7221),f453(x7223,x7224,x7225,x7222))
% 164.85/165.10 [723]~E(x7231,x7232)+E(f864(x7231,x7233,x7234),f864(x7232,x7233,x7234))
% 164.85/165.10 [724]~E(x7241,x7242)+E(f864(x7243,x7241,x7244),f864(x7243,x7242,x7244))
% 164.85/165.10 [725]~E(x7251,x7252)+E(f864(x7253,x7254,x7251),f864(x7253,x7254,x7252))
% 164.85/165.10 [726]~E(x7261,x7262)+E(f613(x7261,x7263,x7264),f613(x7262,x7263,x7264))
% 164.85/165.10 [727]~E(x7271,x7272)+E(f613(x7273,x7271,x7274),f613(x7273,x7272,x7274))
% 164.85/165.10 [728]~E(x7281,x7282)+E(f613(x7283,x7284,x7281),f613(x7283,x7284,x7282))
% 164.85/165.10 [729]~E(x7291,x7292)+E(f500(x7291,x7293,x7294),f500(x7292,x7293,x7294))
% 164.85/165.10 [730]~E(x7301,x7302)+E(f500(x7303,x7301,x7304),f500(x7303,x7302,x7304))
% 164.85/165.10 [731]~E(x7311,x7312)+E(f500(x7313,x7314,x7311),f500(x7313,x7314,x7312))
% 164.85/165.10 [732]~E(x7321,x7322)+E(f311(x7321),f311(x7322))
% 164.85/165.10 [733]~E(x7331,x7332)+E(f245(x7331,x7333,x7334,x7335),f245(x7332,x7333,x7334,x7335))
% 164.85/165.10 [734]~E(x7341,x7342)+E(f245(x7343,x7341,x7344,x7345),f245(x7343,x7342,x7344,x7345))
% 164.85/165.10 [735]~E(x7351,x7352)+E(f245(x7353,x7354,x7351,x7355),f245(x7353,x7354,x7352,x7355))
% 164.85/165.10 [736]~E(x7361,x7362)+E(f245(x7363,x7364,x7365,x7361),f245(x7363,x7364,x7365,x7362))
% 164.85/165.10 [737]~E(x7371,x7372)+E(f792(x7371,x7373),f792(x7372,x7373))
% 164.85/165.10 [738]~E(x7381,x7382)+E(f792(x7383,x7381),f792(x7383,x7382))
% 164.85/165.10 [739]~E(x7391,x7392)+E(f489(x7391),f489(x7392))
% 164.85/165.10 [740]~E(x7401,x7402)+E(f63(x7401,x7403),f63(x7402,x7403))
% 164.85/165.10 [741]~E(x7411,x7412)+E(f63(x7413,x7411),f63(x7413,x7412))
% 164.85/165.10 [742]~E(x7421,x7422)+E(f364(x7421,x7423,x7424,x7425,x7426),f364(x7422,x7423,x7424,x7425,x7426))
% 164.85/165.10 [743]~E(x7431,x7432)+E(f364(x7433,x7431,x7434,x7435,x7436),f364(x7433,x7432,x7434,x7435,x7436))
% 164.85/165.10 [744]~E(x7441,x7442)+E(f364(x7443,x7444,x7441,x7445,x7446),f364(x7443,x7444,x7442,x7445,x7446))
% 164.85/165.10 [745]~E(x7451,x7452)+E(f364(x7453,x7454,x7455,x7451,x7456),f364(x7453,x7454,x7455,x7452,x7456))
% 164.85/165.10 [746]~E(x7461,x7462)+E(f364(x7463,x7464,x7465,x7466,x7461),f364(x7463,x7464,x7465,x7466,x7462))
% 164.85/165.10 [747]~E(x7471,x7472)+E(f514(x7471,x7473,x7474),f514(x7472,x7473,x7474))
% 164.85/165.10 [748]~E(x7481,x7482)+E(f514(x7483,x7481,x7484),f514(x7483,x7482,x7484))
% 164.85/165.10 [749]~E(x7491,x7492)+E(f514(x7493,x7494,x7491),f514(x7493,x7494,x7492))
% 164.85/165.10 [750]~E(x7501,x7502)+E(f661(x7501,x7503,x7504,x7505,x7506),f661(x7502,x7503,x7504,x7505,x7506))
% 164.85/165.10 [751]~E(x7511,x7512)+E(f661(x7513,x7511,x7514,x7515,x7516),f661(x7513,x7512,x7514,x7515,x7516))
% 164.85/165.10 [752]~E(x7521,x7522)+E(f661(x7523,x7524,x7521,x7525,x7526),f661(x7523,x7524,x7522,x7525,x7526))
% 164.85/165.10 [753]~E(x7531,x7532)+E(f661(x7533,x7534,x7535,x7531,x7536),f661(x7533,x7534,x7535,x7532,x7536))
% 164.85/165.10 [754]~E(x7541,x7542)+E(f661(x7543,x7544,x7545,x7546,x7541),f661(x7543,x7544,x7545,x7546,x7542))
% 164.85/165.10 [755]~E(x7551,x7552)+E(f230(x7551,x7553),f230(x7552,x7553))
% 164.85/165.10 [756]~E(x7561,x7562)+E(f230(x7563,x7561),f230(x7563,x7562))
% 164.85/165.10 [757]~E(x7571,x7572)+E(f166(x7571,x7573,x7574,x7575),f166(x7572,x7573,x7574,x7575))
% 164.85/165.10 [758]~E(x7581,x7582)+E(f166(x7583,x7581,x7584,x7585),f166(x7583,x7582,x7584,x7585))
% 164.85/165.10 [759]~E(x7591,x7592)+E(f166(x7593,x7594,x7591,x7595),f166(x7593,x7594,x7592,x7595))
% 164.85/165.10 [760]~E(x7601,x7602)+E(f166(x7603,x7604,x7605,x7601),f166(x7603,x7604,x7605,x7602))
% 164.85/165.10 [761]~E(x7611,x7612)+E(f869(x7611,x7613,x7614),f869(x7612,x7613,x7614))
% 164.85/165.10 [762]~E(x7621,x7622)+E(f869(x7623,x7621,x7624),f869(x7623,x7622,x7624))
% 164.85/165.10 [763]~E(x7631,x7632)+E(f869(x7633,x7634,x7631),f869(x7633,x7634,x7632))
% 164.85/165.10 [764]~E(x7641,x7642)+E(f781(x7641,x7643,x7644,x7645),f781(x7642,x7643,x7644,x7645))
% 164.85/165.10 [765]~E(x7651,x7652)+E(f781(x7653,x7651,x7654,x7655),f781(x7653,x7652,x7654,x7655))
% 164.85/165.10 [766]~E(x7661,x7662)+E(f781(x7663,x7664,x7661,x7665),f781(x7663,x7664,x7662,x7665))
% 164.85/165.10 [767]~E(x7671,x7672)+E(f781(x7673,x7674,x7675,x7671),f781(x7673,x7674,x7675,x7672))
% 164.85/165.10 [768]~E(x7681,x7682)+E(f134(x7681,x7683,x7684,x7685),f134(x7682,x7683,x7684,x7685))
% 164.85/165.10 [769]~E(x7691,x7692)+E(f134(x7693,x7691,x7694,x7695),f134(x7693,x7692,x7694,x7695))
% 164.85/165.10 [770]~E(x7701,x7702)+E(f134(x7703,x7704,x7701,x7705),f134(x7703,x7704,x7702,x7705))
% 164.85/165.10 [771]~E(x7711,x7712)+E(f134(x7713,x7714,x7715,x7711),f134(x7713,x7714,x7715,x7712))
% 164.85/165.10 [772]~E(x7721,x7722)+E(f341(x7721,x7723,x7724),f341(x7722,x7723,x7724))
% 164.85/165.10 [773]~E(x7731,x7732)+E(f341(x7733,x7731,x7734),f341(x7733,x7732,x7734))
% 164.85/165.10 [774]~E(x7741,x7742)+E(f341(x7743,x7744,x7741),f341(x7743,x7744,x7742))
% 164.85/165.10 [775]~E(x7751,x7752)+E(f597(x7751,x7753,x7754),f597(x7752,x7753,x7754))
% 164.85/165.10 [776]~E(x7761,x7762)+E(f597(x7763,x7761,x7764),f597(x7763,x7762,x7764))
% 164.85/165.10 [777]~E(x7771,x7772)+E(f597(x7773,x7774,x7771),f597(x7773,x7774,x7772))
% 164.85/165.10 [778]~E(x7781,x7782)+E(f210(x7781,x7783,x7784,x7785),f210(x7782,x7783,x7784,x7785))
% 164.85/165.10 [779]~E(x7791,x7792)+E(f210(x7793,x7791,x7794,x7795),f210(x7793,x7792,x7794,x7795))
% 164.85/165.10 [780]~E(x7801,x7802)+E(f210(x7803,x7804,x7801,x7805),f210(x7803,x7804,x7802,x7805))
% 164.85/165.10 [781]~E(x7811,x7812)+E(f210(x7813,x7814,x7815,x7811),f210(x7813,x7814,x7815,x7812))
% 164.85/165.10 [782]~E(x7821,x7822)+E(f234(x7821,x7823,x7824,x7825),f234(x7822,x7823,x7824,x7825))
% 164.85/165.10 [783]~E(x7831,x7832)+E(f234(x7833,x7831,x7834,x7835),f234(x7833,x7832,x7834,x7835))
% 164.85/165.10 [784]~E(x7841,x7842)+E(f234(x7843,x7844,x7841,x7845),f234(x7843,x7844,x7842,x7845))
% 164.85/165.10 [785]~E(x7851,x7852)+E(f234(x7853,x7854,x7855,x7851),f234(x7853,x7854,x7855,x7852))
% 164.85/165.10 [786]~E(x7861,x7862)+E(f803(x7861,x7863,x7864,x7865,x7866),f803(x7862,x7863,x7864,x7865,x7866))
% 164.85/165.10 [787]~E(x7871,x7872)+E(f803(x7873,x7871,x7874,x7875,x7876),f803(x7873,x7872,x7874,x7875,x7876))
% 164.85/165.10 [788]~E(x7881,x7882)+E(f803(x7883,x7884,x7881,x7885,x7886),f803(x7883,x7884,x7882,x7885,x7886))
% 164.85/165.10 [789]~E(x7891,x7892)+E(f803(x7893,x7894,x7895,x7891,x7896),f803(x7893,x7894,x7895,x7892,x7896))
% 164.85/165.10 [790]~E(x7901,x7902)+E(f803(x7903,x7904,x7905,x7906,x7901),f803(x7903,x7904,x7905,x7906,x7902))
% 164.85/165.10 [791]~E(x7911,x7912)+E(f724(x7911,x7913,x7914),f724(x7912,x7913,x7914))
% 164.85/165.10 [792]~E(x7921,x7922)+E(f724(x7923,x7921,x7924),f724(x7923,x7922,x7924))
% 164.85/165.10 [793]~E(x7931,x7932)+E(f724(x7933,x7934,x7931),f724(x7933,x7934,x7932))
% 164.85/165.10 [794]~E(x7941,x7942)+E(f894(x7941,x7943,x7944,x7945,x7946,x7947),f894(x7942,x7943,x7944,x7945,x7946,x7947))
% 164.85/165.10 [795]~E(x7951,x7952)+E(f894(x7953,x7951,x7954,x7955,x7956,x7957),f894(x7953,x7952,x7954,x7955,x7956,x7957))
% 164.85/165.10 [796]~E(x7961,x7962)+E(f894(x7963,x7964,x7961,x7965,x7966,x7967),f894(x7963,x7964,x7962,x7965,x7966,x7967))
% 164.85/165.10 [797]~E(x7971,x7972)+E(f894(x7973,x7974,x7975,x7971,x7976,x7977),f894(x7973,x7974,x7975,x7972,x7976,x7977))
% 164.85/165.10 [798]~E(x7981,x7982)+E(f894(x7983,x7984,x7985,x7986,x7981,x7987),f894(x7983,x7984,x7985,x7986,x7982,x7987))
% 164.85/165.10 [799]~E(x7991,x7992)+E(f894(x7993,x7994,x7995,x7996,x7997,x7991),f894(x7993,x7994,x7995,x7996,x7997,x7992))
% 164.85/165.10 [800]~E(x8001,x8002)+E(f457(x8001,x8003,x8004),f457(x8002,x8003,x8004))
% 164.85/165.10 [801]~E(x8011,x8012)+E(f457(x8013,x8011,x8014),f457(x8013,x8012,x8014))
% 164.85/165.10 [802]~E(x8021,x8022)+E(f457(x8023,x8024,x8021),f457(x8023,x8024,x8022))
% 164.85/165.10 [803]~E(x8031,x8032)+E(f372(x8031,x8033,x8034,x8035),f372(x8032,x8033,x8034,x8035))
% 164.85/165.10 [804]~E(x8041,x8042)+E(f372(x8043,x8041,x8044,x8045),f372(x8043,x8042,x8044,x8045))
% 164.85/165.10 [805]~E(x8051,x8052)+E(f372(x8053,x8054,x8051,x8055),f372(x8053,x8054,x8052,x8055))
% 164.85/165.10 [806]~E(x8061,x8062)+E(f372(x8063,x8064,x8065,x8061),f372(x8063,x8064,x8065,x8062))
% 164.85/165.10 [807]~E(x8071,x8072)+E(f385(x8071,x8073,x8074),f385(x8072,x8073,x8074))
% 164.85/165.10 [808]~E(x8081,x8082)+E(f385(x8083,x8081,x8084),f385(x8083,x8082,x8084))
% 164.85/165.10 [809]~E(x8091,x8092)+E(f385(x8093,x8094,x8091),f385(x8093,x8094,x8092))
% 164.85/165.10 [810]~E(x8101,x8102)+E(f340(x8101,x8103,x8104),f340(x8102,x8103,x8104))
% 164.85/165.10 [811]~E(x8111,x8112)+E(f340(x8113,x8111,x8114),f340(x8113,x8112,x8114))
% 164.85/165.10 [812]~E(x8121,x8122)+E(f340(x8123,x8124,x8121),f340(x8123,x8124,x8122))
% 164.85/165.10 [813]~E(x8131,x8132)+E(f617(x8131,x8133,x8134),f617(x8132,x8133,x8134))
% 164.85/165.10 [814]~E(x8141,x8142)+E(f617(x8143,x8141,x8144),f617(x8143,x8142,x8144))
% 164.85/165.10 [815]~E(x8151,x8152)+E(f617(x8153,x8154,x8151),f617(x8153,x8154,x8152))
% 164.85/165.10 [816]~E(x8161,x8162)+E(f476(x8161,x8163,x8164,x8165,x8166),f476(x8162,x8163,x8164,x8165,x8166))
% 164.85/165.10 [817]~E(x8171,x8172)+E(f476(x8173,x8171,x8174,x8175,x8176),f476(x8173,x8172,x8174,x8175,x8176))
% 164.85/165.10 [818]~E(x8181,x8182)+E(f476(x8183,x8184,x8181,x8185,x8186),f476(x8183,x8184,x8182,x8185,x8186))
% 164.85/165.10 [819]~E(x8191,x8192)+E(f476(x8193,x8194,x8195,x8191,x8196),f476(x8193,x8194,x8195,x8192,x8196))
% 164.85/165.10 [820]~E(x8201,x8202)+E(f476(x8203,x8204,x8205,x8206,x8201),f476(x8203,x8204,x8205,x8206,x8202))
% 164.85/165.10 [821]~E(x8211,x8212)+E(f130(x8211,x8213,x8214),f130(x8212,x8213,x8214))
% 164.85/165.10 [822]~E(x8221,x8222)+E(f130(x8223,x8221,x8224),f130(x8223,x8222,x8224))
% 164.85/165.10 [823]~E(x8231,x8232)+E(f130(x8233,x8234,x8231),f130(x8233,x8234,x8232))
% 164.85/165.10 [824]~E(x8241,x8242)+E(f694(x8241,x8243,x8244),f694(x8242,x8243,x8244))
% 164.85/165.10 [825]~E(x8251,x8252)+E(f694(x8253,x8251,x8254),f694(x8253,x8252,x8254))
% 164.85/165.10 [826]~E(x8261,x8262)+E(f694(x8263,x8264,x8261),f694(x8263,x8264,x8262))
% 164.85/165.10 [827]~E(x8271,x8272)+E(f548(x8271,x8273,x8274,x8275,x8276),f548(x8272,x8273,x8274,x8275,x8276))
% 164.85/165.10 [828]~E(x8281,x8282)+E(f548(x8283,x8281,x8284,x8285,x8286),f548(x8283,x8282,x8284,x8285,x8286))
% 164.85/165.10 [829]~E(x8291,x8292)+E(f548(x8293,x8294,x8291,x8295,x8296),f548(x8293,x8294,x8292,x8295,x8296))
% 164.85/165.10 [830]~E(x8301,x8302)+E(f548(x8303,x8304,x8305,x8301,x8306),f548(x8303,x8304,x8305,x8302,x8306))
% 164.85/165.10 [831]~E(x8311,x8312)+E(f548(x8313,x8314,x8315,x8316,x8311),f548(x8313,x8314,x8315,x8316,x8312))
% 164.85/165.10 [832]~E(x8321,x8322)+E(f578(x8321,x8323,x8324,x8325),f578(x8322,x8323,x8324,x8325))
% 164.85/165.10 [833]~E(x8331,x8332)+E(f578(x8333,x8331,x8334,x8335),f578(x8333,x8332,x8334,x8335))
% 164.85/165.10 [834]~E(x8341,x8342)+E(f578(x8343,x8344,x8341,x8345),f578(x8343,x8344,x8342,x8345))
% 164.85/165.10 [835]~E(x8351,x8352)+E(f578(x8353,x8354,x8355,x8351),f578(x8353,x8354,x8355,x8352))
% 164.85/165.10 [836]~E(x8361,x8362)+E(f874(x8361,x8363,x8364,x8365),f874(x8362,x8363,x8364,x8365))
% 164.85/165.10 [837]~E(x8371,x8372)+E(f874(x8373,x8371,x8374,x8375),f874(x8373,x8372,x8374,x8375))
% 164.85/165.10 [838]~E(x8381,x8382)+E(f874(x8383,x8384,x8381,x8385),f874(x8383,x8384,x8382,x8385))
% 164.85/165.10 [839]~E(x8391,x8392)+E(f874(x8393,x8394,x8395,x8391),f874(x8393,x8394,x8395,x8392))
% 164.85/165.10 [840]~E(x8401,x8402)+E(f237(x8401,x8403,x8404,x8405,x8406),f237(x8402,x8403,x8404,x8405,x8406))
% 164.85/165.10 [841]~E(x8411,x8412)+E(f237(x8413,x8411,x8414,x8415,x8416),f237(x8413,x8412,x8414,x8415,x8416))
% 164.85/165.10 [842]~E(x8421,x8422)+E(f237(x8423,x8424,x8421,x8425,x8426),f237(x8423,x8424,x8422,x8425,x8426))
% 164.85/165.10 [843]~E(x8431,x8432)+E(f237(x8433,x8434,x8435,x8431,x8436),f237(x8433,x8434,x8435,x8432,x8436))
% 164.85/165.10 [844]~E(x8441,x8442)+E(f237(x8443,x8444,x8445,x8446,x8441),f237(x8443,x8444,x8445,x8446,x8442))
% 164.85/165.10 [845]~E(x8451,x8452)+E(f479(x8451,x8453),f479(x8452,x8453))
% 164.85/165.10 [846]~E(x8461,x8462)+E(f479(x8463,x8461),f479(x8463,x8462))
% 164.85/165.10 [847]~E(x8471,x8472)+E(f448(x8471,x8473,x8474,x8475,x8476,x8477,x8478,x8479),f448(x8472,x8473,x8474,x8475,x8476,x8477,x8478,x8479))
% 164.85/165.10 [848]~E(x8481,x8482)+E(f448(x8483,x8481,x8484,x8485,x8486,x8487,x8488,x8489),f448(x8483,x8482,x8484,x8485,x8486,x8487,x8488,x8489))
% 164.85/165.10 [849]~E(x8491,x8492)+E(f448(x8493,x8494,x8491,x8495,x8496,x8497,x8498,x8499),f448(x8493,x8494,x8492,x8495,x8496,x8497,x8498,x8499))
% 164.85/165.10 [850]~E(x8501,x8502)+E(f448(x8503,x8504,x8505,x8501,x8506,x8507,x8508,x8509),f448(x8503,x8504,x8505,x8502,x8506,x8507,x8508,x8509))
% 164.85/165.10 [851]~E(x8511,x8512)+E(f448(x8513,x8514,x8515,x8516,x8511,x8517,x8518,x8519),f448(x8513,x8514,x8515,x8516,x8512,x8517,x8518,x8519))
% 164.85/165.10 [852]~E(x8521,x8522)+E(f448(x8523,x8524,x8525,x8526,x8527,x8521,x8528,x8529),f448(x8523,x8524,x8525,x8526,x8527,x8522,x8528,x8529))
% 164.85/165.10 [853]~E(x8531,x8532)+E(f448(x8533,x8534,x8535,x8536,x8537,x8538,x8531,x8539),f448(x8533,x8534,x8535,x8536,x8537,x8538,x8532,x8539))
% 164.85/165.10 [854]~E(x8541,x8542)+E(f448(x8543,x8544,x8545,x8546,x8547,x8548,x8549,x8541),f448(x8543,x8544,x8545,x8546,x8547,x8548,x8549,x8542))
% 164.85/165.10 [855]~E(x8551,x8552)+E(f545(x8551,x8553,x8554,x8555,x8556),f545(x8552,x8553,x8554,x8555,x8556))
% 164.85/165.10 [856]~E(x8561,x8562)+E(f545(x8563,x8561,x8564,x8565,x8566),f545(x8563,x8562,x8564,x8565,x8566))
% 164.85/165.10 [857]~E(x8571,x8572)+E(f545(x8573,x8574,x8571,x8575,x8576),f545(x8573,x8574,x8572,x8575,x8576))
% 164.85/165.10 [858]~E(x8581,x8582)+E(f545(x8583,x8584,x8585,x8581,x8586),f545(x8583,x8584,x8585,x8582,x8586))
% 164.85/165.10 [859]~E(x8591,x8592)+E(f545(x8593,x8594,x8595,x8596,x8591),f545(x8593,x8594,x8595,x8596,x8592))
% 164.85/165.10 [860]~E(x8601,x8602)+E(f200(x8601,x8603,x8604,x8605),f200(x8602,x8603,x8604,x8605))
% 164.85/165.10 [861]~E(x8611,x8612)+E(f200(x8613,x8611,x8614,x8615),f200(x8613,x8612,x8614,x8615))
% 164.85/165.10 [862]~E(x8621,x8622)+E(f200(x8623,x8624,x8621,x8625),f200(x8623,x8624,x8622,x8625))
% 164.85/165.10 [863]~E(x8631,x8632)+E(f200(x8633,x8634,x8635,x8631),f200(x8633,x8634,x8635,x8632))
% 164.85/165.10 [864]~E(x8641,x8642)+E(f641(x8641,x8643),f641(x8642,x8643))
% 164.85/165.10 [865]~E(x8651,x8652)+E(f641(x8653,x8651),f641(x8653,x8652))
% 164.85/165.10 [866]~E(x8661,x8662)+E(f150(x8661,x8663,x8664),f150(x8662,x8663,x8664))
% 164.85/165.10 [867]~E(x8671,x8672)+E(f150(x8673,x8671,x8674),f150(x8673,x8672,x8674))
% 164.85/165.10 [868]~E(x8681,x8682)+E(f150(x8683,x8684,x8681),f150(x8683,x8684,x8682))
% 164.85/165.10 [869]~E(x8691,x8692)+E(f820(x8691,x8693,x8694),f820(x8692,x8693,x8694))
% 164.85/165.10 [870]~E(x8701,x8702)+E(f820(x8703,x8701,x8704),f820(x8703,x8702,x8704))
% 164.85/165.10 [871]~E(x8711,x8712)+E(f820(x8713,x8714,x8711),f820(x8713,x8714,x8712))
% 164.85/165.10 [872]~E(x8721,x8722)+E(f399(x8721,x8723,x8724),f399(x8722,x8723,x8724))
% 164.85/165.10 [873]~E(x8731,x8732)+E(f399(x8733,x8731,x8734),f399(x8733,x8732,x8734))
% 164.85/165.10 [874]~E(x8741,x8742)+E(f399(x8743,x8744,x8741),f399(x8743,x8744,x8742))
% 164.85/165.10 [875]~E(x8751,x8752)+E(f771(x8751,x8753,x8754),f771(x8752,x8753,x8754))
% 164.85/165.10 [876]~E(x8761,x8762)+E(f771(x8763,x8761,x8764),f771(x8763,x8762,x8764))
% 164.85/165.10 [877]~E(x8771,x8772)+E(f771(x8773,x8774,x8771),f771(x8773,x8774,x8772))
% 164.85/165.10 [878]~E(x8781,x8782)+E(f766(x8781,x8783,x8784),f766(x8782,x8783,x8784))
% 164.85/165.10 [879]~E(x8791,x8792)+E(f766(x8793,x8791,x8794),f766(x8793,x8792,x8794))
% 164.85/165.10 [880]~E(x8801,x8802)+E(f766(x8803,x8804,x8801),f766(x8803,x8804,x8802))
% 164.85/165.10 [881]~E(x8811,x8812)+E(f600(x8811,x8813,x8814,x8815,x8816,x8817,x8818,x8819),f600(x8812,x8813,x8814,x8815,x8816,x8817,x8818,x8819))
% 164.85/165.10 [882]~E(x8821,x8822)+E(f600(x8823,x8821,x8824,x8825,x8826,x8827,x8828,x8829),f600(x8823,x8822,x8824,x8825,x8826,x8827,x8828,x8829))
% 164.85/165.10 [883]~E(x8831,x8832)+E(f600(x8833,x8834,x8831,x8835,x8836,x8837,x8838,x8839),f600(x8833,x8834,x8832,x8835,x8836,x8837,x8838,x8839))
% 164.85/165.10 [884]~E(x8841,x8842)+E(f600(x8843,x8844,x8845,x8841,x8846,x8847,x8848,x8849),f600(x8843,x8844,x8845,x8842,x8846,x8847,x8848,x8849))
% 164.85/165.10 [885]~E(x8851,x8852)+E(f600(x8853,x8854,x8855,x8856,x8851,x8857,x8858,x8859),f600(x8853,x8854,x8855,x8856,x8852,x8857,x8858,x8859))
% 164.85/165.10 [886]~E(x8861,x8862)+E(f600(x8863,x8864,x8865,x8866,x8867,x8861,x8868,x8869),f600(x8863,x8864,x8865,x8866,x8867,x8862,x8868,x8869))
% 164.85/165.10 [887]~E(x8871,x8872)+E(f600(x8873,x8874,x8875,x8876,x8877,x8878,x8871,x8879),f600(x8873,x8874,x8875,x8876,x8877,x8878,x8872,x8879))
% 164.85/165.10 [888]~E(x8881,x8882)+E(f600(x8883,x8884,x8885,x8886,x8887,x8888,x8889,x8881),f600(x8883,x8884,x8885,x8886,x8887,x8888,x8889,x8882))
% 164.85/165.10 [889]~E(x8891,x8892)+E(f598(x8891,x8893,x8894),f598(x8892,x8893,x8894))
% 164.85/165.10 [890]~E(x8901,x8902)+E(f598(x8903,x8901,x8904),f598(x8903,x8902,x8904))
% 164.85/165.10 [891]~E(x8911,x8912)+E(f598(x8913,x8914,x8911),f598(x8913,x8914,x8912))
% 164.85/165.10 [892]~E(x8921,x8922)+E(f879(x8921,x8923,x8924,x8925),f879(x8922,x8923,x8924,x8925))
% 164.85/165.10 [893]~E(x8931,x8932)+E(f879(x8933,x8931,x8934,x8935),f879(x8933,x8932,x8934,x8935))
% 164.85/165.10 [894]~E(x8941,x8942)+E(f879(x8943,x8944,x8941,x8945),f879(x8943,x8944,x8942,x8945))
% 164.85/165.10 [895]~E(x8951,x8952)+E(f879(x8953,x8954,x8955,x8951),f879(x8953,x8954,x8955,x8952))
% 164.85/165.10 [896]~E(x8961,x8962)+E(f378(x8961,x8963,x8964,x8965,x8966,x8967),f378(x8962,x8963,x8964,x8965,x8966,x8967))
% 164.85/165.10 [897]~E(x8971,x8972)+E(f378(x8973,x8971,x8974,x8975,x8976,x8977),f378(x8973,x8972,x8974,x8975,x8976,x8977))
% 164.85/165.10 [898]~E(x8981,x8982)+E(f378(x8983,x8984,x8981,x8985,x8986,x8987),f378(x8983,x8984,x8982,x8985,x8986,x8987))
% 164.85/165.10 [899]~E(x8991,x8992)+E(f378(x8993,x8994,x8995,x8991,x8996,x8997),f378(x8993,x8994,x8995,x8992,x8996,x8997))
% 164.85/165.10 [900]~E(x9001,x9002)+E(f378(x9003,x9004,x9005,x9006,x9001,x9007),f378(x9003,x9004,x9005,x9006,x9002,x9007))
% 164.85/165.10 [901]~E(x9011,x9012)+E(f378(x9013,x9014,x9015,x9016,x9017,x9011),f378(x9013,x9014,x9015,x9016,x9017,x9012))
% 164.85/165.10 [902]~E(x9021,x9022)+E(f392(x9021,x9023,x9024,x9025),f392(x9022,x9023,x9024,x9025))
% 164.85/165.10 [903]~E(x9031,x9032)+E(f392(x9033,x9031,x9034,x9035),f392(x9033,x9032,x9034,x9035))
% 164.85/165.10 [904]~E(x9041,x9042)+E(f392(x9043,x9044,x9041,x9045),f392(x9043,x9044,x9042,x9045))
% 164.85/165.10 [905]~E(x9051,x9052)+E(f392(x9053,x9054,x9055,x9051),f392(x9053,x9054,x9055,x9052))
% 164.85/165.10 [906]~E(x9061,x9062)+E(f415(x9061,x9063,x9064),f415(x9062,x9063,x9064))
% 164.85/165.10 [907]~E(x9071,x9072)+E(f415(x9073,x9071,x9074),f415(x9073,x9072,x9074))
% 164.85/165.10 [908]~E(x9081,x9082)+E(f415(x9083,x9084,x9081),f415(x9083,x9084,x9082))
% 164.85/165.10 [909]~E(x9091,x9092)+E(f678(x9091,x9093,x9094,x9095),f678(x9092,x9093,x9094,x9095))
% 164.85/165.10 [910]~E(x9101,x9102)+E(f678(x9103,x9101,x9104,x9105),f678(x9103,x9102,x9104,x9105))
% 164.85/165.10 [911]~E(x9111,x9112)+E(f678(x9113,x9114,x9111,x9115),f678(x9113,x9114,x9112,x9115))
% 164.85/165.10 [912]~E(x9121,x9122)+E(f678(x9123,x9124,x9125,x9121),f678(x9123,x9124,x9125,x9122))
% 164.85/165.10 [913]~E(x9131,x9132)+E(f438(x9131,x9133,x9134,x9135,x9136),f438(x9132,x9133,x9134,x9135,x9136))
% 164.85/165.10 [914]~E(x9141,x9142)+E(f438(x9143,x9141,x9144,x9145,x9146),f438(x9143,x9142,x9144,x9145,x9146))
% 164.85/165.10 [915]~E(x9151,x9152)+E(f438(x9153,x9154,x9151,x9155,x9156),f438(x9153,x9154,x9152,x9155,x9156))
% 164.85/165.10 [916]~E(x9161,x9162)+E(f438(x9163,x9164,x9165,x9161,x9166),f438(x9163,x9164,x9165,x9162,x9166))
% 164.85/165.10 [917]~E(x9171,x9172)+E(f438(x9173,x9174,x9175,x9176,x9171),f438(x9173,x9174,x9175,x9176,x9172))
% 164.85/165.10 [918]~E(x9181,x9182)+E(f520(x9181),f520(x9182))
% 164.85/165.10 [919]~E(x9191,x9192)+E(f285(x9191,x9193,x9194,x9195),f285(x9192,x9193,x9194,x9195))
% 164.85/165.10 [920]~E(x9201,x9202)+E(f285(x9203,x9201,x9204,x9205),f285(x9203,x9202,x9204,x9205))
% 164.85/165.10 [921]~E(x9211,x9212)+E(f285(x9213,x9214,x9211,x9215),f285(x9213,x9214,x9212,x9215))
% 164.85/165.10 [922]~E(x9221,x9222)+E(f285(x9223,x9224,x9225,x9221),f285(x9223,x9224,x9225,x9222))
% 164.85/165.10 [923]~E(x9231,x9232)+E(f817(x9231,x9233,x9234),f817(x9232,x9233,x9234))
% 164.85/165.10 [924]~E(x9241,x9242)+E(f817(x9243,x9241,x9244),f817(x9243,x9242,x9244))
% 164.85/165.10 [925]~E(x9251,x9252)+E(f817(x9253,x9254,x9251),f817(x9253,x9254,x9252))
% 164.85/165.10 [926]~E(x9261,x9262)+E(f525(x9261,x9263,x9264),f525(x9262,x9263,x9264))
% 164.85/165.10 [927]~E(x9271,x9272)+E(f525(x9273,x9271,x9274),f525(x9273,x9272,x9274))
% 164.85/165.10 [928]~E(x9281,x9282)+E(f525(x9283,x9284,x9281),f525(x9283,x9284,x9282))
% 164.85/165.10 [929]~E(x9291,x9292)+E(f223(x9291,x9293,x9294,x9295),f223(x9292,x9293,x9294,x9295))
% 164.85/165.10 [930]~E(x9301,x9302)+E(f223(x9303,x9301,x9304,x9305),f223(x9303,x9302,x9304,x9305))
% 164.85/165.10 [931]~E(x9311,x9312)+E(f223(x9313,x9314,x9311,x9315),f223(x9313,x9314,x9312,x9315))
% 164.85/165.10 [932]~E(x9321,x9322)+E(f223(x9323,x9324,x9325,x9321),f223(x9323,x9324,x9325,x9322))
% 164.85/165.10 [933]~E(x9331,x9332)+E(f339(x9331,x9333),f339(x9332,x9333))
% 164.85/165.10 [934]~E(x9341,x9342)+E(f339(x9343,x9341),f339(x9343,x9342))
% 164.85/165.10 [935]~E(x9351,x9352)+E(f751(x9351,x9353,x9354),f751(x9352,x9353,x9354))
% 164.85/165.10 [936]~E(x9361,x9362)+E(f751(x9363,x9361,x9364),f751(x9363,x9362,x9364))
% 164.85/165.10 [937]~E(x9371,x9372)+E(f751(x9373,x9374,x9371),f751(x9373,x9374,x9372))
% 164.85/165.10 [938]~E(x9381,x9382)+E(f139(x9381,x9383),f139(x9382,x9383))
% 164.85/165.10 [939]~E(x9391,x9392)+E(f139(x9393,x9391),f139(x9393,x9392))
% 164.85/165.10 [940]~E(x9401,x9402)+E(f670(x9401,x9403,x9404,x9405,x9406),f670(x9402,x9403,x9404,x9405,x9406))
% 164.85/165.10 [941]~E(x9411,x9412)+E(f670(x9413,x9411,x9414,x9415,x9416),f670(x9413,x9412,x9414,x9415,x9416))
% 164.85/165.10 [942]~E(x9421,x9422)+E(f670(x9423,x9424,x9421,x9425,x9426),f670(x9423,x9424,x9422,x9425,x9426))
% 164.85/165.10 [943]~E(x9431,x9432)+E(f670(x9433,x9434,x9435,x9431,x9436),f670(x9433,x9434,x9435,x9432,x9436))
% 164.85/165.10 [944]~E(x9441,x9442)+E(f670(x9443,x9444,x9445,x9446,x9441),f670(x9443,x9444,x9445,x9446,x9442))
% 164.85/165.10 [945]~E(x9451,x9452)+E(f393(x9451,x9453,x9454,x9455,x9456,x9457,x9458,x9459,x94510),f393(x9452,x9453,x9454,x9455,x9456,x9457,x9458,x9459,x94510))
% 164.85/165.10 [946]~E(x9461,x9462)+E(f393(x9463,x9461,x9464,x9465,x9466,x9467,x9468,x9469,x94610),f393(x9463,x9462,x9464,x9465,x9466,x9467,x9468,x9469,x94610))
% 164.85/165.10 [947]~E(x9471,x9472)+E(f393(x9473,x9474,x9471,x9475,x9476,x9477,x9478,x9479,x94710),f393(x9473,x9474,x9472,x9475,x9476,x9477,x9478,x9479,x94710))
% 164.85/165.10 [948]~E(x9481,x9482)+E(f393(x9483,x9484,x9485,x9481,x9486,x9487,x9488,x9489,x94810),f393(x9483,x9484,x9485,x9482,x9486,x9487,x9488,x9489,x94810))
% 164.85/165.10 [949]~E(x9491,x9492)+E(f393(x9493,x9494,x9495,x9496,x9491,x9497,x9498,x9499,x94910),f393(x9493,x9494,x9495,x9496,x9492,x9497,x9498,x9499,x94910))
% 164.85/165.10 [950]~E(x9501,x9502)+E(f393(x9503,x9504,x9505,x9506,x9507,x9501,x9508,x9509,x95010),f393(x9503,x9504,x9505,x9506,x9507,x9502,x9508,x9509,x95010))
% 164.85/165.10 [951]~E(x9511,x9512)+E(f393(x9513,x9514,x9515,x9516,x9517,x9518,x9511,x9519,x95110),f393(x9513,x9514,x9515,x9516,x9517,x9518,x9512,x9519,x95110))
% 164.85/165.10 [952]~E(x9521,x9522)+E(f393(x9523,x9524,x9525,x9526,x9527,x9528,x9529,x9521,x95210),f393(x9523,x9524,x9525,x9526,x9527,x9528,x9529,x9522,x95210))
% 164.85/165.10 [953]~E(x9531,x9532)+E(f393(x9533,x9534,x9535,x9536,x9537,x9538,x9539,x95310,x9531),f393(x9533,x9534,x9535,x9536,x9537,x9538,x9539,x95310,x9532))
% 164.85/165.10 [954]~E(x9541,x9542)+E(f202(x9541,x9543),f202(x9542,x9543))
% 164.85/165.10 [955]~E(x9551,x9552)+E(f202(x9553,x9551),f202(x9553,x9552))
% 164.85/165.10 [956]~E(x9561,x9562)+E(f342(x9561,x9563,x9564),f342(x9562,x9563,x9564))
% 164.85/165.10 [957]~E(x9571,x9572)+E(f342(x9573,x9571,x9574),f342(x9573,x9572,x9574))
% 164.85/165.10 [958]~E(x9581,x9582)+E(f342(x9583,x9584,x9581),f342(x9583,x9584,x9582))
% 164.85/165.10 [959]~E(x9591,x9592)+E(f133(x9591,x9593),f133(x9592,x9593))
% 164.85/165.10 [960]~E(x9601,x9602)+E(f133(x9603,x9601),f133(x9603,x9602))
% 164.85/165.10 [961]~E(x9611,x9612)+E(f404(x9611,x9613,x9614,x9615),f404(x9612,x9613,x9614,x9615))
% 164.85/165.10 [962]~E(x9621,x9622)+E(f404(x9623,x9621,x9624,x9625),f404(x9623,x9622,x9624,x9625))
% 164.85/165.10 [963]~E(x9631,x9632)+E(f404(x9633,x9634,x9631,x9635),f404(x9633,x9634,x9632,x9635))
% 164.85/165.10 [964]~E(x9641,x9642)+E(f404(x9643,x9644,x9645,x9641),f404(x9643,x9644,x9645,x9642))
% 164.85/165.10 [965]~E(x9651,x9652)+E(f650(x9651,x9653,x9654),f650(x9652,x9653,x9654))
% 164.85/165.10 [966]~E(x9661,x9662)+E(f650(x9663,x9661,x9664),f650(x9663,x9662,x9664))
% 164.85/165.10 [967]~E(x9671,x9672)+E(f650(x9673,x9674,x9671),f650(x9673,x9674,x9672))
% 164.85/165.10 [968]~E(x9681,x9682)+E(f840(x9681,x9683,x9684,x9685),f840(x9682,x9683,x9684,x9685))
% 164.85/165.10 [969]~E(x9691,x9692)+E(f840(x9693,x9691,x9694,x9695),f840(x9693,x9692,x9694,x9695))
% 164.85/165.10 [970]~E(x9701,x9702)+E(f840(x9703,x9704,x9701,x9705),f840(x9703,x9704,x9702,x9705))
% 164.85/165.10 [971]~E(x9711,x9712)+E(f840(x9713,x9714,x9715,x9711),f840(x9713,x9714,x9715,x9712))
% 164.85/165.10 [972]~E(x9721,x9722)+E(f250(x9721,x9723),f250(x9722,x9723))
% 164.85/165.10 [973]~E(x9731,x9732)+E(f250(x9733,x9731),f250(x9733,x9732))
% 164.85/165.10 [974]~E(x9741,x9742)+E(f762(x9741,x9743,x9744,x9745,x9746),f762(x9742,x9743,x9744,x9745,x9746))
% 164.85/165.10 [975]~E(x9751,x9752)+E(f762(x9753,x9751,x9754,x9755,x9756),f762(x9753,x9752,x9754,x9755,x9756))
% 164.85/165.10 [976]~E(x9761,x9762)+E(f762(x9763,x9764,x9761,x9765,x9766),f762(x9763,x9764,x9762,x9765,x9766))
% 164.85/165.10 [977]~E(x9771,x9772)+E(f762(x9773,x9774,x9775,x9771,x9776),f762(x9773,x9774,x9775,x9772,x9776))
% 164.85/165.10 [978]~E(x9781,x9782)+E(f762(x9783,x9784,x9785,x9786,x9781),f762(x9783,x9784,x9785,x9786,x9782))
% 164.85/165.10 [979]~E(x9791,x9792)+E(f30(x9791,x9793,x9794),f30(x9792,x9793,x9794))
% 164.85/165.10 [980]~E(x9801,x9802)+E(f30(x9803,x9801,x9804),f30(x9803,x9802,x9804))
% 164.85/165.10 [981]~E(x9811,x9812)+E(f30(x9813,x9814,x9811),f30(x9813,x9814,x9812))
% 164.85/165.10 [982]~E(x9821,x9822)+E(f784(x9821,x9823,x9824,x9825),f784(x9822,x9823,x9824,x9825))
% 164.85/165.10 [983]~E(x9831,x9832)+E(f784(x9833,x9831,x9834,x9835),f784(x9833,x9832,x9834,x9835))
% 164.85/165.10 [984]~E(x9841,x9842)+E(f784(x9843,x9844,x9841,x9845),f784(x9843,x9844,x9842,x9845))
% 164.85/165.10 [985]~E(x9851,x9852)+E(f784(x9853,x9854,x9855,x9851),f784(x9853,x9854,x9855,x9852))
% 164.85/165.10 [986]~E(x9861,x9862)+E(f449(x9861,x9863,x9864,x9865,x9866,x9867,x9868,x9869),f449(x9862,x9863,x9864,x9865,x9866,x9867,x9868,x9869))
% 164.85/165.10 [987]~E(x9871,x9872)+E(f449(x9873,x9871,x9874,x9875,x9876,x9877,x9878,x9879),f449(x9873,x9872,x9874,x9875,x9876,x9877,x9878,x9879))
% 164.85/165.10 [988]~E(x9881,x9882)+E(f449(x9883,x9884,x9881,x9885,x9886,x9887,x9888,x9889),f449(x9883,x9884,x9882,x9885,x9886,x9887,x9888,x9889))
% 164.85/165.10 [989]~E(x9891,x9892)+E(f449(x9893,x9894,x9895,x9891,x9896,x9897,x9898,x9899),f449(x9893,x9894,x9895,x9892,x9896,x9897,x9898,x9899))
% 164.85/165.10 [990]~E(x9901,x9902)+E(f449(x9903,x9904,x9905,x9906,x9901,x9907,x9908,x9909),f449(x9903,x9904,x9905,x9906,x9902,x9907,x9908,x9909))
% 164.85/165.10 [991]~E(x9911,x9912)+E(f449(x9913,x9914,x9915,x9916,x9917,x9911,x9918,x9919),f449(x9913,x9914,x9915,x9916,x9917,x9912,x9918,x9919))
% 164.85/165.10 [992]~E(x9921,x9922)+E(f449(x9923,x9924,x9925,x9926,x9927,x9928,x9921,x9929),f449(x9923,x9924,x9925,x9926,x9927,x9928,x9922,x9929))
% 164.85/165.10 [993]~E(x9931,x9932)+E(f449(x9933,x9934,x9935,x9936,x9937,x9938,x9939,x9931),f449(x9933,x9934,x9935,x9936,x9937,x9938,x9939,x9932))
% 164.85/165.10 [994]~E(x9941,x9942)+E(f229(x9941,x9943),f229(x9942,x9943))
% 164.85/165.10 [995]~E(x9951,x9952)+E(f229(x9953,x9951),f229(x9953,x9952))
% 164.85/165.10 [996]~E(x9961,x9962)+E(f618(x9961,x9963,x9964),f618(x9962,x9963,x9964))
% 164.85/165.10 [997]~E(x9971,x9972)+E(f618(x9973,x9971,x9974),f618(x9973,x9972,x9974))
% 164.85/165.10 [998]~E(x9981,x9982)+E(f618(x9983,x9984,x9981),f618(x9983,x9984,x9982))
% 164.85/165.10 [999]~E(x9991,x9992)+E(f664(x9991,x9993,x9994,x9995,x9996),f664(x9992,x9993,x9994,x9995,x9996))
% 164.85/165.10 [1000]~E(x10001,x10002)+E(f664(x10003,x10001,x10004,x10005,x10006),f664(x10003,x10002,x10004,x10005,x10006))
% 164.85/165.10 [1001]~E(x10011,x10012)+E(f664(x10013,x10014,x10011,x10015,x10016),f664(x10013,x10014,x10012,x10015,x10016))
% 164.85/165.10 [1002]~E(x10021,x10022)+E(f664(x10023,x10024,x10025,x10021,x10026),f664(x10023,x10024,x10025,x10022,x10026))
% 164.85/165.10 [1003]~E(x10031,x10032)+E(f664(x10033,x10034,x10035,x10036,x10031),f664(x10033,x10034,x10035,x10036,x10032))
% 164.85/165.10 [1004]~E(x10041,x10042)+E(f591(x10041,x10043,x10044),f591(x10042,x10043,x10044))
% 164.85/165.10 [1005]~E(x10051,x10052)+E(f591(x10053,x10051,x10054),f591(x10053,x10052,x10054))
% 164.85/165.10 [1006]~E(x10061,x10062)+E(f591(x10063,x10064,x10061),f591(x10063,x10064,x10062))
% 164.85/165.10 [1007]~E(x10071,x10072)+E(f430(x10071,x10073,x10074),f430(x10072,x10073,x10074))
% 164.85/165.10 [1008]~E(x10081,x10082)+E(f430(x10083,x10081,x10084),f430(x10083,x10082,x10084))
% 164.85/165.10 [1009]~E(x10091,x10092)+E(f430(x10093,x10094,x10091),f430(x10093,x10094,x10092))
% 164.85/165.10 [1010]~E(x10101,x10102)+E(f843(x10101,x10103,x10104,x10105),f843(x10102,x10103,x10104,x10105))
% 164.85/165.10 [1011]~E(x10111,x10112)+E(f843(x10113,x10111,x10114,x10115),f843(x10113,x10112,x10114,x10115))
% 164.85/165.10 [1012]~E(x10121,x10122)+E(f843(x10123,x10124,x10121,x10125),f843(x10123,x10124,x10122,x10125))
% 164.85/165.10 [1013]~E(x10131,x10132)+E(f843(x10133,x10134,x10135,x10131),f843(x10133,x10134,x10135,x10132))
% 164.85/165.10 [1014]~E(x10141,x10142)+E(f726(x10141,x10143,x10144),f726(x10142,x10143,x10144))
% 164.85/165.10 [1015]~E(x10151,x10152)+E(f726(x10153,x10151,x10154),f726(x10153,x10152,x10154))
% 164.85/165.10 [1016]~E(x10161,x10162)+E(f726(x10163,x10164,x10161),f726(x10163,x10164,x10162))
% 164.85/165.10 [1017]~E(x10171,x10172)+E(f770(x10171,x10173,x10174),f770(x10172,x10173,x10174))
% 164.85/165.10 [1018]~E(x10181,x10182)+E(f770(x10183,x10181,x10184),f770(x10183,x10182,x10184))
% 164.85/165.10 [1019]~E(x10191,x10192)+E(f770(x10193,x10194,x10191),f770(x10193,x10194,x10192))
% 164.85/165.10 [1020]~E(x10201,x10202)+E(f241(x10201,x10203),f241(x10202,x10203))
% 164.85/165.10 [1021]~E(x10211,x10212)+E(f241(x10213,x10211),f241(x10213,x10212))
% 164.85/165.10 [1022]~E(x10221,x10222)+E(f307(x10221,x10223,x10224,x10225,x10226),f307(x10222,x10223,x10224,x10225,x10226))
% 164.85/165.10 [1023]~E(x10231,x10232)+E(f307(x10233,x10231,x10234,x10235,x10236),f307(x10233,x10232,x10234,x10235,x10236))
% 164.85/165.10 [1024]~E(x10241,x10242)+E(f307(x10243,x10244,x10241,x10245,x10246),f307(x10243,x10244,x10242,x10245,x10246))
% 164.85/165.10 [1025]~E(x10251,x10252)+E(f307(x10253,x10254,x10255,x10251,x10256),f307(x10253,x10254,x10255,x10252,x10256))
% 164.85/165.10 [1026]~E(x10261,x10262)+E(f307(x10263,x10264,x10265,x10266,x10261),f307(x10263,x10264,x10265,x10266,x10262))
% 164.85/165.10 [1027]~E(x10271,x10272)+E(f369(x10271,x10273),f369(x10272,x10273))
% 164.85/165.10 [1028]~E(x10281,x10282)+E(f369(x10283,x10281),f369(x10283,x10282))
% 164.85/165.10 [1029]~E(x10291,x10292)+E(f498(x10291,x10293),f498(x10292,x10293))
% 164.85/165.10 [1030]~E(x10301,x10302)+E(f498(x10303,x10301),f498(x10303,x10302))
% 164.85/165.10 [1031]~E(x10311,x10312)+E(f686(x10311,x10313,x10314,x10315,x10316),f686(x10312,x10313,x10314,x10315,x10316))
% 164.85/165.10 [1032]~E(x10321,x10322)+E(f686(x10323,x10321,x10324,x10325,x10326),f686(x10323,x10322,x10324,x10325,x10326))
% 164.85/165.10 [1033]~E(x10331,x10332)+E(f686(x10333,x10334,x10331,x10335,x10336),f686(x10333,x10334,x10332,x10335,x10336))
% 164.85/165.10 [1034]~E(x10341,x10342)+E(f686(x10343,x10344,x10345,x10341,x10346),f686(x10343,x10344,x10345,x10342,x10346))
% 164.85/165.10 [1035]~E(x10351,x10352)+E(f686(x10353,x10354,x10355,x10356,x10351),f686(x10353,x10354,x10355,x10356,x10352))
% 164.85/165.10 [1036]~E(x10361,x10362)+E(f763(x10361,x10363),f763(x10362,x10363))
% 164.85/165.10 [1037]~E(x10371,x10372)+E(f763(x10373,x10371),f763(x10373,x10372))
% 164.85/165.10 [1038]~E(x10381,x10382)+E(f554(x10381,x10383,x10384),f554(x10382,x10383,x10384))
% 164.85/165.10 [1039]~E(x10391,x10392)+E(f554(x10393,x10391,x10394),f554(x10393,x10392,x10394))
% 164.85/165.10 [1040]~E(x10401,x10402)+E(f554(x10403,x10404,x10401),f554(x10403,x10404,x10402))
% 164.85/165.10 [1041]~E(x10411,x10412)+E(f278(x10411,x10413),f278(x10412,x10413))
% 164.85/165.10 [1042]~E(x10421,x10422)+E(f278(x10423,x10421),f278(x10423,x10422))
% 164.85/165.10 [1043]~E(x10431,x10432)+E(f614(x10431,x10433,x10434),f614(x10432,x10433,x10434))
% 164.85/165.10 [1044]~E(x10441,x10442)+E(f614(x10443,x10441,x10444),f614(x10443,x10442,x10444))
% 164.85/165.10 [1045]~E(x10451,x10452)+E(f614(x10453,x10454,x10451),f614(x10453,x10454,x10452))
% 164.85/165.10 [1046]~E(x10461,x10462)+E(f739(x10461,x10463,x10464,x10465,x10466),f739(x10462,x10463,x10464,x10465,x10466))
% 164.85/165.10 [1047]~E(x10471,x10472)+E(f739(x10473,x10471,x10474,x10475,x10476),f739(x10473,x10472,x10474,x10475,x10476))
% 164.85/165.10 [1048]~E(x10481,x10482)+E(f739(x10483,x10484,x10481,x10485,x10486),f739(x10483,x10484,x10482,x10485,x10486))
% 164.85/165.10 [1049]~E(x10491,x10492)+E(f739(x10493,x10494,x10495,x10491,x10496),f739(x10493,x10494,x10495,x10492,x10496))
% 164.85/165.10 [1050]~E(x10501,x10502)+E(f739(x10503,x10504,x10505,x10506,x10501),f739(x10503,x10504,x10505,x10506,x10502))
% 164.85/165.10 [1051]~E(x10511,x10512)+E(f828(x10511,x10513,x10514,x10515),f828(x10512,x10513,x10514,x10515))
% 164.85/165.10 [1052]~E(x10521,x10522)+E(f828(x10523,x10521,x10524,x10525),f828(x10523,x10522,x10524,x10525))
% 164.85/165.10 [1053]~E(x10531,x10532)+E(f828(x10533,x10534,x10531,x10535),f828(x10533,x10534,x10532,x10535))
% 164.85/165.10 [1054]~E(x10541,x10542)+E(f828(x10543,x10544,x10545,x10541),f828(x10543,x10544,x10545,x10542))
% 164.85/165.10 [1055]~E(x10551,x10552)+E(f722(x10551,x10553,x10554,x10555),f722(x10552,x10553,x10554,x10555))
% 164.85/165.10 [1056]~E(x10561,x10562)+E(f722(x10563,x10561,x10564,x10565),f722(x10563,x10562,x10564,x10565))
% 164.85/165.10 [1057]~E(x10571,x10572)+E(f722(x10573,x10574,x10571,x10575),f722(x10573,x10574,x10572,x10575))
% 164.85/165.10 [1058]~E(x10581,x10582)+E(f722(x10583,x10584,x10585,x10581),f722(x10583,x10584,x10585,x10582))
% 164.85/165.10 [1059]~E(x10591,x10592)+E(f567(x10591,x10593,x10594),f567(x10592,x10593,x10594))
% 164.85/165.10 [1060]~E(x10601,x10602)+E(f567(x10603,x10601,x10604),f567(x10603,x10602,x10604))
% 164.85/165.10 [1061]~E(x10611,x10612)+E(f567(x10613,x10614,x10611),f567(x10613,x10614,x10612))
% 164.85/165.10 [1062]~E(x10621,x10622)+E(f589(x10621,x10623,x10624),f589(x10622,x10623,x10624))
% 164.85/165.10 [1063]~E(x10631,x10632)+E(f589(x10633,x10631,x10634),f589(x10633,x10632,x10634))
% 164.85/165.10 [1064]~E(x10641,x10642)+E(f589(x10643,x10644,x10641),f589(x10643,x10644,x10642))
% 164.85/165.10 [1065]~E(x10651,x10652)+E(f888(x10651,x10653,x10654,x10655),f888(x10652,x10653,x10654,x10655))
% 164.85/165.10 [1066]~E(x10661,x10662)+E(f888(x10663,x10661,x10664,x10665),f888(x10663,x10662,x10664,x10665))
% 164.85/165.10 [1067]~E(x10671,x10672)+E(f888(x10673,x10674,x10671,x10675),f888(x10673,x10674,x10672,x10675))
% 164.85/165.10 [1068]~E(x10681,x10682)+E(f888(x10683,x10684,x10685,x10681),f888(x10683,x10684,x10685,x10682))
% 164.85/165.10 [1069]~E(x10691,x10692)+E(f857(x10691,x10693,x10694),f857(x10692,x10693,x10694))
% 164.85/165.10 [1070]~E(x10701,x10702)+E(f857(x10703,x10701,x10704),f857(x10703,x10702,x10704))
% 164.85/165.10 [1071]~E(x10711,x10712)+E(f857(x10713,x10714,x10711),f857(x10713,x10714,x10712))
% 164.85/165.10 [1072]~E(x10721,x10722)+E(f896(x10721,x10723,x10724,x10725,x10726),f896(x10722,x10723,x10724,x10725,x10726))
% 164.85/165.10 [1073]~E(x10731,x10732)+E(f896(x10733,x10731,x10734,x10735,x10736),f896(x10733,x10732,x10734,x10735,x10736))
% 164.85/165.10 [1074]~E(x10741,x10742)+E(f896(x10743,x10744,x10741,x10745,x10746),f896(x10743,x10744,x10742,x10745,x10746))
% 164.85/165.10 [1075]~E(x10751,x10752)+E(f896(x10753,x10754,x10755,x10751,x10756),f896(x10753,x10754,x10755,x10752,x10756))
% 164.85/165.10 [1076]~E(x10761,x10762)+E(f896(x10763,x10764,x10765,x10766,x10761),f896(x10763,x10764,x10765,x10766,x10762))
% 164.85/165.10 [1077]~E(x10771,x10772)+E(f286(x10771),f286(x10772))
% 164.85/165.10 [1078]~E(x10781,x10782)+E(f508(x10781,x10783,x10784),f508(x10782,x10783,x10784))
% 164.85/165.10 [1079]~E(x10791,x10792)+E(f508(x10793,x10791,x10794),f508(x10793,x10792,x10794))
% 164.85/165.10 [1080]~E(x10801,x10802)+E(f508(x10803,x10804,x10801),f508(x10803,x10804,x10802))
% 164.85/165.10 [1081]~E(x10811,x10812)+E(f749(x10811,x10813,x10814),f749(x10812,x10813,x10814))
% 164.85/165.10 [1082]~E(x10821,x10822)+E(f749(x10823,x10821,x10824),f749(x10823,x10822,x10824))
% 164.85/165.10 [1083]~E(x10831,x10832)+E(f749(x10833,x10834,x10831),f749(x10833,x10834,x10832))
% 164.85/165.10 [1084]~E(x10841,x10842)+E(f731(x10841,x10843,x10844,x10845),f731(x10842,x10843,x10844,x10845))
% 164.85/165.10 [1085]~E(x10851,x10852)+E(f731(x10853,x10851,x10854,x10855),f731(x10853,x10852,x10854,x10855))
% 164.85/165.10 [1086]~E(x10861,x10862)+E(f731(x10863,x10864,x10861,x10865),f731(x10863,x10864,x10862,x10865))
% 164.85/165.10 [1087]~E(x10871,x10872)+E(f731(x10873,x10874,x10875,x10871),f731(x10873,x10874,x10875,x10872))
% 164.85/165.10 [1088]~E(x10881,x10882)+E(f621(x10881,x10883,x10884,x10885,x10886),f621(x10882,x10883,x10884,x10885,x10886))
% 164.85/165.10 [1089]~E(x10891,x10892)+E(f621(x10893,x10891,x10894,x10895,x10896),f621(x10893,x10892,x10894,x10895,x10896))
% 164.85/165.10 [1090]~E(x10901,x10902)+E(f621(x10903,x10904,x10901,x10905,x10906),f621(x10903,x10904,x10902,x10905,x10906))
% 164.85/165.10 [1091]~E(x10911,x10912)+E(f621(x10913,x10914,x10915,x10911,x10916),f621(x10913,x10914,x10915,x10912,x10916))
% 164.85/165.10 [1092]~E(x10921,x10922)+E(f621(x10923,x10924,x10925,x10926,x10921),f621(x10923,x10924,x10925,x10926,x10922))
% 164.85/165.10 [1093]~E(x10931,x10932)+E(f512(x10931,x10933,x10934),f512(x10932,x10933,x10934))
% 164.85/165.10 [1094]~E(x10941,x10942)+E(f512(x10943,x10941,x10944),f512(x10943,x10942,x10944))
% 164.85/165.10 [1095]~E(x10951,x10952)+E(f512(x10953,x10954,x10951),f512(x10953,x10954,x10952))
% 164.85/165.10 [1096]~E(x10961,x10962)+E(f262(x10961,x10963,x10964),f262(x10962,x10963,x10964))
% 164.85/165.10 [1097]~E(x10971,x10972)+E(f262(x10973,x10971,x10974),f262(x10973,x10972,x10974))
% 164.85/165.10 [1098]~E(x10981,x10982)+E(f262(x10983,x10984,x10981),f262(x10983,x10984,x10982))
% 164.85/165.10 [1099]~E(x10991,x10992)+E(f667(x10991,x10993,x10994,x10995,x10996),f667(x10992,x10993,x10994,x10995,x10996))
% 164.85/165.10 [1100]~E(x11001,x11002)+E(f667(x11003,x11001,x11004,x11005,x11006),f667(x11003,x11002,x11004,x11005,x11006))
% 164.85/165.10 [1101]~E(x11011,x11012)+E(f667(x11013,x11014,x11011,x11015,x11016),f667(x11013,x11014,x11012,x11015,x11016))
% 164.85/165.10 [1102]~E(x11021,x11022)+E(f667(x11023,x11024,x11025,x11021,x11026),f667(x11023,x11024,x11025,x11022,x11026))
% 164.85/165.10 [1103]~E(x11031,x11032)+E(f667(x11033,x11034,x11035,x11036,x11031),f667(x11033,x11034,x11035,x11036,x11032))
% 164.85/165.10 [1104]~E(x11041,x11042)+E(f756(x11041,x11043,x11044,x11045,x11046),f756(x11042,x11043,x11044,x11045,x11046))
% 164.85/165.10 [1105]~E(x11051,x11052)+E(f756(x11053,x11051,x11054,x11055,x11056),f756(x11053,x11052,x11054,x11055,x11056))
% 164.85/165.10 [1106]~E(x11061,x11062)+E(f756(x11063,x11064,x11061,x11065,x11066),f756(x11063,x11064,x11062,x11065,x11066))
% 164.85/165.10 [1107]~E(x11071,x11072)+E(f756(x11073,x11074,x11075,x11071,x11076),f756(x11073,x11074,x11075,x11072,x11076))
% 164.85/165.10 [1108]~E(x11081,x11082)+E(f756(x11083,x11084,x11085,x11086,x11081),f756(x11083,x11084,x11085,x11086,x11082))
% 164.85/165.10 [1109]~E(x11091,x11092)+E(f552(x11091,x11093,x11094),f552(x11092,x11093,x11094))
% 164.85/165.10 [1110]~E(x11101,x11102)+E(f552(x11103,x11101,x11104),f552(x11103,x11102,x11104))
% 164.85/165.10 [1111]~E(x11111,x11112)+E(f552(x11113,x11114,x11111),f552(x11113,x11114,x11112))
% 164.85/165.10 [1112]~E(x11121,x11122)+E(f615(x11121,x11123,x11124),f615(x11122,x11123,x11124))
% 164.85/165.10 [1113]~E(x11131,x11132)+E(f615(x11133,x11131,x11134),f615(x11133,x11132,x11134))
% 164.85/165.10 [1114]~E(x11141,x11142)+E(f615(x11143,x11144,x11141),f615(x11143,x11144,x11142))
% 164.85/165.10 [1115]~E(x11151,x11152)+E(f623(x11151,x11153,x11154,x11155),f623(x11152,x11153,x11154,x11155))
% 164.85/165.10 [1116]~E(x11161,x11162)+E(f623(x11163,x11161,x11164,x11165),f623(x11163,x11162,x11164,x11165))
% 164.85/165.10 [1117]~E(x11171,x11172)+E(f623(x11173,x11174,x11171,x11175),f623(x11173,x11174,x11172,x11175))
% 164.85/165.10 [1118]~E(x11181,x11182)+E(f623(x11183,x11184,x11185,x11181),f623(x11183,x11184,x11185,x11182))
% 164.85/165.10 [1119]~E(x11191,x11192)+E(f481(x11191,x11193,x11194,x11195,x11196,x11197),f481(x11192,x11193,x11194,x11195,x11196,x11197))
% 164.85/165.10 [1120]~E(x11201,x11202)+E(f481(x11203,x11201,x11204,x11205,x11206,x11207),f481(x11203,x11202,x11204,x11205,x11206,x11207))
% 164.85/165.10 [1121]~E(x11211,x11212)+E(f481(x11213,x11214,x11211,x11215,x11216,x11217),f481(x11213,x11214,x11212,x11215,x11216,x11217))
% 164.85/165.10 [1122]~E(x11221,x11222)+E(f481(x11223,x11224,x11225,x11221,x11226,x11227),f481(x11223,x11224,x11225,x11222,x11226,x11227))
% 164.85/165.10 [1123]~E(x11231,x11232)+E(f481(x11233,x11234,x11235,x11236,x11231,x11237),f481(x11233,x11234,x11235,x11236,x11232,x11237))
% 164.85/165.10 [1124]~E(x11241,x11242)+E(f481(x11243,x11244,x11245,x11246,x11247,x11241),f481(x11243,x11244,x11245,x11246,x11247,x11242))
% 164.85/165.10 [1125]~E(x11251,x11252)+E(f232(x11251,x11253),f232(x11252,x11253))
% 164.85/165.10 [1126]~E(x11261,x11262)+E(f232(x11263,x11261),f232(x11263,x11262))
% 164.85/165.10 [1127]~E(x11271,x11272)+E(f849(x11271,x11273),f849(x11272,x11273))
% 164.85/165.10 [1128]~E(x11281,x11282)+E(f849(x11283,x11281),f849(x11283,x11282))
% 164.85/165.10 [1129]~E(x11291,x11292)+E(f376(x11291,x11293,x11294,x11295),f376(x11292,x11293,x11294,x11295))
% 164.85/165.10 [1130]~E(x11301,x11302)+E(f376(x11303,x11301,x11304,x11305),f376(x11303,x11302,x11304,x11305))
% 164.85/165.10 [1131]~E(x11311,x11312)+E(f376(x11313,x11314,x11311,x11315),f376(x11313,x11314,x11312,x11315))
% 164.85/165.10 [1132]~E(x11321,x11322)+E(f376(x11323,x11324,x11325,x11321),f376(x11323,x11324,x11325,x11322))
% 164.85/165.10 [1133]~E(x11331,x11332)+E(f826(x11331,x11333,x11334),f826(x11332,x11333,x11334))
% 164.85/165.10 [1134]~E(x11341,x11342)+E(f826(x11343,x11341,x11344),f826(x11343,x11342,x11344))
% 164.85/165.10 [1135]~E(x11351,x11352)+E(f826(x11353,x11354,x11351),f826(x11353,x11354,x11352))
% 164.85/165.10 [1136]~E(x11361,x11362)+E(f526(x11361,x11363,x11364),f526(x11362,x11363,x11364))
% 164.85/165.10 [1137]~E(x11371,x11372)+E(f526(x11373,x11371,x11374),f526(x11373,x11372,x11374))
% 164.85/165.10 [1138]~E(x11381,x11382)+E(f526(x11383,x11384,x11381),f526(x11383,x11384,x11382))
% 164.85/165.10 [1139]~E(x11391,x11392)+E(f240(x11391,x11393,x11394,x11395,x11396),f240(x11392,x11393,x11394,x11395,x11396))
% 164.85/165.10 [1140]~E(x11401,x11402)+E(f240(x11403,x11401,x11404,x11405,x11406),f240(x11403,x11402,x11404,x11405,x11406))
% 164.85/165.10 [1141]~E(x11411,x11412)+E(f240(x11413,x11414,x11411,x11415,x11416),f240(x11413,x11414,x11412,x11415,x11416))
% 164.85/165.10 [1142]~E(x11421,x11422)+E(f240(x11423,x11424,x11425,x11421,x11426),f240(x11423,x11424,x11425,x11422,x11426))
% 164.85/165.10 [1143]~E(x11431,x11432)+E(f240(x11433,x11434,x11435,x11436,x11431),f240(x11433,x11434,x11435,x11436,x11432))
% 164.85/165.10 [1144]~E(x11441,x11442)+E(f902(x11441,x11443),f902(x11442,x11443))
% 164.85/165.10 [1145]~E(x11451,x11452)+E(f902(x11453,x11451),f902(x11453,x11452))
% 164.85/165.10 [1146]~E(x11461,x11462)+E(f785(x11461,x11463,x11464,x11465),f785(x11462,x11463,x11464,x11465))
% 164.85/165.10 [1147]~E(x11471,x11472)+E(f785(x11473,x11471,x11474,x11475),f785(x11473,x11472,x11474,x11475))
% 164.85/165.10 [1148]~E(x11481,x11482)+E(f785(x11483,x11484,x11481,x11485),f785(x11483,x11484,x11482,x11485))
% 164.85/165.10 [1149]~E(x11491,x11492)+E(f785(x11493,x11494,x11495,x11491),f785(x11493,x11494,x11495,x11492))
% 164.85/165.10 [1150]~E(x11501,x11502)+E(f735(x11501,x11503,x11504,x11505),f735(x11502,x11503,x11504,x11505))
% 164.85/165.10 [1151]~E(x11511,x11512)+E(f735(x11513,x11511,x11514,x11515),f735(x11513,x11512,x11514,x11515))
% 164.85/165.10 [1152]~E(x11521,x11522)+E(f735(x11523,x11524,x11521,x11525),f735(x11523,x11524,x11522,x11525))
% 164.85/165.10 [1153]~E(x11531,x11532)+E(f735(x11533,x11534,x11535,x11531),f735(x11533,x11534,x11535,x11532))
% 164.85/165.10 [1154]~E(x11541,x11542)+E(f509(x11541,x11543,x11544),f509(x11542,x11543,x11544))
% 164.85/165.10 [1155]~E(x11551,x11552)+E(f509(x11553,x11551,x11554),f509(x11553,x11552,x11554))
% 164.85/165.10 [1156]~E(x11561,x11562)+E(f509(x11563,x11564,x11561),f509(x11563,x11564,x11562))
% 164.85/165.10 [1157]~E(x11571,x11572)+E(f738(x11571,x11573,x11574),f738(x11572,x11573,x11574))
% 164.85/165.10 [1158]~E(x11581,x11582)+E(f738(x11583,x11581,x11584),f738(x11583,x11582,x11584))
% 164.85/165.10 [1159]~E(x11591,x11592)+E(f738(x11593,x11594,x11591),f738(x11593,x11594,x11592))
% 164.85/165.10 [1160]~E(x11601,x11602)+E(f546(x11601,x11603,x11604,x11605,x11606),f546(x11602,x11603,x11604,x11605,x11606))
% 164.85/165.10 [1161]~E(x11611,x11612)+E(f546(x11613,x11611,x11614,x11615,x11616),f546(x11613,x11612,x11614,x11615,x11616))
% 164.85/165.10 [1162]~E(x11621,x11622)+E(f546(x11623,x11624,x11621,x11625,x11626),f546(x11623,x11624,x11622,x11625,x11626))
% 164.85/165.10 [1163]~E(x11631,x11632)+E(f546(x11633,x11634,x11635,x11631,x11636),f546(x11633,x11634,x11635,x11632,x11636))
% 164.85/165.10 [1164]~E(x11641,x11642)+E(f546(x11643,x11644,x11645,x11646,x11641),f546(x11643,x11644,x11645,x11646,x11642))
% 164.85/165.10 [1165]~E(x11651,x11652)+E(f841(x11651,x11653,x11654,x11655),f841(x11652,x11653,x11654,x11655))
% 164.85/165.10 [1166]~E(x11661,x11662)+E(f841(x11663,x11661,x11664,x11665),f841(x11663,x11662,x11664,x11665))
% 164.85/165.10 [1167]~E(x11671,x11672)+E(f841(x11673,x11674,x11671,x11675),f841(x11673,x11674,x11672,x11675))
% 164.85/165.10 [1168]~E(x11681,x11682)+E(f841(x11683,x11684,x11685,x11681),f841(x11683,x11684,x11685,x11682))
% 164.85/165.10 [1169]~E(x11691,x11692)+E(f431(x11691,x11693,x11694),f431(x11692,x11693,x11694))
% 164.85/165.10 [1170]~E(x11701,x11702)+E(f431(x11703,x11701,x11704),f431(x11703,x11702,x11704))
% 164.85/165.10 [1171]~E(x11711,x11712)+E(f431(x11713,x11714,x11711),f431(x11713,x11714,x11712))
% 164.85/165.10 [1172]~E(x11721,x11722)+E(f746(x11721,x11723,x11724,x11725),f746(x11722,x11723,x11724,x11725))
% 164.85/165.10 [1173]~E(x11731,x11732)+E(f746(x11733,x11731,x11734,x11735),f746(x11733,x11732,x11734,x11735))
% 164.85/165.10 [1174]~E(x11741,x11742)+E(f746(x11743,x11744,x11741,x11745),f746(x11743,x11744,x11742,x11745))
% 164.85/165.10 [1175]~E(x11751,x11752)+E(f746(x11753,x11754,x11755,x11751),f746(x11753,x11754,x11755,x11752))
% 164.85/165.10 [1176]~E(x11761,x11762)+E(f145(x11761),f145(x11762))
% 164.85/165.10 [1177]~E(x11771,x11772)+E(f463(x11771,x11773,x11774,x11775),f463(x11772,x11773,x11774,x11775))
% 164.85/165.10 [1178]~E(x11781,x11782)+E(f463(x11783,x11781,x11784,x11785),f463(x11783,x11782,x11784,x11785))
% 164.85/165.10 [1179]~E(x11791,x11792)+E(f463(x11793,x11794,x11791,x11795),f463(x11793,x11794,x11792,x11795))
% 164.85/165.10 [1180]~E(x11801,x11802)+E(f463(x11803,x11804,x11805,x11801),f463(x11803,x11804,x11805,x11802))
% 164.85/165.10 [1181]~E(x11811,x11812)+E(f718(x11811,x11813,x11814),f718(x11812,x11813,x11814))
% 164.85/165.10 [1182]~E(x11821,x11822)+E(f718(x11823,x11821,x11824),f718(x11823,x11822,x11824))
% 164.85/165.10 [1183]~E(x11831,x11832)+E(f718(x11833,x11834,x11831),f718(x11833,x11834,x11832))
% 164.85/165.10 [1184]~E(x11841,x11842)+E(f142(x11841,x11843),f142(x11842,x11843))
% 164.85/165.10 [1185]~E(x11851,x11852)+E(f142(x11853,x11851),f142(x11853,x11852))
% 164.85/165.10 [1186]~E(x11861,x11862)+E(f371(x11861,x11863,x11864),f371(x11862,x11863,x11864))
% 164.85/165.10 [1187]~E(x11871,x11872)+E(f371(x11873,x11871,x11874),f371(x11873,x11872,x11874))
% 164.85/165.10 [1188]~E(x11881,x11882)+E(f371(x11883,x11884,x11881),f371(x11883,x11884,x11882))
% 164.85/165.10 [1189]~E(x11891,x11892)+E(f884(x11891,x11893,x11894,x11895),f884(x11892,x11893,x11894,x11895))
% 164.85/165.10 [1190]~E(x11901,x11902)+E(f884(x11903,x11901,x11904,x11905),f884(x11903,x11902,x11904,x11905))
% 164.85/165.10 [1191]~E(x11911,x11912)+E(f884(x11913,x11914,x11911,x11915),f884(x11913,x11914,x11912,x11915))
% 164.85/165.10 [1192]~E(x11921,x11922)+E(f884(x11923,x11924,x11925,x11921),f884(x11923,x11924,x11925,x11922))
% 164.85/165.10 [1193]~E(x11931,x11932)+E(f846(x11931,x11933),f846(x11932,x11933))
% 164.85/165.10 [1194]~E(x11941,x11942)+E(f846(x11943,x11941),f846(x11943,x11942))
% 164.85/165.10 [1195]~E(x11951,x11952)+E(f780(x11951,x11953),f780(x11952,x11953))
% 164.85/165.10 [1196]~E(x11961,x11962)+E(f780(x11963,x11961),f780(x11963,x11962))
% 164.85/165.10 [1197]~E(x11971,x11972)+E(f394(x11971,x11973,x11974,x11975),f394(x11972,x11973,x11974,x11975))
% 164.85/165.10 [1198]~E(x11981,x11982)+E(f394(x11983,x11981,x11984,x11985),f394(x11983,x11982,x11984,x11985))
% 164.85/165.10 [1199]~E(x11991,x11992)+E(f394(x11993,x11994,x11991,x11995),f394(x11993,x11994,x11992,x11995))
% 164.85/165.10 [1200]~E(x12001,x12002)+E(f394(x12003,x12004,x12005,x12001),f394(x12003,x12004,x12005,x12002))
% 164.85/165.10 [1201]~E(x12011,x12012)+E(f644(x12011,x12013,x12014,x12015,x12016,x12017),f644(x12012,x12013,x12014,x12015,x12016,x12017))
% 164.85/165.10 [1202]~E(x12021,x12022)+E(f644(x12023,x12021,x12024,x12025,x12026,x12027),f644(x12023,x12022,x12024,x12025,x12026,x12027))
% 164.85/165.10 [1203]~E(x12031,x12032)+E(f644(x12033,x12034,x12031,x12035,x12036,x12037),f644(x12033,x12034,x12032,x12035,x12036,x12037))
% 164.85/165.10 [1204]~E(x12041,x12042)+E(f644(x12043,x12044,x12045,x12041,x12046,x12047),f644(x12043,x12044,x12045,x12042,x12046,x12047))
% 164.85/165.10 [1205]~E(x12051,x12052)+E(f644(x12053,x12054,x12055,x12056,x12051,x12057),f644(x12053,x12054,x12055,x12056,x12052,x12057))
% 164.85/165.10 [1206]~E(x12061,x12062)+E(f644(x12063,x12064,x12065,x12066,x12067,x12061),f644(x12063,x12064,x12065,x12066,x12067,x12062))
% 164.85/165.10 [1207]~E(x12071,x12072)+E(f640(x12071,x12073,x12074),f640(x12072,x12073,x12074))
% 164.85/165.10 [1208]~E(x12081,x12082)+E(f640(x12083,x12081,x12084),f640(x12083,x12082,x12084))
% 164.85/165.10 [1209]~E(x12091,x12092)+E(f640(x12093,x12094,x12091),f640(x12093,x12094,x12092))
% 164.85/165.10 [1210]~E(x12101,x12102)+E(f542(x12101,x12103,x12104,x12105),f542(x12102,x12103,x12104,x12105))
% 164.85/165.10 [1211]~E(x12111,x12112)+E(f542(x12113,x12111,x12114,x12115),f542(x12113,x12112,x12114,x12115))
% 164.85/165.10 [1212]~E(x12121,x12122)+E(f542(x12123,x12124,x12121,x12125),f542(x12123,x12124,x12122,x12125))
% 164.85/165.10 [1213]~E(x12131,x12132)+E(f542(x12133,x12134,x12135,x12131),f542(x12133,x12134,x12135,x12132))
% 164.85/165.10 [1214]~E(x12141,x12142)+E(f845(x12141,x12143,x12144),f845(x12142,x12143,x12144))
% 164.85/165.10 [1215]~E(x12151,x12152)+E(f845(x12153,x12151,x12154),f845(x12153,x12152,x12154))
% 164.85/165.10 [1216]~E(x12161,x12162)+E(f845(x12163,x12164,x12161),f845(x12163,x12164,x12162))
% 164.85/165.10 [1217]~E(x12171,x12172)+E(f380(x12171,x12173,x12174,x12175,x12176,x12177),f380(x12172,x12173,x12174,x12175,x12176,x12177))
% 164.85/165.10 [1218]~E(x12181,x12182)+E(f380(x12183,x12181,x12184,x12185,x12186,x12187),f380(x12183,x12182,x12184,x12185,x12186,x12187))
% 164.85/165.10 [1219]~E(x12191,x12192)+E(f380(x12193,x12194,x12191,x12195,x12196,x12197),f380(x12193,x12194,x12192,x12195,x12196,x12197))
% 164.85/165.10 [1220]~E(x12201,x12202)+E(f380(x12203,x12204,x12205,x12201,x12206,x12207),f380(x12203,x12204,x12205,x12202,x12206,x12207))
% 164.85/165.10 [1221]~E(x12211,x12212)+E(f380(x12213,x12214,x12215,x12216,x12211,x12217),f380(x12213,x12214,x12215,x12216,x12212,x12217))
% 164.85/165.10 [1222]~E(x12221,x12222)+E(f380(x12223,x12224,x12225,x12226,x12227,x12221),f380(x12223,x12224,x12225,x12226,x12227,x12222))
% 164.85/165.10 [1223]~E(x12231,x12232)+E(f741(x12231,x12233,x12234,x12235,x12236),f741(x12232,x12233,x12234,x12235,x12236))
% 164.85/165.10 [1224]~E(x12241,x12242)+E(f741(x12243,x12241,x12244,x12245,x12246),f741(x12243,x12242,x12244,x12245,x12246))
% 164.85/165.10 [1225]~E(x12251,x12252)+E(f741(x12253,x12254,x12251,x12255,x12256),f741(x12253,x12254,x12252,x12255,x12256))
% 164.85/165.10 [1226]~E(x12261,x12262)+E(f741(x12263,x12264,x12265,x12261,x12266),f741(x12263,x12264,x12265,x12262,x12266))
% 164.85/165.10 [1227]~E(x12271,x12272)+E(f741(x12273,x12274,x12275,x12276,x12271),f741(x12273,x12274,x12275,x12276,x12272))
% 164.85/165.10 [1228]~E(x12281,x12282)+E(f305(x12281,x12283,x12284),f305(x12282,x12283,x12284))
% 164.85/165.10 [1229]~E(x12291,x12292)+E(f305(x12293,x12291,x12294),f305(x12293,x12292,x12294))
% 164.85/165.10 [1230]~E(x12301,x12302)+E(f305(x12303,x12304,x12301),f305(x12303,x12304,x12302))
% 164.85/165.10 [1231]~E(x12311,x12312)+E(f213(x12311,x12313),f213(x12312,x12313))
% 164.85/165.10 [1232]~E(x12321,x12322)+E(f213(x12323,x12321),f213(x12323,x12322))
% 164.85/165.10 [1233]~E(x12331,x12332)+E(f411(x12331,x12333,x12334,x12335),f411(x12332,x12333,x12334,x12335))
% 164.85/165.10 [1234]~E(x12341,x12342)+E(f411(x12343,x12341,x12344,x12345),f411(x12343,x12342,x12344,x12345))
% 164.85/165.10 [1235]~E(x12351,x12352)+E(f411(x12353,x12354,x12351,x12355),f411(x12353,x12354,x12352,x12355))
% 164.85/165.10 [1236]~E(x12361,x12362)+E(f411(x12363,x12364,x12365,x12361),f411(x12363,x12364,x12365,x12362))
% 164.85/165.10 [1237]~E(x12371,x12372)+E(f140(x12371),f140(x12372))
% 164.85/165.10 [1238]~E(x12381,x12382)+E(f605(x12381,x12383,x12384,x12385),f605(x12382,x12383,x12384,x12385))
% 164.85/165.10 [1239]~E(x12391,x12392)+E(f605(x12393,x12391,x12394,x12395),f605(x12393,x12392,x12394,x12395))
% 164.85/165.10 [1240]~E(x12401,x12402)+E(f605(x12403,x12404,x12401,x12405),f605(x12403,x12404,x12402,x12405))
% 164.85/165.10 [1241]~E(x12411,x12412)+E(f605(x12413,x12414,x12415,x12411),f605(x12413,x12414,x12415,x12412))
% 164.85/165.10 [1242]~E(x12421,x12422)+E(f634(x12421,x12423,x12424,x12425),f634(x12422,x12423,x12424,x12425))
% 164.85/165.10 [1243]~E(x12431,x12432)+E(f634(x12433,x12431,x12434,x12435),f634(x12433,x12432,x12434,x12435))
% 164.85/165.10 [1244]~E(x12441,x12442)+E(f634(x12443,x12444,x12441,x12445),f634(x12443,x12444,x12442,x12445))
% 164.85/165.10 [1245]~E(x12451,x12452)+E(f634(x12453,x12454,x12455,x12451),f634(x12453,x12454,x12455,x12452))
% 164.85/165.10 [1246]~E(x12461,x12462)+E(f683(x12461,x12463,x12464,x12465),f683(x12462,x12463,x12464,x12465))
% 164.85/165.10 [1247]~E(x12471,x12472)+E(f683(x12473,x12471,x12474,x12475),f683(x12473,x12472,x12474,x12475))
% 164.85/165.10 [1248]~E(x12481,x12482)+E(f683(x12483,x12484,x12481,x12485),f683(x12483,x12484,x12482,x12485))
% 164.85/165.10 [1249]~E(x12491,x12492)+E(f683(x12493,x12494,x12495,x12491),f683(x12493,x12494,x12495,x12492))
% 164.85/165.10 [1250]~E(x12501,x12502)+E(f574(x12501,x12503,x12504,x12505),f574(x12502,x12503,x12504,x12505))
% 164.85/165.10 [1251]~E(x12511,x12512)+E(f574(x12513,x12511,x12514,x12515),f574(x12513,x12512,x12514,x12515))
% 164.85/165.10 [1252]~E(x12521,x12522)+E(f574(x12523,x12524,x12521,x12525),f574(x12523,x12524,x12522,x12525))
% 164.85/165.10 [1253]~E(x12531,x12532)+E(f574(x12533,x12534,x12535,x12531),f574(x12533,x12534,x12535,x12532))
% 164.85/165.10 [1254]~E(x12541,x12542)+E(f798(x12541,x12543,x12544),f798(x12542,x12543,x12544))
% 164.85/165.10 [1255]~E(x12551,x12552)+E(f798(x12553,x12551,x12554),f798(x12553,x12552,x12554))
% 164.85/165.10 [1256]~E(x12561,x12562)+E(f798(x12563,x12564,x12561),f798(x12563,x12564,x12562))
% 164.85/165.10 [1257]~E(x12571,x12572)+E(f906(x12571),f906(x12572))
% 164.85/165.10 [1258]~E(x12581,x12582)+E(f102(x12581,x12583,x12584),f102(x12582,x12583,x12584))
% 164.85/165.10 [1259]~E(x12591,x12592)+E(f102(x12593,x12591,x12594),f102(x12593,x12592,x12594))
% 164.85/165.10 [1260]~E(x12601,x12602)+E(f102(x12603,x12604,x12601),f102(x12603,x12604,x12602))
% 164.85/165.10 [1261]~E(x12611,x12612)+E(f653(x12611,x12613),f653(x12612,x12613))
% 164.85/165.10 [1262]~E(x12621,x12622)+E(f653(x12623,x12621),f653(x12623,x12622))
% 164.85/165.10 [1263]~E(x12631,x12632)+E(f833(x12631,x12633,x12634,x12635,x12636),f833(x12632,x12633,x12634,x12635,x12636))
% 164.85/165.10 [1264]~E(x12641,x12642)+E(f833(x12643,x12641,x12644,x12645,x12646),f833(x12643,x12642,x12644,x12645,x12646))
% 164.85/165.10 [1265]~E(x12651,x12652)+E(f833(x12653,x12654,x12651,x12655,x12656),f833(x12653,x12654,x12652,x12655,x12656))
% 164.85/165.10 [1266]~E(x12661,x12662)+E(f833(x12663,x12664,x12665,x12661,x12666),f833(x12663,x12664,x12665,x12662,x12666))
% 164.85/165.10 [1267]~E(x12671,x12672)+E(f833(x12673,x12674,x12675,x12676,x12671),f833(x12673,x12674,x12675,x12676,x12672))
% 164.85/165.10 [1268]~E(x12681,x12682)+E(f639(x12681,x12683,x12684),f639(x12682,x12683,x12684))
% 164.85/165.10 [1269]~E(x12691,x12692)+E(f639(x12693,x12691,x12694),f639(x12693,x12692,x12694))
% 164.85/165.10 [1270]~E(x12701,x12702)+E(f639(x12703,x12704,x12701),f639(x12703,x12704,x12702))
% 164.85/165.10 [1271]~E(x12711,x12712)+E(f503(x12711,x12713,x12714),f503(x12712,x12713,x12714))
% 164.85/165.10 [1272]~E(x12721,x12722)+E(f503(x12723,x12721,x12724),f503(x12723,x12722,x12724))
% 164.85/165.10 [1273]~E(x12731,x12732)+E(f503(x12733,x12734,x12731),f503(x12733,x12734,x12732))
% 164.85/165.10 [1274]~E(x12741,x12742)+E(f551(x12741,x12743,x12744,x12745,x12746,x12747),f551(x12742,x12743,x12744,x12745,x12746,x12747))
% 164.85/165.10 [1275]~E(x12751,x12752)+E(f551(x12753,x12751,x12754,x12755,x12756,x12757),f551(x12753,x12752,x12754,x12755,x12756,x12757))
% 164.85/165.10 [1276]~E(x12761,x12762)+E(f551(x12763,x12764,x12761,x12765,x12766,x12767),f551(x12763,x12764,x12762,x12765,x12766,x12767))
% 164.85/165.10 [1277]~E(x12771,x12772)+E(f551(x12773,x12774,x12775,x12771,x12776,x12777),f551(x12773,x12774,x12775,x12772,x12776,x12777))
% 164.85/165.10 [1278]~E(x12781,x12782)+E(f551(x12783,x12784,x12785,x12786,x12781,x12787),f551(x12783,x12784,x12785,x12786,x12782,x12787))
% 164.85/165.10 [1279]~E(x12791,x12792)+E(f551(x12793,x12794,x12795,x12796,x12797,x12791),f551(x12793,x12794,x12795,x12796,x12797,x12792))
% 164.85/165.10 [1280]~E(x12801,x12802)+E(f791(x12801,x12803),f791(x12802,x12803))
% 164.85/165.10 [1281]~E(x12811,x12812)+E(f791(x12813,x12811),f791(x12813,x12812))
% 164.85/165.10 [1282]~E(x12821,x12822)+E(f183(x12821,x12823,x12824),f183(x12822,x12823,x12824))
% 164.85/165.10 [1283]~E(x12831,x12832)+E(f183(x12833,x12831,x12834),f183(x12833,x12832,x12834))
% 164.85/165.10 [1284]~E(x12841,x12842)+E(f183(x12843,x12844,x12841),f183(x12843,x12844,x12842))
% 164.85/165.10 [1285]~E(x12851,x12852)+E(f211(x12851,x12853,x12854,x12855),f211(x12852,x12853,x12854,x12855))
% 164.85/165.10 [1286]~E(x12861,x12862)+E(f211(x12863,x12861,x12864,x12865),f211(x12863,x12862,x12864,x12865))
% 164.85/165.10 [1287]~E(x12871,x12872)+E(f211(x12873,x12874,x12871,x12875),f211(x12873,x12874,x12872,x12875))
% 164.85/165.10 [1288]~E(x12881,x12882)+E(f211(x12883,x12884,x12885,x12881),f211(x12883,x12884,x12885,x12882))
% 164.85/165.10 [1289]~E(x12891,x12892)+E(f602(x12891,x12893),f602(x12892,x12893))
% 164.85/165.10 [1290]~E(x12901,x12902)+E(f602(x12903,x12901),f602(x12903,x12902))
% 164.85/165.10 [1291]~E(x12911,x12912)+E(f609(x12911,x12913,x12914,x12915,x12916),f609(x12912,x12913,x12914,x12915,x12916))
% 164.85/165.10 [1292]~E(x12921,x12922)+E(f609(x12923,x12921,x12924,x12925,x12926),f609(x12923,x12922,x12924,x12925,x12926))
% 164.85/165.10 [1293]~E(x12931,x12932)+E(f609(x12933,x12934,x12931,x12935,x12936),f609(x12933,x12934,x12932,x12935,x12936))
% 164.85/165.10 [1294]~E(x12941,x12942)+E(f609(x12943,x12944,x12945,x12941,x12946),f609(x12943,x12944,x12945,x12942,x12946))
% 164.85/165.10 [1295]~E(x12951,x12952)+E(f609(x12953,x12954,x12955,x12956,x12951),f609(x12953,x12954,x12955,x12956,x12952))
% 164.85/165.10 [1296]~E(x12961,x12962)+E(f129(x12961,x12963,x12964),f129(x12962,x12963,x12964))
% 164.85/165.10 [1297]~E(x12971,x12972)+E(f129(x12973,x12971,x12974),f129(x12973,x12972,x12974))
% 164.85/165.10 [1298]~E(x12981,x12982)+E(f129(x12983,x12984,x12981),f129(x12983,x12984,x12982))
% 164.85/165.10 [1299]~E(x12991,x12992)+E(f887(x12991,x12993,x12994),f887(x12992,x12993,x12994))
% 164.85/165.10 [1300]~E(x13001,x13002)+E(f887(x13003,x13001,x13004),f887(x13003,x13002,x13004))
% 164.85/165.10 [1301]~E(x13011,x13012)+E(f887(x13013,x13014,x13011),f887(x13013,x13014,x13012))
% 164.85/165.10 [1302]~E(x13021,x13022)+E(f490(x13021),f490(x13022))
% 164.85/165.10 [1303]~E(x13031,x13032)+E(f464(x13031,x13033,x13034),f464(x13032,x13033,x13034))
% 164.85/165.10 [1304]~E(x13041,x13042)+E(f464(x13043,x13041,x13044),f464(x13043,x13042,x13044))
% 164.85/165.10 [1305]~E(x13051,x13052)+E(f464(x13053,x13054,x13051),f464(x13053,x13054,x13052))
% 164.85/165.10 [1306]~E(x13061,x13062)+E(f358(x13061,x13063,x13064),f358(x13062,x13063,x13064))
% 164.85/165.10 [1307]~E(x13071,x13072)+E(f358(x13073,x13071,x13074),f358(x13073,x13072,x13074))
% 164.85/165.10 [1308]~E(x13081,x13082)+E(f358(x13083,x13084,x13081),f358(x13083,x13084,x13082))
% 164.85/165.10 [1309]~E(x13091,x13092)+E(f747(x13091,x13093,x13094,x13095,x13096),f747(x13092,x13093,x13094,x13095,x13096))
% 164.85/165.10 [1310]~E(x13101,x13102)+E(f747(x13103,x13101,x13104,x13105,x13106),f747(x13103,x13102,x13104,x13105,x13106))
% 164.85/165.10 [1311]~E(x13111,x13112)+E(f747(x13113,x13114,x13111,x13115,x13116),f747(x13113,x13114,x13112,x13115,x13116))
% 164.85/165.10 [1312]~E(x13121,x13122)+E(f747(x13123,x13124,x13125,x13121,x13126),f747(x13123,x13124,x13125,x13122,x13126))
% 164.85/165.10 [1313]~E(x13131,x13132)+E(f747(x13133,x13134,x13135,x13136,x13131),f747(x13133,x13134,x13135,x13136,x13132))
% 164.85/165.10 [1314]~E(x13141,x13142)+E(f872(x13141,x13143,x13144,x13145),f872(x13142,x13143,x13144,x13145))
% 164.85/165.10 [1315]~E(x13151,x13152)+E(f872(x13153,x13151,x13154,x13155),f872(x13153,x13152,x13154,x13155))
% 164.85/165.10 [1316]~E(x13161,x13162)+E(f872(x13163,x13164,x13161,x13165),f872(x13163,x13164,x13162,x13165))
% 164.85/165.10 [1317]~E(x13171,x13172)+E(f872(x13173,x13174,x13175,x13171),f872(x13173,x13174,x13175,x13172))
% 164.85/165.10 [1318]~E(x13181,x13182)+E(f619(x13181,x13183,x13184),f619(x13182,x13183,x13184))
% 164.85/165.10 [1319]~E(x13191,x13192)+E(f619(x13193,x13191,x13194),f619(x13193,x13192,x13194))
% 164.85/165.10 [1320]~E(x13201,x13202)+E(f619(x13203,x13204,x13201),f619(x13203,x13204,x13202))
% 164.85/165.10 [1321]~E(x13211,x13212)+E(f876(x13211,x13213,x13214,x13215),f876(x13212,x13213,x13214,x13215))
% 164.85/165.10 [1322]~E(x13221,x13222)+E(f876(x13223,x13221,x13224,x13225),f876(x13223,x13222,x13224,x13225))
% 164.85/165.10 [1323]~E(x13231,x13232)+E(f876(x13233,x13234,x13231,x13235),f876(x13233,x13234,x13232,x13235))
% 164.85/165.10 [1324]~E(x13241,x13242)+E(f876(x13243,x13244,x13245,x13241),f876(x13243,x13244,x13245,x13242))
% 164.85/165.10 [1325]~E(x13251,x13252)+E(f447(x13251,x13253,x13254,x13255,x13256,x13257),f447(x13252,x13253,x13254,x13255,x13256,x13257))
% 164.85/165.10 [1326]~E(x13261,x13262)+E(f447(x13263,x13261,x13264,x13265,x13266,x13267),f447(x13263,x13262,x13264,x13265,x13266,x13267))
% 164.85/165.10 [1327]~E(x13271,x13272)+E(f447(x13273,x13274,x13271,x13275,x13276,x13277),f447(x13273,x13274,x13272,x13275,x13276,x13277))
% 164.85/165.10 [1328]~E(x13281,x13282)+E(f447(x13283,x13284,x13285,x13281,x13286,x13287),f447(x13283,x13284,x13285,x13282,x13286,x13287))
% 164.85/165.10 [1329]~E(x13291,x13292)+E(f447(x13293,x13294,x13295,x13296,x13291,x13297),f447(x13293,x13294,x13295,x13296,x13292,x13297))
% 164.85/165.10 [1330]~E(x13301,x13302)+E(f447(x13303,x13304,x13305,x13306,x13307,x13301),f447(x13303,x13304,x13305,x13306,x13307,x13302))
% 164.85/165.10 [1331]~E(x13311,x13312)+E(f710(x13311,x13313,x13314,x13315,x13316),f710(x13312,x13313,x13314,x13315,x13316))
% 164.85/165.10 [1332]~E(x13321,x13322)+E(f710(x13323,x13321,x13324,x13325,x13326),f710(x13323,x13322,x13324,x13325,x13326))
% 164.85/165.10 [1333]~E(x13331,x13332)+E(f710(x13333,x13334,x13331,x13335,x13336),f710(x13333,x13334,x13332,x13335,x13336))
% 164.85/165.10 [1334]~E(x13341,x13342)+E(f710(x13343,x13344,x13345,x13341,x13346),f710(x13343,x13344,x13345,x13342,x13346))
% 164.85/165.10 [1335]~E(x13351,x13352)+E(f710(x13353,x13354,x13355,x13356,x13351),f710(x13353,x13354,x13355,x13356,x13352))
% 164.85/165.10 [1336]~E(x13361,x13362)+E(f505(x13361,x13363,x13364,x13365),f505(x13362,x13363,x13364,x13365))
% 164.85/165.10 [1337]~E(x13371,x13372)+E(f505(x13373,x13371,x13374,x13375),f505(x13373,x13372,x13374,x13375))
% 164.85/165.10 [1338]~E(x13381,x13382)+E(f505(x13383,x13384,x13381,x13385),f505(x13383,x13384,x13382,x13385))
% 164.85/165.10 [1339]~E(x13391,x13392)+E(f505(x13393,x13394,x13395,x13391),f505(x13393,x13394,x13395,x13392))
% 164.85/165.10 [1340]~E(x13401,x13402)+E(f519(x13401,x13403,x13404),f519(x13402,x13403,x13404))
% 164.85/165.10 [1341]~E(x13411,x13412)+E(f519(x13413,x13411,x13414),f519(x13413,x13412,x13414))
% 164.85/165.10 [1342]~E(x13421,x13422)+E(f519(x13423,x13424,x13421),f519(x13423,x13424,x13422))
% 164.85/165.10 [1343]~E(x13431,x13432)+E(f606(x13431,x13433,x13434,x13435,x13436),f606(x13432,x13433,x13434,x13435,x13436))
% 164.85/165.10 [1344]~E(x13441,x13442)+E(f606(x13443,x13441,x13444,x13445,x13446),f606(x13443,x13442,x13444,x13445,x13446))
% 164.85/165.10 [1345]~E(x13451,x13452)+E(f606(x13453,x13454,x13451,x13455,x13456),f606(x13453,x13454,x13452,x13455,x13456))
% 164.85/165.10 [1346]~E(x13461,x13462)+E(f606(x13463,x13464,x13465,x13461,x13466),f606(x13463,x13464,x13465,x13462,x13466))
% 164.85/165.10 [1347]~E(x13471,x13472)+E(f606(x13473,x13474,x13475,x13476,x13471),f606(x13473,x13474,x13475,x13476,x13472))
% 164.85/165.10 [1348]~E(x13481,x13482)+E(f867(x13481,x13483),f867(x13482,x13483))
% 164.85/165.10 [1349]~E(x13491,x13492)+E(f867(x13493,x13491),f867(x13493,x13492))
% 164.85/165.10 [1350]~E(x13501,x13502)+E(f775(x13501,x13503,x13504),f775(x13502,x13503,x13504))
% 164.85/165.10 [1351]~E(x13511,x13512)+E(f775(x13513,x13511,x13514),f775(x13513,x13512,x13514))
% 164.85/165.10 [1352]~E(x13521,x13522)+E(f775(x13523,x13524,x13521),f775(x13523,x13524,x13522))
% 164.85/165.10 [1353]~E(x13531,x13532)+E(f405(x13531,x13533,x13534,x13535),f405(x13532,x13533,x13534,x13535))
% 164.85/165.10 [1354]~E(x13541,x13542)+E(f405(x13543,x13541,x13544,x13545),f405(x13543,x13542,x13544,x13545))
% 164.85/165.10 [1355]~E(x13551,x13552)+E(f405(x13553,x13554,x13551,x13555),f405(x13553,x13554,x13552,x13555))
% 164.85/165.10 [1356]~E(x13561,x13562)+E(f405(x13563,x13564,x13565,x13561),f405(x13563,x13564,x13565,x13562))
% 164.85/165.10 [1357]~E(x13571,x13572)+E(f891(x13571,x13573,x13574,x13575,x13576),f891(x13572,x13573,x13574,x13575,x13576))
% 164.85/165.10 [1358]~E(x13581,x13582)+E(f891(x13583,x13581,x13584,x13585,x13586),f891(x13583,x13582,x13584,x13585,x13586))
% 164.85/165.10 [1359]~E(x13591,x13592)+E(f891(x13593,x13594,x13591,x13595,x13596),f891(x13593,x13594,x13592,x13595,x13596))
% 164.85/165.10 [1360]~E(x13601,x13602)+E(f891(x13603,x13604,x13605,x13601,x13606),f891(x13603,x13604,x13605,x13602,x13606))
% 164.85/165.10 [1361]~E(x13611,x13612)+E(f891(x13613,x13614,x13615,x13616,x13611),f891(x13613,x13614,x13615,x13616,x13612))
% 164.85/165.10 [1362]~E(x13621,x13622)+E(f772(x13621,x13623,x13624),f772(x13622,x13623,x13624))
% 164.85/165.10 [1363]~E(x13631,x13632)+E(f772(x13633,x13631,x13634),f772(x13633,x13632,x13634))
% 164.85/165.10 [1364]~E(x13641,x13642)+E(f772(x13643,x13644,x13641),f772(x13643,x13644,x13642))
% 164.85/165.10 [1365]~E(x13651,x13652)+E(f789(x13651,x13653,x13654,x13655),f789(x13652,x13653,x13654,x13655))
% 164.85/165.10 [1366]~E(x13661,x13662)+E(f789(x13663,x13661,x13664,x13665),f789(x13663,x13662,x13664,x13665))
% 164.85/165.10 [1367]~E(x13671,x13672)+E(f789(x13673,x13674,x13671,x13675),f789(x13673,x13674,x13672,x13675))
% 164.85/165.10 [1368]~E(x13681,x13682)+E(f789(x13683,x13684,x13685,x13681),f789(x13683,x13684,x13685,x13682))
% 164.85/165.10 [1369]~E(x13691,x13692)+E(f795(x13691,x13693,x13694,x13695,x13696),f795(x13692,x13693,x13694,x13695,x13696))
% 164.85/165.10 [1370]~E(x13701,x13702)+E(f795(x13703,x13701,x13704,x13705,x13706),f795(x13703,x13702,x13704,x13705,x13706))
% 164.85/165.10 [1371]~E(x13711,x13712)+E(f795(x13713,x13714,x13711,x13715,x13716),f795(x13713,x13714,x13712,x13715,x13716))
% 164.85/165.10 [1372]~E(x13721,x13722)+E(f795(x13723,x13724,x13725,x13721,x13726),f795(x13723,x13724,x13725,x13722,x13726))
% 164.85/165.10 [1373]~E(x13731,x13732)+E(f795(x13733,x13734,x13735,x13736,x13731),f795(x13733,x13734,x13735,x13736,x13732))
% 164.85/165.10 [1374]~E(x13741,x13742)+E(f259(x13741,x13743,x13744),f259(x13742,x13743,x13744))
% 164.85/165.10 [1375]~E(x13751,x13752)+E(f259(x13753,x13751,x13754),f259(x13753,x13752,x13754))
% 164.85/165.10 [1376]~E(x13761,x13762)+E(f259(x13763,x13764,x13761),f259(x13763,x13764,x13762))
% 164.85/165.10 [1377]~E(x13771,x13772)+E(f474(x13771,x13773,x13774,x13775,x13776),f474(x13772,x13773,x13774,x13775,x13776))
% 164.85/165.10 [1378]~E(x13781,x13782)+E(f474(x13783,x13781,x13784,x13785,x13786),f474(x13783,x13782,x13784,x13785,x13786))
% 164.85/165.10 [1379]~E(x13791,x13792)+E(f474(x13793,x13794,x13791,x13795,x13796),f474(x13793,x13794,x13792,x13795,x13796))
% 164.85/165.10 [1380]~E(x13801,x13802)+E(f474(x13803,x13804,x13805,x13801,x13806),f474(x13803,x13804,x13805,x13802,x13806))
% 164.85/165.10 [1381]~E(x13811,x13812)+E(f474(x13813,x13814,x13815,x13816,x13811),f474(x13813,x13814,x13815,x13816,x13812))
% 164.85/165.10 [1382]~E(x13821,x13822)+E(f517(x13821,x13823),f517(x13822,x13823))
% 164.85/165.10 [1383]~E(x13831,x13832)+E(f517(x13833,x13831),f517(x13833,x13832))
% 164.85/165.10 [1384]~E(x13841,x13842)+E(f528(x13841,x13843,x13844),f528(x13842,x13843,x13844))
% 164.85/165.10 [1385]~E(x13851,x13852)+E(f528(x13853,x13851,x13854),f528(x13853,x13852,x13854))
% 164.85/165.10 [1386]~E(x13861,x13862)+E(f528(x13863,x13864,x13861),f528(x13863,x13864,x13862))
% 164.85/165.10 [1387]~E(x13871,x13872)+E(f897(x13871,x13873,x13874,x13875,x13876),f897(x13872,x13873,x13874,x13875,x13876))
% 164.85/165.10 [1388]~E(x13881,x13882)+E(f897(x13883,x13881,x13884,x13885,x13886),f897(x13883,x13882,x13884,x13885,x13886))
% 164.85/165.10 [1389]~E(x13891,x13892)+E(f897(x13893,x13894,x13891,x13895,x13896),f897(x13893,x13894,x13892,x13895,x13896))
% 164.85/165.10 [1390]~E(x13901,x13902)+E(f897(x13903,x13904,x13905,x13901,x13906),f897(x13903,x13904,x13905,x13902,x13906))
% 164.85/165.10 [1391]~E(x13911,x13912)+E(f897(x13913,x13914,x13915,x13916,x13911),f897(x13913,x13914,x13915,x13916,x13912))
% 164.85/165.10 [1392]~E(x13921,x13922)+E(f895(x13921,x13923,x13924,x13925,x13926),f895(x13922,x13923,x13924,x13925,x13926))
% 164.85/165.10 [1393]~E(x13931,x13932)+E(f895(x13933,x13931,x13934,x13935,x13936),f895(x13933,x13932,x13934,x13935,x13936))
% 164.85/165.10 [1394]~E(x13941,x13942)+E(f895(x13943,x13944,x13941,x13945,x13946),f895(x13943,x13944,x13942,x13945,x13946))
% 164.85/165.10 [1395]~E(x13951,x13952)+E(f895(x13953,x13954,x13955,x13951,x13956),f895(x13953,x13954,x13955,x13952,x13956))
% 164.85/165.10 [1396]~E(x13961,x13962)+E(f895(x13963,x13964,x13965,x13966,x13961),f895(x13963,x13964,x13965,x13966,x13962))
% 164.85/165.10 [1397]~E(x13971,x13972)+E(f366(x13971),f366(x13972))
% 164.85/165.10 [1398]~E(x13981,x13982)+E(f541(x13981,x13983,x13984),f541(x13982,x13983,x13984))
% 164.85/165.10 [1399]~E(x13991,x13992)+E(f541(x13993,x13991,x13994),f541(x13993,x13992,x13994))
% 164.85/165.10 [1400]~E(x14001,x14002)+E(f541(x14003,x14004,x14001),f541(x14003,x14004,x14002))
% 164.85/165.10 [1401]~E(x14011,x14012)+E(f328(x14011,x14013,x14014),f328(x14012,x14013,x14014))
% 164.85/165.10 [1402]~E(x14021,x14022)+E(f328(x14023,x14021,x14024),f328(x14023,x14022,x14024))
% 164.85/165.10 [1403]~E(x14031,x14032)+E(f328(x14033,x14034,x14031),f328(x14033,x14034,x14032))
% 164.85/165.10 [1404]~E(x14041,x14042)+E(f355(x14041,x14043),f355(x14042,x14043))
% 164.85/165.10 [1405]~E(x14051,x14052)+E(f355(x14053,x14051),f355(x14053,x14052))
% 164.85/165.10 [1406]~E(x14061,x14062)+E(f480(x14061,x14063,x14064,x14065,x14066),f480(x14062,x14063,x14064,x14065,x14066))
% 164.85/165.10 [1407]~E(x14071,x14072)+E(f480(x14073,x14071,x14074,x14075,x14076),f480(x14073,x14072,x14074,x14075,x14076))
% 164.85/165.10 [1408]~E(x14081,x14082)+E(f480(x14083,x14084,x14081,x14085,x14086),f480(x14083,x14084,x14082,x14085,x14086))
% 164.85/165.10 [1409]~E(x14091,x14092)+E(f480(x14093,x14094,x14095,x14091,x14096),f480(x14093,x14094,x14095,x14092,x14096))
% 164.85/165.10 [1410]~E(x14101,x14102)+E(f480(x14103,x14104,x14105,x14106,x14101),f480(x14103,x14104,x14105,x14106,x14102))
% 164.85/165.10 [1411]~E(x14111,x14112)+E(f494(x14111,x14113,x14114,x14115,x14116),f494(x14112,x14113,x14114,x14115,x14116))
% 164.85/165.10 [1412]~E(x14121,x14122)+E(f494(x14123,x14121,x14124,x14125,x14126),f494(x14123,x14122,x14124,x14125,x14126))
% 164.85/165.10 [1413]~E(x14131,x14132)+E(f494(x14133,x14134,x14131,x14135,x14136),f494(x14133,x14134,x14132,x14135,x14136))
% 164.85/165.10 [1414]~E(x14141,x14142)+E(f494(x14143,x14144,x14145,x14141,x14146),f494(x14143,x14144,x14145,x14142,x14146))
% 164.85/165.10 [1415]~E(x14151,x14152)+E(f494(x14153,x14154,x14155,x14156,x14151),f494(x14153,x14154,x14155,x14156,x14152))
% 164.85/165.10 [1416]~E(x14161,x14162)+E(f106(x14161,x14163,x14164),f106(x14162,x14163,x14164))
% 164.85/165.10 [1417]~E(x14171,x14172)+E(f106(x14173,x14171,x14174),f106(x14173,x14172,x14174))
% 164.85/165.10 [1418]~E(x14181,x14182)+E(f106(x14183,x14184,x14181),f106(x14183,x14184,x14182))
% 164.85/165.10 [1419]~E(x14191,x14192)+E(f50(x14191),f50(x14192))
% 164.85/165.10 [1420]~E(x14201,x14202)+E(f138(x14201,x14203,x14204),f138(x14202,x14203,x14204))
% 164.85/165.10 [1421]~E(x14211,x14212)+E(f138(x14213,x14211,x14214),f138(x14213,x14212,x14214))
% 164.85/165.10 [1422]~E(x14221,x14222)+E(f138(x14223,x14224,x14221),f138(x14223,x14224,x14222))
% 164.85/165.10 [1423]~E(x14231,x14232)+E(f298(x14231,x14233),f298(x14232,x14233))
% 164.85/165.10 [1424]~E(x14241,x14242)+E(f298(x14243,x14241),f298(x14243,x14242))
% 164.85/165.10 [1425]~E(x14251,x14252)+E(f655(x14251,x14253,x14254,x14255,x14256),f655(x14252,x14253,x14254,x14255,x14256))
% 164.85/165.10 [1426]~E(x14261,x14262)+E(f655(x14263,x14261,x14264,x14265,x14266),f655(x14263,x14262,x14264,x14265,x14266))
% 164.85/165.10 [1427]~E(x14271,x14272)+E(f655(x14273,x14274,x14271,x14275,x14276),f655(x14273,x14274,x14272,x14275,x14276))
% 164.85/165.10 [1428]~E(x14281,x14282)+E(f655(x14283,x14284,x14285,x14281,x14286),f655(x14283,x14284,x14285,x14282,x14286))
% 164.85/165.10 [1429]~E(x14291,x14292)+E(f655(x14293,x14294,x14295,x14296,x14291),f655(x14293,x14294,x14295,x14296,x14292))
% 164.85/165.10 [1430]~E(x14301,x14302)+E(f703(x14301,x14303,x14304,x14305,x14306,x14307),f703(x14302,x14303,x14304,x14305,x14306,x14307))
% 164.85/165.10 [1431]~E(x14311,x14312)+E(f703(x14313,x14311,x14314,x14315,x14316,x14317),f703(x14313,x14312,x14314,x14315,x14316,x14317))
% 164.85/165.10 [1432]~E(x14321,x14322)+E(f703(x14323,x14324,x14321,x14325,x14326,x14327),f703(x14323,x14324,x14322,x14325,x14326,x14327))
% 164.85/165.10 [1433]~E(x14331,x14332)+E(f703(x14333,x14334,x14335,x14331,x14336,x14337),f703(x14333,x14334,x14335,x14332,x14336,x14337))
% 164.85/165.10 [1434]~E(x14341,x14342)+E(f703(x14343,x14344,x14345,x14346,x14341,x14347),f703(x14343,x14344,x14345,x14346,x14342,x14347))
% 164.85/165.10 [1435]~E(x14351,x14352)+E(f703(x14353,x14354,x14355,x14356,x14357,x14351),f703(x14353,x14354,x14355,x14356,x14357,x14352))
% 164.85/165.10 [1436]~E(x14361,x14362)+E(f659(x14361,x14363,x14364,x14365,x14366),f659(x14362,x14363,x14364,x14365,x14366))
% 164.85/165.10 [1437]~E(x14371,x14372)+E(f659(x14373,x14371,x14374,x14375,x14376),f659(x14373,x14372,x14374,x14375,x14376))
% 164.85/165.10 [1438]~E(x14381,x14382)+E(f659(x14383,x14384,x14381,x14385,x14386),f659(x14383,x14384,x14382,x14385,x14386))
% 164.85/165.10 [1439]~E(x14391,x14392)+E(f659(x14393,x14394,x14395,x14391,x14396),f659(x14393,x14394,x14395,x14392,x14396))
% 164.85/165.10 [1440]~E(x14401,x14402)+E(f659(x14403,x14404,x14405,x14406,x14401),f659(x14403,x14404,x14405,x14406,x14402))
% 164.85/165.10 [1441]~E(x14411,x14412)+E(f754(x14411,x14413,x14414),f754(x14412,x14413,x14414))
% 164.85/165.10 [1442]~E(x14421,x14422)+E(f754(x14423,x14421,x14424),f754(x14423,x14422,x14424))
% 164.85/165.10 [1443]~E(x14431,x14432)+E(f754(x14433,x14434,x14431),f754(x14433,x14434,x14432))
% 164.85/165.10 [1444]~E(x14441,x14442)+E(f612(x14441,x14443,x14444),f612(x14442,x14443,x14444))
% 164.85/165.10 [1445]~E(x14451,x14452)+E(f612(x14453,x14451,x14454),f612(x14453,x14452,x14454))
% 164.85/165.10 [1446]~E(x14461,x14462)+E(f612(x14463,x14464,x14461),f612(x14463,x14464,x14462))
% 164.85/165.10 [1447]~E(x14471,x14472)+E(f345(x14471,x14473,x14474,x14475,x14476,x14477,x14478),f345(x14472,x14473,x14474,x14475,x14476,x14477,x14478))
% 164.85/165.10 [1448]~E(x14481,x14482)+E(f345(x14483,x14481,x14484,x14485,x14486,x14487,x14488),f345(x14483,x14482,x14484,x14485,x14486,x14487,x14488))
% 164.85/165.10 [1449]~E(x14491,x14492)+E(f345(x14493,x14494,x14491,x14495,x14496,x14497,x14498),f345(x14493,x14494,x14492,x14495,x14496,x14497,x14498))
% 164.85/165.10 [1450]~E(x14501,x14502)+E(f345(x14503,x14504,x14505,x14501,x14506,x14507,x14508),f345(x14503,x14504,x14505,x14502,x14506,x14507,x14508))
% 164.85/165.10 [1451]~E(x14511,x14512)+E(f345(x14513,x14514,x14515,x14516,x14511,x14517,x14518),f345(x14513,x14514,x14515,x14516,x14512,x14517,x14518))
% 164.85/165.10 [1452]~E(x14521,x14522)+E(f345(x14523,x14524,x14525,x14526,x14527,x14521,x14528),f345(x14523,x14524,x14525,x14526,x14527,x14522,x14528))
% 164.85/165.10 [1453]~E(x14531,x14532)+E(f345(x14533,x14534,x14535,x14536,x14537,x14538,x14531),f345(x14533,x14534,x14535,x14536,x14537,x14538,x14532))
% 164.85/165.10 [1454]~E(x14541,x14542)+E(f465(x14541,x14543,x14544,x14545),f465(x14542,x14543,x14544,x14545))
% 164.85/165.10 [1455]~E(x14551,x14552)+E(f465(x14553,x14551,x14554,x14555),f465(x14553,x14552,x14554,x14555))
% 164.85/165.10 [1456]~E(x14561,x14562)+E(f465(x14563,x14564,x14561,x14565),f465(x14563,x14564,x14562,x14565))
% 164.85/165.10 [1457]~E(x14571,x14572)+E(f465(x14573,x14574,x14575,x14571),f465(x14573,x14574,x14575,x14572))
% 164.85/165.10 [1458]~E(x14581,x14582)+E(f708(x14581,x14583,x14584,x14585),f708(x14582,x14583,x14584,x14585))
% 164.85/165.10 [1459]~E(x14591,x14592)+E(f708(x14593,x14591,x14594,x14595),f708(x14593,x14592,x14594,x14595))
% 164.85/165.10 [1460]~E(x14601,x14602)+E(f708(x14603,x14604,x14601,x14605),f708(x14603,x14604,x14602,x14605))
% 164.85/165.10 [1461]~E(x14611,x14612)+E(f708(x14613,x14614,x14615,x14611),f708(x14613,x14614,x14615,x14612))
% 164.85/165.10 [1462]~E(x14621,x14622)+E(f260(x14621,x14623,x14624),f260(x14622,x14623,x14624))
% 164.85/165.10 [1463]~E(x14631,x14632)+E(f260(x14633,x14631,x14634),f260(x14633,x14632,x14634))
% 164.85/165.10 [1464]~E(x14641,x14642)+E(f260(x14643,x14644,x14641),f260(x14643,x14644,x14642))
% 164.85/165.10 [1465]~E(x14651,x14652)+E(f496(x14651,x14653),f496(x14652,x14653))
% 164.85/165.10 [1466]~E(x14661,x14662)+E(f496(x14663,x14661),f496(x14663,x14662))
% 164.85/165.10 [1467]~E(x14671,x14672)+E(f702(x14671,x14673,x14674,x14675),f702(x14672,x14673,x14674,x14675))
% 164.85/165.10 [1468]~E(x14681,x14682)+E(f702(x14683,x14681,x14684,x14685),f702(x14683,x14682,x14684,x14685))
% 164.85/165.10 [1469]~E(x14691,x14692)+E(f702(x14693,x14694,x14691,x14695),f702(x14693,x14694,x14692,x14695))
% 164.85/165.10 [1470]~E(x14701,x14702)+E(f702(x14703,x14704,x14705,x14701),f702(x14703,x14704,x14705,x14702))
% 164.85/165.10 [1471]~E(x14711,x14712)+E(f633(x14711,x14713,x14714,x14715),f633(x14712,x14713,x14714,x14715))
% 164.85/165.10 [1472]~E(x14721,x14722)+E(f633(x14723,x14721,x14724,x14725),f633(x14723,x14722,x14724,x14725))
% 164.85/165.10 [1473]~E(x14731,x14732)+E(f633(x14733,x14734,x14731,x14735),f633(x14733,x14734,x14732,x14735))
% 164.85/165.10 [1474]~E(x14741,x14742)+E(f633(x14743,x14744,x14745,x14741),f633(x14743,x14744,x14745,x14742))
% 164.85/165.10 [1475]~E(x14751,x14752)+E(f680(x14751,x14753),f680(x14752,x14753))
% 164.85/165.10 [1476]~E(x14761,x14762)+E(f680(x14763,x14761),f680(x14763,x14762))
% 164.85/165.10 [1477]~E(x14771,x14772)+E(f830(x14771,x14773,x14774,x14775),f830(x14772,x14773,x14774,x14775))
% 164.85/165.10 [1478]~E(x14781,x14782)+E(f830(x14783,x14781,x14784,x14785),f830(x14783,x14782,x14784,x14785))
% 164.85/165.10 [1479]~E(x14791,x14792)+E(f830(x14793,x14794,x14791,x14795),f830(x14793,x14794,x14792,x14795))
% 164.85/165.10 [1480]~E(x14801,x14802)+E(f830(x14803,x14804,x14805,x14801),f830(x14803,x14804,x14805,x14802))
% 164.85/165.10 [1481]~E(x14811,x14812)+E(f549(x14811,x14813,x14814),f549(x14812,x14813,x14814))
% 164.85/165.10 [1482]~E(x14821,x14822)+E(f549(x14823,x14821,x14824),f549(x14823,x14822,x14824))
% 164.85/165.10 [1483]~E(x14831,x14832)+E(f549(x14833,x14834,x14831),f549(x14833,x14834,x14832))
% 164.85/165.10 [1484]~E(x14841,x14842)+E(f588(x14841,x14843,x14844,x14845,x14846),f588(x14842,x14843,x14844,x14845,x14846))
% 164.85/165.10 [1485]~E(x14851,x14852)+E(f588(x14853,x14851,x14854,x14855,x14856),f588(x14853,x14852,x14854,x14855,x14856))
% 164.85/165.10 [1486]~E(x14861,x14862)+E(f588(x14863,x14864,x14861,x14865,x14866),f588(x14863,x14864,x14862,x14865,x14866))
% 164.85/165.10 [1487]~E(x14871,x14872)+E(f588(x14873,x14874,x14875,x14871,x14876),f588(x14873,x14874,x14875,x14872,x14876))
% 164.85/165.10 [1488]~E(x14881,x14882)+E(f588(x14883,x14884,x14885,x14886,x14881),f588(x14883,x14884,x14885,x14886,x14882))
% 164.85/165.10 [1489]~E(x14891,x14892)+E(f461(x14891,x14893,x14894),f461(x14892,x14893,x14894))
% 164.85/165.10 [1490]~E(x14901,x14902)+E(f461(x14903,x14901,x14904),f461(x14903,x14902,x14904))
% 164.85/165.10 [1491]~E(x14911,x14912)+E(f461(x14913,x14914,x14911),f461(x14913,x14914,x14912))
% 164.85/165.10 [1492]~E(x14921,x14922)+E(f471(x14921,x14923),f471(x14922,x14923))
% 164.85/165.10 [1493]~E(x14931,x14932)+E(f471(x14933,x14931),f471(x14933,x14932))
% 164.85/165.10 [1494]~E(x14941,x14942)+E(f384(x14941,x14943,x14944),f384(x14942,x14943,x14944))
% 164.85/165.10 [1495]~E(x14951,x14952)+E(f384(x14953,x14951,x14954),f384(x14953,x14952,x14954))
% 164.85/165.10 [1496]~E(x14961,x14962)+E(f384(x14963,x14964,x14961),f384(x14963,x14964,x14962))
% 164.85/165.10 [1497]~E(x14971,x14972)+E(f899(x14971,x14973,x14974,x14975,x14976),f899(x14972,x14973,x14974,x14975,x14976))
% 164.85/165.10 [1498]~E(x14981,x14982)+E(f899(x14983,x14981,x14984,x14985,x14986),f899(x14983,x14982,x14984,x14985,x14986))
% 164.85/165.10 [1499]~E(x14991,x14992)+E(f899(x14993,x14994,x14991,x14995,x14996),f899(x14993,x14994,x14992,x14995,x14996))
% 164.85/165.10 [1500]~E(x15001,x15002)+E(f899(x15003,x15004,x15005,x15001,x15006),f899(x15003,x15004,x15005,x15002,x15006))
% 164.85/165.10 [1501]~E(x15011,x15012)+E(f899(x15013,x15014,x15015,x15016,x15011),f899(x15013,x15014,x15015,x15016,x15012))
% 164.85/165.10 [1502]~E(x15021,x15022)+E(f713(x15021,x15023,x15024,x15025,x15026),f713(x15022,x15023,x15024,x15025,x15026))
% 164.85/165.10 [1503]~E(x15031,x15032)+E(f713(x15033,x15031,x15034,x15035,x15036),f713(x15033,x15032,x15034,x15035,x15036))
% 164.85/165.10 [1504]~E(x15041,x15042)+E(f713(x15043,x15044,x15041,x15045,x15046),f713(x15043,x15044,x15042,x15045,x15046))
% 164.85/165.10 [1505]~E(x15051,x15052)+E(f713(x15053,x15054,x15055,x15051,x15056),f713(x15053,x15054,x15055,x15052,x15056))
% 164.85/165.10 [1506]~E(x15061,x15062)+E(f713(x15063,x15064,x15065,x15066,x15061),f713(x15063,x15064,x15065,x15066,x15062))
% 164.85/165.10 [1507]~E(x15071,x15072)+E(f543(x15071,x15073,x15074,x15075),f543(x15072,x15073,x15074,x15075))
% 164.85/165.10 [1508]~E(x15081,x15082)+E(f543(x15083,x15081,x15084,x15085),f543(x15083,x15082,x15084,x15085))
% 164.85/165.10 [1509]~E(x15091,x15092)+E(f543(x15093,x15094,x15091,x15095),f543(x15093,x15094,x15092,x15095))
% 164.85/165.10 [1510]~E(x15101,x15102)+E(f543(x15103,x15104,x15105,x15101),f543(x15103,x15104,x15105,x15102))
% 164.85/165.10 [1511]~E(x15111,x15112)+E(f420(x15111,x15113),f420(x15112,x15113))
% 164.85/165.10 [1512]~E(x15121,x15122)+E(f420(x15123,x15121),f420(x15123,x15122))
% 164.85/165.10 [1513]~E(x15131,x15132)+E(f793(x15131,x15133,x15134,x15135),f793(x15132,x15133,x15134,x15135))
% 164.85/165.10 [1514]~E(x15141,x15142)+E(f793(x15143,x15141,x15144,x15145),f793(x15143,x15142,x15144,x15145))
% 164.85/165.10 [1515]~E(x15151,x15152)+E(f793(x15153,x15154,x15151,x15155),f793(x15153,x15154,x15152,x15155))
% 164.85/165.10 [1516]~E(x15161,x15162)+E(f793(x15163,x15164,x15165,x15161),f793(x15163,x15164,x15165,x15162))
% 164.85/165.10 [1517]~E(x15171,x15172)+E(f696(x15171,x15173,x15174,x15175),f696(x15172,x15173,x15174,x15175))
% 164.85/165.10 [1518]~E(x15181,x15182)+E(f696(x15183,x15181,x15184,x15185),f696(x15183,x15182,x15184,x15185))
% 164.85/165.10 [1519]~E(x15191,x15192)+E(f696(x15193,x15194,x15191,x15195),f696(x15193,x15194,x15192,x15195))
% 164.85/165.10 [1520]~E(x15201,x15202)+E(f696(x15203,x15204,x15205,x15201),f696(x15203,x15204,x15205,x15202))
% 164.85/165.10 [1521]~E(x15211,x15212)+E(f648(x15211,x15213,x15214,x15215),f648(x15212,x15213,x15214,x15215))
% 164.85/165.10 [1522]~E(x15221,x15222)+E(f648(x15223,x15221,x15224,x15225),f648(x15223,x15222,x15224,x15225))
% 164.85/165.10 [1523]~E(x15231,x15232)+E(f648(x15233,x15234,x15231,x15235),f648(x15233,x15234,x15232,x15235))
% 164.85/165.10 [1524]~E(x15241,x15242)+E(f648(x15243,x15244,x15245,x15241),f648(x15243,x15244,x15245,x15242))
% 164.85/165.10 [1525]~E(x15251,x15252)+E(f387(x15251,x15253,x15254),f387(x15252,x15253,x15254))
% 164.85/165.10 [1526]~E(x15261,x15262)+E(f387(x15263,x15261,x15264),f387(x15263,x15262,x15264))
% 164.85/165.10 [1527]~E(x15271,x15272)+E(f387(x15273,x15274,x15271),f387(x15273,x15274,x15272))
% 164.85/165.10 [1528]~E(x15281,x15282)+E(f656(x15281,x15283,x15284),f656(x15282,x15283,x15284))
% 164.85/165.10 [1529]~E(x15291,x15292)+E(f656(x15293,x15291,x15294),f656(x15293,x15292,x15294))
% 164.85/165.10 [1530]~E(x15301,x15302)+E(f656(x15303,x15304,x15301),f656(x15303,x15304,x15302))
% 164.85/165.10 [1531]~E(x15311,x15312)+E(f190(x15311),f190(x15312))
% 164.85/165.10 [1532]~E(x15321,x15322)+E(f827(x15321,x15323,x15324,x15325),f827(x15322,x15323,x15324,x15325))
% 164.85/165.10 [1533]~E(x15331,x15332)+E(f827(x15333,x15331,x15334,x15335),f827(x15333,x15332,x15334,x15335))
% 164.85/165.10 [1534]~E(x15341,x15342)+E(f827(x15343,x15344,x15341,x15345),f827(x15343,x15344,x15342,x15345))
% 164.85/165.10 [1535]~E(x15351,x15352)+E(f827(x15353,x15354,x15355,x15351),f827(x15353,x15354,x15355,x15352))
% 164.85/165.10 [1536]~E(x15361,x15362)+E(f529(x15361,x15363,x15364),f529(x15362,x15363,x15364))
% 164.85/165.10 [1537]~E(x15371,x15372)+E(f529(x15373,x15371,x15374),f529(x15373,x15372,x15374))
% 164.85/165.10 [1538]~E(x15381,x15382)+E(f529(x15383,x15384,x15381),f529(x15383,x15384,x15382))
% 164.85/165.10 [1539]~E(x15391,x15392)+E(f581(x15391,x15393),f581(x15392,x15393))
% 164.85/165.10 [1540]~E(x15401,x15402)+E(f581(x15403,x15401),f581(x15403,x15402))
% 164.85/165.10 [1541]~E(x15411,x15412)+E(f783(x15411,x15413,x15414),f783(x15412,x15413,x15414))
% 164.85/165.10 [1542]~E(x15421,x15422)+E(f783(x15423,x15421,x15424),f783(x15423,x15422,x15424))
% 164.85/165.10 [1543]~E(x15431,x15432)+E(f783(x15433,x15434,x15431),f783(x15433,x15434,x15432))
% 164.85/165.10 [1544]~E(x15441,x15442)+E(f406(x15441,x15443,x15444),f406(x15442,x15443,x15444))
% 164.85/165.10 [1545]~E(x15451,x15452)+E(f406(x15453,x15451,x15454),f406(x15453,x15452,x15454))
% 164.85/165.10 [1546]~E(x15461,x15462)+E(f406(x15463,x15464,x15461),f406(x15463,x15464,x15462))
% 164.85/165.10 [1547]~E(x15471,x15472)+E(f537(x15471,x15473,x15474),f537(x15472,x15473,x15474))
% 164.85/165.10 [1548]~E(x15481,x15482)+E(f537(x15483,x15481,x15484),f537(x15483,x15482,x15484))
% 164.85/165.10 [1549]~E(x15491,x15492)+E(f537(x15493,x15494,x15491),f537(x15493,x15494,x15492))
% 164.85/165.10 [1550]~E(x15501,x15502)+E(f595(x15501,x15503,x15504),f595(x15502,x15503,x15504))
% 164.85/165.10 [1551]~E(x15511,x15512)+E(f595(x15513,x15511,x15514),f595(x15513,x15512,x15514))
% 164.85/165.10 [1552]~E(x15521,x15522)+E(f595(x15523,x15524,x15521),f595(x15523,x15524,x15522))
% 164.85/165.10 [1553]~E(x15531,x15532)+E(f516(x15531,x15533,x15534,x15535),f516(x15532,x15533,x15534,x15535))
% 164.85/165.10 [1554]~E(x15541,x15542)+E(f516(x15543,x15541,x15544,x15545),f516(x15543,x15542,x15544,x15545))
% 164.85/165.10 [1555]~E(x15551,x15552)+E(f516(x15553,x15554,x15551,x15555),f516(x15553,x15554,x15552,x15555))
% 164.85/165.10 [1556]~E(x15561,x15562)+E(f516(x15563,x15564,x15565,x15561),f516(x15563,x15564,x15565,x15562))
% 164.85/165.10 [1557]~E(x15571,x15572)+E(f437(x15571,x15573,x15574),f437(x15572,x15573,x15574))
% 164.85/165.10 [1558]~E(x15581,x15582)+E(f437(x15583,x15581,x15584),f437(x15583,x15582,x15584))
% 164.85/165.10 [1559]~E(x15591,x15592)+E(f437(x15593,x15594,x15591),f437(x15593,x15594,x15592))
% 164.85/165.10 [1560]~E(x15601,x15602)+E(f35(x15601,x15603,x15604,x15605,x15606,x15607,x15608,x15609,x156010,x156011),f35(x15602,x15603,x15604,x15605,x15606,x15607,x15608,x15609,x156010,x156011))
% 164.85/165.10 [1561]~E(x15611,x15612)+E(f35(x15613,x15611,x15614,x15615,x15616,x15617,x15618,x15619,x156110,x156111),f35(x15613,x15612,x15614,x15615,x15616,x15617,x15618,x15619,x156110,x156111))
% 164.85/165.10 [1562]~E(x15621,x15622)+E(f35(x15623,x15624,x15621,x15625,x15626,x15627,x15628,x15629,x156210,x156211),f35(x15623,x15624,x15622,x15625,x15626,x15627,x15628,x15629,x156210,x156211))
% 164.85/165.10 [1563]~E(x15631,x15632)+E(f35(x15633,x15634,x15635,x15631,x15636,x15637,x15638,x15639,x156310,x156311),f35(x15633,x15634,x15635,x15632,x15636,x15637,x15638,x15639,x156310,x156311))
% 164.85/165.10 [1564]~E(x15641,x15642)+E(f35(x15643,x15644,x15645,x15646,x15641,x15647,x15648,x15649,x156410,x156411),f35(x15643,x15644,x15645,x15646,x15642,x15647,x15648,x15649,x156410,x156411))
% 164.85/165.10 [1565]~E(x15651,x15652)+E(f35(x15653,x15654,x15655,x15656,x15657,x15651,x15658,x15659,x156510,x156511),f35(x15653,x15654,x15655,x15656,x15657,x15652,x15658,x15659,x156510,x156511))
% 164.85/165.10 [1566]~E(x15661,x15662)+E(f35(x15663,x15664,x15665,x15666,x15667,x15668,x15661,x15669,x156610,x156611),f35(x15663,x15664,x15665,x15666,x15667,x15668,x15662,x15669,x156610,x156611))
% 164.85/165.10 [1567]~E(x15671,x15672)+E(f35(x15673,x15674,x15675,x15676,x15677,x15678,x15679,x15671,x156710,x156711),f35(x15673,x15674,x15675,x15676,x15677,x15678,x15679,x15672,x156710,x156711))
% 164.85/165.10 [1568]~E(x15681,x15682)+E(f35(x15683,x15684,x15685,x15686,x15687,x15688,x15689,x156810,x15681,x156811),f35(x15683,x15684,x15685,x15686,x15687,x15688,x15689,x156810,x15682,x156811))
% 164.85/165.10 [1569]~E(x15691,x15692)+E(f35(x15693,x15694,x15695,x15696,x15697,x15698,x15699,x156910,x156911,x15691),f35(x15693,x15694,x15695,x15696,x15697,x15698,x15699,x156910,x156911,x15692))
% 164.85/165.10 [1570]~E(x15701,x15702)+E(f425(x15701,x15703,x15704),f425(x15702,x15703,x15704))
% 164.85/165.10 [1571]~E(x15711,x15712)+E(f425(x15713,x15711,x15714),f425(x15713,x15712,x15714))
% 164.85/165.10 [1572]~E(x15721,x15722)+E(f425(x15723,x15724,x15721),f425(x15723,x15724,x15722))
% 164.85/165.10 [1573]~E(x15731,x15732)+E(f304(x15731,x15733,x15734,x15735,x15736),f304(x15732,x15733,x15734,x15735,x15736))
% 164.85/165.10 [1574]~E(x15741,x15742)+E(f304(x15743,x15741,x15744,x15745,x15746),f304(x15743,x15742,x15744,x15745,x15746))
% 164.85/165.10 [1575]~E(x15751,x15752)+E(f304(x15753,x15754,x15751,x15755,x15756),f304(x15753,x15754,x15752,x15755,x15756))
% 164.85/165.10 [1576]~E(x15761,x15762)+E(f304(x15763,x15764,x15765,x15761,x15766),f304(x15763,x15764,x15765,x15762,x15766))
% 164.85/165.10 [1577]~E(x15771,x15772)+E(f304(x15773,x15774,x15775,x15776,x15771),f304(x15773,x15774,x15775,x15776,x15772))
% 164.85/165.10 [1578]~E(x15781,x15782)+E(f218(x15781),f218(x15782))
% 164.85/165.10 [1579]~E(x15791,x15792)+E(f875(x15791,x15793,x15794,x15795),f875(x15792,x15793,x15794,x15795))
% 164.85/165.10 [1580]~E(x15801,x15802)+E(f875(x15803,x15801,x15804,x15805),f875(x15803,x15802,x15804,x15805))
% 164.85/165.10 [1581]~E(x15811,x15812)+E(f875(x15813,x15814,x15811,x15815),f875(x15813,x15814,x15812,x15815))
% 164.85/165.10 [1582]~E(x15821,x15822)+E(f875(x15823,x15824,x15825,x15821),f875(x15823,x15824,x15825,x15822))
% 164.85/165.10 [1583]~E(x15831,x15832)+E(f426(x15831,x15833,x15834),f426(x15832,x15833,x15834))
% 164.85/165.10 [1584]~E(x15841,x15842)+E(f426(x15843,x15841,x15844),f426(x15843,x15842,x15844))
% 164.85/165.10 [1585]~E(x15851,x15852)+E(f426(x15853,x15854,x15851),f426(x15853,x15854,x15852))
% 164.85/165.10 [1586]~E(x15861,x15862)+E(f495(x15861,x15863),f495(x15862,x15863))
% 164.85/165.10 [1587]~E(x15871,x15872)+E(f495(x15873,x15871),f495(x15873,x15872))
% 164.85/165.10 [1588]~E(x15881,x15882)+E(f452(x15881,x15883,x15884,x15885),f452(x15882,x15883,x15884,x15885))
% 164.85/165.10 [1589]~E(x15891,x15892)+E(f452(x15893,x15891,x15894,x15895),f452(x15893,x15892,x15894,x15895))
% 164.85/165.10 [1590]~E(x15901,x15902)+E(f452(x15903,x15904,x15901,x15905),f452(x15903,x15904,x15902,x15905))
% 164.85/165.10 [1591]~E(x15911,x15912)+E(f452(x15913,x15914,x15915,x15911),f452(x15913,x15914,x15915,x15912))
% 164.85/165.10 [1592]~E(x15921,x15922)+E(f395(x15921,x15923,x15924,x15925,x15926,x15927,x15928),f395(x15922,x15923,x15924,x15925,x15926,x15927,x15928))
% 164.85/165.10 [1593]~E(x15931,x15932)+E(f395(x15933,x15931,x15934,x15935,x15936,x15937,x15938),f395(x15933,x15932,x15934,x15935,x15936,x15937,x15938))
% 164.85/165.10 [1594]~E(x15941,x15942)+E(f395(x15943,x15944,x15941,x15945,x15946,x15947,x15948),f395(x15943,x15944,x15942,x15945,x15946,x15947,x15948))
% 164.85/165.10 [1595]~E(x15951,x15952)+E(f395(x15953,x15954,x15955,x15951,x15956,x15957,x15958),f395(x15953,x15954,x15955,x15952,x15956,x15957,x15958))
% 164.85/165.10 [1596]~E(x15961,x15962)+E(f395(x15963,x15964,x15965,x15966,x15961,x15967,x15968),f395(x15963,x15964,x15965,x15966,x15962,x15967,x15968))
% 164.85/165.10 [1597]~E(x15971,x15972)+E(f395(x15973,x15974,x15975,x15976,x15977,x15971,x15978),f395(x15973,x15974,x15975,x15976,x15977,x15972,x15978))
% 164.85/165.10 [1598]~E(x15981,x15982)+E(f395(x15983,x15984,x15985,x15986,x15987,x15988,x15981),f395(x15983,x15984,x15985,x15986,x15987,x15988,x15982))
% 164.85/165.10 [1599]~E(x15991,x15992)+E(f624(x15991,x15993,x15994,x15995,x15996,x15997,x15998),f624(x15992,x15993,x15994,x15995,x15996,x15997,x15998))
% 164.85/165.10 [1600]~E(x16001,x16002)+E(f624(x16003,x16001,x16004,x16005,x16006,x16007,x16008),f624(x16003,x16002,x16004,x16005,x16006,x16007,x16008))
% 164.85/165.10 [1601]~E(x16011,x16012)+E(f624(x16013,x16014,x16011,x16015,x16016,x16017,x16018),f624(x16013,x16014,x16012,x16015,x16016,x16017,x16018))
% 164.85/165.10 [1602]~E(x16021,x16022)+E(f624(x16023,x16024,x16025,x16021,x16026,x16027,x16028),f624(x16023,x16024,x16025,x16022,x16026,x16027,x16028))
% 164.85/165.10 [1603]~E(x16031,x16032)+E(f624(x16033,x16034,x16035,x16036,x16031,x16037,x16038),f624(x16033,x16034,x16035,x16036,x16032,x16037,x16038))
% 164.85/165.10 [1604]~E(x16041,x16042)+E(f624(x16043,x16044,x16045,x16046,x16047,x16041,x16048),f624(x16043,x16044,x16045,x16046,x16047,x16042,x16048))
% 164.85/165.10 [1605]~E(x16051,x16052)+E(f624(x16053,x16054,x16055,x16056,x16057,x16058,x16051),f624(x16053,x16054,x16055,x16056,x16057,x16058,x16052))
% 164.85/165.10 [1606]~E(x16061,x16062)+E(f521(x16061),f521(x16062))
% 164.85/165.10 [1607]~E(x16071,x16072)+E(f903(x16071,x16073,x16074,x16075,x16076),f903(x16072,x16073,x16074,x16075,x16076))
% 164.85/165.10 [1608]~E(x16081,x16082)+E(f903(x16083,x16081,x16084,x16085,x16086),f903(x16083,x16082,x16084,x16085,x16086))
% 164.85/165.10 [1609]~E(x16091,x16092)+E(f903(x16093,x16094,x16091,x16095,x16096),f903(x16093,x16094,x16092,x16095,x16096))
% 164.85/165.10 [1610]~E(x16101,x16102)+E(f903(x16103,x16104,x16105,x16101,x16106),f903(x16103,x16104,x16105,x16102,x16106))
% 164.85/165.10 [1611]~E(x16111,x16112)+E(f903(x16113,x16114,x16115,x16116,x16111),f903(x16113,x16114,x16115,x16116,x16112))
% 164.85/165.10 [1612]~E(x16121,x16122)+E(f596(x16121,x16123,x16124),f596(x16122,x16123,x16124))
% 164.85/165.10 [1613]~E(x16131,x16132)+E(f596(x16133,x16131,x16134),f596(x16133,x16132,x16134))
% 164.85/165.10 [1614]~E(x16141,x16142)+E(f596(x16143,x16144,x16141),f596(x16143,x16144,x16142))
% 164.85/165.10 [1615]~E(x16151,x16152)+E(f570(x16151,x16153,x16154,x16155),f570(x16152,x16153,x16154,x16155))
% 164.85/165.10 [1616]~E(x16161,x16162)+E(f570(x16163,x16161,x16164,x16165),f570(x16163,x16162,x16164,x16165))
% 164.85/165.10 [1617]~E(x16171,x16172)+E(f570(x16173,x16174,x16171,x16175),f570(x16173,x16174,x16172,x16175))
% 164.85/165.10 [1618]~E(x16181,x16182)+E(f570(x16183,x16184,x16185,x16181),f570(x16183,x16184,x16185,x16182))
% 164.85/165.10 [1619]~E(x16191,x16192)+E(f889(x16191,x16193,x16194,x16195,x16196),f889(x16192,x16193,x16194,x16195,x16196))
% 164.85/165.10 [1620]~E(x16201,x16202)+E(f889(x16203,x16201,x16204,x16205,x16206),f889(x16203,x16202,x16204,x16205,x16206))
% 164.85/165.10 [1621]~E(x16211,x16212)+E(f889(x16213,x16214,x16211,x16215,x16216),f889(x16213,x16214,x16212,x16215,x16216))
% 164.85/165.10 [1622]~E(x16221,x16222)+E(f889(x16223,x16224,x16225,x16221,x16226),f889(x16223,x16224,x16225,x16222,x16226))
% 164.85/165.10 [1623]~E(x16231,x16232)+E(f889(x16233,x16234,x16235,x16236,x16231),f889(x16233,x16234,x16235,x16236,x16232))
% 164.85/165.10 [1624]~E(x16241,x16242)+E(f159(x16241,x16243,x16244,x16245,x16246),f159(x16242,x16243,x16244,x16245,x16246))
% 164.85/165.10 [1625]~E(x16251,x16252)+E(f159(x16253,x16251,x16254,x16255,x16256),f159(x16253,x16252,x16254,x16255,x16256))
% 164.85/165.10 [1626]~E(x16261,x16262)+E(f159(x16263,x16264,x16261,x16265,x16266),f159(x16263,x16264,x16262,x16265,x16266))
% 164.85/165.10 [1627]~E(x16271,x16272)+E(f159(x16273,x16274,x16275,x16271,x16276),f159(x16273,x16274,x16275,x16272,x16276))
% 164.85/165.10 [1628]~E(x16281,x16282)+E(f159(x16283,x16284,x16285,x16286,x16281),f159(x16283,x16284,x16285,x16286,x16282))
% 164.85/165.10 [1629]~E(x16291,x16292)+E(f287(x16291,x16293,x16294,x16295),f287(x16292,x16293,x16294,x16295))
% 164.85/165.10 [1630]~E(x16301,x16302)+E(f287(x16303,x16301,x16304,x16305),f287(x16303,x16302,x16304,x16305))
% 164.85/165.10 [1631]~E(x16311,x16312)+E(f287(x16313,x16314,x16311,x16315),f287(x16313,x16314,x16312,x16315))
% 164.85/165.10 [1632]~E(x16321,x16322)+E(f287(x16323,x16324,x16325,x16321),f287(x16323,x16324,x16325,x16322))
% 164.85/165.10 [1633]~E(x16331,x16332)+E(f450(x16331,x16333,x16334),f450(x16332,x16333,x16334))
% 164.85/165.10 [1634]~E(x16341,x16342)+E(f450(x16343,x16341,x16344),f450(x16343,x16342,x16344))
% 164.85/165.10 [1635]~E(x16351,x16352)+E(f450(x16353,x16354,x16351),f450(x16353,x16354,x16352))
% 164.85/165.10 [1636]~E(x16361,x16362)+E(f719(x16361,x16363,x16364),f719(x16362,x16363,x16364))
% 164.85/165.10 [1637]~E(x16371,x16372)+E(f719(x16373,x16371,x16374),f719(x16373,x16372,x16374))
% 164.85/165.10 [1638]~E(x16381,x16382)+E(f719(x16383,x16384,x16381),f719(x16383,x16384,x16382))
% 164.85/165.10 [1639]~E(x16391,x16392)+E(f699(x16391,x16393,x16394,x16395),f699(x16392,x16393,x16394,x16395))
% 164.85/165.10 [1640]~E(x16401,x16402)+E(f699(x16403,x16401,x16404,x16405),f699(x16403,x16402,x16404,x16405))
% 164.85/165.10 [1641]~E(x16411,x16412)+E(f699(x16413,x16414,x16411,x16415),f699(x16413,x16414,x16412,x16415))
% 164.85/165.10 [1642]~E(x16421,x16422)+E(f699(x16423,x16424,x16425,x16421),f699(x16423,x16424,x16425,x16422))
% 164.85/165.10 [1643]~E(x16431,x16432)+E(f456(x16431,x16433),f456(x16432,x16433))
% 164.85/165.10 [1644]~E(x16441,x16442)+E(f456(x16443,x16441),f456(x16443,x16442))
% 164.85/165.10 [1645]~E(x16451,x16452)+E(f760(x16451,x16453),f760(x16452,x16453))
% 164.85/165.10 [1646]~E(x16461,x16462)+E(f760(x16463,x16461),f760(x16463,x16462))
% 164.85/165.10 [1647]~E(x16471,x16472)+E(f466(x16471,x16473,x16474),f466(x16472,x16473,x16474))
% 164.85/165.10 [1648]~E(x16481,x16482)+E(f466(x16483,x16481,x16484),f466(x16483,x16482,x16484))
% 164.85/165.10 [1649]~E(x16491,x16492)+E(f466(x16493,x16494,x16491),f466(x16493,x16494,x16492))
% 164.85/165.10 [1650]~E(x16501,x16502)+E(f459(x16501,x16503,x16504),f459(x16502,x16503,x16504))
% 164.85/165.10 [1651]~E(x16511,x16512)+E(f459(x16513,x16511,x16514),f459(x16513,x16512,x16514))
% 164.85/165.10 [1652]~E(x16521,x16522)+E(f459(x16523,x16524,x16521),f459(x16523,x16524,x16522))
% 164.85/165.10 [1653]~E(x16531,x16532)+E(f608(x16531,x16533,x16534),f608(x16532,x16533,x16534))
% 164.85/165.10 [1654]~E(x16541,x16542)+E(f608(x16543,x16541,x16544),f608(x16543,x16542,x16544))
% 164.85/165.10 [1655]~E(x16551,x16552)+E(f608(x16553,x16554,x16551),f608(x16553,x16554,x16552))
% 164.85/165.10 [1656]~E(x16561,x16562)+E(f68(x16561,x16563,x16564,x16565),f68(x16562,x16563,x16564,x16565))
% 164.85/165.10 [1657]~E(x16571,x16572)+E(f68(x16573,x16571,x16574,x16575),f68(x16573,x16572,x16574,x16575))
% 164.85/165.10 [1658]~E(x16581,x16582)+E(f68(x16583,x16584,x16581,x16585),f68(x16583,x16584,x16582,x16585))
% 164.85/165.10 [1659]~E(x16591,x16592)+E(f68(x16593,x16594,x16595,x16591),f68(x16593,x16594,x16595,x16592))
% 164.85/165.10 [1660]~E(x16601,x16602)+E(f409(x16601,x16603,x16604,x16605,x16606,x16607,x16608),f409(x16602,x16603,x16604,x16605,x16606,x16607,x16608))
% 164.85/165.10 [1661]~E(x16611,x16612)+E(f409(x16613,x16611,x16614,x16615,x16616,x16617,x16618),f409(x16613,x16612,x16614,x16615,x16616,x16617,x16618))
% 164.85/165.10 [1662]~E(x16621,x16622)+E(f409(x16623,x16624,x16621,x16625,x16626,x16627,x16628),f409(x16623,x16624,x16622,x16625,x16626,x16627,x16628))
% 164.85/165.10 [1663]~E(x16631,x16632)+E(f409(x16633,x16634,x16635,x16631,x16636,x16637,x16638),f409(x16633,x16634,x16635,x16632,x16636,x16637,x16638))
% 164.85/165.10 [1664]~E(x16641,x16642)+E(f409(x16643,x16644,x16645,x16646,x16641,x16647,x16648),f409(x16643,x16644,x16645,x16646,x16642,x16647,x16648))
% 164.85/165.10 [1665]~E(x16651,x16652)+E(f409(x16653,x16654,x16655,x16656,x16657,x16651,x16658),f409(x16653,x16654,x16655,x16656,x16657,x16652,x16658))
% 164.85/165.10 [1666]~E(x16661,x16662)+E(f409(x16663,x16664,x16665,x16666,x16667,x16668,x16661),f409(x16663,x16664,x16665,x16666,x16667,x16668,x16662))
% 164.85/165.10 [1667]~E(x16671,x16672)+E(f557(x16671,x16673,x16674,x16675),f557(x16672,x16673,x16674,x16675))
% 164.85/165.10 [1668]~E(x16681,x16682)+E(f557(x16683,x16681,x16684,x16685),f557(x16683,x16682,x16684,x16685))
% 164.85/165.10 [1669]~E(x16691,x16692)+E(f557(x16693,x16694,x16691,x16695),f557(x16693,x16694,x16692,x16695))
% 164.85/165.10 [1670]~E(x16701,x16702)+E(f557(x16703,x16704,x16705,x16701),f557(x16703,x16704,x16705,x16702))
% 164.85/165.10 [1671]~E(x16711,x16712)+E(f753(x16711,x16713,x16714),f753(x16712,x16713,x16714))
% 164.85/165.10 [1672]~E(x16721,x16722)+E(f753(x16723,x16721,x16724),f753(x16723,x16722,x16724))
% 164.85/165.10 [1673]~E(x16731,x16732)+E(f753(x16733,x16734,x16731),f753(x16733,x16734,x16732))
% 164.85/165.10 [1674]~E(x16741,x16742)+E(f647(x16741,x16743,x16744),f647(x16742,x16743,x16744))
% 164.85/165.10 [1675]~E(x16751,x16752)+E(f647(x16753,x16751,x16754),f647(x16753,x16752,x16754))
% 164.85/165.10 [1676]~E(x16761,x16762)+E(f647(x16763,x16764,x16761),f647(x16763,x16764,x16762))
% 164.85/165.10 [1677]~E(x16771,x16772)+E(f568(x16771,x16773,x16774),f568(x16772,x16773,x16774))
% 164.85/165.10 [1678]~E(x16781,x16782)+E(f568(x16783,x16781,x16784),f568(x16783,x16782,x16784))
% 164.85/165.10 [1679]~E(x16791,x16792)+E(f568(x16793,x16794,x16791),f568(x16793,x16794,x16792))
% 164.85/165.10 [1680]~E(x16801,x16802)+E(f283(x16801,x16803),f283(x16802,x16803))
% 164.85/165.10 [1681]~E(x16811,x16812)+E(f283(x16813,x16811),f283(x16813,x16812))
% 164.85/165.10 [1682]~E(x16821,x16822)+E(f733(x16821,x16823),f733(x16822,x16823))
% 164.85/165.10 [1683]~E(x16831,x16832)+E(f733(x16833,x16831),f733(x16833,x16832))
% 164.85/165.10 [1684]~E(x16841,x16842)+E(f807(x16841,x16843,x16844,x16845,x16846),f807(x16842,x16843,x16844,x16845,x16846))
% 164.85/165.10 [1685]~E(x16851,x16852)+E(f807(x16853,x16851,x16854,x16855,x16856),f807(x16853,x16852,x16854,x16855,x16856))
% 164.85/165.10 [1686]~E(x16861,x16862)+E(f807(x16863,x16864,x16861,x16865,x16866),f807(x16863,x16864,x16862,x16865,x16866))
% 164.85/165.10 [1687]~E(x16871,x16872)+E(f807(x16873,x16874,x16875,x16871,x16876),f807(x16873,x16874,x16875,x16872,x16876))
% 164.85/165.10 [1688]~E(x16881,x16882)+E(f807(x16883,x16884,x16885,x16886,x16881),f807(x16883,x16884,x16885,x16886,x16882))
% 164.85/165.10 [1689]~E(x16891,x16892)+E(f782(x16891,x16893,x16894,x16895,x16896),f782(x16892,x16893,x16894,x16895,x16896))
% 164.85/165.10 [1690]~E(x16901,x16902)+E(f782(x16903,x16901,x16904,x16905,x16906),f782(x16903,x16902,x16904,x16905,x16906))
% 164.85/165.10 [1691]~E(x16911,x16912)+E(f782(x16913,x16914,x16911,x16915,x16916),f782(x16913,x16914,x16912,x16915,x16916))
% 164.85/165.10 [1692]~E(x16921,x16922)+E(f782(x16923,x16924,x16925,x16921,x16926),f782(x16923,x16924,x16925,x16922,x16926))
% 164.85/165.10 [1693]~E(x16931,x16932)+E(f782(x16933,x16934,x16935,x16936,x16931),f782(x16933,x16934,x16935,x16936,x16932))
% 164.85/165.10 [1694]~E(x16941,x16942)+E(f497(x16941,x16943),f497(x16942,x16943))
% 164.85/165.10 [1695]~E(x16951,x16952)+E(f497(x16953,x16951),f497(x16953,x16952))
% 164.85/165.10 [1696]~E(x16961,x16962)+E(f427(x16961,x16963,x16964),f427(x16962,x16963,x16964))
% 164.85/165.10 [1697]~E(x16971,x16972)+E(f427(x16973,x16971,x16974),f427(x16973,x16972,x16974))
% 164.85/165.10 [1698]~E(x16981,x16982)+E(f427(x16983,x16984,x16981),f427(x16983,x16984,x16982))
% 164.85/165.10 [1699]~E(x16991,x16992)+E(f625(x16991,x16993,x16994),f625(x16992,x16993,x16994))
% 164.85/165.10 [1700]~E(x17001,x17002)+E(f625(x17003,x17001,x17004),f625(x17003,x17002,x17004))
% 164.85/165.10 [1701]~E(x17011,x17012)+E(f625(x17013,x17014,x17011),f625(x17013,x17014,x17012))
% 164.85/165.10 [1702]~E(x17021,x17022)+E(f555(x17021,x17023,x17024),f555(x17022,x17023,x17024))
% 164.85/165.10 [1703]~E(x17031,x17032)+E(f555(x17033,x17031,x17034),f555(x17033,x17032,x17034))
% 164.85/165.10 [1704]~E(x17041,x17042)+E(f555(x17043,x17044,x17041),f555(x17043,x17044,x17042))
% 164.85/165.10 [1705]~E(x17051,x17052)+E(f468(x17051,x17053,x17054),f468(x17052,x17053,x17054))
% 164.85/165.10 [1706]~E(x17061,x17062)+E(f468(x17063,x17061,x17064),f468(x17063,x17062,x17064))
% 164.85/165.10 [1707]~E(x17071,x17072)+E(f468(x17073,x17074,x17071),f468(x17073,x17074,x17072))
% 164.85/165.10 [1708]~E(x17081,x17082)+E(f671(x17081,x17083,x17084,x17085,x17086),f671(x17082,x17083,x17084,x17085,x17086))
% 164.85/165.10 [1709]~E(x17091,x17092)+E(f671(x17093,x17091,x17094,x17095,x17096),f671(x17093,x17092,x17094,x17095,x17096))
% 164.85/165.10 [1710]~E(x17101,x17102)+E(f671(x17103,x17104,x17101,x17105,x17106),f671(x17103,x17104,x17102,x17105,x17106))
% 164.85/165.10 [1711]~E(x17111,x17112)+E(f671(x17113,x17114,x17115,x17111,x17116),f671(x17113,x17114,x17115,x17112,x17116))
% 164.85/165.10 [1712]~E(x17121,x17122)+E(f671(x17123,x17124,x17125,x17126,x17121),f671(x17123,x17124,x17125,x17126,x17122))
% 164.85/165.10 [1713]~E(x17131,x17132)+E(f839(x17131,x17133,x17134,x17135),f839(x17132,x17133,x17134,x17135))
% 164.85/165.10 [1714]~E(x17141,x17142)+E(f839(x17143,x17141,x17144,x17145),f839(x17143,x17142,x17144,x17145))
% 164.85/165.10 [1715]~E(x17151,x17152)+E(f839(x17153,x17154,x17151,x17155),f839(x17153,x17154,x17152,x17155))
% 164.85/165.10 [1716]~E(x17161,x17162)+E(f839(x17163,x17164,x17165,x17161),f839(x17163,x17164,x17165,x17162))
% 164.85/165.10 [1717]~E(x17171,x17172)+E(f104(x17171,x17173,x17174,x17175),f104(x17172,x17173,x17174,x17175))
% 164.85/165.10 [1718]~E(x17181,x17182)+E(f104(x17183,x17181,x17184,x17185),f104(x17183,x17182,x17184,x17185))
% 164.85/165.10 [1719]~E(x17191,x17192)+E(f104(x17193,x17194,x17191,x17195),f104(x17193,x17194,x17192,x17195))
% 164.85/165.10 [1720]~E(x17201,x17202)+E(f104(x17203,x17204,x17205,x17201),f104(x17203,x17204,x17205,x17202))
% 164.85/165.10 [1721]~E(x17211,x17212)+E(f814(x17211,x17213,x17214),f814(x17212,x17213,x17214))
% 164.85/165.10 [1722]~E(x17221,x17222)+E(f814(x17223,x17221,x17224),f814(x17223,x17222,x17224))
% 164.85/165.10 [1723]~E(x17231,x17232)+E(f814(x17233,x17234,x17231),f814(x17233,x17234,x17232))
% 164.85/165.10 [1724]~E(x17241,x17242)+E(f533(x17241,x17243),f533(x17242,x17243))
% 164.85/165.10 [1725]~E(x17251,x17252)+E(f533(x17253,x17251),f533(x17253,x17252))
% 164.85/165.10 [1726]~E(x17261,x17262)+E(f469(x17261,x17263,x17264),f469(x17262,x17263,x17264))
% 164.85/165.10 [1727]~E(x17271,x17272)+E(f469(x17273,x17271,x17274),f469(x17273,x17272,x17274))
% 164.85/165.10 [1728]~E(x17281,x17282)+E(f469(x17283,x17284,x17281),f469(x17283,x17284,x17282))
% 164.85/165.10 [1729]~E(x17291,x17292)+E(f907(x17291,x17293,x17294,x17295),f907(x17292,x17293,x17294,x17295))
% 164.85/165.10 [1730]~E(x17301,x17302)+E(f907(x17303,x17301,x17304,x17305),f907(x17303,x17302,x17304,x17305))
% 164.85/165.10 [1731]~E(x17311,x17312)+E(f907(x17313,x17314,x17311,x17315),f907(x17313,x17314,x17312,x17315))
% 164.85/165.10 [1732]~E(x17321,x17322)+E(f907(x17323,x17324,x17325,x17321),f907(x17323,x17324,x17325,x17322))
% 164.85/165.10 [1733]~E(x17331,x17332)+E(f847(x17331,x17333,x17334,x17335,x17336,x17337,x17338),f847(x17332,x17333,x17334,x17335,x17336,x17337,x17338))
% 164.85/165.10 [1734]~E(x17341,x17342)+E(f847(x17343,x17341,x17344,x17345,x17346,x17347,x17348),f847(x17343,x17342,x17344,x17345,x17346,x17347,x17348))
% 164.85/165.10 [1735]~E(x17351,x17352)+E(f847(x17353,x17354,x17351,x17355,x17356,x17357,x17358),f847(x17353,x17354,x17352,x17355,x17356,x17357,x17358))
% 164.85/165.10 [1736]~E(x17361,x17362)+E(f847(x17363,x17364,x17365,x17361,x17366,x17367,x17368),f847(x17363,x17364,x17365,x17362,x17366,x17367,x17368))
% 164.85/165.10 [1737]~E(x17371,x17372)+E(f847(x17373,x17374,x17375,x17376,x17371,x17377,x17378),f847(x17373,x17374,x17375,x17376,x17372,x17377,x17378))
% 164.85/165.10 [1738]~E(x17381,x17382)+E(f847(x17383,x17384,x17385,x17386,x17387,x17381,x17388),f847(x17383,x17384,x17385,x17386,x17387,x17382,x17388))
% 164.85/165.10 [1739]~E(x17391,x17392)+E(f847(x17393,x17394,x17395,x17396,x17397,x17398,x17391),f847(x17393,x17394,x17395,x17396,x17397,x17398,x17392))
% 164.85/165.10 [1740]~E(x17401,x17402)+E(f816(x17401,x17403,x17404),f816(x17402,x17403,x17404))
% 164.85/165.10 [1741]~E(x17411,x17412)+E(f816(x17413,x17411,x17414),f816(x17413,x17412,x17414))
% 164.85/165.10 [1742]~E(x17421,x17422)+E(f816(x17423,x17424,x17421),f816(x17423,x17424,x17422))
% 164.85/165.10 [1743]~E(x17431,x17432)+E(f757(x17431,x17433,x17434,x17435),f757(x17432,x17433,x17434,x17435))
% 164.85/165.10 [1744]~E(x17441,x17442)+E(f757(x17443,x17441,x17444,x17445),f757(x17443,x17442,x17444,x17445))
% 164.85/165.10 [1745]~E(x17451,x17452)+E(f757(x17453,x17454,x17451,x17455),f757(x17453,x17454,x17452,x17455))
% 164.85/165.10 [1746]~E(x17461,x17462)+E(f757(x17463,x17464,x17465,x17461),f757(x17463,x17464,x17465,x17462))
% 164.85/165.10 [1747]~E(x17471,x17472)+E(f434(x17471,x17473),f434(x17472,x17473))
% 164.85/165.10 [1748]~E(x17481,x17482)+E(f434(x17483,x17481),f434(x17483,x17482))
% 164.85/165.10 [1749]~E(x17491,x17492)+E(f484(x17491),f484(x17492))
% 164.85/165.10 [1750]~E(x17501,x17502)+E(f205(x17501,x17503),f205(x17502,x17503))
% 164.85/165.10 [1751]~E(x17511,x17512)+E(f205(x17513,x17511),f205(x17513,x17512))
% 164.85/165.10 [1752]~E(x17521,x17522)+E(f767(x17521,x17523),f767(x17522,x17523))
% 164.85/165.10 [1753]~E(x17531,x17532)+E(f767(x17533,x17531),f767(x17533,x17532))
% 164.85/165.10 [1754]~E(x17541,x17542)+E(f407(x17541,x17543,x17544,x17545),f407(x17542,x17543,x17544,x17545))
% 164.85/165.10 [1755]~E(x17551,x17552)+E(f407(x17553,x17551,x17554,x17555),f407(x17553,x17552,x17554,x17555))
% 164.85/165.10 [1756]~E(x17561,x17562)+E(f407(x17563,x17564,x17561,x17565),f407(x17563,x17564,x17562,x17565))
% 164.85/165.10 [1757]~E(x17571,x17572)+E(f407(x17573,x17574,x17575,x17571),f407(x17573,x17574,x17575,x17572))
% 164.85/165.10 [1758]~E(x17581,x17582)+E(f812(x17581,x17583,x17584),f812(x17582,x17583,x17584))
% 164.85/165.10 [1759]~E(x17591,x17592)+E(f812(x17593,x17591,x17594),f812(x17593,x17592,x17594))
% 164.85/165.10 [1760]~E(x17601,x17602)+E(f812(x17603,x17604,x17601),f812(x17603,x17604,x17602))
% 164.85/165.10 [1761]~E(x17611,x17612)+E(f838(x17611,x17613),f838(x17612,x17613))
% 164.85/165.10 [1762]~E(x17621,x17622)+E(f838(x17623,x17621),f838(x17623,x17622))
% 164.85/165.10 [1763]~E(x17631,x17632)+E(f871(x17631,x17633,x17634,x17635,x17636,x17637),f871(x17632,x17633,x17634,x17635,x17636,x17637))
% 164.85/165.10 [1764]~E(x17641,x17642)+E(f871(x17643,x17641,x17644,x17645,x17646,x17647),f871(x17643,x17642,x17644,x17645,x17646,x17647))
% 164.85/165.10 [1765]~E(x17651,x17652)+E(f871(x17653,x17654,x17651,x17655,x17656,x17657),f871(x17653,x17654,x17652,x17655,x17656,x17657))
% 164.85/165.10 [1766]~E(x17661,x17662)+E(f871(x17663,x17664,x17665,x17661,x17666,x17667),f871(x17663,x17664,x17665,x17662,x17666,x17667))
% 164.85/165.10 [1767]~E(x17671,x17672)+E(f871(x17673,x17674,x17675,x17676,x17671,x17677),f871(x17673,x17674,x17675,x17676,x17672,x17677))
% 164.85/165.10 [1768]~E(x17681,x17682)+E(f871(x17683,x17684,x17685,x17686,x17687,x17681),f871(x17683,x17684,x17685,x17686,x17687,x17682))
% 164.85/165.10 [1769]~E(x17691,x17692)+E(f743(x17691,x17693,x17694,x17695),f743(x17692,x17693,x17694,x17695))
% 164.85/165.10 [1770]~E(x17701,x17702)+E(f743(x17703,x17701,x17704,x17705),f743(x17703,x17702,x17704,x17705))
% 164.85/165.10 [1771]~E(x17711,x17712)+E(f743(x17713,x17714,x17711,x17715),f743(x17713,x17714,x17712,x17715))
% 164.85/165.10 [1772]~E(x17721,x17722)+E(f743(x17723,x17724,x17725,x17721),f743(x17723,x17724,x17725,x17722))
% 164.85/165.10 [1773]~E(x17731,x17732)+E(f17(x17731,x17733,x17734,x17735),f17(x17732,x17733,x17734,x17735))
% 164.85/165.10 [1774]~E(x17741,x17742)+E(f17(x17743,x17741,x17744,x17745),f17(x17743,x17742,x17744,x17745))
% 164.85/165.10 [1775]~E(x17751,x17752)+E(f17(x17753,x17754,x17751,x17755),f17(x17753,x17754,x17752,x17755))
% 164.85/165.10 [1776]~E(x17761,x17762)+E(f17(x17763,x17764,x17765,x17761),f17(x17763,x17764,x17765,x17762))
% 164.85/165.10 [1777]~E(x17771,x17772)+E(f813(x17771,x17773,x17774),f813(x17772,x17773,x17774))
% 164.85/165.10 [1778]~E(x17781,x17782)+E(f813(x17783,x17781,x17784),f813(x17783,x17782,x17784))
% 164.85/165.10 [1779]~E(x17791,x17792)+E(f813(x17793,x17794,x17791),f813(x17793,x17794,x17792))
% 164.85/165.10 [1780]~E(x17801,x17802)+E(f105(x17801,x17803,x17804),f105(x17802,x17803,x17804))
% 164.85/165.10 [1781]~E(x17811,x17812)+E(f105(x17813,x17811,x17814),f105(x17813,x17812,x17814))
% 164.85/165.10 [1782]~E(x17821,x17822)+E(f105(x17823,x17824,x17821),f105(x17823,x17824,x17822))
% 164.85/165.10 [1783]~E(x17831,x17832)+E(f173(x17831,x17833,x17834,x17835),f173(x17832,x17833,x17834,x17835))
% 164.85/165.10 [1784]~E(x17841,x17842)+E(f173(x17843,x17841,x17844,x17845),f173(x17843,x17842,x17844,x17845))
% 164.85/165.10 [1785]~E(x17851,x17852)+E(f173(x17853,x17854,x17851,x17855),f173(x17853,x17854,x17852,x17855))
% 164.85/165.10 [1786]~E(x17861,x17862)+E(f173(x17863,x17864,x17865,x17861),f173(x17863,x17864,x17865,x17862))
% 164.85/165.10 [1787]~E(x17871,x17872)+E(f21(x17871,x17873),f21(x17872,x17873))
% 164.85/165.10 [1788]~E(x17881,x17882)+E(f21(x17883,x17881),f21(x17883,x17882))
% 164.85/165.10 [1789]~E(x17891,x17892)+E(f590(x17891,x17893,x17894),f590(x17892,x17893,x17894))
% 164.85/165.10 [1790]~E(x17901,x17902)+E(f590(x17903,x17901,x17904),f590(x17903,x17902,x17904))
% 164.85/165.10 [1791]~E(x17911,x17912)+E(f590(x17913,x17914,x17911),f590(x17913,x17914,x17912))
% 164.85/165.10 [1792]~E(x17921,x17922)+E(f423(x17921,x17923),f423(x17922,x17923))
% 164.85/165.10 [1793]~E(x17931,x17932)+E(f423(x17933,x17931),f423(x17933,x17932))
% 164.85/165.10 [1794]~E(x17941,x17942)+E(f539(x17941,x17943,x17944,x17945,x17946,x17947),f539(x17942,x17943,x17944,x17945,x17946,x17947))
% 164.85/165.10 [1795]~E(x17951,x17952)+E(f539(x17953,x17951,x17954,x17955,x17956,x17957),f539(x17953,x17952,x17954,x17955,x17956,x17957))
% 164.85/165.10 [1796]~E(x17961,x17962)+E(f539(x17963,x17964,x17961,x17965,x17966,x17967),f539(x17963,x17964,x17962,x17965,x17966,x17967))
% 164.85/165.10 [1797]~E(x17971,x17972)+E(f539(x17973,x17974,x17975,x17971,x17976,x17977),f539(x17973,x17974,x17975,x17972,x17976,x17977))
% 164.85/165.10 [1798]~E(x17981,x17982)+E(f539(x17983,x17984,x17985,x17986,x17981,x17987),f539(x17983,x17984,x17985,x17986,x17982,x17987))
% 164.85/165.10 [1799]~E(x17991,x17992)+E(f539(x17993,x17994,x17995,x17996,x17997,x17991),f539(x17993,x17994,x17995,x17996,x17997,x17992))
% 164.85/165.10 [1800]~E(x18001,x18002)+E(f276(x18001,x18003),f276(x18002,x18003))
% 164.85/165.10 [1801]~E(x18011,x18012)+E(f276(x18013,x18011),f276(x18013,x18012))
% 164.85/165.10 [1802]~E(x18021,x18022)+E(f668(x18021,x18023,x18024,x18025,x18026),f668(x18022,x18023,x18024,x18025,x18026))
% 164.85/165.10 [1803]~E(x18031,x18032)+E(f668(x18033,x18031,x18034,x18035,x18036),f668(x18033,x18032,x18034,x18035,x18036))
% 164.85/165.10 [1804]~E(x18041,x18042)+E(f668(x18043,x18044,x18041,x18045,x18046),f668(x18043,x18044,x18042,x18045,x18046))
% 164.85/165.10 [1805]~E(x18051,x18052)+E(f668(x18053,x18054,x18055,x18051,x18056),f668(x18053,x18054,x18055,x18052,x18056))
% 164.85/165.10 [1806]~E(x18061,x18062)+E(f668(x18063,x18064,x18065,x18066,x18061),f668(x18063,x18064,x18065,x18066,x18062))
% 164.85/165.10 [1807]~E(x18071,x18072)+E(f809(x18071,x18073,x18074,x18075,x18076,x18077,x18078),f809(x18072,x18073,x18074,x18075,x18076,x18077,x18078))
% 164.85/165.10 [1808]~E(x18081,x18082)+E(f809(x18083,x18081,x18084,x18085,x18086,x18087,x18088),f809(x18083,x18082,x18084,x18085,x18086,x18087,x18088))
% 164.85/165.10 [1809]~E(x18091,x18092)+E(f809(x18093,x18094,x18091,x18095,x18096,x18097,x18098),f809(x18093,x18094,x18092,x18095,x18096,x18097,x18098))
% 164.85/165.10 [1810]~E(x18101,x18102)+E(f809(x18103,x18104,x18105,x18101,x18106,x18107,x18108),f809(x18103,x18104,x18105,x18102,x18106,x18107,x18108))
% 164.85/165.10 [1811]~E(x18111,x18112)+E(f809(x18113,x18114,x18115,x18116,x18111,x18117,x18118),f809(x18113,x18114,x18115,x18116,x18112,x18117,x18118))
% 164.85/165.10 [1812]~E(x18121,x18122)+E(f809(x18123,x18124,x18125,x18126,x18127,x18121,x18128),f809(x18123,x18124,x18125,x18126,x18127,x18122,x18128))
% 164.85/165.10 [1813]~E(x18131,x18132)+E(f809(x18133,x18134,x18135,x18136,x18137,x18138,x18131),f809(x18133,x18134,x18135,x18136,x18137,x18138,x18132))
% 164.85/165.10 [1814]~E(x18141,x18142)+E(f559(x18141,x18143,x18144,x18145),f559(x18142,x18143,x18144,x18145))
% 164.85/165.10 [1815]~E(x18151,x18152)+E(f559(x18153,x18151,x18154,x18155),f559(x18153,x18152,x18154,x18155))
% 164.85/165.10 [1816]~E(x18161,x18162)+E(f559(x18163,x18164,x18161,x18165),f559(x18163,x18164,x18162,x18165))
% 164.85/165.10 [1817]~E(x18171,x18172)+E(f559(x18173,x18174,x18175,x18171),f559(x18173,x18174,x18175,x18172))
% 164.85/165.10 [1818]~E(x18181,x18182)+E(f877(x18181,x18183,x18184,x18185),f877(x18182,x18183,x18184,x18185))
% 164.85/165.10 [1819]~E(x18191,x18192)+E(f877(x18193,x18191,x18194,x18195),f877(x18193,x18192,x18194,x18195))
% 164.85/165.10 [1820]~E(x18201,x18202)+E(f877(x18203,x18204,x18201,x18205),f877(x18203,x18204,x18202,x18205))
% 164.85/165.10 [1821]~E(x18211,x18212)+E(f877(x18213,x18214,x18215,x18211),f877(x18213,x18214,x18215,x18212))
% 164.85/165.10 [1822]~E(x18221,x18222)+E(f685(x18221,x18223,x18224,x18225,x18226,x18227,x18228),f685(x18222,x18223,x18224,x18225,x18226,x18227,x18228))
% 164.85/165.10 [1823]~E(x18231,x18232)+E(f685(x18233,x18231,x18234,x18235,x18236,x18237,x18238),f685(x18233,x18232,x18234,x18235,x18236,x18237,x18238))
% 164.85/165.10 [1824]~E(x18241,x18242)+E(f685(x18243,x18244,x18241,x18245,x18246,x18247,x18248),f685(x18243,x18244,x18242,x18245,x18246,x18247,x18248))
% 164.85/165.10 [1825]~E(x18251,x18252)+E(f685(x18253,x18254,x18255,x18251,x18256,x18257,x18258),f685(x18253,x18254,x18255,x18252,x18256,x18257,x18258))
% 164.85/165.10 [1826]~E(x18261,x18262)+E(f685(x18263,x18264,x18265,x18266,x18261,x18267,x18268),f685(x18263,x18264,x18265,x18266,x18262,x18267,x18268))
% 164.85/165.10 [1827]~E(x18271,x18272)+E(f685(x18273,x18274,x18275,x18276,x18277,x18271,x18278),f685(x18273,x18274,x18275,x18276,x18277,x18272,x18278))
% 164.85/165.10 [1828]~E(x18281,x18282)+E(f685(x18283,x18284,x18285,x18286,x18287,x18288,x18281),f685(x18283,x18284,x18285,x18286,x18287,x18288,x18282))
% 164.85/165.10 [1829]~E(x18291,x18292)+E(f441(x18291,x18293,x18294,x18295,x18296),f441(x18292,x18293,x18294,x18295,x18296))
% 164.85/165.10 [1830]~E(x18301,x18302)+E(f441(x18303,x18301,x18304,x18305,x18306),f441(x18303,x18302,x18304,x18305,x18306))
% 164.85/165.10 [1831]~E(x18311,x18312)+E(f441(x18313,x18314,x18311,x18315,x18316),f441(x18313,x18314,x18312,x18315,x18316))
% 164.85/165.10 [1832]~E(x18321,x18322)+E(f441(x18323,x18324,x18325,x18321,x18326),f441(x18323,x18324,x18325,x18322,x18326))
% 164.85/165.10 [1833]~E(x18331,x18332)+E(f441(x18333,x18334,x18335,x18336,x18331),f441(x18333,x18334,x18335,x18336,x18332))
% 164.85/165.10 [1834]~E(x18341,x18342)+E(f786(x18341,x18343),f786(x18342,x18343))
% 164.85/165.10 [1835]~E(x18351,x18352)+E(f786(x18353,x18351),f786(x18353,x18352))
% 164.85/165.10 [1836]~E(x18361,x18362)+E(f729(x18361,x18363),f729(x18362,x18363))
% 164.85/165.10 [1837]~E(x18371,x18372)+E(f729(x18373,x18371),f729(x18373,x18372))
% 164.85/165.10 [1838]~E(x18381,x18382)+E(f693(x18381,x18383,x18384,x18385,x18386,x18387,x18388),f693(x18382,x18383,x18384,x18385,x18386,x18387,x18388))
% 164.85/165.10 [1839]~E(x18391,x18392)+E(f693(x18393,x18391,x18394,x18395,x18396,x18397,x18398),f693(x18393,x18392,x18394,x18395,x18396,x18397,x18398))
% 164.85/165.10 [1840]~E(x18401,x18402)+E(f693(x18403,x18404,x18401,x18405,x18406,x18407,x18408),f693(x18403,x18404,x18402,x18405,x18406,x18407,x18408))
% 164.85/165.10 [1841]~E(x18411,x18412)+E(f693(x18413,x18414,x18415,x18411,x18416,x18417,x18418),f693(x18413,x18414,x18415,x18412,x18416,x18417,x18418))
% 164.85/165.10 [1842]~E(x18421,x18422)+E(f693(x18423,x18424,x18425,x18426,x18421,x18427,x18428),f693(x18423,x18424,x18425,x18426,x18422,x18427,x18428))
% 164.85/165.10 [1843]~E(x18431,x18432)+E(f693(x18433,x18434,x18435,x18436,x18437,x18431,x18438),f693(x18433,x18434,x18435,x18436,x18437,x18432,x18438))
% 164.85/165.10 [1844]~E(x18441,x18442)+E(f693(x18443,x18444,x18445,x18446,x18447,x18448,x18441),f693(x18443,x18444,x18445,x18446,x18447,x18448,x18442))
% 164.85/165.10 [1845]~E(x18451,x18452)+E(f628(x18451),f628(x18452))
% 164.85/165.10 [1846]~E(x18461,x18462)+E(f487(x18461),f487(x18462))
% 164.85/165.10 [1847]~E(x18471,x18472)+E(f714(x18471,x18473,x18474,x18475,x18476),f714(x18472,x18473,x18474,x18475,x18476))
% 164.85/165.10 [1848]~E(x18481,x18482)+E(f714(x18483,x18481,x18484,x18485,x18486),f714(x18483,x18482,x18484,x18485,x18486))
% 164.85/165.10 [1849]~E(x18491,x18492)+E(f714(x18493,x18494,x18491,x18495,x18496),f714(x18493,x18494,x18492,x18495,x18496))
% 164.85/165.10 [1850]~E(x18501,x18502)+E(f714(x18503,x18504,x18505,x18501,x18506),f714(x18503,x18504,x18505,x18502,x18506))
% 164.85/165.10 [1851]~E(x18511,x18512)+E(f714(x18513,x18514,x18515,x18516,x18511),f714(x18513,x18514,x18515,x18516,x18512))
% 164.85/165.10 [1852]~E(x18521,x18522)+E(f375(x18521,x18523,x18524),f375(x18522,x18523,x18524))
% 164.85/165.10 [1853]~E(x18531,x18532)+E(f375(x18533,x18531,x18534),f375(x18533,x18532,x18534))
% 164.85/165.10 [1854]~E(x18541,x18542)+E(f375(x18543,x18544,x18541),f375(x18543,x18544,x18542))
% 164.85/165.10 [1855]~E(x18551,x18552)+E(f439(x18551,x18553,x18554,x18555,x18556),f439(x18552,x18553,x18554,x18555,x18556))
% 164.85/165.10 [1856]~E(x18561,x18562)+E(f439(x18563,x18561,x18564,x18565,x18566),f439(x18563,x18562,x18564,x18565,x18566))
% 164.85/165.10 [1857]~E(x18571,x18572)+E(f439(x18573,x18574,x18571,x18575,x18576),f439(x18573,x18574,x18572,x18575,x18576))
% 164.85/165.10 [1858]~E(x18581,x18582)+E(f439(x18583,x18584,x18585,x18581,x18586),f439(x18583,x18584,x18585,x18582,x18586))
% 164.85/165.10 [1859]~E(x18591,x18592)+E(f439(x18593,x18594,x18595,x18596,x18591),f439(x18593,x18594,x18595,x18596,x18592))
% 164.85/165.10 [1860]~E(x18601,x18602)+E(f610(x18601,x18603,x18604),f610(x18602,x18603,x18604))
% 164.85/165.10 [1861]~E(x18611,x18612)+E(f610(x18613,x18611,x18614),f610(x18613,x18612,x18614))
% 164.85/165.10 [1862]~E(x18621,x18622)+E(f610(x18623,x18624,x18621),f610(x18623,x18624,x18622))
% 164.85/165.10 [1863]~E(x18631,x18632)+E(f868(x18631,x18633),f868(x18632,x18633))
% 164.85/165.10 [1864]~E(x18641,x18642)+E(f868(x18643,x18641),f868(x18643,x18642))
% 164.85/165.10 [1865]~E(x18651,x18652)+E(f527(x18651,x18653,x18654,x18655),f527(x18652,x18653,x18654,x18655))
% 164.85/165.10 [1866]~E(x18661,x18662)+E(f527(x18663,x18661,x18664,x18665),f527(x18663,x18662,x18664,x18665))
% 164.85/165.10 [1867]~E(x18671,x18672)+E(f527(x18673,x18674,x18671,x18675),f527(x18673,x18674,x18672,x18675))
% 164.85/165.10 [1868]~E(x18681,x18682)+E(f527(x18683,x18684,x18685,x18681),f527(x18683,x18684,x18685,x18682))
% 164.85/165.10 [1869]~E(x18691,x18692)+E(f488(x18691),f488(x18692))
% 164.85/165.10 [1870]~E(x18701,x18702)+E(f560(x18701,x18703,x18704,x18705),f560(x18702,x18703,x18704,x18705))
% 164.85/165.10 [1871]~E(x18711,x18712)+E(f560(x18713,x18711,x18714,x18715),f560(x18713,x18712,x18714,x18715))
% 164.85/165.10 [1872]~E(x18721,x18722)+E(f560(x18723,x18724,x18721,x18725),f560(x18723,x18724,x18722,x18725))
% 164.85/165.10 [1873]~E(x18731,x18732)+E(f560(x18733,x18734,x18735,x18731),f560(x18733,x18734,x18735,x18732))
% 164.85/165.10 [1874]~E(x18741,x18742)+E(f566(x18741,x18743,x18744,x18745,x18746),f566(x18742,x18743,x18744,x18745,x18746))
% 164.85/165.10 [1875]~E(x18751,x18752)+E(f566(x18753,x18751,x18754,x18755,x18756),f566(x18753,x18752,x18754,x18755,x18756))
% 164.85/165.10 [1876]~E(x18761,x18762)+E(f566(x18763,x18764,x18761,x18765,x18766),f566(x18763,x18764,x18762,x18765,x18766))
% 164.85/165.10 [1877]~E(x18771,x18772)+E(f566(x18773,x18774,x18775,x18771,x18776),f566(x18773,x18774,x18775,x18772,x18776))
% 164.85/165.10 [1878]~E(x18781,x18782)+E(f566(x18783,x18784,x18785,x18786,x18781),f566(x18783,x18784,x18785,x18786,x18782))
% 164.85/165.10 [1879]~E(x18791,x18792)+E(f829(x18791,x18793,x18794,x18795,x18796,x18797,x18798),f829(x18792,x18793,x18794,x18795,x18796,x18797,x18798))
% 164.85/165.10 [1880]~E(x18801,x18802)+E(f829(x18803,x18801,x18804,x18805,x18806,x18807,x18808),f829(x18803,x18802,x18804,x18805,x18806,x18807,x18808))
% 164.85/165.10 [1881]~E(x18811,x18812)+E(f829(x18813,x18814,x18811,x18815,x18816,x18817,x18818),f829(x18813,x18814,x18812,x18815,x18816,x18817,x18818))
% 164.85/165.10 [1882]~E(x18821,x18822)+E(f829(x18823,x18824,x18825,x18821,x18826,x18827,x18828),f829(x18823,x18824,x18825,x18822,x18826,x18827,x18828))
% 164.85/165.10 [1883]~E(x18831,x18832)+E(f829(x18833,x18834,x18835,x18836,x18831,x18837,x18838),f829(x18833,x18834,x18835,x18836,x18832,x18837,x18838))
% 164.85/165.10 [1884]~E(x18841,x18842)+E(f829(x18843,x18844,x18845,x18846,x18847,x18841,x18848),f829(x18843,x18844,x18845,x18846,x18847,x18842,x18848))
% 164.85/165.10 [1885]~E(x18851,x18852)+E(f829(x18853,x18854,x18855,x18856,x18857,x18858,x18851),f829(x18853,x18854,x18855,x18856,x18857,x18858,x18852))
% 164.85/165.10 [1886]~E(x18861,x18862)+E(f662(x18861,x18863,x18864),f662(x18862,x18863,x18864))
% 164.85/165.10 [1887]~E(x18871,x18872)+E(f662(x18873,x18871,x18874),f662(x18873,x18872,x18874))
% 164.85/165.10 [1888]~E(x18881,x18882)+E(f662(x18883,x18884,x18881),f662(x18883,x18884,x18882))
% 164.85/165.10 [1889]~E(x18891,x18892)+E(f627(x18891),f627(x18892))
% 164.85/165.10 [1890]~E(x18901,x18902)+E(f622(x18901,x18903),f622(x18902,x18903))
% 164.85/165.10 [1891]~E(x18911,x18912)+E(f622(x18913,x18911),f622(x18913,x18912))
% 164.85/165.10 [1892]~E(x18921,x18922)+E(f280(x18921,x18923),f280(x18922,x18923))
% 164.85/165.10 [1893]~E(x18931,x18932)+E(f280(x18933,x18931),f280(x18933,x18932))
% 164.85/165.10 [1894]~E(x18941,x18942)+E(f390(x18941,x18943,x18944,x18945),f390(x18942,x18943,x18944,x18945))
% 164.85/165.10 [1895]~E(x18951,x18952)+E(f390(x18953,x18951,x18954,x18955),f390(x18953,x18952,x18954,x18955))
% 164.85/165.10 [1896]~E(x18961,x18962)+E(f390(x18963,x18964,x18961,x18965),f390(x18963,x18964,x18962,x18965))
% 164.85/165.10 [1897]~E(x18971,x18972)+E(f390(x18973,x18974,x18975,x18971),f390(x18973,x18974,x18975,x18972))
% 164.85/165.10 [1898]~E(x18981,x18982)+E(f732(x18981,x18983,x18984,x18985),f732(x18982,x18983,x18984,x18985))
% 164.85/165.10 [1899]~E(x18991,x18992)+E(f732(x18993,x18991,x18994,x18995),f732(x18993,x18992,x18994,x18995))
% 164.85/165.10 [1900]~E(x19001,x19002)+E(f732(x19003,x19004,x19001,x19005),f732(x19003,x19004,x19002,x19005))
% 164.85/165.10 [1901]~E(x19011,x19012)+E(f732(x19013,x19014,x19015,x19011),f732(x19013,x19014,x19015,x19012))
% 164.85/165.10 [1902]~E(x19021,x19022)+E(f892(x19021,x19023,x19024,x19025,x19026),f892(x19022,x19023,x19024,x19025,x19026))
% 164.85/165.10 [1903]~E(x19031,x19032)+E(f892(x19033,x19031,x19034,x19035,x19036),f892(x19033,x19032,x19034,x19035,x19036))
% 164.85/165.10 [1904]~E(x19041,x19042)+E(f892(x19043,x19044,x19041,x19045,x19046),f892(x19043,x19044,x19042,x19045,x19046))
% 164.85/165.10 [1905]~E(x19051,x19052)+E(f892(x19053,x19054,x19055,x19051,x19056),f892(x19053,x19054,x19055,x19052,x19056))
% 164.85/165.10 [1906]~E(x19061,x19062)+E(f892(x19063,x19064,x19065,x19066,x19061),f892(x19063,x19064,x19065,x19066,x19062))
% 164.85/165.10 [1907]~E(x19071,x19072)+E(f389(x19071,x19073,x19074,x19075),f389(x19072,x19073,x19074,x19075))
% 164.85/165.10 [1908]~E(x19081,x19082)+E(f389(x19083,x19081,x19084,x19085),f389(x19083,x19082,x19084,x19085))
% 164.85/165.10 [1909]~E(x19091,x19092)+E(f389(x19093,x19094,x19091,x19095),f389(x19093,x19094,x19092,x19095))
% 164.85/165.10 [1910]~E(x19101,x19102)+E(f389(x19103,x19104,x19105,x19101),f389(x19103,x19104,x19105,x19102))
% 164.85/165.10 [1911]~E(x19111,x19112)+E(f523(x19111,x19113),f523(x19112,x19113))
% 164.85/165.10 [1912]~E(x19121,x19122)+E(f523(x19123,x19121),f523(x19123,x19122))
% 164.85/165.10 [1913]~E(x19131,x19132)+E(f354(x19131,x19133,x19134,x19135),f354(x19132,x19133,x19134,x19135))
% 164.85/165.10 [1914]~E(x19141,x19142)+E(f354(x19143,x19141,x19144,x19145),f354(x19143,x19142,x19144,x19145))
% 164.85/165.10 [1915]~E(x19151,x19152)+E(f354(x19153,x19154,x19151,x19155),f354(x19153,x19154,x19152,x19155))
% 164.85/165.10 [1916]~E(x19161,x19162)+E(f354(x19163,x19164,x19165,x19161),f354(x19163,x19164,x19165,x19162))
% 164.85/165.10 [1917]~E(x19171,x19172)+E(f848(x19171,x19173,x19174,x19175,x19176,x19177,x19178),f848(x19172,x19173,x19174,x19175,x19176,x19177,x19178))
% 164.85/165.10 [1918]~E(x19181,x19182)+E(f848(x19183,x19181,x19184,x19185,x19186,x19187,x19188),f848(x19183,x19182,x19184,x19185,x19186,x19187,x19188))
% 164.85/165.10 [1919]~E(x19191,x19192)+E(f848(x19193,x19194,x19191,x19195,x19196,x19197,x19198),f848(x19193,x19194,x19192,x19195,x19196,x19197,x19198))
% 164.85/165.10 [1920]~E(x19201,x19202)+E(f848(x19203,x19204,x19205,x19201,x19206,x19207,x19208),f848(x19203,x19204,x19205,x19202,x19206,x19207,x19208))
% 164.85/165.10 [1921]~E(x19211,x19212)+E(f848(x19213,x19214,x19215,x19216,x19211,x19217,x19218),f848(x19213,x19214,x19215,x19216,x19212,x19217,x19218))
% 164.85/165.10 [1922]~E(x19221,x19222)+E(f848(x19223,x19224,x19225,x19226,x19227,x19221,x19228),f848(x19223,x19224,x19225,x19226,x19227,x19222,x19228))
% 164.85/165.10 [1923]~E(x19231,x19232)+E(f848(x19233,x19234,x19235,x19236,x19237,x19238,x19231),f848(x19233,x19234,x19235,x19236,x19237,x19238,x19232))
% 164.85/165.10 [1924]~E(x19241,x19242)+E(f440(x19241,x19243,x19244,x19245,x19246),f440(x19242,x19243,x19244,x19245,x19246))
% 164.85/165.10 [1925]~E(x19251,x19252)+E(f440(x19253,x19251,x19254,x19255,x19256),f440(x19253,x19252,x19254,x19255,x19256))
% 164.85/165.10 [1926]~E(x19261,x19262)+E(f440(x19263,x19264,x19261,x19265,x19266),f440(x19263,x19264,x19262,x19265,x19266))
% 164.85/165.10 [1927]~E(x19271,x19272)+E(f440(x19273,x19274,x19275,x19271,x19276),f440(x19273,x19274,x19275,x19272,x19276))
% 164.85/165.10 [1928]~E(x19281,x19282)+E(f440(x19283,x19284,x19285,x19286,x19281),f440(x19283,x19284,x19285,x19286,x19282))
% 164.85/165.10 [1929]~E(x19291,x19292)+E(f842(x19291,x19293,x19294,x19295,x19296,x19297,x19298),f842(x19292,x19293,x19294,x19295,x19296,x19297,x19298))
% 164.85/165.10 [1930]~E(x19301,x19302)+E(f842(x19303,x19301,x19304,x19305,x19306,x19307,x19308),f842(x19303,x19302,x19304,x19305,x19306,x19307,x19308))
% 164.85/165.10 [1931]~E(x19311,x19312)+E(f842(x19313,x19314,x19311,x19315,x19316,x19317,x19318),f842(x19313,x19314,x19312,x19315,x19316,x19317,x19318))
% 164.85/165.10 [1932]~E(x19321,x19322)+E(f842(x19323,x19324,x19325,x19321,x19326,x19327,x19328),f842(x19323,x19324,x19325,x19322,x19326,x19327,x19328))
% 164.85/165.10 [1933]~E(x19331,x19332)+E(f842(x19333,x19334,x19335,x19336,x19331,x19337,x19338),f842(x19333,x19334,x19335,x19336,x19332,x19337,x19338))
% 164.85/165.10 [1934]~E(x19341,x19342)+E(f842(x19343,x19344,x19345,x19346,x19347,x19341,x19348),f842(x19343,x19344,x19345,x19346,x19347,x19342,x19348))
% 164.85/165.10 [1935]~E(x19351,x19352)+E(f842(x19353,x19354,x19355,x19356,x19357,x19358,x19351),f842(x19353,x19354,x19355,x19356,x19357,x19358,x19352))
% 164.85/165.10 [1936]~E(x19361,x19362)+E(f577(x19361,x19363,x19364,x19365),f577(x19362,x19363,x19364,x19365))
% 164.85/165.10 [1937]~E(x19371,x19372)+E(f577(x19373,x19371,x19374,x19375),f577(x19373,x19372,x19374,x19375))
% 164.85/165.10 [1938]~E(x19381,x19382)+E(f577(x19383,x19384,x19381,x19385),f577(x19383,x19384,x19382,x19385))
% 164.85/165.10 [1939]~E(x19391,x19392)+E(f577(x19393,x19394,x19395,x19391),f577(x19393,x19394,x19395,x19392))
% 164.85/165.10 [1940]~E(x19401,x19402)+E(f515(x19401,x19403,x19404),f515(x19402,x19403,x19404))
% 164.85/165.10 [1941]~E(x19411,x19412)+E(f515(x19413,x19411,x19414),f515(x19413,x19412,x19414))
% 164.85/165.10 [1942]~E(x19421,x19422)+E(f515(x19423,x19424,x19421),f515(x19423,x19424,x19422))
% 164.85/165.10 [1943]~E(x19431,x19432)+E(f831(x19431,x19433,x19434),f831(x19432,x19433,x19434))
% 164.85/165.10 [1944]~E(x19441,x19442)+E(f831(x19443,x19441,x19444),f831(x19443,x19442,x19444))
% 164.85/165.10 [1945]~E(x19451,x19452)+E(f831(x19453,x19454,x19451),f831(x19453,x19454,x19452))
% 164.85/165.10 [1946]~E(x19461,x19462)+E(f790(x19461,x19463),f790(x19462,x19463))
% 164.85/165.10 [1947]~E(x19471,x19472)+E(f790(x19473,x19471),f790(x19473,x19472))
% 164.85/165.10 [1948]~E(x19481,x19482)+E(f712(x19481,x19483,x19484,x19485,x19486),f712(x19482,x19483,x19484,x19485,x19486))
% 164.85/165.10 [1949]~E(x19491,x19492)+E(f712(x19493,x19491,x19494,x19495,x19496),f712(x19493,x19492,x19494,x19495,x19496))
% 164.85/165.10 [1950]~E(x19501,x19502)+E(f712(x19503,x19504,x19501,x19505,x19506),f712(x19503,x19504,x19502,x19505,x19506))
% 164.85/165.10 [1951]~E(x19511,x19512)+E(f712(x19513,x19514,x19515,x19511,x19516),f712(x19513,x19514,x19515,x19512,x19516))
% 164.85/165.10 [1952]~E(x19521,x19522)+E(f712(x19523,x19524,x19525,x19526,x19521),f712(x19523,x19524,x19525,x19526,x19522))
% 164.85/165.10 [1953]~E(x19531,x19532)+E(f40(x19531,x19533,x19534,x19535),f40(x19532,x19533,x19534,x19535))
% 164.85/165.10 [1954]~E(x19541,x19542)+E(f40(x19543,x19541,x19544,x19545),f40(x19543,x19542,x19544,x19545))
% 164.85/165.10 [1955]~E(x19551,x19552)+E(f40(x19553,x19554,x19551,x19555),f40(x19553,x19554,x19552,x19555))
% 164.85/165.10 [1956]~E(x19561,x19562)+E(f40(x19563,x19564,x19565,x19561),f40(x19563,x19564,x19565,x19562))
% 164.85/165.10 [1957]~E(x19571,x19572)+E(f506(x19571,x19573,x19574,x19575,x19576,x19577),f506(x19572,x19573,x19574,x19575,x19576,x19577))
% 164.85/165.10 [1958]~E(x19581,x19582)+E(f506(x19583,x19581,x19584,x19585,x19586,x19587),f506(x19583,x19582,x19584,x19585,x19586,x19587))
% 164.85/165.10 [1959]~E(x19591,x19592)+E(f506(x19593,x19594,x19591,x19595,x19596,x19597),f506(x19593,x19594,x19592,x19595,x19596,x19597))
% 164.85/165.10 [1960]~E(x19601,x19602)+E(f506(x19603,x19604,x19605,x19601,x19606,x19607),f506(x19603,x19604,x19605,x19602,x19606,x19607))
% 164.85/165.10 [1961]~E(x19611,x19612)+E(f506(x19613,x19614,x19615,x19616,x19611,x19617),f506(x19613,x19614,x19615,x19616,x19612,x19617))
% 164.85/165.10 [1962]~E(x19621,x19622)+E(f506(x19623,x19624,x19625,x19626,x19627,x19621),f506(x19623,x19624,x19625,x19626,x19627,x19622))
% 164.85/165.10 [1963]~E(x19631,x19632)+E(f473(x19631,x19633),f473(x19632,x19633))
% 164.85/165.10 [1964]~E(x19641,x19642)+E(f473(x19643,x19641),f473(x19643,x19642))
% 164.85/165.10 [1965]~E(x19651,x19652)+E(f620(x19651,x19653,x19654,x19655,x19656),f620(x19652,x19653,x19654,x19655,x19656))
% 164.85/165.10 [1966]~E(x19661,x19662)+E(f620(x19663,x19661,x19664,x19665,x19666),f620(x19663,x19662,x19664,x19665,x19666))
% 164.85/165.10 [1967]~E(x19671,x19672)+E(f620(x19673,x19674,x19671,x19675,x19676),f620(x19673,x19674,x19672,x19675,x19676))
% 164.85/165.10 [1968]~E(x19681,x19682)+E(f620(x19683,x19684,x19685,x19681,x19686),f620(x19683,x19684,x19685,x19682,x19686))
% 164.85/165.10 [1969]~E(x19691,x19692)+E(f620(x19693,x19694,x19695,x19696,x19691),f620(x19693,x19694,x19695,x19696,x19692))
% 164.85/165.10 [1970]~E(x19701,x19702)+E(f19(x19701,x19703,x19704,x19705),f19(x19702,x19703,x19704,x19705))
% 164.85/165.10 [1971]~E(x19711,x19712)+E(f19(x19713,x19711,x19714,x19715),f19(x19713,x19712,x19714,x19715))
% 164.85/165.10 [1972]~E(x19721,x19722)+E(f19(x19723,x19724,x19721,x19725),f19(x19723,x19724,x19722,x19725))
% 164.85/165.10 [1973]~E(x19731,x19732)+E(f19(x19733,x19734,x19735,x19731),f19(x19733,x19734,x19735,x19732))
% 164.85/165.10 [1974]~E(x19741,x19742)+E(f215(x19741),f215(x19742))
% 164.85/165.10 [1975]~E(x19751,x19752)+E(f353(x19751,x19753,x19754,x19755,x19756,x19757,x19758),f353(x19752,x19753,x19754,x19755,x19756,x19757,x19758))
% 164.85/165.10 [1976]~E(x19761,x19762)+E(f353(x19763,x19761,x19764,x19765,x19766,x19767,x19768),f353(x19763,x19762,x19764,x19765,x19766,x19767,x19768))
% 164.85/165.10 [1977]~E(x19771,x19772)+E(f353(x19773,x19774,x19771,x19775,x19776,x19777,x19778),f353(x19773,x19774,x19772,x19775,x19776,x19777,x19778))
% 164.85/165.10 [1978]~E(x19781,x19782)+E(f353(x19783,x19784,x19785,x19781,x19786,x19787,x19788),f353(x19783,x19784,x19785,x19782,x19786,x19787,x19788))
% 164.85/165.10 [1979]~E(x19791,x19792)+E(f353(x19793,x19794,x19795,x19796,x19791,x19797,x19798),f353(x19793,x19794,x19795,x19796,x19792,x19797,x19798))
% 164.85/165.10 [1980]~E(x19801,x19802)+E(f353(x19803,x19804,x19805,x19806,x19807,x19801,x19808),f353(x19803,x19804,x19805,x19806,x19807,x19802,x19808))
% 164.85/165.10 [1981]~E(x19811,x19812)+E(f353(x19813,x19814,x19815,x19816,x19817,x19818,x19811),f353(x19813,x19814,x19815,x19816,x19817,x19818,x19812))
% 164.85/165.10 [1982]~E(x19821,x19822)+E(f601(x19821,x19823,x19824,x19825,x19826),f601(x19822,x19823,x19824,x19825,x19826))
% 164.85/165.10 [1983]~E(x19831,x19832)+E(f601(x19833,x19831,x19834,x19835,x19836),f601(x19833,x19832,x19834,x19835,x19836))
% 164.85/165.10 [1984]~E(x19841,x19842)+E(f601(x19843,x19844,x19841,x19845,x19846),f601(x19843,x19844,x19842,x19845,x19846))
% 164.85/165.10 [1985]~E(x19851,x19852)+E(f601(x19853,x19854,x19855,x19851,x19856),f601(x19853,x19854,x19855,x19852,x19856))
% 164.85/165.10 [1986]~E(x19861,x19862)+E(f601(x19863,x19864,x19865,x19866,x19861),f601(x19863,x19864,x19865,x19866,x19862))
% 164.85/165.10 [1987]~E(x19871,x19872)+E(f805(x19871,x19873,x19874,x19875,x19876),f805(x19872,x19873,x19874,x19875,x19876))
% 164.85/165.10 [1988]~E(x19881,x19882)+E(f805(x19883,x19881,x19884,x19885,x19886),f805(x19883,x19882,x19884,x19885,x19886))
% 164.85/165.10 [1989]~E(x19891,x19892)+E(f805(x19893,x19894,x19891,x19895,x19896),f805(x19893,x19894,x19892,x19895,x19896))
% 164.85/165.10 [1990]~E(x19901,x19902)+E(f805(x19903,x19904,x19905,x19901,x19906),f805(x19903,x19904,x19905,x19902,x19906))
% 164.85/165.10 [1991]~E(x19911,x19912)+E(f805(x19913,x19914,x19915,x19916,x19911),f805(x19913,x19914,x19915,x19916,x19912))
% 164.85/165.10 [1992]~E(x19921,x19922)+E(f216(x19921,x19923),f216(x19922,x19923))
% 164.85/165.10 [1993]~E(x19931,x19932)+E(f216(x19933,x19931),f216(x19933,x19932))
% 164.85/165.10 [1994]~E(x19941,x19942)+E(f522(x19941,x19943),f522(x19942,x19943))
% 164.85/165.10 [1995]~E(x19951,x19952)+E(f522(x19953,x19951),f522(x19953,x19952))
% 164.85/165.10 [1996]~E(x19961,x19962)+E(f706(x19961,x19963,x19964,x19965,x19966,x19967),f706(x19962,x19963,x19964,x19965,x19966,x19967))
% 164.85/165.10 [1997]~E(x19971,x19972)+E(f706(x19973,x19971,x19974,x19975,x19976,x19977),f706(x19973,x19972,x19974,x19975,x19976,x19977))
% 164.85/165.10 [1998]~E(x19981,x19982)+E(f706(x19983,x19984,x19981,x19985,x19986,x19987),f706(x19983,x19984,x19982,x19985,x19986,x19987))
% 164.85/165.10 [1999]~E(x19991,x19992)+E(f706(x19993,x19994,x19995,x19991,x19996,x19997),f706(x19993,x19994,x19995,x19992,x19996,x19997))
% 164.85/165.10 [2000]~E(x20001,x20002)+E(f706(x20003,x20004,x20005,x20006,x20001,x20007),f706(x20003,x20004,x20005,x20006,x20002,x20007))
% 164.85/165.10 [2001]~E(x20011,x20012)+E(f706(x20013,x20014,x20015,x20016,x20017,x20011),f706(x20013,x20014,x20015,x20016,x20017,x20012))
% 164.85/165.10 [2002]~E(x20021,x20022)+E(f778(x20021,x20023,x20024),f778(x20022,x20023,x20024))
% 164.85/165.10 [2003]~E(x20031,x20032)+E(f778(x20033,x20031,x20034),f778(x20033,x20032,x20034))
% 164.85/165.10 [2004]~E(x20041,x20042)+E(f778(x20043,x20044,x20041),f778(x20043,x20044,x20042))
% 164.85/165.10 [2005]~E(x20051,x20052)+E(f553(x20051,x20053),f553(x20052,x20053))
% 164.85/165.10 [2006]~E(x20061,x20062)+E(f553(x20063,x20061),f553(x20063,x20062))
% 164.85/165.10 [2007]~E(x20071,x20072)+E(f909(x20071,x20073,x20074,x20075,x20076,x20077,x20078),f909(x20072,x20073,x20074,x20075,x20076,x20077,x20078))
% 164.85/165.10 [2008]~E(x20081,x20082)+E(f909(x20083,x20081,x20084,x20085,x20086,x20087,x20088),f909(x20083,x20082,x20084,x20085,x20086,x20087,x20088))
% 164.85/165.10 [2009]~E(x20091,x20092)+E(f909(x20093,x20094,x20091,x20095,x20096,x20097,x20098),f909(x20093,x20094,x20092,x20095,x20096,x20097,x20098))
% 164.85/165.10 [2010]~E(x20101,x20102)+E(f909(x20103,x20104,x20105,x20101,x20106,x20107,x20108),f909(x20103,x20104,x20105,x20102,x20106,x20107,x20108))
% 164.85/165.10 [2011]~E(x20111,x20112)+E(f909(x20113,x20114,x20115,x20116,x20111,x20117,x20118),f909(x20113,x20114,x20115,x20116,x20112,x20117,x20118))
% 164.85/165.10 [2012]~E(x20121,x20122)+E(f909(x20123,x20124,x20125,x20126,x20127,x20121,x20128),f909(x20123,x20124,x20125,x20126,x20127,x20122,x20128))
% 164.85/165.10 [2013]~E(x20131,x20132)+E(f909(x20133,x20134,x20135,x20136,x20137,x20138,x20131),f909(x20133,x20134,x20135,x20136,x20137,x20138,x20132))
% 164.85/165.10 [2014]~E(x20141,x20142)+E(f279(x20141,x20143),f279(x20142,x20143))
% 164.85/165.10 [2015]~E(x20151,x20152)+E(f279(x20153,x20151),f279(x20153,x20152))
% 164.85/165.10 [2016]~E(x20161,x20162)+E(f773(x20161,x20163,x20164),f773(x20162,x20163,x20164))
% 164.85/165.10 [2017]~E(x20171,x20172)+E(f773(x20173,x20171,x20174),f773(x20173,x20172,x20174))
% 164.85/165.10 [2018]~E(x20181,x20182)+E(f773(x20183,x20184,x20181),f773(x20183,x20184,x20182))
% 164.85/165.10 [2019]~E(x20191,x20192)+E(f538(x20191,x20193,x20194),f538(x20192,x20193,x20194))
% 164.85/165.10 [2020]~E(x20201,x20202)+E(f538(x20203,x20201,x20204),f538(x20203,x20202,x20204))
% 164.85/165.10 [2021]~E(x20211,x20212)+E(f538(x20213,x20214,x20211),f538(x20213,x20214,x20212))
% 164.85/165.10 [2022]~E(x20221,x20222)+E(f220(x20221,x20223,x20224,x20225),f220(x20222,x20223,x20224,x20225))
% 164.85/165.10 [2023]~E(x20231,x20232)+E(f220(x20233,x20231,x20234,x20235),f220(x20233,x20232,x20234,x20235))
% 164.85/165.10 [2024]~E(x20241,x20242)+E(f220(x20243,x20244,x20241,x20245),f220(x20243,x20244,x20242,x20245))
% 164.85/165.10 [2025]~E(x20251,x20252)+E(f220(x20253,x20254,x20255,x20251),f220(x20253,x20254,x20255,x20252))
% 164.85/165.10 [2026]~E(x20261,x20262)+E(f477(x20261),f477(x20262))
% 164.85/165.10 [2027]~E(x20271,x20272)+E(f761(x20271,x20273,x20274,x20275,x20276),f761(x20272,x20273,x20274,x20275,x20276))
% 164.85/165.10 [2028]~E(x20281,x20282)+E(f761(x20283,x20281,x20284,x20285,x20286),f761(x20283,x20282,x20284,x20285,x20286))
% 164.85/165.10 [2029]~E(x20291,x20292)+E(f761(x20293,x20294,x20291,x20295,x20296),f761(x20293,x20294,x20292,x20295,x20296))
% 164.85/165.10 [2030]~E(x20301,x20302)+E(f761(x20303,x20304,x20305,x20301,x20306),f761(x20303,x20304,x20305,x20302,x20306))
% 164.85/165.10 [2031]~E(x20311,x20312)+E(f761(x20313,x20314,x20315,x20316,x20311),f761(x20313,x20314,x20315,x20316,x20312))
% 164.85/165.10 [2032]~E(x20321,x20322)+E(f429(x20321,x20323,x20324),f429(x20322,x20323,x20324))
% 164.85/165.10 [2033]~E(x20331,x20332)+E(f429(x20333,x20331,x20334),f429(x20333,x20332,x20334))
% 164.85/165.10 [2034]~E(x20341,x20342)+E(f429(x20343,x20344,x20341),f429(x20343,x20344,x20342))
% 164.85/165.10 [2035]~E(x20351,x20352)+E(f373(x20351,x20353,x20354),f373(x20352,x20353,x20354))
% 164.85/165.10 [2036]~E(x20361,x20362)+E(f373(x20363,x20361,x20364),f373(x20363,x20362,x20364))
% 164.85/165.10 [2037]~E(x20371,x20372)+E(f373(x20373,x20374,x20371),f373(x20373,x20374,x20372))
% 164.85/165.10 [2038]~E(x20381,x20382)+E(f572(x20381,x20383,x20384,x20385),f572(x20382,x20383,x20384,x20385))
% 164.85/165.10 [2039]~E(x20391,x20392)+E(f572(x20393,x20391,x20394,x20395),f572(x20393,x20392,x20394,x20395))
% 164.85/165.10 [2040]~E(x20401,x20402)+E(f572(x20403,x20404,x20401,x20405),f572(x20403,x20404,x20402,x20405))
% 164.85/165.10 [2041]~E(x20411,x20412)+E(f572(x20413,x20414,x20415,x20411),f572(x20413,x20414,x20415,x20412))
% 164.85/165.10 [2042]~E(x20421,x20422)+E(f535(x20421,x20423),f535(x20422,x20423))
% 164.85/165.10 [2043]~E(x20431,x20432)+E(f535(x20433,x20431),f535(x20433,x20432))
% 164.85/165.10 [2044]~E(x20441,x20442)+E(f728(x20441,x20443),f728(x20442,x20443))
% 164.85/165.10 [2045]~E(x20451,x20452)+E(f728(x20453,x20451),f728(x20453,x20452))
% 164.85/165.10 [2046]~E(x20461,x20462)+E(f704(x20461,x20463),f704(x20462,x20463))
% 164.85/165.10 [2047]~E(x20471,x20472)+E(f704(x20473,x20471),f704(x20473,x20472))
% 164.85/165.10 [2048]~E(x20481,x20482)+E(f383(x20481,x20483,x20484),f383(x20482,x20483,x20484))
% 164.85/165.10 [2049]~E(x20491,x20492)+E(f383(x20493,x20491,x20494),f383(x20493,x20492,x20494))
% 164.85/165.10 [2050]~E(x20501,x20502)+E(f383(x20503,x20504,x20501),f383(x20503,x20504,x20502))
% 164.85/165.10 [2051]~E(x20511,x20512)+E(f274(x20511,x20513,x20514,x20515,x20516),f274(x20512,x20513,x20514,x20515,x20516))
% 164.85/165.10 [2052]~E(x20521,x20522)+E(f274(x20523,x20521,x20524,x20525,x20526),f274(x20523,x20522,x20524,x20525,x20526))
% 164.85/165.10 [2053]~E(x20531,x20532)+E(f274(x20533,x20534,x20531,x20535,x20536),f274(x20533,x20534,x20532,x20535,x20536))
% 164.85/165.10 [2054]~E(x20541,x20542)+E(f274(x20543,x20544,x20545,x20541,x20546),f274(x20543,x20544,x20545,x20542,x20546))
% 164.85/165.10 [2055]~E(x20551,x20552)+E(f274(x20553,x20554,x20555,x20556,x20551),f274(x20553,x20554,x20555,x20556,x20552))
% 164.85/165.10 [2056]~E(x20561,x20562)+E(f651(x20561,x20563,x20564),f651(x20562,x20563,x20564))
% 164.85/165.10 [2057]~E(x20571,x20572)+E(f651(x20573,x20571,x20574),f651(x20573,x20572,x20574))
% 164.85/165.10 [2058]~E(x20581,x20582)+E(f651(x20583,x20584,x20581),f651(x20583,x20584,x20582))
% 164.85/165.10 [2059]~E(x20591,x20592)+E(f367(x20591,x20593),f367(x20592,x20593))
% 164.85/165.10 [2060]~E(x20601,x20602)+E(f367(x20603,x20601),f367(x20603,x20602))
% 164.85/165.10 [2061]~E(x20611,x20612)+E(f184(x20611,x20613,x20614),f184(x20612,x20613,x20614))
% 164.85/165.10 [2062]~E(x20621,x20622)+E(f184(x20623,x20621,x20624),f184(x20623,x20622,x20624))
% 164.85/165.10 [2063]~E(x20631,x20632)+E(f184(x20633,x20634,x20631),f184(x20633,x20634,x20632))
% 164.85/165.10 [2064]~E(x20641,x20642)+E(f893(x20641,x20643,x20644,x20645,x20646),f893(x20642,x20643,x20644,x20645,x20646))
% 164.85/165.10 [2065]~E(x20651,x20652)+E(f893(x20653,x20651,x20654,x20655,x20656),f893(x20653,x20652,x20654,x20655,x20656))
% 164.85/165.10 [2066]~E(x20661,x20662)+E(f893(x20663,x20664,x20661,x20665,x20666),f893(x20663,x20664,x20662,x20665,x20666))
% 164.85/165.10 [2067]~E(x20671,x20672)+E(f893(x20673,x20674,x20675,x20671,x20676),f893(x20673,x20674,x20675,x20672,x20676))
% 164.85/165.10 [2068]~E(x20681,x20682)+E(f893(x20683,x20684,x20685,x20686,x20681),f893(x20683,x20684,x20685,x20686,x20682))
% 164.85/165.10 [2069]~E(x20691,x20692)+E(f750(x20691,x20693),f750(x20692,x20693))
% 164.85/165.10 [2070]~E(x20701,x20702)+E(f750(x20703,x20701),f750(x20703,x20702))
% 164.85/165.10 [2071]~E(x20711,x20712)+E(f638(x20711,x20713,x20714,x20715,x20716,x20717),f638(x20712,x20713,x20714,x20715,x20716,x20717))
% 164.85/165.10 [2072]~E(x20721,x20722)+E(f638(x20723,x20721,x20724,x20725,x20726,x20727),f638(x20723,x20722,x20724,x20725,x20726,x20727))
% 164.85/165.10 [2073]~E(x20731,x20732)+E(f638(x20733,x20734,x20731,x20735,x20736,x20737),f638(x20733,x20734,x20732,x20735,x20736,x20737))
% 164.85/165.10 [2074]~E(x20741,x20742)+E(f638(x20743,x20744,x20745,x20741,x20746,x20747),f638(x20743,x20744,x20745,x20742,x20746,x20747))
% 164.85/165.10 [2075]~E(x20751,x20752)+E(f638(x20753,x20754,x20755,x20756,x20751,x20757),f638(x20753,x20754,x20755,x20756,x20752,x20757))
% 164.85/165.10 [2076]~E(x20761,x20762)+E(f638(x20763,x20764,x20765,x20766,x20767,x20761),f638(x20763,x20764,x20765,x20766,x20767,x20762))
% 164.85/165.10 [2077]~E(x20771,x20772)+E(f823(x20771,x20773,x20774),f823(x20772,x20773,x20774))
% 164.85/165.10 [2078]~E(x20781,x20782)+E(f823(x20783,x20781,x20784),f823(x20783,x20782,x20784))
% 164.85/165.10 [2079]~E(x20791,x20792)+E(f823(x20793,x20794,x20791),f823(x20793,x20794,x20792))
% 164.85/165.10 [2080]~E(x20801,x20802)+E(f511(x20801,x20803,x20804),f511(x20802,x20803,x20804))
% 164.85/165.10 [2081]~E(x20811,x20812)+E(f511(x20813,x20811,x20814),f511(x20813,x20812,x20814))
% 164.85/165.10 [2082]~E(x20821,x20822)+E(f511(x20823,x20824,x20821),f511(x20823,x20824,x20822))
% 164.85/165.10 [2083]~E(x20831,x20832)+E(f493(x20831),f493(x20832))
% 164.85/165.10 [2084]~E(x20841,x20842)+E(f810(x20841,x20843,x20844),f810(x20842,x20843,x20844))
% 164.85/165.10 [2085]~E(x20851,x20852)+E(f810(x20853,x20851,x20854),f810(x20853,x20852,x20854))
% 164.85/165.10 [2086]~E(x20861,x20862)+E(f810(x20863,x20864,x20861),f810(x20863,x20864,x20862))
% 164.85/165.10 [2087]~E(x20871,x20872)+E(f689(x20871,x20873,x20874,x20875,x20876),f689(x20872,x20873,x20874,x20875,x20876))
% 164.85/165.10 [2088]~E(x20881,x20882)+E(f689(x20883,x20881,x20884,x20885,x20886),f689(x20883,x20882,x20884,x20885,x20886))
% 164.85/165.10 [2089]~E(x20891,x20892)+E(f689(x20893,x20894,x20891,x20895,x20896),f689(x20893,x20894,x20892,x20895,x20896))
% 164.85/165.10 [2090]~E(x20901,x20902)+E(f689(x20903,x20904,x20905,x20901,x20906),f689(x20903,x20904,x20905,x20902,x20906))
% 164.85/165.10 [2091]~E(x20911,x20912)+E(f689(x20913,x20914,x20915,x20916,x20911),f689(x20913,x20914,x20915,x20916,x20912))
% 164.85/165.10 [2092]~E(x20921,x20922)+E(f721(x20921,x20923,x20924,x20925),f721(x20922,x20923,x20924,x20925))
% 164.85/165.10 [2093]~E(x20931,x20932)+E(f721(x20933,x20931,x20934,x20935),f721(x20933,x20932,x20934,x20935))
% 164.85/165.10 [2094]~E(x20941,x20942)+E(f721(x20943,x20944,x20941,x20945),f721(x20943,x20944,x20942,x20945))
% 164.85/165.10 [2095]~E(x20951,x20952)+E(f721(x20953,x20954,x20955,x20951),f721(x20953,x20954,x20955,x20952))
% 164.85/165.10 [2096]~E(x20961,x20962)+E(f860(x20961,x20963,x20964,x20965),f860(x20962,x20963,x20964,x20965))
% 164.85/165.10 [2097]~E(x20971,x20972)+E(f860(x20973,x20971,x20974,x20975),f860(x20973,x20972,x20974,x20975))
% 164.85/165.10 [2098]~E(x20981,x20982)+E(f860(x20983,x20984,x20981,x20985),f860(x20983,x20984,x20982,x20985))
% 164.85/165.10 [2099]~E(x20991,x20992)+E(f860(x20993,x20994,x20995,x20991),f860(x20993,x20994,x20995,x20992))
% 164.85/165.10 [2100]~E(x21001,x21002)+E(f645(x21001,x21003,x21004),f645(x21002,x21003,x21004))
% 164.85/165.10 [2101]~E(x21011,x21012)+E(f645(x21013,x21011,x21014),f645(x21013,x21012,x21014))
% 164.85/165.10 [2102]~E(x21021,x21022)+E(f645(x21023,x21024,x21021),f645(x21023,x21024,x21022))
% 164.85/165.10 [2103]~E(x21031,x21032)+E(f302(x21031,x21033,x21034),f302(x21032,x21033,x21034))
% 164.85/165.10 [2104]~E(x21041,x21042)+E(f302(x21043,x21041,x21044),f302(x21043,x21042,x21044))
% 164.85/165.10 [2105]~E(x21051,x21052)+E(f302(x21053,x21054,x21051),f302(x21053,x21054,x21052))
% 164.85/165.10 [2106]~E(x21061,x21062)+E(f491(x21061),f491(x21062))
% 164.85/165.10 [2107]~E(x21071,x21072)+E(f850(x21071,x21073),f850(x21072,x21073))
% 164.85/165.10 [2108]~E(x21081,x21082)+E(f850(x21083,x21081),f850(x21083,x21082))
% 164.85/165.10 [2109]~E(x21091,x21092)+E(f654(x21091,x21093,x21094,x21095,x21096,x21097),f654(x21092,x21093,x21094,x21095,x21096,x21097))
% 164.85/165.10 [2110]~E(x21101,x21102)+E(f654(x21103,x21101,x21104,x21105,x21106,x21107),f654(x21103,x21102,x21104,x21105,x21106,x21107))
% 164.85/165.10 [2111]~E(x21111,x21112)+E(f654(x21113,x21114,x21111,x21115,x21116,x21117),f654(x21113,x21114,x21112,x21115,x21116,x21117))
% 164.85/165.10 [2112]~E(x21121,x21122)+E(f654(x21123,x21124,x21125,x21121,x21126,x21127),f654(x21123,x21124,x21125,x21122,x21126,x21127))
% 164.85/165.10 [2113]~E(x21131,x21132)+E(f654(x21133,x21134,x21135,x21136,x21131,x21137),f654(x21133,x21134,x21135,x21136,x21132,x21137))
% 164.85/165.10 [2114]~E(x21141,x21142)+E(f654(x21143,x21144,x21145,x21146,x21147,x21141),f654(x21143,x21144,x21145,x21146,x21147,x21142))
% 164.85/165.10 [2115]~E(x21151,x21152)+E(f107(x21151,x21153,x21154,x21155),f107(x21152,x21153,x21154,x21155))
% 164.85/165.10 [2116]~E(x21161,x21162)+E(f107(x21163,x21161,x21164,x21165),f107(x21163,x21162,x21164,x21165))
% 164.85/165.10 [2117]~E(x21171,x21172)+E(f107(x21173,x21174,x21171,x21175),f107(x21173,x21174,x21172,x21175))
% 164.85/165.10 [2118]~E(x21181,x21182)+E(f107(x21183,x21184,x21185,x21181),f107(x21183,x21184,x21185,x21182))
% 164.85/165.10 [2119]~E(x21191,x21192)+E(f674(x21191,x21193,x21194,x21195),f674(x21192,x21193,x21194,x21195))
% 164.85/165.10 [2120]~E(x21201,x21202)+E(f674(x21203,x21201,x21204,x21205),f674(x21203,x21202,x21204,x21205))
% 164.85/165.10 [2121]~E(x21211,x21212)+E(f674(x21213,x21214,x21211,x21215),f674(x21213,x21214,x21212,x21215))
% 164.85/165.10 [2122]~E(x21221,x21222)+E(f674(x21223,x21224,x21225,x21221),f674(x21223,x21224,x21225,x21222))
% 164.85/165.10 [2123]~E(x21231,x21232)+E(f550(x21231,x21233,x21234,x21235,x21236),f550(x21232,x21233,x21234,x21235,x21236))
% 164.85/165.10 [2124]~E(x21241,x21242)+E(f550(x21243,x21241,x21244,x21245,x21246),f550(x21243,x21242,x21244,x21245,x21246))
% 164.85/165.10 [2125]~E(x21251,x21252)+E(f550(x21253,x21254,x21251,x21255,x21256),f550(x21253,x21254,x21252,x21255,x21256))
% 164.85/165.10 [2126]~E(x21261,x21262)+E(f550(x21263,x21264,x21265,x21261,x21266),f550(x21263,x21264,x21265,x21262,x21266))
% 164.85/165.10 [2127]~E(x21271,x21272)+E(f550(x21273,x21274,x21275,x21276,x21271),f550(x21273,x21274,x21275,x21276,x21272))
% 164.85/165.10 [2128]~E(x21281,x21282)+E(f573(x21281,x21283,x21284,x21285),f573(x21282,x21283,x21284,x21285))
% 164.85/165.10 [2129]~E(x21291,x21292)+E(f573(x21293,x21291,x21294,x21295),f573(x21293,x21292,x21294,x21295))
% 164.85/165.10 [2130]~E(x21301,x21302)+E(f573(x21303,x21304,x21301,x21305),f573(x21303,x21304,x21302,x21305))
% 164.85/165.10 [2131]~E(x21311,x21312)+E(f573(x21313,x21314,x21315,x21311),f573(x21313,x21314,x21315,x21312))
% 164.85/165.10 [2132]~E(x21321,x21322)+E(f642(x21321,x21323,x21324),f642(x21322,x21323,x21324))
% 164.85/165.10 [2133]~E(x21331,x21332)+E(f642(x21333,x21331,x21334),f642(x21333,x21332,x21334))
% 164.85/165.10 [2134]~E(x21341,x21342)+E(f642(x21343,x21344,x21341),f642(x21343,x21344,x21342))
% 164.85/165.10 [2135]~E(x21351,x21352)+E(f558(x21351,x21353,x21354,x21355),f558(x21352,x21353,x21354,x21355))
% 164.85/165.10 [2136]~E(x21361,x21362)+E(f558(x21363,x21361,x21364,x21365),f558(x21363,x21362,x21364,x21365))
% 164.85/165.10 [2137]~E(x21371,x21372)+E(f558(x21373,x21374,x21371,x21375),f558(x21373,x21374,x21372,x21375))
% 164.85/165.10 [2138]~E(x21381,x21382)+E(f558(x21383,x21384,x21385,x21381),f558(x21383,x21384,x21385,x21382))
% 164.85/165.10 [2139]~E(x21391,x21392)+E(f478(x21391,x21393),f478(x21392,x21393))
% 164.85/165.10 [2140]~E(x21401,x21402)+E(f478(x21403,x21401),f478(x21403,x21402))
% 164.85/165.10 [2141]~E(x21411,x21412)+E(f536(x21411,x21413,x21414),f536(x21412,x21413,x21414))
% 164.85/165.10 [2142]~E(x21421,x21422)+E(f536(x21423,x21421,x21424),f536(x21423,x21422,x21424))
% 164.85/165.10 [2143]~E(x21431,x21432)+E(f536(x21433,x21434,x21431),f536(x21433,x21434,x21432))
% 164.85/165.10 [2144]~E(x21441,x21442)+E(f834(x21441,x21443,x21444,x21445),f834(x21442,x21443,x21444,x21445))
% 164.85/165.10 [2145]~E(x21451,x21452)+E(f834(x21453,x21451,x21454,x21455),f834(x21453,x21452,x21454,x21455))
% 164.85/165.10 [2146]~E(x21461,x21462)+E(f834(x21463,x21464,x21461,x21465),f834(x21463,x21464,x21462,x21465))
% 164.85/165.10 [2147]~E(x21471,x21472)+E(f834(x21473,x21474,x21475,x21471),f834(x21473,x21474,x21475,x21472))
% 164.85/165.10 [2148]~E(x21481,x21482)+E(f446(x21481,x21483,x21484,x21485,x21486,x21487),f446(x21482,x21483,x21484,x21485,x21486,x21487))
% 164.85/165.10 [2149]~E(x21491,x21492)+E(f446(x21493,x21491,x21494,x21495,x21496,x21497),f446(x21493,x21492,x21494,x21495,x21496,x21497))
% 164.85/165.10 [2150]~E(x21501,x21502)+E(f446(x21503,x21504,x21501,x21505,x21506,x21507),f446(x21503,x21504,x21502,x21505,x21506,x21507))
% 164.85/165.10 [2151]~E(x21511,x21512)+E(f446(x21513,x21514,x21515,x21511,x21516,x21517),f446(x21513,x21514,x21515,x21512,x21516,x21517))
% 164.85/165.10 [2152]~E(x21521,x21522)+E(f446(x21523,x21524,x21525,x21526,x21521,x21527),f446(x21523,x21524,x21525,x21526,x21522,x21527))
% 164.85/165.10 [2153]~E(x21531,x21532)+E(f446(x21533,x21534,x21535,x21536,x21537,x21531),f446(x21533,x21534,x21535,x21536,x21537,x21532))
% 164.85/165.10 [2154]~E(x21541,x21542)+E(f711(x21541,x21543),f711(x21542,x21543))
% 164.85/165.10 [2155]~E(x21551,x21552)+E(f711(x21553,x21551),f711(x21553,x21552))
% 164.85/165.10 [2156]~E(x21561,x21562)+E(f62(x21561,x21563),f62(x21562,x21563))
% 164.85/165.10 [2157]~E(x21571,x21572)+E(f62(x21573,x21571),f62(x21573,x21572))
% 164.85/165.10 [2158]~E(x21581,x21582)+E(f359(x21581,x21583,x21584,x21585,x21586,x21587),f359(x21582,x21583,x21584,x21585,x21586,x21587))
% 164.85/165.10 [2159]~E(x21591,x21592)+E(f359(x21593,x21591,x21594,x21595,x21596,x21597),f359(x21593,x21592,x21594,x21595,x21596,x21597))
% 164.85/165.10 [2160]~E(x21601,x21602)+E(f359(x21603,x21604,x21601,x21605,x21606,x21607),f359(x21603,x21604,x21602,x21605,x21606,x21607))
% 164.85/165.10 [2161]~E(x21611,x21612)+E(f359(x21613,x21614,x21615,x21611,x21616,x21617),f359(x21613,x21614,x21615,x21612,x21616,x21617))
% 164.85/165.10 [2162]~E(x21621,x21622)+E(f359(x21623,x21624,x21625,x21626,x21621,x21627),f359(x21623,x21624,x21625,x21626,x21622,x21627))
% 164.85/165.10 [2163]~E(x21631,x21632)+E(f359(x21633,x21634,x21635,x21636,x21637,x21631),f359(x21633,x21634,x21635,x21636,x21637,x21632))
% 164.85/165.10 [2164]~E(x21641,x21642)+E(f563(x21641,x21643,x21644,x21645),f563(x21642,x21643,x21644,x21645))
% 164.85/165.10 [2165]~E(x21651,x21652)+E(f563(x21653,x21651,x21654,x21655),f563(x21653,x21652,x21654,x21655))
% 164.85/165.10 [2166]~E(x21661,x21662)+E(f563(x21663,x21664,x21661,x21665),f563(x21663,x21664,x21662,x21665))
% 164.85/165.10 [2167]~E(x21671,x21672)+E(f563(x21673,x21674,x21675,x21671),f563(x21673,x21674,x21675,x21672))
% 164.85/165.10 [2168]~E(x21681,x21682)+E(f403(x21681,x21683),f403(x21682,x21683))
% 164.85/165.10 [2169]~E(x21691,x21692)+E(f403(x21693,x21691),f403(x21693,x21692))
% 164.85/165.10 [2170]~E(x21701,x21702)+E(f370(x21701,x21703,x21704),f370(x21702,x21703,x21704))
% 164.85/165.10 [2171]~E(x21711,x21712)+E(f370(x21713,x21711,x21714),f370(x21713,x21712,x21714))
% 164.85/165.10 [2172]~E(x21721,x21722)+E(f370(x21723,x21724,x21721),f370(x21723,x21724,x21722))
% 164.85/165.10 [2173]~E(x21731,x21732)+E(f562(x21731,x21733,x21734),f562(x21732,x21733,x21734))
% 164.85/165.10 [2174]~E(x21741,x21742)+E(f562(x21743,x21741,x21744),f562(x21743,x21742,x21744))
% 164.85/165.10 [2175]~E(x21751,x21752)+E(f562(x21753,x21754,x21751),f562(x21753,x21754,x21752))
% 164.85/165.10 [2176]~E(x21761,x21762)+E(f39(x21761,x21763,x21764,x21765),f39(x21762,x21763,x21764,x21765))
% 164.85/165.10 [2177]~E(x21771,x21772)+E(f39(x21773,x21771,x21774,x21775),f39(x21773,x21772,x21774,x21775))
% 164.85/165.10 [2178]~E(x21781,x21782)+E(f39(x21783,x21784,x21781,x21785),f39(x21783,x21784,x21782,x21785))
% 164.85/165.10 [2179]~E(x21791,x21792)+E(f39(x21793,x21794,x21795,x21791),f39(x21793,x21794,x21795,x21792))
% 164.85/165.10 [2180]~E(x21801,x21802)+E(f303(x21801,x21803,x21804,x21805),f303(x21802,x21803,x21804,x21805))
% 164.85/165.10 [2181]~E(x21811,x21812)+E(f303(x21813,x21811,x21814,x21815),f303(x21813,x21812,x21814,x21815))
% 164.85/165.10 [2182]~E(x21821,x21822)+E(f303(x21823,x21824,x21821,x21825),f303(x21823,x21824,x21822,x21825))
% 164.85/165.10 [2183]~E(x21831,x21832)+E(f303(x21833,x21834,x21835,x21831),f303(x21833,x21834,x21835,x21832))
% 164.85/165.10 [2184]~E(x21841,x21842)+E(f209(x21841,x21843,x21844,x21845),f209(x21842,x21843,x21844,x21845))
% 164.85/165.10 [2185]~E(x21851,x21852)+E(f209(x21853,x21851,x21854,x21855),f209(x21853,x21852,x21854,x21855))
% 164.85/165.10 [2186]~E(x21861,x21862)+E(f209(x21863,x21864,x21861,x21865),f209(x21863,x21864,x21862,x21865))
% 164.85/165.10 [2187]~E(x21871,x21872)+E(f209(x21873,x21874,x21875,x21871),f209(x21873,x21874,x21875,x21872))
% 164.85/165.10 [2188]~E(x21881,x21882)+E(f408(x21881,x21883,x21884,x21885,x21886),f408(x21882,x21883,x21884,x21885,x21886))
% 164.85/165.10 [2189]~E(x21891,x21892)+E(f408(x21893,x21891,x21894,x21895,x21896),f408(x21893,x21892,x21894,x21895,x21896))
% 164.85/165.10 [2190]~E(x21901,x21902)+E(f408(x21903,x21904,x21901,x21905,x21906),f408(x21903,x21904,x21902,x21905,x21906))
% 164.85/165.10 [2191]~E(x21911,x21912)+E(f408(x21913,x21914,x21915,x21911,x21916),f408(x21913,x21914,x21915,x21912,x21916))
% 164.85/165.10 [2192]~E(x21921,x21922)+E(f408(x21923,x21924,x21925,x21926,x21921),f408(x21923,x21924,x21925,x21926,x21922))
% 164.85/165.10 [2193]~E(x21931,x21932)+E(f504(x21931,x21933,x21934,x21935),f504(x21932,x21933,x21934,x21935))
% 164.85/165.10 [2194]~E(x21941,x21942)+E(f504(x21943,x21941,x21944,x21945),f504(x21943,x21942,x21944,x21945))
% 164.85/165.10 [2195]~E(x21951,x21952)+E(f504(x21953,x21954,x21951,x21955),f504(x21953,x21954,x21952,x21955))
% 164.85/165.10 [2196]~E(x21961,x21962)+E(f504(x21963,x21964,x21965,x21961),f504(x21963,x21964,x21965,x21962))
% 164.85/165.10 [2197]~E(x21971,x21972)+E(f501(x21971,x21973,x21974,x21975,x21976),f501(x21972,x21973,x21974,x21975,x21976))
% 164.85/165.10 [2198]~E(x21981,x21982)+E(f501(x21983,x21981,x21984,x21985,x21986),f501(x21983,x21982,x21984,x21985,x21986))
% 164.85/165.10 [2199]~E(x21991,x21992)+E(f501(x21993,x21994,x21991,x21995,x21996),f501(x21993,x21994,x21992,x21995,x21996))
% 164.85/165.10 [2200]~E(x22001,x22002)+E(f501(x22003,x22004,x22005,x22001,x22006),f501(x22003,x22004,x22005,x22002,x22006))
% 164.85/165.10 [2201]~E(x22011,x22012)+E(f501(x22013,x22014,x22015,x22016,x22011),f501(x22013,x22014,x22015,x22016,x22012))
% 164.85/165.10 [2202]~E(x22021,x22022)+E(f592(x22021,x22023,x22024),f592(x22022,x22023,x22024))
% 164.85/165.10 [2203]~E(x22031,x22032)+E(f592(x22033,x22031,x22034),f592(x22033,x22032,x22034))
% 164.85/165.10 [2204]~E(x22041,x22042)+E(f592(x22043,x22044,x22041),f592(x22043,x22044,x22042))
% 164.85/165.10 [2205]~E(x22051,x22052)+E(f584(x22051,x22053,x22054,x22055),f584(x22052,x22053,x22054,x22055))
% 164.85/165.10 [2206]~E(x22061,x22062)+E(f584(x22063,x22061,x22064,x22065),f584(x22063,x22062,x22064,x22065))
% 164.85/165.10 [2207]~E(x22071,x22072)+E(f584(x22073,x22074,x22071,x22075),f584(x22073,x22074,x22072,x22075))
% 164.85/165.10 [2208]~E(x22081,x22082)+E(f584(x22083,x22084,x22085,x22081),f584(x22083,x22084,x22085,x22082))
% 164.85/165.10 [2209]~E(x22091,x22092)+E(f467(x22091,x22093,x22094),f467(x22092,x22093,x22094))
% 164.85/165.10 [2210]~E(x22101,x22102)+E(f467(x22103,x22101,x22104),f467(x22103,x22102,x22104))
% 164.85/165.10 [2211]~E(x22111,x22112)+E(f467(x22113,x22114,x22111),f467(x22113,x22114,x22112))
% 164.85/165.10 [2212]~E(x22121,x22122)+E(f824(x22121,x22123,x22124),f824(x22122,x22123,x22124))
% 164.85/165.10 [2213]~E(x22131,x22132)+E(f824(x22133,x22131,x22134),f824(x22133,x22132,x22134))
% 164.85/165.10 [2214]~E(x22141,x22142)+E(f824(x22143,x22144,x22141),f824(x22143,x22144,x22142))
% 164.85/165.10 [2215]~E(x22151,x22152)+E(f629(x22151,x22153,x22154),f629(x22152,x22153,x22154))
% 164.85/165.10 [2216]~E(x22161,x22162)+E(f629(x22163,x22161,x22164),f629(x22163,x22162,x22164))
% 164.85/165.10 [2217]~E(x22171,x22172)+E(f629(x22173,x22174,x22171),f629(x22173,x22174,x22172))
% 164.85/165.10 [2218]~E(x22181,x22182)+E(f379(x22181,x22183,x22184,x22185,x22186,x22187),f379(x22182,x22183,x22184,x22185,x22186,x22187))
% 164.85/165.10 [2219]~E(x22191,x22192)+E(f379(x22193,x22191,x22194,x22195,x22196,x22197),f379(x22193,x22192,x22194,x22195,x22196,x22197))
% 164.85/165.10 [2220]~E(x22201,x22202)+E(f379(x22203,x22204,x22201,x22205,x22206,x22207),f379(x22203,x22204,x22202,x22205,x22206,x22207))
% 164.85/165.10 [2221]~E(x22211,x22212)+E(f379(x22213,x22214,x22215,x22211,x22216,x22217),f379(x22213,x22214,x22215,x22212,x22216,x22217))
% 164.85/165.10 [2222]~E(x22221,x22222)+E(f379(x22223,x22224,x22225,x22226,x22221,x22227),f379(x22223,x22224,x22225,x22226,x22222,x22227))
% 164.85/165.10 [2223]~E(x22231,x22232)+E(f379(x22233,x22234,x22235,x22236,x22237,x22231),f379(x22233,x22234,x22235,x22236,x22237,x22232))
% 164.85/165.10 [2224]~E(x22241,x22242)+E(f632(x22241,x22243),f632(x22242,x22243))
% 164.85/165.10 [2225]~E(x22251,x22252)+E(f632(x22253,x22251),f632(x22253,x22252))
% 164.85/165.10 [2226]~E(x22261,x22262)+E(f444(x22261,x22263,x22264,x22265),f444(x22262,x22263,x22264,x22265))
% 164.85/165.10 [2227]~E(x22271,x22272)+E(f444(x22273,x22271,x22274,x22275),f444(x22273,x22272,x22274,x22275))
% 164.85/165.10 [2228]~E(x22281,x22282)+E(f444(x22283,x22284,x22281,x22285),f444(x22283,x22284,x22282,x22285))
% 164.85/165.10 [2229]~E(x22291,x22292)+E(f444(x22293,x22294,x22295,x22291),f444(x22293,x22294,x22295,x22292))
% 164.85/165.10 [2230]~E(x22301,x22302)+E(f677(x22301,x22303,x22304,x22305),f677(x22302,x22303,x22304,x22305))
% 164.85/165.10 [2231]~E(x22311,x22312)+E(f677(x22313,x22311,x22314,x22315),f677(x22313,x22312,x22314,x22315))
% 164.85/165.10 [2232]~E(x22321,x22322)+E(f677(x22323,x22324,x22321,x22325),f677(x22323,x22324,x22322,x22325))
% 164.85/165.10 [2233]~E(x22331,x22332)+E(f677(x22333,x22334,x22335,x22331),f677(x22333,x22334,x22335,x22332))
% 164.85/165.10 [2234]~E(x22341,x22342)+E(f882(x22341,x22343,x22344),f882(x22342,x22343,x22344))
% 164.85/165.10 [2235]~E(x22351,x22352)+E(f882(x22353,x22351,x22354),f882(x22353,x22352,x22354))
% 164.85/165.10 [2236]~E(x22361,x22362)+E(f882(x22363,x22364,x22361),f882(x22363,x22364,x22362))
% 164.85/165.10 [2237]~E(x22371,x22372)+E(f901(x22371,x22373),f901(x22372,x22373))
% 164.85/165.10 [2238]~E(x22381,x22382)+E(f901(x22383,x22381),f901(x22383,x22382))
% 164.85/165.10 [2239]~E(x22391,x22392)+E(f556(x22391,x22393,x22394),f556(x22392,x22393,x22394))
% 164.85/165.10 [2240]~E(x22401,x22402)+E(f556(x22403,x22401,x22404),f556(x22403,x22402,x22404))
% 164.85/165.10 [2241]~E(x22411,x22412)+E(f556(x22413,x22414,x22411),f556(x22413,x22414,x22412))
% 164.85/165.10 [2242]~E(x22421,x22422)+E(f705(x22421,x22423,x22424,x22425),f705(x22422,x22423,x22424,x22425))
% 164.85/165.10 [2243]~E(x22431,x22432)+E(f705(x22433,x22431,x22434,x22435),f705(x22433,x22432,x22434,x22435))
% 164.85/165.10 [2244]~E(x22441,x22442)+E(f705(x22443,x22444,x22441,x22445),f705(x22443,x22444,x22442,x22445))
% 164.85/165.10 [2245]~E(x22451,x22452)+E(f705(x22453,x22454,x22455,x22451),f705(x22453,x22454,x22455,x22452))
% 164.85/165.10 [2246]~E(x22461,x22462)+E(f564(x22461,x22463,x22464,x22465),f564(x22462,x22463,x22464,x22465))
% 164.85/165.10 [2247]~E(x22471,x22472)+E(f564(x22473,x22471,x22474,x22475),f564(x22473,x22472,x22474,x22475))
% 164.85/165.10 [2248]~E(x22481,x22482)+E(f564(x22483,x22484,x22481,x22485),f564(x22483,x22484,x22482,x22485))
% 164.85/165.10 [2249]~E(x22491,x22492)+E(f564(x22493,x22494,x22495,x22491),f564(x22493,x22494,x22495,x22492))
% 164.85/165.10 [2250]~E(x22501,x22502)+E(f445(x22501,x22503,x22504,x22505,x22506),f445(x22502,x22503,x22504,x22505,x22506))
% 164.85/165.10 [2251]~E(x22511,x22512)+E(f445(x22513,x22511,x22514,x22515,x22516),f445(x22513,x22512,x22514,x22515,x22516))
% 164.85/165.10 [2252]~E(x22521,x22522)+E(f445(x22523,x22524,x22521,x22525,x22526),f445(x22523,x22524,x22522,x22525,x22526))
% 164.85/165.10 [2253]~E(x22531,x22532)+E(f445(x22533,x22534,x22535,x22531,x22536),f445(x22533,x22534,x22535,x22532,x22536))
% 164.85/165.10 [2254]~E(x22541,x22542)+E(f445(x22543,x22544,x22545,x22546,x22541),f445(x22543,x22544,x22545,x22546,x22542))
% 164.85/165.10 [2255]~E(x22551,x22552)+E(f418(x22551,x22553,x22554),f418(x22552,x22553,x22554))
% 164.85/165.10 [2256]~E(x22561,x22562)+E(f418(x22563,x22561,x22564),f418(x22563,x22562,x22564))
% 164.85/165.10 [2257]~E(x22571,x22572)+E(f418(x22573,x22574,x22571),f418(x22573,x22574,x22572))
% 164.85/165.10 [2258]~E(x22581,x22582)+E(f238(x22581,x22583,x22584,x22585,x22586),f238(x22582,x22583,x22584,x22585,x22586))
% 164.85/165.10 [2259]~E(x22591,x22592)+E(f238(x22593,x22591,x22594,x22595,x22596),f238(x22593,x22592,x22594,x22595,x22596))
% 164.85/165.10 [2260]~E(x22601,x22602)+E(f238(x22603,x22604,x22601,x22605,x22606),f238(x22603,x22604,x22602,x22605,x22606))
% 164.85/165.10 [2261]~E(x22611,x22612)+E(f238(x22613,x22614,x22615,x22611,x22616),f238(x22613,x22614,x22615,x22612,x22616))
% 164.85/165.10 [2262]~E(x22621,x22622)+E(f238(x22623,x22624,x22625,x22626,x22621),f238(x22623,x22624,x22625,x22626,x22622))
% 164.85/165.10 [2263]~E(x22631,x22632)+E(f386(x22631,x22633,x22634),f386(x22632,x22633,x22634))
% 164.85/165.10 [2264]~E(x22641,x22642)+E(f386(x22643,x22641,x22644),f386(x22643,x22642,x22644))
% 164.85/165.10 [2265]~E(x22651,x22652)+E(f386(x22653,x22654,x22651),f386(x22653,x22654,x22652))
% 164.85/165.10 [2266]~E(x22661,x22662)+E(f348(x22661,x22663,x22664,x22665,x22666),f348(x22662,x22663,x22664,x22665,x22666))
% 164.85/165.10 [2267]~E(x22671,x22672)+E(f348(x22673,x22671,x22674,x22675,x22676),f348(x22673,x22672,x22674,x22675,x22676))
% 164.85/165.10 [2268]~E(x22681,x22682)+E(f348(x22683,x22684,x22681,x22685,x22686),f348(x22683,x22684,x22682,x22685,x22686))
% 164.85/165.10 [2269]~E(x22691,x22692)+E(f348(x22693,x22694,x22695,x22691,x22696),f348(x22693,x22694,x22695,x22692,x22696))
% 164.85/165.10 [2270]~E(x22701,x22702)+E(f348(x22703,x22704,x22705,x22706,x22701),f348(x22703,x22704,x22705,x22706,x22702))
% 164.85/165.10 [2271]~E(x22711,x22712)+E(f835(x22711,x22713,x22714,x22715),f835(x22712,x22713,x22714,x22715))
% 164.85/165.10 [2272]~E(x22721,x22722)+E(f835(x22723,x22721,x22724,x22725),f835(x22723,x22722,x22724,x22725))
% 164.85/165.10 [2273]~E(x22731,x22732)+E(f835(x22733,x22734,x22731,x22735),f835(x22733,x22734,x22732,x22735))
% 164.85/165.10 [2274]~E(x22741,x22742)+E(f835(x22743,x22744,x22745,x22741),f835(x22743,x22744,x22745,x22742))
% 164.85/165.10 [2275]~E(x22751,x22752)+E(f530(x22751,x22753,x22754),f530(x22752,x22753,x22754))
% 164.85/165.10 [2276]~E(x22761,x22762)+E(f530(x22763,x22761,x22764),f530(x22763,x22762,x22764))
% 164.85/165.10 [2277]~E(x22771,x22772)+E(f530(x22773,x22774,x22771),f530(x22773,x22774,x22772))
% 164.85/165.10 [2278]~E(x22781,x22782)+E(f758(x22781,x22783,x22784,x22785,x22786),f758(x22782,x22783,x22784,x22785,x22786))
% 164.85/165.10 [2279]~E(x22791,x22792)+E(f758(x22793,x22791,x22794,x22795,x22796),f758(x22793,x22792,x22794,x22795,x22796))
% 164.85/165.10 [2280]~E(x22801,x22802)+E(f758(x22803,x22804,x22801,x22805,x22806),f758(x22803,x22804,x22802,x22805,x22806))
% 164.85/165.10 [2281]~E(x22811,x22812)+E(f758(x22813,x22814,x22815,x22811,x22816),f758(x22813,x22814,x22815,x22812,x22816))
% 164.85/165.10 [2282]~E(x22821,x22822)+E(f758(x22823,x22824,x22825,x22826,x22821),f758(x22823,x22824,x22825,x22826,x22822))
% 164.85/165.10 [2283]~E(x22831,x22832)+E(f172(x22831,x22833),f172(x22832,x22833))
% 164.85/165.10 [2284]~E(x22841,x22842)+E(f172(x22843,x22841),f172(x22843,x22842))
% 164.85/165.10 [2285]~E(x22851,x22852)+E(f365(x22851,x22853,x22854),f365(x22852,x22853,x22854))
% 164.85/165.10 [2286]~E(x22861,x22862)+E(f365(x22863,x22861,x22864),f365(x22863,x22862,x22864))
% 164.85/165.10 [2287]~E(x22871,x22872)+E(f365(x22873,x22874,x22871),f365(x22873,x22874,x22872))
% 164.85/165.10 [2288]~E(x22881,x22882)+E(f657(x22881,x22883),f657(x22882,x22883))
% 164.85/165.10 [2289]~E(x22891,x22892)+E(f657(x22893,x22891),f657(x22893,x22892))
% 164.85/165.10 [2290]~E(x22901,x22902)+E(f388(x22901,x22903,x22904,x22905,x22906,x22907,x22908),f388(x22902,x22903,x22904,x22905,x22906,x22907,x22908))
% 164.85/165.10 [2291]~E(x22911,x22912)+E(f388(x22913,x22911,x22914,x22915,x22916,x22917,x22918),f388(x22913,x22912,x22914,x22915,x22916,x22917,x22918))
% 164.85/165.10 [2292]~E(x22921,x22922)+E(f388(x22923,x22924,x22921,x22925,x22926,x22927,x22928),f388(x22923,x22924,x22922,x22925,x22926,x22927,x22928))
% 164.85/165.10 [2293]~E(x22931,x22932)+E(f388(x22933,x22934,x22935,x22931,x22936,x22937,x22938),f388(x22933,x22934,x22935,x22932,x22936,x22937,x22938))
% 164.85/165.10 [2294]~E(x22941,x22942)+E(f388(x22943,x22944,x22945,x22946,x22941,x22947,x22948),f388(x22943,x22944,x22945,x22946,x22942,x22947,x22948))
% 164.85/165.10 [2295]~E(x22951,x22952)+E(f388(x22953,x22954,x22955,x22956,x22957,x22951,x22958),f388(x22953,x22954,x22955,x22956,x22957,x22952,x22958))
% 164.85/165.10 [2296]~E(x22961,x22962)+E(f388(x22963,x22964,x22965,x22966,x22967,x22968,x22961),f388(x22963,x22964,x22965,x22966,x22967,x22968,x22962))
% 164.85/165.10 [2297]~E(x22971,x22972)+E(f665(x22971,x22973,x22974,x22975,x22976),f665(x22972,x22973,x22974,x22975,x22976))
% 164.85/165.10 [2298]~E(x22981,x22982)+E(f665(x22983,x22981,x22984,x22985,x22986),f665(x22983,x22982,x22984,x22985,x22986))
% 164.85/165.10 [2299]~E(x22991,x22992)+E(f665(x22993,x22994,x22991,x22995,x22996),f665(x22993,x22994,x22992,x22995,x22996))
% 164.85/165.10 [2300]~E(x23001,x23002)+E(f665(x23003,x23004,x23005,x23001,x23006),f665(x23003,x23004,x23005,x23002,x23006))
% 164.85/165.10 [2301]~E(x23011,x23012)+E(f665(x23013,x23014,x23015,x23016,x23011),f665(x23013,x23014,x23015,x23016,x23012))
% 164.85/165.10 [2302]~E(x23021,x23022)+E(f239(x23021,x23023,x23024,x23025,x23026),f239(x23022,x23023,x23024,x23025,x23026))
% 164.85/165.10 [2303]~E(x23031,x23032)+E(f239(x23033,x23031,x23034,x23035,x23036),f239(x23033,x23032,x23034,x23035,x23036))
% 164.85/165.10 [2304]~E(x23041,x23042)+E(f239(x23043,x23044,x23041,x23045,x23046),f239(x23043,x23044,x23042,x23045,x23046))
% 164.85/165.10 [2305]~E(x23051,x23052)+E(f239(x23053,x23054,x23055,x23051,x23056),f239(x23053,x23054,x23055,x23052,x23056))
% 164.85/165.10 [2306]~E(x23061,x23062)+E(f239(x23063,x23064,x23065,x23066,x23061),f239(x23063,x23064,x23065,x23066,x23062))
% 164.85/165.10 [2307]~E(x23071,x23072)+E(f571(x23071,x23073,x23074,x23075),f571(x23072,x23073,x23074,x23075))
% 164.85/165.10 [2308]~E(x23081,x23082)+E(f571(x23083,x23081,x23084,x23085),f571(x23083,x23082,x23084,x23085))
% 164.85/165.10 [2309]~E(x23091,x23092)+E(f571(x23093,x23094,x23091,x23095),f571(x23093,x23094,x23092,x23095))
% 164.85/165.10 [2310]~E(x23101,x23102)+E(f571(x23103,x23104,x23105,x23101),f571(x23103,x23104,x23105,x23102))
% 164.85/165.10 [2311]~E(x23111,x23112)+E(f853(x23111,x23113,x23114,x23115),f853(x23112,x23113,x23114,x23115))
% 164.85/165.10 [2312]~E(x23121,x23122)+E(f853(x23123,x23121,x23124,x23125),f853(x23123,x23122,x23124,x23125))
% 164.85/165.10 [2313]~E(x23131,x23132)+E(f853(x23133,x23134,x23131,x23135),f853(x23133,x23134,x23132,x23135))
% 164.85/165.10 [2314]~E(x23141,x23142)+E(f853(x23143,x23144,x23145,x23141),f853(x23143,x23144,x23145,x23142))
% 164.85/165.10 [2315]~E(x23151,x23152)+E(f575(x23151,x23153,x23154,x23155),f575(x23152,x23153,x23154,x23155))
% 164.85/165.10 [2316]~E(x23161,x23162)+E(f575(x23163,x23161,x23164,x23165),f575(x23163,x23162,x23164,x23165))
% 164.85/165.10 [2317]~E(x23171,x23172)+E(f575(x23173,x23174,x23171,x23175),f575(x23173,x23174,x23172,x23175))
% 164.85/165.10 [2318]~E(x23181,x23182)+E(f575(x23183,x23184,x23185,x23181),f575(x23183,x23184,x23185,x23182))
% 164.85/165.10 [2319]~E(x23191,x23192)+E(f277(x23191),f277(x23192))
% 164.85/165.10 [2320]~E(x23201,x23202)+E(f156(x23201,x23203),f156(x23202,x23203))
% 164.85/165.10 [2321]~E(x23211,x23212)+E(f156(x23213,x23211),f156(x23213,x23212))
% 164.85/165.10 [2322]~E(x23221,x23222)+E(f243(x23221,x23223,x23224,x23225),f243(x23222,x23223,x23224,x23225))
% 164.85/165.10 [2323]~E(x23231,x23232)+E(f243(x23233,x23231,x23234,x23235),f243(x23233,x23232,x23234,x23235))
% 164.85/165.10 [2324]~E(x23241,x23242)+E(f243(x23243,x23244,x23241,x23245),f243(x23243,x23244,x23242,x23245))
% 164.85/165.10 [2325]~E(x23251,x23252)+E(f243(x23253,x23254,x23255,x23251),f243(x23253,x23254,x23255,x23252))
% 164.85/165.10 [2326]~E(x23261,x23262)+E(f422(x23261,x23263),f422(x23262,x23263))
% 164.85/165.10 [2327]~E(x23271,x23272)+E(f422(x23273,x23271),f422(x23273,x23272))
% 164.85/165.10 [2328]~E(x23281,x23282)+E(f534(x23281,x23283),f534(x23282,x23283))
% 164.85/165.10 [2329]~E(x23291,x23292)+E(f534(x23293,x23291),f534(x23293,x23292))
% 164.85/165.10 [2330]~E(x23301,x23302)+E(f483(x23301,x23303,x23304,x23305),f483(x23302,x23303,x23304,x23305))
% 164.85/165.10 [2331]~E(x23311,x23312)+E(f483(x23313,x23311,x23314,x23315),f483(x23313,x23312,x23314,x23315))
% 164.85/165.10 [2332]~E(x23321,x23322)+E(f483(x23323,x23324,x23321,x23325),f483(x23323,x23324,x23322,x23325))
% 164.85/165.10 [2333]~E(x23331,x23332)+E(f483(x23333,x23334,x23335,x23331),f483(x23333,x23334,x23335,x23332))
% 164.85/165.10 [2334]~E(x23341,x23342)+E(f870(x23341,x23343),f870(x23342,x23343))
% 164.85/165.10 [2335]~E(x23351,x23352)+E(f870(x23353,x23351),f870(x23353,x23352))
% 164.85/165.10 [2336]~E(x23361,x23362)+E(f669(x23361,x23363,x23364,x23365,x23366),f669(x23362,x23363,x23364,x23365,x23366))
% 164.85/165.10 [2337]~E(x23371,x23372)+E(f669(x23373,x23371,x23374,x23375,x23376),f669(x23373,x23372,x23374,x23375,x23376))
% 164.85/165.10 [2338]~E(x23381,x23382)+E(f669(x23383,x23384,x23381,x23385,x23386),f669(x23383,x23384,x23382,x23385,x23386))
% 164.85/165.10 [2339]~E(x23391,x23392)+E(f669(x23393,x23394,x23395,x23391,x23396),f669(x23393,x23394,x23395,x23392,x23396))
% 164.85/165.10 [2340]~E(x23401,x23402)+E(f669(x23403,x23404,x23405,x23406,x23401),f669(x23403,x23404,x23405,x23406,x23402))
% 164.85/165.10 [2341]~E(x23411,x23412)+E(f561(x23411,x23413,x23414),f561(x23412,x23413,x23414))
% 164.85/165.10 [2342]~E(x23421,x23422)+E(f561(x23423,x23421,x23424),f561(x23423,x23422,x23424))
% 164.85/165.10 [2343]~E(x23431,x23432)+E(f561(x23433,x23434,x23431),f561(x23433,x23434,x23432))
% 164.85/165.10 [2344]~E(x23441,x23442)+E(f649(x23441,x23443,x23444,x23445,x23446),f649(x23442,x23443,x23444,x23445,x23446))
% 164.85/165.10 [2345]~E(x23451,x23452)+E(f649(x23453,x23451,x23454,x23455,x23456),f649(x23453,x23452,x23454,x23455,x23456))
% 164.85/165.10 [2346]~E(x23461,x23462)+E(f649(x23463,x23464,x23461,x23465,x23466),f649(x23463,x23464,x23462,x23465,x23466))
% 164.85/165.10 [2347]~E(x23471,x23472)+E(f649(x23473,x23474,x23475,x23471,x23476),f649(x23473,x23474,x23475,x23472,x23476))
% 164.85/165.10 [2348]~E(x23481,x23482)+E(f649(x23483,x23484,x23485,x23486,x23481),f649(x23483,x23484,x23485,x23486,x23482))
% 164.85/165.10 [2349]~E(x23491,x23492)+E(f544(x23491,x23493,x23494),f544(x23492,x23493,x23494))
% 164.85/165.10 [2350]~E(x23501,x23502)+E(f544(x23503,x23501,x23504),f544(x23503,x23502,x23504))
% 164.85/165.10 [2351]~E(x23511,x23512)+E(f544(x23513,x23514,x23511),f544(x23513,x23514,x23512))
% 164.85/165.10 [2352]~E(x23521,x23522)+E(f419(x23521,x23523,x23524),f419(x23522,x23523,x23524))
% 164.85/165.10 [2353]~E(x23531,x23532)+E(f419(x23533,x23531,x23534),f419(x23533,x23532,x23534))
% 164.85/165.10 [2354]~E(x23541,x23542)+E(f419(x23543,x23544,x23541),f419(x23543,x23544,x23542))
% 164.85/165.10 [2355]~E(x23551,x23552)+E(f885(x23551,x23553,x23554,x23555),f885(x23552,x23553,x23554,x23555))
% 164.85/165.10 [2356]~E(x23561,x23562)+E(f885(x23563,x23561,x23564,x23565),f885(x23563,x23562,x23564,x23565))
% 164.85/165.10 [2357]~E(x23571,x23572)+E(f885(x23573,x23574,x23571,x23575),f885(x23573,x23574,x23572,x23575))
% 164.85/165.10 [2358]~E(x23581,x23582)+E(f885(x23583,x23584,x23585,x23581),f885(x23583,x23584,x23585,x23582))
% 164.85/165.10 [2359]~E(x23591,x23592)+E(f222(x23591),f222(x23592))
% 164.85/165.10 [2360]~E(x23601,x23602)+E(f338(x23601,x23603,x23604,x23605),f338(x23602,x23603,x23604,x23605))
% 164.85/165.10 [2361]~E(x23611,x23612)+E(f338(x23613,x23611,x23614,x23615),f338(x23613,x23612,x23614,x23615))
% 164.85/165.10 [2362]~E(x23621,x23622)+E(f338(x23623,x23624,x23621,x23625),f338(x23623,x23624,x23622,x23625))
% 164.85/165.10 [2363]~E(x23631,x23632)+E(f338(x23633,x23634,x23635,x23631),f338(x23633,x23634,x23635,x23632))
% 164.85/165.10 [2364]~E(x23641,x23642)+E(f904(x23641,x23643,x23644,x23645,x23646,x23647),f904(x23642,x23643,x23644,x23645,x23646,x23647))
% 164.85/165.10 [2365]~E(x23651,x23652)+E(f904(x23653,x23651,x23654,x23655,x23656,x23657),f904(x23653,x23652,x23654,x23655,x23656,x23657))
% 164.85/165.10 [2366]~E(x23661,x23662)+E(f904(x23663,x23664,x23661,x23665,x23666,x23667),f904(x23663,x23664,x23662,x23665,x23666,x23667))
% 164.85/165.10 [2367]~E(x23671,x23672)+E(f904(x23673,x23674,x23675,x23671,x23676,x23677),f904(x23673,x23674,x23675,x23672,x23676,x23677))
% 164.85/165.10 [2368]~E(x23681,x23682)+E(f904(x23683,x23684,x23685,x23686,x23681,x23687),f904(x23683,x23684,x23685,x23686,x23682,x23687))
% 164.85/165.10 [2369]~E(x23691,x23692)+E(f904(x23693,x23694,x23695,x23696,x23697,x23691),f904(x23693,x23694,x23695,x23696,x23697,x23692))
% 164.85/165.10 [2370]~E(x23701,x23702)+E(f284(x23701,x23703,x23704,x23705),f284(x23702,x23703,x23704,x23705))
% 164.85/165.10 [2371]~E(x23711,x23712)+E(f284(x23713,x23711,x23714,x23715),f284(x23713,x23712,x23714,x23715))
% 164.85/165.10 [2372]~E(x23721,x23722)+E(f284(x23723,x23724,x23721,x23725),f284(x23723,x23724,x23722,x23725))
% 164.85/165.10 [2373]~E(x23731,x23732)+E(f284(x23733,x23734,x23735,x23731),f284(x23733,x23734,x23735,x23732))
% 164.85/165.10 [2374]~E(x23741,x23742)+E(f737(x23741,x23743,x23744,x23745),f737(x23742,x23743,x23744,x23745))
% 164.85/165.10 [2375]~E(x23751,x23752)+E(f737(x23753,x23751,x23754,x23755),f737(x23753,x23752,x23754,x23755))
% 164.85/165.10 [2376]~E(x23761,x23762)+E(f737(x23763,x23764,x23761,x23765),f737(x23763,x23764,x23762,x23765))
% 164.85/165.10 [2377]~E(x23771,x23772)+E(f737(x23773,x23774,x23775,x23771),f737(x23773,x23774,x23775,x23772))
% 164.85/165.10 [2378]~E(x23781,x23782)+E(f502(x23781,x23783),f502(x23782,x23783))
% 164.85/165.10 [2379]~E(x23791,x23792)+E(f502(x23793,x23791),f502(x23793,x23792))
% 164.85/165.10 [2380]~E(x23801,x23802)+E(f136(x23801),f136(x23802))
% 164.85/165.10 [2381]~E(x23811,x23812)+E(f886(x23811,x23813,x23814,x23815),f886(x23812,x23813,x23814,x23815))
% 164.85/165.10 [2382]~E(x23821,x23822)+E(f886(x23823,x23821,x23824,x23825),f886(x23823,x23822,x23824,x23825))
% 164.85/165.10 [2383]~E(x23831,x23832)+E(f886(x23833,x23834,x23831,x23835),f886(x23833,x23834,x23832,x23835))
% 164.85/165.10 [2384]~E(x23841,x23842)+E(f886(x23843,x23844,x23845,x23841),f886(x23843,x23844,x23845,x23842))
% 164.85/165.10 [2385]~E(x23851,x23852)+E(f676(x23851,x23853,x23854),f676(x23852,x23853,x23854))
% 164.85/165.10 [2386]~E(x23861,x23862)+E(f676(x23863,x23861,x23864),f676(x23863,x23862,x23864))
% 164.85/165.10 [2387]~E(x23871,x23872)+E(f676(x23873,x23874,x23871),f676(x23873,x23874,x23872))
% 164.85/165.10 [2388]~E(x23881,x23882)+E(f585(x23881,x23883,x23884,x23885),f585(x23882,x23883,x23884,x23885))
% 164.85/165.10 [2389]~E(x23891,x23892)+E(f585(x23893,x23891,x23894,x23895),f585(x23893,x23892,x23894,x23895))
% 164.85/165.10 [2390]~E(x23901,x23902)+E(f585(x23903,x23904,x23901,x23905),f585(x23903,x23904,x23902,x23905))
% 164.85/165.10 [2391]~E(x23911,x23912)+E(f585(x23913,x23914,x23915,x23911),f585(x23913,x23914,x23915,x23912))
% 164.85/165.10 [2392]~E(x23921,x23922)+E(f658(x23921,x23923,x23924,x23925,x23926),f658(x23922,x23923,x23924,x23925,x23926))
% 164.85/165.10 [2393]~E(x23931,x23932)+E(f658(x23933,x23931,x23934,x23935,x23936),f658(x23933,x23932,x23934,x23935,x23936))
% 164.85/165.10 [2394]~E(x23941,x23942)+E(f658(x23943,x23944,x23941,x23945,x23946),f658(x23943,x23944,x23942,x23945,x23946))
% 164.85/165.10 [2395]~E(x23951,x23952)+E(f658(x23953,x23954,x23955,x23951,x23956),f658(x23953,x23954,x23955,x23952,x23956))
% 164.85/165.10 [2396]~E(x23961,x23962)+E(f658(x23963,x23964,x23965,x23966,x23961),f658(x23963,x23964,x23965,x23966,x23962))
% 164.85/165.10 [2397]~E(x23971,x23972)+E(f599(x23971,x23973,x23974,x23975,x23976),f599(x23972,x23973,x23974,x23975,x23976))
% 164.85/165.10 [2398]~E(x23981,x23982)+E(f599(x23983,x23981,x23984,x23985,x23986),f599(x23983,x23982,x23984,x23985,x23986))
% 164.85/165.10 [2399]~E(x23991,x23992)+E(f599(x23993,x23994,x23991,x23995,x23996),f599(x23993,x23994,x23992,x23995,x23996))
% 164.85/165.10 [2400]~E(x24001,x24002)+E(f599(x24003,x24004,x24005,x24001,x24006),f599(x24003,x24004,x24005,x24002,x24006))
% 164.85/165.10 [2401]~E(x24011,x24012)+E(f599(x24013,x24014,x24015,x24016,x24011),f599(x24013,x24014,x24015,x24016,x24012))
% 164.85/165.10 [2402]~E(x24021,x24022)+E(f672(x24021,x24023,x24024,x24025,x24026),f672(x24022,x24023,x24024,x24025,x24026))
% 164.85/165.10 [2403]~E(x24031,x24032)+E(f672(x24033,x24031,x24034,x24035,x24036),f672(x24033,x24032,x24034,x24035,x24036))
% 164.85/165.10 [2404]~E(x24041,x24042)+E(f672(x24043,x24044,x24041,x24045,x24046),f672(x24043,x24044,x24042,x24045,x24046))
% 164.85/165.10 [2405]~E(x24051,x24052)+E(f672(x24053,x24054,x24055,x24051,x24056),f672(x24053,x24054,x24055,x24052,x24056))
% 164.85/165.10 [2406]~E(x24061,x24062)+E(f672(x24063,x24064,x24065,x24066,x24061),f672(x24063,x24064,x24065,x24066,x24062))
% 164.85/165.10 [2407]~E(x24071,x24072)+E(f485(x24071),f485(x24072))
% 164.85/165.10 [2408]~E(x24081,x24082)+E(f582(x24081,x24083),f582(x24082,x24083))
% 164.85/165.10 [2409]~E(x24091,x24092)+E(f582(x24093,x24091),f582(x24093,x24092))
% 164.85/165.10 [2410]~E(x24101,x24102)+E(f377(x24101,x24103,x24104,x24105),f377(x24102,x24103,x24104,x24105))
% 164.85/165.10 [2411]~E(x24111,x24112)+E(f377(x24113,x24111,x24114,x24115),f377(x24113,x24112,x24114,x24115))
% 164.85/165.10 [2412]~E(x24121,x24122)+E(f377(x24123,x24124,x24121,x24125),f377(x24123,x24124,x24122,x24125))
% 164.85/165.10 [2413]~E(x24131,x24132)+E(f377(x24133,x24134,x24135,x24131),f377(x24133,x24134,x24135,x24132))
% 164.85/165.10 [2414]~E(x24141,x24142)+E(f808(x24141,x24143,x24144,x24145,x24146,x24147,x24148),f808(x24142,x24143,x24144,x24145,x24146,x24147,x24148))
% 164.85/165.10 [2415]~E(x24151,x24152)+E(f808(x24153,x24151,x24154,x24155,x24156,x24157,x24158),f808(x24153,x24152,x24154,x24155,x24156,x24157,x24158))
% 164.85/165.10 [2416]~E(x24161,x24162)+E(f808(x24163,x24164,x24161,x24165,x24166,x24167,x24168),f808(x24163,x24164,x24162,x24165,x24166,x24167,x24168))
% 164.85/165.10 [2417]~E(x24171,x24172)+E(f808(x24173,x24174,x24175,x24171,x24176,x24177,x24178),f808(x24173,x24174,x24175,x24172,x24176,x24177,x24178))
% 164.85/165.10 [2418]~E(x24181,x24182)+E(f808(x24183,x24184,x24185,x24186,x24181,x24187,x24188),f808(x24183,x24184,x24185,x24186,x24182,x24187,x24188))
% 164.85/165.10 [2419]~E(x24191,x24192)+E(f808(x24193,x24194,x24195,x24196,x24197,x24191,x24198),f808(x24193,x24194,x24195,x24196,x24197,x24192,x24198))
% 164.85/165.10 [2420]~E(x24201,x24202)+E(f808(x24203,x24204,x24205,x24206,x24207,x24208,x24201),f808(x24203,x24204,x24205,x24206,x24207,x24208,x24202))
% 164.85/165.10 [2421]~E(x24211,x24212)+E(f214(x24211),f214(x24212))
% 164.85/165.10 [2422]~E(x24221,x24222)+E(f382(x24221,x24223,x24224,x24225,x24226,x24227),f382(x24222,x24223,x24224,x24225,x24226,x24227))
% 164.85/165.10 [2423]~E(x24231,x24232)+E(f382(x24233,x24231,x24234,x24235,x24236,x24237),f382(x24233,x24232,x24234,x24235,x24236,x24237))
% 164.85/165.10 [2424]~E(x24241,x24242)+E(f382(x24243,x24244,x24241,x24245,x24246,x24247),f382(x24243,x24244,x24242,x24245,x24246,x24247))
% 164.85/165.10 [2425]~E(x24251,x24252)+E(f382(x24253,x24254,x24255,x24251,x24256,x24257),f382(x24253,x24254,x24255,x24252,x24256,x24257))
% 164.85/165.10 [2426]~E(x24261,x24262)+E(f382(x24263,x24264,x24265,x24266,x24261,x24267),f382(x24263,x24264,x24265,x24266,x24262,x24267))
% 164.85/165.10 [2427]~E(x24271,x24272)+E(f382(x24273,x24274,x24275,x24276,x24277,x24271),f382(x24273,x24274,x24275,x24276,x24277,x24272))
% 164.85/165.10 [2428]~E(x24281,x24282)+E(f351(x24281,x24283,x24284,x24285),f351(x24282,x24283,x24284,x24285))
% 164.85/165.10 [2429]~E(x24291,x24292)+E(f351(x24293,x24291,x24294,x24295),f351(x24293,x24292,x24294,x24295))
% 164.85/165.10 [2430]~E(x24301,x24302)+E(f351(x24303,x24304,x24301,x24305),f351(x24303,x24304,x24302,x24305))
% 164.85/165.10 [2431]~E(x24311,x24312)+E(f351(x24313,x24314,x24315,x24311),f351(x24313,x24314,x24315,x24312))
% 164.85/165.10 [2432]~E(x24321,x24322)+E(f776(x24321,x24323),f776(x24322,x24323))
% 164.85/165.10 [2433]~E(x24331,x24332)+E(f776(x24333,x24331),f776(x24333,x24332))
% 164.85/165.10 [2434]~E(x24341,x24342)+E(f224(x24341,x24343,x24344,x24345),f224(x24342,x24343,x24344,x24345))
% 164.85/165.10 [2435]~E(x24351,x24352)+E(f224(x24353,x24351,x24354,x24355),f224(x24353,x24352,x24354,x24355))
% 164.85/165.10 [2436]~E(x24361,x24362)+E(f224(x24363,x24364,x24361,x24365),f224(x24363,x24364,x24362,x24365))
% 164.85/165.10 [2437]~E(x24371,x24372)+E(f224(x24373,x24374,x24375,x24371),f224(x24373,x24374,x24375,x24372))
% 164.85/165.10 [2438]~E(x24381,x24382)+E(f774(x24381,x24383,x24384),f774(x24382,x24383,x24384))
% 164.85/165.10 [2439]~E(x24391,x24392)+E(f774(x24393,x24391,x24394),f774(x24393,x24392,x24394))
% 164.85/165.10 [2440]~E(x24401,x24402)+E(f774(x24403,x24404,x24401),f774(x24403,x24404,x24402))
% 164.85/165.10 [2441]~E(x24411,x24412)+E(f822(x24411,x24413,x24414),f822(x24412,x24413,x24414))
% 164.85/165.10 [2442]~E(x24421,x24422)+E(f822(x24423,x24421,x24424),f822(x24423,x24422,x24424))
% 164.85/165.10 [2443]~E(x24431,x24432)+E(f822(x24433,x24434,x24431),f822(x24433,x24434,x24432))
% 164.85/165.10 [2444]~E(x24441,x24442)+E(f275(x24441,x24443,x24444),f275(x24442,x24443,x24444))
% 164.85/165.10 [2445]~E(x24451,x24452)+E(f275(x24453,x24451,x24454),f275(x24453,x24452,x24454))
% 164.85/165.10 [2446]~E(x24461,x24462)+E(f275(x24463,x24464,x24461),f275(x24463,x24464,x24462))
% 164.85/165.10 [2447]~E(x24471,x24472)+E(f768(x24471,x24473),f768(x24472,x24473))
% 164.85/165.10 [2448]~E(x24481,x24482)+E(f768(x24483,x24481),f768(x24483,x24482))
% 164.85/165.10 [2449]~E(x24491,x24492)+E(f854(x24491,x24493,x24494),f854(x24492,x24493,x24494))
% 164.85/165.10 [2450]~E(x24501,x24502)+E(f854(x24503,x24501,x24504),f854(x24503,x24502,x24504))
% 164.85/165.10 [2451]~E(x24511,x24512)+E(f854(x24513,x24514,x24511),f854(x24513,x24514,x24512))
% 164.85/165.10 [2452]~E(x24521,x24522)+E(f428(x24521,x24523,x24524),f428(x24522,x24523,x24524))
% 164.85/165.10 [2453]~E(x24531,x24532)+E(f428(x24533,x24531,x24534),f428(x24533,x24532,x24534))
% 164.85/165.10 [2454]~E(x24541,x24542)+E(f428(x24543,x24544,x24541),f428(x24543,x24544,x24542))
% 164.85/165.10 [2455]~E(x24551,x24552)+E(f486(x24551),f486(x24552))
% 164.85/165.10 [2456]~E(x24561,x24562)+E(f51(x24561),f51(x24562))
% 164.85/165.10 [2457]~E(x24571,x24572)+E(f635(x24571,x24573,x24574,x24575,x24576,x24577),f635(x24572,x24573,x24574,x24575,x24576,x24577))
% 164.85/165.10 [2458]~E(x24581,x24582)+E(f635(x24583,x24581,x24584,x24585,x24586,x24587),f635(x24583,x24582,x24584,x24585,x24586,x24587))
% 164.85/165.10 [2459]~E(x24591,x24592)+E(f635(x24593,x24594,x24591,x24595,x24596,x24597),f635(x24593,x24594,x24592,x24595,x24596,x24597))
% 164.85/165.10 [2460]~E(x24601,x24602)+E(f635(x24603,x24604,x24605,x24601,x24606,x24607),f635(x24603,x24604,x24605,x24602,x24606,x24607))
% 164.85/165.10 [2461]~E(x24611,x24612)+E(f635(x24613,x24614,x24615,x24616,x24611,x24617),f635(x24613,x24614,x24615,x24616,x24612,x24617))
% 164.85/165.10 [2462]~E(x24621,x24622)+E(f635(x24623,x24624,x24625,x24626,x24627,x24621),f635(x24623,x24624,x24625,x24626,x24627,x24622))
% 164.85/165.10 [2463]~E(x24631,x24632)+E(f565(x24631,x24633,x24634,x24635,x24636),f565(x24632,x24633,x24634,x24635,x24636))
% 164.85/165.10 [2464]~E(x24641,x24642)+E(f565(x24643,x24641,x24644,x24645,x24646),f565(x24643,x24642,x24644,x24645,x24646))
% 164.85/165.10 [2465]~E(x24651,x24652)+E(f565(x24653,x24654,x24651,x24655,x24656),f565(x24653,x24654,x24652,x24655,x24656))
% 164.85/165.10 [2466]~E(x24661,x24662)+E(f565(x24663,x24664,x24665,x24661,x24666),f565(x24663,x24664,x24665,x24662,x24666))
% 164.85/165.10 [2467]~E(x24671,x24672)+E(f565(x24673,x24674,x24675,x24676,x24671),f565(x24673,x24674,x24675,x24676,x24672))
% 164.85/165.10 [2468]~E(x24681,x24682)+E(f691(x24681,x24683,x24684,x24685,x24686,x24687,x24688),f691(x24682,x24683,x24684,x24685,x24686,x24687,x24688))
% 164.85/165.10 [2469]~E(x24691,x24692)+E(f691(x24693,x24691,x24694,x24695,x24696,x24697,x24698),f691(x24693,x24692,x24694,x24695,x24696,x24697,x24698))
% 164.85/165.10 [2470]~E(x24701,x24702)+E(f691(x24703,x24704,x24701,x24705,x24706,x24707,x24708),f691(x24703,x24704,x24702,x24705,x24706,x24707,x24708))
% 164.85/165.10 [2471]~E(x24711,x24712)+E(f691(x24713,x24714,x24715,x24711,x24716,x24717,x24718),f691(x24713,x24714,x24715,x24712,x24716,x24717,x24718))
% 164.85/165.10 [2472]~E(x24721,x24722)+E(f691(x24723,x24724,x24725,x24726,x24721,x24727,x24728),f691(x24723,x24724,x24725,x24726,x24722,x24727,x24728))
% 164.85/165.10 [2473]~E(x24731,x24732)+E(f691(x24733,x24734,x24735,x24736,x24737,x24731,x24738),f691(x24733,x24734,x24735,x24736,x24737,x24732,x24738))
% 164.85/165.10 [2474]~E(x24741,x24742)+E(f691(x24743,x24744,x24745,x24746,x24747,x24748,x24741),f691(x24743,x24744,x24745,x24746,x24747,x24748,x24742))
% 164.85/165.10 [2475]~E(x24751,x24752)+E(f347(x24751,x24753,x24754,x24755,x24756),f347(x24752,x24753,x24754,x24755,x24756))
% 164.85/165.10 [2476]~E(x24761,x24762)+E(f347(x24763,x24761,x24764,x24765,x24766),f347(x24763,x24762,x24764,x24765,x24766))
% 164.85/165.10 [2477]~E(x24771,x24772)+E(f347(x24773,x24774,x24771,x24775,x24776),f347(x24773,x24774,x24772,x24775,x24776))
% 164.85/165.10 [2478]~E(x24781,x24782)+E(f347(x24783,x24784,x24785,x24781,x24786),f347(x24783,x24784,x24785,x24782,x24786))
% 164.85/165.10 [2479]~E(x24791,x24792)+E(f347(x24793,x24794,x24795,x24796,x24791),f347(x24793,x24794,x24795,x24796,x24792))
% 164.85/165.10 [2480]~E(x24801,x24802)+E(f251(x24801,x24803),f251(x24802,x24803))
% 164.85/165.10 [2481]~E(x24811,x24812)+E(f251(x24813,x24811),f251(x24813,x24812))
% 164.85/165.10 [2482]~E(x24821,x24822)+E(f692(x24821,x24823,x24824,x24825,x24826,x24827,x24828,x24829),f692(x24822,x24823,x24824,x24825,x24826,x24827,x24828,x24829))
% 164.85/165.10 [2483]~E(x24831,x24832)+E(f692(x24833,x24831,x24834,x24835,x24836,x24837,x24838,x24839),f692(x24833,x24832,x24834,x24835,x24836,x24837,x24838,x24839))
% 164.85/165.10 [2484]~E(x24841,x24842)+E(f692(x24843,x24844,x24841,x24845,x24846,x24847,x24848,x24849),f692(x24843,x24844,x24842,x24845,x24846,x24847,x24848,x24849))
% 164.85/165.10 [2485]~E(x24851,x24852)+E(f692(x24853,x24854,x24855,x24851,x24856,x24857,x24858,x24859),f692(x24853,x24854,x24855,x24852,x24856,x24857,x24858,x24859))
% 164.85/165.10 [2486]~E(x24861,x24862)+E(f692(x24863,x24864,x24865,x24866,x24861,x24867,x24868,x24869),f692(x24863,x24864,x24865,x24866,x24862,x24867,x24868,x24869))
% 164.85/165.10 [2487]~E(x24871,x24872)+E(f692(x24873,x24874,x24875,x24876,x24877,x24871,x24878,x24879),f692(x24873,x24874,x24875,x24876,x24877,x24872,x24878,x24879))
% 164.85/165.10 [2488]~E(x24881,x24882)+E(f692(x24883,x24884,x24885,x24886,x24887,x24888,x24881,x24889),f692(x24883,x24884,x24885,x24886,x24887,x24888,x24882,x24889))
% 164.85/165.10 [2489]~E(x24891,x24892)+E(f692(x24893,x24894,x24895,x24896,x24897,x24898,x24899,x24891),f692(x24893,x24894,x24895,x24896,x24897,x24898,x24899,x24892))
% 164.85/165.10 [2490]~E(x24901,x24902)+E(f82(x24901,x24903),f82(x24902,x24903))
% 164.85/165.10 [2491]~E(x24911,x24912)+E(f82(x24913,x24911),f82(x24913,x24912))
% 164.85/165.10 [2492]~E(x24921,x24922)+E(f730(x24921,x24923,x24924,x24925),f730(x24922,x24923,x24924,x24925))
% 164.85/165.10 [2493]~E(x24931,x24932)+E(f730(x24933,x24931,x24934,x24935),f730(x24933,x24932,x24934,x24935))
% 164.85/165.10 [2494]~E(x24941,x24942)+E(f730(x24943,x24944,x24941,x24945),f730(x24943,x24944,x24942,x24945))
% 164.85/165.10 [2495]~E(x24951,x24952)+E(f730(x24953,x24954,x24955,x24951),f730(x24953,x24954,x24955,x24952))
% 164.85/165.10 [2496]~E(x24961,x24962)+E(f716(x24961,x24963,x24964),f716(x24962,x24963,x24964))
% 164.85/165.10 [2497]~E(x24971,x24972)+E(f716(x24973,x24971,x24974),f716(x24973,x24972,x24974))
% 164.85/165.10 [2498]~E(x24981,x24982)+E(f716(x24983,x24984,x24981),f716(x24983,x24984,x24982))
% 164.85/165.10 [2499]~E(x24991,x24992)+E(f707(x24991,x24993,x24994,x24995,x24996,x24997),f707(x24992,x24993,x24994,x24995,x24996,x24997))
% 164.85/165.10 [2500]~E(x25001,x25002)+E(f707(x25003,x25001,x25004,x25005,x25006,x25007),f707(x25003,x25002,x25004,x25005,x25006,x25007))
% 164.85/165.10 [2501]~E(x25011,x25012)+E(f707(x25013,x25014,x25011,x25015,x25016,x25017),f707(x25013,x25014,x25012,x25015,x25016,x25017))
% 164.85/165.10 [2502]~E(x25021,x25022)+E(f707(x25023,x25024,x25025,x25021,x25026,x25027),f707(x25023,x25024,x25025,x25022,x25026,x25027))
% 164.85/165.10 [2503]~E(x25031,x25032)+E(f707(x25033,x25034,x25035,x25036,x25031,x25037),f707(x25033,x25034,x25035,x25036,x25032,x25037))
% 164.85/165.10 [2504]~E(x25041,x25042)+E(f707(x25043,x25044,x25045,x25046,x25047,x25041),f707(x25043,x25044,x25045,x25046,x25047,x25042))
% 164.85/165.10 [2505]~E(x25051,x25052)+E(f352(x25051,x25053,x25054,x25055),f352(x25052,x25053,x25054,x25055))
% 164.85/165.10 [2506]~E(x25061,x25062)+E(f352(x25063,x25061,x25064,x25065),f352(x25063,x25062,x25064,x25065))
% 164.85/165.10 [2507]~E(x25071,x25072)+E(f352(x25073,x25074,x25071,x25075),f352(x25073,x25074,x25072,x25075))
% 164.85/165.10 [2508]~E(x25081,x25082)+E(f352(x25083,x25084,x25085,x25081),f352(x25083,x25084,x25085,x25082))
% 164.85/165.10 [2509]~E(x25091,x25092)+E(f587(x25091,x25093,x25094,x25095),f587(x25092,x25093,x25094,x25095))
% 164.85/165.10 [2510]~E(x25101,x25102)+E(f587(x25103,x25101,x25104,x25105),f587(x25103,x25102,x25104,x25105))
% 164.85/165.10 [2511]~E(x25111,x25112)+E(f587(x25113,x25114,x25111,x25115),f587(x25113,x25114,x25112,x25115))
% 164.85/165.10 [2512]~E(x25121,x25122)+E(f587(x25123,x25124,x25125,x25121),f587(x25123,x25124,x25125,x25122))
% 164.85/165.10 [2513]~E(x25131,x25132)+E(f837(x25131,x25133,x25134),f837(x25132,x25133,x25134))
% 164.85/165.10 [2514]~E(x25141,x25142)+E(f837(x25143,x25141,x25144),f837(x25143,x25142,x25144))
% 164.85/165.10 [2515]~E(x25151,x25152)+E(f837(x25153,x25154,x25151),f837(x25153,x25154,x25152))
% 164.85/165.10 [2516]~E(x25161,x25162)+E(f626(x25161),f626(x25162))
% 164.85/165.10 [2517]~E(x25171,x25172)+E(f679(x25171,x25173,x25174,x25175),f679(x25172,x25173,x25174,x25175))
% 164.85/165.10 [2518]~E(x25181,x25182)+E(f679(x25183,x25181,x25184,x25185),f679(x25183,x25182,x25184,x25185))
% 164.85/165.10 [2519]~E(x25191,x25192)+E(f679(x25193,x25194,x25191,x25195),f679(x25193,x25194,x25192,x25195))
% 164.85/165.10 [2520]~E(x25201,x25202)+E(f679(x25203,x25204,x25205,x25201),f679(x25203,x25204,x25205,x25202))
% 164.85/165.10 [2521]~E(x25211,x25212)+E(f675(x25211,x25213,x25214,x25215,x25216),f675(x25212,x25213,x25214,x25215,x25216))
% 164.85/165.10 [2522]~E(x25221,x25222)+E(f675(x25223,x25221,x25224,x25225,x25226),f675(x25223,x25222,x25224,x25225,x25226))
% 164.85/165.10 [2523]~E(x25231,x25232)+E(f675(x25233,x25234,x25231,x25235,x25236),f675(x25233,x25234,x25232,x25235,x25236))
% 164.85/165.10 [2524]~E(x25241,x25242)+E(f675(x25243,x25244,x25245,x25241,x25246),f675(x25243,x25244,x25245,x25242,x25246))
% 164.85/165.10 [2525]~E(x25251,x25252)+E(f675(x25253,x25254,x25255,x25256,x25251),f675(x25253,x25254,x25255,x25256,x25252))
% 164.85/165.10 [2526]~E(x25261,x25262)+E(f586(x25261,x25263,x25264,x25265),f586(x25262,x25263,x25264,x25265))
% 164.85/165.10 [2527]~E(x25271,x25272)+E(f586(x25273,x25271,x25274,x25275),f586(x25273,x25272,x25274,x25275))
% 164.85/165.10 [2528]~E(x25281,x25282)+E(f586(x25283,x25284,x25281,x25285),f586(x25283,x25284,x25282,x25285))
% 164.85/165.10 [2529]~E(x25291,x25292)+E(f586(x25293,x25294,x25295,x25291),f586(x25293,x25294,x25295,x25292))
% 164.85/165.10 [2530]~E(x25301,x25302)+E(f788(x25301,x25303,x25304,x25305),f788(x25302,x25303,x25304,x25305))
% 164.85/165.10 [2531]~E(x25311,x25312)+E(f788(x25313,x25311,x25314,x25315),f788(x25313,x25312,x25314,x25315))
% 164.85/165.10 [2532]~E(x25321,x25322)+E(f788(x25323,x25324,x25321,x25325),f788(x25323,x25324,x25322,x25325))
% 164.85/165.10 [2533]~E(x25331,x25332)+E(f788(x25333,x25334,x25335,x25331),f788(x25333,x25334,x25335,x25332))
% 164.85/165.10 [2534]~E(x25341,x25342)+E(f344(x25341,x25343,x25344,x25345,x25346),f344(x25342,x25343,x25344,x25345,x25346))
% 164.85/165.10 [2535]~E(x25351,x25352)+E(f344(x25353,x25351,x25354,x25355,x25356),f344(x25353,x25352,x25354,x25355,x25356))
% 164.85/165.10 [2536]~E(x25361,x25362)+E(f344(x25363,x25364,x25361,x25365,x25366),f344(x25363,x25364,x25362,x25365,x25366))
% 164.85/165.10 [2537]~E(x25371,x25372)+E(f344(x25373,x25374,x25375,x25371,x25376),f344(x25373,x25374,x25375,x25372,x25376))
% 164.85/165.10 [2538]~E(x25381,x25382)+E(f344(x25383,x25384,x25385,x25386,x25381),f344(x25383,x25384,x25385,x25386,x25382))
% 164.85/165.10 [2539]~E(x25391,x25392)+E(f306(x25391,x25393,x25394,x25395),f306(x25392,x25393,x25394,x25395))
% 164.85/165.10 [2540]~E(x25401,x25402)+E(f306(x25403,x25401,x25404,x25405),f306(x25403,x25402,x25404,x25405))
% 164.85/165.10 [2541]~E(x25411,x25412)+E(f306(x25413,x25414,x25411,x25415),f306(x25413,x25414,x25412,x25415))
% 164.85/165.10 [2542]~E(x25421,x25422)+E(f306(x25423,x25424,x25425,x25421),f306(x25423,x25424,x25425,x25422))
% 164.85/165.10 [2543]~E(x25431,x25432)+E(f301(x25431,x25433,x25434),f301(x25432,x25433,x25434))
% 164.85/165.10 [2544]~E(x25441,x25442)+E(f301(x25443,x25441,x25444),f301(x25443,x25442,x25444))
% 164.85/165.10 [2545]~E(x25451,x25452)+E(f301(x25453,x25454,x25451),f301(x25453,x25454,x25452))
% 164.85/165.10 [2546]~E(x25461,x25462)+E(f727(x25461,x25463,x25464,x25465),f727(x25462,x25463,x25464,x25465))
% 164.85/165.10 [2547]~E(x25471,x25472)+E(f727(x25473,x25471,x25474,x25475),f727(x25473,x25472,x25474,x25475))
% 164.85/165.10 [2548]~E(x25481,x25482)+E(f727(x25483,x25484,x25481,x25485),f727(x25483,x25484,x25482,x25485))
% 164.85/165.10 [2549]~E(x25491,x25492)+E(f727(x25493,x25494,x25495,x25491),f727(x25493,x25494,x25495,x25492))
% 164.85/165.10 [2550]~E(x25501,x25502)+E(f880(x25501,x25503,x25504,x25505,x25506,x25507),f880(x25502,x25503,x25504,x25505,x25506,x25507))
% 164.85/165.10 [2551]~E(x25511,x25512)+E(f880(x25513,x25511,x25514,x25515,x25516,x25517),f880(x25513,x25512,x25514,x25515,x25516,x25517))
% 164.85/165.10 [2552]~E(x25521,x25522)+E(f880(x25523,x25524,x25521,x25525,x25526,x25527),f880(x25523,x25524,x25522,x25525,x25526,x25527))
% 164.85/165.10 [2553]~E(x25531,x25532)+E(f880(x25533,x25534,x25535,x25531,x25536,x25537),f880(x25533,x25534,x25535,x25532,x25536,x25537))
% 164.85/165.10 [2554]~E(x25541,x25542)+E(f880(x25543,x25544,x25545,x25546,x25541,x25547),f880(x25543,x25544,x25545,x25546,x25542,x25547))
% 164.85/165.10 [2555]~E(x25551,x25552)+E(f880(x25553,x25554,x25555,x25556,x25557,x25551),f880(x25553,x25554,x25555,x25556,x25557,x25552))
% 164.85/165.10 [2556]~E(x25561,x25562)+E(f865(x25561,x25563,x25564,x25565,x25566),f865(x25562,x25563,x25564,x25565,x25566))
% 164.85/165.10 [2557]~E(x25571,x25572)+E(f865(x25573,x25571,x25574,x25575,x25576),f865(x25573,x25572,x25574,x25575,x25576))
% 164.85/165.10 [2558]~E(x25581,x25582)+E(f865(x25583,x25584,x25581,x25585,x25586),f865(x25583,x25584,x25582,x25585,x25586))
% 164.85/165.10 [2559]~E(x25591,x25592)+E(f865(x25593,x25594,x25595,x25591,x25596),f865(x25593,x25594,x25595,x25592,x25596))
% 164.85/165.10 [2560]~E(x25601,x25602)+E(f865(x25603,x25604,x25605,x25606,x25601),f865(x25603,x25604,x25605,x25606,x25602))
% 164.85/165.10 [2561]~E(x25611,x25612)+E(f769(x25611,x25613),f769(x25612,x25613))
% 164.85/165.10 [2562]~E(x25621,x25622)+E(f769(x25623,x25621),f769(x25623,x25622))
% 164.85/165.10 [2563]~E(x25631,x25632)+E(f836(x25631),f836(x25632))
% 164.85/165.10 [2564]~E(x25641,x25642)+E(f652(x25641,x25643,x25644),f652(x25642,x25643,x25644))
% 164.85/165.10 [2565]~E(x25651,x25652)+E(f652(x25653,x25651,x25654),f652(x25653,x25652,x25654))
% 164.85/165.10 [2566]~E(x25661,x25662)+E(f652(x25663,x25664,x25661),f652(x25663,x25664,x25662))
% 164.85/165.10 [2567]~E(x25671,x25672)+E(f103(x25671),f103(x25672))
% 164.85/165.10 [2568]~E(x25681,x25682)+E(f236(x25681,x25683,x25684),f236(x25682,x25683,x25684))
% 164.85/165.10 [2569]~E(x25691,x25692)+E(f236(x25693,x25691,x25694),f236(x25693,x25692,x25694))
% 164.85/165.10 [2570]~E(x25701,x25702)+E(f236(x25703,x25704,x25701),f236(x25703,x25704,x25702))
% 164.85/165.10 [2571]~E(x25711,x25712)+E(f374(x25711,x25713,x25714),f374(x25712,x25713,x25714))
% 164.85/165.10 [2572]~E(x25721,x25722)+E(f374(x25723,x25721,x25724),f374(x25723,x25722,x25724))
% 164.85/165.10 [2573]~E(x25731,x25732)+E(f374(x25733,x25734,x25731),f374(x25733,x25734,x25732))
% 164.85/165.10 [2574]~E(x25741,x25742)+E(f744(x25741,x25743,x25744,x25745),f744(x25742,x25743,x25744,x25745))
% 164.85/165.10 [2575]~E(x25751,x25752)+E(f744(x25753,x25751,x25754,x25755),f744(x25753,x25752,x25754,x25755))
% 164.85/165.10 [2576]~E(x25761,x25762)+E(f744(x25763,x25764,x25761,x25765),f744(x25763,x25764,x25762,x25765))
% 164.85/165.10 [2577]~E(x25771,x25772)+E(f744(x25773,x25774,x25775,x25771),f744(x25773,x25774,x25775,x25772))
% 164.85/165.10 [2578]~E(x25781,x25782)+E(f631(x25781,x25783),f631(x25782,x25783))
% 164.85/165.10 [2579]~E(x25791,x25792)+E(f631(x25793,x25791),f631(x25793,x25792))
% 164.85/165.10 [2580]~E(x25801,x25802)+E(f401(x25801,x25803,x25804),f401(x25802,x25803,x25804))
% 164.85/165.10 [2581]~E(x25811,x25812)+E(f401(x25813,x25811,x25814),f401(x25813,x25812,x25814))
% 164.85/165.10 [2582]~E(x25821,x25822)+E(f401(x25823,x25824,x25821),f401(x25823,x25824,x25822))
% 164.85/165.10 [2583]~E(x25831,x25832)+E(f818(x25831,x25833,x25834),f818(x25832,x25833,x25834))
% 164.85/165.10 [2584]~E(x25841,x25842)+E(f818(x25843,x25841,x25844),f818(x25843,x25842,x25844))
% 164.85/165.10 [2585]~E(x25851,x25852)+E(f818(x25853,x25854,x25851),f818(x25853,x25854,x25852))
% 164.85/165.10 [2586]~E(x25861,x25862)+E(f400(x25861,x25863,x25864),f400(x25862,x25863,x25864))
% 164.85/165.10 [2587]~E(x25871,x25872)+E(f400(x25873,x25871,x25874),f400(x25873,x25872,x25874))
% 164.85/165.10 [2588]~E(x25881,x25882)+E(f400(x25883,x25884,x25881),f400(x25883,x25884,x25882))
% 164.85/165.10 [2589]~E(x25891,x25892)+E(f360(x25891,x25893),f360(x25892,x25893))
% 164.85/165.10 [2590]~E(x25901,x25902)+E(f360(x25903,x25901),f360(x25903,x25902))
% 164.85/165.10 [2591]~E(x25911,x25912)+E(f470(x25911,x25913,x25914),f470(x25912,x25913,x25914))
% 164.85/165.10 [2592]~E(x25921,x25922)+E(f470(x25923,x25921,x25924),f470(x25923,x25922,x25924))
% 164.85/165.10 [2593]~E(x25931,x25932)+E(f470(x25933,x25934,x25931),f470(x25933,x25934,x25932))
% 164.85/165.10 [2594]~E(x25941,x25942)+E(f695(x25941,x25943,x25944,x25945),f695(x25942,x25943,x25944,x25945))
% 164.85/165.10 [2595]~E(x25951,x25952)+E(f695(x25953,x25951,x25954,x25955),f695(x25953,x25952,x25954,x25955))
% 164.85/165.10 [2596]~E(x25961,x25962)+E(f695(x25963,x25964,x25961,x25965),f695(x25963,x25964,x25962,x25965))
% 164.85/165.10 [2597]~E(x25971,x25972)+E(f695(x25973,x25974,x25975,x25971),f695(x25973,x25974,x25975,x25972))
% 164.85/165.10 [2598]~E(x25981,x25982)+E(f397(x25981),f397(x25982))
% 164.85/165.10 [2599]~E(x25991,x25992)+E(f844(x25991,x25993,x25994,x25995,x25996,x25997,x25998),f844(x25992,x25993,x25994,x25995,x25996,x25997,x25998))
% 164.85/165.10 [2600]~E(x26001,x26002)+E(f844(x26003,x26001,x26004,x26005,x26006,x26007,x26008),f844(x26003,x26002,x26004,x26005,x26006,x26007,x26008))
% 164.85/165.10 [2601]~E(x26011,x26012)+E(f844(x26013,x26014,x26011,x26015,x26016,x26017,x26018),f844(x26013,x26014,x26012,x26015,x26016,x26017,x26018))
% 164.85/165.10 [2602]~E(x26021,x26022)+E(f844(x26023,x26024,x26025,x26021,x26026,x26027,x26028),f844(x26023,x26024,x26025,x26022,x26026,x26027,x26028))
% 164.85/165.10 [2603]~E(x26031,x26032)+E(f844(x26033,x26034,x26035,x26036,x26031,x26037,x26038),f844(x26033,x26034,x26035,x26036,x26032,x26037,x26038))
% 164.85/165.10 [2604]~E(x26041,x26042)+E(f844(x26043,x26044,x26045,x26046,x26047,x26041,x26048),f844(x26043,x26044,x26045,x26046,x26047,x26042,x26048))
% 164.85/165.10 [2605]~E(x26051,x26052)+E(f844(x26053,x26054,x26055,x26056,x26057,x26058,x26051),f844(x26053,x26054,x26055,x26056,x26057,x26058,x26052))
% 164.85/165.10 [2606]~E(x26061,x26062)+E(f636(x26061,x26063,x26064,x26065,x26066,x26067),f636(x26062,x26063,x26064,x26065,x26066,x26067))
% 164.85/165.10 [2607]~E(x26071,x26072)+E(f636(x26073,x26071,x26074,x26075,x26076,x26077),f636(x26073,x26072,x26074,x26075,x26076,x26077))
% 164.85/165.10 [2608]~E(x26081,x26082)+E(f636(x26083,x26084,x26081,x26085,x26086,x26087),f636(x26083,x26084,x26082,x26085,x26086,x26087))
% 164.85/165.10 [2609]~E(x26091,x26092)+E(f636(x26093,x26094,x26095,x26091,x26096,x26097),f636(x26093,x26094,x26095,x26092,x26096,x26097))
% 164.85/165.10 [2610]~E(x26101,x26102)+E(f636(x26103,x26104,x26105,x26106,x26101,x26107),f636(x26103,x26104,x26105,x26106,x26102,x26107))
% 164.85/165.10 [2611]~E(x26111,x26112)+E(f636(x26113,x26114,x26115,x26116,x26117,x26111),f636(x26113,x26114,x26115,x26116,x26117,x26112))
% 164.85/165.10 [2612]~E(x26121,x26122)+E(f547(x26121,x26123,x26124),f547(x26122,x26123,x26124))
% 164.85/165.10 [2613]~E(x26131,x26132)+E(f547(x26133,x26131,x26134),f547(x26133,x26132,x26134))
% 164.85/165.10 [2614]~E(x26141,x26142)+E(f547(x26143,x26144,x26141),f547(x26143,x26144,x26142))
% 164.85/165.10 [2615]~E(x26151,x26152)+E(f219(x26151,x26153,x26154,x26155),f219(x26152,x26153,x26154,x26155))
% 164.85/165.10 [2616]~E(x26161,x26162)+E(f219(x26163,x26161,x26164,x26165),f219(x26163,x26162,x26164,x26165))
% 164.85/165.10 [2617]~E(x26171,x26172)+E(f219(x26173,x26174,x26171,x26175),f219(x26173,x26174,x26172,x26175))
% 164.85/165.10 [2618]~E(x26181,x26182)+E(f219(x26183,x26184,x26185,x26181),f219(x26183,x26184,x26185,x26182))
% 164.85/165.10 [2619]~E(x26191,x26192)+E(f381(x26191,x26193,x26194,x26195,x26196,x26197),f381(x26192,x26193,x26194,x26195,x26196,x26197))
% 164.85/165.10 [2620]~E(x26201,x26202)+E(f381(x26203,x26201,x26204,x26205,x26206,x26207),f381(x26203,x26202,x26204,x26205,x26206,x26207))
% 164.85/165.10 [2621]~E(x26211,x26212)+E(f381(x26213,x26214,x26211,x26215,x26216,x26217),f381(x26213,x26214,x26212,x26215,x26216,x26217))
% 164.85/165.10 [2622]~E(x26221,x26222)+E(f381(x26223,x26224,x26225,x26221,x26226,x26227),f381(x26223,x26224,x26225,x26222,x26226,x26227))
% 164.85/165.10 [2623]~E(x26231,x26232)+E(f381(x26233,x26234,x26235,x26236,x26231,x26237),f381(x26233,x26234,x26235,x26236,x26232,x26237))
% 164.85/165.10 [2624]~E(x26241,x26242)+E(f381(x26243,x26244,x26245,x26246,x26247,x26241),f381(x26243,x26244,x26245,x26246,x26247,x26242))
% 164.85/165.10 [2625]~E(x26251,x26252)+E(f576(x26251,x26253,x26254,x26255),f576(x26252,x26253,x26254,x26255))
% 164.85/165.10 [2626]~E(x26261,x26262)+E(f576(x26263,x26261,x26264,x26265),f576(x26263,x26262,x26264,x26265))
% 164.85/165.10 [2627]~E(x26271,x26272)+E(f576(x26273,x26274,x26271,x26275),f576(x26273,x26274,x26272,x26275))
% 164.85/165.10 [2628]~E(x26281,x26282)+E(f576(x26283,x26284,x26285,x26281),f576(x26283,x26284,x26285,x26282))
% 164.85/165.10 [2629]~E(x26291,x26292)+E(f878(x26291,x26293,x26294,x26295),f878(x26292,x26293,x26294,x26295))
% 164.85/165.10 [2630]~E(x26301,x26302)+E(f878(x26303,x26301,x26304,x26305),f878(x26303,x26302,x26304,x26305))
% 164.85/165.10 [2631]~E(x26311,x26312)+E(f878(x26313,x26314,x26311,x26315),f878(x26313,x26314,x26312,x26315))
% 164.85/165.10 [2632]~E(x26321,x26322)+E(f878(x26323,x26324,x26325,x26321),f878(x26323,x26324,x26325,x26322))
% 164.85/165.10 [2633]~E(x26331,x26332)+E(f852(x26331,x26333,x26334),f852(x26332,x26333,x26334))
% 164.85/165.10 [2634]~E(x26341,x26342)+E(f852(x26343,x26341,x26344),f852(x26343,x26342,x26344))
% 164.85/165.10 [2635]~E(x26351,x26352)+E(f852(x26353,x26354,x26351),f852(x26353,x26354,x26352))
% 164.85/165.10 [2636]~E(x26361,x26362)+E(f800(x26361,x26363,x26364,x26365),f800(x26362,x26363,x26364,x26365))
% 164.85/165.10 [2637]~E(x26371,x26372)+E(f800(x26373,x26371,x26374,x26375),f800(x26373,x26372,x26374,x26375))
% 164.85/165.10 [2638]~E(x26381,x26382)+E(f800(x26383,x26384,x26381,x26385),f800(x26383,x26384,x26382,x26385))
% 164.85/165.10 [2639]~E(x26391,x26392)+E(f800(x26393,x26394,x26395,x26391),f800(x26393,x26394,x26395,x26392))
% 164.85/165.10 [2640]~E(x26401,x26402)+E(f225(x26401,x26403,x26404,x26405,x26406,x26407,x26408),f225(x26402,x26403,x26404,x26405,x26406,x26407,x26408))
% 164.85/165.10 [2641]~E(x26411,x26412)+E(f225(x26413,x26411,x26414,x26415,x26416,x26417,x26418),f225(x26413,x26412,x26414,x26415,x26416,x26417,x26418))
% 164.85/165.10 [2642]~E(x26421,x26422)+E(f225(x26423,x26424,x26421,x26425,x26426,x26427,x26428),f225(x26423,x26424,x26422,x26425,x26426,x26427,x26428))
% 164.85/165.10 [2643]~E(x26431,x26432)+E(f225(x26433,x26434,x26435,x26431,x26436,x26437,x26438),f225(x26433,x26434,x26435,x26432,x26436,x26437,x26438))
% 164.85/165.10 [2644]~E(x26441,x26442)+E(f225(x26443,x26444,x26445,x26446,x26441,x26447,x26448),f225(x26443,x26444,x26445,x26446,x26442,x26447,x26448))
% 164.85/165.10 [2645]~E(x26451,x26452)+E(f225(x26453,x26454,x26455,x26456,x26457,x26451,x26458),f225(x26453,x26454,x26455,x26456,x26457,x26452,x26458))
% 164.85/165.10 [2646]~E(x26461,x26462)+E(f225(x26463,x26464,x26465,x26466,x26467,x26468,x26461),f225(x26463,x26464,x26465,x26466,x26467,x26468,x26462))
% 164.85/165.10 [2647]~E(x26471,x26472)+E(f436(x26471,x26473,x26474,x26475),f436(x26472,x26473,x26474,x26475))
% 164.85/165.10 [2648]~E(x26481,x26482)+E(f436(x26483,x26481,x26484,x26485),f436(x26483,x26482,x26484,x26485))
% 164.85/165.10 [2649]~E(x26491,x26492)+E(f436(x26493,x26494,x26491,x26495),f436(x26493,x26494,x26492,x26495))
% 164.85/165.10 [2650]~E(x26501,x26502)+E(f436(x26503,x26504,x26505,x26501),f436(x26503,x26504,x26505,x26502))
% 164.85/165.10 [2651]~E(x26511,x26512)+E(f637(x26511,x26513,x26514,x26515,x26516,x26517),f637(x26512,x26513,x26514,x26515,x26516,x26517))
% 164.85/165.10 [2652]~E(x26521,x26522)+E(f637(x26523,x26521,x26524,x26525,x26526,x26527),f637(x26523,x26522,x26524,x26525,x26526,x26527))
% 164.85/165.10 [2653]~E(x26531,x26532)+E(f637(x26533,x26534,x26531,x26535,x26536,x26537),f637(x26533,x26534,x26532,x26535,x26536,x26537))
% 164.85/165.10 [2654]~E(x26541,x26542)+E(f637(x26543,x26544,x26545,x26541,x26546,x26547),f637(x26543,x26544,x26545,x26542,x26546,x26547))
% 164.85/165.10 [2655]~E(x26551,x26552)+E(f637(x26553,x26554,x26555,x26556,x26551,x26557),f637(x26553,x26554,x26555,x26556,x26552,x26557))
% 164.85/165.10 [2656]~E(x26561,x26562)+E(f637(x26563,x26564,x26565,x26566,x26567,x26561),f637(x26563,x26564,x26565,x26566,x26567,x26562))
% 164.85/165.10 [2657]~E(x26571,x26572)+E(f646(x26571,x26573,x26574,x26575),f646(x26572,x26573,x26574,x26575))
% 164.85/165.10 [2658]~E(x26581,x26582)+E(f646(x26583,x26581,x26584,x26585),f646(x26583,x26582,x26584,x26585))
% 164.85/165.10 [2659]~E(x26591,x26592)+E(f646(x26593,x26594,x26591,x26595),f646(x26593,x26594,x26592,x26595))
% 164.85/165.10 [2660]~E(x26601,x26602)+E(f646(x26603,x26604,x26605,x26601),f646(x26603,x26604,x26605,x26602))
% 164.85/165.10 [2661]~E(x26611,x26612)+E(f630(x26611,x26613,x26614),f630(x26612,x26613,x26614))
% 164.85/165.10 [2662]~E(x26621,x26622)+E(f630(x26623,x26621,x26624),f630(x26623,x26622,x26624))
% 164.85/165.10 [2663]~E(x26631,x26632)+E(f630(x26633,x26634,x26631),f630(x26633,x26634,x26632))
% 164.85/165.10 [2664]~E(x26641,x26642)+E(f412(x26641,x26643,x26644,x26645),f412(x26642,x26643,x26644,x26645))
% 164.85/165.10 [2665]~E(x26651,x26652)+E(f412(x26653,x26651,x26654,x26655),f412(x26653,x26652,x26654,x26655))
% 164.85/165.10 [2666]~E(x26661,x26662)+E(f412(x26663,x26664,x26661,x26665),f412(x26663,x26664,x26662,x26665))
% 164.85/165.10 [2667]~E(x26671,x26672)+E(f412(x26673,x26674,x26675,x26671),f412(x26673,x26674,x26675,x26672))
% 164.85/165.10 [2668]~E(x26681,x26682)+E(f607(x26681,x26683,x26684,x26685,x26686),f607(x26682,x26683,x26684,x26685,x26686))
% 164.85/165.10 [2669]~E(x26691,x26692)+E(f607(x26693,x26691,x26694,x26695,x26696),f607(x26693,x26692,x26694,x26695,x26696))
% 164.85/165.10 [2670]~E(x26701,x26702)+E(f607(x26703,x26704,x26701,x26705,x26706),f607(x26703,x26704,x26702,x26705,x26706))
% 164.85/165.10 [2671]~E(x26711,x26712)+E(f607(x26713,x26714,x26715,x26711,x26716),f607(x26713,x26714,x26715,x26712,x26716))
% 164.85/165.10 [2672]~E(x26721,x26722)+E(f607(x26723,x26724,x26725,x26726,x26721),f607(x26723,x26724,x26725,x26726,x26722))
% 164.85/165.10 [2673]~E(x26731,x26732)+E(f715(x26731,x26733),f715(x26732,x26733))
% 164.85/165.10 [2674]~E(x26741,x26742)+E(f715(x26743,x26741),f715(x26743,x26742))
% 164.85/165.10 [2675]~E(x26751,x26752)+E(f396(x26751,x26753),f396(x26752,x26753))
% 164.85/165.10 [2676]~E(x26761,x26762)+E(f396(x26763,x26761),f396(x26763,x26762))
% 164.85/165.10 [2677]~E(x26771,x26772)+E(f908(x26771,x26773,x26774,x26775,x26776,x26777,x26778),f908(x26772,x26773,x26774,x26775,x26776,x26777,x26778))
% 164.85/165.10 [2678]~E(x26781,x26782)+E(f908(x26783,x26781,x26784,x26785,x26786,x26787,x26788),f908(x26783,x26782,x26784,x26785,x26786,x26787,x26788))
% 164.85/165.10 [2679]~E(x26791,x26792)+E(f908(x26793,x26794,x26791,x26795,x26796,x26797,x26798),f908(x26793,x26794,x26792,x26795,x26796,x26797,x26798))
% 164.85/165.10 [2680]~E(x26801,x26802)+E(f908(x26803,x26804,x26805,x26801,x26806,x26807,x26808),f908(x26803,x26804,x26805,x26802,x26806,x26807,x26808))
% 164.85/165.10 [2681]~E(x26811,x26812)+E(f908(x26813,x26814,x26815,x26816,x26811,x26817,x26818),f908(x26813,x26814,x26815,x26816,x26812,x26817,x26818))
% 164.85/165.10 [2682]~E(x26821,x26822)+E(f908(x26823,x26824,x26825,x26826,x26827,x26821,x26828),f908(x26823,x26824,x26825,x26826,x26827,x26822,x26828))
% 164.85/165.10 [2683]~E(x26831,x26832)+E(f908(x26833,x26834,x26835,x26836,x26837,x26838,x26831),f908(x26833,x26834,x26835,x26836,x26837,x26838,x26832))
% 164.85/165.10 [2684]~E(x26841,x26842)+E(f752(x26841,x26843,x26844),f752(x26842,x26843,x26844))
% 164.85/165.10 [2685]~E(x26851,x26852)+E(f752(x26853,x26851,x26854),f752(x26853,x26852,x26854))
% 164.85/165.10 [2686]~E(x26861,x26862)+E(f752(x26863,x26864,x26861),f752(x26863,x26864,x26862))
% 164.85/165.10 [2687]~E(x26871,x26872)+E(f673(x26871,x26873,x26874,x26875),f673(x26872,x26873,x26874,x26875))
% 164.85/165.10 [2688]~E(x26881,x26882)+E(f673(x26883,x26881,x26884,x26885),f673(x26883,x26882,x26884,x26885))
% 164.85/165.10 [2689]~E(x26891,x26892)+E(f673(x26893,x26894,x26891,x26895),f673(x26893,x26894,x26892,x26895))
% 164.85/165.10 [2690]~E(x26901,x26902)+E(f673(x26903,x26904,x26905,x26901),f673(x26903,x26904,x26905,x26902))
% 164.85/165.10 [2691]~E(x26911,x26912)+E(f518(x26911,x26913),f518(x26912,x26913))
% 164.85/165.10 [2692]~E(x26921,x26922)+E(f518(x26923,x26921),f518(x26923,x26922))
% 164.85/165.10 [2693]~E(x26931,x26932)+E(f221(x26931,x26933,x26934,x26935,x26936,x26937,x26938),f221(x26932,x26933,x26934,x26935,x26936,x26937,x26938))
% 164.85/165.10 [2694]~E(x26941,x26942)+E(f221(x26943,x26941,x26944,x26945,x26946,x26947,x26948),f221(x26943,x26942,x26944,x26945,x26946,x26947,x26948))
% 164.85/165.10 [2695]~E(x26951,x26952)+E(f221(x26953,x26954,x26951,x26955,x26956,x26957,x26958),f221(x26953,x26954,x26952,x26955,x26956,x26957,x26958))
% 164.85/165.10 [2696]~E(x26961,x26962)+E(f221(x26963,x26964,x26965,x26961,x26966,x26967,x26968),f221(x26963,x26964,x26965,x26962,x26966,x26967,x26968))
% 164.85/165.10 [2697]~E(x26971,x26972)+E(f221(x26973,x26974,x26975,x26976,x26971,x26977,x26978),f221(x26973,x26974,x26975,x26976,x26972,x26977,x26978))
% 164.85/165.10 [2698]~E(x26981,x26982)+E(f221(x26983,x26984,x26985,x26986,x26987,x26981,x26988),f221(x26983,x26984,x26985,x26986,x26987,x26982,x26988))
% 164.85/165.10 [2699]~E(x26991,x26992)+E(f221(x26993,x26994,x26995,x26996,x26997,x26998,x26991),f221(x26993,x26994,x26995,x26996,x26997,x26998,x26992))
% 164.85/165.10 [2700]~E(x27001,x27002)+E(f413(x27001,x27003),f413(x27002,x27003))
% 164.85/165.10 [2701]~E(x27011,x27012)+E(f413(x27013,x27011),f413(x27013,x27012))
% 164.85/165.10 [2702]~E(x27021,x27022)+E(f765(x27021,x27023,x27024),f765(x27022,x27023,x27024))
% 164.85/165.10 [2703]~E(x27031,x27032)+E(f765(x27033,x27031,x27034),f765(x27033,x27032,x27034))
% 164.85/165.10 [2704]~E(x27041,x27042)+E(f765(x27043,x27044,x27041),f765(x27043,x27044,x27042))
% 164.85/165.10 [2705]~E(x27051,x27052)+E(f883(x27051),f883(x27052))
% 164.85/165.10 [2706]~E(x27061,x27062)+E(f794(x27061,x27063,x27064,x27065,x27066,x27067,x27068,x27069),f794(x27062,x27063,x27064,x27065,x27066,x27067,x27068,x27069))
% 164.85/165.10 [2707]~E(x27071,x27072)+E(f794(x27073,x27071,x27074,x27075,x27076,x27077,x27078,x27079),f794(x27073,x27072,x27074,x27075,x27076,x27077,x27078,x27079))
% 164.85/165.10 [2708]~E(x27081,x27082)+E(f794(x27083,x27084,x27081,x27085,x27086,x27087,x27088,x27089),f794(x27083,x27084,x27082,x27085,x27086,x27087,x27088,x27089))
% 164.85/165.10 [2709]~E(x27091,x27092)+E(f794(x27093,x27094,x27095,x27091,x27096,x27097,x27098,x27099),f794(x27093,x27094,x27095,x27092,x27096,x27097,x27098,x27099))
% 164.85/165.10 [2710]~E(x27101,x27102)+E(f794(x27103,x27104,x27105,x27106,x27101,x27107,x27108,x27109),f794(x27103,x27104,x27105,x27106,x27102,x27107,x27108,x27109))
% 164.85/165.10 [2711]~E(x27111,x27112)+E(f794(x27113,x27114,x27115,x27116,x27117,x27111,x27118,x27119),f794(x27113,x27114,x27115,x27116,x27117,x27112,x27118,x27119))
% 164.85/165.10 [2712]~E(x27121,x27122)+E(f794(x27123,x27124,x27125,x27126,x27127,x27128,x27121,x27129),f794(x27123,x27124,x27125,x27126,x27127,x27128,x27122,x27129))
% 164.85/165.10 [2713]~E(x27131,x27132)+E(f794(x27133,x27134,x27135,x27136,x27137,x27138,x27139,x27131),f794(x27133,x27134,x27135,x27136,x27137,x27138,x27139,x27132))
% 164.85/165.10 [2714]~E(x27141,x27142)+E(f513(x27141,x27143,x27144),f513(x27142,x27143,x27144))
% 164.85/165.10 [2715]~E(x27151,x27152)+E(f513(x27153,x27151,x27154),f513(x27153,x27152,x27154))
% 164.85/165.10 [2716]~E(x27161,x27162)+E(f513(x27163,x27164,x27161),f513(x27163,x27164,x27162))
% 164.85/165.10 [2717]~E(x27171,x27172)+E(f442(x27171,x27173),f442(x27172,x27173))
% 164.85/165.10 [2718]~E(x27181,x27182)+E(f442(x27183,x27181),f442(x27183,x27182))
% 164.85/165.10 [2719]~E(x27191,x27192)+E(f821(x27191,x27193,x27194),f821(x27192,x27193,x27194))
% 164.85/165.10 [2720]~E(x27201,x27202)+E(f821(x27203,x27201,x27204),f821(x27203,x27202,x27204))
% 164.85/165.10 [2721]~E(x27211,x27212)+E(f821(x27213,x27214,x27211),f821(x27213,x27214,x27212))
% 164.85/165.10 [2722]~E(x27221,x27222)+E(f507(x27221,x27223),f507(x27222,x27223))
% 164.85/165.10 [2723]~E(x27231,x27232)+E(f507(x27233,x27231),f507(x27233,x27232))
% 164.85/165.10 [2724]~E(x27241,x27242)+E(f811(x27241,x27243,x27244),f811(x27242,x27243,x27244))
% 164.85/165.10 [2725]~E(x27251,x27252)+E(f811(x27253,x27251,x27254),f811(x27253,x27252,x27254))
% 164.85/165.10 [2726]~E(x27261,x27262)+E(f811(x27263,x27264,x27261),f811(x27263,x27264,x27262))
% 164.85/165.10 [2727]~E(x27271,x27272)+E(f531(x27271,x27273,x27274,x27275),f531(x27272,x27273,x27274,x27275))
% 164.85/165.10 [2728]~E(x27281,x27282)+E(f531(x27283,x27281,x27284,x27285),f531(x27283,x27282,x27284,x27285))
% 164.85/165.10 [2729]~E(x27291,x27292)+E(f531(x27293,x27294,x27291,x27295),f531(x27293,x27294,x27292,x27295))
% 164.85/165.10 [2730]~E(x27301,x27302)+E(f531(x27303,x27304,x27305,x27301),f531(x27303,x27304,x27305,x27302))
% 164.85/165.10 [2731]~E(x27311,x27312)+E(f53(x27311),f53(x27312))
% 164.85/165.10 [2732]~E(x27321,x27322)+E(f777(x27321,x27323,x27324),f777(x27322,x27323,x27324))
% 164.85/165.10 [2733]~E(x27331,x27332)+E(f777(x27333,x27331,x27334),f777(x27333,x27332,x27334))
% 164.85/165.10 [2734]~E(x27341,x27342)+E(f777(x27343,x27344,x27341),f777(x27343,x27344,x27342))
% 164.85/165.10 [2735]~E(x27351,x27352)+E(f819(x27351,x27353,x27354,x27355),f819(x27352,x27353,x27354,x27355))
% 164.85/165.10 [2736]~E(x27361,x27362)+E(f819(x27363,x27361,x27364,x27365),f819(x27363,x27362,x27364,x27365))
% 164.85/165.10 [2737]~E(x27371,x27372)+E(f819(x27373,x27374,x27371,x27375),f819(x27373,x27374,x27372,x27375))
% 164.85/165.10 [2738]~E(x27381,x27382)+E(f819(x27383,x27384,x27385,x27381),f819(x27383,x27384,x27385,x27382))
% 164.85/165.10 [2739]~E(x27391,x27392)+E(f701(x27391,x27393,x27394,x27395),f701(x27392,x27393,x27394,x27395))
% 164.85/165.10 [2740]~E(x27401,x27402)+E(f701(x27403,x27401,x27404,x27405),f701(x27403,x27402,x27404,x27405))
% 164.85/165.10 [2741]~E(x27411,x27412)+E(f701(x27413,x27414,x27411,x27415),f701(x27413,x27414,x27412,x27415))
% 164.85/165.10 [2742]~E(x27421,x27422)+E(f701(x27423,x27424,x27425,x27421),f701(x27423,x27424,x27425,x27422))
% 164.85/165.10 [2743]~E(x27431,x27432)+E(f898(x27431,x27433,x27434,x27435,x27436),f898(x27432,x27433,x27434,x27435,x27436))
% 164.85/165.10 [2744]~E(x27441,x27442)+E(f898(x27443,x27441,x27444,x27445,x27446),f898(x27443,x27442,x27444,x27445,x27446))
% 164.85/165.10 [2745]~E(x27451,x27452)+E(f898(x27453,x27454,x27451,x27455,x27456),f898(x27453,x27454,x27452,x27455,x27456))
% 164.85/165.10 [2746]~E(x27461,x27462)+E(f898(x27463,x27464,x27465,x27461,x27466),f898(x27463,x27464,x27465,x27462,x27466))
% 164.85/165.10 [2747]~E(x27471,x27472)+E(f898(x27473,x27474,x27475,x27476,x27471),f898(x27473,x27474,x27475,x27476,x27472))
% 164.85/165.10 [2748]~E(x27481,x27482)+E(f890(x27481,x27483,x27484,x27485,x27486),f890(x27482,x27483,x27484,x27485,x27486))
% 164.85/165.10 [2749]~E(x27491,x27492)+E(f890(x27493,x27491,x27494,x27495,x27496),f890(x27493,x27492,x27494,x27495,x27496))
% 164.85/165.10 [2750]~E(x27501,x27502)+E(f890(x27503,x27504,x27501,x27505,x27506),f890(x27503,x27504,x27502,x27505,x27506))
% 164.85/165.10 [2751]~E(x27511,x27512)+E(f890(x27513,x27514,x27515,x27511,x27516),f890(x27513,x27514,x27515,x27512,x27516))
% 164.85/165.10 [2752]~E(x27521,x27522)+E(f890(x27523,x27524,x27525,x27526,x27521),f890(x27523,x27524,x27525,x27526,x27522))
% 164.85/165.10 [2753]~E(x27531,x27532)+E(f745(x27531,x27533,x27534,x27535),f745(x27532,x27533,x27534,x27535))
% 164.85/165.10 [2754]~E(x27541,x27542)+E(f745(x27543,x27541,x27544,x27545),f745(x27543,x27542,x27544,x27545))
% 164.85/165.10 [2755]~E(x27551,x27552)+E(f745(x27553,x27554,x27551,x27555),f745(x27553,x27554,x27552,x27555))
% 164.85/165.10 [2756]~E(x27561,x27562)+E(f745(x27563,x27564,x27565,x27561),f745(x27563,x27564,x27565,x27562))
% 164.85/165.10 [2757]~E(x27571,x27572)+E(f759(x27571,x27573,x27574),f759(x27572,x27573,x27574))
% 164.85/165.10 [2758]~E(x27581,x27582)+E(f759(x27583,x27581,x27584),f759(x27583,x27582,x27584))
% 164.85/165.10 [2759]~E(x27591,x27592)+E(f759(x27593,x27594,x27591),f759(x27593,x27594,x27592))
% 164.85/165.10 [2760]~E(x27601,x27602)+E(f273(x27601,x27603,x27604,x27605,x27606),f273(x27602,x27603,x27604,x27605,x27606))
% 164.85/165.10 [2761]~E(x27611,x27612)+E(f273(x27613,x27611,x27614,x27615,x27616),f273(x27613,x27612,x27614,x27615,x27616))
% 164.85/165.10 [2762]~E(x27621,x27622)+E(f273(x27623,x27624,x27621,x27625,x27626),f273(x27623,x27624,x27622,x27625,x27626))
% 164.85/165.10 [2763]~E(x27631,x27632)+E(f273(x27633,x27634,x27635,x27631,x27636),f273(x27633,x27634,x27635,x27632,x27636))
% 164.85/165.10 [2764]~E(x27641,x27642)+E(f273(x27643,x27644,x27645,x27646,x27641),f273(x27643,x27644,x27645,x27646,x27642))
% 164.85/165.10 [2765]~E(x27651,x27652)+E(f905(x27651,x27653,x27654,x27655,x27656,x27657,x27658),f905(x27652,x27653,x27654,x27655,x27656,x27657,x27658))
% 164.85/165.10 [2766]~E(x27661,x27662)+E(f905(x27663,x27661,x27664,x27665,x27666,x27667,x27668),f905(x27663,x27662,x27664,x27665,x27666,x27667,x27668))
% 164.85/165.10 [2767]~E(x27671,x27672)+E(f905(x27673,x27674,x27671,x27675,x27676,x27677,x27678),f905(x27673,x27674,x27672,x27675,x27676,x27677,x27678))
% 164.85/165.10 [2768]~E(x27681,x27682)+E(f905(x27683,x27684,x27685,x27681,x27686,x27687,x27688),f905(x27683,x27684,x27685,x27682,x27686,x27687,x27688))
% 164.85/165.10 [2769]~E(x27691,x27692)+E(f905(x27693,x27694,x27695,x27696,x27691,x27697,x27698),f905(x27693,x27694,x27695,x27696,x27692,x27697,x27698))
% 164.85/165.10 [2770]~E(x27701,x27702)+E(f905(x27703,x27704,x27705,x27706,x27707,x27701,x27708),f905(x27703,x27704,x27705,x27706,x27707,x27702,x27708))
% 164.85/165.10 [2771]~E(x27711,x27712)+E(f905(x27713,x27714,x27715,x27716,x27717,x27718,x27711),f905(x27713,x27714,x27715,x27716,x27717,x27718,x27712))
% 164.85/165.10 [2772]~E(x27721,x27722)+E(f357(x27721,x27723,x27724,x27725),f357(x27722,x27723,x27724,x27725))
% 164.85/165.10 [2773]~E(x27731,x27732)+E(f357(x27733,x27731,x27734,x27735),f357(x27733,x27732,x27734,x27735))
% 164.85/165.10 [2774]~E(x27741,x27742)+E(f357(x27743,x27744,x27741,x27745),f357(x27743,x27744,x27742,x27745))
% 164.85/165.10 [2775]~E(x27751,x27752)+E(f357(x27753,x27754,x27755,x27751),f357(x27753,x27754,x27755,x27752))
% 164.85/165.10 [2776]~E(x27761,x27762)+E(f806(x27761,x27763,x27764,x27765),f806(x27762,x27763,x27764,x27765))
% 164.85/165.10 [2777]~E(x27771,x27772)+E(f806(x27773,x27771,x27774,x27775),f806(x27773,x27772,x27774,x27775))
% 164.85/165.10 [2778]~E(x27781,x27782)+E(f806(x27783,x27784,x27781,x27785),f806(x27783,x27784,x27782,x27785))
% 164.85/165.10 [2779]~E(x27791,x27792)+E(f806(x27793,x27794,x27795,x27791),f806(x27793,x27794,x27795,x27792))
% 164.85/165.10 [2780]~E(x27801,x27802)+E(f356(x27801,x27803,x27804,x27805),f356(x27802,x27803,x27804,x27805))
% 164.85/165.10 [2781]~E(x27811,x27812)+E(f356(x27813,x27811,x27814,x27815),f356(x27813,x27812,x27814,x27815))
% 164.85/165.10 [2782]~E(x27821,x27822)+E(f356(x27823,x27824,x27821,x27825),f356(x27823,x27824,x27822,x27825))
% 164.85/165.10 [2783]~E(x27831,x27832)+E(f356(x27833,x27834,x27835,x27831),f356(x27833,x27834,x27835,x27832))
% 164.85/165.10 [2784]~E(x27841,x27842)+E(f594(x27841,x27843,x27844),f594(x27842,x27843,x27844))
% 164.85/165.10 [2785]~E(x27851,x27852)+E(f594(x27853,x27851,x27854),f594(x27853,x27852,x27854))
% 164.85/165.10 [2786]~E(x27861,x27862)+E(f594(x27863,x27864,x27861),f594(x27863,x27864,x27862))
% 164.85/165.10 [2787]~E(x27871,x27872)+E(f603(x27871,x27873),f603(x27872,x27873))
% 164.85/165.10 [2788]~E(x27881,x27882)+E(f603(x27883,x27881),f603(x27883,x27882))
% 164.85/165.10 [2789]~E(x27891,x27892)+E(f361(x27891,x27893),f361(x27892,x27893))
% 164.85/165.10 [2790]~E(x27901,x27902)+E(f361(x27903,x27901),f361(x27903,x27902))
% 164.85/165.10 [2791]~E(x27911,x27912)+E(f433(x27911),f433(x27912))
% 164.85/165.10 [2792]~E(x27921,x27922)+E(f435(x27921,x27923),f435(x27922,x27923))
% 164.85/165.10 [2793]~E(x27931,x27932)+E(f435(x27933,x27931),f435(x27933,x27932))
% 164.85/165.10 [2794]~E(x27941,x27942)+E(f350(x27941,x27943),f350(x27942,x27943))
% 164.85/165.10 [2795]~E(x27951,x27952)+E(f350(x27953,x27951),f350(x27953,x27952))
% 164.85/165.10 [2796]~E(x27961,x27962)+E(f734(x27961,x27963),f734(x27962,x27963))
% 164.85/165.10 [2797]~E(x27971,x27972)+E(f734(x27973,x27971),f734(x27973,x27972))
% 164.85/165.10 [2798]~E(x27981,x27982)+E(f242(x27981,x27983,x27984),f242(x27982,x27983,x27984))
% 164.85/165.10 [2799]~E(x27991,x27992)+E(f242(x27993,x27991,x27994),f242(x27993,x27992,x27994))
% 164.85/165.10 [2800]~E(x28001,x28002)+E(f242(x28003,x28004,x28001),f242(x28003,x28004,x28002))
% 164.85/165.10 [2801]~E(x28011,x28012)+E(f787(x28011,x28013),f787(x28012,x28013))
% 164.85/165.10 [2802]~E(x28021,x28022)+E(f787(x28023,x28021),f787(x28023,x28022))
% 164.85/165.10 [2803]~E(x28031,x28032)+E(f451(x28031),f451(x28032))
% 164.85/165.10 [2804]~E(x28041,x28042)+E(f391(x28041,x28043,x28044,x28045),f391(x28042,x28043,x28044,x28045))
% 164.85/165.10 [2805]~E(x28051,x28052)+E(f391(x28053,x28051,x28054,x28055),f391(x28053,x28052,x28054,x28055))
% 164.85/165.10 [2806]~E(x28061,x28062)+E(f391(x28063,x28064,x28061,x28065),f391(x28063,x28064,x28062,x28065))
% 164.85/165.10 [2807]~E(x28071,x28072)+E(f391(x28073,x28074,x28075,x28071),f391(x28073,x28074,x28075,x28072))
% 164.85/165.10 [2808]~E(x28081,x28082)+E(f299(x28081,x28083),f299(x28082,x28083))
% 164.85/165.10 [2809]~E(x28091,x28092)+E(f299(x28093,x28091),f299(x28093,x28092))
% 164.85/165.10 [2810]~E(x28101,x28102)+E(f643(x28101,x28103),f643(x28102,x28103))
% 164.85/165.10 [2811]~E(x28111,x28112)+E(f643(x28113,x28111),f643(x28113,x28112))
% 164.85/165.10 [2812]~E(x28121,x28122)+E(f616(x28121),f616(x28122))
% 164.85/165.10 [2813]~E(x28131,x28132)+E(f135(x28131),f135(x28132))
% 164.85/165.10 [2814]~E(x28141,x28142)+E(f217(x28141,x28143,x28144),f217(x28142,x28143,x28144))
% 164.85/165.10 [2815]~E(x28151,x28152)+E(f217(x28153,x28151,x28154),f217(x28153,x28152,x28154))
% 164.85/165.10 [2816]~E(x28161,x28162)+E(f217(x28163,x28164,x28161),f217(x28163,x28164,x28162))
% 164.85/165.10 [2817]~P1(x28171)+P1(x28172)+~E(x28171,x28172)
% 164.85/165.10 [2818]~P107(x28181)+P107(x28182)+~E(x28181,x28182)
% 164.85/165.10 [2819]P22(x28192,x28193,x28194)+~E(x28191,x28192)+~P22(x28191,x28193,x28194)
% 164.85/165.10 [2820]P22(x28203,x28202,x28204)+~E(x28201,x28202)+~P22(x28203,x28201,x28204)
% 164.85/165.10 [2821]P22(x28213,x28214,x28212)+~E(x28211,x28212)+~P22(x28213,x28214,x28211)
% 164.85/165.10 [2822]~P108(x28221)+P108(x28222)+~E(x28221,x28222)
% 164.85/165.10 [2823]~P122(x28231)+P122(x28232)+~E(x28231,x28232)
% 164.85/165.10 [2824]P12(x28242,x28243)+~E(x28241,x28242)+~P12(x28241,x28243)
% 164.85/165.10 [2825]P12(x28253,x28252)+~E(x28251,x28252)+~P12(x28253,x28251)
% 164.85/165.10 [2826]~P110(x28261)+P110(x28262)+~E(x28261,x28262)
% 164.85/165.10 [2827]~P109(x28271)+P109(x28272)+~E(x28271,x28272)
% 164.85/165.10 [2828]~P68(x28281)+P68(x28282)+~E(x28281,x28282)
% 164.85/165.10 [2829]P148(x28292,x28293,x28294)+~E(x28291,x28292)+~P148(x28291,x28293,x28294)
% 164.85/165.10 [2830]P148(x28303,x28302,x28304)+~E(x28301,x28302)+~P148(x28303,x28301,x28304)
% 164.85/165.10 [2831]P148(x28313,x28314,x28312)+~E(x28311,x28312)+~P148(x28313,x28314,x28311)
% 164.85/165.10 [2832]~P130(x28321)+P130(x28322)+~E(x28321,x28322)
% 164.85/165.10 [2833]~P76(x28331)+P76(x28332)+~E(x28331,x28332)
% 164.85/165.10 [2834]P16(x28342,x28343,x28344)+~E(x28341,x28342)+~P16(x28341,x28343,x28344)
% 164.85/165.10 [2835]P16(x28353,x28352,x28354)+~E(x28351,x28352)+~P16(x28353,x28351,x28354)
% 164.85/165.10 [2836]P16(x28363,x28364,x28362)+~E(x28361,x28362)+~P16(x28363,x28364,x28361)
% 164.85/165.10 [2837]~P78(x28371)+P78(x28372)+~E(x28371,x28372)
% 164.85/165.10 [2838]~P111(x28381)+P111(x28382)+~E(x28381,x28382)
% 164.85/165.10 [2839]~P119(x28391)+P119(x28392)+~E(x28391,x28392)
% 164.85/165.10 [2840]~P97(x28401)+P97(x28402)+~E(x28401,x28402)
% 164.85/165.10 [2841]P147(x28412,x28413,x28414)+~E(x28411,x28412)+~P147(x28411,x28413,x28414)
% 164.85/165.10 [2842]P147(x28423,x28422,x28424)+~E(x28421,x28422)+~P147(x28423,x28421,x28424)
% 164.85/165.10 [2843]P147(x28433,x28434,x28432)+~E(x28431,x28432)+~P147(x28433,x28434,x28431)
% 164.85/165.10 [2844]~P2(x28441)+P2(x28442)+~E(x28441,x28442)
% 164.85/165.10 [2845]P32(x28452,x28453,x28454)+~E(x28451,x28452)+~P32(x28451,x28453,x28454)
% 164.85/165.10 [2846]P32(x28463,x28462,x28464)+~E(x28461,x28462)+~P32(x28463,x28461,x28464)
% 164.85/165.10 [2847]P32(x28473,x28474,x28472)+~E(x28471,x28472)+~P32(x28473,x28474,x28471)
% 164.85/165.10 [2848]~P62(x28481)+P62(x28482)+~E(x28481,x28482)
% 164.85/165.10 [2849]P34(x28492,x28493,x28494)+~E(x28491,x28492)+~P34(x28491,x28493,x28494)
% 164.85/165.10 [2850]P34(x28503,x28502,x28504)+~E(x28501,x28502)+~P34(x28503,x28501,x28504)
% 164.85/165.10 [2851]P34(x28513,x28514,x28512)+~E(x28511,x28512)+~P34(x28513,x28514,x28511)
% 164.85/165.10 [2852]~P79(x28521)+P79(x28522)+~E(x28521,x28522)
% 164.85/165.10 [2853]P23(x28532,x28533,x28534,x28535)+~E(x28531,x28532)+~P23(x28531,x28533,x28534,x28535)
% 164.85/165.10 [2854]P23(x28543,x28542,x28544,x28545)+~E(x28541,x28542)+~P23(x28543,x28541,x28544,x28545)
% 164.85/165.10 [2855]P23(x28553,x28554,x28552,x28555)+~E(x28551,x28552)+~P23(x28553,x28554,x28551,x28555)
% 164.85/165.10 [2856]P23(x28563,x28564,x28565,x28562)+~E(x28561,x28562)+~P23(x28563,x28564,x28565,x28561)
% 164.85/165.10 [2857]~P66(x28571)+P66(x28572)+~E(x28571,x28572)
% 164.85/165.10 [2858]~P63(x28581)+P63(x28582)+~E(x28581,x28582)
% 164.85/165.10 [2859]~P83(x28591)+P83(x28592)+~E(x28591,x28592)
% 164.85/165.10 [2860]~P103(x28601)+P103(x28602)+~E(x28601,x28602)
% 164.85/165.10 [2861]~P91(x28611)+P91(x28612)+~E(x28611,x28612)
% 164.85/165.10 [2862]~P102(x28621)+P102(x28622)+~E(x28621,x28622)
% 164.85/165.10 [2863]~P113(x28631)+P113(x28632)+~E(x28631,x28632)
% 164.85/165.10 [2864]P56(x28642,x28643,x28644,x28645,x28646)+~E(x28641,x28642)+~P56(x28641,x28643,x28644,x28645,x28646)
% 164.85/165.10 [2865]P56(x28653,x28652,x28654,x28655,x28656)+~E(x28651,x28652)+~P56(x28653,x28651,x28654,x28655,x28656)
% 164.85/165.10 [2866]P56(x28663,x28664,x28662,x28665,x28666)+~E(x28661,x28662)+~P56(x28663,x28664,x28661,x28665,x28666)
% 164.85/165.10 [2867]P56(x28673,x28674,x28675,x28672,x28676)+~E(x28671,x28672)+~P56(x28673,x28674,x28675,x28671,x28676)
% 164.85/165.10 [2868]P56(x28683,x28684,x28685,x28686,x28682)+~E(x28681,x28682)+~P56(x28683,x28684,x28685,x28686,x28681)
% 164.85/165.10 [2869]~P84(x28691)+P84(x28692)+~E(x28691,x28692)
% 164.85/165.10 [2870]~P112(x28701)+P112(x28702)+~E(x28701,x28702)
% 164.85/165.10 [2871]~P85(x28711)+P85(x28712)+~E(x28711,x28712)
% 164.85/165.10 [2872]~P3(x28721)+P3(x28722)+~E(x28721,x28722)
% 164.85/165.10 [2873]~P98(x28731)+P98(x28732)+~E(x28731,x28732)
% 164.85/165.10 [2874]~P67(x28741)+P67(x28742)+~E(x28741,x28742)
% 164.85/165.10 [2875]P59(x28752,x28753)+~E(x28751,x28752)+~P59(x28751,x28753)
% 164.85/165.10 [2876]P59(x28763,x28762)+~E(x28761,x28762)+~P59(x28763,x28761)
% 164.85/165.10 [2877]~P101(x28771)+P101(x28772)+~E(x28771,x28772)
% 164.85/165.10 [2878]P55(x28782,x28783,x28784)+~E(x28781,x28782)+~P55(x28781,x28783,x28784)
% 164.85/165.10 [2879]P55(x28793,x28792,x28794)+~E(x28791,x28792)+~P55(x28793,x28791,x28794)
% 164.85/165.10 [2880]P55(x28803,x28804,x28802)+~E(x28801,x28802)+~P55(x28803,x28804,x28801)
% 164.85/165.10 [2881]P35(x28812,x28813,x28814,x28815,x28816)+~E(x28811,x28812)+~P35(x28811,x28813,x28814,x28815,x28816)
% 164.85/165.10 [2882]P35(x28823,x28822,x28824,x28825,x28826)+~E(x28821,x28822)+~P35(x28823,x28821,x28824,x28825,x28826)
% 164.85/165.10 [2883]P35(x28833,x28834,x28832,x28835,x28836)+~E(x28831,x28832)+~P35(x28833,x28834,x28831,x28835,x28836)
% 164.85/165.10 [2884]P35(x28843,x28844,x28845,x28842,x28846)+~E(x28841,x28842)+~P35(x28843,x28844,x28845,x28841,x28846)
% 164.85/165.10 [2885]P35(x28853,x28854,x28855,x28856,x28852)+~E(x28851,x28852)+~P35(x28853,x28854,x28855,x28856,x28851)
% 164.85/165.10 [2886]~P69(x28861)+P69(x28862)+~E(x28861,x28862)
% 164.85/165.10 [2887]P24(x28872,x28873,x28874,x28875,x28876)+~E(x28871,x28872)+~P24(x28871,x28873,x28874,x28875,x28876)
% 164.85/165.10 [2888]P24(x28883,x28882,x28884,x28885,x28886)+~E(x28881,x28882)+~P24(x28883,x28881,x28884,x28885,x28886)
% 164.85/165.10 [2889]P24(x28893,x28894,x28892,x28895,x28896)+~E(x28891,x28892)+~P24(x28893,x28894,x28891,x28895,x28896)
% 164.85/165.10 [2890]P24(x28903,x28904,x28905,x28902,x28906)+~E(x28901,x28902)+~P24(x28903,x28904,x28905,x28901,x28906)
% 164.85/165.10 [2891]P24(x28913,x28914,x28915,x28916,x28912)+~E(x28911,x28912)+~P24(x28913,x28914,x28915,x28916,x28911)
% 164.85/165.10 [2892]P6(x28922,x28923,x28924)+~E(x28921,x28922)+~P6(x28921,x28923,x28924)
% 164.85/165.10 [2893]P6(x28933,x28932,x28934)+~E(x28931,x28932)+~P6(x28933,x28931,x28934)
% 164.85/165.10 [2894]P6(x28943,x28944,x28942)+~E(x28941,x28942)+~P6(x28943,x28944,x28941)
% 164.85/165.10 [2895]~P71(x28951)+P71(x28952)+~E(x28951,x28952)
% 164.85/165.10 [2896]~P86(x28961)+P86(x28962)+~E(x28961,x28962)
% 164.85/165.10 [2897]~P87(x28971)+P87(x28972)+~E(x28971,x28972)
% 164.85/165.10 [2898]~P92(x28981)+P92(x28982)+~E(x28981,x28982)
% 164.85/165.10 [2899]~P146(x28991)+P146(x28992)+~E(x28991,x28992)
% 164.85/165.10 [2900]~P114(x29001)+P114(x29002)+~E(x29001,x29002)
% 164.85/165.10 [2901]P38(x29012,x29013)+~E(x29011,x29012)+~P38(x29011,x29013)
% 164.85/165.10 [2902]P38(x29023,x29022)+~E(x29021,x29022)+~P38(x29023,x29021)
% 164.85/165.10 [2903]~P64(x29031)+P64(x29032)+~E(x29031,x29032)
% 164.85/165.10 [2904]~P72(x29041)+P72(x29042)+~E(x29041,x29042)
% 164.85/165.10 [2905]~P115(x29051)+P115(x29052)+~E(x29051,x29052)
% 164.85/165.10 [2906]~P139(x29061)+P139(x29062)+~E(x29061,x29062)
% 164.85/165.10 [2907]~P88(x29071)+P88(x29072)+~E(x29071,x29072)
% 164.85/165.10 [2908]P39(x29082,x29083)+~E(x29081,x29082)+~P39(x29081,x29083)
% 164.85/165.10 [2909]P39(x29093,x29092)+~E(x29091,x29092)+~P39(x29093,x29091)
% 164.85/165.10 [2910]P17(x29102,x29103,x29104,x29105)+~E(x29101,x29102)+~P17(x29101,x29103,x29104,x29105)
% 164.85/165.10 [2911]P17(x29113,x29112,x29114,x29115)+~E(x29111,x29112)+~P17(x29113,x29111,x29114,x29115)
% 164.85/165.10 [2912]P17(x29123,x29124,x29122,x29125)+~E(x29121,x29122)+~P17(x29123,x29124,x29121,x29125)
% 164.85/165.10 [2913]P17(x29133,x29134,x29135,x29132)+~E(x29131,x29132)+~P17(x29133,x29134,x29135,x29131)
% 164.85/165.10 [2914]~P82(x29141)+P82(x29142)+~E(x29141,x29142)
% 164.85/165.10 [2915]~P141(x29151)+P141(x29152)+~E(x29151,x29152)
% 164.85/165.10 [2916]~P140(x29161)+P140(x29162)+~E(x29161,x29162)
% 164.85/165.10 [2917]P54(x29172,x29173,x29174)+~E(x29171,x29172)+~P54(x29171,x29173,x29174)
% 164.85/165.10 [2918]P54(x29183,x29182,x29184)+~E(x29181,x29182)+~P54(x29183,x29181,x29184)
% 164.85/165.10 [2919]P54(x29193,x29194,x29192)+~E(x29191,x29192)+~P54(x29193,x29194,x29191)
% 164.85/165.10 [2920]~P142(x29201)+P142(x29202)+~E(x29201,x29202)
% 164.85/165.10 [2921]P57(x29212,x29213)+~E(x29211,x29212)+~P57(x29211,x29213)
% 164.85/165.10 [2922]P57(x29223,x29222)+~E(x29221,x29222)+~P57(x29223,x29221)
% 164.85/165.10 [2923]P41(x29232,x29233,x29234)+~E(x29231,x29232)+~P41(x29231,x29233,x29234)
% 164.85/165.10 [2924]P41(x29243,x29242,x29244)+~E(x29241,x29242)+~P41(x29243,x29241,x29244)
% 164.85/165.10 [2925]P41(x29253,x29254,x29252)+~E(x29251,x29252)+~P41(x29253,x29254,x29251)
% 164.85/165.10 [2926]~P125(x29261)+P125(x29262)+~E(x29261,x29262)
% 164.85/165.10 [2927]~P73(x29271)+P73(x29272)+~E(x29271,x29272)
% 164.85/165.10 [2928]P44(x29282,x29283,x29284,x29285,x29286,x29287)+~E(x29281,x29282)+~P44(x29281,x29283,x29284,x29285,x29286,x29287)
% 164.85/165.10 [2929]P44(x29293,x29292,x29294,x29295,x29296,x29297)+~E(x29291,x29292)+~P44(x29293,x29291,x29294,x29295,x29296,x29297)
% 164.85/165.10 [2930]P44(x29303,x29304,x29302,x29305,x29306,x29307)+~E(x29301,x29302)+~P44(x29303,x29304,x29301,x29305,x29306,x29307)
% 164.85/165.10 [2931]P44(x29313,x29314,x29315,x29312,x29316,x29317)+~E(x29311,x29312)+~P44(x29313,x29314,x29315,x29311,x29316,x29317)
% 164.85/165.10 [2932]P44(x29323,x29324,x29325,x29326,x29322,x29327)+~E(x29321,x29322)+~P44(x29323,x29324,x29325,x29326,x29321,x29327)
% 164.85/165.10 [2933]P44(x29333,x29334,x29335,x29336,x29337,x29332)+~E(x29331,x29332)+~P44(x29333,x29334,x29335,x29336,x29337,x29331)
% 164.85/165.10 [2934]~P4(x29341)+P4(x29342)+~E(x29341,x29342)
% 164.85/165.10 [2935]~P74(x29351)+P74(x29352)+~E(x29351,x29352)
% 164.85/165.10 [2936]~P90(x29361)+P90(x29362)+~E(x29361,x29362)
% 164.85/165.10 [2937]~P96(x29371)+P96(x29372)+~E(x29371,x29372)
% 164.85/165.10 [2938]~P70(x29381)+P70(x29382)+~E(x29381,x29382)
% 164.85/165.10 [2939]P29(x29392,x29393,x29394)+~E(x29391,x29392)+~P29(x29391,x29393,x29394)
% 164.85/165.10 [2940]P29(x29403,x29402,x29404)+~E(x29401,x29402)+~P29(x29403,x29401,x29404)
% 164.85/165.10 [2941]P29(x29413,x29414,x29412)+~E(x29411,x29412)+~P29(x29413,x29414,x29411)
% 164.85/165.10 [2942]~P65(x29421)+P65(x29422)+~E(x29421,x29422)
% 164.85/165.10 [2943]~P80(x29431)+P80(x29432)+~E(x29431,x29432)
% 164.85/165.10 [2944]~P127(x29441)+P127(x29442)+~E(x29441,x29442)
% 164.85/165.10 [2945]~P40(x29451)+P40(x29452)+~E(x29451,x29452)
% 164.85/165.10 [2946]~P60(x29461)+P60(x29462)+~E(x29461,x29462)
% 164.85/165.10 [2947]P8(x29472,x29473,x29474,x29475,x29476)+~E(x29471,x29472)+~P8(x29471,x29473,x29474,x29475,x29476)
% 164.85/165.10 [2948]P8(x29483,x29482,x29484,x29485,x29486)+~E(x29481,x29482)+~P8(x29483,x29481,x29484,x29485,x29486)
% 164.85/165.10 [2949]P8(x29493,x29494,x29492,x29495,x29496)+~E(x29491,x29492)+~P8(x29493,x29494,x29491,x29495,x29496)
% 164.85/165.10 [2950]P8(x29503,x29504,x29505,x29502,x29506)+~E(x29501,x29502)+~P8(x29503,x29504,x29505,x29501,x29506)
% 164.85/165.10 [2951]P8(x29513,x29514,x29515,x29516,x29512)+~E(x29511,x29512)+~P8(x29513,x29514,x29515,x29516,x29511)
% 164.85/165.10 [2952]P13(x29522,x29523,x29524)+~E(x29521,x29522)+~P13(x29521,x29523,x29524)
% 164.85/165.10 [2953]P13(x29533,x29532,x29534)+~E(x29531,x29532)+~P13(x29533,x29531,x29534)
% 164.85/165.10 [2954]P13(x29543,x29544,x29542)+~E(x29541,x29542)+~P13(x29543,x29544,x29541)
% 164.85/165.10 [2955]~P89(x29551)+P89(x29552)+~E(x29551,x29552)
% 164.85/165.10 [2956]~P81(x29561)+P81(x29562)+~E(x29561,x29562)
% 164.85/165.10 [2957]~P135(x29571)+P135(x29572)+~E(x29571,x29572)
% 164.85/165.10 [2958]~P100(x29581)+P100(x29582)+~E(x29581,x29582)
% 164.85/165.10 [2959]P14(x29592,x29593,x29594)+~E(x29591,x29592)+~P14(x29591,x29593,x29594)
% 164.85/165.10 [2960]P14(x29603,x29602,x29604)+~E(x29601,x29602)+~P14(x29603,x29601,x29604)
% 164.85/165.10 [2961]P14(x29613,x29614,x29612)+~E(x29611,x29612)+~P14(x29613,x29614,x29611)
% 164.85/165.10 [2962]P25(x29622,x29623)+~E(x29621,x29622)+~P25(x29621,x29623)
% 164.85/165.10 [2963]P25(x29633,x29632)+~E(x29631,x29632)+~P25(x29633,x29631)
% 164.85/165.10 [2964]~P116(x29641)+P116(x29642)+~E(x29641,x29642)
% 164.85/165.10 [2965]~P93(x29651)+P93(x29652)+~E(x29651,x29652)
% 164.85/165.10 [2966]~P105(x29661)+P105(x29662)+~E(x29661,x29662)
% 164.85/165.10 [2967]~P120(x29671)+P120(x29672)+~E(x29671,x29672)
% 164.85/165.10 [2968]P15(x29682,x29683,x29684)+~E(x29681,x29682)+~P15(x29681,x29683,x29684)
% 164.85/165.10 [2969]P15(x29693,x29692,x29694)+~E(x29691,x29692)+~P15(x29693,x29691,x29694)
% 164.85/165.10 [2970]P15(x29703,x29704,x29702)+~E(x29701,x29702)+~P15(x29703,x29704,x29701)
% 164.85/165.10 [2971]P36(x29712,x29713,x29714)+~E(x29711,x29712)+~P36(x29711,x29713,x29714)
% 164.85/165.10 [2972]P36(x29723,x29722,x29724)+~E(x29721,x29722)+~P36(x29723,x29721,x29724)
% 164.85/165.10 [2973]P36(x29733,x29734,x29732)+~E(x29731,x29732)+~P36(x29733,x29734,x29731)
% 164.85/165.10 [2974]P49(x29742,x29743,x29744)+~E(x29741,x29742)+~P49(x29741,x29743,x29744)
% 164.85/165.10 [2975]P49(x29753,x29752,x29754)+~E(x29751,x29752)+~P49(x29753,x29751,x29754)
% 164.85/165.10 [2976]P49(x29763,x29764,x29762)+~E(x29761,x29762)+~P49(x29763,x29764,x29761)
% 164.85/165.10 [2977]P21(x29772,x29773,x29774,x29775,x29776,x29777)+~E(x29771,x29772)+~P21(x29771,x29773,x29774,x29775,x29776,x29777)
% 164.85/165.10 [2978]P21(x29783,x29782,x29784,x29785,x29786,x29787)+~E(x29781,x29782)+~P21(x29783,x29781,x29784,x29785,x29786,x29787)
% 164.85/165.10 [2979]P21(x29793,x29794,x29792,x29795,x29796,x29797)+~E(x29791,x29792)+~P21(x29793,x29794,x29791,x29795,x29796,x29797)
% 164.85/165.10 [2980]P21(x29803,x29804,x29805,x29802,x29806,x29807)+~E(x29801,x29802)+~P21(x29803,x29804,x29805,x29801,x29806,x29807)
% 164.85/165.10 [2981]P21(x29813,x29814,x29815,x29816,x29812,x29817)+~E(x29811,x29812)+~P21(x29813,x29814,x29815,x29816,x29811,x29817)
% 164.85/165.10 [2982]P21(x29823,x29824,x29825,x29826,x29827,x29822)+~E(x29821,x29822)+~P21(x29823,x29824,x29825,x29826,x29827,x29821)
% 164.85/165.10 [2983]~P126(x29831)+P126(x29832)+~E(x29831,x29832)
% 164.85/165.10 [2984]P45(x29842,x29843)+~E(x29841,x29842)+~P45(x29841,x29843)
% 164.85/165.10 [2985]P45(x29853,x29852)+~E(x29851,x29852)+~P45(x29853,x29851)
% 164.85/165.10 [2986]~P128(x29861)+P128(x29862)+~E(x29861,x29862)
% 164.85/165.10 [2987]~P117(x29871)+P117(x29872)+~E(x29871,x29872)
% 164.85/165.10 [2988]P11(x29882,x29883,x29884,x29885,x29886,x29887)+~E(x29881,x29882)+~P11(x29881,x29883,x29884,x29885,x29886,x29887)
% 164.85/165.10 [2989]P11(x29893,x29892,x29894,x29895,x29896,x29897)+~E(x29891,x29892)+~P11(x29893,x29891,x29894,x29895,x29896,x29897)
% 164.85/165.10 [2990]P11(x29903,x29904,x29902,x29905,x29906,x29907)+~E(x29901,x29902)+~P11(x29903,x29904,x29901,x29905,x29906,x29907)
% 164.85/165.10 [2991]P11(x29913,x29914,x29915,x29912,x29916,x29917)+~E(x29911,x29912)+~P11(x29913,x29914,x29915,x29911,x29916,x29917)
% 164.85/165.10 [2992]P11(x29923,x29924,x29925,x29926,x29922,x29927)+~E(x29921,x29922)+~P11(x29923,x29924,x29925,x29926,x29921,x29927)
% 164.85/165.10 [2993]P11(x29933,x29934,x29935,x29936,x29937,x29932)+~E(x29931,x29932)+~P11(x29933,x29934,x29935,x29936,x29937,x29931)
% 164.85/165.10 [2994]~P132(x29941)+P132(x29942)+~E(x29941,x29942)
% 164.85/165.10 [2995]P33(x29952,x29953,x29954,x29955)+~E(x29951,x29952)+~P33(x29951,x29953,x29954,x29955)
% 164.85/165.10 [2996]P33(x29963,x29962,x29964,x29965)+~E(x29961,x29962)+~P33(x29963,x29961,x29964,x29965)
% 164.85/165.10 [2997]P33(x29973,x29974,x29972,x29975)+~E(x29971,x29972)+~P33(x29973,x29974,x29971,x29975)
% 164.85/165.10 [2998]P33(x29983,x29984,x29985,x29982)+~E(x29981,x29982)+~P33(x29983,x29984,x29985,x29981)
% 164.85/165.10 [2999]~P144(x29991)+P144(x29992)+~E(x29991,x29992)
% 164.85/165.10 [3000]P27(x30002,x30003)+~E(x30001,x30002)+~P27(x30001,x30003)
% 164.85/165.10 [3001]P27(x30013,x30012)+~E(x30011,x30012)+~P27(x30013,x30011)
% 164.85/165.10 [3002]~P77(x30021)+P77(x30022)+~E(x30021,x30022)
% 164.85/165.10 [3003]P18(x30032,x30033,x30034,x30035)+~E(x30031,x30032)+~P18(x30031,x30033,x30034,x30035)
% 164.85/165.10 [3004]P18(x30043,x30042,x30044,x30045)+~E(x30041,x30042)+~P18(x30043,x30041,x30044,x30045)
% 164.85/165.10 [3005]P18(x30053,x30054,x30052,x30055)+~E(x30051,x30052)+~P18(x30053,x30054,x30051,x30055)
% 164.85/165.10 [3006]P18(x30063,x30064,x30065,x30062)+~E(x30061,x30062)+~P18(x30063,x30064,x30065,x30061)
% 164.85/165.10 [3007]P10(x30072,x30073,x30074,x30075)+~E(x30071,x30072)+~P10(x30071,x30073,x30074,x30075)
% 164.85/165.10 [3008]P10(x30083,x30082,x30084,x30085)+~E(x30081,x30082)+~P10(x30083,x30081,x30084,x30085)
% 164.85/165.10 [3009]P10(x30093,x30094,x30092,x30095)+~E(x30091,x30092)+~P10(x30093,x30094,x30091,x30095)
% 164.85/165.10 [3010]P10(x30103,x30104,x30105,x30102)+~E(x30101,x30102)+~P10(x30103,x30104,x30105,x30101)
% 164.85/165.10 [3011]~P137(x30111)+P137(x30112)+~E(x30111,x30112)
% 164.85/165.10 [3012]~P95(x30121)+P95(x30122)+~E(x30121,x30122)
% 164.85/165.10 [3013]~P99(x30131)+P99(x30132)+~E(x30131,x30132)
% 164.85/165.10 [3014]P19(x30142,x30143,x30144,x30145,x30146)+~E(x30141,x30142)+~P19(x30141,x30143,x30144,x30145,x30146)
% 164.85/165.10 [3015]P19(x30153,x30152,x30154,x30155,x30156)+~E(x30151,x30152)+~P19(x30153,x30151,x30154,x30155,x30156)
% 164.85/165.10 [3016]P19(x30163,x30164,x30162,x30165,x30166)+~E(x30161,x30162)+~P19(x30163,x30164,x30161,x30165,x30166)
% 164.85/165.10 [3017]P19(x30173,x30174,x30175,x30172,x30176)+~E(x30171,x30172)+~P19(x30173,x30174,x30175,x30171,x30176)
% 164.85/165.10 [3018]P19(x30183,x30184,x30185,x30186,x30182)+~E(x30181,x30182)+~P19(x30183,x30184,x30185,x30186,x30181)
% 164.85/165.10 [3019]P5(x30192,x30193)+~E(x30191,x30192)+~P5(x30191,x30193)
% 164.85/165.10 [3020]P5(x30203,x30202)+~E(x30201,x30202)+~P5(x30203,x30201)
% 164.85/165.10 [3021]~P123(x30211)+P123(x30212)+~E(x30211,x30212)
% 164.85/165.10 [3022]~P118(x30221)+P118(x30222)+~E(x30221,x30222)
% 164.85/165.10 [3023]~P129(x30231)+P129(x30232)+~E(x30231,x30232)
% 164.85/165.10 [3024]P42(x30242,x30243,x30244,x30245)+~E(x30241,x30242)+~P42(x30241,x30243,x30244,x30245)
% 164.85/165.10 [3025]P42(x30253,x30252,x30254,x30255)+~E(x30251,x30252)+~P42(x30253,x30251,x30254,x30255)
% 164.85/165.10 [3026]P42(x30263,x30264,x30262,x30265)+~E(x30261,x30262)+~P42(x30263,x30264,x30261,x30265)
% 164.85/165.10 [3027]P42(x30273,x30274,x30275,x30272)+~E(x30271,x30272)+~P42(x30273,x30274,x30275,x30271)
% 164.85/165.10 [3028]~P145(x30281)+P145(x30282)+~E(x30281,x30282)
% 164.85/165.10 [3029]~P143(x30291)+P143(x30292)+~E(x30291,x30292)
% 164.85/165.10 [3030]~P134(x30301)+P134(x30302)+~E(x30301,x30302)
% 164.85/165.10 [3031]P31(x30312,x30313,x30314)+~E(x30311,x30312)+~P31(x30311,x30313,x30314)
% 164.85/165.10 [3032]P31(x30323,x30322,x30324)+~E(x30321,x30322)+~P31(x30323,x30321,x30324)
% 164.85/165.10 [3033]P31(x30333,x30334,x30332)+~E(x30331,x30332)+~P31(x30333,x30334,x30331)
% 164.85/165.10 [3034]P28(x30342,x30343,x30344)+~E(x30341,x30342)+~P28(x30341,x30343,x30344)
% 164.85/165.10 [3035]P28(x30353,x30352,x30354)+~E(x30351,x30352)+~P28(x30353,x30351,x30354)
% 164.85/165.10 [3036]P28(x30363,x30364,x30362)+~E(x30361,x30362)+~P28(x30363,x30364,x30361)
% 164.85/165.10 [3037]P52(x30372,x30373)+~E(x30371,x30372)+~P52(x30371,x30373)
% 164.85/165.10 [3038]P52(x30383,x30382)+~E(x30381,x30382)+~P52(x30383,x30381)
% 164.85/165.10 [3039]~P9(x30391)+P9(x30392)+~E(x30391,x30392)
% 164.85/165.10 [3040]P58(x30402,x30403,x30404,x30405)+~E(x30401,x30402)+~P58(x30401,x30403,x30404,x30405)
% 164.85/165.10 [3041]P58(x30413,x30412,x30414,x30415)+~E(x30411,x30412)+~P58(x30413,x30411,x30414,x30415)
% 164.85/165.10 [3042]P58(x30423,x30424,x30422,x30425)+~E(x30421,x30422)+~P58(x30423,x30424,x30421,x30425)
% 164.85/165.10 [3043]P58(x30433,x30434,x30435,x30432)+~E(x30431,x30432)+~P58(x30433,x30434,x30435,x30431)
% 164.85/165.10 [3044]P46(x30442,x30443)+~E(x30441,x30442)+~P46(x30441,x30443)
% 164.85/165.10 [3045]P46(x30453,x30452)+~E(x30451,x30452)+~P46(x30453,x30451)
% 164.85/165.10 [3046]~P131(x30461)+P131(x30462)+~E(x30461,x30462)
% 164.85/165.10 [3047]P51(x30472,x30473,x30474,x30475)+~E(x30471,x30472)+~P51(x30471,x30473,x30474,x30475)
% 164.85/165.10 [3048]P51(x30483,x30482,x30484,x30485)+~E(x30481,x30482)+~P51(x30483,x30481,x30484,x30485)
% 164.85/165.10 [3049]P51(x30493,x30494,x30492,x30495)+~E(x30491,x30492)+~P51(x30493,x30494,x30491,x30495)
% 164.85/165.10 [3050]P51(x30503,x30504,x30505,x30502)+~E(x30501,x30502)+~P51(x30503,x30504,x30505,x30501)
% 164.85/165.10 [3051]~P61(x30511)+P61(x30512)+~E(x30511,x30512)
% 164.85/165.10 [3052]P43(x30522,x30523)+~E(x30521,x30522)+~P43(x30521,x30523)
% 164.85/165.10 [3053]P43(x30533,x30532)+~E(x30531,x30532)+~P43(x30533,x30531)
% 164.85/165.10 [3054]~P30(x30541)+P30(x30542)+~E(x30541,x30542)
% 164.85/165.10 [3055]~P106(x30551)+P106(x30552)+~E(x30551,x30552)
% 164.85/165.10 [3056]P48(x30562,x30563)+~E(x30561,x30562)+~P48(x30561,x30563)
% 164.85/165.10 [3057]P48(x30573,x30572)+~E(x30571,x30572)+~P48(x30573,x30571)
% 164.85/165.10 [3058]P7(x30582,x30583,x30584)+~E(x30581,x30582)+~P7(x30581,x30583,x30584)
% 164.85/165.10 [3059]P7(x30593,x30592,x30594)+~E(x30591,x30592)+~P7(x30593,x30591,x30594)
% 164.85/165.10 [3060]P7(x30603,x30604,x30602)+~E(x30601,x30602)+~P7(x30603,x30604,x30601)
% 164.85/165.10 [3061]~P37(x30611)+P37(x30612)+~E(x30611,x30612)
% 164.85/165.10 [3062]P20(x30622,x30623,x30624,x30625,x30626,x30627)+~E(x30621,x30622)+~P20(x30621,x30623,x30624,x30625,x30626,x30627)
% 164.85/165.10 [3063]P20(x30633,x30632,x30634,x30635,x30636,x30637)+~E(x30631,x30632)+~P20(x30633,x30631,x30634,x30635,x30636,x30637)
% 164.85/165.10 [3064]P20(x30643,x30644,x30642,x30645,x30646,x30647)+~E(x30641,x30642)+~P20(x30643,x30644,x30641,x30645,x30646,x30647)
% 164.85/165.10 [3065]P20(x30653,x30654,x30655,x30652,x30656,x30657)+~E(x30651,x30652)+~P20(x30653,x30654,x30655,x30651,x30656,x30657)
% 164.85/165.10 [3066]P20(x30663,x30664,x30665,x30666,x30662,x30667)+~E(x30661,x30662)+~P20(x30663,x30664,x30665,x30666,x30661,x30667)
% 164.85/165.10 [3067]P20(x30673,x30674,x30675,x30676,x30677,x30672)+~E(x30671,x30672)+~P20(x30673,x30674,x30675,x30676,x30677,x30671)
% 164.85/165.10 [3068]~P136(x30681)+P136(x30682)+~E(x30681,x30682)
% 164.85/165.10 [3069]~P75(x30691)+P75(x30692)+~E(x30691,x30692)
% 164.85/165.10 [3070]~P26(x30701)+P26(x30702)+~E(x30701,x30702)
% 164.85/165.10 [3071]~P47(x30711)+P47(x30712)+~E(x30711,x30712)
% 164.85/165.10 [3072]~P94(x30721)+P94(x30722)+~E(x30721,x30722)
% 164.85/165.10 [3073]~P104(x30731)+P104(x30732)+~E(x30731,x30732)
% 164.85/165.10 [3074]~P121(x30741)+P121(x30742)+~E(x30741,x30742)
% 164.85/165.10 [3075]~P138(x30751)+P138(x30752)+~E(x30751,x30752)
% 164.85/165.10 [3076]~P124(x30761)+P124(x30762)+~E(x30761,x30762)
% 164.85/165.10 [3077]P50(x30772,x30773,x30774)+~E(x30771,x30772)+~P50(x30771,x30773,x30774)
% 164.85/165.10 [3078]P50(x30783,x30782,x30784)+~E(x30781,x30782)+~P50(x30783,x30781,x30784)
% 164.85/165.10 [3079]P50(x30793,x30794,x30792)+~E(x30791,x30792)+~P50(x30793,x30794,x30791)
% 164.85/165.10 [3080]P53(x30802,x30803)+~E(x30801,x30802)+~P53(x30801,x30803)
% 164.85/165.10 [3081]P53(x30813,x30812)+~E(x30811,x30812)+~P53(x30813,x30811)
% 164.85/165.10 [3082]~P133(x30821)+P133(x30822)+~E(x30821,x30822)
% 164.85/165.10
% 164.85/165.10 %-------------------------------------------
% 164.85/165.15 cnf(10427,plain,
% 164.85/165.15 (E(f35(x104271,x104272,x104273,x104274,x104275,x104276,x104277,x104278,x104279,a26),x104272)),
% 164.85/165.15 inference(rename_variables,[],[4631])).
% 164.85/165.15 cnf(10430,plain,
% 164.85/165.15 (~E(f334(a125,x104301),x104301)),
% 164.85/165.15 inference(rename_variables,[],[4648])).
% 164.85/165.15 cnf(10437,plain,
% 164.85/165.15 (~E(f334(a125,x104371),x104371)),
% 164.85/165.15 inference(rename_variables,[],[4648])).
% 164.85/165.15 cnf(10444,plain,
% 164.85/165.15 (E(f35(x104441,x104442,x104443,x104444,x104445,x104446,x104447,x104448,x104449,a26),x104442)),
% 164.85/165.15 inference(rename_variables,[],[4631])).
% 164.85/165.15 cnf(10451,plain,
% 164.85/165.15 (~E(f334(a125,x104511),x104511)),
% 164.85/165.15 inference(rename_variables,[],[4648])).
% 164.85/165.15 cnf(10456,plain,
% 164.85/165.15 (~P107(f334(f334(f182(x104561),f126(x104561)),x104562))),
% 164.85/165.15 inference(rename_variables,[],[4718])).
% 164.85/165.15 cnf(10459,plain,
% 164.85/165.15 (~P107(f334(f334(f182(x104591),f126(x104591)),x104592))),
% 164.85/165.15 inference(rename_variables,[],[4718])).
% 164.85/165.15 cnf(10462,plain,
% 164.85/165.15 (~E(f334(a125,x104621),x104621)),
% 164.85/165.15 inference(rename_variables,[],[4648])).
% 164.85/165.15 cnf(10465,plain,
% 164.85/165.15 (~E(f334(a125,x104651),x104651)),
% 164.85/165.15 inference(rename_variables,[],[4648])).
% 164.85/165.15 cnf(10468,plain,
% 164.85/165.15 (~P107(f334(f334(f249(a919),x104681),f2(a919)))),
% 164.85/165.15 inference(rename_variables,[],[4713])).
% 164.85/165.15 cnf(10471,plain,
% 164.85/165.15 (~P107(f334(f334(f249(a919),x104711),f2(a919)))),
% 164.85/165.15 inference(rename_variables,[],[4713])).
% 164.85/165.15 cnf(10488,plain,
% 164.85/165.15 (~P107(f334(f334(f248(a919),f334(a125,x104881)),x104881))),
% 164.85/165.15 inference(rename_variables,[],[4719])).
% 164.85/165.15 cnf(10491,plain,
% 164.85/165.15 (~E(f334(f334(f161(x104911),x104912),x104913),x104913)),
% 164.85/165.15 inference(rename_variables,[],[4673])).
% 164.85/165.15 cnf(10497,plain,
% 164.85/165.15 (~P107(f334(f334(f249(a919),x104971),f2(a919)))),
% 164.85/165.15 inference(rename_variables,[],[4713])).
% 164.85/165.15 cnf(10500,plain,
% 164.85/165.15 (E(f35(x105001,x105002,x105003,x105004,x105005,x105006,x105007,x105008,x105009,a26),x105002)),
% 164.85/165.15 inference(rename_variables,[],[4631])).
% 164.85/165.15 cnf(10503,plain,
% 164.85/165.15 (E(f35(x105031,x105032,x105033,x105034,x105035,x105036,x105037,x105038,x105039,a26),x105032)),
% 164.85/165.15 inference(rename_variables,[],[4631])).
% 164.85/165.15 cnf(10510,plain,
% 164.85/165.15 (~P107(f334(f334(f249(a919),f334(f334(f89(a919),x105101),x105102)),x105102))),
% 164.85/165.15 inference(rename_variables,[],[4733])).
% 164.85/165.15 cnf(10513,plain,
% 164.85/165.15 (~P107(f334(f334(f249(a919),f334(f334(f89(a919),x105131),x105132)),x105132))),
% 164.85/165.15 inference(rename_variables,[],[4733])).
% 164.85/165.15 cnf(10520,plain,
% 164.85/165.15 (~E(x105201,f334(a125,x105201))),
% 164.85/165.15 inference(scs_inference,[],[4631,10427,10444,10500,4648,10430,10437,10451,10462,3314,3379,3343,3323,4673,3552,3467,4713,10468,10471,4710,4668,4718,10456,4719,4301,4716,3460,4702,4735,4733,10510,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337])).
% 164.85/165.15 cnf(10534,plain,
% 164.85/165.15 (~P107(f334(f334(f249(a919),x105341),x105341))),
% 164.85/165.15 inference(rename_variables,[],[4709])).
% 164.85/165.15 cnf(10537,plain,
% 164.85/165.15 (P107(f334(f334(f248(a919),f54(a919,x105371,x105372)),x105371))),
% 164.85/165.15 inference(rename_variables,[],[3938])).
% 164.85/165.15 cnf(10558,plain,
% 164.85/165.15 (E(f334(f44(a919),f334(f290(a919),x105581)),x105581)),
% 164.85/165.15 inference(rename_variables,[],[3377])).
% 164.85/165.15 cnf(10566,plain,
% 164.85/165.15 (~E(f334(a125,x105661),x105661)),
% 164.85/165.15 inference(rename_variables,[],[4648])).
% 164.85/165.15 cnf(10569,plain,
% 164.85/165.15 (~E(f334(a125,x105691),x105691)),
% 164.85/165.15 inference(rename_variables,[],[4648])).
% 164.85/165.15 cnf(10572,plain,
% 164.85/165.15 (~E(f334(a125,x105721),x105721)),
% 164.85/165.15 inference(rename_variables,[],[4648])).
% 164.85/165.15 cnf(10577,plain,
% 164.85/165.15 (P107(f334(f334(f249(a919),x105771),f334(a125,x105771)))),
% 164.85/165.15 inference(rename_variables,[],[3552])).
% 164.85/165.15 cnf(10586,plain,
% 164.85/165.15 (P107(f334(f334(f204(a26),x105861),x105861))),
% 164.85/165.15 inference(rename_variables,[],[3484])).
% 164.85/165.16 cnf(10593,plain,
% 164.85/165.16 (E(f35(x105931,x105932,x105933,x105934,x105935,x105936,x105937,x105938,x105939,a26),x105932)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(10596,plain,
% 164.85/165.16 (E(f35(x105961,x105962,x105963,x105964,x105965,x105966,x105967,x105968,x105969,a26),x105962)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(10613,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x106131),x106131))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(10620,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x106201),f126(x106201)),x106202))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(10649,plain,
% 164.85/165.16 (~E(f334(f334(f161(x106491),x106492),x106493),x106493)),
% 164.85/165.16 inference(rename_variables,[],[4673])).
% 164.85/165.16 cnf(10652,plain,
% 164.85/165.16 (~E(f334(a125,x106521),f2(a919))),
% 164.85/165.16 inference(rename_variables,[],[4660])).
% 164.85/165.16 cnf(10663,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x106631),x106631))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(10668,plain,
% 164.85/165.16 (~E(f334(a125,x106681),x106681)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(10675,plain,
% 164.85/165.16 (P107(f334(f334(f204(a26),x106751),x106751))),
% 164.85/165.16 inference(rename_variables,[],[3484])).
% 164.85/165.16 cnf(10688,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x106881),f334(a125,x106881)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(10709,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x107091),f126(x107091)),x107092))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(10728,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x107281),f126(x107281)),x107282))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(10735,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x107351),f126(x107351)),x107352))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(10743,plain,
% 164.85/165.16 (E(f334(f334(f258(a919),f334(f116(a919),a110)),x107431),f334(f334(f258(a919),f2(a919)),x107431))),
% 164.85/165.16 inference(scs_inference,[],[4631,10427,10444,10500,10503,10593,4648,10430,10437,10451,10462,10465,10566,10569,10572,4660,3314,3379,3343,3323,3952,3412,4673,10491,3377,4260,4738,3397,3846,3552,10577,10688,3467,4713,10468,10471,10497,4726,3921,4068,3511,3513,3487,4710,4668,4718,10456,10459,10620,10709,10728,4210,3484,10586,3485,3486,10613,4709,10534,3577,4001,3938,10537,4719,10488,4301,4716,4701,3460,3464,4703,4702,4735,3961,4733,10510,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978])).
% 164.85/165.16 cnf(10746,plain,
% 164.85/165.16 (~E(f334(a125,x107461),f2(a919))),
% 164.85/165.16 inference(rename_variables,[],[4660])).
% 164.85/165.16 cnf(10755,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x107551),f126(x107551)),x107552))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(10760,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x107601),f334(a125,x107601)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(10763,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x107631),f126(x107631)),x107632))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(10766,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x107661),f126(x107661)),x107662))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(10769,plain,
% 164.85/165.16 (~P107(f334(f71(x107691,x107692,f198(f926(x107691,a913))),x107693))),
% 164.85/165.16 inference(rename_variables,[],[4732])).
% 164.85/165.16 cnf(10772,plain,
% 164.85/165.16 (~P107(f334(f71(x107721,x107722,f198(f926(x107721,a913))),x107723))),
% 164.85/165.16 inference(rename_variables,[],[4732])).
% 164.85/165.16 cnf(10775,plain,
% 164.85/165.16 (~P107(f334(f334(f198(f926(x107751,f926(x107752,a913))),x107753),x107754))),
% 164.85/165.16 inference(rename_variables,[],[4736])).
% 164.85/165.16 cnf(10780,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x107801),f126(x107801)),x107802))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(10791,plain,
% 164.85/165.16 (~E(f334(a125,x107911),x107911)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(10816,plain,
% 164.85/165.16 (P107(f334(f334(f204(a26),x108161),x108161))),
% 164.85/165.16 inference(rename_variables,[],[3484])).
% 164.85/165.16 cnf(10819,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x108191),f334(f334(f90(a919),x108191),x108191)))),
% 164.85/165.16 inference(rename_variables,[],[3745])).
% 164.85/165.16 cnf(10822,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x108221),f334(f334(f90(a919),x108221),x108221)))),
% 164.85/165.16 inference(rename_variables,[],[3745])).
% 164.85/165.16 cnf(10825,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x108251),f334(a125,f334(f334(f89(a919),x108252),x108251))))),
% 164.85/165.16 inference(rename_variables,[],[3931])).
% 164.85/165.16 cnf(10830,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x108301),f334(a125,x108301)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(10833,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x108331),f334(a125,x108331)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(10836,plain,
% 164.85/165.16 (P107(f334(f334(f336(x108361),x108362),f256(f926(x108361,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3636])).
% 164.85/165.16 cnf(10855,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(a125,x108551)),x108551))),
% 164.85/165.16 inference(rename_variables,[],[4719])).
% 164.85/165.16 cnf(10858,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(a125,x108581)),x108581))),
% 164.85/165.16 inference(rename_variables,[],[4719])).
% 164.85/165.16 cnf(10861,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),f334(f334(f89(a919),x108611),x108612)),x108612))),
% 164.85/165.16 inference(rename_variables,[],[4733])).
% 164.85/165.16 cnf(10864,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),f334(f334(f89(a919),x108641),x108642)),x108642))),
% 164.85/165.16 inference(rename_variables,[],[4733])).
% 164.85/165.16 cnf(10867,plain,
% 164.85/165.16 (P107(f334(f256(f926(x108671,a913)),x108672))),
% 164.85/165.16 inference(rename_variables,[],[3545])).
% 164.85/165.16 cnf(10870,plain,
% 164.85/165.16 (E(f334(f44(a919),f334(f290(a919),x108701)),x108701)),
% 164.85/165.16 inference(rename_variables,[],[3377])).
% 164.85/165.16 cnf(10873,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x108731),f334(a125,x108731)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(10880,plain,
% 164.85/165.16 (P107(f334(f334(f204(a26),x108801),x108801))),
% 164.85/165.16 inference(rename_variables,[],[3484])).
% 164.85/165.16 cnf(10885,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x108851),x108851))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(10894,plain,
% 164.85/165.16 (E(f35(x108941,x108942,x108943,x108944,x108945,x108946,x108947,x108948,x108949,a26),x108942)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(10897,plain,
% 164.85/165.16 (P107(f334(f256(f926(x108971,a913)),x108972))),
% 164.85/165.16 inference(rename_variables,[],[3545])).
% 164.85/165.16 cnf(10900,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),f2(a919)),x109001))),
% 164.85/165.16 inference(rename_variables,[],[3505])).
% 164.85/165.16 cnf(10903,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x109031,a913)),f198(f926(x109031,a913))),x109032))),
% 164.85/165.16 inference(rename_variables,[],[3930])).
% 164.85/165.16 cnf(10906,plain,
% 164.85/165.16 (P107(f334(f256(f926(x109061,a913)),x109062))),
% 164.85/165.16 inference(rename_variables,[],[3545])).
% 164.85/165.16 cnf(10909,plain,
% 164.85/165.16 (P107(f334(f256(f926(x109091,a913)),x109092))),
% 164.85/165.16 inference(rename_variables,[],[3545])).
% 164.85/165.16 cnf(10911,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(f334(f90(a919),f334(a125,x109111)),f334(a125,x109111))),x109111))),
% 164.85/165.16 inference(scs_inference,[],[4631,10427,10444,10500,10503,10593,10596,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,4660,10652,3314,3379,3343,3323,3952,3412,4673,10491,3377,10558,4260,4738,3397,3846,3783,3552,10577,10688,10760,10830,10833,3933,3467,4713,10468,10471,10497,4726,3921,3686,4068,3511,3513,3487,4710,4668,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,4210,3484,10586,10675,10816,3485,3486,10613,10663,4709,10534,3636,3545,10867,10897,10906,3577,4001,3938,10537,4719,10488,10855,3505,4301,4716,4701,3460,3464,4703,4702,4732,10769,4737,3930,3745,10819,10822,4735,4736,3961,4733,10510,10513,10861,3931,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473])).
% 164.85/165.16 cnf(10912,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x109121),f334(f334(f90(a919),x109121),x109121)))),
% 164.85/165.16 inference(rename_variables,[],[3745])).
% 164.85/165.16 cnf(10916,plain,
% 164.85/165.16 (E(f334(f178(x109161),f35(x109162,f334(f334(f144(x109161),f334(f178(x109161),x109163)),f334(f334(f161(x109161),x109164),f126(x109161))),x109165,x109166,x109167,x109168,x109169,x1091610,x1091611,a26)),f334(f334(f161(x109161),x109164),x109163))),
% 164.85/165.16 inference(scs_inference,[],[4631,10427,10444,10500,10503,10593,10596,10894,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,4660,10652,3314,3379,3343,3323,3952,3412,4673,10491,3377,10558,4260,4738,3397,3846,3783,3552,10577,10688,10760,10830,10833,3933,3467,4713,10468,10471,10497,4726,3921,3686,4068,3511,3513,3487,4710,4668,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,4210,3484,10586,10675,10816,3485,3486,10613,10663,4709,10534,3636,3545,10867,10897,10906,3577,4001,3938,10537,4719,10488,10855,3505,4301,4716,4701,3460,3464,4703,4702,4732,10769,4737,3930,3745,10819,10822,4735,4736,3961,4733,10510,10513,10861,3931,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511])).
% 164.85/165.16 cnf(10917,plain,
% 164.85/165.16 (E(f35(x109171,x109172,x109173,x109174,x109175,x109176,x109177,x109178,x109179,a26),x109172)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(10921,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(a125,f334(a125,f334(f334(f89(a919),x109211),x109212)))),f334(a125,x109212)))),
% 164.85/165.16 inference(scs_inference,[],[4631,10427,10444,10500,10503,10593,10596,10894,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,4660,10652,3314,3379,3343,3323,3952,3412,4673,10491,3377,10558,4260,4738,3397,3846,3783,3552,10577,10688,10760,10830,10833,10873,3933,3467,4713,10468,10471,10497,4726,3921,3686,4068,3511,3513,3487,4710,4668,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,4210,3484,10586,10675,10816,3485,3486,10613,10663,4709,10534,3636,3545,10867,10897,10906,3577,4001,3938,10537,4719,10488,10855,3505,4301,4716,4701,3460,3464,4703,4702,4732,10769,4737,3930,3745,10819,10822,4735,4736,3961,4733,10510,10513,10861,3931,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515])).
% 164.85/165.16 cnf(10954,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x109541),x109541))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(10965,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x109651),f126(x109651)),x109652))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(10974,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x109741),f334(a125,x109741)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(10976,plain,
% 164.85/165.16 (P107(f334(f334(f249(a1),f334(f334(f23(a1),x109761),f87(a1))),x109761))),
% 164.85/165.16 inference(scs_inference,[],[4631,10427,10444,10500,10503,10593,10596,10894,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,4660,10652,3314,3379,3343,3323,3952,3412,4673,10491,3377,10558,4260,4118,4738,3397,3846,3783,3552,10577,10688,10760,10830,10833,10873,3933,3467,4713,10468,10471,10497,4726,3921,3686,4068,3511,3513,3487,4710,4668,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,4210,3484,10586,10675,10816,3485,10954,3486,10613,10663,10885,4709,10534,3636,4722,3545,10867,10897,10906,3577,4001,3938,10537,4719,10488,10855,10858,3505,4301,4716,4701,4704,3460,3464,4703,4702,4732,10769,4737,3930,3745,10819,10822,4735,4736,3961,4733,10510,10513,10861,3931,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781])).
% 164.85/165.16 cnf(10977,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x109771),x109771))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(10982,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x109821),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(10995,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x109951),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(10998,plain,
% 164.85/165.16 (~P107(f334(f334(f249(f926(x109981,a913)),x109982),f198(f926(x109981,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4730])).
% 164.85/165.16 cnf(11001,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x110011),x110011))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(11004,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x110041),x110041))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(11019,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x110191),x110191))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(11028,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x110281),x110282),f198(f926(x110281,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11035,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x110351),x110351))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(11038,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x110381),x110382),f198(f926(x110381,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11041,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x110411,a913)),f334(f317(x110412,x110411,x110413),f334(f318(x110412,x110411,x110413),x110414))),x110414))),
% 164.85/165.16 inference(rename_variables,[],[4357])).
% 164.85/165.16 cnf(11048,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x110481,a913)),f334(f182(x110481),f334(f146(x110481,x110482),x110483))),f334(f182(x110481),x110483)))),
% 164.85/165.16 inference(rename_variables,[],[4127])).
% 164.85/165.16 cnf(11051,plain,
% 164.85/165.16 (E(f334(f317(x110511,x110511,f5(x110511)),x110512),x110512)),
% 164.85/165.16 inference(rename_variables,[],[3541])).
% 164.85/165.16 cnf(11056,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),f2(a919)),x110561))),
% 164.85/165.16 inference(rename_variables,[],[3505])).
% 164.85/165.16 cnf(11059,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x110591),x110591))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(11062,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x110621),x110621))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(11071,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x110711),x110711))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(11082,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x110821),f334(f334(f90(a919),x110821),x110821)))),
% 164.85/165.16 inference(rename_variables,[],[3745])).
% 164.85/165.16 cnf(11088,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x110881),f334(a125,f334(f334(f89(a919),x110882),x110881))))),
% 164.85/165.16 inference(rename_variables,[],[3931])).
% 164.85/165.16 cnf(11095,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x110951),x110951))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(11098,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x110981),x110981))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(11101,plain,
% 164.85/165.16 (~E(f334(a125,x111011),x111011)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(11106,plain,
% 164.85/165.16 (P107(f334(f334(f336(x111061),x111062),f256(f926(x111061,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3636])).
% 164.85/165.16 cnf(11111,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x111111),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(11126,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),f2(a919)),x111261))),
% 164.85/165.16 inference(rename_variables,[],[3505])).
% 164.85/165.16 cnf(11133,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x111331),x111331))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(11142,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x111421),x111422),f198(f926(x111421,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11150,plain,
% 164.85/165.16 (P107(f334(f334(f336(x111501),x111502),f256(f926(x111501,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3636])).
% 164.85/165.16 cnf(11153,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(f920(x111531),f920(x111531))),f334(f334(f266(f920(x111531),f920(x111531)),x111532),f126(x111531))),f155(x111531,x111533)))),
% 164.85/165.16 inference(rename_variables,[],[4738])).
% 164.85/165.16 cnf(11159,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(x111591,x111591)),x111592),f255(x111591,f198(f926(x111591,a913)))))),
% 164.85/165.16 inference(scs_inference,[],[4743,4631,10427,10444,10500,10503,10593,10596,10894,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,4660,10652,3314,3379,3343,3323,3952,3541,3412,4673,10491,3377,10558,4260,4118,4738,3397,3677,3846,3783,3997,3552,10577,10688,10760,10830,10833,10873,10974,3933,3467,4713,10468,10471,10497,10982,10995,4726,3921,3686,4068,3511,3513,3487,4710,4668,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,4222,4127,11048,3847,4210,4730,3484,10586,10675,10816,3485,10954,11001,11004,11035,11059,11095,3486,10613,10663,10885,10977,4709,10534,11019,11062,3636,10836,11106,4722,11028,11038,11142,3545,10867,10897,10906,3577,4001,3938,10537,4719,10488,10855,10858,3505,10900,11056,4301,4716,4008,4701,4704,3460,3464,4703,4702,4732,10769,4737,3930,3745,10819,10822,10912,11082,4735,4736,4357,3961,4733,10510,10513,10861,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060])).
% 164.85/165.16 cnf(11160,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x111601),x111602),f198(f926(x111601,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11162,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x111621),x111622),f334(f318(x111621,x111623,x111624),f198(f926(x111623,a913)))))),
% 164.85/165.16 inference(scs_inference,[],[4743,4631,10427,10444,10500,10503,10593,10596,10894,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,4660,10652,3314,3379,3343,3323,3952,3541,3412,4673,10491,3377,10558,4260,4118,4738,3397,3677,3846,3783,3997,3552,10577,10688,10760,10830,10833,10873,10974,3933,3467,4713,10468,10471,10497,10982,10995,4726,3921,3686,4068,3511,3513,3487,4710,4668,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,4222,4127,11048,3847,4210,4730,3484,10586,10675,10816,3485,10954,11001,11004,11035,11059,11095,3486,10613,10663,10885,10977,4709,10534,11019,11062,3636,10836,11106,4722,11028,11038,11142,11160,3545,10867,10897,10906,3577,4001,3938,10537,4719,10488,10855,10858,3505,10900,11056,4301,4716,4008,4701,4704,3460,3464,4703,4702,4732,10769,4737,3930,3745,10819,10822,10912,11082,4735,4736,4357,3961,4733,10510,10513,10861,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091])).
% 164.85/165.16 cnf(11163,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x111631),x111632),f198(f926(x111631,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11166,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x111661,a913)),x111662),f334(f334(f316(x111661),x111663),x111662)))),
% 164.85/165.16 inference(rename_variables,[],[3928])).
% 164.85/165.16 cnf(11169,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x111691),x111691))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(11172,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x111721,a913)),x111722),f334(f334(f316(x111721),x111723),x111722)))),
% 164.85/165.16 inference(rename_variables,[],[3928])).
% 164.85/165.16 cnf(11175,plain,
% 164.85/165.16 (E(f334(f317(x111751,x111751,f5(x111751)),x111752),x111752)),
% 164.85/165.16 inference(rename_variables,[],[3541])).
% 164.85/165.16 cnf(11178,plain,
% 164.85/165.16 (E(f35(x111781,x111782,x111783,x111784,x111785,x111786,x111787,x111788,x111789,a26),x111782)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11181,plain,
% 164.85/165.16 (E(f35(x111811,x111812,x111813,x111814,x111815,x111816,x111817,x111818,x111819,a26),x111812)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11190,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x111901,a913)),x111902),f334(f334(f316(x111901),x111903),x111902)))),
% 164.85/165.16 inference(rename_variables,[],[3928])).
% 164.85/165.16 cnf(11203,plain,
% 164.85/165.16 (~E(f334(a125,x112031),f2(a919))),
% 164.85/165.16 inference(rename_variables,[],[4660])).
% 164.85/165.16 cnf(11206,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x112061),f126(x112061)),x112062))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(11210,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(a919,a919)),f334(f334(f266(a919,a919),f334(a125,x112101)),x112101)),f314(a919,a324)))),
% 164.85/165.16 inference(scs_inference,[],[4743,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,4660,10652,10746,3314,3379,3343,3323,3952,3541,11051,3412,4673,10491,3377,10558,4260,4118,4738,3397,3677,3846,3783,3997,3552,10577,10688,10760,10830,10833,10873,10974,3933,3467,4713,10468,10471,10497,10982,10995,4726,3921,3686,4068,3511,3513,3487,4710,4668,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,4222,4127,11048,3847,4210,4730,3484,10586,10675,10816,3485,10954,11001,11004,11035,11059,11095,11133,3486,10613,10663,10885,10977,4709,10534,11019,11062,3636,10836,11106,11150,4722,11028,11038,11142,11160,3545,10867,10897,10906,3577,4001,3938,10537,4719,10488,10855,10858,3505,10900,11056,4301,4716,4008,4701,4704,3460,3464,4703,4702,4732,10769,4737,4084,3928,11166,11172,3930,3745,10819,10822,10912,11082,4735,4736,4357,3961,4733,10510,10513,10861,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521])).
% 164.85/165.16 cnf(11219,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x112191),f334(a125,x112191)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(11229,plain,
% 164.85/165.16 (~E(f334(f317(x112291,f926(x112291,a913),x112292),x112293),f334(f315(x112291),x112293))),
% 164.85/165.16 inference(rename_variables,[],[4720])).
% 164.85/165.16 cnf(11232,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x112321),x112322),f198(f926(x112321,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11235,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x112351),x112352),f198(f926(x112351,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11238,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(x112381,x112381)),f334(f334(f266(x112381,x112381),x112382),x112383)),f163(x112381,f126(f926(x112381,a919)))))),
% 164.85/165.16 inference(rename_variables,[],[4737])).
% 164.85/165.16 cnf(11241,plain,
% 164.85/165.16 (P107(f334(f334(f336(f925(x112411,x112411)),f334(f334(f266(x112411,x112411),x112412),x112412)),f314(x112411,x112413)))),
% 164.85/165.16 inference(rename_variables,[],[4118])).
% 164.85/165.16 cnf(11244,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x112441,a913)),f334(f182(x112441),f186(x112441,x112442,x112443))),f334(f182(x112441),x112442)))),
% 164.85/165.16 inference(rename_variables,[],[4176])).
% 164.85/165.16 cnf(11247,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x112471,a913)),x112472),f256(f926(x112471,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3864])).
% 164.85/165.16 cnf(11263,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x112631,a913)),f198(f926(x112631,a913))),x112632))),
% 164.85/165.16 inference(rename_variables,[],[3930])).
% 164.85/165.16 cnf(11274,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(f920(x112741),f920(x112741))),f334(f334(f266(f920(x112741),f920(x112741)),x112742),f126(x112741))),f157(x112741,x112743)))),
% 164.85/165.16 inference(rename_variables,[],[4739])).
% 164.85/165.16 cnf(11285,plain,
% 164.85/165.16 (~E(f334(a125,x112851),x112851)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(11288,plain,
% 164.85/165.16 (~E(f334(a125,x112881),x112881)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(11295,plain,
% 164.85/165.16 (~E(f334(a125,x112951),f2(a919))),
% 164.85/165.16 inference(rename_variables,[],[4660])).
% 164.85/165.16 cnf(11297,plain,
% 164.85/165.16 (E(f334(x112971,f334(f101(x112972,x112973,f256(f926(x112972,a913)),x112971),f334(x112971,x112974))),f334(x112971,x112974))),
% 164.85/165.16 inference(scs_inference,[],[4743,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,4660,10652,10746,11203,3940,3314,3379,3343,3323,3952,3541,11051,3412,4116,4673,10491,4720,3377,10558,4260,4118,11241,4738,11153,4739,3397,3677,3846,3783,3997,3552,10577,10688,10760,10830,10833,10873,10974,3933,3467,4713,10468,10471,10497,10982,10995,11111,4726,3921,3686,4068,3511,3513,3487,4710,4668,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,4222,4127,11048,4176,3847,4210,3864,4730,3484,10586,10675,10816,3485,10954,11001,11004,11035,11059,11095,11133,3486,10613,10663,10885,10977,4709,10534,11019,11062,3636,10836,11106,11150,4722,11028,11038,11142,11160,11163,11232,3545,10867,10897,10906,3577,4001,3938,10537,4719,10488,10855,10858,3505,10900,11056,4301,4716,4008,4701,4704,3460,3464,4703,4702,4732,10769,4737,4084,3928,11166,11172,3930,10903,3745,10819,10822,10912,11082,4735,4736,4357,3961,4733,10510,10513,10861,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776])).
% 164.85/165.16 cnf(11300,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x113001,a913)),x113002),x113002))),
% 164.85/165.16 inference(rename_variables,[],[3779])).
% 164.85/165.16 cnf(11307,plain,
% 164.85/165.16 (~E(f334(a125,x113071),x113071)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(11310,plain,
% 164.85/165.16 (~E(f334(a125,x113101),x113101)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(11315,plain,
% 164.85/165.16 (P23(x113151,x113151,f5(x113151),x113152)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(11320,plain,
% 164.85/165.16 (~E(f334(f317(x113201,f926(x113201,a913),x113202),x113203),f334(f315(x113201),x113203))),
% 164.85/165.16 inference(rename_variables,[],[4720])).
% 164.85/165.16 cnf(11325,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x113251,a913)),x113252),f256(f926(x113251,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3864])).
% 164.85/165.16 cnf(11341,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x113411),x113412),f198(f926(x113411,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11344,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(a125,x113441)),x113441))),
% 164.85/165.16 inference(rename_variables,[],[4719])).
% 164.85/165.16 cnf(11349,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x113491),x113492),f198(f926(x113491,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11362,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(a125,x113621)),x113621))),
% 164.85/165.16 inference(rename_variables,[],[4719])).
% 164.85/165.16 cnf(11365,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x113651),x113652),f198(f926(x113651,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11378,plain,
% 164.85/165.16 (P107(f334(f334(f336(f925(x113781,x113781)),f334(f334(f266(x113781,x113781),x113782),x113782)),f314(x113781,x113783)))),
% 164.85/165.16 inference(rename_variables,[],[4118])).
% 164.85/165.16 cnf(11381,plain,
% 164.85/165.16 (P107(f334(f334(f336(x113811),x113812),f256(f926(x113811,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3636])).
% 164.85/165.16 cnf(11386,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(f920(x113861),f920(x113861))),f334(f334(f266(f920(x113861),f920(x113861)),x113862),f126(x113861))),f155(x113861,x113863)))),
% 164.85/165.16 inference(rename_variables,[],[4738])).
% 164.85/165.16 cnf(11389,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(f920(x113891),f920(x113891))),f334(f334(f266(f920(x113891),f920(x113891)),x113892),f126(x113891))),f157(x113891,x113893)))),
% 164.85/165.16 inference(rename_variables,[],[4739])).
% 164.85/165.16 cnf(11392,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(f920(x113921),f920(x113921))),f334(f334(f266(f920(x113921),f920(x113921)),x113922),f126(x113921))),f167(x113921,x113923)))),
% 164.85/165.16 inference(rename_variables,[],[4740])).
% 164.85/165.16 cnf(11397,plain,
% 164.85/165.16 (~P107(f334(f334(f249(f926(x113971,a913)),x113972),f198(f926(x113971,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4730])).
% 164.85/165.16 cnf(11400,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x114001),x114002),f198(f926(x114001,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11407,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x114071,a913)),x114072),f256(f926(x114071,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3864])).
% 164.85/165.16 cnf(11410,plain,
% 164.85/165.16 (~P107(f334(f334(f198(f926(x114101,f926(x114102,a913))),x114103),x114104))),
% 164.85/165.16 inference(rename_variables,[],[4736])).
% 164.85/165.16 cnf(11419,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x114191),x114192),f198(f926(x114191,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11422,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(x114221,x114221)),f334(f334(f266(x114221,x114221),x114222),x114223)),f163(x114221,f126(f926(x114221,a919)))))),
% 164.85/165.16 inference(rename_variables,[],[4737])).
% 164.85/165.16 cnf(11425,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x114251,a913)),x114252),x114252))),
% 164.85/165.16 inference(rename_variables,[],[3779])).
% 164.85/165.16 cnf(11428,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x114281),x114282),f198(f926(x114281,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11431,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x114311,a913)),f198(f926(x114311,a913))),x114312))),
% 164.85/165.16 inference(rename_variables,[],[3930])).
% 164.85/165.16 cnf(11434,plain,
% 164.85/165.16 (P107(f334(f334(f336(f925(x114341,x114341)),f334(f334(f266(x114341,x114341),x114342),x114342)),f314(x114341,x114343)))),
% 164.85/165.16 inference(rename_variables,[],[4118])).
% 164.85/165.16 cnf(11436,plain,
% 164.85/165.16 (~P35(x114361,x114362,x114363,f334(f334(f164(x114364,x114361),x114365),f334(a125,f126(x114364))),f126(x114362))),
% 164.85/165.16 inference(scs_inference,[],[4743,3717,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,4660,10652,10746,11203,3940,3314,3379,3343,3323,3952,3541,11051,3412,4116,4673,10491,4720,11229,3587,3377,10558,4260,4118,11241,11378,4738,11153,11386,4739,11274,4740,3397,3677,3846,3783,3997,3552,10577,10688,10760,10830,10833,10873,10974,11219,3933,3467,4713,10468,10471,10497,10982,10995,11111,4726,3921,3686,4068,3511,3513,3487,4710,4668,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,4222,4127,11048,4176,3847,4210,3864,11247,11325,4730,10998,3484,10586,10675,10816,3485,10954,11001,11004,11035,11059,11095,11133,3486,10613,10663,10885,10977,4709,10534,11019,11062,3636,10836,11106,11150,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,3545,10867,10897,10906,3577,4001,3938,10537,4719,10488,10855,10858,11344,3505,10900,11056,4301,4716,4008,4701,4704,3460,3464,4703,4702,4732,10769,4737,11238,4084,3928,11166,11172,3779,11300,3930,10903,11263,3745,10819,10822,10912,11082,4735,4736,10775,4357,3961,4733,10510,10513,10861,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463])).
% 164.85/165.16 cnf(11440,plain,
% 164.85/165.16 (P35(x114401,x114402,x114403,f334(f334(f164(x114404,x114401),x114405),f35(x114406,f126(x114404),x114407,x114408,x114409,x1144010,x1144011,x1144012,x1144013,a26)),f126(x114402))),
% 164.85/165.16 inference(scs_inference,[],[4743,3717,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,4660,10652,10746,11203,3940,3314,3379,3343,3323,3952,3541,11051,3412,4116,4673,10491,4720,11229,3587,3377,10558,4260,4118,11241,11378,4738,11153,11386,4739,11274,4740,3397,3677,3846,3783,3997,3552,10577,10688,10760,10830,10833,10873,10974,11219,3933,3467,4713,10468,10471,10497,10982,10995,11111,4726,3921,3686,4068,3511,3513,3487,4710,4668,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,4222,4127,11048,4176,3847,4210,3864,11247,11325,4730,10998,3484,10586,10675,10816,3485,10954,11001,11004,11035,11059,11095,11133,3486,10613,10663,10885,10977,4709,10534,11019,11062,3636,10836,11106,11150,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,3545,10867,10897,10906,3577,4001,3938,10537,4719,10488,10855,10858,11344,3505,10900,11056,4301,4716,4008,4701,4704,3460,3464,4703,4702,4732,10769,4737,11238,4084,3928,11166,11172,3779,11300,3930,10903,11263,3745,10819,10822,10912,11082,4735,4736,10775,4357,3961,4733,10510,10513,10861,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489])).
% 164.85/165.16 cnf(11445,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(f920(x114451),f920(x114451))),f334(f334(f266(f920(x114451),f920(x114451)),x114452),f126(x114451))),f167(x114451,x114453)))),
% 164.85/165.16 inference(rename_variables,[],[4740])).
% 164.85/165.16 cnf(11452,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(f920(x114521),f920(x114521))),f334(f334(f266(f920(x114521),f920(x114521)),f126(x114521)),x114522)),f155(x114521,x114523)))),
% 164.85/165.16 inference(rename_variables,[],[4741])).
% 164.85/165.16 cnf(11460,plain,
% 164.85/165.16 (P107(f334(f334(f336(x114601),x114602),f256(f926(x114601,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3636])).
% 164.85/165.16 cnf(11465,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x114651,a913)),f198(f926(x114651,a913))),x114652))),
% 164.85/165.16 inference(rename_variables,[],[3930])).
% 164.85/165.16 cnf(11468,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x114681),x114682),f198(f926(x114681,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11471,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x114711,a913)),x114712),f256(f926(x114711,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3864])).
% 164.85/165.16 cnf(11476,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x114761,a913)),f198(f926(x114761,a913))),x114762))),
% 164.85/165.16 inference(rename_variables,[],[3930])).
% 164.85/165.16 cnf(11478,plain,
% 164.85/165.16 (~P107(f334(f75(a919,x114781,x114782,x114783,f256(f926(a919,a913))),x114784))),
% 164.85/165.16 inference(scs_inference,[],[4743,3717,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,4660,10652,10746,11203,3940,3314,3379,3343,3323,3952,3541,11051,3412,4116,4673,10491,4720,11229,3587,3377,10558,4260,4118,11241,11378,4738,11153,11386,4739,11274,4740,11392,4741,4742,3397,3677,3846,3783,3997,3552,10577,10688,10760,10830,10833,10873,10974,11219,3933,3467,4713,10468,10471,10497,10982,10995,11111,4726,3921,3686,4068,3511,3513,3487,4710,4668,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,4222,4127,11048,4176,3847,4210,3864,11247,11325,11407,4730,10998,11397,3484,10586,10675,10816,3485,10954,11001,11004,11035,11059,11095,11133,3486,10613,10663,10885,10977,4709,10534,11019,11062,3636,10836,11106,11150,11381,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,3545,10867,10897,10906,3577,4001,3938,10537,4719,10488,10855,10858,11344,3505,10900,11056,4301,4716,4008,4701,4704,3460,3464,4703,4702,4732,10769,4737,11238,4084,3928,11166,11172,3779,11300,3930,10903,11263,11431,11465,3745,10819,10822,10912,11082,4735,4736,10775,4357,4264,3961,4733,10510,10513,10861,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760])).
% 164.85/165.16 cnf(11489,plain,
% 164.85/165.16 (P107(f334(f256(f926(x114891,a913)),x114892))),
% 164.85/165.16 inference(rename_variables,[],[3545])).
% 164.85/165.16 cnf(11497,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(f920(x114971),f920(x114971))),f334(f334(f266(f920(x114971),f920(x114971)),x114972),f126(x114971))),f155(x114971,x114973)))),
% 164.85/165.16 inference(rename_variables,[],[4738])).
% 164.85/165.16 cnf(11500,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(f920(x115001),f920(x115001))),f334(f334(f266(f920(x115001),f920(x115001)),x115002),f126(x115001))),f157(x115001,x115003)))),
% 164.85/165.16 inference(rename_variables,[],[4739])).
% 164.85/165.16 cnf(11503,plain,
% 164.85/165.16 (~E(f334(f334(f161(x115031),x115032),x115033),x115033)),
% 164.85/165.16 inference(rename_variables,[],[4673])).
% 164.85/165.16 cnf(11506,plain,
% 164.85/165.16 (~E(f334(a125,x115061),x115061)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(11509,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x115091),x115092),f198(f926(x115091,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11514,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x115141),x115142),f198(f926(x115141,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11517,plain,
% 164.85/165.16 (P107(f334(f334(f336(f925(f920(x115171),f920(x115171))),f334(f334(f266(f920(x115171),f920(x115171)),x115172),x115172)),f168(x115171,f314(x115171,x115173))))),
% 164.85/165.16 inference(rename_variables,[],[4253])).
% 164.85/165.16 cnf(11520,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(f920(x115201),f920(x115201))),f334(f334(f266(f920(x115201),f920(x115201)),x115202),f126(x115201))),f155(x115201,x115203)))),
% 164.85/165.16 inference(rename_variables,[],[4738])).
% 164.85/165.16 cnf(11530,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(x115301,x115301)),f334(f334(f266(x115301,x115301),x115302),x115303)),f163(x115301,f126(f926(x115301,a919)))))),
% 164.85/165.16 inference(rename_variables,[],[4737])).
% 164.85/165.16 cnf(11533,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x115331),x115332),f198(f926(x115331,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11536,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x115361),x115362),f198(f926(x115361,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11539,plain,
% 164.85/165.16 (P107(f334(f334(f336(x115391),x115392),f256(f926(x115391,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3636])).
% 164.85/165.16 cnf(11542,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x115421),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(11547,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(x115471,x115471)),f334(f334(f266(x115471,x115471),x115472),x115473)),f163(x115471,f126(f926(x115471,a919)))))),
% 164.85/165.16 inference(rename_variables,[],[4737])).
% 164.85/165.16 cnf(11550,plain,
% 164.85/165.16 (~E(f334(f317(x115501,f926(x115501,a913),x115502),x115503),f334(f315(x115501),x115503))),
% 164.85/165.16 inference(rename_variables,[],[4720])).
% 164.85/165.16 cnf(11553,plain,
% 164.85/165.16 (~E(f334(f317(x115531,f926(x115531,a913),x115532),x115533),f334(f315(x115531),x115533))),
% 164.85/165.16 inference(rename_variables,[],[4720])).
% 164.85/165.16 cnf(11558,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(f920(x115581),f920(x115581))),f334(f334(f266(f920(x115581),f920(x115581)),x115582),f126(x115581))),f155(x115581,x115583)))),
% 164.85/165.16 inference(rename_variables,[],[4738])).
% 164.85/165.16 cnf(11564,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(f920(x115641),f920(x115641))),f334(f334(f266(f920(x115641),f920(x115641)),x115642),f126(x115641))),f155(x115641,x115643)))),
% 164.85/165.16 inference(rename_variables,[],[4738])).
% 164.85/165.16 cnf(11567,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x115671),x115672),f198(f926(x115671,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11569,plain,
% 164.85/165.16 (P107(f334(f334(f336(f925(x115691,x115692)),f334(f334(f266(x115691,x115692),f334(x115693,x115694)),f334(x115695,x115694))),f334(f317(f925(x115696,x115696),f925(x115691,x115692),f271(x115696,x115691,x115696,x115692,x115693,x115695)),f314(x115696,x115697))))),
% 164.85/165.16 inference(scs_inference,[],[4743,3717,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,4660,10652,10746,11203,3940,3314,3379,3343,3323,3952,3541,11051,3412,4116,4673,10491,10649,4720,11229,11320,11550,3587,3377,10558,4260,4118,11241,11378,11434,4738,11153,11386,11497,11520,11558,4739,11274,11389,11500,4740,11392,4741,11452,4742,3397,3677,3846,3783,3997,3552,10577,10688,10760,10830,10833,10873,10974,11219,3933,3467,4713,10468,10471,10497,10982,10995,11111,4726,3921,3686,4068,3511,3513,3487,4710,4668,4253,11517,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,4222,4127,11048,4176,3847,4210,3864,11247,11325,11407,4730,10998,11397,3484,10586,10675,10816,3485,10954,11001,11004,11035,11059,11095,11133,3486,10613,10663,10885,10977,4709,10534,11019,11062,3636,10836,11106,11150,11381,11460,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,3545,10867,10897,10906,10909,3577,4001,3938,10537,4719,10488,10855,10858,11344,3505,10900,11056,4301,4716,4008,4701,4704,3460,3464,4703,4702,4732,10769,4737,11238,11422,11530,4084,3928,11166,11172,3779,11300,3930,10903,11263,11431,11465,3745,10819,10822,10912,11082,4735,4736,10775,4357,4264,3961,4733,10510,10513,10861,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251])).
% 164.85/165.16 cnf(11572,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x115721),x115722),f198(f926(x115721,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11575,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x115751),x115752),f198(f926(x115751,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11578,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x115781),x115782),f198(f926(x115781,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11581,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x115811),x115812),f198(f926(x115811,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11584,plain,
% 164.85/165.16 (P107(f334(f334(f336(x115841),f334(x115842,x115843)),f334(f317(x115844,x115841,x115842),f256(f926(x115844,a913)))))),
% 164.85/165.16 inference(rename_variables,[],[4084])).
% 164.85/165.16 cnf(11587,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(x115871,x115871)),f334(f334(f266(x115871,x115871),x115872),x115873)),f163(x115871,f126(f926(x115871,a919)))))),
% 164.85/165.16 inference(rename_variables,[],[4737])).
% 164.85/165.16 cnf(11593,plain,
% 164.85/165.16 (E(f35(x115931,x115932,x115933,x115934,x115935,x115936,x115937,x115938,x115939,a26),x115932)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11596,plain,
% 164.85/165.16 (E(f35(x115961,x115962,x115963,x115964,x115965,x115966,x115967,x115968,x115969,a26),x115962)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11599,plain,
% 164.85/165.16 (~E(f334(a125,x115991),x115991)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(11606,plain,
% 164.85/165.16 (~E(f334(a125,x116061),x116061)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(11611,plain,
% 164.85/165.16 (E(f35(x116111,x116112,x116113,x116114,x116115,x116116,x116117,x116118,x116119,a26),x116112)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11614,plain,
% 164.85/165.16 (E(f35(x116141,x116142,x116143,x116144,x116145,x116146,x116147,x116148,x116149,a26),x116142)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11620,plain,
% 164.85/165.16 (~E(f334(a125,x116201),x116201)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(11625,plain,
% 164.85/165.16 (~E(f334(f334(f89(a1),x116251),x116251),a110)),
% 164.85/165.16 inference(rename_variables,[],[4671])).
% 164.85/165.16 cnf(11632,plain,
% 164.85/165.16 (E(f334(f334(f23(a919),f2(a919)),x116321),f2(a919))),
% 164.85/165.16 inference(rename_variables,[],[3398])).
% 164.85/165.16 cnf(11635,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x116351),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(11642,plain,
% 164.85/165.16 (E(f334(f334(f89(a1),f334(f334(f90(a1),x116421),f334(f334(f45(a1),x116422),x116421))),f54(a1,x116422,x116421)),x116422)),
% 164.85/165.16 inference(rename_variables,[],[4033])).
% 164.85/165.16 cnf(11652,plain,
% 164.85/165.16 (E(f35(x116521,x116522,x116523,x116524,x116525,x116526,x116527,x116528,x116529,a26),x116522)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11659,plain,
% 164.85/165.16 (E(f35(x116591,x116592,x116593,x116594,x116595,x116596,x116597,x116598,x116599,a26),x116592)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11662,plain,
% 164.85/165.16 (E(f35(x116621,x116622,x116623,x116624,x116625,x116626,x116627,x116628,x116629,a26),x116622)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11665,plain,
% 164.85/165.16 (E(f35(x116651,x116652,x116653,x116654,x116655,x116656,x116657,x116658,x116659,a26),x116652)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11668,plain,
% 164.85/165.16 (E(f35(x116681,x116682,x116683,x116684,x116685,x116686,x116687,x116688,x116689,a26),x116682)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11671,plain,
% 164.85/165.16 (~E(f334(a125,x116711),x116711)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(11674,plain,
% 164.85/165.16 (~E(f334(a125,x116741),x116741)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(11678,plain,
% 164.85/165.16 (E(f35(x116781,x116782,x116783,x116784,x116785,x116786,x116787,x116788,x116789,a26),x116782)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11697,plain,
% 164.85/165.16 (P107(f334(f256(f926(x116971,a913)),x116972))),
% 164.85/165.16 inference(rename_variables,[],[3545])).
% 164.85/165.16 cnf(11704,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x117041),f126(x117041)),x117042))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(11710,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),f2(a919)),f334(a125,x117101)))),
% 164.85/165.16 inference(rename_variables,[],[3564])).
% 164.85/165.16 cnf(11711,plain,
% 164.85/165.16 (~E(f334(a125,x117111),x117111)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(11714,plain,
% 164.85/165.16 (P107(f334(f334(f336(x117141),x117142),f256(f926(x117141,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3636])).
% 164.85/165.16 cnf(11722,plain,
% 164.85/165.16 (E(f35(x117221,x117222,x117223,x117224,x117225,x117226,x117227,x117228,x117229,a26),x117222)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11727,plain,
% 164.85/165.16 (~E(f334(a125,x117271),x117271)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(11730,plain,
% 164.85/165.16 (P107(f334(f334(f204(a26),x117301),x117301))),
% 164.85/165.16 inference(rename_variables,[],[3484])).
% 164.85/165.16 cnf(11737,plain,
% 164.85/165.16 (P107(f334(f334(f204(a26),x117371),x117371))),
% 164.85/165.16 inference(rename_variables,[],[3484])).
% 164.85/165.16 cnf(11738,plain,
% 164.85/165.16 (E(f35(x117381,x117382,x117383,x117384,x117385,x117386,x117387,x117388,x117389,a26),x117382)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11751,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),f334(f334(f89(a919),x117511),x117512)),x117512))),
% 164.85/165.16 inference(rename_variables,[],[4733])).
% 164.85/165.16 cnf(11754,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a1),f334(f113(a1),x117541)),f2(a1)))),
% 164.85/165.16 inference(rename_variables,[],[4726])).
% 164.85/165.16 cnf(11766,plain,
% 164.85/165.16 (~E(f334(f334(f114(a919),f334(a125,x117661)),x117661),f334(a125,x117661))),
% 164.85/165.16 inference(scs_inference,[],[4743,3717,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,4660,10652,10746,11203,3091,3097,3101,3102,3104,3113,3116,3123,3131,3137,3144,3147,3153,3189,3190,3194,3239,3242,3258,3273,4644,3940,3314,4033,11642,3379,3343,3323,3952,3541,11051,3412,4116,4673,10491,10649,4720,11229,11320,11550,11553,3587,3376,3377,10558,10870,3294,3398,11632,4260,4118,11241,11378,11434,4738,11153,11386,11497,11520,11558,11564,4739,11274,11389,11500,4740,11392,4741,11452,4742,3397,3677,3846,4671,3783,3997,3552,10577,10688,10760,10830,10833,10873,10974,11219,3933,3467,3564,4713,10468,10471,10497,10982,10995,11111,11542,11635,4726,3921,3686,4068,3511,3513,3487,4710,4668,3670,4727,4253,11517,3805,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,4222,4127,11048,4176,3847,4210,3864,11247,11325,11407,4730,10998,11397,3484,10586,10675,10816,10880,11730,3485,10954,11001,11004,11035,11059,11095,11133,3486,10613,10663,10885,10977,4709,10534,11019,11062,3636,10836,11106,11150,11381,11460,11539,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,3545,10867,10897,10906,10909,11489,3577,4001,3938,10537,4719,10488,10855,10858,11344,11362,3505,10900,11056,4301,4716,4008,4701,4704,3460,3464,4703,4702,4732,10769,10772,4737,11238,11422,11530,11547,4084,3928,11166,11172,3779,11300,3930,10903,11263,11431,11465,3745,10819,10822,10912,11082,4735,4736,10775,4357,4264,3961,4733,10510,10513,10861,10864,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522])).
% 164.85/165.16 cnf(11773,plain,
% 164.85/165.16 (E(f35(x117731,x117732,x117733,x117734,x117735,x117736,x117737,x117738,x117739,a26),x117732)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11778,plain,
% 164.85/165.16 (E(f35(x117781,x117782,x117783,x117784,x117785,x117786,x117787,x117788,x117789,a26),x117782)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11781,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a1),f334(f113(a1),x117811)),f2(a1)))),
% 164.85/165.16 inference(rename_variables,[],[4726])).
% 164.85/165.16 cnf(11784,plain,
% 164.85/165.16 (E(f35(x117841,x117842,x117843,x117844,x117845,x117846,x117847,x117848,x117849,a26),x117842)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11787,plain,
% 164.85/165.16 (~E(f334(a125,x117871),x117871)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(11790,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x117901),x117901))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(11797,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x117971),f126(x117971)),x117972))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(11818,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a1),f334(f113(a1),x118181)),f2(a1)))),
% 164.85/165.16 inference(rename_variables,[],[4726])).
% 164.85/165.16 cnf(11833,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(a125,x118331)),x118331))),
% 164.85/165.16 inference(rename_variables,[],[4719])).
% 164.85/165.16 cnf(11834,plain,
% 164.85/165.16 (~E(f334(a125,x118341),x118341)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(11844,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),f334(f334(f89(a919),x118441),x118442)),x118441))),
% 164.85/165.16 inference(rename_variables,[],[4734])).
% 164.85/165.16 cnf(11847,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a1),f334(f113(a1),x118471)),f2(a1)))),
% 164.85/165.16 inference(rename_variables,[],[4726])).
% 164.85/165.16 cnf(11850,plain,
% 164.85/165.16 (~E(f334(a125,x118501),x118501)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(11863,plain,
% 164.85/165.16 (P107(f334(f334(f336(x118631),x118632),f334(f334(f316(x118631),x118632),x118633)))),
% 164.85/165.16 inference(rename_variables,[],[3795])).
% 164.85/165.16 cnf(11864,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a1),f2(a1)),f334(f88(a1),f334(f113(a1),f334(a125,x118641)))))),
% 164.85/165.16 inference(rename_variables,[],[4735])).
% 164.85/165.16 cnf(11867,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),f334(f334(f23(a919),x118671),x118672)),f334(a125,x118671)))),
% 164.85/165.16 inference(rename_variables,[],[3933])).
% 164.85/165.16 cnf(11870,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),f54(a919,x118701,x118702)),x118701))),
% 164.85/165.16 inference(rename_variables,[],[3938])).
% 164.85/165.16 cnf(11874,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),f2(a919)),x118741))),
% 164.85/165.16 inference(rename_variables,[],[3505])).
% 164.85/165.16 cnf(11875,plain,
% 164.85/165.16 (E(f35(x118751,x118752,x118753,x118754,x118755,x118756,x118757,x118758,x118759,a26),x118752)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11878,plain,
% 164.85/165.16 (E(f35(x118781,x118782,x118783,x118784,x118785,x118786,x118787,x118788,x118789,a26),x118782)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11881,plain,
% 164.85/165.16 (E(f35(x118811,x118812,x118813,x118814,x118815,x118816,x118817,x118818,x118819,a26),x118812)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11884,plain,
% 164.85/165.16 (E(f35(x118841,x118842,x118843,x118844,x118845,x118846,x118847,x118848,x118849,a26),x118842)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11887,plain,
% 164.85/165.16 (E(f35(x118871,x118872,x118873,x118874,x118875,x118876,x118877,x118878,x118879,a26),x118872)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11890,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(a125,x118901)),x118901))),
% 164.85/165.16 inference(rename_variables,[],[4719])).
% 164.85/165.16 cnf(11891,plain,
% 164.85/165.16 (E(f35(x118911,x118912,x118913,x118914,x118915,x118916,x118917,x118918,x118919,a26),x118912)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11900,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x119001),x119001))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(11901,plain,
% 164.85/165.16 (E(f35(x119011,x119012,x119013,x119014,x119015,x119016,x119017,x119018,x119019,a26),x119012)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11904,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),f54(a919,x119041,x119042)),x119041))),
% 164.85/165.16 inference(rename_variables,[],[3938])).
% 164.85/165.16 cnf(11905,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),f2(a919)),x119051))),
% 164.85/165.16 inference(rename_variables,[],[3505])).
% 164.85/165.16 cnf(11922,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x119221),x119221))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(11925,plain,
% 164.85/165.16 (P107(f334(f334(f336(x119251),f334(x119252,x119253)),f334(f317(x119254,x119251,x119252),f256(f926(x119254,a913)))))),
% 164.85/165.16 inference(rename_variables,[],[4084])).
% 164.85/165.16 cnf(11926,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(a125,x119261)),x119261))),
% 164.85/165.16 inference(rename_variables,[],[4719])).
% 164.85/165.16 cnf(11929,plain,
% 164.85/165.16 (P107(f334(f334(f336(x119291),f334(x119292,x119293)),f334(f317(x119294,x119291,x119292),f256(f926(x119294,a913)))))),
% 164.85/165.16 inference(rename_variables,[],[4084])).
% 164.85/165.16 cnf(11930,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),f334(f334(f89(a919),x119301),x119302)),x119302))),
% 164.85/165.16 inference(rename_variables,[],[4733])).
% 164.85/165.16 cnf(11935,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),f334(f334(f89(a919),x119351),x119352)),x119351))),
% 164.85/165.16 inference(rename_variables,[],[4734])).
% 164.85/165.16 cnf(11938,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x119381),f126(x119381)),x119382))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(11941,plain,
% 164.85/165.16 (P107(f334(f334(f204(a26),x119411),x119411))),
% 164.85/165.16 inference(rename_variables,[],[3484])).
% 164.85/165.16 cnf(11947,plain,
% 164.85/165.16 (~P36(x119471,x119472,f126(x119471))),
% 164.85/165.16 inference(rename_variables,[],[4684])).
% 164.85/165.16 cnf(11950,plain,
% 164.85/165.16 (P107(f334(f334(f336(x119501),x119502),f256(f926(x119501,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3636])).
% 164.85/165.16 cnf(11951,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(a125,x119511)),x119511))),
% 164.85/165.16 inference(rename_variables,[],[4719])).
% 164.85/165.16 cnf(11954,plain,
% 164.85/165.16 (P107(f334(f334(f204(a26),x119541),x119541))),
% 164.85/165.16 inference(rename_variables,[],[3484])).
% 164.85/165.16 cnf(11967,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x119671),x119672),f198(f926(x119671,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(11970,plain,
% 164.85/165.16 (E(f334(f334(f16(x119701,x119702),x119703),x119704),x119703)),
% 164.85/165.16 inference(rename_variables,[],[3474])).
% 164.85/165.16 cnf(11973,plain,
% 164.85/165.16 (E(f334(f334(f16(x119731,x119732),x119733),x119734),x119733)),
% 164.85/165.16 inference(rename_variables,[],[3474])).
% 164.85/165.16 cnf(11985,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),f2(a919)),f334(a125,x119851)))),
% 164.85/165.16 inference(rename_variables,[],[3564])).
% 164.85/165.16 cnf(11987,plain,
% 164.85/165.16 (P107(f334(f334(f204(a26),f334(f334(f45(a919),x119871),f35(x119872,f2(a919),x119873,x119874,x119875,x119876,x119877,x119878,x119879,a26))),f2(a919)))),
% 164.85/165.16 inference(scs_inference,[],[4743,3717,4683,4684,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,4660,10652,10746,11203,3090,3091,3097,3098,3101,3102,3104,3113,3116,3117,3123,3124,3131,3137,3144,3147,3153,3189,3190,3194,3239,3242,3256,3258,3273,4644,4047,3525,3940,3314,4033,11642,3379,3343,3338,3323,3324,3952,3541,11051,3412,4116,4673,10491,10649,3474,11970,4720,11229,11320,11550,11553,3587,3376,3377,10558,10870,3639,3294,3398,11632,4260,4118,11241,11378,11434,4738,11153,11386,11497,11520,11558,11564,4739,11274,11389,11500,4740,11392,4741,11452,4742,3397,3677,3846,4533,4534,4671,3783,3997,3552,10577,10688,10760,10830,10833,10873,10974,11219,3933,11867,3467,3564,11710,4713,10468,10471,10497,10982,10995,11111,11542,11635,4726,11754,11781,11818,3921,3686,4068,3511,3513,3487,4710,4668,3670,4727,4253,11517,3805,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,4222,4127,11048,4176,3847,4210,3864,11247,11325,11407,4730,10998,11397,3484,10586,10675,10816,10880,11730,11737,11941,11954,3485,10954,11001,11004,11035,11059,11095,11133,3486,10613,10663,10885,10977,11098,3560,4709,10534,11019,11062,11071,11900,3636,10836,11106,11150,11381,11460,11539,11714,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,3545,10867,10897,10906,10909,11489,3583,3577,4001,3938,10537,11870,4719,10488,10855,10858,11344,11362,11833,11890,11926,3505,10900,11056,11126,11874,4301,4716,4008,4701,4704,3460,3464,4703,4702,3795,4732,10769,10772,4737,11238,11422,11530,11547,4084,11584,11925,3928,11166,11172,3779,11300,3930,10903,11263,11431,11465,3745,10819,10822,10912,11082,4735,11864,4736,10775,4357,4264,3961,3907,4733,10510,10513,10861,10864,11751,4734,11844,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5607,5612,5614,5650,5652,5653,5655,5656,5658,5659,5661,5670,5675,5677,5678,5679,5680,5681,5682,5691,5701,5704,5715,5731,5732,5735,5745,5747,5748,5749,5774,5784,5799,5800,5809,5810,5812,5814,5819,5854,5859,5861,5921,5955,5956,5961,5967,5970,5971,5972,5973,5991,5994,5995,6003,6024,6054,6073,6076,6077,6079,6088,6103,6107,6110,6111,6112,6130,6141,6142,6173,6174,6178,6199,6202,6205])).
% 164.85/165.16 cnf(11988,plain,
% 164.85/165.16 (P107(f334(f334(f204(a26),x119881),x119881))),
% 164.85/165.16 inference(rename_variables,[],[3484])).
% 164.85/165.16 cnf(11989,plain,
% 164.85/165.16 (E(f35(x119891,x119892,x119893,x119894,x119895,x119896,x119897,x119898,x119899,a26),x119892)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(11992,plain,
% 164.85/165.16 (P107(f334(f70(x119921),f334(f182(x119921),x119922)))),
% 164.85/165.16 inference(rename_variables,[],[3524])).
% 164.85/165.16 cnf(11995,plain,
% 164.85/165.16 (P107(f334(f70(x119951),f334(f182(x119951),x119952)))),
% 164.85/165.16 inference(rename_variables,[],[3524])).
% 164.85/165.16 cnf(11998,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),f334(f88(a1),f334(f113(a1),x119981))),f334(f113(a1),x119982)))),
% 164.85/165.16 inference(rename_variables,[],[3962])).
% 164.85/165.16 cnf(12001,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x120011),x120012),f198(f926(x120011,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(12017,plain,
% 164.85/165.16 (~P107(f334(f334(f336(a919),x120171),f334(f290(a919),f2(a919))))),
% 164.85/165.16 inference(scs_inference,[],[4743,3717,4683,4684,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,4660,10652,10746,11203,3090,3091,3094,3097,3098,3101,3102,3104,3113,3116,3117,3121,3123,3124,3131,3137,3144,3147,3153,3189,3190,3194,3239,3242,3256,3258,3273,4644,4047,3525,3940,3314,4033,11642,3379,3343,3338,3323,3324,3952,3541,11051,3412,4116,4673,10491,10649,3474,11970,4720,11229,11320,11550,11553,3587,3376,3377,10558,10870,3639,3294,3398,11632,4260,4118,11241,11378,11434,4738,11153,11386,11497,11520,11558,11564,4739,11274,11389,11500,4740,11392,4741,11452,4742,3397,3677,3846,4533,4534,4671,3783,3997,3552,10577,10688,10760,10830,10833,10873,10974,11219,3933,11867,3467,3564,11710,4713,10468,10471,10497,10982,10995,11111,11542,11635,4726,11754,11781,11818,3921,3686,4068,3511,3513,3487,4710,4668,3670,4727,4253,11517,3805,3524,11992,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,4222,4127,11048,4176,3847,4210,3864,11247,11325,11407,4730,10998,11397,3484,10586,10675,10816,10880,11730,11737,11941,11954,3485,10954,11001,11004,11035,11059,11095,11133,3486,10613,10663,10885,10977,11098,3560,4709,10534,11019,11062,11071,11900,3636,10836,11106,11150,11381,11460,11539,11714,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,11967,3545,10867,10897,10906,10909,11489,3583,3577,4001,3938,10537,11870,4719,10488,10855,10858,11344,11362,11833,11890,11926,11951,3505,10900,11056,11126,11874,3962,4301,4716,4008,4701,4704,3460,3464,4703,4702,3795,4732,10769,10772,4737,11238,11422,11530,11547,4084,11584,11925,3928,11166,11172,3779,11300,3930,10903,11263,11431,11465,3745,10819,10822,10912,11082,4735,11864,4736,10775,4357,4264,3961,3907,4733,10510,10513,10861,10864,11751,4734,11844,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5607,5612,5614,5650,5652,5653,5655,5656,5658,5659,5661,5670,5675,5677,5678,5679,5680,5681,5682,5691,5701,5704,5715,5731,5732,5735,5745,5747,5748,5749,5774,5784,5799,5800,5809,5810,5812,5814,5819,5854,5859,5861,5921,5955,5956,5961,5967,5970,5971,5972,5973,5991,5994,5995,6003,6024,6054,6073,6076,6077,6079,6088,6103,6107,6110,6111,6112,6130,6141,6142,6173,6174,6178,6199,6202,6205,6227,6228,6254,6257,6265,6275,6283,6287,6294,6295,6296,6297])).
% 164.85/165.16 cnf(12020,plain,
% 164.85/165.16 (P107(f334(f334(f204(a26),x120201),x120201))),
% 164.85/165.16 inference(rename_variables,[],[3484])).
% 164.85/165.16 cnf(12021,plain,
% 164.85/165.16 (E(f35(x120211,x120212,x120213,x120214,x120215,x120216,x120217,x120218,x120219,a26),x120212)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(12024,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x120241),x120241))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(12033,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x120331),x120331))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(12036,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x120361),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(12041,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x120411),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(12050,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),f2(a919)),x120501))),
% 164.85/165.16 inference(rename_variables,[],[3505])).
% 164.85/165.16 cnf(12051,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(a125,x120511)),x120511))),
% 164.85/165.16 inference(rename_variables,[],[4719])).
% 164.85/165.16 cnf(12054,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x120541),f126(x120541)),x120542))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(12057,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x120571),f126(x120571)),x120572))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(12060,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x120601),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(12061,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x120611),f334(a125,x120611)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(12077,plain,
% 164.85/165.16 (P107(f334(f334(f249(a1),f334(f88(a1),f87(a1))),f2(a1)))),
% 164.85/165.16 inference(scs_inference,[],[4743,3717,4683,4684,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,11989,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,4660,10652,10746,11203,3090,3091,3094,3097,3098,3101,3102,3104,3110,3113,3116,3117,3121,3123,3124,3131,3137,3144,3147,3153,3165,3189,3190,3194,3239,3242,3251,3256,3258,3273,4644,4047,3525,3940,3314,4033,11642,3379,3343,3338,3323,3324,3952,3541,11051,3412,4116,4673,10491,10649,3474,11970,4720,11229,11320,11550,11553,3587,3376,3377,10558,10870,3639,3294,3398,11632,4260,4118,11241,11378,11434,4738,11153,11386,11497,11520,11558,11564,4739,11274,11389,11500,4740,11392,4741,11452,4742,3397,3677,3846,4533,4534,4671,3783,3997,3552,10577,10688,10760,10830,10833,10873,10974,11219,3933,11867,3467,3564,11710,4713,10468,10471,10497,10982,10995,11111,11542,11635,12036,12041,4726,11754,11781,11818,11847,3921,3686,4068,3511,3513,3487,4710,4668,3670,4727,4253,11517,3805,3524,11992,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,11938,12054,4222,4127,11048,4176,3847,4210,3864,11247,11325,11407,4730,10998,11397,3484,10586,10675,10816,10880,11730,11737,11941,11954,11988,3485,10954,11001,11004,11035,11059,11095,11133,3486,10613,10663,10885,10977,11098,11790,12024,3560,4709,10534,11019,11062,11071,11900,3636,10836,11106,11150,11381,11460,11539,11714,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,11967,3545,10867,10897,10906,10909,11489,3583,3577,4001,3938,10537,11870,11904,4719,10488,10855,10858,11344,11362,11833,11890,11926,11951,3505,10900,11056,11126,11874,11905,3962,4301,4716,4008,4701,4704,3460,3464,4703,4702,3795,4732,10769,10772,4737,11238,11422,11530,11547,4084,11584,11925,3928,11166,11172,3779,11300,3930,10903,11263,11431,11465,3745,10819,10822,10912,11082,4735,11864,4736,10775,4357,4264,3961,3907,4733,10510,10513,10861,10864,11751,4734,11844,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522,5523,5524,5554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% 164.85/165.16 cnf(12080,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(a125,x120801)),x120801))),
% 164.85/165.16 inference(rename_variables,[],[4719])).
% 164.85/165.16 cnf(12083,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(a125,x120831)),x120831))),
% 164.85/165.16 inference(rename_variables,[],[4719])).
% 164.85/165.16 cnf(12086,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(a125,x120861)),x120861))),
% 164.85/165.16 inference(rename_variables,[],[4719])).
% 164.85/165.16 cnf(12089,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(a125,x120891)),x120891))),
% 164.85/165.16 inference(rename_variables,[],[4719])).
% 164.85/165.16 cnf(12092,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x120921),x120921))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12095,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x120951),x120951))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12098,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x120981),x120981))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12101,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x121011),x121011))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12119,plain,
% 164.85/165.16 (E(f334(f199(f920(x121191)),f179(x121191,x121192,x121193)),x121192)),
% 164.85/165.16 inference(rename_variables,[],[3551])).
% 164.85/165.16 cnf(12122,plain,
% 164.85/165.16 (P107(f334(f334(f204(a26),x121221),x121221))),
% 164.85/165.16 inference(rename_variables,[],[3484])).
% 164.85/165.16 cnf(12125,plain,
% 164.85/165.16 (P23(a919,a919,a125,x121251)),
% 164.85/165.16 inference(rename_variables,[],[3685])).
% 164.85/165.16 cnf(12127,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x121271),f334(f84(a1),x121271)))),
% 164.85/165.16 inference(scs_inference,[],[4743,3717,4683,4684,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,11989,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,3685,4660,10652,10746,11203,3090,3091,3094,3097,3098,3101,3102,3104,3110,3113,3116,3117,3121,3123,3124,3131,3137,3144,3147,3153,3165,3189,3190,3194,3239,3242,3251,3256,3258,3273,4644,4047,3525,3536,3940,3551,3314,4033,11642,3379,3343,3338,3323,3324,3952,3541,11051,3412,4116,4673,10491,10649,3474,11970,4720,11229,11320,11550,11553,3587,3376,3377,10558,10870,3639,3294,3398,11632,4260,4118,11241,11378,11434,4738,11153,11386,11497,11520,11558,11564,4739,11274,11389,11500,4740,11392,4741,11452,4742,3397,3677,3846,4533,4534,4671,3783,3997,3552,10577,10688,10760,10830,10833,10873,10974,11219,12061,3933,11867,3467,3564,11710,4713,10468,10471,10497,10982,10995,11111,11542,11635,12036,12041,4726,11754,11781,11818,11847,3921,3686,4068,3511,3513,3487,4710,4668,3670,4727,4253,11517,3805,3524,11992,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,11938,12054,4222,4127,11048,4176,3847,4210,3864,11247,11325,11407,4730,10998,11397,3484,10586,10675,10816,10880,11730,11737,11941,11954,11988,12020,3485,10954,11001,11004,11035,11059,11095,11133,3486,10613,10663,10885,10977,11098,11790,12024,12033,3560,4709,10534,11019,11062,11071,11900,11922,12092,12095,12098,3636,10836,11106,11150,11381,11460,11539,11714,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,11967,3545,10867,10897,10906,10909,11489,3583,3577,4001,3938,10537,11870,11904,4719,10488,10855,10858,11344,11362,11833,11890,11926,11951,12051,12080,12083,12086,3505,10900,11056,11126,11874,11905,3962,4301,4716,4008,4701,4704,3460,3464,4703,4702,3795,4732,10769,10772,4737,11238,11422,11530,11547,4084,11584,11925,3928,11166,11172,3779,11300,3930,10903,11263,11431,11465,3745,10819,10822,10912,11082,4735,11864,4736,10775,4357,4264,3961,3907,4733,10510,10513,10861,10864,11751,4734,11844,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5607,5612,5614,5650,5652,5653,5655,5656,5658,5659,5661,5670,5675,5677,5678,5679,5680,5681,5682,5691,5701,5704,5715,5731,5732,5735,5745,5747,5748,5749,5774,5784,5799,5800,5809,5810,5812,5814,5819,5854,5859,5861,5921,5955,5956,5961,5967,5970,5971,5972,5973,5991,5994,5995,6003,6024,6054,6073,6076,6077,6079,6088,6103,6107,6110,6111,6112,6130,6141,6142,6173,6174,6178,6199,6202,6205,6227,6228,6254,6257,6265,6275,6283,6287,6294,6295,6296,6297,6333,6350,6401,6437,6439,6459,6460,6466,6470,6471,6474,6488,6503,6524,6525,6528,6531,6541,6556,6577,6584,6586,6601,6602,6605,6606,6608,6610,6611,6612,6614,6616,6619,6624,6625,6627,6628,6634,6636,6641,6678,6683,6699])).
% 164.85/165.16 cnf(12128,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x121281),x121281))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(12139,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x121391),x121391))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(12142,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(f925(f920(x121421),f920(x121421)),a913)),f168(x121421,x121422)),f314(f920(x121421),f167(x121421,x121422))))),
% 164.85/165.16 inference(rename_variables,[],[4181])).
% 164.85/165.16 cnf(12149,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x121491),f334(a125,x121491)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(12152,plain,
% 164.85/165.16 (P107(f334(f334(f336(f926(x121521,a913)),x121522),f334(f315(x121521),x121522)))),
% 164.85/165.16 inference(rename_variables,[],[3847])).
% 164.85/165.16 cnf(12153,plain,
% 164.85/165.16 (~E(f334(a125,x121531),x121531)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(12158,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x121581),x121581))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(12163,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x121631),x121631))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(12174,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x121741,a913)),x121742),f334(f334(f316(x121741),x121743),x121742)))),
% 164.85/165.16 inference(rename_variables,[],[3928])).
% 164.85/165.16 cnf(12177,plain,
% 164.85/165.16 (P107(f334(f334(f204(a26),x121771),x121771))),
% 164.85/165.16 inference(rename_variables,[],[3484])).
% 164.85/165.16 cnf(12178,plain,
% 164.85/165.16 (~E(f334(a125,x121781),x121781)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(12189,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x121891),x121891))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12190,plain,
% 164.85/165.16 (~E(f334(a125,x121901),x121901)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(12193,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x121931),x121931))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(12196,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x121961),x121961))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(12199,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x121991),x121991))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(12202,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x122021),x122021))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(12205,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x122051),x122051))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(12208,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x122081),x122081))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12211,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x122111),x122111))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12212,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x122121),f334(a125,x122121)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(12219,plain,
% 164.85/165.16 (~E(f334(a125,x122191),x122191)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(12224,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x122241),x122241))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12225,plain,
% 164.85/165.16 (~E(f334(a125,x122251),x122251)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(12228,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x122281),x122281))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(12245,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x122451),x122451))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(12250,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),f2(a919)),x122501))),
% 164.85/165.16 inference(rename_variables,[],[3505])).
% 164.85/165.16 cnf(12264,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x122641),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(12267,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x122671),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(12270,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x122701),x122702),f198(f926(x122701,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(12273,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x122731),x122732),f198(f926(x122731,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(12276,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x122761),x122761))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12279,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x122791),x122791))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12282,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x122821),x122821))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12285,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x122851),x122851))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12288,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x122881),f334(a125,x122881)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(12295,plain,
% 164.85/165.16 (P107(f334(f334(f336(f926(x122951,a913)),x122952),f334(f315(x122951),x122952)))),
% 164.85/165.16 inference(rename_variables,[],[3847])).
% 164.85/165.16 cnf(12300,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x123001,a913)),x123002),f334(f334(f316(x123001),x123003),x123002)))),
% 164.85/165.16 inference(rename_variables,[],[3928])).
% 164.85/165.16 cnf(12307,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x123071),x123072),f198(f926(x123071,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(12316,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x123161,a913)),x123162),f256(f926(x123161,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3864])).
% 164.85/165.16 cnf(12317,plain,
% 164.85/165.16 (~E(f334(a125,x123171),x123171)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(12319,plain,
% 164.85/165.16 (~P22(a912,f198(f926(f918(a912),a913)),f334(f334(f316(f918(a912)),f334(f334(f334(f100(a912),f334(f334(f8(f926(a914,a913),f926(a914,a913),a912),f334(f18(a914,a913,a913),f334(f334(f8(a913,f926(a913,a913),a914),a333),f334(a331,a934)))),f334(f334(f7(a912,f926(a914,a914),f926(a914,a913)),f334(f334(f8(f926(a914,a913),f926(f926(a914,a914),f926(a914,a913)),a912),f8(a914,a913,a914)),a929)),f334(f334(f18(a914,a919,a914),f334(f334(f7(a914,a917,f926(a919,a914)),a207),f36(a932))),a933)))),f30(a932,a933,a930)),a931)),f198(f926(f918(a912),a913))))),
% 164.85/165.16 inference(scs_inference,[],[4743,3717,4683,4684,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,11989,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,11850,12153,12178,12190,12219,12225,3685,4660,10652,10746,11203,3090,3091,3094,3097,3098,3101,3102,3104,3110,3113,3116,3117,3121,3123,3124,3131,3137,3144,3147,3153,3165,3189,3190,3194,3239,3242,3251,3256,3258,3273,4644,4047,3525,3428,3536,3940,4246,3551,3314,4033,11642,3379,3343,3338,3323,3324,3952,3541,11051,3412,4116,4673,10491,10649,3474,11970,4720,11229,11320,11550,11553,3587,3376,3377,10558,10870,3639,3294,3398,11632,4260,4118,11241,11378,11434,4738,11153,11386,11497,11520,11558,11564,4739,11274,11389,11500,4740,11392,4741,11452,4742,3397,3677,3846,4533,4534,4671,3783,3997,3552,10577,10688,10760,10830,10833,10873,10974,11219,12061,12149,12212,3933,11867,3467,3564,11710,4713,10468,10471,10497,10982,10995,11111,11542,11635,12036,12041,12060,12264,4726,11754,11781,11818,11847,3921,3686,4068,3511,3513,3487,4710,4668,3670,4727,4253,11517,3805,3524,11992,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,11938,12054,4222,4181,4127,11048,4176,3847,12152,4210,3864,11247,11325,11407,11471,4730,10998,11397,3484,10586,10675,10816,10880,11730,11737,11941,11954,11988,12020,12122,3485,10954,11001,11004,11035,11059,11095,11133,11169,12193,12196,12199,12202,3486,10613,10663,10885,10977,11098,11790,12024,12033,12128,12139,12158,12163,12205,12228,3560,4709,10534,11019,11062,11071,11900,11922,12092,12095,12098,12101,12189,12208,12211,12224,12276,12279,12282,3636,10836,11106,11150,11381,11460,11539,11714,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,11967,12001,12270,12273,3545,10867,10897,10906,10909,11489,3583,3577,4001,3938,10537,11870,11904,4719,10488,10855,10858,11344,11362,11833,11890,11926,11951,12051,12080,12083,12086,12089,3505,10900,11056,11126,11874,11905,12050,3962,4301,4716,3973,4008,4701,4704,3460,3464,4703,4702,3795,4732,10769,10772,4737,11238,11422,11530,11547,4084,11584,11925,3928,11166,11172,11190,12174,3779,11300,3930,10903,11263,11431,11465,11476,3745,10819,10822,10912,11082,4735,11864,4736,10775,4357,4264,3961,3907,4733,10510,10513,10861,10864,11751,4734,11844,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5607,5612,5614,5650,5652,5653,5655,5656,5658,5659,5661,5670,5675,5677,5678,5679,5680,5681,5682,5691,5701,5704,5715,5731,5732,5735,5745,5747,5748,5749,5774,5784,5799,5800,5809,5810,5812,5814,5819,5854,5859,5861,5921,5955,5956,5961,5967,5970,5971,5972,5973,5991,5994,5995,6003,6024,6054,6073,6076,6077,6079,6088,6103,6107,6110,6111,6112,6130,6141,6142,6173,6174,6178,6199,6202,6205,6227,6228,6254,6257,6265,6275,6283,6287,6294,6295,6296,6297,6333,6350,6401,6437,6439,6459,6460,6466,6470,6471,6474,6488,6503,6524,6525,6528,6531,6541,6556,6577,6584,6586,6601,6602,6605,6606,6608,6610,6611,6612,6614,6616,6619,6624,6625,6627,6628,6634,6636,6641,6678,6683,6699,6701,6702,6703,6738,6743,6745,6750,6751,6759,6763,6776,6799,6800,6802,6803,6814,6820,6838,6841,6859,6889,6890,6891,6897,6910,6929,6931,6933,6935,6940,6946,6948,6963,6968,6969,7004,7005,7006,7020,7021,7023,7024,7043,7045,7061,7086,7108,7119,7121,7123,7125,7126,7160,7161,7164,7165,7172,7173,7175,7177,7199,7208,7209,7220,7230,7269,7280,7284,7291,7302,7307,7309,7316,7325])).
% 164.85/165.16 cnf(12320,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x123201,a913)),f198(f926(x123201,a913))),x123202))),
% 164.85/165.16 inference(rename_variables,[],[3930])).
% 164.85/165.16 cnf(12323,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x123231,a913)),f334(f182(x123231),f334(f146(x123231,x123232),x123233))),f334(f182(x123231),x123233)))),
% 164.85/165.16 inference(rename_variables,[],[4127])).
% 164.85/165.16 cnf(12329,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x123291),f334(a125,x123291)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(12338,plain,
% 164.85/165.16 (E(f35(x123381,x123382,x123383,x123384,x123385,x123386,x123387,x123388,x123389,a26),x123382)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(12349,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(a125,x123491)),x123491))),
% 164.85/165.16 inference(rename_variables,[],[4719])).
% 164.85/165.16 cnf(12350,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x123501),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(12353,plain,
% 164.85/165.16 (P107(f334(f70(x123531),f198(f926(x123531,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3560])).
% 164.85/165.16 cnf(12354,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x123541),x123542),f198(f926(x123541,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(12361,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x123611,a913)),f334(f182(x123611),f186(x123611,x123612,x123613))),f334(f182(x123611),x123612)))),
% 164.85/165.16 inference(rename_variables,[],[4176])).
% 164.85/165.16 cnf(12364,plain,
% 164.85/165.16 (P23(x123641,x123641,f5(x123641),x123642)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(12371,plain,
% 164.85/165.16 (P107(f334(f334(f336(f926(x123711,a913)),x123712),f334(f315(x123711),x123712)))),
% 164.85/165.16 inference(rename_variables,[],[3847])).
% 164.85/165.16 cnf(12378,plain,
% 164.85/165.16 (P107(f334(f334(f204(a26),x123781),x123781))),
% 164.85/165.16 inference(rename_variables,[],[3484])).
% 164.85/165.16 cnf(12381,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x123811),x123812),f198(f926(x123811,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(12384,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x123841,a913)),x123842),f334(f334(f316(x123841),x123843),x123842)))),
% 164.85/165.16 inference(rename_variables,[],[3928])).
% 164.85/165.16 cnf(12385,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x123851,a913)),x123852),f256(f926(x123851,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3864])).
% 164.85/165.16 cnf(12392,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x123921),x123921))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(12395,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x123951),x123951))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(12398,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x123981),x123981))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(12401,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x124011),x124011))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(12404,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x124041),f334(a125,x124041)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(12407,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x124071),f334(a125,x124071)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(12410,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x124101,a913)),x124102),x124102))),
% 164.85/165.16 inference(rename_variables,[],[3779])).
% 164.85/165.16 cnf(12417,plain,
% 164.85/165.16 (P107(f334(f334(f336(f926(x124171,a913)),x124172),f334(f315(x124171),x124172)))),
% 164.85/165.16 inference(rename_variables,[],[3847])).
% 164.85/165.16 cnf(12426,plain,
% 164.85/165.16 (~E(f334(a125,x124261),x124261)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(12427,plain,
% 164.85/165.16 (E(f334(f317(x124271,x124271,f5(x124271)),x124272),x124272)),
% 164.85/165.16 inference(rename_variables,[],[3541])).
% 164.85/165.16 cnf(12430,plain,
% 164.85/165.16 (P33(x124301,x124302,f126(x124301),f126(x124301))),
% 164.85/165.16 inference(rename_variables,[],[3725])).
% 164.85/165.16 cnf(12433,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x124331,a913)),f334(f182(x124331),f186(x124331,x124332,x124333))),f334(f182(x124331),x124332)))),
% 164.85/165.16 inference(rename_variables,[],[4176])).
% 164.85/165.16 cnf(12434,plain,
% 164.85/165.16 (P107(f334(f70(x124341),f334(f182(x124341),x124342)))),
% 164.85/165.16 inference(rename_variables,[],[3524])).
% 164.85/165.16 cnf(12445,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x124451),x124451))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12448,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x124481),x124481))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12453,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),f2(a919)),x124531))),
% 164.85/165.16 inference(rename_variables,[],[3505])).
% 164.85/165.16 cnf(12460,plain,
% 164.85/165.16 (P12(a919,f334(f178(a919),f334(f334(f164(f920(x124601),a919),f199(f920(x124601))),f189(x124601,x124602))))),
% 164.85/165.16 inference(rename_variables,[],[4043])).
% 164.85/165.16 cnf(12463,plain,
% 164.85/165.16 (P23(x124631,x124631,f5(x124631),x124632)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(12466,plain,
% 164.85/165.16 (P23(x124661,x124661,f5(x124661),x124662)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(12469,plain,
% 164.85/165.16 (P107(f334(f334(f336(f920(x124691)),f126(x124691)),f171(x124691,x124692)))),
% 164.85/165.16 inference(rename_variables,[],[3677])).
% 164.85/165.16 cnf(12472,plain,
% 164.85/165.16 (~P107(f334(f334(f198(f926(x124721,f926(x124722,a913))),x124723),x124724))),
% 164.85/165.16 inference(rename_variables,[],[4736])).
% 164.85/165.16 cnf(12477,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x124771),x124771))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(12478,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),f2(a919)),x124781))),
% 164.85/165.16 inference(rename_variables,[],[3505])).
% 164.85/165.16 cnf(12480,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),f2(a1)),f514(x124801,f198(f926(x124802,f926(x124803,a913))),f87(a1))))),
% 164.85/165.16 inference(scs_inference,[],[4743,3717,11315,12364,12463,3725,4683,4684,4682,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,11989,12021,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,11850,12153,12178,12190,12219,12225,12317,3685,4660,10652,10746,11203,3090,3091,3093,3094,3097,3098,3100,3101,3102,3104,3110,3113,3116,3117,3121,3123,3124,3131,3137,3144,3147,3153,3165,3189,3190,3194,3239,3242,3251,3256,3258,3273,4644,4047,3525,3428,3536,3940,4246,3551,3314,4033,11642,3379,3343,3338,3323,3324,3329,3952,3360,3541,11051,11175,3412,4116,4673,10491,10649,3474,11970,4720,11229,11320,11550,11553,3587,3376,3377,10558,10870,3639,3294,3398,11632,4260,4118,11241,11378,11434,4738,11153,11386,11497,11520,11558,11564,4739,11274,11389,11500,4740,11392,4741,11452,4742,3397,3677,3846,4533,4534,4671,3783,4110,3997,4043,3663,3923,3552,10577,10688,10760,10830,10833,10873,10974,11219,12061,12149,12212,12288,12329,12404,3933,11867,3467,3564,11710,3744,4713,10468,10471,10497,10982,10995,11111,11542,11635,12036,12041,12060,12264,12267,12350,4726,11754,11781,11818,11847,3921,3686,4068,3511,3513,3487,4710,4668,3670,4727,4253,11517,3805,3524,11992,11995,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,11938,12054,4222,4181,4127,11048,4176,11244,12361,3847,12152,12295,12371,12417,4210,3864,11247,11325,11407,11471,12316,4730,10998,11397,3484,10586,10675,10816,10880,11730,11737,11941,11954,11988,12020,12122,12177,3485,10954,11001,11004,11035,11059,11095,11133,11169,12193,12196,12199,12202,12392,12395,12398,12401,3486,10613,10663,10885,10977,11098,11790,12024,12033,12128,12139,12158,12163,12205,12228,3560,12353,4709,10534,11019,11062,11071,11900,11922,12092,12095,12098,12101,12189,12208,12211,12224,12276,12279,12282,12285,12445,3636,10836,11106,11150,11381,11460,11539,11714,11950,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,11967,12001,12270,12273,12307,12354,3545,10867,10897,10906,10909,11489,3583,3577,4001,3938,10537,11870,11904,4719,10488,10855,10858,11344,11362,11833,11890,11926,11951,12051,12080,12083,12086,12089,12349,3505,10900,11056,11126,11874,11905,12050,12250,12453,3962,4301,4716,3973,4008,4701,4704,3460,3464,4703,4702,3795,4732,10769,10772,4737,11238,11422,11530,11547,4084,11584,11925,3928,11166,11172,11190,12174,12300,3779,11300,11425,3930,10903,11263,11431,11465,11476,3745,10819,10822,10912,11082,4735,11864,4736,10775,11410,12472,4357,4264,3961,3907,4733,10510,10513,10861,10864,11751,4734,11844,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5607,5612,5614,5650,5652,5653,5655,5656,5658,5659,5661,5670,5675,5677,5678,5679,5680,5681,5682,5691,5701,5704,5715,5731,5732,5735,5745,5747,5748,5749,5774,5784,5799,5800,5809,5810,5812,5814,5819,5854,5859,5861,5921,5955,5956,5961,5967,5970,5971,5972,5973,5991,5994,5995,6003,6024,6054,6073,6076,6077,6079,6088,6103,6107,6110,6111,6112,6130,6141,6142,6173,6174,6178,6199,6202,6205,6227,6228,6254,6257,6265,6275,6283,6287,6294,6295,6296,6297,6333,6350,6401,6437,6439,6459,6460,6466,6470,6471,6474,6488,6503,6524,6525,6528,6531,6541,6556,6577,6584,6586,6601,6602,6605,6606,6608,6610,6611,6612,6614,6616,6619,6624,6625,6627,6628,6634,6636,6641,6678,6683,6699,6701,6702,6703,6738,6743,6745,6750,6751,6759,6763,6776,6799,6800,6802,6803,6814,6820,6838,6841,6859,6889,6890,6891,6897,6910,6929,6931,6933,6935,6940,6946,6948,6963,6968,6969,7004,7005,7006,7020,7021,7023,7024,7043,7045,7061,7086,7108,7119,7121,7123,7125,7126,7160,7161,7164,7165,7172,7173,7175,7177,7199,7208,7209,7220,7230,7269,7280,7284,7291,7302,7307,7309,7316,7325,7326,7339,7356,7375,7377,7395,7447,7448,7449,7451,7453,7457,7462,7526,7555,7570,7575,7586,7618,7621,7644,7666,7684,7687,7688,7698,7718,7720,7722,7724,7725,7726,7751,7777,7778,7809,7811,7812,7813,7818,7841,7859,7864,7870,7872,7879,7891,7892,7894,7917,7924,7947,8013,8014,8015,8063,8069,8070,8093,8094])).
% 164.85/165.16 cnf(12481,plain,
% 164.85/165.16 (~P107(f334(f334(f198(f926(x124811,f926(x124812,a913))),x124813),x124814))),
% 164.85/165.16 inference(rename_variables,[],[4736])).
% 164.85/165.16 cnf(12484,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(f925(f920(x124841),f920(x124841)),a913)),f168(x124841,x124842)),f314(f920(x124841),f167(x124841,x124842))))),
% 164.85/165.16 inference(rename_variables,[],[4181])).
% 164.85/165.16 cnf(12490,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x124901,a913)),f334(f182(x124901),f186(x124901,x124902,x124903))),f334(f182(x124901),x124902)))),
% 164.85/165.16 inference(rename_variables,[],[4176])).
% 164.85/165.16 cnf(12491,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x124911,a913)),f334(f182(x124911),f334(f146(x124911,x124912),x124913))),f334(f182(x124911),x124913)))),
% 164.85/165.16 inference(rename_variables,[],[4127])).
% 164.85/165.16 cnf(12494,plain,
% 164.85/165.16 (~P107(f334(f334(f249(f926(x124941,a913)),x124942),f198(f926(x124941,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4730])).
% 164.85/165.16 cnf(12502,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x125021,a913)),f334(f317(x125022,x125021,x125023),f334(f318(x125022,x125021,x125023),x125024))),x125024))),
% 164.85/165.16 inference(rename_variables,[],[4357])).
% 164.85/165.16 cnf(12507,plain,
% 164.85/165.16 (P107(f334(f334(f336(f920(x125071)),f126(x125071)),f171(x125071,x125072)))),
% 164.85/165.16 inference(rename_variables,[],[3677])).
% 164.85/165.16 cnf(12510,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(f920(x125101),f920(x125101))),f334(f334(f266(f920(x125101),f920(x125101)),x125102),f126(x125101))),f155(x125101,x125103)))),
% 164.85/165.16 inference(rename_variables,[],[4738])).
% 164.85/165.16 cnf(12513,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x125131),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(12515,plain,
% 164.85/165.16 (~P107(f334(f70(x125151),f256(f926(x125151,a913))))),
% 164.85/165.16 inference(scs_inference,[],[4743,3717,11315,12364,12463,3725,3734,3454,4683,4684,3352,4682,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,11989,12021,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,11850,12153,12178,12190,12219,12225,12317,3685,4660,10652,10746,11203,3090,3091,3093,3094,3097,3098,3100,3101,3102,3104,3110,3113,3116,3117,3121,3123,3124,3131,3137,3144,3147,3153,3165,3168,3189,3190,3194,3239,3242,3251,3256,3258,3273,4644,4047,3525,3428,3536,3940,4246,3551,3314,4033,11642,3379,3343,3338,3323,3324,3329,3952,3360,3541,11051,11175,3412,4116,4673,10491,10649,3474,11970,4720,11229,11320,11550,11553,3587,3376,3377,10558,10870,3639,3294,3398,11632,4260,4118,11241,11378,11434,4738,11153,11386,11497,11520,11558,11564,4739,11274,11389,11500,4740,11392,4741,11452,4742,3397,3677,12469,12507,3846,4533,4534,4671,3783,4110,3997,4043,3663,3923,3552,10577,10688,10760,10830,10833,10873,10974,11219,12061,12149,12212,12288,12329,12404,3933,11867,3467,3564,11710,3744,4713,10468,10471,10497,10982,10995,11111,11542,11635,12036,12041,12060,12264,12267,12350,4726,11754,11781,11818,11847,3921,3686,4068,3511,3513,3487,4710,4668,3670,4727,4253,11517,3805,3524,11992,11995,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,11938,12054,4222,4181,12142,12484,4127,11048,12323,4176,11244,12361,12433,3847,12152,12295,12371,12417,4210,3864,11247,11325,11407,11471,12316,4730,10998,11397,3484,10586,10675,10816,10880,11730,11737,11941,11954,11988,12020,12122,12177,3485,10954,11001,11004,11035,11059,11095,11133,11169,12193,12196,12199,12202,12392,12395,12398,12401,3486,10613,10663,10885,10977,11098,11790,12024,12033,12128,12139,12158,12163,12205,12228,3560,12353,4709,10534,11019,11062,11071,11900,11922,12092,12095,12098,12101,12189,12208,12211,12224,12276,12279,12282,12285,12445,3636,10836,11106,11150,11381,11460,11539,11714,11950,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,11967,12001,12270,12273,12307,12354,3545,10867,10897,10906,10909,11489,3583,3577,4001,3938,10537,11870,11904,4719,10488,10855,10858,11344,11362,11833,11890,11926,11951,12051,12080,12083,12086,12089,12349,3505,10900,11056,11126,11874,11905,12050,12250,12453,3962,4301,4716,3973,4008,4701,4704,3460,3464,4703,4702,3795,4732,10769,10772,4737,11238,11422,11530,11547,4084,11584,11925,3928,11166,11172,11190,12174,12300,3779,11300,11425,12410,3930,10903,11263,11431,11465,11476,3745,10819,10822,10912,11082,4735,11864,4736,10775,11410,12472,4357,11041,4264,3961,3907,4733,10510,10513,10861,10864,11751,4734,11844,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5607,5612,5614,5650,5652,5653,5655,5656,5658,5659,5661,5670,5675,5677,5678,5679,5680,5681,5682,5691,5701,5704,5715,5731,5732,5735,5745,5747,5748,5749,5774,5784,5799,5800,5809,5810,5812,5814,5819,5854,5859,5861,5921,5955,5956,5961,5967,5970,5971,5972,5973,5991,5994,5995,6003,6024,6054,6073,6076,6077,6079,6088,6103,6107,6110,6111,6112,6130,6141,6142,6173,6174,6178,6199,6202,6205,6227,6228,6254,6257,6265,6275,6283,6287,6294,6295,6296,6297,6333,6350,6401,6437,6439,6459,6460,6466,6470,6471,6474,6488,6503,6524,6525,6528,6531,6541,6556,6577,6584,6586,6601,6602,6605,6606,6608,6610,6611,6612,6614,6616,6619,6624,6625,6627,6628,6634,6636,6641,6678,6683,6699,6701,6702,6703,6738,6743,6745,6750,6751,6759,6763,6776,6799,6800,6802,6803,6814,6820,6838,6841,6859,6889,6890,6891,6897,6910,6929,6931,6933,6935,6940,6946,6948,6963,6968,6969,7004,7005,7006,7020,7021,7023,7024,7043,7045,7061,7086,7108,7119,7121,7123,7125,7126,7160,7161,7164,7165,7172,7173,7175,7177,7199,7208,7209,7220,7230,7269,7280,7284,7291,7302,7307,7309,7316,7325,7326,7339,7356,7375,7377,7395,7447,7448,7449,7451,7453,7457,7462,7526,7555,7570,7575,7586,7618,7621,7644,7666,7684,7687,7688,7698,7718,7720,7722,7724,7725,7726,7751,7777,7778,7809,7811,7812,7813,7818,7841,7859,7864,7870,7872,7879,7891,7892,7894,7917,7924,7947,8013,8014,8015,8063,8069,8070,8093,8094,8111,8112,8175,8176,8205,8236,8246,8257,8268,8300,8304,8310])).
% 164.85/165.16 cnf(12516,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x125161,a913)),x125162),x125162))),
% 164.85/165.16 inference(rename_variables,[],[3779])).
% 164.85/165.16 cnf(12519,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x125191),x125192),f198(f926(x125191,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(12522,plain,
% 164.85/165.16 (~P107(f334(f334(f198(f926(x125221,f926(x125222,a913))),x125223),x125224))),
% 164.85/165.16 inference(rename_variables,[],[4736])).
% 164.85/165.16 cnf(12525,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x125251,a913)),f334(f317(x125252,x125251,x125253),f334(f318(x125252,x125251,x125253),x125254))),x125254))),
% 164.85/165.16 inference(rename_variables,[],[4357])).
% 164.85/165.16 cnf(12526,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x125261,a913)),x125262),x125262))),
% 164.85/165.16 inference(rename_variables,[],[3779])).
% 164.85/165.16 cnf(12531,plain,
% 164.85/165.16 (E(f35(x125311,x125312,x125313,x125314,x125315,x125316,x125317,x125318,x125319,a26),x125312)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(12534,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x125341,a913)),f334(f182(x125341),f186(x125341,x125342,x125343))),f334(f182(x125341),x125342)))),
% 164.85/165.16 inference(rename_variables,[],[4176])).
% 164.85/165.16 cnf(12535,plain,
% 164.85/165.16 (P107(f334(f70(x125351),f334(f182(x125351),x125352)))),
% 164.85/165.16 inference(rename_variables,[],[3524])).
% 164.85/165.16 cnf(12541,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x125411),x125411))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12544,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x125441),x125441))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12555,plain,
% 164.85/165.16 (P23(x125551,x125551,f5(x125551),x125552)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(12563,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x125631),x125632),f198(f926(x125631,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(12566,plain,
% 164.85/165.16 (P107(f334(f334(f336(f925(x125661,x125661)),f334(f334(f266(x125661,x125661),x125662),x125662)),f314(x125661,x125663)))),
% 164.85/165.16 inference(rename_variables,[],[4118])).
% 164.85/165.16 cnf(12569,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x125691),x125692),f198(f926(x125691,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(12572,plain,
% 164.85/165.16 (P107(f334(f334(f336(f925(x125721,x125721)),f334(f334(f266(x125721,x125721),x125722),x125722)),f314(x125721,x125723)))),
% 164.85/165.16 inference(rename_variables,[],[4118])).
% 164.85/165.16 cnf(12582,plain,
% 164.85/165.16 (~E(f334(f334(f161(x125821),x125822),x125823),x125823)),
% 164.85/165.16 inference(rename_variables,[],[4673])).
% 164.85/165.16 cnf(12584,plain,
% 164.85/165.16 (~P24(a919,a919,x125841,f256(f926(a919,a913)),f313(a919,x125842,x125843))),
% 164.85/165.16 inference(scs_inference,[],[4743,3717,11315,12364,12463,12466,3725,3734,3454,4683,4684,3352,4682,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,11989,12021,12338,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,11850,12153,12178,12190,12219,12225,12317,3685,12125,4660,10652,10746,11203,3090,3091,3093,3094,3097,3098,3100,3101,3102,3104,3110,3113,3116,3117,3121,3123,3124,3131,3135,3137,3144,3147,3153,3165,3168,3189,3190,3194,3239,3242,3251,3256,3258,3273,4644,4047,3525,3428,3536,3940,4246,3551,3314,4033,11642,3379,3343,3800,3338,3323,3324,3329,3952,3360,3541,11051,11175,3412,4116,4673,10491,10649,11503,3474,11970,4720,11229,11320,11550,11553,3587,4698,3376,3377,10558,10870,3639,3294,3398,11632,4260,4118,11241,11378,11434,12566,4738,11153,11386,11497,11520,11558,11564,12510,4739,11274,11389,11500,4740,11392,4741,11452,4742,3397,3677,12469,12507,3846,3629,4533,4534,4671,11625,3783,4110,3997,4043,3663,3923,3552,10577,10688,10760,10830,10833,10873,10974,11219,12061,12149,12212,12288,12329,12404,12407,3933,11867,3467,3564,11710,3744,4713,10468,10471,10497,10982,10995,11111,11542,11635,12036,12041,12060,12264,12267,12350,12513,4726,11754,11781,11818,11847,3921,3686,4068,3511,3513,3487,4710,4668,3670,4727,4253,11517,3805,3524,11992,11995,12434,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,11938,12054,4222,4181,12142,12484,4127,11048,12323,4176,11244,12361,12433,12490,12534,3847,12152,12295,12371,12417,4210,3864,11247,11325,11407,11471,12316,12385,4730,10998,11397,3484,10586,10675,10816,10880,11730,11737,11941,11954,11988,12020,12122,12177,12378,3485,10954,11001,11004,11035,11059,11095,11133,11169,12193,12196,12199,12202,12392,12395,12398,12401,12477,3486,10613,10663,10885,10977,11098,11790,12024,12033,12128,12139,12158,12163,12205,12228,3560,12353,4709,10534,11019,11062,11071,11900,11922,12092,12095,12098,12101,12189,12208,12211,12224,12276,12279,12282,12285,12445,12448,12541,3636,10836,11106,11150,11381,11460,11539,11714,11950,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,11967,12001,12270,12273,12307,12354,12381,12519,12563,3545,10867,10897,10906,10909,11489,3583,3577,4001,3938,10537,11870,11904,4719,10488,10855,10858,11344,11362,11833,11890,11926,11951,12051,12080,12083,12086,12089,12349,3505,10900,11056,11126,11874,11905,12050,12250,12453,3962,4301,4716,3973,4008,4701,4704,3460,3464,4703,4702,3795,4732,10769,10772,4737,11238,11422,11530,11547,11587,4084,11584,11925,3928,11166,11172,11190,12174,12300,3779,11300,11425,12410,12516,3930,10903,11263,11431,11465,11476,3745,10819,10822,10912,11082,4735,11864,4736,10775,11410,12472,12481,4357,11041,12502,4264,3961,3907,4733,10510,10513,10861,10864,11751,4734,11844,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5607,5612,5614,5650,5652,5653,5655,5656,5658,5659,5661,5670,5675,5677,5678,5679,5680,5681,5682,5691,5701,5704,5715,5731,5732,5735,5745,5747,5748,5749,5774,5784,5799,5800,5809,5810,5812,5814,5819,5854,5859,5861,5921,5955,5956,5961,5967,5970,5971,5972,5973,5991,5994,5995,6003,6024,6054,6073,6076,6077,6079,6088,6103,6107,6110,6111,6112,6130,6141,6142,6173,6174,6178,6199,6202,6205,6227,6228,6254,6257,6265,6275,6283,6287,6294,6295,6296,6297,6333,6350,6401,6437,6439,6459,6460,6466,6470,6471,6474,6488,6503,6524,6525,6528,6531,6541,6556,6577,6584,6586,6601,6602,6605,6606,6608,6610,6611,6612,6614,6616,6619,6624,6625,6627,6628,6634,6636,6641,6678,6683,6699,6701,6702,6703,6738,6743,6745,6750,6751,6759,6763,6776,6799,6800,6802,6803,6814,6820,6838,6841,6859,6889,6890,6891,6897,6910,6929,6931,6933,6935,6940,6946,6948,6963,6968,6969,7004,7005,7006,7020,7021,7023,7024,7043,7045,7061,7086,7108,7119,7121,7123,7125,7126,7160,7161,7164,7165,7172,7173,7175,7177,7199,7208,7209,7220,7230,7269,7280,7284,7291,7302,7307,7309,7316,7325,7326,7339,7356,7375,7377,7395,7447,7448,7449,7451,7453,7457,7462,7526,7555,7570,7575,7586,7618,7621,7644,7666,7684,7687,7688,7698,7718,7720,7722,7724,7725,7726,7751,7777,7778,7809,7811,7812,7813,7818,7841,7859,7864,7870,7872,7879,7891,7892,7894,7917,7924,7947,8013,8014,8015,8063,8069,8070,8093,8094,8111,8112,8175,8176,8205,8236,8246,8257,8268,8300,8304,8310,8322,8340,8345,8368,8412,8441,8455,8474,8477,8503,8529,8595,8596,8599,8600,8672,8706,8707,8708,8709,8737,8769,8800,8807])).
% 164.85/165.16 cnf(12589,plain,
% 164.85/165.16 (P107(f334(f334(f336(x125891),x125892),f256(f926(x125891,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3636])).
% 164.85/165.16 cnf(12590,plain,
% 164.85/165.16 (~E(f334(a125,x125901),x125901)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(12593,plain,
% 164.85/165.16 (P107(f334(f334(f336(f920(x125931)),f126(x125931)),f171(x125931,x125932)))),
% 164.85/165.16 inference(rename_variables,[],[3677])).
% 164.85/165.16 cnf(12594,plain,
% 164.85/165.16 (~E(f334(f334(f161(x125941),x125942),x125943),f126(x125941))),
% 164.85/165.16 inference(rename_variables,[],[4680])).
% 164.85/165.16 cnf(12597,plain,
% 164.85/165.16 (P23(x125971,x125971,f5(x125971),x125972)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(12600,plain,
% 164.85/165.16 (P107(f334(f334(f336(x126001),f334(x126002,x126003)),f334(f317(x126004,x126001,x126002),f256(f926(x126004,a913)))))),
% 164.85/165.16 inference(rename_variables,[],[4084])).
% 164.85/165.16 cnf(12601,plain,
% 164.85/165.16 (P23(x126011,x126011,f5(x126011),x126012)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(12604,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x126041,a913)),f198(f926(x126041,a913))),x126042))),
% 164.85/165.16 inference(rename_variables,[],[3930])).
% 164.85/165.16 cnf(12605,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x126051,a913)),x126052),x126052))),
% 164.85/165.16 inference(rename_variables,[],[3779])).
% 164.85/165.16 cnf(12608,plain,
% 164.85/165.16 (P107(f334(f334(f336(x126081),f334(x126082,x126083)),f334(f317(x126084,x126081,x126082),f256(f926(x126084,a913)))))),
% 164.85/165.16 inference(rename_variables,[],[4084])).
% 164.85/165.16 cnf(12609,plain,
% 164.85/165.16 (P23(x126091,x126091,f5(x126091),x126092)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(12612,plain,
% 164.85/165.16 (P107(f334(f334(f336(f925(f920(x126121),f920(x126121))),f334(f334(f266(f920(x126121),f920(x126121)),f126(x126121)),f126(x126121))),f168(x126121,x126122)))),
% 164.85/165.16 inference(rename_variables,[],[4260])).
% 164.85/165.16 cnf(12615,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x126151),f126(x126151)),x126152))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(12616,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x126161),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(12622,plain,
% 164.85/165.16 (E(f334(f334(f144(x126221),x126222),f126(x126221)),x126222)),
% 164.85/165.16 inference(rename_variables,[],[3413])).
% 164.85/165.16 cnf(12623,plain,
% 164.85/165.16 (~E(f334(f334(f161(x126231),x126232),x126233),x126233)),
% 164.85/165.16 inference(rename_variables,[],[4673])).
% 164.85/165.16 cnf(12626,plain,
% 164.85/165.16 (E(f334(f334(f144(x126261),x126262),f126(x126261)),x126262)),
% 164.85/165.16 inference(rename_variables,[],[3413])).
% 164.85/165.16 cnf(12627,plain,
% 164.85/165.16 (~E(f334(f334(f161(x126271),x126272),x126273),x126273)),
% 164.85/165.16 inference(rename_variables,[],[4673])).
% 164.85/165.16 cnf(12630,plain,
% 164.85/165.16 (E(f334(f334(f144(x126301),x126302),f126(x126301)),x126302)),
% 164.85/165.16 inference(rename_variables,[],[3413])).
% 164.85/165.16 cnf(12637,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x126371,a913)),f334(f182(x126371),f334(f146(x126371,x126372),x126373))),f334(f182(x126371),x126373)))),
% 164.85/165.16 inference(rename_variables,[],[4127])).
% 164.85/165.16 cnf(12638,plain,
% 164.85/165.16 (E(f334(f317(x126381,x126381,f5(x126381)),x126382),x126382)),
% 164.85/165.16 inference(rename_variables,[],[3541])).
% 164.85/165.16 cnf(12643,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x126431,a913)),x126432),f256(f926(x126431,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3864])).
% 164.85/165.16 cnf(12647,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x126471),x126471))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12648,plain,
% 164.85/165.16 (~E(f334(a125,x126481),x126481)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(12651,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x126511,a913)),f198(f926(x126511,a913))),x126512))),
% 164.85/165.16 inference(rename_variables,[],[3930])).
% 164.85/165.16 cnf(12654,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x126541),x126541))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(12657,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x126571,a913)),x126572),x126572))),
% 164.85/165.16 inference(rename_variables,[],[3779])).
% 164.85/165.16 cnf(12662,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x126621,a913)),x126622),f334(f334(f316(x126621),x126623),x126622)))),
% 164.85/165.16 inference(rename_variables,[],[3928])).
% 164.85/165.16 cnf(12665,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x126651,a913)),x126652),x126652))),
% 164.85/165.16 inference(rename_variables,[],[3779])).
% 164.85/165.16 cnf(12666,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x126661),x126662),f198(f926(x126661,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(12669,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x126691),x126692),f198(f926(x126691,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(12678,plain,
% 164.85/165.16 (P23(x126781,x126781,f5(x126781),x126782)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(12681,plain,
% 164.85/165.16 (E(f334(f199(f920(x126811)),f179(x126811,x126812,x126813)),x126812)),
% 164.85/165.16 inference(rename_variables,[],[3551])).
% 164.85/165.16 cnf(12684,plain,
% 164.85/165.16 (P24(x126841,x126841,f25(x126841),x126842,x126842)),
% 164.85/165.16 inference(rename_variables,[],[4142])).
% 164.85/165.16 cnf(12687,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x126871),x126871))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12688,plain,
% 164.85/165.16 (P107(f334(f256(f926(x126881,a913)),x126882))),
% 164.85/165.16 inference(rename_variables,[],[3545])).
% 164.85/165.16 cnf(12691,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x126911),x126912),f198(f926(x126911,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(12694,plain,
% 164.85/165.16 (P107(f334(f334(f336(x126941),f334(x126942,x126943)),f334(f317(x126944,x126941,x126942),f256(f926(x126944,a913)))))),
% 164.85/165.16 inference(rename_variables,[],[4084])).
% 164.85/165.16 cnf(12695,plain,
% 164.85/165.16 (P107(f334(f334(f336(f925(x126951,x126951)),f334(f334(f266(x126951,x126951),x126952),x126952)),f314(x126951,x126953)))),
% 164.85/165.16 inference(rename_variables,[],[4118])).
% 164.85/165.16 cnf(12698,plain,
% 164.85/165.16 (P107(f334(f334(f336(f925(x126981,x126981)),f334(f334(f266(x126981,x126981),x126982),x126982)),f314(x126981,x126983)))),
% 164.85/165.16 inference(rename_variables,[],[4118])).
% 164.85/165.16 cnf(12701,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x127011),x127011))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(12702,plain,
% 164.85/165.16 (P107(f334(f256(f926(x127021,a913)),x127022))),
% 164.85/165.16 inference(rename_variables,[],[3545])).
% 164.85/165.16 cnf(12705,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x127051,a913)),x127052),f256(f926(x127051,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3864])).
% 164.85/165.16 cnf(12706,plain,
% 164.85/165.16 (P24(x127061,x127061,f25(x127061),x127062,x127062)),
% 164.85/165.16 inference(rename_variables,[],[4142])).
% 164.85/165.16 cnf(12709,plain,
% 164.85/165.16 (P107(f334(f70(x127091),f334(f182(x127091),x127092)))),
% 164.85/165.16 inference(rename_variables,[],[3524])).
% 164.85/165.16 cnf(12716,plain,
% 164.85/165.16 (P107(f334(f334(f336(f925(x127161,x127161)),f334(f334(f266(x127161,x127161),x127162),x127162)),f334(f334(f296(x127161,x127161,x127161),f314(x127161,x127163)),f314(x127161,f314(x127161,x127163)))))),
% 164.85/165.16 inference(scs_inference,[],[4743,4142,12684,3717,11315,12364,12463,12466,12555,12597,12601,12609,3725,3734,3454,4683,4684,3352,4682,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,11989,12021,12338,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,11850,12153,12178,12190,12219,12225,12317,12426,12590,3540,3685,12125,4660,10652,10746,11203,3090,3091,3093,3094,3097,3098,3100,3101,3102,3104,3110,3113,3116,3117,3121,3123,3124,3131,3135,3137,3144,3147,3153,3165,3168,3189,3190,3194,3239,3242,3251,3256,3258,3273,4644,4047,3525,3413,12622,12626,12630,3428,3536,3940,4246,3551,12119,3314,4033,11642,3379,3343,3800,3338,3323,3324,3329,3952,3360,3541,11051,11175,12427,12638,3412,4116,4673,10491,10649,11503,12582,12623,4680,12594,3474,11970,4720,11229,11320,11550,11553,3587,4698,3376,3377,10558,10870,3639,3294,3398,11632,4260,12612,4118,11241,11378,11434,12566,12572,12695,12698,4738,11153,11386,11497,11520,11558,11564,12510,4739,11274,11389,11500,4740,11392,4741,11452,4742,3397,3677,12469,12507,12593,3846,3629,4533,4534,4671,11625,3783,4110,3997,4043,3663,3923,3552,10577,10688,10760,10830,10833,10873,10974,11219,12061,12149,12212,12288,12329,12404,12407,3933,11867,3467,3564,11710,3744,4713,10468,10471,10497,10982,10995,11111,11542,11635,12036,12041,12060,12264,12267,12350,12513,4726,11754,11781,11818,11847,3921,3686,4068,3511,3513,3487,4710,4668,3872,3670,4727,4253,11517,3805,3524,11992,11995,12434,12535,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,11938,12054,12057,4222,4181,12142,12484,4127,11048,12323,12491,4176,11244,12361,12433,12490,12534,3847,12152,12295,12371,12417,4210,3864,11247,11325,11407,11471,12316,12385,12643,4730,10998,11397,3484,10586,10675,10816,10880,11730,11737,11941,11954,11988,12020,12122,12177,12378,3485,10954,11001,11004,11035,11059,11095,11133,11169,12193,12196,12199,12202,12392,12395,12398,12401,12477,12654,3486,10613,10663,10885,10977,11098,11790,12024,12033,12128,12139,12158,12163,12205,12228,3560,12353,4709,10534,11019,11062,11071,11900,11922,12092,12095,12098,12101,12189,12208,12211,12224,12276,12279,12282,12285,12445,12448,12541,12544,12647,3636,10836,11106,11150,11381,11460,11539,11714,11950,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,11967,12001,12270,12273,12307,12354,12381,12519,12563,12569,12666,12669,3545,10867,10897,10906,10909,11489,11697,12688,3583,3577,4001,3938,10537,11870,11904,4719,10488,10855,10858,11344,11362,11833,11890,11926,11951,12051,12080,12083,12086,12089,12349,3505,10900,11056,11126,11874,11905,12050,12250,12453,3962,4301,4716,3973,4008,4701,4704,3460,3464,4703,4702,3795,4732,10769,10772,4737,11238,11422,11530,11547,11587,4084,11584,11925,11929,12600,12608,3928,11166,11172,11190,12174,12300,12384,3779,11300,11425,12410,12516,12526,12605,12657,3930,10903,11263,11431,11465,11476,12320,12604,3745,10819,10822,10912,11082,4735,11864,4736,10775,11410,12472,12481,4357,11041,12502,4264,3961,3907,4733,10510,10513,10861,10864,11751,4734,11844,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,85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% 164.85/165.16 cnf(12722,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x127221,a913)),x127222),f256(f926(x127221,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3864])).
% 164.85/165.16 cnf(12725,plain,
% 164.85/165.16 (P107(f334(f334(f336(f925(x127251,x127251)),f334(f334(f266(x127251,x127251),x127252),x127252)),f314(x127251,x127253)))),
% 164.85/165.16 inference(rename_variables,[],[4118])).
% 164.85/165.16 cnf(12728,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),f334(f334(f89(a919),x127281),x127282)),x127282))),
% 164.85/165.16 inference(rename_variables,[],[4733])).
% 164.85/165.16 cnf(12729,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x127291),f334(a125,x127291)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(12732,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x127321,a913)),x127322),f256(f926(x127321,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3864])).
% 164.85/165.16 cnf(12735,plain,
% 164.85/165.16 (E(f35(x127351,x127352,x127353,x127354,x127355,x127356,x127357,x127358,x127359,a26),x127352)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(12746,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x127461),x127462),f198(f926(x127461,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(12747,plain,
% 164.85/165.16 (P107(f334(f334(f336(f925(f920(x127471),f920(x127471))),f334(f334(f266(f920(x127471),f920(x127471)),f126(x127471)),f126(x127471))),f168(x127471,x127472)))),
% 164.85/165.16 inference(rename_variables,[],[4260])).
% 164.85/165.16 cnf(12749,plain,
% 164.85/165.16 (P107(f334(f334(f336(f925(a919,a919)),f334(f334(f266(a919,a919),f2(a919)),f334(a125,f2(a919)))),f334(f334(f296(a919,a919,a919),f314(a919,a324)),f314(a919,f314(a919,a324)))))),
% 164.85/165.16 inference(scs_inference,[],[4743,4142,12684,3717,11315,12364,12463,12466,12555,12597,12601,12609,3725,3734,3454,4683,4684,3352,4682,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,11989,12021,12338,12531,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,11850,12153,12178,12190,12219,12225,12317,12426,12590,3540,3685,12125,4660,10652,10746,11203,3090,3091,3093,3094,3097,3098,3100,3101,3102,3104,3110,3113,3116,3117,3121,3123,3124,3131,3135,3137,3144,3147,3153,3165,3168,3189,3190,3194,3239,3242,3251,3256,3258,3273,4644,3821,4047,3525,3413,12622,12626,12630,3428,3536,3940,4246,3551,12119,3314,4033,11642,3379,3343,3800,3338,3323,3324,3329,3952,3360,3541,11051,11175,12427,12638,3412,4116,4673,10491,10649,11503,12582,12623,4680,12594,3474,11970,4720,11229,11320,11550,11553,3587,4698,3376,3377,10558,10870,3639,3294,3398,11632,4260,12612,4118,11241,11378,11434,12566,12572,12695,12698,12725,4738,11153,11386,11497,11520,11558,11564,12510,4739,11274,11389,11500,4740,11392,4741,11452,4742,3397,3677,12469,12507,12593,3846,3629,4533,4534,4671,11625,3783,4110,3997,4043,3663,3923,3552,10577,10688,10760,10830,10833,10873,10974,11219,12061,12149,12212,12288,12329,12404,12407,3933,11867,3467,3564,11710,3744,4713,10468,10471,10497,10982,10995,11111,11542,11635,12036,12041,12060,12264,12267,12350,12513,4726,11754,11781,11818,11847,3921,3686,4068,3511,3513,3487,4710,4668,3872,3670,4727,4253,11517,3805,3524,11992,11995,12434,12535,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,11938,12054,12057,4222,4181,12142,12484,4127,11048,12323,12491,4176,11244,12361,12433,12490,12534,3847,12152,12295,12371,12417,4210,3864,11247,11325,11407,11471,12316,12385,12643,12705,12722,4730,10998,11397,3484,10586,10675,10816,10880,11730,11737,11941,11954,11988,12020,12122,12177,12378,3485,10954,11001,11004,11035,11059,11095,11133,11169,12193,12196,12199,12202,12392,12395,12398,12401,12477,12654,3486,10613,10663,10885,10977,11098,11790,12024,12033,12128,12139,12158,12163,12205,12228,3560,12353,4709,10534,11019,11062,11071,11900,11922,12092,12095,12098,12101,12189,12208,12211,12224,12276,12279,12282,12285,12445,12448,12541,12544,12647,3636,10836,11106,11150,11381,11460,11539,11714,11950,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,11967,12001,12270,12273,12307,12354,12381,12519,12563,12569,12666,12669,12691,3545,10867,10897,10906,10909,11489,11697,12688,3583,3577,4001,3938,10537,11870,11904,4719,10488,10855,10858,11344,11362,11833,11890,11926,11951,12051,12080,12083,12086,12089,12349,3505,10900,11056,11126,11874,11905,12050,12250,12453,3962,4301,4716,3973,4008,4701,4704,3460,3464,4703,4702,3795,4732,10769,10772,4737,11238,11422,11530,11547,11587,4084,11584,11925,11929,12600,12608,3928,11166,11172,11190,12174,12300,12384,3779,11300,11425,12410,12516,12526,12605,12657,4258,3930,10903,11263,11431,11465,11476,12320,12604,3745,10819,10822,10912,11082,4735,11864,4736,10775,11410,12472,12481,12522,4357,11041,12502,4264,3961,3907,4733,10510,10513,10861,10864,11751,11930,4734,11844,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5607,5612,5614,5650,5652,5653,5655,5656,5658,5659,5661,5670,5675,5677,5678,5679,5680,5681,5682,5691,5701,5704,5715,5731,5732,5735,5745,5747,5748,5749,5774,5784,5799,5800,5809,5810,5812,5814,5819,5854,5859,5861,5921,5955,5956,5961,5967,5970,5971,5972,5973,5991,5994,5995,6003,6024,6054,6073,6076,6077,6079,6088,6103,6107,6110,6111,6112,6130,6141,6142,6173,6174,6178,6199,6202,6205,6227,6228,6254,6257,6265,6275,6283,6287,6294,6295,6296,6297,6333,6350,6401,6437,6439,6459,6460,6466,6470,6471,6474,6488,6503,6524,6525,6528,6531,6541,6556,6577,6584,6586,6601,6602,6605,6606,6608,6610,6611,6612,6614,6616,6619,6624,6625,6627,6628,6634,6636,6641,6678,6683,6699,6701,6702,6703,6738,6743,6745,6750,6751,6759,6763,6776,6799,6800,6802,6803,6814,6820,6838,6841,6859,6889,6890,6891,6897,6910,6929,6931,6933,6935,6940,6946,6948,6963,6968,6969,7004,7005,7006,7020,7021,7023,7024,7043,7045,7061,7086,7108,7119,7121,7123,7125,7126,7160,7161,7164,7165,7172,7173,7175,7177,7199,7208,7209,7220,7230,7269,7280,7284,7291,7302,7307,7309,7316,7325,7326,7339,7356,7375,7377,7395,7447,7448,7449,7451,7453,7457,7462,7526,7555,7570,7575,7586,7618,7621,7644,7666,7684,7687,7688,7698,7718,7720,7722,7724,7725,7726,7751,7777,7778,7809,7811,7812,7813,7818,7841,7859,7864,7870,7872,7879,7891,7892,7894,7917,7924,7947,8013,8014,8015,8063,8069,8070,8093,8094,8111,8112,8175,8176,8205,8236,8246,8257,8268,8300,8304,8310,8322,8340,8345,8368,8412,8441,8455,8474,8477,8503,8529,8595,8596,8599,8600,8672,8706,8707,8708,8709,8737,8769,8800,8807,8808,8849,8870,8914,8929,8975,8978,8993,9000,9042,9088,9089,9108,9109,9247,9253,9257,9277,9289,9312,9314,9317,9321,9324,9325,9335,9336,9355,9361,9371,9379,9425,9441,9501,9502,9508,9547,9571,9577,9616,9626,9629,9631,9632,9645,9669,9686,9700,9701,9705,9707,9737])).
% 164.85/165.16 cnf(12752,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x127521),x127522),f198(f926(x127521,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(12755,plain,
% 164.85/165.16 (P32(x127551,x127552,f126(x127551))),
% 164.85/165.16 inference(rename_variables,[],[3418])).
% 164.85/165.16 cnf(12758,plain,
% 164.85/165.16 (E(f334(f199(f920(x127581)),f179(x127581,x127582,x127583)),x127582)),
% 164.85/165.16 inference(rename_variables,[],[3551])).
% 164.85/165.16 cnf(12761,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x127611),x127612),f198(f926(x127611,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(12767,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x127671),x127671))),
% 164.85/165.16 inference(rename_variables,[],[4709])).
% 164.85/165.16 cnf(12770,plain,
% 164.85/165.16 (P107(f334(f334(f336(x127701),x127702),f256(f926(x127701,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3636])).
% 164.85/165.16 cnf(12774,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x127741,a913)),x127742),x127742))),
% 164.85/165.16 inference(rename_variables,[],[3779])).
% 164.85/165.16 cnf(12777,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x127771),x127772),f198(f926(x127771,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(12780,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),f2(a1)),f334(f334(f258(a1),f334(f84(a1),x127801)),x127802)))),
% 164.85/165.16 inference(rename_variables,[],[3961])).
% 164.85/165.16 cnf(12783,plain,
% 164.85/165.16 (E(f35(x127831,x127832,x127833,x127834,x127835,x127836,x127837,x127838,x127839,a26),x127832)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(12785,plain,
% 164.85/165.16 (E(f35(x127851,x127852,x127853,x127854,x127855,x127856,x127857,x127858,x127859,a26),x127852)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(12787,plain,
% 164.85/165.16 (P22(x127871,x127872,f198(f926(f918(x127871),a913)))),
% 164.85/165.16 inference(rename_variables,[],[3539])).
% 164.85/165.16 cnf(12793,plain,
% 164.85/165.16 (E(f35(x127931,x127932,x127933,x127934,x127935,x127936,x127937,x127938,x127939,a26),x127932)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(12807,plain,
% 164.85/165.16 (E(f35(x128071,x128072,x128073,x128074,x128075,x128076,x128077,x128078,x128079,a26),x128072)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(12809,plain,
% 164.85/165.16 (P23(x128091,x128091,f5(x128091),x128092)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(12811,plain,
% 164.85/165.16 (P23(x128111,x128111,f5(x128111),x128112)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(12814,plain,
% 164.85/165.16 (E(f334(f334(x128141,x128142),f334(f194(x128143,x128144,x128141),x128142)),f334(f194(x128143,x128144,x128141),f334(a125,x128142)))),
% 164.85/165.16 inference(rename_variables,[],[3881])).
% 164.85/165.16 cnf(12818,plain,
% 164.85/165.16 (E(f35(x128181,x128182,x128183,x128184,x128185,x128186,x128187,x128188,x128189,a26),x128182)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(12822,plain,
% 164.85/165.16 (E(f35(x128221,x128222,x128223,x128224,x128225,x128226,x128227,x128228,x128229,a26),x128222)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(12824,plain,
% 164.85/165.16 (E(f35(x128241,x128242,x128243,x128244,x128245,x128246,x128247,x128248,x128249,a26),x128242)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(12828,plain,
% 164.85/165.16 (P55(x128281,f198(f926(x128281,a913)),x128282)),
% 164.85/165.16 inference(rename_variables,[],[3503])).
% 164.85/165.16 cnf(12836,plain,
% 164.85/165.16 (P24(x128361,x128361,f25(x128361),x128362,x128362)),
% 164.85/165.16 inference(rename_variables,[],[4142])).
% 164.85/165.16 cnf(12838,plain,
% 164.85/165.16 (P24(x128381,x128381,f25(x128381),x128382,x128382)),
% 164.85/165.16 inference(rename_variables,[],[4142])).
% 164.85/165.16 cnf(12840,plain,
% 164.85/165.16 (P24(x128401,x128401,f25(x128401),x128402,x128402)),
% 164.85/165.16 inference(rename_variables,[],[4142])).
% 164.85/165.16 cnf(12847,plain,
% 164.85/165.16 (E(f198(f926(f925(x128471,x128471),a913)),f255(x128471,f198(f926(x128471,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3555])).
% 164.85/165.16 cnf(12849,plain,
% 164.85/165.16 (E(f35(x128491,x128492,x128493,x128494,x128495,x128496,x128497,x128498,x128499,a26),x128492)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(12851,plain,
% 164.85/165.16 (P38(x128511,f163(x128511,x128512))),
% 164.85/165.16 inference(rename_variables,[],[3352])).
% 164.85/165.16 cnf(12855,plain,
% 164.85/165.16 (E(f35(x128551,x128552,x128553,x128554,x128555,x128556,x128557,x128558,x128559,a26),x128552)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(12861,plain,
% 164.85/165.16 (P54(x128611,x128611,f255(x128611,x128612))),
% 164.85/165.16 inference(rename_variables,[],[3454])).
% 164.85/165.16 cnf(12867,plain,
% 164.85/165.16 (P41(x128671,x128672,f255(x128671,x128672))),
% 164.85/165.16 inference(rename_variables,[],[3453])).
% 164.85/165.16 cnf(12869,plain,
% 164.85/165.16 (P41(x128691,x128692,f255(x128691,x128692))),
% 164.85/165.16 inference(rename_variables,[],[3453])).
% 164.85/165.16 cnf(12873,plain,
% 164.85/165.16 (P44(x128731,x128732,x128733,x128734,f198(f926(x128731,a913)),x128734)),
% 164.85/165.16 inference(rename_variables,[],[4418])).
% 164.85/165.16 cnf(12880,plain,
% 164.85/165.16 (E(f35(x128801,x128802,x128803,x128804,x128805,x128806,x128807,x128808,x128809,a26),x128802)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(12885,plain,
% 164.85/165.16 (E(f35(x128851,x128852,x128853,x128854,x128855,x128856,x128857,x128858,x128859,a26),x128852)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(12887,plain,
% 164.85/165.16 (P13(x128871,f926(x128871,a913),f316(x128871))),
% 164.85/165.16 inference(rename_variables,[],[3457])).
% 164.85/165.16 cnf(12895,plain,
% 164.85/165.16 (E(f35(x128951,x128952,x128953,x128954,x128955,x128956,x128957,x128958,x128959,a26),x128952)),
% 164.85/165.16 inference(rename_variables,[],[4631])).
% 164.85/165.16 cnf(12898,plain,
% 164.85/165.16 (E(f198(f926(f925(x128981,x128981),a913)),f255(x128981,f198(f926(x128981,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3555])).
% 164.85/165.16 cnf(12902,plain,
% 164.85/165.16 (P33(x129021,x129022,f126(x129021),f126(x129021))),
% 164.85/165.16 inference(rename_variables,[],[3725])).
% 164.85/165.16 cnf(12904,plain,
% 164.85/165.16 (P33(x129041,x129042,f126(x129041),f126(x129041))),
% 164.85/165.16 inference(rename_variables,[],[3725])).
% 164.85/165.16 cnf(12921,plain,
% 164.85/165.16 (E(f334(f292(x129211,x129211),f255(x129211,x129212)),x129212)),
% 164.85/165.16 inference(rename_variables,[],[3442])).
% 164.85/165.16 cnf(12928,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x129281),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(12937,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a1),f334(f113(a1),x129371)),f334(f88(a1),f334(f113(a1),x129372))))),
% 164.85/165.16 inference(rename_variables,[],[4731])).
% 164.85/165.16 cnf(12947,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x129471),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(12950,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x129501),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(12953,plain,
% 164.85/165.16 (P107(f334(f70(a919),f312(a919,x129531,x129532)))),
% 164.85/165.16 inference(rename_variables,[],[3687])).
% 164.85/165.16 cnf(12956,plain,
% 164.85/165.16 (P107(f334(f70(a919),f312(a919,x129561,x129562)))),
% 164.85/165.16 inference(rename_variables,[],[3687])).
% 164.85/165.16 cnf(12959,plain,
% 164.85/165.16 (P107(f334(f70(a919),f312(a919,x129591,x129592)))),
% 164.85/165.16 inference(rename_variables,[],[3687])).
% 164.85/165.16 cnf(12962,plain,
% 164.85/165.16 (P107(f334(f70(a919),f312(a919,x129621,x129622)))),
% 164.85/165.16 inference(rename_variables,[],[3687])).
% 164.85/165.16 cnf(12969,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),f334(f88(a1),f334(f113(a1),x129691))),f334(f113(a1),x129692)))),
% 164.85/165.16 inference(rename_variables,[],[3962])).
% 164.85/165.16 cnf(12974,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x129741),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(12975,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x129751),x129751))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(12982,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x129821),f334(a125,x129821)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(12989,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x129891),x129891))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(12992,plain,
% 164.85/165.16 (P107(f334(f70(a919),f312(a919,x129921,x129922)))),
% 164.85/165.16 inference(rename_variables,[],[3687])).
% 164.85/165.16 cnf(12995,plain,
% 164.85/165.16 (P107(f334(f70(a919),f312(a919,x129951,x129952)))),
% 164.85/165.16 inference(rename_variables,[],[3687])).
% 164.85/165.16 cnf(12998,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x129981),x129981))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(12999,plain,
% 164.85/165.16 (~E(f334(a125,x129991),f2(a919))),
% 164.85/165.16 inference(rename_variables,[],[4660])).
% 164.85/165.16 cnf(13016,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),f54(a919,x130161,x130162)),x130161))),
% 164.85/165.16 inference(rename_variables,[],[3938])).
% 164.85/165.16 cnf(13021,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x130211),f334(a125,x130211)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(13024,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x130241),f334(a125,x130241)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(13025,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x130251),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(13034,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a1),f334(f113(a1),x130341)),f2(a1)))),
% 164.85/165.16 inference(rename_variables,[],[4726])).
% 164.85/165.16 cnf(13035,plain,
% 164.85/165.16 (P107(f334(f256(f926(x130351,a913)),x130352))),
% 164.85/165.16 inference(rename_variables,[],[3545])).
% 164.85/165.16 cnf(13038,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a1),f334(f113(a1),x130381)),f2(a1)))),
% 164.85/165.16 inference(rename_variables,[],[4726])).
% 164.85/165.16 cnf(13039,plain,
% 164.85/165.16 (P107(f334(f256(f926(x130391,a913)),x130392))),
% 164.85/165.16 inference(rename_variables,[],[3545])).
% 164.85/165.16 cnf(13042,plain,
% 164.85/165.16 (P107(f334(f256(f926(x130421,a913)),x130422))),
% 164.85/165.16 inference(rename_variables,[],[3545])).
% 164.85/165.16 cnf(13053,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x130531),x130532),f198(f926(x130531,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(13054,plain,
% 164.85/165.16 (P107(f334(f70(x130541),f198(f926(x130541,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3560])).
% 164.85/165.16 cnf(13063,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),f2(a919)),x130631))),
% 164.85/165.16 inference(rename_variables,[],[3505])).
% 164.85/165.16 cnf(13066,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x130661),f334(a125,x130661)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(13067,plain,
% 164.85/165.16 (~E(f334(a125,x130671),x130671)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(13070,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x130701),x130702),f198(f926(x130701,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(13073,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x130731),x130732),f198(f926(x130731,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(13076,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x130761),x130761))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(13084,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x130841),f334(a125,x130841)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(13087,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x130871),x130871))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(13092,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x130921),x130921))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(13095,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x130951),x130951))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(13098,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x130981),x130981))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(13101,plain,
% 164.85/165.16 (E(f334(f334(f23(f926(x131011,a913)),f198(f926(x131011,a913))),x131012),f198(f926(x131011,a913)))),
% 164.85/165.16 inference(rename_variables,[],[3749])).
% 164.85/165.16 cnf(13102,plain,
% 164.85/165.16 (P107(f334(f70(x131021),f198(f926(x131021,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3560])).
% 164.85/165.16 cnf(13105,plain,
% 164.85/165.16 (E(f334(f334(f23(f926(x131051,a913)),f198(f926(x131051,a913))),x131052),f198(f926(x131051,a913)))),
% 164.85/165.16 inference(rename_variables,[],[3749])).
% 164.85/165.16 cnf(13106,plain,
% 164.85/165.16 (P107(f334(f70(x131061),f198(f926(x131061,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3560])).
% 164.85/165.16 cnf(13109,plain,
% 164.85/165.16 (E(f334(f334(f23(f926(x131091,a913)),f198(f926(x131091,a913))),x131092),f198(f926(x131091,a913)))),
% 164.85/165.16 inference(rename_variables,[],[3749])).
% 164.85/165.16 cnf(13110,plain,
% 164.85/165.16 (P107(f334(f70(x131101),f198(f926(x131101,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3560])).
% 164.85/165.16 cnf(13113,plain,
% 164.85/165.16 (E(f334(f334(f23(f926(x131131,a913)),f198(f926(x131131,a913))),x131132),f198(f926(x131131,a913)))),
% 164.85/165.16 inference(rename_variables,[],[3749])).
% 164.85/165.16 cnf(13114,plain,
% 164.85/165.16 (P107(f334(f70(x131141),f198(f926(x131141,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3560])).
% 164.85/165.16 cnf(13117,plain,
% 164.85/165.16 (P107(f334(f334(f336(f920(x131171)),f126(x131171)),f171(x131171,x131172)))),
% 164.85/165.16 inference(rename_variables,[],[3677])).
% 164.85/165.16 cnf(13118,plain,
% 164.85/165.16 (E(f334(f292(x131181,x131181),f255(x131181,x131182)),x131182)),
% 164.85/165.16 inference(rename_variables,[],[3442])).
% 164.85/165.16 cnf(13123,plain,
% 164.85/165.16 (E(f334(f334(f23(f926(x131231,a913)),f198(f926(x131231,a913))),x131232),f198(f926(x131231,a913)))),
% 164.85/165.16 inference(rename_variables,[],[3749])).
% 164.85/165.16 cnf(13124,plain,
% 164.85/165.16 (P107(f334(f70(x131241),f198(f926(x131241,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3560])).
% 164.85/165.16 cnf(13128,plain,
% 164.85/165.16 (P107(f334(f70(x131281),f198(f926(x131281,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3560])).
% 164.85/165.16 cnf(13131,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x131311),x131311))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(13135,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x131351),x131351))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(13142,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x131421),x131421))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(13155,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x131551),x131551))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(13158,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x131581),x131581))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(13165,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x131651),x131652),f198(f926(x131651,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(13176,plain,
% 164.85/165.16 (P107(f334(f334(f336(x131761),x131762),f256(f926(x131761,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3636])).
% 164.85/165.16 cnf(13180,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x131801,a913)),x131802),x131802))),
% 164.85/165.16 inference(rename_variables,[],[3779])).
% 164.85/165.16 cnf(13186,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x131861),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(13187,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x131871),x131871))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(13191,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x131911),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(13192,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x131921),x131921))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(13196,plain,
% 164.85/165.16 (~P107(f334(f334(f182(x131961),f126(x131961)),x131962))),
% 164.85/165.16 inference(rename_variables,[],[4718])).
% 164.85/165.16 cnf(13201,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x132011),x132011))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(13208,plain,
% 164.85/165.16 (E(f334(f334(f16(x132081,x132082),x132083),x132084),x132083)),
% 164.85/165.16 inference(rename_variables,[],[3474])).
% 164.85/165.16 cnf(13211,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x132111,a913)),f334(f182(x132111),f186(x132111,x132112,x132113))),f334(f182(x132111),x132112)))),
% 164.85/165.16 inference(rename_variables,[],[4176])).
% 164.85/165.16 cnf(13213,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),f614(f334(x132131,f2(a919)),x132131,f2(a919))),f2(a919)))),
% 164.85/165.16 inference(scs_inference,[],[4743,4142,12684,12706,12836,12838,3717,11315,12364,12463,12466,12555,12597,12601,12609,12678,12809,3725,12430,12902,12904,3734,3453,12867,12869,3454,12861,3418,12755,4683,4684,11947,4418,12873,3457,12887,3291,3352,12851,3353,3354,4682,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,11989,12021,12338,12531,12735,12783,12785,12793,12807,12818,12822,12824,12849,12855,12880,12885,12895,3781,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,11850,12153,12178,12190,12219,12225,12317,12426,12590,12648,3540,3503,12828,3685,12125,4660,10652,10746,11203,11295,3090,3091,3093,3094,3097,3098,3100,3101,3102,3104,3110,3111,3112,3113,3116,3117,3121,3123,3124,3128,3131,3135,3137,3144,3147,3150,3153,3165,3168,3189,3190,3194,3211,3215,3216,3217,3229,3239,3242,3251,3252,3255,3256,3257,3258,4642,4643,3273,3351,4644,3821,4047,3465,3525,3442,12921,3413,12622,12626,12630,3428,3536,3940,4246,3396,3551,12119,12681,12758,3314,4033,11642,3539,12787,3379,3343,3800,3338,3537,4150,4041,3862,4021,3323,3324,3297,3303,3329,3952,3360,3541,11051,11175,12427,12638,3412,4116,4673,10491,10649,11503,12582,12623,12627,4680,12594,3474,11970,11973,4720,11229,11320,11550,11553,3881,12814,3587,3806,4698,3555,12847,12898,3376,3377,10558,10870,3639,3368,3294,3398,11632,4260,12612,12747,4118,11241,11378,11434,12566,12572,12695,12698,12725,4738,11153,11386,11497,11520,11558,11564,12510,4739,11274,11389,11500,4740,11392,4741,11452,4742,3397,3677,12469,12507,12593,13117,3846,3629,4533,4534,4671,11625,3783,3825,4110,3997,3749,13101,13105,13109,13113,13123,4043,12460,3663,3923,3552,10577,10688,10760,10830,10833,10873,10974,11219,12061,12149,12212,12288,12329,12404,12407,12729,12982,13021,13024,13066,13084,3933,11867,3467,3564,11710,3744,4713,10468,10471,10497,10982,10995,11111,11542,11635,12036,12041,12060,12264,12267,12350,12513,12616,12928,12947,12950,12974,13025,13186,13191,4726,11754,11781,11818,11847,13034,13038,3921,3686,3687,12953,12956,12959,12962,12992,4068,3511,3513,3487,4710,3375,4668,3872,4182,3670,4727,4253,11517,3805,3524,11992,11995,12434,12535,12709,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,11938,12054,12057,12615,4222,4181,12142,12484,4127,11048,12323,12491,4176,11244,12361,12433,12490,12534,3847,12152,12295,12371,12417,4146,4210,3864,11247,11325,11407,11471,12316,12385,12643,12705,12722,12732,4730,10998,11397,3484,10586,10675,10816,10880,11730,11737,11941,11954,11988,12020,12122,12177,12378,3485,10954,11001,11004,11035,11059,11095,11133,11169,12193,12196,12199,12202,12392,12395,12398,12401,12477,12654,12701,12975,12998,13076,13087,13092,13095,13098,13131,13142,13155,13201,3486,10613,10663,10885,10977,11098,11790,12024,12033,12128,12139,12158,12163,12205,12228,12245,12989,13135,13158,13187,13192,3560,12353,13054,13102,13106,13110,13114,13124,13128,4709,10534,11019,11062,11071,11900,11922,12092,12095,12098,12101,12189,12208,12211,12224,12276,12279,12282,12285,12445,12448,12541,12544,12647,12687,12767,3636,10836,11106,11150,11381,11460,11539,11714,11950,12589,12770,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,11967,12001,12270,12273,12307,12354,12381,12519,12563,12569,12666,12669,12691,12746,12752,12761,12777,13053,13070,13073,3545,10867,10897,10906,10909,11489,11697,12688,12702,13035,13039,13042,3583,3577,4001,3938,10537,11870,11904,13016,4719,10488,10855,10858,11344,11362,11833,11890,11926,11951,12051,12080,12083,12086,12089,12349,3505,10900,11056,11126,11874,11905,12050,12250,12453,12478,3962,11998,12969,4301,3692,4716,3973,4008,4701,4704,4705,3460,3464,4703,4702,3795,4396,4732,10769,10772,4737,11238,11422,11530,11547,11587,4084,11584,11925,11929,12600,12608,3928,11166,11172,11190,12174,12300,12384,3779,11300,11425,12410,12516,12526,12605,12657,12665,12774,4258,3930,10903,11263,11431,11465,11476,12320,12604,3745,10819,10822,10912,11082,3747,4735,11864,4731,12937,4736,10775,11410,12472,12481,12522,4357,11041,12502,4264,3961,12780,3907,3908,4733,10510,10513,10861,10864,11751,11930,12728,4734,11844,11935,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5607,5612,5614,5650,5652,5653,5655,5656,5658,5659,5661,5670,5675,5677,5678,5679,5680,5681,5682,5691,5701,5704,5715,5731,5732,5735,5745,5747,5748,5749,5774,5784,5799,5800,5809,5810,5812,5814,5819,5854,5859,5861,5921,5955,5956,5961,5967,5970,5971,5972,5973,5991,5994,5995,6003,6024,6054,6073,6076,6077,6079,6088,6103,6107,6110,6111,6112,6130,6141,6142,6173,6174,6178,6199,6202,6205,6227,6228,6254,6257,6265,6275,6283,6287,6294,6295,6296,6297,6333,6350,6401,6437,6439,6459,6460,6466,6470,6471,6474,6488,6503,6524,6525,6528,6531,6541,6556,6577,6584,6586,6601,6602,6605,6606,6608,6610,6611,6612,6614,6616,6619,6624,6625,6627,6628,6634,6636,6641,6678,6683,6699,6701,6702,6703,6738,6743,6745,6750,6751,6759,6763,6776,6799,6800,6802,6803,6814,6820,6838,6841,6859,6889,6890,6891,6897,6910,6929,6931,6933,6935,6940,6946,6948,6963,6968,6969,7004,7005,7006,7020,7021,7023,7024,7043,7045,7061,7086,7108,7119,7121,7123,7125,7126,7160,7161,7164,7165,7172,7173,7175,7177,7199,7208,7209,7220,7230,7269,7280,7284,7291,7302,7307,7309,7316,7325,7326,7339,7356,7375,7377,7395,7447,7448,7449,7451,7453,7457,7462,7526,7555,7570,7575,7586,7618,7621,7644,7666,7684,7687,7688,7698,7718,7720,7722,7724,7725,7726,7751,7777,7778,7809,7811,7812,7813,7818,7841,7859,7864,7870,7872,7879,7891,7892,7894,7917,7924,7947,8013,8014,8015,8063,8069,8070,8093,8094,8111,8112,8175,8176,8205,8236,8246,8257,8268,8300,8304,8310,8322,8340,8345,8368,8412,8441,8455,8474,8477,8503,8529,8595,8596,8599,8600,8672,8706,8707,8708,8709,8737,8769,8800,8807,8808,8849,8870,8914,8929,8975,8978,8993,9000,9042,9088,9089,9108,9109,9247,9253,9257,9277,9289,9312,9314,9317,9321,9324,9325,9335,9336,9355,9361,9371,9379,9425,9441,9501,9502,9508,9547,9571,9577,9616,9626,9629,9631,9632,9645,9669,9686,9700,9701,9705,9707,9737,9859,9907,9908,9949,9989,10105,10163,10306,10322,10327,3,2818,2819,2820,2821,2823,2825,2829,2830,2831,2841,2842,2843,2845,2846,2847,2852,2853,2854,2855,2856,2858,2866,2867,2870,2872,2875,2878,2879,2881,2882,2884,2885,2887,2888,2889,2890,2891,2892,2893,2894,2895,2901,2902,2903,2908,2909,2917,2918,2919,2923,2924,2925,2928,2931,2932,2933,2934,2939,2941,2945,2952,2954,2971,2972,2973,2988,2989,2991,2992,2995,2997,2998,3001,3007,3009,3020,3034,3049,3050,3052,3053,3056,3057,3070,5446,5623,5624,5625,5702,5798,5828,5862,5878,5880,5886,5949,5950,5951,5952,5959,5993,6125,6162,6172,6196,6231,6266,6418,6423,6457,6458,6479,6481,6483,6490,6491,6492,6493,6494,6495,6496,6497,6579,6648,6649,6737,6770,6771,6811,6812,6947,6962,7032,7033,7040,7062,7084,7092,7094,7140,7162,7163,7181,7182,7219,7263,7264,7363,7428,7429,7430,7431,7446,7478,7531,7532,7541,7546,7547,7558,7589,7590,7591,7592,7732,7733,7735,7737,7743,7744,7955,7961,7962,7972,8010,8131,8188,8210,8211,8227,8285,8381,8451,8452,8456,8489,8554])).
% 164.85/165.16 cnf(13215,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x132151),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(13216,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x132161),x132161))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(13220,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),x132201),f2(a919)))),
% 164.85/165.16 inference(rename_variables,[],[4713])).
% 164.85/165.16 cnf(13221,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),x132211),x132211))),
% 164.85/165.16 inference(rename_variables,[],[3486])).
% 164.85/165.16 cnf(13225,plain,
% 164.85/165.16 (~P107(f334(f334(f248(f926(a919,a913)),f310(a919,f334(a125,x132251),f334(a125,x132251))),f310(a919,x132252,x132251)))),
% 164.85/165.16 inference(scs_inference,[],[4743,4142,12684,12706,12836,12838,3717,11315,12364,12463,12466,12555,12597,12601,12609,12678,12809,3725,12430,12902,12904,3734,3453,12867,12869,3454,12861,3418,12755,4683,4684,11947,4418,12873,3457,12887,3291,3352,12851,3353,3354,4682,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,11989,12021,12338,12531,12735,12783,12785,12793,12807,12818,12822,12824,12849,12855,12880,12885,12895,3781,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,11850,12153,12178,12190,12219,12225,12317,12426,12590,12648,3540,3503,12828,3685,12125,4660,10652,10746,11203,11295,3090,3091,3093,3094,3097,3098,3100,3101,3102,3104,3110,3111,3112,3113,3116,3117,3121,3123,3124,3128,3131,3135,3137,3144,3147,3150,3153,3165,3168,3189,3190,3194,3211,3215,3216,3217,3229,3239,3242,3251,3252,3255,3256,3257,3258,4642,4643,3273,3351,4644,3821,4047,3465,3525,3442,12921,3413,12622,12626,12630,3428,3536,3940,4246,3396,3551,12119,12681,12758,3314,4033,11642,3539,12787,3379,3343,3800,3338,3537,4150,4041,3862,4021,3323,3324,3297,3303,3329,3952,3360,3541,11051,11175,12427,12638,3412,4116,4673,10491,10649,11503,12582,12623,12627,4680,12594,3474,11970,11973,4720,11229,11320,11550,11553,3881,12814,3587,3806,4698,3555,12847,12898,3376,3377,10558,10870,3639,3368,3294,3398,11632,4260,12612,12747,4118,11241,11378,11434,12566,12572,12695,12698,12725,4738,11153,11386,11497,11520,11558,11564,12510,4739,11274,11389,11500,4740,11392,4741,11452,4742,3397,3677,12469,12507,12593,13117,3846,3629,4533,4534,4671,11625,3783,3825,4110,3997,3749,13101,13105,13109,13113,13123,4043,12460,3663,3923,3552,10577,10688,10760,10830,10833,10873,10974,11219,12061,12149,12212,12288,12329,12404,12407,12729,12982,13021,13024,13066,13084,3933,11867,3467,3564,11710,3744,4713,10468,10471,10497,10982,10995,11111,11542,11635,12036,12041,12060,12264,12267,12350,12513,12616,12928,12947,12950,12974,13025,13186,13191,13215,4726,11754,11781,11818,11847,13034,13038,3921,3686,3687,12953,12956,12959,12962,12992,4068,3511,3513,3487,4710,3375,4668,3872,4182,3670,4727,4253,11517,3805,3524,11992,11995,12434,12535,12709,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,11938,12054,12057,12615,4222,4181,12142,12484,4127,11048,12323,12491,4176,11244,12361,12433,12490,12534,3847,12152,12295,12371,12417,4146,4210,3864,11247,11325,11407,11471,12316,12385,12643,12705,12722,12732,4730,10998,11397,3484,10586,10675,10816,10880,11730,11737,11941,11954,11988,12020,12122,12177,12378,3485,10954,11001,11004,11035,11059,11095,11133,11169,12193,12196,12199,12202,12392,12395,12398,12401,12477,12654,12701,12975,12998,13076,13087,13092,13095,13098,13131,13142,13155,13201,3486,10613,10663,10885,10977,11098,11790,12024,12033,12128,12139,12158,12163,12205,12228,12245,12989,13135,13158,13187,13192,13216,3560,12353,13054,13102,13106,13110,13114,13124,13128,4709,10534,11019,11062,11071,11900,11922,12092,12095,12098,12101,12189,12208,12211,12224,12276,12279,12282,12285,12445,12448,12541,12544,12647,12687,12767,3636,10836,11106,11150,11381,11460,11539,11714,11950,12589,12770,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,11967,12001,12270,12273,12307,12354,12381,12519,12563,12569,12666,12669,12691,12746,12752,12761,12777,13053,13070,13073,3545,10867,10897,10906,10909,11489,11697,12688,12702,13035,13039,13042,3583,3577,4001,3938,10537,11870,11904,13016,4719,10488,10855,10858,11344,11362,11833,11890,11926,11951,12051,12080,12083,12086,12089,12349,3505,10900,11056,11126,11874,11905,12050,12250,12453,12478,3962,11998,12969,4301,3692,4716,3973,4008,4701,4704,4705,3460,3464,4703,4702,3795,4396,4732,10769,10772,4737,11238,11422,11530,11547,11587,4084,11584,11925,11929,12600,12608,3928,11166,11172,11190,12174,12300,12384,3779,11300,11425,12410,12516,12526,12605,12657,12665,12774,4258,3930,10903,11263,11431,11465,11476,12320,12604,3745,10819,10822,10912,11082,3747,4735,11864,4731,12937,4736,10775,11410,12472,12481,12522,4357,11041,12502,4264,3961,12780,3907,3908,4733,10510,10513,10861,10864,11751,11930,12728,4734,11844,11935,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5607,5612,5614,5650,5652,5653,5655,5656,5658,5659,5661,5670,5675,5677,5678,5679,5680,5681,5682,5691,5701,5704,5715,5731,5732,5735,5745,5747,5748,5749,5774,5784,5799,5800,5809,5810,5812,5814,5819,5854,5859,5861,5921,5955,5956,5961,5967,5970,5971,5972,5973,5991,5994,5995,6003,6024,6054,6073,6076,6077,6079,6088,6103,6107,6110,6111,6112,6130,6141,6142,6173,6174,6178,6199,6202,6205,6227,6228,6254,6257,6265,6275,6283,6287,6294,6295,6296,6297,6333,6350,6401,6437,6439,6459,6460,6466,6470,6471,6474,6488,6503,6524,6525,6528,6531,6541,6556,6577,6584,6586,6601,6602,6605,6606,6608,6610,6611,6612,6614,6616,6619,6624,6625,6627,6628,6634,6636,6641,6678,6683,6699,6701,6702,6703,6738,6743,6745,6750,6751,6759,6763,6776,6799,6800,6802,6803,6814,6820,6838,6841,6859,6889,6890,6891,6897,6910,6929,6931,6933,6935,6940,6946,6948,6963,6968,6969,7004,7005,7006,7020,7021,7023,7024,7043,7045,7061,7086,7108,7119,7121,7123,7125,7126,7160,7161,7164,7165,7172,7173,7175,7177,7199,7208,7209,7220,7230,7269,7280,7284,7291,7302,7307,7309,7316,7325,7326,7339,7356,7375,7377,7395,7447,7448,7449,7451,7453,7457,7462,7526,7555,7570,7575,7586,7618,7621,7644,7666,7684,7687,7688,7698,7718,7720,7722,7724,7725,7726,7751,7777,7778,7809,7811,7812,7813,7818,7841,7859,7864,7870,7872,7879,7891,7892,7894,7917,7924,7947,8013,8014,8015,8063,8069,8070,8093,8094,8111,8112,8175,8176,8205,8236,8246,8257,8268,8300,8304,8310,8322,8340,8345,8368,8412,8441,8455,8474,8477,8503,8529,8595,8596,8599,8600,8672,8706,8707,8708,8709,8737,8769,8800,8807,8808,8849,8870,8914,8929,8975,8978,8993,9000,9042,9088,9089,9108,9109,9247,9253,9257,9277,9289,9312,9314,9317,9321,9324,9325,9335,9336,9355,9361,9371,9379,9425,9441,9501,9502,9508,9547,9571,9577,9616,9626,9629,9631,9632,9645,9669,9686,9700,9701,9705,9707,9737,9859,9907,9908,9949,9989,10105,10163,10306,10322,10327,3,2818,2819,2820,2821,2823,2825,2829,2830,2831,2841,2842,2843,2845,2846,2847,2852,2853,2854,2855,2856,2858,2866,2867,2870,2872,2875,2878,2879,2881,2882,2884,2885,2887,2888,2889,2890,2891,2892,2893,2894,2895,2901,2902,2903,2908,2909,2917,2918,2919,2923,2924,2925,2928,2931,2932,2933,2934,2939,2941,2945,2952,2954,2971,2972,2973,2988,2989,2991,2992,2995,2997,2998,3001,3007,3009,3020,3034,3049,3050,3052,3053,3056,3057,3070,5446,5623,5624,5625,5702,5798,5828,5862,5878,5880,5886,5949,5950,5951,5952,5959,5993,6125,6162,6172,6196,6231,6266,6418,6423,6457,6458,6479,6481,6483,6490,6491,6492,6493,6494,6495,6496,6497,6579,6648,6649,6737,6770,6771,6811,6812,6947,6962,7032,7033,7040,7062,7084,7092,7094,7140,7162,7163,7181,7182,7219,7263,7264,7363,7428,7429,7430,7431,7446,7478,7531,7532,7541,7546,7547,7558,7589,7590,7591,7592,7732,7733,7735,7737,7743,7744,7955,7961,7962,7972,8010,8131,8188,8210,8211,8227,8285,8381,8451,8452,8456,8489,8554,8555,8628,8648])).
% 164.85/165.16 cnf(13226,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x132261),x132261))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(13228,plain,
% 164.85/165.16 (~P107(f334(f334(f249(f926(a919,a913)),f310(a919,f334(a125,x132281),f334(a125,x132281))),f310(a919,x132282,x132281)))),
% 164.85/165.16 inference(scs_inference,[],[4743,4142,12684,12706,12836,12838,3717,11315,12364,12463,12466,12555,12597,12601,12609,12678,12809,3725,12430,12902,12904,3734,3453,12867,12869,3454,12861,3418,12755,4683,4684,11947,4418,12873,3457,12887,3291,3352,12851,3353,3354,4682,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,11989,12021,12338,12531,12735,12783,12785,12793,12807,12818,12822,12824,12849,12855,12880,12885,12895,3781,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,11850,12153,12178,12190,12219,12225,12317,12426,12590,12648,3540,3503,12828,3685,12125,4660,10652,10746,11203,11295,3090,3091,3093,3094,3097,3098,3100,3101,3102,3104,3110,3111,3112,3113,3116,3117,3121,3123,3124,3128,3131,3135,3137,3144,3147,3150,3153,3165,3168,3189,3190,3194,3211,3215,3216,3217,3229,3239,3242,3251,3252,3255,3256,3257,3258,4642,4643,3273,3351,4644,3821,4047,3465,3525,3442,12921,3413,12622,12626,12630,3428,3536,3940,4246,3396,3551,12119,12681,12758,3314,4033,11642,3539,12787,3379,3343,3800,3338,3537,4150,4041,3862,4021,3323,3324,3297,3303,3329,3952,3360,3541,11051,11175,12427,12638,3412,4116,4673,10491,10649,11503,12582,12623,12627,4680,12594,3474,11970,11973,4720,11229,11320,11550,11553,3881,12814,3587,3806,4698,3555,12847,12898,3376,3377,10558,10870,3639,3368,3294,3398,11632,4260,12612,12747,4118,11241,11378,11434,12566,12572,12695,12698,12725,4738,11153,11386,11497,11520,11558,11564,12510,4739,11274,11389,11500,4740,11392,4741,11452,4742,3397,3677,12469,12507,12593,13117,3846,3629,4533,4534,4671,11625,3783,3825,4110,3997,3749,13101,13105,13109,13113,13123,4043,12460,3663,3923,3552,10577,10688,10760,10830,10833,10873,10974,11219,12061,12149,12212,12288,12329,12404,12407,12729,12982,13021,13024,13066,13084,3933,11867,3467,3564,11710,3744,4713,10468,10471,10497,10982,10995,11111,11542,11635,12036,12041,12060,12264,12267,12350,12513,12616,12928,12947,12950,12974,13025,13186,13191,13215,4726,11754,11781,11818,11847,13034,13038,3921,3686,3687,12953,12956,12959,12962,12992,4068,3511,3513,3487,4710,3375,4668,3872,4182,3670,4727,4253,11517,3805,3524,11992,11995,12434,12535,12709,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,11938,12054,12057,12615,4222,4181,12142,12484,4127,11048,12323,12491,4176,11244,12361,12433,12490,12534,3847,12152,12295,12371,12417,4146,4210,3864,11247,11325,11407,11471,12316,12385,12643,12705,12722,12732,4730,10998,11397,3484,10586,10675,10816,10880,11730,11737,11941,11954,11988,12020,12122,12177,12378,3485,10954,11001,11004,11035,11059,11095,11133,11169,12193,12196,12199,12202,12392,12395,12398,12401,12477,12654,12701,12975,12998,13076,13087,13092,13095,13098,13131,13142,13155,13201,13226,3486,10613,10663,10885,10977,11098,11790,12024,12033,12128,12139,12158,12163,12205,12228,12245,12989,13135,13158,13187,13192,13216,3560,12353,13054,13102,13106,13110,13114,13124,13128,4709,10534,11019,11062,11071,11900,11922,12092,12095,12098,12101,12189,12208,12211,12224,12276,12279,12282,12285,12445,12448,12541,12544,12647,12687,12767,3636,10836,11106,11150,11381,11460,11539,11714,11950,12589,12770,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,11967,12001,12270,12273,12307,12354,12381,12519,12563,12569,12666,12669,12691,12746,12752,12761,12777,13053,13070,13073,3545,10867,10897,10906,10909,11489,11697,12688,12702,13035,13039,13042,3583,3577,4001,3938,10537,11870,11904,13016,4719,10488,10855,10858,11344,11362,11833,11890,11926,11951,12051,12080,12083,12086,12089,12349,3505,10900,11056,11126,11874,11905,12050,12250,12453,12478,3962,11998,12969,4301,3692,4716,3973,4008,4701,4704,4705,3460,3464,4703,4702,3795,4396,4732,10769,10772,4737,11238,11422,11530,11547,11587,4084,11584,11925,11929,12600,12608,3928,11166,11172,11190,12174,12300,12384,3779,11300,11425,12410,12516,12526,12605,12657,12665,12774,4258,3930,10903,11263,11431,11465,11476,12320,12604,3745,10819,10822,10912,11082,3747,4735,11864,4731,12937,4736,10775,11410,12472,12481,12522,4357,11041,12502,4264,3961,12780,3907,3908,4733,10510,10513,10861,10864,11751,11930,12728,4734,11844,11935,3931,10825,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5607,5612,5614,5650,5652,5653,5655,5656,5658,5659,5661,5670,5675,5677,5678,5679,5680,5681,5682,5691,5701,5704,5715,5731,5732,5735,5745,5747,5748,5749,5774,5784,5799,5800,5809,5810,5812,5814,5819,5854,5859,5861,5921,5955,5956,5961,5967,5970,5971,5972,5973,5991,5994,5995,6003,6024,6054,6073,6076,6077,6079,6088,6103,6107,6110,6111,6112,6130,6141,6142,6173,6174,6178,6199,6202,6205,6227,6228,6254,6257,6265,6275,6283,6287,6294,6295,6296,6297,6333,6350,6401,6437,6439,6459,6460,6466,6470,6471,6474,6488,6503,6524,6525,6528,6531,6541,6556,6577,6584,6586,6601,6602,6605,6606,6608,6610,6611,6612,6614,6616,6619,6624,6625,6627,6628,6634,6636,6641,6678,6683,6699,6701,6702,6703,6738,6743,6745,6750,6751,6759,6763,6776,6799,6800,6802,6803,6814,6820,6838,6841,6859,6889,6890,6891,6897,6910,6929,6931,6933,6935,6940,6946,6948,6963,6968,6969,7004,7005,7006,7020,7021,7023,7024,7043,7045,7061,7086,7108,7119,7121,7123,7125,7126,7160,7161,7164,7165,7172,7173,7175,7177,7199,7208,7209,7220,7230,7269,7280,7284,7291,7302,7307,7309,7316,7325,7326,7339,7356,7375,7377,7395,7447,7448,7449,7451,7453,7457,7462,7526,7555,7570,7575,7586,7618,7621,7644,7666,7684,7687,7688,7698,7718,7720,7722,7724,7725,7726,7751,7777,7778,7809,7811,7812,7813,7818,7841,7859,7864,7870,7872,7879,7891,7892,7894,7917,7924,7947,8013,8014,8015,8063,8069,8070,8093,8094,8111,8112,8175,8176,8205,8236,8246,8257,8268,8300,8304,8310,8322,8340,8345,8368,8412,8441,8455,8474,8477,8503,8529,8595,8596,8599,8600,8672,8706,8707,8708,8709,8737,8769,8800,8807,8808,8849,8870,8914,8929,8975,8978,8993,9000,9042,9088,9089,9108,9109,9247,9253,9257,9277,9289,9312,9314,9317,9321,9324,9325,9335,9336,9355,9361,9371,9379,9425,9441,9501,9502,9508,9547,9571,9577,9616,9626,9629,9631,9632,9645,9669,9686,9700,9701,9705,9707,9737,9859,9907,9908,9949,9989,10105,10163,10306,10322,10327,3,2818,2819,2820,2821,2823,2825,2829,2830,2831,2841,2842,2843,2845,2846,2847,2852,2853,2854,2855,2856,2858,2866,2867,2870,2872,2875,2878,2879,2881,2882,2884,2885,2887,2888,2889,2890,2891,2892,2893,2894,2895,2901,2902,2903,2908,2909,2917,2918,2919,2923,2924,2925,2928,2931,2932,2933,2934,2939,2941,2945,2952,2954,2971,2972,2973,2988,2989,2991,2992,2995,2997,2998,3001,3007,3009,3020,3034,3049,3050,3052,3053,3056,3057,3070,5446,5623,5624,5625,5702,5798,5828,5862,5878,5880,5886,5949,5950,5951,5952,5959,5993,6125,6162,6172,6196,6231,6266,6418,6423,6457,6458,6479,6481,6483,6490,6491,6492,6493,6494,6495,6496,6497,6579,6648,6649,6737,6770,6771,6811,6812,6947,6962,7032,7033,7040,7062,7084,7092,7094,7140,7162,7163,7181,7182,7219,7263,7264,7363,7428,7429,7430,7431,7446,7478,7531,7532,7541,7546,7547,7558,7589,7590,7591,7592,7732,7733,7735,7737,7743,7744,7955,7961,7962,7972,8010,8131,8188,8210,8211,8227,8285,8381,8451,8452,8456,8489,8554,8555,8628,8648,8649])).
% 164.85/165.16 cnf(13229,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x132291),x132291))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(13232,plain,
% 164.85/165.16 (~P107(f334(f334(f248(a919),f334(a125,x132321)),x132321))),
% 164.85/165.16 inference(rename_variables,[],[4719])).
% 164.85/165.16 cnf(13238,plain,
% 164.85/165.16 (P107(f334(f334(f336(x132381),f334(x132382,x132383)),f334(f317(x132384,x132381,x132382),f256(f926(x132384,a913)))))),
% 164.85/165.16 inference(rename_variables,[],[4084])).
% 164.85/165.16 cnf(13239,plain,
% 164.85/165.16 (P23(x132391,x132391,f5(x132391),x132392)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(13243,plain,
% 164.85/165.16 (P107(f334(f334(f336(x132431),x132432),f256(f926(x132431,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3636])).
% 164.85/165.16 cnf(13244,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x132441),x132442),f198(f926(x132441,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(13248,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x132481,a913)),x132482),f256(f926(x132481,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3864])).
% 164.85/165.16 cnf(13249,plain,
% 164.85/165.16 (P23(x132491,x132491,f5(x132491),x132492)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(13253,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x132531,a913)),x132532),f256(f926(x132531,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3864])).
% 164.85/165.16 cnf(13254,plain,
% 164.85/165.16 (P23(x132541,x132541,f5(x132541),x132542)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(13258,plain,
% 164.85/165.16 (P23(x132581,x132581,f5(x132581),x132582)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(13261,plain,
% 164.85/165.16 (~P107(f334(f334(f249(f926(x132611,a913)),x132612),f198(f926(x132611,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4730])).
% 164.85/165.16 cnf(13264,plain,
% 164.85/165.16 (P23(x132641,x132641,f5(x132641),x132642)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(13267,plain,
% 164.85/165.16 (P23(x132671,x132671,f5(x132671),x132672)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(13273,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x132731,a913)),x132732),f256(f926(x132731,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3864])).
% 164.85/165.16 cnf(13278,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x132781,a913)),f198(f926(x132781,a913))),x132782))),
% 164.85/165.16 inference(rename_variables,[],[3930])).
% 164.85/165.16 cnf(13282,plain,
% 164.85/165.16 (E(f334(f292(x132821,x132821),f255(x132821,x132822)),x132822)),
% 164.85/165.16 inference(rename_variables,[],[3442])).
% 164.85/165.16 cnf(13286,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x132861),x132862),f198(f926(x132861,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(13291,plain,
% 164.85/165.16 (P23(x132911,x132911,f5(x132911),x132912)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(13294,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x132941,a913)),x132942),f256(f926(x132941,a913))))),
% 164.85/165.16 inference(rename_variables,[],[3864])).
% 164.85/165.16 cnf(13302,plain,
% 164.85/165.16 (E(f334(f334(f16(x133021,x133022),x133023),x133024),x133023)),
% 164.85/165.16 inference(rename_variables,[],[3474])).
% 164.85/165.16 cnf(13305,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x133051),x133052),f198(f926(x133051,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(13308,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x133081),x133082),f198(f926(x133081,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(13315,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x133151),f334(a125,x133151)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(13316,plain,
% 164.85/165.16 (~E(f334(a125,x133161),x133161)),
% 164.85/165.16 inference(rename_variables,[],[4648])).
% 164.85/165.16 cnf(13319,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x133191),f334(a125,f334(f334(f89(a919),x133192),x133191))))),
% 164.85/165.16 inference(rename_variables,[],[3931])).
% 164.85/165.16 cnf(13320,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),x133201),f334(a125,x133201)))),
% 164.85/165.16 inference(rename_variables,[],[3552])).
% 164.85/165.16 cnf(13322,plain,
% 164.85/165.16 (~E(f334(f334(f90(a919),f334(a125,f2(a919))),f132(x133221)),f334(f334(f90(a919),f334(a125,f2(a919))),f138(x133221,x133222,x133223)))),
% 164.85/165.16 inference(scs_inference,[],[4743,4142,12684,12706,12836,12838,12840,3717,11315,12364,12463,12466,12555,12597,12601,12609,12678,12809,12811,13239,13249,13254,13258,13264,13267,3725,12430,12902,12904,3734,3453,12867,12869,3454,12861,3418,12755,4683,4684,11947,4418,12873,3457,12887,3291,3352,12851,3353,3354,4682,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,11989,12021,12338,12531,12735,12783,12785,12793,12807,12818,12822,12824,12849,12855,12880,12885,12895,3781,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,11850,12153,12178,12190,12219,12225,12317,12426,12590,12648,13067,13316,3540,3503,12828,3685,12125,4660,10652,10746,11203,11295,3090,3091,3093,3094,3097,3098,3100,3101,3102,3104,3110,3111,3112,3113,3116,3117,3121,3123,3124,3128,3131,3135,3137,3144,3147,3150,3153,3165,3168,3189,3190,3194,3211,3215,3216,3217,3229,3239,3242,3251,3252,3255,3256,3257,3258,4642,4643,3273,3351,4644,3821,4047,3465,3525,3442,12921,13118,3413,12622,12626,12630,3428,3536,3940,4246,3396,3551,12119,12681,12758,3314,3315,4033,11642,3539,12787,3379,3343,3800,3338,3537,4150,4041,3862,4477,4021,3323,3324,3297,3303,3329,3952,3360,3541,11051,11175,12427,12638,3412,4116,4673,10491,10649,11503,12582,12623,12627,4680,12594,3474,11970,11973,13208,4720,11229,11320,11550,11553,3881,12814,3471,3587,3806,4698,3555,12847,12898,3376,3377,10558,10870,4707,3639,3368,3294,3398,11632,4260,12612,12747,4118,11241,11378,11434,12566,12572,12695,12698,12725,4738,11153,11386,11497,11520,11558,11564,12510,4739,11274,11389,11500,4740,11392,11445,4741,11452,4742,3397,3677,12469,12507,12593,13117,3846,3629,4533,4534,4671,11625,3783,3825,4110,3997,3749,13101,13105,13109,13113,13123,4043,12460,3663,3923,3552,10577,10688,10760,10830,10833,10873,10974,11219,12061,12149,12212,12288,12329,12404,12407,12729,12982,13021,13024,13066,13084,13315,3933,11867,3467,3564,11710,3744,4713,10468,10471,10497,10982,10995,11111,11542,11635,12036,12041,12060,12264,12267,12350,12513,12616,12928,12947,12950,12974,13025,13186,13191,13215,4726,11754,11781,11818,11847,13034,13038,3921,3686,3687,12953,12956,12959,12962,12992,4068,3511,3513,3487,4710,3375,4668,3872,4182,3670,4727,4253,11517,3805,3524,11992,11995,12434,12535,12709,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,11938,12054,12057,12615,13196,4222,4181,12142,12484,4127,11048,12323,12491,4176,11244,12361,12433,12490,12534,3847,12152,12295,12371,12417,4146,4210,3864,11247,11325,11407,11471,12316,12385,12643,12705,12722,12732,13248,13253,13273,4730,10998,11397,12494,13261,3484,10586,10675,10816,10880,11730,11737,11941,11954,11988,12020,12122,12177,12378,3485,10954,11001,11004,11035,11059,11095,11133,11169,12193,12196,12199,12202,12392,12395,12398,12401,12477,12654,12701,12975,12998,13076,13087,13092,13095,13098,13131,13142,13155,13201,13226,13229,3486,10613,10663,10885,10977,11098,11790,12024,12033,12128,12139,12158,12163,12205,12228,12245,12989,13135,13158,13187,13192,13216,3560,12353,13054,13102,13106,13110,13114,13124,13128,4709,10534,11019,11062,11071,11900,11922,12092,12095,12098,12101,12189,12208,12211,12224,12276,12279,12282,12285,12445,12448,12541,12544,12647,12687,12767,3636,10836,11106,11150,11381,11460,11539,11714,11950,12589,12770,13176,13243,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,11967,12001,12270,12273,12307,12354,12381,12519,12563,12569,12666,12669,12691,12746,12752,12761,12777,13053,13070,13073,13165,13244,13286,13305,3545,10867,10897,10906,10909,11489,11697,12688,12702,13035,13039,13042,3583,3577,4001,3938,10537,11870,11904,13016,4719,10488,10855,10858,11344,11362,11833,11890,11926,11951,12051,12080,12083,12086,12089,12349,13232,3505,10900,11056,11126,11874,11905,12050,12250,12453,12478,3962,11998,12969,4301,3692,4716,3973,4008,4701,4704,4705,3460,3464,4703,4702,3795,11863,4396,4732,10769,10772,4737,11238,11422,11530,11547,11587,4084,11584,11925,11929,12600,12608,12694,13238,3928,11166,11172,11190,12174,12300,12384,12662,3779,11300,11425,12410,12516,12526,12605,12657,12665,12774,4258,3930,10903,11263,11431,11465,11476,12320,12604,12651,3745,10819,10822,10912,11082,3747,4735,11864,4731,12937,4736,10775,11410,12472,12481,12522,4357,11041,12502,12525,4264,3961,12780,3907,3908,4733,10510,10513,10861,10864,11751,11930,12728,4734,11844,11935,3931,10825,11088,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5607,5612,5614,5650,5652,5653,5655,5656,5658,5659,5661,5670,5675,5677,5678,5679,5680,5681,5682,5691,5701,5704,5715,5731,5732,5735,5745,5747,5748,5749,5774,5784,5799,5800,5809,5810,5812,5814,5819,5854,5859,5861,5921,5955,5956,5961,5967,5970,5971,5972,5973,5991,5994,5995,6003,6024,6054,6073,6076,6077,6079,6088,6103,6107,6110,6111,6112,6130,6141,6142,6173,6174,6178,6199,6202,6205,6227,6228,6254,6257,6265,6275,6283,6287,6294,6295,6296,6297,6333,6350,6401,6437,6439,6459,6460,6466,6470,6471,6474,6488,6503,6524,6525,6528,6531,6541,6556,6577,6584,6586,6601,6602,6605,6606,6608,6610,6611,6612,6614,6616,6619,6624,6625,6627,6628,6634,6636,6641,6678,6683,6699,6701,6702,6703,6738,6743,6745,6750,6751,6759,6763,6776,6799,6800,6802,6803,6814,6820,6838,6841,6859,6889,6890,6891,6897,6910,6929,6931,6933,6935,6940,6946,6948,6963,6968,6969,7004,7005,7006,7020,7021,7023,7024,7043,7045,7061,7086,7108,7119,7121,7123,7125,7126,7160,7161,7164,7165,7172,7173,7175,7177,7199,7208,7209,7220,7230,7269,7280,7284,7291,7302,7307,7309,7316,7325,7326,7339,7356,7375,7377,7395,7447,7448,7449,7451,7453,7457,7462,7526,7555,7570,7575,7586,7618,7621,7644,7666,7684,7687,7688,7698,7718,7720,7722,7724,7725,7726,7751,7777,7778,7809,7811,7812,7813,7818,7841,7859,7864,7870,7872,7879,7891,7892,7894,7917,7924,7947,8013,8014,8015,8063,8069,8070,8093,8094,8111,8112,8175,8176,8205,8236,8246,8257,8268,8300,8304,8310,8322,8340,8345,8368,8412,8441,8455,8474,8477,8503,8529,8595,8596,8599,8600,8672,8706,8707,8708,8709,8737,8769,8800,8807,8808,8849,8870,8914,8929,8975,8978,8993,9000,9042,9088,9089,9108,9109,9247,9253,9257,9277,9289,9312,9314,9317,9321,9324,9325,9335,9336,9355,9361,9371,9379,9425,9441,9501,9502,9508,9547,9571,9577,9616,9626,9629,9631,9632,9645,9669,9686,9700,9701,9705,9707,9737,9859,9907,9908,9949,9989,10105,10163,10306,10322,10327,3,2818,2819,2820,2821,2823,2825,2829,2830,2831,2841,2842,2843,2845,2846,2847,2852,2853,2854,2855,2856,2858,2866,2867,2870,2872,2875,2878,2879,2881,2882,2884,2885,2887,2888,2889,2890,2891,2892,2893,2894,2895,2901,2902,2903,2908,2909,2917,2918,2919,2923,2924,2925,2928,2931,2932,2933,2934,2939,2941,2945,2952,2954,2971,2972,2973,2988,2989,2991,2992,2995,2997,2998,3001,3007,3009,3020,3034,3049,3050,3052,3053,3056,3057,3070,5446,5623,5624,5625,5702,5798,5828,5862,5878,5880,5886,5949,5950,5951,5952,5959,5993,6125,6162,6172,6196,6231,6266,6418,6423,6457,6458,6479,6481,6483,6490,6491,6492,6493,6494,6495,6496,6497,6579,6648,6649,6737,6770,6771,6811,6812,6947,6962,7032,7033,7040,7062,7084,7092,7094,7140,7162,7163,7181,7182,7219,7263,7264,7363,7428,7429,7430,7431,7446,7478,7531,7532,7541,7546,7547,7558,7589,7590,7591,7592,7732,7733,7735,7737,7743,7744,7955,7961,7962,7972,8010,8131,8188,8210,8211,8227,8285,8381,8451,8452,8456,8489,8554,8555,8628,8648,8649,8650,8651,8803,9035,9061,9062,9140,9156,9211,9212,9332,9364,9389,9426,9468,9667,9802,9944,10132,10188,10190,10338,6561,6562,6651])).
% 164.85/165.16 cnf(13329,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),f2(a1)),f334(f113(a1),x133291)))),
% 164.85/165.16 inference(rename_variables,[],[3583])).
% 164.85/165.16 cnf(13332,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),f2(a919)),x133321))),
% 164.85/165.16 inference(rename_variables,[],[3505])).
% 164.85/165.16 cnf(13336,plain,
% 164.85/165.16 (~E(f334(a125,x133361),f2(a919))),
% 164.85/165.16 inference(rename_variables,[],[4660])).
% 164.85/165.16 cnf(13341,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x133411),x133412),f198(f926(x133411,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(13344,plain,
% 164.85/165.16 (P107(f334(f70(a919),f312(a919,x133441,x133442)))),
% 164.85/165.16 inference(rename_variables,[],[3687])).
% 164.85/165.16 cnf(13345,plain,
% 164.85/165.16 (E(f334(f334(f246(a919),f334(a125,x133451)),f334(a125,x133452)),f334(a125,f334(f334(f246(a919),x133451),x133452)))),
% 164.85/165.16 inference(rename_variables,[],[3651])).
% 164.85/165.16 cnf(13348,plain,
% 164.85/165.16 (P107(f334(f70(a919),f312(a919,x133481,x133482)))),
% 164.85/165.16 inference(rename_variables,[],[3687])).
% 164.85/165.16 cnf(13349,plain,
% 164.85/165.16 (E(f334(f334(f247(a919),f334(a125,x133491)),f334(a125,x133492)),f334(a125,f334(f334(f247(a919),x133491),x133492)))),
% 164.85/165.16 inference(rename_variables,[],[3652])).
% 164.85/165.16 cnf(13352,plain,
% 164.85/165.16 (P107(f334(f70(a919),f312(a919,x133521,x133522)))),
% 164.85/165.16 inference(rename_variables,[],[3687])).
% 164.85/165.16 cnf(13361,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x133611),x133612),f198(f926(x133611,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(13362,plain,
% 164.85/165.16 (E(f334(f334(f16(x133621,x133622),x133623),x133624),x133623)),
% 164.85/165.16 inference(rename_variables,[],[3474])).
% 164.85/165.16 cnf(13365,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x133651,a913)),f334(f182(x133651),f334(f146(x133651,x133652),x133653))),f334(f182(x133651),x133653)))),
% 164.85/165.16 inference(rename_variables,[],[4127])).
% 164.85/165.16 cnf(13366,plain,
% 164.85/165.16 (E(f334(f334(f16(x133661,x133662),x133663),x133664),x133663)),
% 164.85/165.16 inference(rename_variables,[],[3474])).
% 164.85/165.16 cnf(13369,plain,
% 164.85/165.16 (P107(f334(f334(f248(f926(x133691,a913)),f334(f182(x133691),f334(f334(f185(x133691),x133692),x133693))),f334(f182(x133691),x133693)))),
% 164.85/165.16 inference(rename_variables,[],[4171])).
% 164.85/165.16 cnf(13370,plain,
% 164.85/165.16 (E(f334(f334(f16(x133701,x133702),x133703),x133704),x133703)),
% 164.85/165.16 inference(rename_variables,[],[3474])).
% 164.85/165.16 cnf(13374,plain,
% 164.85/165.16 (E(f334(f334(f16(x133741,x133742),x133743),x133744),x133743)),
% 164.85/165.16 inference(rename_variables,[],[3474])).
% 164.85/165.16 cnf(13387,plain,
% 164.85/165.16 (P107(f334(f334(f248(a1),f2(a1)),f334(f113(a1),x133871)))),
% 164.85/165.16 inference(rename_variables,[],[3583])).
% 164.85/165.16 cnf(13392,plain,
% 164.85/165.16 (P23(x133921,x133921,f5(x133921),x133922)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(13395,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x133951),x133952),f198(f926(x133951,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(13396,plain,
% 164.85/165.16 (E(f334(f292(x133961,x133961),f255(x133961,x133962)),x133962)),
% 164.85/165.16 inference(rename_variables,[],[3442])).
% 164.85/165.16 cnf(13397,plain,
% 164.85/165.16 (P23(x133971,x133971,f5(x133971),x133972)),
% 164.85/165.16 inference(rename_variables,[],[3717])).
% 164.85/165.16 cnf(13401,plain,
% 164.85/165.16 (E(f334(f292(x134011,x134011),f255(x134011,x134012)),x134012)),
% 164.85/165.16 inference(rename_variables,[],[3442])).
% 164.85/165.16 cnf(13415,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),f2(a919)),x134151))),
% 164.85/165.16 inference(rename_variables,[],[3505])).
% 164.85/165.16 cnf(13416,plain,
% 164.85/165.16 (P107(f334(f334(f249(a919),f2(a919)),f334(a125,x134161)))),
% 164.85/165.16 inference(rename_variables,[],[3564])).
% 164.85/165.16 cnf(13417,plain,
% 164.85/165.16 (E(f334(f292(x134171,x134171),f255(x134171,x134172)),x134172)),
% 164.85/165.16 inference(rename_variables,[],[3442])).
% 164.85/165.16 cnf(13491,plain,
% 164.85/165.16 (P107(f334(f334(f249(a1),f2(a1)),f334(f84(a1),f87(a1))))),
% 164.85/165.16 inference(scs_inference,[],[4743,4142,12684,12706,12836,12838,12840,3717,11315,12364,12463,12466,12555,12597,12601,12609,12678,12809,12811,13239,13249,13254,13258,13264,13267,13291,13392,13397,3725,12430,12902,12904,3734,3453,12867,12869,3454,12861,3418,12755,4683,4684,11947,4418,12873,3457,12887,3291,3352,12851,3353,3354,4682,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,11989,12021,12338,12531,12735,12783,12785,12793,12807,12818,12822,12824,12849,12855,12880,12885,12895,3781,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,11850,12153,12178,12190,12219,12225,12317,12426,12590,12648,13067,13316,3540,3503,12828,3685,12125,4660,10652,10746,11203,11295,12999,13336,3090,3091,3093,3094,3097,3098,3100,3101,3102,3104,3110,3111,3112,3113,3116,3117,3121,3123,3124,3128,3131,3135,3137,3144,3145,3147,3150,3153,3165,3168,3172,3186,3189,3190,3194,3205,3211,3212,3215,3216,3217,3229,3239,3242,3251,3252,3255,3256,3257,3258,4642,4643,3273,3351,4644,3821,4047,3465,3525,3442,12921,13118,13282,13396,13401,13417,3413,12622,12626,12630,3428,3536,3940,4246,3396,3551,12119,12681,12758,3314,3315,4033,11642,3539,12787,3379,3343,3800,3338,3537,4150,4041,3862,4477,4021,3323,3324,3297,3303,3329,3952,3360,3541,11051,11175,12427,12638,3412,4116,4673,10491,10649,11503,12582,12623,12627,4680,12594,3474,11970,11973,13208,13302,13362,13366,13370,13374,4720,11229,11320,11550,11553,3881,12814,3471,3587,3806,3580,4698,3555,12847,12898,3376,3377,10558,10870,4707,3639,3368,3294,3398,11632,4260,12612,12747,4118,11241,11378,11434,12566,12572,12695,12698,12725,4738,11153,11386,11497,11520,11558,11564,12510,4739,11274,11389,11500,4740,11392,11445,4741,11452,4742,3397,3677,12469,12507,12593,13117,3846,3629,4533,4534,3661,4671,11625,3783,3825,4110,3997,3749,13101,13105,13109,13113,13123,4043,12460,3663,3923,3552,10577,10688,10760,10830,10833,10873,10974,11219,12061,12149,12212,12288,12329,12404,12407,12729,12982,13021,13024,13066,13084,13315,13320,3933,11867,3467,3564,11710,11985,13416,3744,4713,10468,10471,10497,10982,10995,11111,11542,11635,12036,12041,12060,12264,12267,12350,12513,12616,12928,12947,12950,12974,13025,13186,13191,13215,13220,4726,11754,11781,11818,11847,13034,13038,3921,3686,3687,12953,12956,12959,12962,12992,12995,13344,13348,13352,4068,3651,13345,3652,13349,3511,3513,3487,4710,3375,4668,3872,4182,3670,4727,4253,11517,3805,3524,11992,11995,12434,12535,12709,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,11938,12054,12057,12615,13196,4222,4181,12142,12484,4127,11048,12323,12491,12637,13365,4171,13369,4176,11244,12361,12433,12490,12534,13211,4177,3847,12152,12295,12371,12417,4146,4210,3864,11247,11325,11407,11471,12316,12385,12643,12705,12722,12732,13248,13253,13273,13294,4730,10998,11397,12494,13261,3484,10586,10675,10816,10880,11730,11737,11941,11954,11988,12020,12122,12177,12378,3485,10954,11001,11004,11035,11059,11095,11133,11169,12193,12196,12199,12202,12392,12395,12398,12401,12477,12654,12701,12975,12998,13076,13087,13092,13095,13098,13131,13142,13155,13201,13226,13229,3486,10613,10663,10885,10977,11098,11790,12024,12033,12128,12139,12158,12163,12205,12228,12245,12989,13135,13158,13187,13192,13216,13221,3560,12353,13054,13102,13106,13110,13114,13124,13128,4709,10534,11019,11062,11071,11900,11922,12092,12095,12098,12101,12189,12208,12211,12224,12276,12279,12282,12285,12445,12448,12541,12544,12647,12687,12767,3636,10836,11106,11150,11381,11460,11539,11714,11950,12589,12770,13176,13243,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,11967,12001,12270,12273,12307,12354,12381,12519,12563,12569,12666,12669,12691,12746,12752,12761,12777,13053,13070,13073,13165,13244,13286,13305,13308,13341,13361,13395,3545,10867,10897,10906,10909,11489,11697,12688,12702,13035,13039,13042,3583,13329,13387,3577,4001,3938,10537,11870,11904,13016,4719,10488,10855,10858,11344,11362,11833,11890,11926,11951,12051,12080,12083,12086,12089,12349,13232,3505,10900,11056,11126,11874,11905,12050,12250,12453,12478,13063,13332,13415,3962,11998,12969,4301,3692,4716,3973,4008,4701,4704,4705,3460,3464,4703,4702,4469,3795,11863,4396,4732,10769,10772,4737,11238,11422,11530,11547,11587,4084,11584,11925,11929,12600,12608,12694,13238,3928,11166,11172,11190,12174,12300,12384,12662,3779,11300,11425,12410,12516,12526,12605,12657,12665,12774,13180,4258,3930,10903,11263,11431,11465,11476,12320,12604,12651,13278,3745,10819,10822,10912,11082,3747,4735,11864,4731,12937,4736,10775,11410,12472,12481,12522,4357,11041,12502,12525,4264,3961,12780,3907,3908,4733,10510,10513,10861,10864,11751,11930,12728,4734,11844,11935,3931,10825,11088,13319,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5607,5612,5614,5650,5652,5653,5655,5656,5658,5659,5661,5670,5675,5677,5678,5679,5680,5681,5682,5691,5701,5704,5715,5731,5732,5735,5745,5747,5748,5749,5774,5784,5799,5800,5809,5810,5812,5814,5819,5854,5859,5861,5921,5955,5956,5961,5967,5970,5971,5972,5973,5991,5994,5995,6003,6024,6054,6073,6076,6077,6079,6088,6103,6107,6110,6111,6112,6130,6141,6142,6173,6174,6178,6199,6202,6205,6227,6228,6254,6257,6265,6275,6283,6287,6294,6295,6296,6297,6333,6350,6401,6437,6439,6459,6460,6466,6470,6471,6474,6488,6503,6524,6525,6528,6531,6541,6556,6577,6584,6586,6601,6602,6605,6606,6608,6610,6611,6612,6614,6616,6619,6624,6625,6627,6628,6634,6636,6641,6678,6683,6699,6701,6702,6703,6738,6743,6745,6750,6751,6759,6763,6776,6799,6800,6802,6803,6814,6820,6838,6841,6859,6889,6890,6891,6897,6910,6929,6931,6933,6935,6940,6946,6948,6963,6968,6969,7004,7005,7006,7020,7021,7023,7024,7043,7045,7061,7086,7108,7119,7121,7123,7125,7126,7160,7161,7164,7165,7172,7173,7175,7177,7199,7208,7209,7220,7230,7269,7280,7284,7291,7302,7307,7309,7316,7325,7326,7339,7356,7375,7377,7395,7447,7448,7449,7451,7453,7457,7462,7526,7555,7570,7575,7586,7618,7621,7644,7666,7684,7687,7688,7698,7718,7720,7722,7724,7725,7726,7751,7777,7778,7809,7811,7812,7813,7818,7841,7859,7864,7870,7872,7879,7891,7892,7894,7917,7924,7947,8013,8014,8015,8063,8069,8070,8093,8094,8111,8112,8175,8176,8205,8236,8246,8257,8268,8300,8304,8310,8322,8340,8345,8368,8412,8441,8455,8474,8477,8503,8529,8595,8596,8599,8600,8672,8706,8707,8708,8709,8737,8769,8800,8807,8808,8849,8870,8914,8929,8975,8978,8993,9000,9042,9088,9089,9108,9109,9247,9253,9257,9277,9289,9312,9314,9317,9321,9324,9325,9335,9336,9355,9361,9371,9379,9425,9441,9501,9502,9508,9547,9571,9577,9616,9626,9629,9631,9632,9645,9669,9686,9700,9701,9705,9707,9737,9859,9907,9908,9949,9989,10105,10163,10306,10322,10327,3,2818,2819,2820,2821,2823,2825,2829,2830,2831,2841,2842,2843,2845,2846,2847,2852,2853,2854,2855,2856,2858,2866,2867,2870,2872,2875,2878,2879,2881,2882,2884,2885,2887,2888,2889,2890,2891,2892,2893,2894,2895,2901,2902,2903,2908,2909,2917,2918,2919,2923,2924,2925,2928,2931,2932,2933,2934,2939,2941,2945,2952,2954,2971,2972,2973,2988,2989,2991,2992,2995,2997,2998,3001,3007,3009,3020,3034,3049,3050,3052,3053,3056,3057,3070,5446,5623,5624,5625,5702,5798,5828,5862,5878,5880,5886,5949,5950,5951,5952,5959,5993,6125,6162,6172,6196,6231,6266,6418,6423,6457,6458,6479,6481,6483,6490,6491,6492,6493,6494,6495,6496,6497,6579,6648,6649,6737,6770,6771,6811,6812,6947,6962,7032,7033,7040,7062,7084,7092,7094,7140,7162,7163,7181,7182,7219,7263,7264,7363,7428,7429,7430,7431,7446,7478,7531,7532,7541,7546,7547,7558,7589,7590,7591,7592,7732,7733,7735,7737,7743,7744,7955,7961,7962,7972,8010,8131,8188,8210,8211,8227,8285,8381,8451,8452,8456,8489,8554,8555,8628,8648,8649,8650,8651,8803,9035,9061,9062,9140,9156,9211,9212,9332,9364,9389,9426,9468,9667,9802,9944,10132,10188,10190,10338,6561,6562,6651,6671,6672,7083,7300,8723,8969,9167,9168,9238,9239,9422,9519,9520,9521,9522,9740,10010,10024,10383,10384,6633,8546,8547,9025,9043,10011,10382,4823,4824,4825,4875,4879,4883,5018,5062,5063,5094,5148,5209,5269,5319,5345,5382,5384,5393,5394,5418,5462,5490,5510,5639,5707,5708,5709,5824,5825])).
% 164.85/165.16 cnf(13511,plain,
% 164.85/165.16 (~P107(f334(f70(x135111),f46(f926(x135111,a913),f256(f926(f926(x135111,a913),a913)))))),
% 164.85/165.16 inference(scs_inference,[],[4743,4142,12684,12706,12836,12838,12840,3717,11315,12364,12463,12466,12555,12597,12601,12609,12678,12809,12811,13239,13249,13254,13258,13264,13267,13291,13392,13397,3725,12430,12902,12904,3734,3453,12867,12869,3454,12861,3418,12755,4683,4684,11947,4418,12873,3457,12887,3291,3352,12851,3353,3354,4682,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,11989,12021,12338,12531,12735,12783,12785,12793,12807,12818,12822,12824,12849,12855,12880,12885,12895,3781,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,11850,12153,12178,12190,12219,12225,12317,12426,12590,12648,13067,13316,3540,3503,12828,3685,12125,4660,10652,10746,11203,11295,12999,13336,3090,3091,3093,3094,3097,3098,3100,3101,3102,3104,3110,3111,3112,3113,3116,3117,3121,3123,3124,3128,3131,3135,3137,3144,3145,3147,3150,3153,3165,3168,3172,3186,3189,3190,3194,3205,3211,3212,3215,3216,3217,3229,3239,3242,3251,3252,3255,3256,3257,3258,4642,4643,3273,3351,4644,3821,4047,3465,3525,3442,12921,13118,13282,13396,13401,13417,3413,12622,12626,12630,3428,3536,3940,4246,3396,3551,12119,12681,12758,3314,3315,4033,11642,3539,12787,3379,3343,3800,3338,3537,4150,4041,3862,4477,4021,3323,3324,3297,3303,3329,3952,3360,3541,11051,11175,12427,12638,3412,4116,4673,10491,10649,11503,12582,12623,12627,4680,12594,3474,11970,11973,13208,13302,13362,13366,13370,13374,4720,11229,11320,11550,11553,3881,12814,3471,3587,3806,3580,4698,3555,12847,12898,3376,3377,10558,10870,4707,3639,3368,3294,3398,11632,4260,12612,12747,4118,11241,11378,11434,12566,12572,12695,12698,12725,4738,11153,11386,11497,11520,11558,11564,12510,4739,11274,11389,11500,4740,11392,11445,4741,11452,4742,3397,3677,12469,12507,12593,13117,3846,3629,4533,4534,3661,4671,11625,3783,3825,4110,3997,3749,13101,13105,13109,13113,13123,4043,12460,3663,3923,3552,10577,10688,10760,10830,10833,10873,10974,11219,12061,12149,12212,12288,12329,12404,12407,12729,12982,13021,13024,13066,13084,13315,13320,3933,11867,3467,3564,11710,11985,13416,3744,4713,10468,10471,10497,10982,10995,11111,11542,11635,12036,12041,12060,12264,12267,12350,12513,12616,12928,12947,12950,12974,13025,13186,13191,13215,13220,4726,11754,11781,11818,11847,13034,13038,3921,3686,3687,12953,12956,12959,12962,12992,12995,13344,13348,13352,4068,3651,13345,3652,13349,3511,3513,3487,4710,3375,4668,3872,4182,3670,4727,4253,11517,3805,3524,11992,11995,12434,12535,12709,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,11938,12054,12057,12615,13196,4222,4181,12142,12484,4127,11048,12323,12491,12637,13365,4171,13369,4176,11244,12361,12433,12490,12534,13211,4177,3847,12152,12295,12371,12417,4146,4210,3864,11247,11325,11407,11471,12316,12385,12643,12705,12722,12732,13248,13253,13273,13294,4730,10998,11397,12494,13261,3484,10586,10675,10816,10880,11730,11737,11941,11954,11988,12020,12122,12177,12378,3485,10954,11001,11004,11035,11059,11095,11133,11169,12193,12196,12199,12202,12392,12395,12398,12401,12477,12654,12701,12975,12998,13076,13087,13092,13095,13098,13131,13142,13155,13201,13226,13229,3486,10613,10663,10885,10977,11098,11790,12024,12033,12128,12139,12158,12163,12205,12228,12245,12989,13135,13158,13187,13192,13216,13221,3560,12353,13054,13102,13106,13110,13114,13124,13128,4709,10534,11019,11062,11071,11900,11922,12092,12095,12098,12101,12189,12208,12211,12224,12276,12279,12282,12285,12445,12448,12541,12544,12647,12687,12767,3636,10836,11106,11150,11381,11460,11539,11714,11950,12589,12770,13176,13243,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,11967,12001,12270,12273,12307,12354,12381,12519,12563,12569,12666,12669,12691,12746,12752,12761,12777,13053,13070,13073,13165,13244,13286,13305,13308,13341,13361,13395,3545,10867,10897,10906,10909,11489,11697,12688,12702,13035,13039,13042,3583,13329,13387,3577,4001,3938,10537,11870,11904,13016,4719,10488,10855,10858,11344,11362,11833,11890,11926,11951,12051,12080,12083,12086,12089,12349,13232,3505,10900,11056,11126,11874,11905,12050,12250,12453,12478,13063,13332,13415,3962,11998,12969,4301,3692,4716,3973,4008,4701,4704,4705,3460,3464,4703,4702,4469,3795,11863,4396,4732,10769,10772,4737,11238,11422,11530,11547,11587,4084,11584,11925,11929,12600,12608,12694,13238,3928,11166,11172,11190,12174,12300,12384,12662,3779,11300,11425,12410,12516,12526,12605,12657,12665,12774,13180,4258,3930,10903,11263,11431,11465,11476,12320,12604,12651,13278,3745,10819,10822,10912,11082,3747,4735,11864,4731,12937,4736,10775,11410,12472,12481,12522,4357,11041,12502,12525,4264,3961,12780,3907,3908,4733,10510,10513,10861,10864,11751,11930,12728,4734,11844,11935,3931,10825,11088,13319,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5607,5612,5614,5650,5652,5653,5655,5656,5658,5659,5661,5670,5675,5677,5678,5679,5680,5681,5682,5691,5701,5704,5715,5731,5732,5735,5745,5747,5748,5749,5774,5784,5799,5800,5809,5810,5812,5814,5819,5854,5859,5861,5921,5955,5956,5961,5967,5970,5971,5972,5973,5991,5994,5995,6003,6024,6054,6073,6076,6077,6079,6088,6103,6107,6110,6111,6112,6130,6141,6142,6173,6174,6178,6199,6202,6205,6227,6228,6254,6257,6265,6275,6283,6287,6294,6295,6296,6297,6333,6350,6401,6437,6439,6459,6460,6466,6470,6471,6474,6488,6503,6524,6525,6528,6531,6541,6556,6577,6584,6586,6601,6602,6605,6606,6608,6610,6611,6612,6614,6616,6619,6624,6625,6627,6628,6634,6636,6641,6678,6683,6699,6701,6702,6703,6738,6743,6745,6750,6751,6759,6763,6776,6799,6800,6802,6803,6814,6820,6838,6841,6859,6889,6890,6891,6897,6910,6929,6931,6933,6935,6940,6946,6948,6963,6968,6969,7004,7005,7006,7020,7021,7023,7024,7043,7045,7061,7086,7108,7119,7121,7123,7125,7126,7160,7161,7164,7165,7172,7173,7175,7177,7199,7208,7209,7220,7230,7269,7280,7284,7291,7302,7307,7309,7316,7325,7326,7339,7356,7375,7377,7395,7447,7448,7449,7451,7453,7457,7462,7526,7555,7570,7575,7586,7618,7621,7644,7666,7684,7687,7688,7698,7718,7720,7722,7724,7725,7726,7751,7777,7778,7809,7811,7812,7813,7818,7841,7859,7864,7870,7872,7879,7891,7892,7894,7917,7924,7947,8013,8014,8015,8063,8069,8070,8093,8094,8111,8112,8175,8176,8205,8236,8246,8257,8268,8300,8304,8310,8322,8340,8345,8368,8412,8441,8455,8474,8477,8503,8529,8595,8596,8599,8600,8672,8706,8707,8708,8709,8737,8769,8800,8807,8808,8849,8870,8914,8929,8975,8978,8993,9000,9042,9088,9089,9108,9109,9247,9253,9257,9277,9289,9312,9314,9317,9321,9324,9325,9335,9336,9355,9361,9371,9379,9425,9441,9501,9502,9508,9547,9571,9577,9616,9626,9629,9631,9632,9645,9669,9686,9700,9701,9705,9707,9737,9859,9907,9908,9949,9989,10105,10163,10306,10322,10327,3,2818,2819,2820,2821,2823,2825,2829,2830,2831,2841,2842,2843,2845,2846,2847,2852,2853,2854,2855,2856,2858,2866,2867,2870,2872,2875,2878,2879,2881,2882,2884,2885,2887,2888,2889,2890,2891,2892,2893,2894,2895,2901,2902,2903,2908,2909,2917,2918,2919,2923,2924,2925,2928,2931,2932,2933,2934,2939,2941,2945,2952,2954,2971,2972,2973,2988,2989,2991,2992,2995,2997,2998,3001,3007,3009,3020,3034,3049,3050,3052,3053,3056,3057,3070,5446,5623,5624,5625,5702,5798,5828,5862,5878,5880,5886,5949,5950,5951,5952,5959,5993,6125,6162,6172,6196,6231,6266,6418,6423,6457,6458,6479,6481,6483,6490,6491,6492,6493,6494,6495,6496,6497,6579,6648,6649,6737,6770,6771,6811,6812,6947,6962,7032,7033,7040,7062,7084,7092,7094,7140,7162,7163,7181,7182,7219,7263,7264,7363,7428,7429,7430,7431,7446,7478,7531,7532,7541,7546,7547,7558,7589,7590,7591,7592,7732,7733,7735,7737,7743,7744,7955,7961,7962,7972,8010,8131,8188,8210,8211,8227,8285,8381,8451,8452,8456,8489,8554,8555,8628,8648,8649,8650,8651,8803,9035,9061,9062,9140,9156,9211,9212,9332,9364,9389,9426,9468,9667,9802,9944,10132,10188,10190,10338,6561,6562,6651,6671,6672,7083,7300,8723,8969,9167,9168,9238,9239,9422,9519,9520,9521,9522,9740,10010,10024,10383,10384,6633,8546,8547,9025,9043,10011,10382,4823,4824,4825,4875,4879,4883,5018,5062,5063,5094,5148,5209,5269,5319,5345,5382,5384,5393,5394,5418,5462,5490,5510,5639,5707,5708,5709,5824,5825,5851,5855,5915,5917,5926,5932,6006,6086,6238,6404])).
% 164.85/165.16 cnf(13523,plain,
% 164.85/165.16 (~P107(f334(f334(f249(a919),f2(a919)),f35(x135231,f2(a919),x135232,x135233,x135234,x135235,x135236,x135237,x135238,a26)))),
% 164.85/165.16 inference(scs_inference,[],[4743,4142,12684,12706,12836,12838,12840,3717,11315,12364,12463,12466,12555,12597,12601,12609,12678,12809,12811,13239,13249,13254,13258,13264,13267,13291,13392,13397,3725,12430,12902,12904,3734,3453,12867,12869,3454,12861,3418,12755,4683,4684,11947,4418,12873,3457,12887,3291,3352,12851,3353,3354,4682,4631,10427,10444,10500,10503,10593,10596,10894,10917,11178,11181,11593,11596,11611,11614,11652,11659,11662,11665,11668,11678,11722,11738,11773,11778,11784,11875,11878,11881,11884,11887,11891,11901,11989,12021,12338,12531,12735,12783,12785,12793,12807,12818,12822,12824,12849,12855,12880,12885,12895,3781,4648,10430,10437,10451,10462,10465,10566,10569,10572,10668,10791,11101,11285,11288,11307,11310,11506,11599,11606,11620,11671,11674,11711,11727,11787,11834,11850,12153,12178,12190,12219,12225,12317,12426,12590,12648,13067,13316,3540,3503,12828,3685,12125,4660,10652,10746,11203,11295,12999,13336,3090,3091,3093,3094,3097,3098,3100,3101,3102,3104,3110,3111,3112,3113,3116,3117,3121,3123,3124,3128,3131,3135,3137,3144,3145,3147,3150,3153,3165,3168,3172,3186,3189,3190,3194,3205,3211,3212,3215,3216,3217,3229,3239,3242,3251,3252,3255,3256,3257,3258,4642,4643,3273,3351,4644,3821,4047,3465,3525,3442,12921,13118,13282,13396,13401,13417,3413,12622,12626,12630,3428,3536,3940,4246,3396,3551,12119,12681,12758,3314,3315,4033,11642,3539,12787,3379,3343,3800,3338,3537,4150,4041,3862,4477,4021,3323,3324,3297,3303,3329,3952,3360,3541,11051,11175,12427,12638,3412,4116,4673,10491,10649,11503,12582,12623,12627,4680,12594,3474,11970,11973,13208,13302,13362,13366,13370,13374,4720,11229,11320,11550,11553,3881,12814,3471,3587,3806,3580,4698,3555,12847,12898,3376,3377,10558,10870,4707,3639,3368,3294,3398,11632,4260,12612,12747,4118,11241,11378,11434,12566,12572,12695,12698,12725,4738,11153,11386,11497,11520,11558,11564,12510,4739,11274,11389,11500,4740,11392,11445,4741,11452,4742,3397,3677,12469,12507,12593,13117,3846,3629,4533,4534,3661,4671,11625,3783,3825,4110,3997,3749,13101,13105,13109,13113,13123,4043,12460,3663,3923,3552,10577,10688,10760,10830,10833,10873,10974,11219,12061,12149,12212,12288,12329,12404,12407,12729,12982,13021,13024,13066,13084,13315,13320,3933,11867,3467,3564,11710,11985,13416,3744,4713,10468,10471,10497,10982,10995,11111,11542,11635,12036,12041,12060,12264,12267,12350,12513,12616,12928,12947,12950,12974,13025,13186,13191,13215,13220,4726,11754,11781,11818,11847,13034,13038,3921,3686,3687,12953,12956,12959,12962,12992,12995,13344,13348,13352,4068,3651,13345,3652,13349,3511,3513,3487,4710,3375,4668,3872,4182,3670,4727,4253,11517,3805,3524,11992,11995,12434,12535,12709,4718,10456,10459,10620,10709,10728,10735,10755,10763,10766,10780,10965,11206,11704,11797,11938,12054,12057,12615,13196,4222,4181,12142,12484,4127,11048,12323,12491,12637,13365,4171,13369,4176,11244,12361,12433,12490,12534,13211,4177,3847,12152,12295,12371,12417,4146,4210,3864,11247,11325,11407,11471,12316,12385,12643,12705,12722,12732,13248,13253,13273,13294,4730,10998,11397,12494,13261,3484,10586,10675,10816,10880,11730,11737,11941,11954,11988,12020,12122,12177,12378,3485,10954,11001,11004,11035,11059,11095,11133,11169,12193,12196,12199,12202,12392,12395,12398,12401,12477,12654,12701,12975,12998,13076,13087,13092,13095,13098,13131,13142,13155,13201,13226,13229,3486,10613,10663,10885,10977,11098,11790,12024,12033,12128,12139,12158,12163,12205,12228,12245,12989,13135,13158,13187,13192,13216,13221,3560,12353,13054,13102,13106,13110,13114,13124,13128,4709,10534,11019,11062,11071,11900,11922,12092,12095,12098,12101,12189,12208,12211,12224,12276,12279,12282,12285,12445,12448,12541,12544,12647,12687,12767,3636,10836,11106,11150,11381,11460,11539,11714,11950,12589,12770,13176,13243,4722,11028,11038,11142,11160,11163,11232,11235,11341,11349,11365,11400,11419,11428,11468,11509,11514,11533,11536,11567,11572,11575,11578,11581,11967,12001,12270,12273,12307,12354,12381,12519,12563,12569,12666,12669,12691,12746,12752,12761,12777,13053,13070,13073,13165,13244,13286,13305,13308,13341,13361,13395,3545,10867,10897,10906,10909,11489,11697,12688,12702,13035,13039,13042,3583,13329,13387,3577,4001,3938,10537,11870,11904,13016,4719,10488,10855,10858,11344,11362,11833,11890,11926,11951,12051,12080,12083,12086,12089,12349,13232,3505,10900,11056,11126,11874,11905,12050,12250,12453,12478,13063,13332,13415,3962,11998,12969,4301,3692,4716,3973,4008,4701,4704,4705,3460,3464,4703,4702,4469,3795,11863,4396,4732,10769,10772,4737,11238,11422,11530,11547,11587,4084,11584,11925,11929,12600,12608,12694,13238,3928,11166,11172,11190,12174,12300,12384,12662,3779,11300,11425,12410,12516,12526,12605,12657,12665,12774,13180,4258,3930,10903,11263,11431,11465,11476,12320,12604,12651,13278,3745,10819,10822,10912,11082,3747,4735,11864,4731,12937,4736,10775,11410,12472,12481,12522,4357,11041,12502,12525,4264,3961,12780,3907,3908,4733,10510,10513,10861,10864,11751,11930,12728,4734,11844,11935,3931,10825,11088,13319,4196,4752,4778,4829,4859,4874,4881,4882,4915,4920,4949,4955,5040,5064,5065,5080,5102,5126,5127,5149,5150,5163,5166,5189,5195,5213,5216,5217,5218,5223,5224,5247,5271,5272,5282,5287,5293,5337,5338,5346,5354,5358,5360,5373,5375,5381,5385,5386,5401,5407,5410,5411,5415,5449,5463,5471,5473,5474,5477,5478,5479,5487,5489,5493,5494,5495,5501,5505,5506,5507,5515,5519,5520,5525,5538,5546,5558,5560,5568,5572,5576,5601,5615,5616,5631,5643,5665,5671,5689,5690,5693,5712,5720,5721,5726,5727,5737,5739,5751,5755,5764,5765,5767,5782,5787,5796,5797,5808,5815,5829,5833,5836,5842,5843,5844,5847,5852,5890,5891,5894,5896,5899,5900,5901,5903,5905,5907,5912,5919,5934,5948,5953,5954,5957,5968,5969,5975,5978,5981,5986,6027,6039,6048,6051,6062,6066,6067,6068,6069,6070,6078,6089,6095,6113,6116,6128,6157,6171,6197,6214,6215,6218,6233,6235,6237,6239,6252,6253,6256,6258,6261,6262,6276,6284,6285,6286,6288,6290,6330,6331,6336,6339,6345,6349,6383,6385,6387,6389,6398,6400,6402,6408,6410,6416,6419,6427,6434,6435,6436,6441,6462,6463,6464,6465,6467,6473,6478,6511,6512,6515,6516,6517,6519,6520,6521,6522,6530,6563,6564,6565,6574,6596,6597,6617,6620,6631,6632,6638,6668,6670,6684,6688,6725,6727,6728,6781,6804,6846,6865,6874,6875,6876,6877,6895,6896,6902,6914,6917,6919,6921,6922,6923,6925,6939,6950,6951,6952,6966,7018,7029,7031,7035,7052,7053,7088,7100,7130,7149,7217,7245,7301,7322,7332,7335,7392,7402,7461,7463,7477,7486,7487,7488,7507,7511,7513,7559,7569,7572,7587,7636,7638,7641,7682,7683,7701,7769,7787,7810,7835,7847,7862,7873,7883,7884,7912,7914,7916,7926,7964,7975,8000,8060,8091,8123,8168,8184,8186,8202,8203,8278,8344,8369,8388,8414,8415,8453,8454,8471,8510,8512,8514,8521,8539,8543,8558,8581,8592,8594,8607,8613,8617,8618,8619,8641,8655,8656,8674,8675,8680,8681,8682,8683,8684,8702,8703,8704,8714,8728,8731,8742,8747,8749,8751,8752,8753,8760,8766,8776,8779,8796,8797,8805,8806,8814,8833,8846,8850,8871,8892,8893,8896,8897,8903,8912,8913,8935,8946,8956,8957,8958,8959,8961,8984,8985,8996,9045,9051,9057,9059,9077,9081,9092,9093,9177,9208,9209,9210,9225,9242,9250,9251,9279,9280,9323,9348,9380,9394,9395,9396,9411,9437,9453,9459,9463,9488,9489,9516,9580,9585,9588,9620,9621,9622,9646,9647,9664,9688,9694,9713,9738,9760,9769,9770,9771,9772,9788,9790,9795,9825,9826,9832,9833,9876,9877,9887,9912,9932,9934,9935,9943,9948,9959,9983,10016,10018,10022,10077,10121,10122,10124,10133,10134,10154,10159,10251,10330,10331,10332,10333,10396,10413,2,8,9,4765,4766,4784,4818,4819,4821,4844,4852,4853,4863,4907,4909,4954,5081,5082,5095,5115,5169,5170,5174,5175,5177,5179,5188,5191,5192,5202,5214,5215,5221,5242,5243,5260,5265,5266,5267,5268,5270,5278,5281,5288,5318,5351,5356,5357,5362,5367,5398,5408,5413,5429,5447,5448,5455,5456,5457,5467,5483,5485,5486,5491,5498,5499,5511,5512,5513,5514,5521,5522,5523,5524,5554,5555,5556,5564,5565,5566,5567,5607,5612,5614,5650,5652,5653,5655,5656,5658,5659,5661,5670,5675,5677,5678,5679,5680,5681,5682,5691,5701,5704,5715,5731,5732,5735,5745,5747,5748,5749,5774,5784,5799,5800,5809,5810,5812,5814,5819,5854,5859,5861,5921,5955,5956,5961,5967,5970,5971,5972,5973,5991,5994,5995,6003,6024,6054,6073,6076,6077,6079,6088,6103,6107,6110,6111,6112,6130,6141,6142,6173,6174,6178,6199,6202,6205,6227,6228,6254,6257,6265,6275,6283,6287,6294,6295,6296,6297,6333,6350,6401,6437,6439,6459,6460,6466,6470,6471,6474,6488,6503,6524,6525,6528,6531,6541,6556,6577,6584,6586,6601,6602,6605,6606,6608,6610,6611,6612,6614,6616,6619,6624,6625,6627,6628,6634,6636,6641,6678,6683,6699,6701,6702,6703,6738,6743,6745,6750,6751,6759,6763,6776,6799,6800,6802,6803,6814,6820,6838,6841,6859,6889,6890,6891,6897,6910,6929,6931,6933,6935,6940,6946,6948,6963,6968,6969,7004,7005,7006,7020,7021,7023,7024,7043,7045,7061,7086,7108,7119,7121,7123,7125,7126,7160,7161,7164,7165,7172,7173,7175,7177,7199,7208,7209,7220,7230,7269,7280,7284,7291,7302,7307,7309,7316,7325,7326,7339,7356,7375,7377,7395,7447,7448,7449,7451,7453,7457,7462,7526,7555,7570,7575,7586,7618,7621,7644,7666,7684,7687,7688,7698,7718,7720,7722,7724,7725,7726,7751,7777,7778,7809,7811,7812,7813,7818,7841,7859,7864,7870,7872,7879,7891,7892,7894,7917,7924,7947,8013,8014,8015,8063,8069,8070,8093,8094,8111,8112,8175,8176,8205,8236,8246,8257,8268,8300,8304,8310,8322,8340,8345,8368,8412,8441,8455,8474,8477,8503,8529,8595,8596,8599,8600,8672,8706,8707,8708,8709,8737,8769,8800,8807,8808,8849,8870,8914,8929,8975,8978,8993,9000,9042,9088,9089,9108,9109,9247,9253,9257,9277,9289,9312,9314,9317,9321,9324,9325,9335,9336,9355,9361,9371,9379,9425,9441,9501,9502,9508,9547,9571,9577,9616,9626,9629,9631,9632,9645,9669,9686,9700,9701,9705,9707,9737,9859,9907,9908,9949,9989,10105,10163,10306,10322,10327,3,2818,2819,2820,2821,2823,2825,2829,2830,2831,2841,2842,2843,2845,2846,2847,2852,2853,2854,2855,2856,2858,2866,2867,2870,2872,2875,2878,2879,2881,2882,2884,2885,2887,2888,2889,2890,2891,2892,2893,2894,2895,2901,2902,2903,2908,2909,2917,2918,2919,2923,2924,2925,2928,2931,2932,2933,2934,2939,2941,2945,2952,2954,2971,2972,2973,2988,2989,2991,2992,2995,2997,2998,3001,3007,3009,3020,3034,3049,3050,3052,3053,3056,3057,3070,5446,5623,5624,5625,5702,5798,5828,5862,5878,5880,5886,5949,5950,5951,5952,5959,5993,6125,6162,6172,6196,6231,6266,6418,6423,6457,6458,6479,6481,6483,6490,6491,6492,6493,6494,6495,6496,6497,6579,6648,6649,6737,6770,6771,6811,6812,6947,6962,7032,7033,7040,7062,7084,7092,7094,7140,7162,7163,7181,7182,7219,7263,7264,7363,7428,7429,7430,7431,7446,7478,7531,7532,7541,7546,7547,7558,7589,7590,7591,7592,7732,7733,7735,7737,7743,7744,7955,7961,7962,7972,8010,8131,8188,8210,8211,8227,8285,8381,8451,8452,8456,8489,8554,8555,8628,8648,8649,8650,8651,8803,9035,9061,9062,9140,9156,9211,9212,9332,9364,9389,9426,9468,9667,9802,9944,10132,10188,10190,10338,6561,6562,6651,6671,6672,7083,7300,8723,8969,9167,9168,9238,9239,9422,9519,9520,9521,9522,9740,10010,10024,10383,10384,6633,8546,8547,9025,9043,10011,10382,4823,4824,4825,4875,4879,4883,5018,5062,5063,5094,5148,5209,5269,5319,5345,5382,5384,5393,5394,5418,5462,5490,5510,5639,5707,5708,5709,5824,5825,5851,5855,5915,5917,5926,5932,6006,6086,6238,6404,6523,6681,6883,6884,7095,7135])).
% 164.85/165.16 cnf(13666,plain,
% 164.85/165.16 (~E(f334(f334(f161(x136661),x136662),x136663),x136663)),
% 164.85/165.16 inference(rename_variables,[],[4673])).
% 164.85/165.16 cnf(13687,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x136871),x136872),f334(f318(x136871,x136873,x136874),f198(f926(x136873,a913)))))),
% 164.85/165.16 inference(rename_variables,[],[11162])).
% 164.85/165.16 cnf(13690,plain,
% 164.85/165.16 (P107(f334(f334(f249(a1),f334(f334(f23(a1),x136901),f87(a1))),x136901))),
% 164.85/165.16 inference(rename_variables,[],[10976])).
% 164.85/165.16 cnf(13695,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x136951),x136952),f198(f926(x136951,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(13702,plain,
% 164.85/165.16 (P107(f334(f334(f336(x137021),f334(x137022,x137023)),f334(f317(x137024,x137021,x137022),f256(f926(x137024,a913)))))),
% 164.85/165.16 inference(rename_variables,[],[4084])).
% 164.85/165.16 cnf(13710,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x137101),x137101))),
% 164.85/165.16 inference(rename_variables,[],[3485])).
% 164.85/165.16 cnf(13726,plain,
% 164.85/165.16 (~P107(f334(f334(f336(x137261),x137262),f198(f926(x137261,a913))))),
% 164.85/165.16 inference(rename_variables,[],[4722])).
% 164.85/165.16 cnf(13736,plain,
% 164.85/165.16 (~E(f334(f334(f161(x137361),x137362),x137363),x137363)),
% 164.85/165.16 inference(rename_variables,[],[4673])).
% 164.85/165.16 cnf(13745,plain,
% 164.85/165.16 (~P107(f334(f334(f336(a919),x137451),f334(f290(a919),f2(a919))))),
% 164.85/165.16 inference(rename_variables,[],[12017])).
% 164.85/165.16 cnf(13752,plain,
% 164.85/165.16 (P107(f334(f334(f248(a919),x137521),f334(f334(f90(a919),x137521),x137521)))),
% 164.85/165.16 inference(rename_variables,[],[3745])).
% 164.85/165.16 cnf(13787,plain,
% 164.85/165.16 (~P107(f334(f334(f336(f925(x137871,x137871)),x137872),f255(x137871,f198(f926(x137871,a913)))))),
% 164.85/165.16 inference(rename_variables,[],[11159])).
% 164.85/165.16 cnf(13794,plain,
% 164.85/165.16 (~E(f334(f334(f161(x137941),x137942),x137943),x137943)),
% 164.85/165.16 inference(rename_variables,[],[4673])).
% 164.85/165.16 cnf(13876,plain,
% 164.85/165.16 ($false),
% 164.85/165.16 inference(scs_inference,[],[4222,4260,4735,3485,13710,3560,4738,3577,3933,4084,13702,3555,4722,13695,13726,4176,3273,4660,4673,13666,13736,13794,4680,3467,3564,4253,3938,3505,3745,13752,4631,3324,4739,4709,4733,4734,11766,10520,13322,12077,11987,13213,11569,13491,12480,12127,12716,12749,10976,13690,11297,10916,10743,11210,13225,13228,10921,13523,12515,12017,13745,11159,13787,11162,13687,11478,10911,13511,12319,11436,11440,12584,3138,2,8,5102,5217,5487,5671,5934,5981,6434,6435,7572,9396,5901,5149,8714,5568,6921,7587,5505,5765,6416,8742,5915,5218,5954,8674,9825,8191,4829,9622,4874,6116,6923,4915,9250,6876,5094,6914,5360,5473,8453,9092,7018,10251,6233,9760,6330,8996,7914,5319,6952,7769,10077,9516,6078,5478,7149,7683,9488,6387,9943,5693,8619,8805,9,5501,4875,6404,9437,9620,7559,7847,8675,5576,9877,5538,5346,7461,10413,5932,6345,8539,6237,6069,5375,5495,8414,9833,5926,4859]),
% 164.85/165.16 ['proof']).
% 164.85/165.17 % SZS output end Proof
% 164.85/165.17 % Total time :149.940000s
%------------------------------------------------------------------------------